Datasets:
microsoft
/
FStarDataSet

Dataset card Data Studio Files Community
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Prims.Tot
val va_wp_Mod_cr0 (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (())))
val va_wp_Mod_cr0 (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Mod_cr0 (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (forall (va_x_cr0: cr0_t). let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (())))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Prims.l_Forall", "Vale.PPC64LE.Machine_s.cr0_t", "Prims.l_imp", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.Decls.va_upd_cr0" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr]
false
true
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Mod_cr0 (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.AES.PPC64LE.GHash.va_wp_Mod_cr0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 31, "end_line": 1362, "start_col": 2, "start_line": 1361 }
Prims.Tot
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Mod_cr0 () = (va_Block (va_CNil ()))
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code let va_code_Mod_cr0 () =
false
null
false
(va_Block (va_CNil ()))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Prims.unit", "Vale.PPC64LE.Decls.va_Block", "Vale.PPC64LE.Decls.va_CNil", "Vale.PPC64LE.Decls.va_code" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr]
false
true
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[]
Vale.AES.PPC64LE.GHash.va_code_Mod_cr0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code
{ "end_col": 25, "end_line": 1330, "start_col": 2, "start_line": 1330 }
Prims.Tot
val va_codegen_success_Ghash_buffer : va_dummy:unit -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Ghash_buffer () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_Ghash_buffer_while0 ()) (va_pbool_and (va_codegen_success_GhashUnroll_n false) (va_ttrue ())))))))))))))
val va_codegen_success_Ghash_buffer : va_dummy:unit -> Tot va_pbool let va_codegen_success_Ghash_buffer () =
false
null
false
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_Ghash_buffer_while0 ()) (va_pbool_and (va_codegen_success_GhashUnroll_n false) (va_ttrue ())))))))))))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Prims.unit", "Vale.PPC64LE.Decls.va_pbool_and", "Vale.PPC64LE.InsBasic.va_codegen_success_LoadImm64", "Vale.PPC64LE.Decls.va_op_reg_opr_reg", "Vale.PPC64LE.InsVector.va_codegen_success_Load128_byte16_buffer", "Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet", "Vale.PPC64LE.Decls.va_op_vec_opr_vec", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.InsVector.va_codegen_success_Load128_byte16_buffer_index", "Vale.PPC64LE.InsVector.va_codegen_success_Vspltisw", "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.GHash.va_codegen_success_Ghash_buffer_while0", "Vale.AES.PPC64LE.GHash.va_codegen_success_GhashUnroll_n", "Vale.PPC64LE.Decls.va_ttrue", "Vale.PPC64LE.Decls.va_pbool" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ())) = (va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer_while0 val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_while0 () = (va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons (va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ()))) val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_while0 () = (va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) = let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat) -> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7 va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16 `op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h == Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in va_QEmpty ((index))))) val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (~(va_get_reg 6 va_sM >= 2))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_while0 (va_code_Ghash_buffer_while0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_while0 ())) = (va_QProc (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_CCons (va_code_Ghash_buffer_while0 ()) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg 6) (va_const_cmp 0)) (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n false) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))))) (va_Block (va_CNil ()))) (va_CNil ())))))))))))))) [@ "opaque_to_smt" va_qattr]
false
true
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Ghash_buffer : va_dummy:unit -> Tot va_pbool
[]
Vale.AES.PPC64LE.GHash.va_codegen_success_Ghash_buffer
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool
{ "end_col": 36, "end_line": 1913, "start_col": 2, "start_line": 1901 }
Prims.Tot
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ()))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool let va_codegen_success_MulAdd_unroll_2way () =
false
null
false
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ()))))))))))))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Prims.unit", "Vale.PPC64LE.Decls.va_pbool_and", "Vale.PPC64LE.InsBasic.va_codegen_success_LoadImm64", "Vale.PPC64LE.Decls.va_op_reg_opr_reg", "Vale.PPC64LE.InsVector.va_codegen_success_Load128_byte16_buffer", "Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet", "Vale.PPC64LE.Decls.va_op_vec_opr_vec", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.InsVector.va_codegen_success_Load128_byte16_buffer_index", "Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMulLow", "Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMul", "Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMulHigh", "Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyAdd", "Vale.PPC64LE.Decls.va_ttrue", "Vale.PPC64LE.Decls.va_pbool" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr]
false
true
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[]
Vale.AES.PPC64LE.GHash.va_codegen_success_MulAdd_unroll_2way
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool
{ "end_col": 35, "end_line": 257, "start_col": 2, "start_line": 240 }
Prims.Tot
val va_code_Ghash_register : va_dummy:unit -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))))))))))))
val va_code_Ghash_register : va_dummy:unit -> Tot va_code let va_code_Ghash_register () =
false
null
false
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10 ) (- 15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))))))))))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Prims.unit", "Vale.PPC64LE.Decls.va_Block", "Vale.PPC64LE.Decls.va_CCons", "Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer", "Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet", "Vale.PPC64LE.Decls.va_op_vec_opr_vec", "Vale.PPC64LE.Decls.va_op_reg_opr_reg", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.InsVector.va_code_Vspltisw", "Vale.AES.PPC64LE.PolyOps.va_code_VSwap", "Vale.AES.PPC64LE.GF128_Mul.va_code_High64ToLow", "Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh", "Vale.PPC64LE.Decls.va_CNil", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyAdd", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulLow", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyMul", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulHigh", "Vale.PPC64LE.InsBasic.va_code_LoadImmShl64", "Prims.op_Minus", "Vale.PPC64LE.InsVector.va_code_Mtvsrws", "Vale.PPC64LE.InsVector.va_code_Vsldoi", "Vale.AES.PPC64LE.GHash.va_code_ReduceLast", "Vale.PPC64LE.Decls.va_code" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr]
false
true
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Ghash_register : va_dummy:unit -> Tot va_code
[]
Vale.AES.PPC64LE.GHash.va_code_Ghash_register
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code
{ "end_col": 24, "end_line": 909, "start_col": 2, "start_line": 895 }
Prims.Tot
val va_codegen_success_ReduceLast : va_dummy:unit -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
val va_codegen_success_ReduceLast : va_dummy:unit -> Tot va_pbool let va_codegen_success_ReduceLast () =
false
null
false
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Prims.unit", "Vale.PPC64LE.Decls.va_pbool_and", "Vale.AES.PPC64LE.GHash.va_codegen_success_Reduce", "Vale.PPC64LE.Decls.va_ttrue", "Vale.PPC64LE.Decls.va_pbool" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr]
false
true
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_ReduceLast : va_dummy:unit -> Tot va_pbool
[]
Vale.AES.PPC64LE.GHash.va_codegen_success_ReduceLast
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool
{ "end_col": 61, "end_line": 725, "start_col": 2, "start_line": 725 }
Prims.Tot
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool let va_codegen_success_Ghash_buffer_loop_body () =
false
null
false
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Prims.unit", "Vale.PPC64LE.Decls.va_pbool_and", "Vale.AES.PPC64LE.GHash.va_codegen_success_GhashUnroll_n", "Vale.PPC64LE.InsBasic.va_codegen_success_AddImm", "Vale.PPC64LE.Decls.va_op_reg_opr_reg", "Vale.PPC64LE.InsBasic.va_codegen_success_SubImm", "Vale.PPC64LE.Decls.va_ttrue", "Vale.PPC64LE.Decls.va_pbool" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr]
false
true
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[]
Vale.AES.PPC64LE.GHash.va_codegen_success_Ghash_buffer_loop_body
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool
{ "end_col": 67, "end_line": 1106, "start_col": 2, "start_line": 1104 }
Prims.Tot
val va_qcode_Mod_cr0 (va_mods: va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_qcode_Mod_cr0 (va_mods: va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) let va_qcode_Mod_cr0 (va_mods: va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in va_QEmpty (())))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.QuickCode.va_mods_t", "Vale.PPC64LE.QuickCodes.qblock", "Prims.unit", "Prims.Nil", "Vale.PPC64LE.Machine_s.precode", "Vale.PPC64LE.Decls.ins", "Vale.PPC64LE.Decls.ocmp", "Vale.PPC64LE.Decls.va_state", "Vale.PPC64LE.QuickCodes.va_QEmpty", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCodes.quickCodes", "Vale.PPC64LE.QuickCode.va_quickCode", "Vale.AES.PPC64LE.GHash.va_code_Mod_cr0" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr]
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Mod_cr0 (va_mods: va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ()))
[]
Vale.AES.PPC64LE.GHash.va_qcode_Mod_cr0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_Mod_cr0 ())
{ "end_col": 92, "end_line": 1339, "start_col": 2, "start_line": 1339 }
Prims.Tot
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ())))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool let va_codegen_success_Ghash_buffer_body0 () =
false
null
false
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ())))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Prims.unit", "Vale.PPC64LE.Decls.va_pbool_and", "Vale.AES.PPC64LE.GHash.va_codegen_success_Mod_cr0", "Vale.AES.PPC64LE.GHash.va_codegen_success_Ghash_buffer_loop_body", "Vale.PPC64LE.Decls.va_ttrue", "Vale.PPC64LE.Decls.va_pbool" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr]
false
true
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[]
Vale.AES.PPC64LE.GHash.va_codegen_success_Ghash_buffer_body0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool
{ "end_col": 66, "end_line": 1395, "start_col": 2, "start_line": 1394 }
Prims.Tot
val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Ghash_buffer_while0 () = (va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons (va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code let va_code_Ghash_buffer_while0 () =
false
null
false
(va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons (va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ())))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Prims.unit", "Vale.PPC64LE.Decls.va_Block", "Vale.PPC64LE.Decls.va_CCons", "Vale.PPC64LE.Decls.va_While", "Vale.PPC64LE.Decls.va_cmp_ge", "Vale.PPC64LE.Decls.va_op_cmp_reg", "Vale.PPC64LE.Decls.va_const_cmp", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0", "Vale.PPC64LE.Decls.va_CNil", "Vale.PPC64LE.Decls.va_code" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ())) = (va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer_while0 val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr]
false
true
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code
[]
Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_while0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code
{ "end_col": 66, "end_line": 1626, "start_col": 2, "start_line": 1625 }
Prims.Tot
val va_code_Ghash_buffer : va_dummy:unit -> Tot va_code
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Ghash_buffer () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_CCons (va_code_Ghash_buffer_while0 ()) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg 6) (va_const_cmp 0)) (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n false) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))))) (va_Block (va_CNil ()))) (va_CNil ()))))))))))))))
val va_code_Ghash_buffer : va_dummy:unit -> Tot va_code let va_code_Ghash_buffer () =
false
null
false
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_CCons (va_code_Ghash_buffer_while0 ()) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg 6) (va_const_cmp 0)) (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n false ) (va_CCons (va_Block (va_CNil ()) ) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))))) (va_Block (va_CNil ()))) (va_CNil ()))))))))))))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Prims.unit", "Vale.PPC64LE.Decls.va_Block", "Vale.PPC64LE.Decls.va_CCons", "Vale.PPC64LE.InsBasic.va_code_LoadImm64", "Vale.PPC64LE.Decls.va_op_reg_opr_reg", "Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer", "Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet", "Vale.PPC64LE.Decls.va_op_vec_opr_vec", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer_index", "Vale.PPC64LE.InsVector.va_code_Vspltisw", "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.GHash.va_code_Ghash_buffer_while0", "Vale.PPC64LE.Decls.va_IfElse", "Vale.PPC64LE.Decls.va_cmp_gt", "Vale.PPC64LE.Decls.va_op_cmp_reg", "Vale.PPC64LE.Decls.va_const_cmp", "Vale.PPC64LE.Decls.va_CNil", "Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n", "Vale.PPC64LE.Decls.va_code" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ())) = (va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer_while0 val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_while0 () = (va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons (va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ()))) val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_while0 () = (va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) = let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat) -> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7 va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16 `op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h == Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in va_QEmpty ((index))))) val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (~(va_get_reg 6 va_sM >= 2))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_while0 (va_code_Ghash_buffer_while0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_while0 ())) = (va_QProc (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer [@ "opaque_to_smt" va_qattr]
false
true
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Ghash_buffer : va_dummy:unit -> Tot va_code
[]
Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code
{ "end_col": 54, "end_line": 1897, "start_col": 2, "start_line": 1884 }
Prims.Tot
val va_quick_Reduce (f: poly) : (va_quickCode unit (va_code_Reduce ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f))
val va_quick_Reduce (f: poly) : (va_quickCode unit (va_code_Reduce ())) let va_quick_Reduce (f: poly) : (va_quickCode unit (va_code_Reduce ())) =
false
null
false
(va_QProc (va_code_Reduce ()) ([ va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0 ]) (va_wp_Reduce f) (va_wpProof_Reduce f))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.QuickCode.va_QProc", "Prims.unit", "Vale.AES.PPC64LE.GHash.va_code_Reduce", "Prims.Cons", "Vale.PPC64LE.QuickCode.mod_t", "Vale.PPC64LE.QuickCode.va_Mod_vec", "Prims.Nil", "Vale.AES.PPC64LE.GHash.va_wp_Reduce", "Vale.AES.PPC64LE.GHash.va_wpProof_Reduce", "Vale.PPC64LE.QuickCode.va_quickCode" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr]
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Reduce (f: poly) : (va_quickCode unit (va_code_Reduce ()))
[]
Vale.AES.PPC64LE.GHash.va_quick_Reduce
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f: Vale.Math.Poly2_s.poly -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_Reduce ())
{ "end_col": 7, "end_line": 714, "start_col": 2, "start_line": 712 }
Prims.Tot
val va_quick_MulAdd_unroll_2way (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data))
val va_quick_MulAdd_unroll_2way (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) let va_quick_MulAdd_unroll_2way (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
false
null
false
(va_QProc (va_code_MulAdd_unroll_2way ()) ([ va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10 ]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.Math.Poly2_s.poly", "FStar.Seq.Base.seq", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.QuickCode.va_QProc", "Prims.unit", "Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way", "Prims.Cons", "Vale.PPC64LE.QuickCode.mod_t", "Vale.PPC64LE.QuickCode.va_Mod_vec", "Vale.PPC64LE.QuickCode.va_Mod_reg", "Prims.Nil", "Vale.AES.PPC64LE.GHash.va_wp_MulAdd_unroll_2way", "Vale.AES.PPC64LE.GHash.va_wpProof_MulAdd_unroll_2way", "Vale.PPC64LE.QuickCode.va_quickCode" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_MulAdd_unroll_2way (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ()))
[]
Vale.AES.PPC64LE.GHash.va_quick_MulAdd_unroll_2way
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
in_b: Vale.PPC64LE.Memory.buffer128 -> index: Prims.nat -> h: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way ())
{ "end_col": 15, "end_line": 516, "start_col": 2, "start_line": 513 }
Prims.Tot
val va_qcode_GhashUnroll_n (va_mods: va_mods_t) (exactly2: bool) (in_b: buffer128) (index: nat) (h_BE y_prev: quad32) (data: (seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
val va_qcode_GhashUnroll_n (va_mods: va_mods_t) (exactly2: bool) (in_b: buffer128) (index: nat) (h_BE y_prev: quad32) (data: (seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) let va_qcode_GhashUnroll_n (va_mods: va_mods_t) (exactly2: bool) (in_b: buffer128) (index: nat) (h_BE y_prev: quad32) (data: (seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let n:Prims.nat = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s: va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s: va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s: va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (- 15872)) (fun (va_s: va_state) _ -> let va_arg27:Vale.Def.Types_s.nat64 = (- 15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.QuickCode.va_mods_t", "Prims.bool", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.PPC64LE.Memory.quad32", "FStar.Seq.Base.seq", "Vale.PPC64LE.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.QuickCodes.if_code", "Vale.PPC64LE.QuickCodes.block", "Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way", "Prims.Nil", "Vale.PPC64LE.Machine_s.precode", "Vale.PPC64LE.Decls.ins", "Vale.PPC64LE.Decls.ocmp", "Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way", "Vale.PPC64LE.InsVector.va_code_Vspltisw", "Vale.PPC64LE.Decls.va_op_vec_opr_vec", "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.InsVector.va_code_Vsldoi", "Vale.AES.PPC64LE.GHash.va_code_ReduceLast", "Vale.PPC64LE.Decls.va_state", "Vale.PPC64LE.QuickCodes.va_QBind", "Vale.PPC64LE.QuickCodes.va_range1", "Vale.PPC64LE.QuickCodes.va_qInlineIf", "Vale.PPC64LE.QuickCodes.va_QSeq", "Vale.AES.PPC64LE.GHash.va_quick_MulAdd_unroll_2way", "Vale.PPC64LE.QuickCodes.va_QEmpty", "Vale.PPC64LE.QuickCodes.quickCodes", "Vale.AES.PPC64LE.GHash.va_quick_MulAdd_unroll_1way", "Vale.PPC64LE.InsVector.va_quick_Vspltisw", "Vale.PPC64LE.InsBasic.va_quick_LoadImmShl64", "Vale.PPC64LE.QuickCodes.va_qPURE", "Prims.pure_post", "Prims.l_and", "Prims.l_True", "Prims.l_Forall", "Prims.l_imp", "Prims.eq2", "Prims.int", "Vale.Def.Types_s.ishl", "Prims.op_Modulus", "Prims.op_Multiply", "Prims.pow2", "Vale.AES.Types_helpers.lemma_ishl_64", "Vale.PPC64LE.InsVector.va_quick_Mtvsrws", "Vale.PPC64LE.InsVector.va_quick_Vsldoi", "Vale.AES.PPC64LE.GHash.va_quick_ReduceLast", "Vale.Def.Words_s.nat64", "Vale.PPC64LE.Machine_s.pow2_64", "FStar.Seq.Base.length", "Vale.AES.GHash_BE.poly128", "Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128", "Vale.Math.Poly2_s.poly", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCode.va_quickCode", "Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_GhashUnroll_n (va_mods: va_mods_t) (exactly2: bool) (in_b: buffer128) (index: nat) (h_BE y_prev: quad32) (data: (seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2))
[]
Vale.AES.PPC64LE.GHash.va_qcode_GhashUnroll_n
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> exactly2: Prims.bool -> in_b: Vale.PPC64LE.Memory.buffer128 -> index: Prims.nat -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n exactly2)
{ "end_col": 68, "end_line": 854, "start_col": 2, "start_line": 825 }
Prims.Ghost
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10 ]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.Math.Poly2_s.poly", "FStar.Seq.Base.seq", "Vale.PPC64LE.Memory.quad32", "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.GHash.va_lemma_MulAdd_unroll_2way", "Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.AES.PPC64LE.GHash.va_wpProof_MulAdd_unroll_2way
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
in_b: Vale.PPC64LE.Memory.buffer128 -> index: Prims.nat -> h: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 508, "start_col": 69, "start_line": 498 }
Prims.Tot
val va_qcode_ReduceLast (va_mods: va_mods_t) (h_BE y_prev: quad32) (data: (seq quad32)) : (va_quickCode unit (va_code_ReduceLast ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
val va_qcode_ReduceLast (va_mods: va_mods_t) (h_BE y_prev: quad32) (data: (seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) let va_qcode_ReduceLast (va_mods: va_mods_t) (h_BE y_prev: quad32) (data: (seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let n:Prims.nat = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s: va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let va_arg25:Prims.nat = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let va_arg24:Prims.nat = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32) = data in let va_arg22:Vale.Def.Types_s.quad32 = y_prev in let va_arg21:Vale.Def.Types_s.quad32 = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let va_arg20:Vale.Def.Types_s.quad32 = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20 ) (va_QEmpty (()))))))))))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.QuickCode.va_mods_t", "Vale.PPC64LE.Memory.quad32", "FStar.Seq.Base.seq", "Vale.PPC64LE.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.PPC64LE.Decls.va_code", "Vale.AES.PPC64LE.GHash.va_code_Reduce", "Vale.PPC64LE.Machine_s.Block", "Vale.PPC64LE.Decls.ins", "Vale.PPC64LE.Decls.ocmp", "Prims.Nil", "Vale.PPC64LE.Machine_s.precode", "Vale.PPC64LE.Decls.va_state", "Vale.PPC64LE.QuickCodes.va_qPURE", "Prims.pure_post", "Prims.l_and", "Prims.l_True", "Prims.l_Forall", "Prims.l_imp", "Prims.eq2", "Vale.Math.Poly2_s.poly", "Vale.Math.Poly2.mask", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.Def.Words_s.Mkfour", "Vale.Def.Words_s.nat32", "Vale.Math.Poly2_s.reverse", "Vale.AES.GF128.gf128_low_shift", "Vale.Math.Poly2_s.shift", "Prims.op_Minus", "Vale.Math.Poly2_s.zero", "Vale.PPC64LE.QuickCodes.va_range1", "Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev", "Prims.int", "Vale.Math.Poly2_s.degree", "Vale.AES.GF128_s.gf128_modulus_low_terms", "Vale.Math.Poly2_s.monomial", "Vale.AES.GF128_s.gf128_modulus", "Vale.AES.GF128.lemma_gf128_degree", "Vale.PPC64LE.QuickCodes.va_QBind", "Vale.AES.PPC64LE.GHash.va_quick_Reduce", "Vale.PPC64LE.QuickCodes.va_qAssertSquash", "Prims.b2t", "Prims.op_GreaterThanOrEqual", "Prims.op_Subtraction", "Prims.squash", "Vale.AES.GHash_BE.ghash_unroll", "Vale.AES.GHash_BE.ghash_unroll_back", "Prims.op_Addition", "Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward", "Prims.op_LessThan", "Vale.AES.GF128.mod_rev", "Vale.AES.GHash_BE.ghash_poly", "Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll", "Vale.AES.GHash_BE.ghash_incremental", "Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128", "FStar.Seq.Base.length", "Vale.Def.Types_s.quad32", "Vale.AES.GHash_BE.lemma_ghash_incremental_poly", "Vale.Math.Poly2.Bits_s.to_quad32", "Vale.Math.Poly2.Bits.lemma_to_of_quad32", "Vale.PPC64LE.QuickCodes.va_QEmpty", "Prims.nat", "Vale.PPC64LE.QuickCodes.quickCodes", "Vale.AES.GHash_BE.poly128", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCode.va_quickCode", "Vale.AES.PPC64LE.GHash.va_code_ReduceLast" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_ReduceLast (va_mods: va_mods_t) (h_BE y_prev: quad32) (data: (seq quad32)) : (va_quickCode unit (va_code_ReduceLast ()))
[]
Vale.AES.PPC64LE.GHash.va_qcode_ReduceLast
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_ReduceLast ())
{ "end_col": 97, "end_line": 758, "start_col": 2, "start_line": 730 }
Prims.Tot
val va_quick_Ghash_buffer_loop_body (in_b: buffer128) (h_BE y_prev: quad32) (old_len: nat64) (index: nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
val va_quick_Ghash_buffer_loop_body (in_b: buffer128) (h_BE y_prev: quad32) (old_len: nat64) (index: nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) let va_quick_Ghash_buffer_loop_body (in_b: buffer128) (h_BE y_prev: quad32) (old_len: nat64) (index: nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
false
null
false
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([ va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7 ]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.nat64", "Prims.nat", "Vale.PPC64LE.QuickCode.va_QProc", "Prims.unit", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_loop_body", "Prims.Cons", "Vale.PPC64LE.QuickCode.mod_t", "Vale.PPC64LE.QuickCode.va_Mod_vec", "Vale.PPC64LE.QuickCode.va_Mod_reg", "Prims.Nil", "Vale.AES.PPC64LE.GHash.va_wp_Ghash_buffer_loop_body", "Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_buffer_loop_body", "Vale.PPC64LE.QuickCode.va_quickCode" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Ghash_buffer_loop_body (in_b: buffer128) (h_BE y_prev: quad32) (old_len: nat64) (index: nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ()))
[]
Vale.AES.PPC64LE.GHash.va_quick_Ghash_buffer_loop_body
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
in_b: Vale.PPC64LE.Memory.buffer128 -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> old_len: Vale.PPC64LE.Memory.nat64 -> index: Prims.nat -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_loop_body ())
{ "end_col": 71, "end_line": 1323, "start_col": 2, "start_line": 1320 }
Prims.Tot
val va_qcode_Ghash_buffer_body0 (va_mods: va_mods_t) (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index))))))
val va_qcode_Ghash_buffer_body0 (va_mods: va_mods_t) (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) let va_qcode_Ghash_buffer_body0 (va_mods: va_mods_t) (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let h:poly = va_in_h in let h_BE:quad32 = va_in_h_BE in let in_b:buffer128 = va_in_in_b in let y_prev:quad32 = va_in_y_prev in let index:nat = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s: va_state) _ -> let index:nat = index + 2 in va_QEmpty ((index))))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.QuickCode.va_mods_t", "Vale.PPC64LE.Decls.va_state", "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.PPC64LE.QuickCodes.qblock", "Prims.Cons", "Vale.PPC64LE.Decls.va_code", "Vale.AES.PPC64LE.GHash.va_code_Mod_cr0", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_loop_body", "Prims.Nil", "Vale.PPC64LE.Machine_s.precode", "Vale.PPC64LE.Decls.ins", "Vale.PPC64LE.Decls.ocmp", "Vale.PPC64LE.QuickCodes.va_QSeq", "Prims.unit", "Vale.PPC64LE.QuickCodes.va_range1", "Vale.AES.PPC64LE.GHash.va_quick_Mod_cr0", "Vale.PPC64LE.QuickCodes.va_QBind", "Vale.AES.PPC64LE.GHash.va_quick_Ghash_buffer_loop_body", "Vale.PPC64LE.Decls.va_get_reg", "Vale.PPC64LE.QuickCodes.va_QEmpty", "Prims.op_Addition", "Vale.PPC64LE.QuickCodes.quickCodes", "Vale.Def.Types_s.quad32", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCode.va_quickCode", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Ghash_buffer_body0 (va_mods: va_mods_t) (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ()))
[]
Vale.AES.PPC64LE.GHash.va_qcode_Ghash_buffer_body0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> va_old: Vale.PPC64LE.Decls.va_state -> va_in_h: Vale.Math.Poly2_s.poly -> va_in_h_BE: Vale.PPC64LE.Memory.quad32 -> va_in_in_b: Vale.PPC64LE.Memory.buffer128 -> va_in_y_prev: Vale.PPC64LE.Memory.quad32 -> va_in_index: Prims.nat -> Vale.PPC64LE.QuickCode.va_quickCode Prims.nat (Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0 ())
{ "end_col": 79, "end_line": 1408, "start_col": 2, "start_line": 1401 }
Prims.Tot
val va_quick_Mod_cr0: Prims.unit -> (va_quickCode unit (va_code_Mod_cr0 ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
val va_quick_Mod_cr0: Prims.unit -> (va_quickCode unit (va_code_Mod_cr0 ())) let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
false
null
false
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Prims.unit", "Vale.PPC64LE.QuickCode.va_QProc", "Vale.AES.PPC64LE.GHash.va_code_Mod_cr0", "Prims.Cons", "Vale.PPC64LE.QuickCode.mod_t", "Vale.PPC64LE.QuickCode.va_Mod_cr0", "Prims.Nil", "Vale.AES.PPC64LE.GHash.va_wp_Mod_cr0", "Vale.AES.PPC64LE.GHash.va_wpProof_Mod_cr0", "Vale.PPC64LE.QuickCode.va_quickCode" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr]
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Mod_cr0: Prims.unit -> (va_quickCode unit (va_code_Mod_cr0 ()))
[]
Vale.AES.PPC64LE.GHash.va_quick_Mod_cr0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_Mod_cr0 ())
{ "end_col": 81, "end_line": 1381, "start_col": 2, "start_line": 1381 }
Prims.Ghost
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Mod_cr0 va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Decls.va_state", "Prims.unit", "Vale.PPC64LE.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.PPC64LE.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.PPC64LE.QuickCode.mod_t", "Vale.PPC64LE.QuickCode.va_Mod_cr0", "Prims.Nil", "Prims._assert", "Vale.PPC64LE.Decls.va_state_eq", "Vale.PPC64LE.Decls.va_update_cr0", "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.GHash.va_lemma_Mod_cr0", "Vale.AES.PPC64LE.GHash.va_code_Mod_cr0" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g))))
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.AES.PPC64LE.GHash.va_wpProof_Mod_cr0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 1377, "start_col": 35, "start_line": 1371 }
Prims.Ghost
val va_wpProof_Ghash_register : hkeys_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_register hkeys_b h_BE y_prev va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_register ()) ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Ghash_register : hkeys_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_register hkeys_b h_BE y_prev va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_register ()) ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10 ]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Memory.quad32", "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.GHash.va_lemma_Ghash_register", "Vale.AES.PPC64LE.GHash.va_code_Ghash_register" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Ghash_register : hkeys_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_register hkeys_b h_BE y_prev va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_register ()) ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_register
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
hkeys_b: Vale.PPC64LE.Memory.buffer128 -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 1088, "start_col": 62, "start_line": 1076 }
Prims.Tot
val va_quick_Ghash_buffer_body0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ())) = (va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
val va_quick_Ghash_buffer_body0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ())) let va_quick_Ghash_buffer_body0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ())) =
false
null
false
(va_QProc (va_code_Ghash_buffer_body0 ()) ([ va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0 ]) (va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.Decls.va_state", "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.PPC64LE.QuickCode.va_QProc", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0", "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", "Vale.PPC64LE.QuickCode.va_Mod_cr0", "Prims.Nil", "Vale.AES.PPC64LE.GHash.va_wp_Ghash_buffer_body0", "Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_buffer_body0", "Vale.PPC64LE.QuickCode.va_quickCode" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Ghash_buffer_body0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ()))
[]
Vale.AES.PPC64LE.GHash.va_quick_Ghash_buffer_body0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_old: Vale.PPC64LE.Decls.va_state -> va_in_h: Vale.Math.Poly2_s.poly -> va_in_h_BE: Vale.PPC64LE.Memory.quad32 -> va_in_in_b: Vale.PPC64LE.Memory.buffer128 -> va_in_y_prev: Vale.PPC64LE.Memory.quad32 -> va_in_index: Prims.nat -> Vale.PPC64LE.QuickCode.va_quickCode Prims.nat (Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0 ())
{ "end_col": 52, "end_line": 1618, "start_col": 2, "start_line": 1614 }
Prims.Tot
val va_qcode_MulAdd_unroll_1way (va_mods: va_mods_t) (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (()))))))))))))))))))))
val va_qcode_MulAdd_unroll_1way (va_mods: va_mods_t) (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) let va_qcode_MulAdd_unroll_1way (va_mods: va_mods_t) (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let data_i:poly = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s: va_state) _ -> let va_arg44:Vale.Math.Poly2_s.poly = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s: va_state) _ -> let va_arg43:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s )) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let va_arg42:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s: va_state) _ -> let va_arg41:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.monomial 64 in let va_arg40:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1 ) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let va_arg39:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s: va_state) _ -> let va_arg38:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.monomial 64 in let va_arg37:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let va_arg36:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let va_arg35:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let va_arg34:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let va_arg33:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let va_arg32:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul ( Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let va_arg31:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in let va_arg30:Vale.Math.Poly2_s.poly = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))) ))))))))))))))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.QuickCode.va_mods_t", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.Math.Poly2_s.poly", "FStar.Seq.Base.seq", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer", "Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet", "Vale.PPC64LE.Decls.va_op_vec_opr_vec", "Vale.PPC64LE.Decls.va_op_reg_opr_reg", "Vale.Arch.HeapTypes_s.Secret", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyAdd", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulLow", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyMul", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulHigh", "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_Load128_byte16_buffer", "Vale.PPC64LE.QuickCodes.va_qPURE", "Prims.pure_post", "Prims.l_and", "Prims.l_True", "Prims.l_Forall", "Prims.l_imp", "Prims.eq2", "Vale.AES.GHash_BE.gf128_power", "Vale.AES.GF128.shift_key_1", "Vale.AES.GF128_s.gf128_modulus_low_terms", "Vale.AES.GHash_BE.g_power", "Vale.AES.GHash_BE.lemma_gf128_power", "Vale.AES.PPC64LE.PolyOps.va_quick_VPolyAdd", "Prims.b2t", "Prims.op_LessThan", "Vale.Math.Poly2_s.degree", "Vale.Math.Poly2_s.zero", "Vale.Math.Poly2.Lemmas.lemma_degree_negative", "Vale.Math.Poly2_s.shift", "Prims.op_Minus", "Vale.Math.Poly2_s.div", "Vale.Math.Poly2_s.monomial", "Vale.Math.Poly2.Lemmas.lemma_shift_is_div", "Vale.PPC64LE.QuickCodes.va_QSeq", "Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMulLow", "Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMul", "Prims.op_GreaterThanOrEqual", "Vale.Math.Poly2_s.mul", "Vale.Math.Poly2_s.mod", "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.swap", "Vale.AES.GHash_BE.lemma_swap128_mask_shift", "Vale.Math.Poly2_s.add", "Vale.AES.GF128.lemma_Mul128", "Vale.PPC64LE.QuickCodes.va_QEmpty", "Vale.PPC64LE.QuickCodes.quickCodes", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.Decls.va_get_vec", "Prims.int", "Vale.AES.GHash_BE.poly128", "Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCode.va_quickCode", "Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_MulAdd_unroll_1way (va_mods: va_mods_t) (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ()))
[]
Vale.AES.PPC64LE.GHash.va_qcode_MulAdd_unroll_1way
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> in_b: Vale.PPC64LE.Memory.buffer128 -> index: Prims.nat -> h: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way ())
{ "end_col": 27, "end_line": 125, "start_col": 2, "start_line": 63 }
Prims.Ghost
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) let va_lemma_Mod_cr0 va_b0 va_s0 =
false
null
false
let va_mods:va_mods_t = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Decls.va_state", "Vale.PPC64LE.QuickCodes.fuel", "Prims.unit", "FStar.Pervasives.Native.Mktuple2", "Vale.PPC64LE.Decls.va_fuel", "Vale.PPC64LE.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.PPC64LE.QuickCode.mod_t", "Vale.PPC64LE.QuickCode.va_Mod_cr0", "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.GHash.va_code_Mod_cr0", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm", "Vale.PPC64LE.QuickCodes.label", "Vale.PPC64LE.QuickCodes.va_range1", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Vale.PPC64LE.QuickCode.quickCode", "Vale.AES.PPC64LE.GHash.va_qcode_Mod_cr0" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[]
Vale.AES.PPC64LE.GHash.va_lemma_Mod_cr0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel)
{ "end_col": 16, "end_line": 1357, "start_col": 34, "start_line": 1348 }
Prims.Tot
val va_quick_Ghash_buffer_while0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode nat (va_code_Ghash_buffer_while0 ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_while0 ())) = (va_QProc (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
val va_quick_Ghash_buffer_while0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode nat (va_code_Ghash_buffer_while0 ())) let va_quick_Ghash_buffer_while0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode nat (va_code_Ghash_buffer_while0 ())) =
false
null
false
(va_QProc (va_code_Ghash_buffer_while0 ()) ([ va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0 ]) (va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.Decls.va_state", "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.PPC64LE.QuickCode.va_QProc", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_while0", "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", "Vale.PPC64LE.QuickCode.va_Mod_cr0", "Prims.Nil", "Vale.AES.PPC64LE.GHash.va_wp_Ghash_buffer_while0", "Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_buffer_while0", "Vale.PPC64LE.QuickCode.va_quickCode" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ())) = (va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer_while0 val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_while0 () = (va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons (va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ()))) val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_while0 () = (va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) = let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat) -> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7 va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16 `op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h == Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in va_QEmpty ((index))))) val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (~(va_get_reg 6 va_sM >= 2))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_while0 (va_code_Ghash_buffer_while0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Ghash_buffer_while0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode nat (va_code_Ghash_buffer_while0 ()))
[]
Vale.AES.PPC64LE.GHash.va_quick_Ghash_buffer_while0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_old: Vale.PPC64LE.Decls.va_state -> va_in_h: Vale.Math.Poly2_s.poly -> va_in_h_BE: Vale.PPC64LE.Memory.quad32 -> va_in_in_b: Vale.PPC64LE.Memory.buffer128 -> va_in_y_prev: Vale.PPC64LE.Memory.quad32 -> va_in_index: Prims.nat -> Vale.PPC64LE.QuickCode.va_quickCode Prims.nat (Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_while0 ())
{ "end_col": 52, "end_line": 1878, "start_col": 2, "start_line": 1874 }
Prims.Ghost
val va_wpProof_ReduceLast : h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_ReduceLast h_BE y_prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ReduceLast ()) ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g)
val va_wpProof_ReduceLast : h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_ReduceLast h_BE y_prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ReduceLast ()) ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast h_BE y_prev data va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Memory.quad32", "FStar.Seq.Base.seq", "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.GHash.va_lemma_ReduceLast", "Vale.AES.PPC64LE.GHash.va_code_ReduceLast" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM)
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_ReduceLast : h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_ReduceLast h_BE y_prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ReduceLast ()) ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.AES.PPC64LE.GHash.va_wpProof_ReduceLast
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 795, "start_col": 55, "start_line": 786 }
Prims.Ghost
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
false
null
false
let va_mods:va_mods_t = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128 ) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Decls.va_state", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.Math.Poly2_s.poly", "FStar.Seq.Base.seq", "Vale.PPC64LE.Memory.quad32", "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.GHash.va_code_MulAdd_unroll_1way", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm", "Prims.l_and", "Vale.PPC64LE.QuickCodes.label", "Vale.PPC64LE.QuickCodes.va_range1", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Vale.Math.Poly2_s.add", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.Decls.va_get_vec", "Vale.Math.Poly2_s.shift", "Vale.AES.GHash_BE.ghash_unroll_back", "Prims.int", "Vale.AES.GHash_BE.poly128", "Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128", "Vale.PPC64LE.QuickCode.quickCode", "Vale.AES.PPC64LE.GHash.va_qcode_MulAdd_unroll_1way" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))
[]
Vale.AES.PPC64LE.GHash.va_lemma_MulAdd_unroll_1way
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> in_b: Vale.PPC64LE.Memory.buffer128 -> index: Prims.nat -> h: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel)
{ "end_col": 16, "end_line": 167, "start_col": 68, "start_line": 151 }
Prims.Tot
val va_qcode_Ghash_buffer_while0 (va_mods: va_mods_t) (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode (nat) (va_code_Ghash_buffer_while0 ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) = let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat) -> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7 va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16 `op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h == Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in va_QEmpty ((index)))))
val va_qcode_Ghash_buffer_while0 (va_mods: va_mods_t) (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) let va_qcode_Ghash_buffer_while0 (va_mods: va_mods_t) (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let h:poly = va_in_h in let h_BE:quad32 = va_in_h_BE in let in_b:buffer128 = va_in_in_b in let y_prev:quad32 = va_in_y_prev in let index:nat = va_in_index in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let index:nat = let index = va_g in index in qblock va_mods (fun (va_s: va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s: va_state) (index: nat) -> va_QEmpty ((index))))) (fun (va_s: va_state) va_g -> let index:nat = let index = va_g in index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7 va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16 `op_Multiply` (va_get_reg 6 va_s) < pow2_64 /\ va_get_vec 1 va_s == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h == Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s: va_state) va_g -> let index:nat = let index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s: va_state) va_g -> let index:nat = let index = va_g in index in let va_g = (index) in let index:nat = va_g in va_QEmpty ((index)))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.QuickCode.va_mods_t", "Vale.PPC64LE.Decls.va_state", "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.PPC64LE.QuickCodes.qblock", "Prims.Cons", "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Machine_s.While", "Vale.PPC64LE.Decls.ins", "Vale.PPC64LE.Decls.ocmp", "Vale.PPC64LE.QuickCodes.cmp_to_ocmp", "Vale.PPC64LE.QuickCodes.Cmp_ge", "Vale.PPC64LE.Decls.va_op_cmp_reg", "Vale.PPC64LE.Decls.va_const_cmp", "Vale.PPC64LE.QuickCodes.block", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0", "Prims.Nil", "Vale.PPC64LE.Machine_s.precode", "Vale.PPC64LE.QuickCodes.va_QBind", "Vale.PPC64LE.QuickCodes.va_range1", "Vale.PPC64LE.QuickCodes.va_qWhile", "Vale.PPC64LE.Machine_s.nat64", "Vale.AES.PPC64LE.GHash.va_quick_Ghash_buffer_body0", "Vale.PPC64LE.QuickCodes.va_QEmpty", "Vale.PPC64LE.QuickCodes.quickCodes", "Vale.PPC64LE.QuickCode.quickCode", "Prims.l_and", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Prims.eq2", "Prims.int", "Prims.op_Addition", "Vale.PPC64LE.Decls.va_get_reg", "Prims.op_Multiply", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.Decls.va_get_vec", "Vale.Math.Poly2.swap", "Vale.AES.GHash_BE.gf128_power", "Vale.Math.Poly2_s.mul", "Vale.Math.Poly2_s.div", "Vale.Math.Poly2_s.monomial", "Vale.Math.Poly2_s.mod", "Vale.PPC64LE.Decls.validSrcAddrsOffset128", "Vale.PPC64LE.Decls.va_get_mem_heaplet", "Vale.PPC64LE.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.Decls.buffer_length", "Vale.PPC64LE.Memory.vuint128", "Prims.op_LessThan", "Vale.PPC64LE.Machine_s.pow2_64", "Vale.Def.Types_s.quad32", "Vale.AES.GHash_BE.ghash_incremental0", "FStar.Seq.Base.slice", "Vale.Arch.Types.reverse_bytes_quad32_seq", "Vale.PPC64LE.Decls.s128", "Prims.l_imp", "Vale.PPC64LE.Machine_s.quad32", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCode.va_quickCode", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_while0" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ())) = (va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer_while0 val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_while0 () = (va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons (va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ()))) val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_while0 () = (va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Ghash_buffer_while0 (va_mods: va_mods_t) (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) : (va_quickCode (nat) (va_code_Ghash_buffer_while0 ()))
[]
Vale.AES.PPC64LE.GHash.va_qcode_Ghash_buffer_while0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> va_old: Vale.PPC64LE.Decls.va_state -> va_in_h: Vale.Math.Poly2_s.poly -> va_in_h_BE: Vale.PPC64LE.Memory.quad32 -> va_in_in_b: Vale.PPC64LE.Memory.buffer128 -> va_in_y_prev: Vale.PPC64LE.Memory.quad32 -> va_in_index: Prims.nat -> Vale.PPC64LE.QuickCode.va_quickCode Prims.nat (Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_while0 ())
{ "end_col": 26, "end_line": 1669, "start_col": 2, "start_line": 1637 }
Prims.Tot
val va_qcode_Reduce (va_mods: va_mods_t) (f: poly) : (va_quickCode unit (va_code_Reduce ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (()))))))))))))))))))))))
val va_qcode_Reduce (va_mods: va_mods_t) (f: poly) : (va_quickCode unit (va_code_Reduce ())) let va_qcode_Reduce (va_mods: va_mods_t) (f: poly) : (va_quickCode unit (va_code_Reduce ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let g:Vale.Math.Poly2_s.poly = add (Vale.Math.Poly2_s.monomial 128) f in let c:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (- 1)) 63 in let a0:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let a1:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let a2:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let a:Vale.Math.Poly2_s.poly = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s: va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let va_arg39:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s: va_state) _ -> let va_arg38:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s: va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s: va_state) _ -> let va_arg37:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.shift a1 (- 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4 ) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s: va_state) _ -> let va_arg36:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2 )) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit ) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64 ) (va_QEmpty (() )) )))))))))))) ))))))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.QuickCode.va_mods_t", "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.InsVector.va_code_Vspltisw", "Vale.PPC64LE.Decls.va_op_vec_opr_vec", "Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyAdd", "Vale.AES.PPC64LE.PolyOps.va_code_VSwap", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulLow", "Vale.AES.PPC64LE.GF128_Mul.va_code_High64ToLow", "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_Vspltisw", "Vale.PPC64LE.QuickCodes.va_qPURE", "Prims.pure_post", "Prims.l_and", "Prims.l_True", "Prims.l_Forall", "Prims.l_imp", "Prims.eq2", "Vale.Math.Poly2.mask", "Vale.Math.Poly2_s.mod", "Vale.Math.Poly2_s.monomial", "Vale.Math.Poly2.Lemmas.lemma_mask_is_mod", "Vale.Math.Poly2_s.shift", "Vale.Math.Poly2_s.mul", "Vale.Math.Poly2.lemma_shift_is_mul", "Vale.AES.PPC64LE.GF128_Mul.va_quick_Low64ToHigh", "Prims.b2t", "Prims.op_LessThan", "Vale.Math.Poly2_s.degree", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.Math.Poly2.Bits_s.to_quad32", "Vale.Math.Poly2.Bits.lemma_of_to_quad32", "Vale.PPC64LE.QuickCodes.va_QSeq", "Vale.AES.PPC64LE.PolyOps.va_quick_VPolyAdd", "Vale.AES.PPC64LE.PolyOps.va_quick_VSwap", "Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMulLow", "Prims.op_Minus", "Vale.Math.Poly2_s.div", "Vale.Math.Poly2.Lemmas.lemma_shift_is_div", "Vale.AES.PPC64LE.GF128_Mul.va_quick_High64ToLow", "Vale.Math.Poly2_s.add", "Vale.Math.Poly2.lemma_add_commute", "Prims.int", "Prims.op_Addition", "Vale.Math.Poly2_s.poly_index", "Vale.Math.Poly2_s.reverse", "Prims.op_Subtraction", "Vale.Math.Poly2.swap", "Vale.AES.GF128.lemma_reduce_rev", "Vale.PPC64LE.QuickCodes.va_QEmpty", "Vale.PPC64LE.QuickCodes.quickCodes", "Vale.PPC64LE.Decls.va_get_vec", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCode.va_quickCode", "Vale.AES.PPC64LE.GHash.va_code_Reduce" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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]
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Reduce (va_mods: va_mods_t) (f: poly) : (va_quickCode unit (va_code_Reduce ()))
[]
Vale.AES.PPC64LE.GHash.va_qcode_Reduce
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> f: Vale.Math.Poly2_s.poly -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_Reduce ())
{ "end_col": 29, "end_line": 615, "start_col": 2, "start_line": 556 }
Prims.Ghost
val va_wpProof_Ghash_buffer : hkeys_b:buffer128 -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer hkeys_b in_b h_BE y_prev va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer ()) ([va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Ghash_buffer hkeys_b in_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer (va_code_Ghash_buffer ()) va_s0 hkeys_b in_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_vec 14 va_sM (va_update_vec 13 va_sM (va_update_vec 12 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Ghash_buffer : hkeys_b:buffer128 -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer hkeys_b in_b h_BE y_prev va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer ()) ([va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Ghash_buffer hkeys_b in_b h_BE y_prev va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Ghash_buffer (va_code_Ghash_buffer ()) va_s0 hkeys_b in_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_vec 14 va_sM (va_update_vec 13 va_sM (va_update_vec 12 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))) )))))))))))); va_lemma_norm_mods ([ va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_reg 6; va_Mod_reg 7 ]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Memory.quad32", "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_cr0", "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_cr0", "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.GHash.va_lemma_Ghash_buffer", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ())) = (va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer_while0 val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_while0 () = (va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons (va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ()))) val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_while0 () = (va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) = let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat) -> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7 va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16 `op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h == Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in va_QEmpty ((index))))) val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (~(va_get_reg 6 va_sM >= 2))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_while0 (va_code_Ghash_buffer_while0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_while0 ())) = (va_QProc (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_CCons (va_code_Ghash_buffer_while0 ()) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg 6) (va_const_cmp 0)) (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n false) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))))) (va_Block (va_CNil ()))) (va_CNil ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_Ghash_buffer_while0 ()) (va_pbool_and (va_codegen_success_GhashUnroll_n false) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer (va_mods:va_mods_t) (hkeys_b:buffer128) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_buffer ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 548 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 549 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 550 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret hkeys_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 551 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 553 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 554 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg61) (let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 555 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg60) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 556 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg59) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 557 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 558 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 559 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg58) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 560 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg57) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 562 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 563 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg56) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 564 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg55) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 565 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 566 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 567 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64)) (fun (va_s:va_state) _ -> let (va_arg53:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 568 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg53) (let (va_arg52:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 569 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg52) (let (index:nat) = 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 572 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_while0 va_old_s h h_BE in_b y_prev index) (fun (va_s:va_state) index -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 600 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qIf va_mods (Cmp_gt (va_op_cmp_reg 6) (va_const_cmp 0)) (qblock va_mods (fun (va_s:va_state) -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 601 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (va_get_reg 6 va_old_s)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (va_get_reg 6 va_old_s) in let (y_loop:quad32) = va_get_vec 1 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 604 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n false in_b index h_BE y_loop data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 605 column 40 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg51:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg50:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg49:Vale.Def.Types_s.quad32) = y_loop in let (va_arg48:Vale.Def.Types_s.quad32) = y_prev in let (va_arg47:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 605 column 40 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 607 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 607 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b))) (va_QEmpty (()))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (()))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer va_b0 va_s0 hkeys_b in_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer va_mods hkeys_b in_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in label va_range1 "***** POSTCONDITION NOT MET AT line 545 column 92 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b))) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 546 column 40 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_s0 == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Ghash_buffer : hkeys_b:buffer128 -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer hkeys_b in_b h_BE y_prev va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer ()) ([va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_buffer
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
hkeys_b: Vale.PPC64LE.Memory.buffer128 -> in_b: Vale.PPC64LE.Memory.buffer128 -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 2073, "start_col": 65, "start_line": 2058 }
Prims.Ghost
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)) )))))))))))); va_lemma_norm_mods ([ va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7 ]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.nat64", "Prims.nat", "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.GHash.va_lemma_Ghash_buffer_loop_body", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_loop_body" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g))))
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_buffer_loop_body
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
in_b: Vale.PPC64LE.Memory.buffer128 -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> old_len: Vale.PPC64LE.Memory.nat64 -> index: Prims.nat -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 1315, "start_col": 81, "start_line": 1303 }
Prims.Ghost
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) let va_lemma_Reduce va_b0 va_s0 f =
false
null
false
let va_mods:va_mods_t = [ va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok ] in let va_qc = va_qcode_Reduce va_mods f in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let g:Vale.Math.Poly2_s.poly = add (Vale.Math.Poly2_s.monomial 128) f in let c:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (- 1)) 63 in let a0:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let a1:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let a2:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let a:Vale.Math.Poly2_s.poly = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok ]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Decls.va_state", "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.QuickCodes.fuel", "Prims.unit", "FStar.Pervasives.Native.Mktuple2", "Vale.PPC64LE.Decls.va_fuel", "Vale.PPC64LE.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.PPC64LE.QuickCode.mod_t", "Vale.PPC64LE.QuickCode.va_Mod_vec", "Vale.PPC64LE.QuickCode.va_Mod_ok", "Prims.Nil", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.list", "Vale.PPC64LE.QuickCode.__proj__QProc__item__mods", "Vale.AES.PPC64LE.GHash.va_code_Reduce", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm", "Prims.l_and", "Vale.PPC64LE.QuickCodes.label", "Vale.PPC64LE.QuickCodes.va_range1", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.Decls.va_get_vec", "Vale.Math.Poly2_s.reverse", "Vale.Math.Poly2_s.mod", "Vale.Math.Poly2_s.add", "Vale.Math.Poly2_s.shift", "Prims.op_Minus", "Vale.Math.Poly2_s.monomial", "Vale.PPC64LE.QuickCode.quickCode", "Vale.AES.PPC64LE.GHash.va_qcode_Reduce" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))))
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))))
[]
Vale.AES.PPC64LE.GHash.va_lemma_Reduce
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> f: Vale.Math.Poly2_s.poly -> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel)
{ "end_col": 16, "end_line": 664, "start_col": 35, "start_line": 644 }
Prims.Ghost
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))))) let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
false
null
false
let va_mods:va_mods_t = [ va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok ] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128 ) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok ]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Decls.va_state", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.Math.Poly2_s.poly", "FStar.Seq.Base.seq", "Vale.PPC64LE.Memory.quad32", "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.GHash.va_code_MulAdd_unroll_2way", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm", "Prims.l_and", "Vale.PPC64LE.QuickCodes.label", "Vale.PPC64LE.QuickCodes.va_range1", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Vale.Math.Poly2_s.add", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.Decls.va_get_vec", "Vale.Math.Poly2_s.shift", "Vale.AES.GHash_BE.ghash_unroll_back", "Prims.int", "Vale.AES.GHash_BE.poly128", "Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128", "Vale.PPC64LE.QuickCode.quickCode", "Vale.AES.PPC64LE.GHash.va_qcode_MulAdd_unroll_2way" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[]
Vale.AES.PPC64LE.GHash.va_lemma_MulAdd_unroll_2way
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> in_b: Vale.PPC64LE.Memory.buffer128 -> index: Prims.nat -> h: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel)
{ "end_col": 16, "end_line": 457, "start_col": 68, "start_line": 440 }
Prims.Ghost
val va_lemma_GhashUnroll_n : va_b0:va_code -> va_s0:va_state -> exactly2:bool -> in_b:buffer128 -> index:nat -> h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_GhashUnroll_n exactly2) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in (exactly2 ==> n == 2) /\ (~exactly2 ==> n == 1) /\ in_b_blocks in_b index n (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ (exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64) /\ (exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ (exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_GhashUnroll_n : va_b0:va_code -> va_s0:va_state -> exactly2:bool -> in_b:buffer128 -> index:nat -> h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_GhashUnroll_n exactly2) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in (exactly2 ==> n == 2) /\ (~exactly2 ==> n == 1) /\ in_b_blocks in_b index n (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ (exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64) /\ (exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ (exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
false
null
false
let va_mods:va_mods_t = [ va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let n:Prims.nat = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok ]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Decls.va_state", "Prims.bool", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.PPC64LE.Memory.quad32", "FStar.Seq.Base.seq", "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.GHash.va_code_GhashUnroll_n", "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.AES.GHash_BE.ghash_incremental", "FStar.Seq.Base.length", "Prims.int", "Vale.AES.GHash_BE.poly128", "Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128", "Vale.Math.Poly2_s.poly", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.QuickCode.quickCode", "Vale.AES.PPC64LE.GHash.va_qcode_GhashUnroll_n" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_GhashUnroll_n : va_b0:va_code -> va_s0:va_state -> exactly2:bool -> in_b:buffer128 -> index:nat -> h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_GhashUnroll_n exactly2) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in (exactly2 ==> n == 2) /\ (~exactly2 ==> n == 1) /\ in_b_blocks in_b index n (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ (exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64) /\ (exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ (exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))))))
[]
Vale.AES.PPC64LE.GHash.va_lemma_GhashUnroll_n
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> exactly2: Prims.bool -> in_b: Vale.PPC64LE.Memory.buffer128 -> index: Prims.nat -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel)
{ "end_col": 16, "end_line": 873, "start_col": 77, "start_line": 857 }
Prims.Ghost
val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g)
val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k =
false
null
false
let va_sM, va_f0, index = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([ va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0 ]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Decls.va_state", "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.PPC64LE.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "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", "Vale.PPC64LE.QuickCode.va_Mod_cr0", "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_cr0", "Vale.PPC64LE.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "Vale.PPC64LE.Machine_s.state", "Vale.AES.PPC64LE.GHash.va_lemma_Ghash_buffer_body0", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"]
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_buffer_body0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_old: Vale.PPC64LE.Decls.va_state -> va_in_h: Vale.Math.Poly2_s.poly -> va_in_h_BE: Vale.PPC64LE.Memory.quad32 -> va_in_in_b: Vale.PPC64LE.Memory.buffer128 -> va_in_y_prev: Vale.PPC64LE.Memory.quad32 -> va_in_index: Prims.nat -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.nat -> Type0) -> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.nat)
{ "end_col": 22, "end_line": 1608, "start_col": 14, "start_line": 1596 }
Prims.Tot
val va_qcode_Ghash_buffer (va_mods: va_mods_t) (hkeys_b in_b: buffer128) (h_BE y_prev: quad32) : (va_quickCode unit (va_code_Ghash_buffer ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Ghash_buffer (va_mods:va_mods_t) (hkeys_b:buffer128) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_buffer ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 548 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 549 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 550 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret hkeys_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 551 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 553 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 554 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg61) (let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 555 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg60) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 556 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg59) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 557 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 558 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 559 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg58) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 560 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg57) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 562 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 563 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg56) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 564 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg55) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 565 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 566 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 567 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64)) (fun (va_s:va_state) _ -> let (va_arg53:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 568 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg53) (let (va_arg52:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 569 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg52) (let (index:nat) = 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 572 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_while0 va_old_s h h_BE in_b y_prev index) (fun (va_s:va_state) index -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 600 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qIf va_mods (Cmp_gt (va_op_cmp_reg 6) (va_const_cmp 0)) (qblock va_mods (fun (va_s:va_state) -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 601 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (va_get_reg 6 va_old_s)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (va_get_reg 6 va_old_s) in let (y_loop:quad32) = va_get_vec 1 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 604 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n false in_b index h_BE y_loop data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 605 column 40 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg51:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg50:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg49:Vale.Def.Types_s.quad32) = y_loop in let (va_arg48:Vale.Def.Types_s.quad32) = y_prev in let (va_arg47:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 605 column 40 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 607 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 607 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b))) (va_QEmpty (()))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))))))))))))))))))))))
val va_qcode_Ghash_buffer (va_mods: va_mods_t) (hkeys_b in_b: buffer128) (h_BE y_prev: quad32) : (va_quickCode unit (va_code_Ghash_buffer ())) let va_qcode_Ghash_buffer (va_mods: va_mods_t) (hkeys_b in_b: buffer128) (h_BE y_prev: quad32) : (va_quickCode unit (va_code_Ghash_buffer ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let h:poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 548 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 549 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 550 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret hkeys_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 551 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 553 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s: va_state) _ -> let va_arg61:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 554 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg61) (let va_arg60:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 555 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg60) (let va_arg59:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 556 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg59) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 557 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 558 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s: va_state) _ -> let va_arg58:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 559 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg58 ) (let va_arg57:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 560 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg57) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 562 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (fun (va_s: va_state) _ -> let va_arg56:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 563 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg56) (let va_arg55:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 564 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg55) (let va_arg54:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 565 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 566 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 567 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64)) (fun (va_s: va_state) _ -> let va_arg53:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 568 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit ) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg53 ) (let va_arg52:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div ( Vale.AES.GHash_BE.gf128_power h 2 ) ( Vale.Math.Poly2_s.monomial 64 ) ) (Vale.Math.Poly2_s.monomial 64 ) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 569 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit ) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg52 ) (let index:nat = 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 572 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_while0 va_old_s h h_BE in_b y_prev index ) (fun ( va_s: va_state ) index -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 600 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_qIf va_mods ( Cmp_gt ( va_op_cmp_reg 6 ) ( va_const_cmp 0 ) ) ( qblock va_mods ( fun ( va_s: va_state ) -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 601 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( ( fun a_1582 ( s_1583: ( FStar.Seq.Base.seq a_1582 ) ) ( i_1584: Prims.nat ) ( j_1585: Prims.nat ) -> let j_1545:Prims.nat = j_1585 in Prims.b2t ( Prims.op_AmpAmp ( Prims.op_LessThanOrEqual i_1584 j_1545 ) ( Prims.op_LessThanOrEqual j_1545 ( FStar.Seq.Base.length #a_1582 s_1583 ) ) ) ) Vale.Def.Types_s.quad32 ( Vale.Arch.Types.reverse_bytes_quad32_seq ( Vale.PPC64LE.Decls.s128 ( va_get_mem_heaplet 1 va_s ) in_b ) ) index ( va_get_reg 6 va_old_s ) ) ( fun _ -> let data:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 ( Vale.Arch.Types.reverse_bytes_quad32_seq ( Vale.PPC64LE.Decls.s128 ( va_get_mem_heaplet 1 va_s ) in_b ) ) index ( va_get_reg 6 va_old_s ) in let y_loop:quad32 = va_get_vec 1 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 604 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_quick_GhashUnroll_n false in_b index h_BE y_loop data ) ( fun ( va_s: va_state ) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 605 column 40 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( ( fun a_1582 ( s_1583: ( FStar.Seq.Base.seq a_1582 ) ) ( i_1584: Prims.nat ) ( j_1585: Prims.nat ) -> let j_1545:Prims.nat = j_1585 in Prims.b2t ( Prims.op_AmpAmp ( Prims.op_LessThanOrEqual i_1584 j_1545 ) ( Prims.op_LessThanOrEqual j_1545 ( FStar.Seq.Base.length #a_1582 s_1583 ) ) ) ) Vale.Def.Types_s.quad32 ( Vale.Arch.Types.reverse_bytes_quad32_seq ( Vale.PPC64LE.Decls.s128 ( va_get_mem_heaplet 1 va_s ) in_b ) ) 0 index ) ( fun _ -> let va_arg51:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 ( Vale.Arch.Types.reverse_bytes_quad32_seq ( Vale.PPC64LE.Decls.s128 ( va_get_mem_heaplet 1 va_s ) in_b ) ) 0 index in let va_arg50:Vale.Def.Types_s.quad32 = va_get_vec 1 va_s in let va_arg49:Vale.Def.Types_s.quad32 = y_loop in let va_arg48:Vale.Def.Types_s.quad32 = y_prev in let va_arg47:Vale.Def.Types_s.quad32 = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 605 column 40 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 data ) ( va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 607 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( ( fun a_1582 ( s_1583: ( FStar.Seq.Base.seq a_1582 ) ) ( i_1584: Prims.nat ) ( j_1585: Prims.nat ) -> let j_1545:Prims.nat = j_1585 in Prims.b2t ( Prims.op_AmpAmp ( Prims.op_LessThanOrEqual i_1584 j_1545 ) ( Prims.op_LessThanOrEqual j_1545 ( FStar.Seq.Base.length #a_1582 s_1583 ) ) ) ) Vale.Def.Types_s.quad32 ( Vale.Arch.Types.reverse_bytes_quad32_seq ( Vale.PPC64LE.Decls.s128 ( va_get_mem_heaplet 1 va_s ) in_b ) ) 0 index ) ( fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 607 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 ( FStar.Seq.Base.append #Vale.Def.Types_s.quad32 ( FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 ( Vale.Arch.Types.reverse_bytes_quad32_seq ( Vale.PPC64LE.Decls.s128 ( va_get_mem_heaplet 1 va_s ) in_b ) ) 0 index ) data ) ( Vale.Arch.Types.reverse_bytes_quad32_seq ( Vale.PPC64LE.Decls.s128 ( va_get_mem_heaplet 1 va_s ) in_b ) ) ) ( va_QEmpty ( () ) ) ) ) ) ) ) ) ) ( qblock va_mods ( fun ( va_s: va_state ) -> va_QEmpty ( () ) ) ) ) ( fun ( va_s: va_state ) va_g -> va_QEmpty ( () ) ) )) )))))))))) )))))))))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.QuickCode.va_mods_t", "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.InsBasic.va_code_LoadImm64", "Vale.PPC64LE.Decls.va_op_reg_opr_reg", "Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer", "Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet", "Vale.PPC64LE.Decls.va_op_vec_opr_vec", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer_index", "Vale.PPC64LE.InsVector.va_code_Vspltisw", "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.GHash.va_code_Ghash_buffer_while0", "Vale.PPC64LE.Machine_s.IfElse", "Vale.PPC64LE.Decls.ins", "Vale.PPC64LE.Decls.ocmp", "Vale.PPC64LE.QuickCodes.cmp_to_ocmp", "Vale.PPC64LE.QuickCodes.Cmp_gt", "Vale.PPC64LE.Decls.va_op_cmp_reg", "Vale.PPC64LE.Decls.va_const_cmp", "Vale.PPC64LE.QuickCodes.block", "Vale.PPC64LE.Machine_s.Block", "Prims.Nil", "Vale.PPC64LE.Machine_s.precode", "Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n", "Vale.PPC64LE.Decls.va_state", "Vale.PPC64LE.QuickCodes.va_QSeq", "Vale.PPC64LE.QuickCodes.va_range1", "Vale.PPC64LE.InsBasic.va_quick_LoadImm64", "Vale.PPC64LE.InsVector.va_quick_Load128_byte16_buffer", "Vale.PPC64LE.InsVector.va_quick_Load128_byte16_buffer_index", "Vale.PPC64LE.InsVector.va_quick_Vspltisw", "Vale.PPC64LE.QuickCodes.va_QBind", "Vale.AES.PPC64LE.PolyOps.va_quick_VSwap", "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_s.poly", "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.Math.Poly2.Bits.lemma_quad32_double", "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.GHash_BE.gf128_power", "Vale.AES.PPC64LE.GF128_Mul.va_quick_Low64ToHigh", "Prims.op_LessThan", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.Math.Poly2.Bits.lemma_of_to_quad32", "Prims.nat", "Vale.AES.PPC64LE.GHash.va_quick_Ghash_buffer_while0", "Vale.PPC64LE.QuickCodes.va_qIf", "Vale.PPC64LE.QuickCodes.va_qAssertSquash", "Prims.op_AmpAmp", "FStar.Seq.Base.length", "Vale.Def.Types_s.quad32", "Vale.Arch.Types.reverse_bytes_quad32_seq", "Vale.PPC64LE.Decls.s128", "Vale.PPC64LE.Decls.va_get_mem_heaplet", "Vale.PPC64LE.Decls.va_get_reg", "Prims.squash", "Vale.AES.PPC64LE.GHash.va_quick_GhashUnroll_n", "Prims.op_Equality", "Vale.AES.GHash_BE.ghash_incremental0", "FStar.Seq.Base.op_At_Bar", "Vale.AES.GHash_BE.lemma_ghash_incremental0_append", "Vale.PPC64LE.QuickCodes.va_qAssert", "FStar.Seq.Base.equal", "FStar.Seq.Base.append", "FStar.Seq.Base.slice", "Vale.PPC64LE.QuickCodes.va_QEmpty", "Vale.PPC64LE.QuickCodes.quickCodes", "Vale.PPC64LE.Decls.va_get_vec", "FStar.Seq.Base.seq", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCode.va_quickCode", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ())) = (va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer_while0 val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_while0 () = (va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons (va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ()))) val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_while0 () = (va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) = let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat) -> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7 va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16 `op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h == Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in va_QEmpty ((index))))) val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (~(va_get_reg 6 va_sM >= 2))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_while0 (va_code_Ghash_buffer_while0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_while0 ())) = (va_QProc (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_CCons (va_code_Ghash_buffer_while0 ()) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg 6) (va_const_cmp 0)) (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n false) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))))) (va_Block (va_CNil ()))) (va_CNil ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_Ghash_buffer_while0 ()) (va_pbool_and (va_codegen_success_GhashUnroll_n false) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer (va_mods:va_mods_t) (hkeys_b:buffer128) (in_b:buffer128) (h_BE:quad32)
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Ghash_buffer (va_mods: va_mods_t) (hkeys_b in_b: buffer128) (h_BE y_prev: quad32) : (va_quickCode unit (va_code_Ghash_buffer ()))
[]
Vale.AES.PPC64LE.GHash.va_qcode_Ghash_buffer
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> hkeys_b: Vale.PPC64LE.Memory.buffer128 -> in_b: Vale.PPC64LE.Memory.buffer128 -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer ())
{ "end_col": 66, "end_line": 2030, "start_col": 2, "start_line": 1918 }
Prims.Tot
val va_qcode_MulAdd_unroll_2way (va_mods: va_mods_t) (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_qcode_MulAdd_unroll_2way (va_mods: va_mods_t) (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) let va_qcode_MulAdd_unroll_2way (va_mods: va_mods_t) (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let data_0:poly = pdata 0 in let data_1:poly = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s: va_state) _ -> let va_arg95:Vale.Math.Poly2_s.poly = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let va_arg94:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let va_arg93:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s: va_state) _ -> let va_arg92:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.monomial 64 in let va_arg91:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let va_arg90:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s: va_state) _ -> let va_arg89:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.monomial 64 in let va_arg88:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let va_arg87:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let va_arg86:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64 ) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let va_arg85:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let va_arg84:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let va_arg83:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let va_arg82:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in let va_arg81:Vale.Math.Poly2_s.poly = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 ( va_get_vec 2 va_s ) ) (Vale.Math.Poly2_s.shift ( Vale.Math.Poly2.Bits_s.of_quad32 ( va_get_vec 3 va_s ) ) 64 )) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 ( va_get_vec 4 va_s ) ) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let va_arg80:Vale.Math.Poly2_s.poly = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit ) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd ( va_op_vec_opr_vec 0 ) ( va_op_vec_opr_vec 1 ) ( va_op_vec_opr_vec 0 ) ) (fun ( va_s: va_state ) _ -> let va_arg79:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.div ( Vale.Math.Poly2.Bits_s.of_quad32 ( va_get_vec 14 va_s ) ) ( Vale.Math.Poly2_s.monomial 64 ) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79 ) ( let va_arg78:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 ( va_get_vec 14 va_s ) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64 ) ( va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_quick_VPolyMulLow ( va_op_vec_opr_vec 9 ) ( va_op_vec_opr_vec 0 ) ( va_op_vec_opr_vec 14 ) ) ( va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_quick_VPolyMul ( va_op_vec_opr_vec 10 ) ( va_op_vec_opr_vec 0 ) ( va_op_vec_opr_vec 12 ) ) ( fun ( va_s: va_state ) _ -> let va_arg77:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.monomial 64 in let va_arg76:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.div ( Vale.AES.GHash_BE.gf128_power h 2 ) ( Vale.Math.Poly2_s.monomial 64 ) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77 ) ( let va_arg75:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 ( va_get_vec 13 va_s ) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64 ) ( va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_quick_VPolyMulHigh ( va_op_vec_opr_vec 11 ) ( va_op_vec_opr_vec 0 ) ( va_op_vec_opr_vec 13 ) ) ( fun ( va_s: va_state ) _ -> let va_arg74:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.monomial 64 in let va_arg73:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74 ) ( let va_arg72:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64 ) ( let va_arg71:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mod ( Vale.AES.GHash_BE.gf128_power h 2 ) ( Vale.Math.Poly2_s.monomial 64 ) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64 ) ( let va_arg70:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70 ) ( let va_arg69:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64 ) ( let va_arg68:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul ( Vale.Math.Poly2_s.div ( Vale.AES.GHash_BE.gf128_power h 2 ) ( Vale.Math.Poly2_s.monomial 64 ) ) ( Vale.Math.Poly2_s.monomial 64 ) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64 ) ( let va_arg67:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul ( Vale.Math.Poly2_s.shift ( add prev data_0 ) ( - 64 ) ) ( Vale.Math.Poly2.mask ( Vale.AES.GHash_BE.gf128_power h 2 ) 64 ) in let va_arg66:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul ( Vale.Math.Poly2.mask ( add prev data_0 ) 64 ) ( Vale.Math.Poly2_s.shift ( Vale.AES.GHash_BE.gf128_power h 2 ) ( - 64 ) ) in let va_arg65:Vale.Math.Poly2_s.poly = of_quad32 ( va_get_vec 3 va_s ) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67 ) ( let va_arg64:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 2 in let va_arg63:Vale.Math.Poly2_s.poly = add prev data_0 in let va_arg62:Vale.Math.Poly2_s.poly = of_quad32 ( va_get_vec 4 va_s ) in let va_arg61:Vale.Math.Poly2_s.poly = of_quad32 ( va_get_vec 3 va_s ) in let va_arg60:Vale.Math.Poly2_s.poly = of_quad32 ( va_get_vec 2 va_s ) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64 ) ( va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_quick_VPolyAdd ( va_op_vec_opr_vec 2 ) ( va_op_vec_opr_vec 2 ) ( va_op_vec_opr_vec 9 ) ) ( va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_quick_VPolyAdd ( va_op_vec_opr_vec 3 ) ( va_op_vec_opr_vec 3 ) ( va_op_vec_opr_vec 10 ) ) ( va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_quick_VPolyAdd ( va_op_vec_opr_vec 4 ) ( va_op_vec_opr_vec 4 ) ( va_op_vec_opr_vec 11 ) ) ( va_QEmpty ( () ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )))) )))))))))))))))))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.QuickCode.va_mods_t", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.Math.Poly2_s.poly", "FStar.Seq.Base.seq", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.InsBasic.va_code_LoadImm64", "Vale.PPC64LE.Decls.va_op_reg_opr_reg", "Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer", "Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet", "Vale.PPC64LE.Decls.va_op_vec_opr_vec", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer_index", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulLow", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyMul", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulHigh", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyAdd", "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.InsBasic.va_quick_LoadImm64", "Vale.PPC64LE.InsVector.va_quick_Load128_byte16_buffer", "Vale.PPC64LE.QuickCodes.va_QBind", "Vale.PPC64LE.InsVector.va_quick_Load128_byte16_buffer_index", "Prims.op_Addition", "Vale.PPC64LE.QuickCodes.va_qPURE", "Prims.pure_post", "Prims.l_and", "Prims.l_True", "Prims.l_Forall", "Prims.l_imp", "Prims.eq2", "Vale.AES.GHash_BE.gf128_power", "Vale.AES.GF128.shift_key_1", "Vale.AES.GF128_s.gf128_modulus_low_terms", "Vale.AES.GHash_BE.g_power", "Vale.AES.GHash_BE.lemma_gf128_power", "Prims.b2t", "Prims.op_LessThan", "Vale.Math.Poly2_s.degree", "Vale.Math.Poly2_s.zero", "Vale.Math.Poly2.Lemmas.lemma_degree_negative", "Vale.Math.Poly2_s.shift", "Prims.op_Minus", "Vale.Math.Poly2_s.div", "Vale.Math.Poly2_s.monomial", "Vale.Math.Poly2.Lemmas.lemma_shift_is_div", "Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMulLow", "Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMul", "Prims.op_GreaterThanOrEqual", "Vale.Math.Poly2_s.mul", "Vale.Math.Poly2_s.mod", "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.swap", "Vale.AES.GHash_BE.lemma_swap128_mask_shift", "Vale.Math.Poly2_s.add", "Vale.AES.GF128.lemma_Mul128", "Vale.PPC64LE.QuickCodes.va_qAssert", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.Decls.va_get_vec", "Vale.AES.GHash_BE.ghash_unroll_back", "Vale.AES.PPC64LE.PolyOps.va_quick_VPolyAdd", "Vale.Math.Poly2.lemma_add_associate", "Vale.AES.GF128.lemma_Mul128_accum", "Vale.PPC64LE.QuickCodes.va_QEmpty", "Vale.PPC64LE.QuickCodes.quickCodes", "Prims.int", "Vale.AES.GHash_BE.poly128", "Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCode.va_quickCode", "Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_MulAdd_unroll_2way (va_mods: va_mods_t) (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ()))
[]
Vale.AES.PPC64LE.GHash.va_qcode_MulAdd_unroll_2way
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> in_b: Vale.PPC64LE.Memory.buffer128 -> index: Prims.nat -> h: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way ())
{ "end_col": 60, "end_line": 407, "start_col": 2, "start_line": 262 }
Prims.Ghost
val va_lemma_Ghash_register : va_b0:va_code -> va_s0:va_state -> hkeys_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_register ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in hkeys_b_powers hkeys_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) (va_get_reg 5 va_s0) h /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))))))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_Ghash_register : va_b0:va_code -> va_s0:va_state -> hkeys_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_register ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in hkeys_b_powers hkeys_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) (va_get_reg 5 va_s0) h /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))))) let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
false
null
false
let va_mods:va_mods_t = [ va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let data:(FStar.Seq.Base.seq quad32) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok ]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Decls.va_state", "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Memory.quad32", "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.GHash.va_code_Ghash_register", "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.AES.GHash_BE.ghash_incremental", "Prims.int", "Vale.AES.GHash_BE.poly128", "Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128", "Vale.Math.Poly2_s.poly", "Vale.Math.Poly2.Bits_s.of_quad32", "FStar.Seq.Base.seq", "FStar.Seq.Base.create", "Vale.PPC64LE.QuickCode.quickCode", "Vale.AES.PPC64LE.GHash.va_qcode_Ghash_register" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Ghash_register : va_b0:va_code -> va_s0:va_state -> hkeys_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_register ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in hkeys_b_powers hkeys_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) (va_get_reg 5 va_s0) h /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))))))))
[]
Vale.AES.PPC64LE.GHash.va_lemma_Ghash_register
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> hkeys_b: Vale.PPC64LE.Memory.buffer128 -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel)
{ "end_col": 16, "end_line": 1072, "start_col": 61, "start_line": 1053 }
Prims.Tot
val va_quick_MulAdd_unroll_1way (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data))
val va_quick_MulAdd_unroll_1way (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) let va_quick_MulAdd_unroll_1way (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
false
null
false
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.Math.Poly2_s.poly", "FStar.Seq.Base.seq", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.QuickCode.va_QProc", "Prims.unit", "Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way", "Prims.Cons", "Vale.PPC64LE.QuickCode.mod_t", "Vale.PPC64LE.QuickCode.va_Mod_vec", "Prims.Nil", "Vale.AES.PPC64LE.GHash.va_wp_MulAdd_unroll_1way", "Vale.AES.PPC64LE.GHash.va_wpProof_MulAdd_unroll_1way", "Vale.PPC64LE.QuickCode.va_quickCode" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_MulAdd_unroll_1way (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ()))
[]
Vale.AES.PPC64LE.GHash.va_quick_MulAdd_unroll_1way
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
in_b: Vale.PPC64LE.Memory.buffer128 -> index: Prims.nat -> h: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way ())
{ "end_col": 17, "end_line": 213, "start_col": 2, "start_line": 211 }
Prims.Ghost
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.Math.Poly2_s.poly", "FStar.Seq.Base.seq", "Vale.PPC64LE.Memory.quad32", "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.GHash.va_lemma_MulAdd_unroll_1way", "Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.AES.PPC64LE.GHash.va_wpProof_MulAdd_unroll_1way
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
in_b: Vale.PPC64LE.Memory.buffer128 -> index: Prims.nat -> h: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 206, "start_col": 69, "start_line": 198 }
Prims.Ghost
val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Reduce f va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([ va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0 ]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.Decls.va_state", "Prims.unit", "Vale.PPC64LE.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.PPC64LE.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.PPC64LE.QuickCode.mod_t", "Vale.PPC64LE.QuickCode.va_Mod_vec", "Prims.Nil", "Prims._assert", "Vale.PPC64LE.Decls.va_state_eq", "Vale.PPC64LE.Decls.va_update_vec", "Vale.PPC64LE.Decls.va_update_ok", "Vale.PPC64LE.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.PPC64LE.Machine_s.state", "Vale.AES.PPC64LE.GHash.va_lemma_Reduce", "Vale.AES.PPC64LE.GHash.va_code_Reduce" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.AES.PPC64LE.GHash.va_wpProof_Reduce
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
f: Vale.Math.Poly2_s.poly -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 708, "start_col": 36, "start_line": 699 }
Prims.Ghost
val va_lemma_Ghash_buffer : va_b0:va_code -> va_s0:va_state -> hkeys_b:buffer128 -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in hkeys_b_powers hkeys_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) (va_get_reg 5 va_s0) h /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_s0 /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == y_prev))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) /\ (va_get_reg 6 va_s0 == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_s0)) /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_vec 14 va_sM (va_update_vec 13 va_sM (va_update_vec 12 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))))))))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Ghash_buffer va_b0 va_s0 hkeys_b in_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer va_mods hkeys_b in_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in label va_range1 "***** POSTCONDITION NOT MET AT line 545 column 92 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b))) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 546 column 40 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_s0 == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_Ghash_buffer : va_b0:va_code -> va_s0:va_state -> hkeys_b:buffer128 -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in hkeys_b_powers hkeys_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) (va_get_reg 5 va_s0) h /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_s0 /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == y_prev))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) /\ (va_get_reg 6 va_s0 == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_s0)) /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_vec 14 va_sM (va_update_vec 13 va_sM (va_update_vec 12 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))))))))))) let va_lemma_Ghash_buffer va_b0 va_s0 hkeys_b in_b h_BE y_prev =
false
null
false
let va_mods:va_mods_t = [ va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_reg 6; va_Mod_reg 7; va_Mod_ok ] in let va_qc = va_qcode_Ghash_buffer va_mods hkeys_b in_b h_BE y_prev in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Ghash_buffer ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let h:poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in label va_range1 "***** POSTCONDITION NOT MET AT line 545 column 92 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b))) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 546 column 40 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_s0 == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_reg 6; va_Mod_reg 7; va_Mod_ok ]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Decls.va_state", "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Memory.quad32", "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_cr0", "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.GHash.va_code_Ghash_buffer", "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.AES.GHash_BE.ghash_incremental0", "Vale.Arch.Types.reverse_bytes_quad32_seq", "Vale.PPC64LE.Decls.s128", "Vale.PPC64LE.Decls.va_get_mem_heaplet", "Prims.l_imp", "Prims.int", "Vale.PPC64LE.Decls.va_get_reg", "Vale.PPC64LE.Machine_s.quad32", "Vale.Math.Poly2_s.poly", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.QuickCode.quickCode", "Vale.AES.PPC64LE.GHash.va_qcode_Ghash_buffer" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ())) = (va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer_while0 val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_while0 () = (va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons (va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ()))) val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_while0 () = (va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) = let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat) -> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7 va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16 `op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h == Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in va_QEmpty ((index))))) val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (~(va_get_reg 6 va_sM >= 2))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_while0 (va_code_Ghash_buffer_while0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_while0 ())) = (va_QProc (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_CCons (va_code_Ghash_buffer_while0 ()) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg 6) (va_const_cmp 0)) (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n false) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))))) (va_Block (va_CNil ()))) (va_CNil ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_Ghash_buffer_while0 ()) (va_pbool_and (va_codegen_success_GhashUnroll_n false) (va_ttrue ()))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer (va_mods:va_mods_t) (hkeys_b:buffer128) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_buffer ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 548 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 549 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 550 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret hkeys_b 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 551 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 553 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 554 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg61) (let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 555 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg60) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 556 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg59) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 557 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 558 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 559 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg58) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 560 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg57) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 562 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 563 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg56) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 564 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg55) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 565 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 566 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 567 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64)) (fun (va_s:va_state) _ -> let (va_arg53:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 568 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg53) (let (va_arg52:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 569 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg52) (let (index:nat) = 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 572 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_while0 va_old_s h h_BE in_b y_prev index) (fun (va_s:va_state) index -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 600 column 8 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qIf va_mods (Cmp_gt (va_op_cmp_reg 6) (va_const_cmp 0)) (qblock va_mods (fun (va_s:va_state) -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 601 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (va_get_reg 6 va_old_s)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (va_get_reg 6 va_old_s) in let (y_loop:quad32) = va_get_vec 1 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 604 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n false in_b index h_BE y_loop data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 605 column 40 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg51:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg50:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg49:Vale.Def.Types_s.quad32) = y_loop in let (va_arg48:Vale.Def.Types_s.quad32) = y_prev in let (va_arg47:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 605 column 40 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg47 va_arg48 va_arg49 va_arg50 va_arg51 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 607 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 607 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b))) (va_QEmpty (()))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))))))))))))))))))))))
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Ghash_buffer : va_b0:va_code -> va_s0:va_state -> hkeys_b:buffer128 -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in hkeys_b_powers hkeys_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) (va_get_reg 5 va_s0) h /\ Vale.PPC64LE.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_s0 /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == y_prev))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) /\ (va_get_reg 6 va_s0 == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_s0)) /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_vec 14 va_sM (va_update_vec 13 va_sM (va_update_vec 12 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))))))))))
[]
Vale.AES.PPC64LE.GHash.va_lemma_Ghash_buffer
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> hkeys_b: Vale.PPC64LE.Memory.buffer128 -> in_b: Vale.PPC64LE.Memory.buffer128 -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel)
{ "end_col": 16, "end_line": 2054, "start_col": 64, "start_line": 2033 }
Prims.Ghost
val va_wpProof_GhashUnroll_n : exactly2:bool -> in_b:buffer128 -> index:nat -> h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_GhashUnroll_n exactly2) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_GhashUnroll_n : exactly2:bool -> in_b:buffer128 -> index:nat -> h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_GhashUnroll_n exactly2) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10 ]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Prims.bool", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.PPC64LE.Memory.quad32", "FStar.Seq.Base.seq", "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.GHash.va_lemma_GhashUnroll_n", "Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_GhashUnroll_n : exactly2:bool -> in_b:buffer128 -> index:nat -> h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_GhashUnroll_n exactly2) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.AES.PPC64LE.GHash.va_wpProof_GhashUnroll_n
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
exactly2: Prims.bool -> in_b: Vale.PPC64LE.Memory.buffer128 -> index: Prims.nat -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 888, "start_col": 78, "start_line": 877 }
Prims.Tot
val va_qcode_Ghash_buffer_loop_body (va_mods: va_mods_t) (in_b: buffer128) (h_BE y_prev: quad32) (old_len: nat64) (index: nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_qcode_Ghash_buffer_loop_body (va_mods: va_mods_t) (in_b: buffer128) (h_BE y_prev: quad32) (old_len: nat64) (index: nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) let va_qcode_Ghash_buffer_loop_body (va_mods: va_mods_t) (in_b: buffer128) (h_BE y_prev: quad32) (old_len: nat64) (index: nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583: (FStar.Seq.Base.seq a_1582)) (i_1584: Prims.nat) (j_1585: Prims.nat) -> let j_1545:Prims.nat = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583: (FStar.Seq.Base.seq a_1582)) (i_1584: Prims.nat) (j_1585: Prims.nat) -> let j_1545:Prims.nat = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)) )) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s: va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583: (FStar.Seq.Base.seq a_1582)) (i_1584: Prims.nat) (j_1585: Prims.nat) -> let j_1545:Prims.nat = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545 ) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let va_arg26:Vale.Def.Types_s.quad32 = va_get_vec 1 va_s in let va_arg25:Vale.Def.Types_s.quad32 = va_get_vec 1 va_old_s in let va_arg24:Vale.Def.Types_s.quad32 = y_prev in let va_arg23:Vale.Def.Types_s.quad32 = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583: (FStar.Seq.Base.seq a_1582)) (i_1584: Prims.nat) (j_1585: Prims.nat) -> let j_1545:Prims.nat = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583: (FStar.Seq.Base.seq a_1582)) (i_1584: Prims.nat) (j_1585: Prims.nat) -> let j_1545:Prims.nat = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.QuickCode.va_mods_t", "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.nat64", "Prims.nat", "Vale.PPC64LE.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Machine_s.Block", "Vale.PPC64LE.Decls.ins", "Vale.PPC64LE.Decls.ocmp", "Prims.Nil", "Vale.PPC64LE.Machine_s.precode", "Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n", "Vale.PPC64LE.InsBasic.va_code_AddImm", "Vale.PPC64LE.Decls.va_op_reg_opr_reg", "Vale.PPC64LE.InsBasic.va_code_SubImm", "Vale.PPC64LE.Decls.va_state", "Vale.PPC64LE.QuickCodes.va_qAssertSquash", "Vale.PPC64LE.QuickCodes.va_range1", "Prims.b2t", "Prims.op_AmpAmp", "Prims.op_LessThanOrEqual", "FStar.Seq.Base.length", "Vale.Def.Types_s.quad32", "Vale.Arch.Types.reverse_bytes_quad32_seq", "Vale.PPC64LE.Decls.s128", "Vale.PPC64LE.Decls.va_get_mem_heaplet", "Prims.op_Addition", "Prims.squash", "Vale.PPC64LE.QuickCodes.va_QBind", "Vale.AES.PPC64LE.GHash.va_quick_GhashUnroll_n", "Vale.AES.GHash_BE.ghash_incremental0", "FStar.Seq.Base.slice", "Vale.PPC64LE.QuickCodes.va_qPURE", "Prims.pure_post", "Prims.l_and", "Prims.op_Equality", "Prims.l_Forall", "Prims.l_imp", "FStar.Seq.Base.op_At_Bar", "Vale.AES.GHash_BE.lemma_ghash_incremental0_append", "Vale.PPC64LE.QuickCodes.va_qAssert", "FStar.Seq.Base.equal", "FStar.Seq.Base.append", "Vale.PPC64LE.QuickCodes.va_QSeq", "Vale.PPC64LE.InsBasic.va_quick_AddImm", "Vale.PPC64LE.InsBasic.va_quick_SubImm", "Vale.PPC64LE.QuickCodes.va_QEmpty", "Vale.PPC64LE.QuickCodes.quickCodes", "Vale.PPC64LE.Decls.va_get_vec", "FStar.Seq.Base.seq", "Vale.Math.Poly2_s.poly", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCode.va_quickCode", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_loop_body" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Ghash_buffer_loop_body (va_mods: va_mods_t) (in_b: buffer128) (h_BE y_prev: quad32) (old_len: nat64) (index: nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ()))
[]
Vale.AES.PPC64LE.GHash.va_qcode_Ghash_buffer_loop_body
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> in_b: Vale.PPC64LE.Memory.buffer128 -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> old_len: Vale.PPC64LE.Memory.nat64 -> index: Prims.nat -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_loop_body ())
{ "end_col": 94, "end_line": 1171, "start_col": 2, "start_line": 1112 }
Prims.Ghost
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM)
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
false
null
false
let va_mods:va_mods_t = [ va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok ] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` (va_get_reg 6 va_sM) < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok ]) va_sM va_s0; (va_sM, va_fM)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Decls.va_state", "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.nat64", "Prims.nat", "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.GHash.va_code_Ghash_buffer_loop_body", "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", "Prims.int", "Prims.op_Addition", "Vale.PPC64LE.Decls.va_get_reg", "Vale.PPC64LE.Decls.validSrcAddrsOffset128", "Vale.PPC64LE.Decls.va_get_mem_heaplet", "Vale.PPC64LE.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.Decls.buffer_length", "Vale.PPC64LE.Memory.vuint128", "Prims.op_LessThan", "Prims.op_Multiply", "Vale.PPC64LE.Machine_s.pow2_64", "Vale.Def.Types_s.quad32", "Vale.PPC64LE.Decls.va_get_vec", "Vale.AES.GHash_BE.ghash_incremental0", "FStar.Seq.Base.slice", "Vale.Arch.Types.reverse_bytes_quad32_seq", "Vale.PPC64LE.Decls.s128", "Prims.op_Subtraction", "Vale.Math.Poly2_s.poly", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.QuickCode.quickCode", "Vale.AES.PPC64LE.GHash.va_qcode_Ghash_buffer_loop_body" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))))
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))))
[]
Vale.AES.PPC64LE.GHash.va_lemma_Ghash_buffer_loop_body
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> in_b: Vale.PPC64LE.Memory.buffer128 -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> old_len: Vale.PPC64LE.Memory.nat64 -> index: Prims.nat -> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel)
{ "end_col": 16, "end_line": 1249, "start_col": 80, "start_line": 1215 }
Prims.Tot
val va_wp_Ghash_buffer_loop_body (in_b: buffer128) (h_BE y_prev: quad32) (old_len: nat64) (index: nat) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wp_Ghash_buffer_loop_body (in_b: buffer128) (h_BE y_prev: quad32) (old_len: nat64) (index: nat) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Ghash_buffer_loop_body (in_b: buffer128) (h_BE y_prev: quad32) (old_len: nat64) (index: nat) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` (va_get_reg 6 va_s0) < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7: nat64) (va_x_r6: nat64) (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_v8: quad32) (va_x_v9: quad32) (va_x_v10: quad32) (va_x_v11: quad32). let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))) )))))) in va_get_ok va_sM /\ (let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` (va_get_reg 6 va_sM) < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.nat64", "Prims.nat", "Vale.PPC64LE.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Prims.op_GreaterThanOrEqual", "Vale.PPC64LE.Decls.va_get_reg", "Prims.eq2", "Prims.int", "Prims.op_Addition", "Vale.PPC64LE.Decls.validSrcAddrsOffset128", "Vale.PPC64LE.Decls.va_get_mem_heaplet", "Vale.PPC64LE.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.Decls.buffer_length", "Vale.PPC64LE.Memory.vuint128", "Prims.op_LessThan", "Prims.op_Multiply", "Vale.PPC64LE.Machine_s.pow2_64", "Vale.Def.Types_s.quad32", "Vale.PPC64LE.Decls.va_get_vec", "Vale.AES.GHash_BE.ghash_incremental0", "FStar.Seq.Base.slice", "Vale.Arch.Types.reverse_bytes_quad32_seq", "Vale.PPC64LE.Decls.s128", "Vale.Math.Poly2_s.poly", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.Math.Poly2.swap", "Vale.AES.GHash_BE.gf128_power", "Vale.Math.Poly2_s.mul", "Vale.Math.Poly2_s.div", "Vale.Math.Poly2_s.monomial", "Vale.Math.Poly2_s.mod", "Prims.l_Forall", "Prims.l_imp", "Prims.op_Subtraction", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.Decls.va_upd_vec", "Vale.PPC64LE.Decls.va_upd_reg" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
false
true
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Ghash_buffer_loop_body (in_b: buffer128) (h_BE y_prev: quad32) (old_len: nat64) (index: nat) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.AES.PPC64LE.GHash.va_wp_Ghash_buffer_loop_body
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
in_b: Vale.PPC64LE.Memory.buffer128 -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> old_len: Vale.PPC64LE.Memory.nat64 -> index: Prims.nat -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 49, "end_line": 1290, "start_col": 2, "start_line": 1254 }
Prims.Ghost
val va_lemma_ReduceLast : va_b0:va_code -> va_s0:va_state -> h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_ReduceLast ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_get_vec 8 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 3254779904 0 0 /\ n > 0 /\ add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 n (n - 1)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data /\ xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi)) /\ va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM)
val va_lemma_ReduceLast : va_b0:va_code -> va_s0:va_state -> h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_ReduceLast ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_get_vec 8 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 3254779904 0 0 /\ n > 0 /\ add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 n (n - 1)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data /\ xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi)) /\ va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_ReduceLast va_b0 va_s0 h_BE y_prev data =
false
null
false
let va_mods:va_mods_t = [ va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let n:Prims.nat = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Decls.va_state", "Vale.PPC64LE.Memory.quad32", "FStar.Seq.Base.seq", "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.GHash.va_code_ReduceLast", "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.Math.Poly2.Bits_s.to_quad32", "Vale.AES.GHash_BE.ghash_incremental", "Vale.Math.Poly2_s.poly", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.Decls.va_get_vec", "Prims.nat", "FStar.Seq.Base.length", "Prims.int", "Vale.AES.GHash_BE.poly128", "Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128", "Vale.PPC64LE.QuickCode.quickCode", "Vale.AES.PPC64LE.GHash.va_qcode_ReduceLast" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_ReduceLast : va_b0:va_code -> va_s0:va_state -> h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_ReduceLast ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_get_vec 8 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 3254779904 0 0 /\ n > 0 /\ add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 n (n - 1)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data /\ xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi)) /\ va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))))
[]
Vale.AES.PPC64LE.GHash.va_lemma_ReduceLast
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 -> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel)
{ "end_col": 16, "end_line": 782, "start_col": 54, "start_line": 761 }
Prims.Tot
val va_wp_Ghash_buffer_body0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) (va_s0: va_state) (va_k: (va_state -> nat -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index))))
val va_wp_Ghash_buffer_body0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) (va_s0: va_state) (va_k: (va_state -> nat -> Type0)) : Type0 let va_wp_Ghash_buffer_body0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) (va_s0: va_state) (va_k: (va_state -> nat -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` (va_get_reg 6 va_s0) < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0: cr0_t) (va_x_ok: bool) (va_x_r10: nat64) (va_x_r6: nat64) (va_x_r7: nat64) (va_x_v0: quad32) (va_x_v1: quad32) (va_x_v10: quad32) (va_x_v11: quad32) (va_x_v2: quad32) (va_x_v3: quad32) (va_x_v4: quad32) (va_x_v8: quad32) (va_x_v9: quad32) (index: nat). let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0) )))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` (va_get_reg 6 va_sM) < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.Decls.va_state", "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Prims.l_and", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Prims.eq2", "Prims.int", "Prims.op_Addition", "Vale.PPC64LE.Decls.va_get_reg", "Prims.op_Multiply", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.Decls.va_get_vec", "Vale.Math.Poly2.swap", "Vale.AES.GHash_BE.gf128_power", "Vale.Math.Poly2_s.mul", "Vale.Math.Poly2_s.div", "Vale.Math.Poly2_s.monomial", "Vale.Math.Poly2_s.mod", "Vale.PPC64LE.Decls.validSrcAddrsOffset128", "Vale.PPC64LE.Decls.va_get_mem_heaplet", "Vale.PPC64LE.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.Decls.buffer_length", "Vale.PPC64LE.Memory.vuint128", "Prims.op_LessThan", "Vale.PPC64LE.Machine_s.pow2_64", "Vale.Def.Types_s.quad32", "Vale.AES.GHash_BE.ghash_incremental0", "FStar.Seq.Base.slice", "Vale.Arch.Types.reverse_bytes_quad32_seq", "Vale.PPC64LE.Decls.s128", "Prims.l_imp", "Vale.PPC64LE.Machine_s.quad32", "Prims.op_GreaterThanOrEqual", "Prims.l_Forall", "Vale.PPC64LE.Machine_s.cr0_t", "Prims.bool", "Vale.PPC64LE.Memory.nat64", "Vale.PPC64LE.QuickCodes.precedes_wrap", "Vale.PPC64LE.Machine_s.nat64", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.Decls.va_upd_vec", "Vale.PPC64LE.Decls.va_upd_reg", "Vale.PPC64LE.Decls.va_upd_ok", "Vale.PPC64LE.Decls.va_upd_cr0" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
false
true
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Ghash_buffer_body0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) (va_s0: va_state) (va_k: (va_state -> nat -> Type0)) : Type0
[]
Vale.AES.PPC64LE.GHash.va_wp_Ghash_buffer_body0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_old: Vale.PPC64LE.Decls.va_state -> va_in_h: Vale.Math.Poly2_s.poly -> va_in_h_BE: Vale.PPC64LE.Memory.quad32 -> va_in_in_b: Vale.PPC64LE.Memory.buffer128 -> va_in_y_prev: Vale.PPC64LE.Memory.quad32 -> va_in_index: Prims.nat -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.nat -> Type0) -> Type0
{ "end_col": 86, "end_line": 1581, "start_col": 2, "start_line": 1531 }
Prims.Ghost
val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_while0 (va_code_Ghash_buffer_while0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g)
val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k =
false
null
false
let va_sM, va_f0, index = va_lemma_Ghash_buffer_while0 (va_code_Ghash_buffer_while0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([ va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0 ]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Decls.va_state", "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.PPC64LE.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "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", "Vale.PPC64LE.QuickCode.va_Mod_cr0", "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_cr0", "Vale.PPC64LE.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "Vale.PPC64LE.Machine_s.state", "Vale.AES.PPC64LE.GHash.va_lemma_Ghash_buffer_while0", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_while0" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ())) = (va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer_while0 val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_while0 () = (va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons (va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ()))) val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_while0 () = (va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) = let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat) -> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7 va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16 `op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h == Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in va_QEmpty ((index))))) val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (~(va_get_reg 6 va_sM >= 2))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"]
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_buffer_while0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_old: Vale.PPC64LE.Decls.va_state -> va_in_h: Vale.Math.Poly2_s.poly -> va_in_h_BE: Vale.PPC64LE.Memory.quad32 -> va_in_in_b: Vale.PPC64LE.Memory.buffer128 -> va_in_y_prev: Vale.PPC64LE.Memory.quad32 -> va_in_index: Prims.nat -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.nat -> Type0) -> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.nat)
{ "end_col": 22, "end_line": 1868, "start_col": 14, "start_line": 1856 }
Prims.Tot
val va_wp_Ghash_buffer_while0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) (va_s0: va_state) (va_k: (va_state -> nat -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index))))
val va_wp_Ghash_buffer_while0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) (va_s0: va_state) (va_k: (va_state -> nat -> Type0)) : Type0 let va_wp_Ghash_buffer_while0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) (va_s0: va_state) (va_k: (va_state -> nat -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` (va_get_reg 6 va_s0) < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ (forall (va_x_cr0: cr0_t) (va_x_ok: bool) (va_x_r10: nat64) (va_x_r6: nat64) (va_x_r7: nat64) (va_x_v0: quad32) (va_x_v1: quad32) (va_x_v10: quad32) (va_x_v11: quad32) (va_x_v2: quad32) (va_x_v3: quad32) (va_x_v4: quad32) (va_x_v8: quad32) (va_x_v9: quad32) (index: nat). let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0) )))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` (va_get_reg 6 va_sM) < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.Decls.va_state", "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Prims.l_and", "Prims.b2t", "Vale.PPC64LE.Decls.va_get_ok", "Prims.eq2", "Prims.int", "Prims.op_Addition", "Vale.PPC64LE.Decls.va_get_reg", "Prims.op_Multiply", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.Decls.va_get_vec", "Vale.Math.Poly2.swap", "Vale.AES.GHash_BE.gf128_power", "Vale.Math.Poly2_s.mul", "Vale.Math.Poly2_s.div", "Vale.Math.Poly2_s.monomial", "Vale.Math.Poly2_s.mod", "Vale.PPC64LE.Decls.validSrcAddrsOffset128", "Vale.PPC64LE.Decls.va_get_mem_heaplet", "Vale.PPC64LE.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.Decls.buffer_length", "Vale.PPC64LE.Memory.vuint128", "Prims.op_LessThan", "Vale.PPC64LE.Machine_s.pow2_64", "Vale.Def.Types_s.quad32", "Vale.AES.GHash_BE.ghash_incremental0", "FStar.Seq.Base.slice", "Vale.Arch.Types.reverse_bytes_quad32_seq", "Vale.PPC64LE.Decls.s128", "Prims.l_imp", "Vale.PPC64LE.Machine_s.quad32", "Prims.l_Forall", "Vale.PPC64LE.Machine_s.cr0_t", "Prims.bool", "Vale.PPC64LE.Memory.nat64", "Prims.l_not", "Prims.op_GreaterThanOrEqual", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.Decls.va_upd_vec", "Vale.PPC64LE.Decls.va_upd_reg", "Vale.PPC64LE.Decls.va_upd_ok", "Vale.PPC64LE.Decls.va_upd_cr0" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ())) = (va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer_while0 val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_while0 () = (va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons (va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ()))) val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_while0 () = (va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) = let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat) -> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7 va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16 `op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h == Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in va_QEmpty ((index))))) val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (~(va_get_reg 6 va_sM >= 2))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
false
true
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Ghash_buffer_while0 (va_old: va_state) (va_in_h: poly) (va_in_h_BE: quad32) (va_in_in_b: buffer128) (va_in_y_prev: quad32) (va_in_index: nat) (va_s0: va_state) (va_k: (va_state -> nat -> Type0)) : Type0
[]
Vale.AES.PPC64LE.GHash.va_wp_Ghash_buffer_while0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_old: Vale.PPC64LE.Decls.va_state -> va_in_h: Vale.Math.Poly2_s.poly -> va_in_h_BE: Vale.PPC64LE.Memory.quad32 -> va_in_in_b: Vale.PPC64LE.Memory.buffer128 -> va_in_y_prev: Vale.PPC64LE.Memory.quad32 -> va_in_index: Prims.nat -> va_s0: Vale.PPC64LE.Decls.va_state -> va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.nat -> Type0) -> Type0
{ "end_col": 57, "end_line": 1841, "start_col": 2, "start_line": 1792 }
Prims.Ghost
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index)
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index =
false
null
false
let va_old = va_expand_state va_old in let va_mods:va_mods_t = [ va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0 ] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` (va_get_reg 6 va_sM) < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0 ]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Decls.va_state", "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.PPC64LE.QuickCodes.fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.PPC64LE.Decls.va_fuel", "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", "Vale.PPC64LE.QuickCode.va_Mod_cr0", "Prims.Nil", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.list", "Vale.PPC64LE.QuickCode.__proj__QProc__item__mods", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0", "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.int", "Prims.op_Addition", "Vale.PPC64LE.Decls.va_get_reg", "Prims.op_Multiply", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.Decls.va_get_vec", "Vale.Math.Poly2.swap", "Vale.AES.GHash_BE.gf128_power", "Vale.Math.Poly2_s.mul", "Vale.Math.Poly2_s.div", "Vale.Math.Poly2_s.monomial", "Vale.Math.Poly2_s.mod", "Vale.PPC64LE.Decls.validSrcAddrsOffset128", "Vale.PPC64LE.Decls.va_get_mem_heaplet", "Vale.PPC64LE.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.Decls.buffer_length", "Vale.PPC64LE.Memory.vuint128", "Prims.op_LessThan", "Vale.PPC64LE.Machine_s.pow2_64", "Vale.Def.Types_s.quad32", "Vale.AES.GHash_BE.ghash_incremental0", "FStar.Seq.Base.slice", "Vale.Arch.Types.reverse_bytes_quad32_seq", "Vale.PPC64LE.Decls.s128", "Prims.l_imp", "Vale.PPC64LE.Machine_s.quad32", "Vale.PPC64LE.QuickCodes.precedes_wrap", "Vale.PPC64LE.Machine_s.nat64", "Vale.PPC64LE.QuickCode.quickCode", "Vale.AES.PPC64LE.GHash.va_qcode_Ghash_buffer_body0", "Vale.PPC64LE.Decls.va_expand_state" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"]
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))))
[]
Vale.AES.PPC64LE.GHash.va_lemma_Ghash_buffer_body0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> va_old: Vale.PPC64LE.Decls.va_state -> va_in_h: Vale.Math.Poly2_s.poly -> va_in_h_BE: Vale.PPC64LE.Memory.quad32 -> va_in_in_b: Vale.PPC64LE.Memory.buffer128 -> va_in_y_prev: Vale.PPC64LE.Memory.quad32 -> va_in_index: Prims.nat -> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.nat)
{ "end_col": 23, "end_line": 1525, "start_col": 15, "start_line": 1467 }
Prims.Ghost
val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (~(va_get_reg 6 va_sM >= 2))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index)
val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index =
false
null
false
let va_old = va_expand_state va_old in let va_mods:va_mods_t = [ va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0 ] in let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` (va_get_reg 6 va_sM) < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (~(va_get_reg 6 va_sM >= 2))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0 ]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index)
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[]
[ "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.Decls.va_state", "Vale.Math.Poly2_s.poly", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.Memory.buffer128", "Prims.nat", "Vale.PPC64LE.QuickCodes.fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.PPC64LE.Decls.va_fuel", "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", "Vale.PPC64LE.QuickCode.va_Mod_cr0", "Prims.Nil", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.list", "Vale.PPC64LE.QuickCode.__proj__QProc__item__mods", "Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_while0", "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.int", "Prims.op_Addition", "Vale.PPC64LE.Decls.va_get_reg", "Prims.op_Multiply", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.PPC64LE.Decls.va_get_vec", "Vale.Math.Poly2.swap", "Vale.AES.GHash_BE.gf128_power", "Vale.Math.Poly2_s.mul", "Vale.Math.Poly2_s.div", "Vale.Math.Poly2_s.monomial", "Vale.Math.Poly2_s.mod", "Vale.PPC64LE.Decls.validSrcAddrsOffset128", "Vale.PPC64LE.Decls.va_get_mem_heaplet", "Vale.PPC64LE.Decls.va_get_mem_layout", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.Decls.buffer_length", "Vale.PPC64LE.Memory.vuint128", "Prims.op_LessThan", "Vale.PPC64LE.Machine_s.pow2_64", "Vale.Def.Types_s.quad32", "Vale.AES.GHash_BE.ghash_incremental0", "FStar.Seq.Base.slice", "Vale.Arch.Types.reverse_bytes_quad32_seq", "Vale.PPC64LE.Decls.s128", "Prims.l_imp", "Vale.PPC64LE.Machine_s.quad32", "Prims.l_not", "Prims.op_GreaterThanOrEqual", "Vale.PPC64LE.QuickCode.quickCode", "Vale.AES.PPC64LE.GHash.va_qcode_Ghash_buffer_while0", "Vale.PPC64LE.Decls.va_expand_state" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register va_mods hkeys_b h_BE y_prev in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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_Ghash_register hkeys_b h_BE y_prev va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 7 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 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; 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) //-- //-- Ghash_buffer_loop_body val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_loop_body () = (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_loop_body () = (va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) index (index + 2) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let (va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let (va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 data) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ((fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1582 (s_1583:(FStar.Seq.Base.seq a_1582)) (i_1584:Prims.nat) (j_1585:Prims.nat) -> let (j_1545:Prims.nat) = j_1585 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1584 j_1545) (Prims.op_LessThanOrEqual j_1545 (FStar.Seq.Base.length #a_1582 s_1583)))) Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32 (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data) (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok] in let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1 "***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let index' = index + 2 in label va_range1 "***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index' + va_get_reg 6 va_sM == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64) (va_x_r6:nat64) (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_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (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_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0 in_b h_BE y_prev old_len index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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_reg 6 va_sM (va_update_reg 7 va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) = (va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index) (va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) //-- //-- Mod_cr0 val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Mod_cr0 () = (va_Block (va_CNil ())) val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Mod_cr0 () = (va_ttrue ()) [@ "opaque_to_smt" va_qattr] let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) [@"opaque_to_smt"] let va_lemma_Mod_cr0 va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in let va_qc = va_qcode_Mod_cr0 va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok va_sM ==> va_k va_sM (()))) val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Mod_cr0 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))); va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) = (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) //-- //-- Ghash_buffer_body0 val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_body0 () = (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ())))) val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_body0 () = (va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mod_cr0 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun (va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let index = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let index = va_g in (va_sM, va_fM, index) [@ va_qattr] let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state -> nat -> Type0)) : Type0 = (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index)))) val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state -> va_k:(va_state -> nat -> Type0) -> Ghost (va_state & va_fuel & nat) (requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index va_s0 va_k = let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0; let va_g = (index) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat (va_code_Ghash_buffer_body0 ())) = (va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) //-- //-- Ghash_buffer_while0 val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Ghash_buffer_while0 () = (va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons (va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ()))) val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_buffer_while0 () = (va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) = va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) = let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat) -> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7 va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16 `op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h == Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in va_QEmpty ((index))))) val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))))) [@"opaque_to_smt"]
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> Ghost (va_state & va_fuel & nat) (requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE)) (ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0))))))))))))))))
[]
Vale.AES.PPC64LE.GHash.va_lemma_Ghash_buffer_while0
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> va_old: Vale.PPC64LE.Decls.va_state -> va_in_h: Vale.Math.Poly2_s.poly -> va_in_h_BE: Vale.PPC64LE.Memory.quad32 -> va_in_in_b: Vale.PPC64LE.Memory.buffer128 -> va_in_y_prev: Vale.PPC64LE.Memory.quad32 -> va_in_index: Prims.nat -> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.nat)
{ "end_col": 23, "end_line": 1786, "start_col": 15, "start_line": 1728 }
Prims.Tot
val va_qcode_Ghash_register (va_mods: va_mods_t) (hkeys_b: buffer128) (h_BE y_prev: quad32) : (va_quickCode unit (va_code_Ghash_register ()))
[ { "abbrev": false, "full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE", "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.AES.PPC64LE.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE.PolyOps", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.TypesNative", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_helpers", "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.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) : (va_quickCode unit (va_code_Ghash_register ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337:(FStar.Seq.Base.seq a_336)) (i_338:Prims.nat) -> let (i_312:Prims.nat) = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let (va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let (va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let (va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let (va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let (va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let (va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let (va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let (va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
val va_qcode_Ghash_register (va_mods: va_mods_t) (hkeys_b: buffer128) (h_BE y_prev: quad32) : (va_quickCode unit (va_code_Ghash_register ())) let va_qcode_Ghash_register (va_mods: va_mods_t) (hkeys_b: buffer128) (h_BE y_prev: quad32) : (va_quickCode unit (va_code_Ghash_register ())) =
false
null
false
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let data:(FStar.Seq.Base.seq quad32) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s: va_state) _ -> let va_arg71:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let va_arg70:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let va_arg69:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 )) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1 ) 64)) (fun (va_s: va_state) _ -> let va_arg68:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let va_arg67:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67 ) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (0 >= 0 /\ (fun a_336 (s_337: (FStar.Seq.Base.seq a_336)) (i_338: Prims.nat) -> let i_312:Prims.nat = i_338 in Prims.b2t (Prims.op_LessThan i_312 (FStar.Seq.Base.length #a_336 s_337))) quad32 data 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let data_i:poly = pdata 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun (va_s: va_state) _ -> let va_arg66:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let va_arg65:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun (va_s: va_state ) _ -> let va_arg64:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.monomial 64 in let va_arg63:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64 ) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_: unit ) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64 ) (let va_arg62:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s ) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64 ) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_quick_VPolyMulHigh ( va_op_vec_opr_vec 4 ) ( va_op_vec_opr_vec 9 ) ( va_op_vec_opr_vec 6 ) ) ( fun ( va_s: va_state ) _ -> let va_arg61:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.monomial 64 in let va_arg60:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61 ) ( let va_arg59:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64 ) ( let va_arg58:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mod ( Vale.AES.GHash_BE.gf128_power h 1 ) ( Vale.Math.Poly2_s.monomial 64 ) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64 ) ( let va_arg57:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57 ) ( let va_arg56:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64 ) ( let va_arg55:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.mul ( Vale.Math.Poly2_s.div ( Vale.AES.GHash_BE.gf128_power h 1 ) ( Vale.Math.Poly2_s.monomial 64 ) ) ( Vale.Math.Poly2_s.monomial 64 ) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64 ) ( let va_arg54:Vale.Math.Poly2_s.poly = Vale.AES.GHash_BE.gf128_power h 1 in let va_arg53:Vale.Math.Poly2_s.poly = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54 ) ( va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_quick_Vspltisw ( va_op_vec_opr_vec 8 ) 0 ) ( va_QBind va_range1 "***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_quick_LoadImmShl64 ( va_op_reg_opr_reg 10 ) ( - 15872 ) ) ( fun ( va_s: va_state ) _ -> let va_arg52:Vale.Def.Types_s.nat64 = ( - 15872 ) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( fun ( _: unit ) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16 ) ( va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_quick_Mtvsrws ( va_op_vec_opr_vec 0 ) ( va_op_reg_opr_reg 10 ) ) ( va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_quick_Vsldoi ( va_op_vec_opr_vec 1 ) ( va_op_vec_opr_vec 8 ) ( va_op_vec_opr_vec 0 ) 4 ) ( va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_quick_Vsldoi ( va_op_vec_opr_vec 8 ) ( va_op_vec_opr_vec 1 ) ( va_op_vec_opr_vec 8 ) 4 ) ( va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" ( va_quick_ReduceLast h_BE y_prev data ) ( va_QEmpty ( () ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )) )))))))))))))) ))))))
{ "checked_file": "Vale.AES.PPC64LE.GHash.fst.checked", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.QuickCodes.fsti.checked", "Vale.PPC64LE.QuickCode.fst.checked", "Vale.PPC64LE.Memory.fsti.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.Poly1305.Math.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.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.Types_helpers.fsti.checked", "Vale.AES.PPC64LE.PolyOps.fsti.checked", "Vale.AES.PPC64LE.GF128_Mul.fsti.checked", "Vale.AES.GHash_BE.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_BE_s.fst.checked", "Vale.AES.GCTR_BE.fsti.checked", "Vale.AES.GCM_helpers_BE.fsti.checked", "Vale.AES.AES_helpers.fsti.checked", "Vale.AES.AES_BE_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.PPC64LE.GHash.fst" }
[ "total" ]
[ "Vale.PPC64LE.QuickCode.va_mods_t", "Vale.PPC64LE.Memory.buffer128", "Vale.PPC64LE.Memory.quad32", "Vale.PPC64LE.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer", "Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet", "Vale.PPC64LE.Decls.va_op_vec_opr_vec", "Vale.PPC64LE.Decls.va_op_reg_opr_reg", "Vale.Arch.HeapTypes_s.Secret", "Vale.PPC64LE.InsVector.va_code_Vspltisw", "Vale.AES.PPC64LE.PolyOps.va_code_VSwap", "Vale.AES.PPC64LE.GF128_Mul.va_code_High64ToLow", "Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh", "Vale.PPC64LE.Machine_s.Block", "Vale.PPC64LE.Decls.ins", "Vale.PPC64LE.Decls.ocmp", "Prims.Nil", "Vale.PPC64LE.Machine_s.precode", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyAdd", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulLow", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyMul", "Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulHigh", "Vale.PPC64LE.InsBasic.va_code_LoadImmShl64", "Prims.op_Minus", "Vale.PPC64LE.InsVector.va_code_Mtvsrws", "Vale.PPC64LE.InsVector.va_code_Vsldoi", "Vale.AES.PPC64LE.GHash.va_code_ReduceLast", "Vale.PPC64LE.Decls.va_state", "Vale.PPC64LE.QuickCodes.va_QSeq", "Vale.PPC64LE.QuickCodes.va_range1", "Vale.PPC64LE.InsVector.va_quick_Load128_byte16_buffer", "Vale.PPC64LE.InsVector.va_quick_Vspltisw", "Vale.PPC64LE.QuickCodes.va_QBind", "Vale.AES.PPC64LE.PolyOps.va_quick_VSwap", "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_s.poly", "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.Math.Poly2.Bits.lemma_quad32_double", "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.GHash_BE.gf128_power", "Vale.AES.PPC64LE.GF128_Mul.va_quick_Low64ToHigh", "Prims.op_LessThan", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.Math.Poly2.Bits.lemma_of_to_quad32", "Vale.PPC64LE.QuickCodes.va_qAssertSquash", "Prims.op_GreaterThanOrEqual", "FStar.Seq.Base.length", "Prims.nat", "Prims.squash", "Vale.PPC64LE.QuickCodes.va_qAssert", "Vale.Def.Types_s.quad32", "Vale.PPC64LE.Decls.va_get_vec", "FStar.Seq.Base.index", "Prims.l_True", "Vale.AES.GF128.shift_key_1", "Vale.AES.GF128_s.gf128_modulus_low_terms", "Vale.AES.GHash_BE.g_power", "Vale.AES.GHash_BE.lemma_gf128_power", "Vale.AES.PPC64LE.PolyOps.va_quick_VPolyAdd", "Vale.Math.Poly2_s.zero", "Vale.Math.Poly2.Lemmas.lemma_degree_negative", "Vale.Math.Poly2.Lemmas.lemma_shift_is_div", "Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMulLow", "Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMul", "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.AES.GHash_BE.lemma_swap128_mask_shift", "Vale.AES.GF128.lemma_Mul128", "Vale.PPC64LE.InsBasic.va_quick_LoadImmShl64", "Prims.int", "Vale.Def.Types_s.ishl", "Prims.op_Modulus", "Prims.op_Multiply", "Prims.pow2", "Vale.AES.Types_helpers.lemma_ishl_64", "Vale.PPC64LE.InsVector.va_quick_Mtvsrws", "Vale.PPC64LE.InsVector.va_quick_Vsldoi", "Vale.AES.PPC64LE.GHash.va_quick_ReduceLast", "Vale.PPC64LE.QuickCodes.va_QEmpty", "Vale.Def.Words_s.nat64", "Vale.PPC64LE.Machine_s.pow2_64", "Vale.PPC64LE.QuickCodes.quickCodes", "Vale.AES.GHash_BE.poly128", "Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128", "FStar.Seq.Base.seq", "FStar.Seq.Base.create", "Vale.PPC64LE.Machine_s.state", "Vale.PPC64LE.QuickCode.va_quickCode", "Vale.AES.PPC64LE.GHash.va_code_Ghash_register" ]
[]
module Vale.AES.PPC64LE.GHash open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Types_s open FStar.Seq open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_BE_s open Vale.PPC64LE.Machine_s open Vale.PPC64LE.Memory 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.AES_helpers open Vale.Poly1305.Math // For lemma_poly_bits64() open Vale.AES.GCM_helpers_BE open Vale.AES.GCTR_BE_s open Vale.AES.GCTR_BE open Vale.Arch.TypesNative open Vale.AES.PPC64LE.PolyOps open Vale.AES.PPC64LE.GF128_Mul 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.AES.GHash_BE #reset-options "--z3rlimit 50" //-- MulAdd_unroll_1way val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_1way () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_CNil ()))))))) val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_1way () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_i:poly) = pdata 0 in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let (va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let (va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let (va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let (va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let (va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let (va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let (va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty (())))))))))))))))))))) val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\ in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) = (va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index h prev data)) //-- //-- MulAdd_unroll_2way val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_MulAdd_unroll_2way () = (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil ()))))))))))))))) val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_MulAdd_unroll_2way () = (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_ttrue ())))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ -> let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let (va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let (va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let (va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun (va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let (va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let (va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let (va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let (va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let (va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let (va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let (va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun (va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let (va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let (va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let (va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let (va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let (va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let (va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let (va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let (va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let (va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let (va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63 va_arg64) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1 "***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\ in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; 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_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) = (va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) (va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h prev data)) //-- //-- Reduce val va_code_Reduce : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Reduce () = (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_CNil ())))))))))))))) val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Reduce () = (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (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_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let (va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ -> let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun (va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 10 va_s) in let (va_arg35: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 277 column 22 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_VPolyAdd (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_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty (())))))))))))))))))))))) val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))))) [@"opaque_to_smt"] let va_lemma_Reduce va_b0 va_s0 f = let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in let va_qc = va_qcode_Reduce va_mods f in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in label va_range1 "***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32) (va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let (a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) val va_wpProof_Reduce : f: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_Reduce f va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Reduce f va_s0 va_k = let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0)))))))))); va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) = (va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce f)) //-- //-- ReduceLast [@ "opaque_to_smt" va_qattr] let va_code_ReduceLast () = (va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_ReduceLast () = (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_ReduceLast ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let (va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23) (let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_ReduceLast va_mods h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1 "***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 10; va_Mod_vec 9; va_Mod_vec 8; 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 = () in (va_sM, va_f0, va_g) //-- //-- GhashUnroll_n [@ "opaque_to_smt" va_qattr] let va_code_GhashUnroll_n exactly2 = (va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_GhashUnroll_n exactly2 = (va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n exactly2)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let (va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) [@"opaque_to_smt"] let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data = let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1 "***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/everest/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****" (va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k = let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 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 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; 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) //-- //-- Ghash_register [@ "opaque_to_smt" va_qattr] let va_code_Ghash_register () = (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_register () = (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (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 5) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
false
false
Vale.AES.PPC64LE.GHash.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_qcode_Ghash_register (va_mods: va_mods_t) (hkeys_b: buffer128) (h_BE y_prev: quad32) : (va_quickCode unit (va_code_Ghash_register ()))
[]
Vale.AES.PPC64LE.GHash.va_qcode_Ghash_register
{ "file_name": "obj/Vale.AES.PPC64LE.GHash.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> hkeys_b: Vale.PPC64LE.Memory.buffer128 -> h_BE: Vale.PPC64LE.Memory.quad32 -> y_prev: Vale.PPC64LE.Memory.quad32 -> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_Ghash_register ())
{ "end_col": 95, "end_line": 1050, "start_col": 2, "start_line": 934 }
FStar.Pervasives.Lemma
val bitfield_be_to_n_slice (s: S.seq U8.t) (i j: nat) : Lemma (requires (Seq.length s > 0 /\ i <= j /\ j <= S.length s)) (ensures (let len = S.length s in be_to_n s < pow2 (8 * len) /\ be_to_n (S.slice s i j) == BF.get_bitfield #(8 * len) (be_to_n s) (8 * (len - j)) (8 * (len - i))))
[ { "abbrev": true, "full_module": "FStar.UInt8", "short_module": "U8" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": true, "full_module": "FStar.Seq", "short_module": "S" }, { "abbrev": true, "full_module": "LowParse.BitFields", "short_module": "BF" }, { "abbrev": false, "full_module": "LowParse.Endianness", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Endianness", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Endianness", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let bitfield_be_to_n_slice (s: S.seq U8.t) (i: nat) (j: nat) : Lemma (requires ( Seq.length s > 0 /\ i <= j /\ j <= S.length s )) (ensures ( let len = S.length s in be_to_n s < pow2 (8 * len) /\ be_to_n (S.slice s i j) == BF.get_bitfield #(8 * len) (be_to_n s) (8 * (len - j)) (8 * (len - i)) )) = let len = S.length s in lemma_be_to_n_is_bounded s; slice_n_to_be_bitfield len (be_to_n s) i j
val bitfield_be_to_n_slice (s: S.seq U8.t) (i j: nat) : Lemma (requires (Seq.length s > 0 /\ i <= j /\ j <= S.length s)) (ensures (let len = S.length s in be_to_n s < pow2 (8 * len) /\ be_to_n (S.slice s i j) == BF.get_bitfield #(8 * len) (be_to_n s) (8 * (len - j)) (8 * (len - i)))) let bitfield_be_to_n_slice (s: S.seq U8.t) (i j: nat) : Lemma (requires (Seq.length s > 0 /\ i <= j /\ j <= S.length s)) (ensures (let len = S.length s in be_to_n s < pow2 (8 * len) /\ be_to_n (S.slice s i j) == BF.get_bitfield #(8 * len) (be_to_n s) (8 * (len - j)) (8 * (len - i)))) =
false
null
true
let len = S.length s in lemma_be_to_n_is_bounded s; slice_n_to_be_bitfield len (be_to_n s) i j
{ "checked_file": "LowParse.Endianness.BitFields.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Endianness.fsti.checked", "LowParse.BitFields.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "LowParse.Endianness.BitFields.fst" }
[ "lemma" ]
[ "FStar.Seq.Base.seq", "FStar.UInt8.t", "Prims.nat", "LowParse.Endianness.BitFields.slice_n_to_be_bitfield", "FStar.Endianness.be_to_n", "Prims.unit", "FStar.Endianness.lemma_be_to_n_is_bounded", "FStar.Seq.Base.length", "Prims.l_and", "Prims.b2t", "Prims.op_GreaterThan", "Prims.op_LessThanOrEqual", "Prims.squash", "Prims.op_LessThan", "Prims.pow2", "FStar.Mul.op_Star", "Prims.eq2", "Prims.int", "Prims.l_or", "Prims.op_GreaterThanOrEqual", "FStar.UInt.size", "Prims.op_Subtraction", "FStar.Seq.Base.slice", "LowParse.BitFields.get_bitfield", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Endianness.BitFields include LowParse.Endianness module BF = LowParse.BitFields module S = FStar.Seq open FStar.Mul let slice_n_to_be_bitfield (len: pos) (n: nat) (i j: nat) : Lemma (requires ( i <= j /\ j <= len /\ n < pow2 (8 * len) )) (ensures ( S.slice (n_to_be len n) i j == n_to_be (j - i) (BF.get_bitfield #(8 * len) n (8 * (len - j)) (8 * (len - i))) )) = slice_n_to_be len n i j; BF.get_bitfield_eq #(8 * len) n (8 * (len - j)) (8 * (len - i)) module U8 = FStar.UInt8 let bitfield_be_to_n_slice (s: S.seq U8.t) (i: nat) (j: nat) : Lemma (requires ( Seq.length s > 0 /\ i <= j /\ j <= S.length s )) (ensures ( let len = S.length s in be_to_n s < pow2 (8 * len) /\ be_to_n (S.slice s i j) == BF.get_bitfield #(8 * len) (be_to_n s) (8 * (len - j)) (8 * (len - i))
false
false
LowParse.Endianness.BitFields.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val bitfield_be_to_n_slice (s: S.seq U8.t) (i j: nat) : Lemma (requires (Seq.length s > 0 /\ i <= j /\ j <= S.length s)) (ensures (let len = S.length s in be_to_n s < pow2 (8 * len) /\ be_to_n (S.slice s i j) == BF.get_bitfield #(8 * len) (be_to_n s) (8 * (len - j)) (8 * (len - i))))
[]
LowParse.Endianness.BitFields.bitfield_be_to_n_slice
{ "file_name": "src/lowparse/LowParse.Endianness.BitFields.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
s: FStar.Seq.Base.seq FStar.UInt8.t -> i: Prims.nat -> j: Prims.nat -> FStar.Pervasives.Lemma (requires FStar.Seq.Base.length s > 0 /\ i <= j /\ j <= FStar.Seq.Base.length s) (ensures (let len = FStar.Seq.Base.length s in FStar.Endianness.be_to_n s < Prims.pow2 (8 * len) /\ FStar.Endianness.be_to_n (FStar.Seq.Base.slice s i j) == LowParse.BitFields.get_bitfield (FStar.Endianness.be_to_n s) (8 * (len - j)) (8 * (len - i))))
{ "end_col": 44, "end_line": 43, "start_col": 1, "start_line": 41 }
FStar.Pervasives.Lemma
val slice_n_to_be_bitfield (len: pos) (n i j: nat) : Lemma (requires (i <= j /\ j <= len /\ n < pow2 (8 * len))) (ensures (S.slice (n_to_be len n) i j == n_to_be (j - i) (BF.get_bitfield #(8 * len) n (8 * (len - j)) (8 * (len - i)))))
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": true, "full_module": "FStar.Seq", "short_module": "S" }, { "abbrev": true, "full_module": "LowParse.BitFields", "short_module": "BF" }, { "abbrev": false, "full_module": "LowParse.Endianness", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Endianness", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Endianness", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let slice_n_to_be_bitfield (len: pos) (n: nat) (i j: nat) : Lemma (requires ( i <= j /\ j <= len /\ n < pow2 (8 * len) )) (ensures ( S.slice (n_to_be len n) i j == n_to_be (j - i) (BF.get_bitfield #(8 * len) n (8 * (len - j)) (8 * (len - i))) )) = slice_n_to_be len n i j; BF.get_bitfield_eq #(8 * len) n (8 * (len - j)) (8 * (len - i))
val slice_n_to_be_bitfield (len: pos) (n i j: nat) : Lemma (requires (i <= j /\ j <= len /\ n < pow2 (8 * len))) (ensures (S.slice (n_to_be len n) i j == n_to_be (j - i) (BF.get_bitfield #(8 * len) n (8 * (len - j)) (8 * (len - i))))) let slice_n_to_be_bitfield (len: pos) (n i j: nat) : Lemma (requires (i <= j /\ j <= len /\ n < pow2 (8 * len))) (ensures (S.slice (n_to_be len n) i j == n_to_be (j - i) (BF.get_bitfield #(8 * len) n (8 * (len - j)) (8 * (len - i))))) =
false
null
true
slice_n_to_be len n i j; BF.get_bitfield_eq #(8 * len) n (8 * (len - j)) (8 * (len - i))
{ "checked_file": "LowParse.Endianness.BitFields.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Endianness.fsti.checked", "LowParse.BitFields.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "LowParse.Endianness.BitFields.fst" }
[ "lemma" ]
[ "Prims.pos", "Prims.nat", "LowParse.BitFields.get_bitfield_eq", "FStar.Mul.op_Star", "Prims.op_Subtraction", "Prims.unit", "LowParse.Endianness.slice_n_to_be", "Prims.l_and", "Prims.b2t", "Prims.op_LessThanOrEqual", "Prims.op_LessThan", "Prims.pow2", "Prims.squash", "Prims.eq2", "FStar.Seq.Base.seq", "FStar.UInt8.t", "FStar.Seq.Base.slice", "FStar.Endianness.n_to_be", "LowParse.BitFields.get_bitfield", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Endianness.BitFields include LowParse.Endianness module BF = LowParse.BitFields module S = FStar.Seq open FStar.Mul let slice_n_to_be_bitfield (len: pos) (n: nat) (i j: nat) : Lemma (requires ( i <= j /\ j <= len /\ n < pow2 (8 * len) )) (ensures ( S.slice (n_to_be len n) i j == n_to_be (j - i) (BF.get_bitfield #(8 * len) n (8 * (len - j)) (8 * (len - i)))
false
false
LowParse.Endianness.BitFields.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val slice_n_to_be_bitfield (len: pos) (n i j: nat) : Lemma (requires (i <= j /\ j <= len /\ n < pow2 (8 * len))) (ensures (S.slice (n_to_be len n) i j == n_to_be (j - i) (BF.get_bitfield #(8 * len) n (8 * (len - j)) (8 * (len - i)))))
[]
LowParse.Endianness.BitFields.slice_n_to_be_bitfield
{ "file_name": "src/lowparse/LowParse.Endianness.BitFields.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
len: Prims.pos -> n: Prims.nat -> i: Prims.nat -> j: Prims.nat -> FStar.Pervasives.Lemma (requires i <= j /\ j <= len /\ n < Prims.pow2 (8 * len)) (ensures FStar.Seq.Base.slice (FStar.Endianness.n_to_be len n) i j == FStar.Endianness.n_to_be (j - i) (LowParse.BitFields.get_bitfield n (8 * (len - j)) (8 * (len - i))))
{ "end_col": 65, "end_line": 23, "start_col": 2, "start_line": 22 }
Prims.Tot
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let a_pow2_192 (#t:Type) (k:SE.concrete_ops t) (a:t) = SE.exp_pow2 k (a_pow2_128 k a) 64
let a_pow2_192 (#t: Type) (k: SE.concrete_ops t) (a: t) =
false
null
false
SE.exp_pow2 k (a_pow2_128 k a) 64
{ "checked_file": "Hacl.Spec.PrecompBaseTable256.fsti.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.PrecompBaseTable256.fsti" }
[ "total" ]
[ "Spec.Exponentiation.concrete_ops", "Spec.Exponentiation.exp_pow2", "Hacl.Spec.PrecompBaseTable256.a_pow2_128" ]
[]
module Hacl.Spec.PrecompBaseTable256 open FStar.Mul open Lib.IntTypes module LSeq = Lib.Sequence module LE = Lib.Exponentiation module SE = Spec.Exponentiation module BD = Hacl.Spec.Bignum.Definitions #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" val lemma_mod_pow2_sub: x:nat -> a:nat -> b:nat -> Lemma (x / pow2 a % pow2 b * pow2 a == x % pow2 (a + b) - x % pow2 a) let decompose_nat256_as_four_u64 (x:nat{x < pow2 256}) = let x0 = x % pow2 64 in let x1 = x / pow2 64 % pow2 64 in let x2 = x / pow2 128 % pow2 64 in let x3 = x / pow2 192 % pow2 64 in (x0, x1, x2, x3) val lemma_decompose_nat256_as_four_u64: x:nat{x < pow2 256} -> Lemma (let (x0, x1, x2, x3) = decompose_nat256_as_four_u64 x in x0 + x1 * pow2 64 + x2 * pow2 128 + x3 * pow2 192 == x) // TODO?: define this function for any b let exp_as_exp_four_nat256_precomp (#t:Type) (k:LE.comm_monoid t) (a:t) (b:nat{b < pow2 256}) = let (b0, b1, b2, b3) = decompose_nat256_as_four_u64 b in let a_pow2_64 = LE.pow k a (pow2 64) in let a_pow2_128 = LE.pow k a (pow2 128) in let a_pow2_192 = LE.pow k a (pow2 192) in LE.exp_four_fw k a 64 b0 a_pow2_64 b1 a_pow2_128 b2 a_pow2_192 b3 4 val lemma_point_mul_base_precomp4: #t:Type -> k:LE.comm_monoid t -> a:t -> b:nat{b < pow2 256} -> Lemma (exp_as_exp_four_nat256_precomp k a b == LE.pow k a b) //--------------------------------------- // Loops.repeat b k.sqr a let rec exp_pow2_rec (#t:Type) (k:SE.concrete_ops t) (a:t) (b:nat) : Tot t (decreases b) = if b = 0 then a else k.sqr (exp_pow2_rec k a (b - 1)) val exp_pow2_rec_is_exp_pow2: #t:Type -> k:SE.concrete_ops t -> a:t -> b:nat -> Lemma (exp_pow2_rec k a b == SE.exp_pow2 k a b) let a_pow2_64 (#t:Type) (k:SE.concrete_ops t) (a:t) = SE.exp_pow2 k a 64 let a_pow2_128 (#t:Type) (k:SE.concrete_ops t) (a:t) = SE.exp_pow2 k (a_pow2_64 k a) 64
false
false
Hacl.Spec.PrecompBaseTable256.fsti
{ "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" }
null
val a_pow2_192 : k: Spec.Exponentiation.concrete_ops t -> a: t -> t
[]
Hacl.Spec.PrecompBaseTable256.a_pow2_192
{ "file_name": "code/bignum/Hacl.Spec.PrecompBaseTable256.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
k: Spec.Exponentiation.concrete_ops t -> a: t -> t
{ "end_col": 35, "end_line": 55, "start_col": 2, "start_line": 55 }
Prims.Tot
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let a_pow2_64 (#t:Type) (k:SE.concrete_ops t) (a:t) = SE.exp_pow2 k a 64
let a_pow2_64 (#t: Type) (k: SE.concrete_ops t) (a: t) =
false
null
false
SE.exp_pow2 k a 64
{ "checked_file": "Hacl.Spec.PrecompBaseTable256.fsti.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.PrecompBaseTable256.fsti" }
[ "total" ]
[ "Spec.Exponentiation.concrete_ops", "Spec.Exponentiation.exp_pow2" ]
[]
module Hacl.Spec.PrecompBaseTable256 open FStar.Mul open Lib.IntTypes module LSeq = Lib.Sequence module LE = Lib.Exponentiation module SE = Spec.Exponentiation module BD = Hacl.Spec.Bignum.Definitions #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" val lemma_mod_pow2_sub: x:nat -> a:nat -> b:nat -> Lemma (x / pow2 a % pow2 b * pow2 a == x % pow2 (a + b) - x % pow2 a) let decompose_nat256_as_four_u64 (x:nat{x < pow2 256}) = let x0 = x % pow2 64 in let x1 = x / pow2 64 % pow2 64 in let x2 = x / pow2 128 % pow2 64 in let x3 = x / pow2 192 % pow2 64 in (x0, x1, x2, x3) val lemma_decompose_nat256_as_four_u64: x:nat{x < pow2 256} -> Lemma (let (x0, x1, x2, x3) = decompose_nat256_as_four_u64 x in x0 + x1 * pow2 64 + x2 * pow2 128 + x3 * pow2 192 == x) // TODO?: define this function for any b let exp_as_exp_four_nat256_precomp (#t:Type) (k:LE.comm_monoid t) (a:t) (b:nat{b < pow2 256}) = let (b0, b1, b2, b3) = decompose_nat256_as_four_u64 b in let a_pow2_64 = LE.pow k a (pow2 64) in let a_pow2_128 = LE.pow k a (pow2 128) in let a_pow2_192 = LE.pow k a (pow2 192) in LE.exp_four_fw k a 64 b0 a_pow2_64 b1 a_pow2_128 b2 a_pow2_192 b3 4 val lemma_point_mul_base_precomp4: #t:Type -> k:LE.comm_monoid t -> a:t -> b:nat{b < pow2 256} -> Lemma (exp_as_exp_four_nat256_precomp k a b == LE.pow k a b) //--------------------------------------- // Loops.repeat b k.sqr a let rec exp_pow2_rec (#t:Type) (k:SE.concrete_ops t) (a:t) (b:nat) : Tot t (decreases b) = if b = 0 then a else k.sqr (exp_pow2_rec k a (b - 1)) val exp_pow2_rec_is_exp_pow2: #t:Type -> k:SE.concrete_ops t -> a:t -> b:nat -> Lemma (exp_pow2_rec k a b == SE.exp_pow2 k a b)
false
false
Hacl.Spec.PrecompBaseTable256.fsti
{ "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" }
null
val a_pow2_64 : k: Spec.Exponentiation.concrete_ops t -> a: t -> t
[]
Hacl.Spec.PrecompBaseTable256.a_pow2_64
{ "file_name": "code/bignum/Hacl.Spec.PrecompBaseTable256.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
k: Spec.Exponentiation.concrete_ops t -> a: t -> t
{ "end_col": 20, "end_line": 49, "start_col": 2, "start_line": 49 }
Prims.Tot
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let a_pow2_128 (#t:Type) (k:SE.concrete_ops t) (a:t) = SE.exp_pow2 k (a_pow2_64 k a) 64
let a_pow2_128 (#t: Type) (k: SE.concrete_ops t) (a: t) =
false
null
false
SE.exp_pow2 k (a_pow2_64 k a) 64
{ "checked_file": "Hacl.Spec.PrecompBaseTable256.fsti.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.PrecompBaseTable256.fsti" }
[ "total" ]
[ "Spec.Exponentiation.concrete_ops", "Spec.Exponentiation.exp_pow2", "Hacl.Spec.PrecompBaseTable256.a_pow2_64" ]
[]
module Hacl.Spec.PrecompBaseTable256 open FStar.Mul open Lib.IntTypes module LSeq = Lib.Sequence module LE = Lib.Exponentiation module SE = Spec.Exponentiation module BD = Hacl.Spec.Bignum.Definitions #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" val lemma_mod_pow2_sub: x:nat -> a:nat -> b:nat -> Lemma (x / pow2 a % pow2 b * pow2 a == x % pow2 (a + b) - x % pow2 a) let decompose_nat256_as_four_u64 (x:nat{x < pow2 256}) = let x0 = x % pow2 64 in let x1 = x / pow2 64 % pow2 64 in let x2 = x / pow2 128 % pow2 64 in let x3 = x / pow2 192 % pow2 64 in (x0, x1, x2, x3) val lemma_decompose_nat256_as_four_u64: x:nat{x < pow2 256} -> Lemma (let (x0, x1, x2, x3) = decompose_nat256_as_four_u64 x in x0 + x1 * pow2 64 + x2 * pow2 128 + x3 * pow2 192 == x) // TODO?: define this function for any b let exp_as_exp_four_nat256_precomp (#t:Type) (k:LE.comm_monoid t) (a:t) (b:nat{b < pow2 256}) = let (b0, b1, b2, b3) = decompose_nat256_as_four_u64 b in let a_pow2_64 = LE.pow k a (pow2 64) in let a_pow2_128 = LE.pow k a (pow2 128) in let a_pow2_192 = LE.pow k a (pow2 192) in LE.exp_four_fw k a 64 b0 a_pow2_64 b1 a_pow2_128 b2 a_pow2_192 b3 4 val lemma_point_mul_base_precomp4: #t:Type -> k:LE.comm_monoid t -> a:t -> b:nat{b < pow2 256} -> Lemma (exp_as_exp_four_nat256_precomp k a b == LE.pow k a b) //--------------------------------------- // Loops.repeat b k.sqr a let rec exp_pow2_rec (#t:Type) (k:SE.concrete_ops t) (a:t) (b:nat) : Tot t (decreases b) = if b = 0 then a else k.sqr (exp_pow2_rec k a (b - 1)) val exp_pow2_rec_is_exp_pow2: #t:Type -> k:SE.concrete_ops t -> a:t -> b:nat -> Lemma (exp_pow2_rec k a b == SE.exp_pow2 k a b) let a_pow2_64 (#t:Type) (k:SE.concrete_ops t) (a:t) = SE.exp_pow2 k a 64
false
false
Hacl.Spec.PrecompBaseTable256.fsti
{ "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" }
null
val a_pow2_128 : k: Spec.Exponentiation.concrete_ops t -> a: t -> t
[]
Hacl.Spec.PrecompBaseTable256.a_pow2_128
{ "file_name": "code/bignum/Hacl.Spec.PrecompBaseTable256.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
k: Spec.Exponentiation.concrete_ops t -> a: t -> t
{ "end_col": 34, "end_line": 52, "start_col": 2, "start_line": 52 }
Prims.Tot
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let exp_as_exp_four_nat256_precomp (#t:Type) (k:LE.comm_monoid t) (a:t) (b:nat{b < pow2 256}) = let (b0, b1, b2, b3) = decompose_nat256_as_four_u64 b in let a_pow2_64 = LE.pow k a (pow2 64) in let a_pow2_128 = LE.pow k a (pow2 128) in let a_pow2_192 = LE.pow k a (pow2 192) in LE.exp_four_fw k a 64 b0 a_pow2_64 b1 a_pow2_128 b2 a_pow2_192 b3 4
let exp_as_exp_four_nat256_precomp (#t: Type) (k: LE.comm_monoid t) (a: t) (b: nat{b < pow2 256}) =
false
null
false
let b0, b1, b2, b3 = decompose_nat256_as_four_u64 b in let a_pow2_64 = LE.pow k a (pow2 64) in let a_pow2_128 = LE.pow k a (pow2 128) in let a_pow2_192 = LE.pow k a (pow2 192) in LE.exp_four_fw k a 64 b0 a_pow2_64 b1 a_pow2_128 b2 a_pow2_192 b3 4
{ "checked_file": "Hacl.Spec.PrecompBaseTable256.fsti.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.PrecompBaseTable256.fsti" }
[ "total" ]
[ "Lib.Exponentiation.Definition.comm_monoid", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "Prims.pow2", "Prims.int", "Lib.Exponentiation.exp_four_fw", "Lib.Exponentiation.Definition.pow", "FStar.Pervasives.Native.tuple4", "Hacl.Spec.PrecompBaseTable256.decompose_nat256_as_four_u64" ]
[]
module Hacl.Spec.PrecompBaseTable256 open FStar.Mul open Lib.IntTypes module LSeq = Lib.Sequence module LE = Lib.Exponentiation module SE = Spec.Exponentiation module BD = Hacl.Spec.Bignum.Definitions #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" val lemma_mod_pow2_sub: x:nat -> a:nat -> b:nat -> Lemma (x / pow2 a % pow2 b * pow2 a == x % pow2 (a + b) - x % pow2 a) let decompose_nat256_as_four_u64 (x:nat{x < pow2 256}) = let x0 = x % pow2 64 in let x1 = x / pow2 64 % pow2 64 in let x2 = x / pow2 128 % pow2 64 in let x3 = x / pow2 192 % pow2 64 in (x0, x1, x2, x3) val lemma_decompose_nat256_as_four_u64: x:nat{x < pow2 256} -> Lemma (let (x0, x1, x2, x3) = decompose_nat256_as_four_u64 x in x0 + x1 * pow2 64 + x2 * pow2 128 + x3 * pow2 192 == x)
false
false
Hacl.Spec.PrecompBaseTable256.fsti
{ "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" }
null
val exp_as_exp_four_nat256_precomp : k: Lib.Exponentiation.Definition.comm_monoid t -> a: t -> b: Prims.nat{b < Prims.pow2 256} -> t
[]
Hacl.Spec.PrecompBaseTable256.exp_as_exp_four_nat256_precomp
{ "file_name": "code/bignum/Hacl.Spec.PrecompBaseTable256.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
k: Lib.Exponentiation.Definition.comm_monoid t -> a: t -> b: Prims.nat{b < Prims.pow2 256} -> t
{ "end_col": 69, "end_line": 33, "start_col": 95, "start_line": 28 }
Prims.Tot
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let decompose_nat256_as_four_u64 (x:nat{x < pow2 256}) = let x0 = x % pow2 64 in let x1 = x / pow2 64 % pow2 64 in let x2 = x / pow2 128 % pow2 64 in let x3 = x / pow2 192 % pow2 64 in (x0, x1, x2, x3)
let decompose_nat256_as_four_u64 (x: nat{x < pow2 256}) =
false
null
false
let x0 = x % pow2 64 in let x1 = x / pow2 64 % pow2 64 in let x2 = x / pow2 128 % pow2 64 in let x3 = x / pow2 192 % pow2 64 in (x0, x1, x2, x3)
{ "checked_file": "Hacl.Spec.PrecompBaseTable256.fsti.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.PrecompBaseTable256.fsti" }
[ "total" ]
[ "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "Prims.pow2", "FStar.Pervasives.Native.Mktuple4", "Prims.int", "Prims.op_Modulus", "Prims.op_Division", "FStar.Pervasives.Native.tuple4" ]
[]
module Hacl.Spec.PrecompBaseTable256 open FStar.Mul open Lib.IntTypes module LSeq = Lib.Sequence module LE = Lib.Exponentiation module SE = Spec.Exponentiation module BD = Hacl.Spec.Bignum.Definitions #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" val lemma_mod_pow2_sub: x:nat -> a:nat -> b:nat -> Lemma (x / pow2 a % pow2 b * pow2 a == x % pow2 (a + b) - x % pow2 a)
false
false
Hacl.Spec.PrecompBaseTable256.fsti
{ "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" }
null
val decompose_nat256_as_four_u64 : x: Prims.nat{x < Prims.pow2 256} -> ((Prims.int * Prims.int) * Prims.int) * Prims.int
[]
Hacl.Spec.PrecompBaseTable256.decompose_nat256_as_four_u64
{ "file_name": "code/bignum/Hacl.Spec.PrecompBaseTable256.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
x: Prims.nat{x < Prims.pow2 256} -> ((Prims.int * Prims.int) * Prims.int) * Prims.int
{ "end_col": 18, "end_line": 21, "start_col": 56, "start_line": 16 }
Prims.Tot
val exp_pow2_rec (#t: Type) (k: SE.concrete_ops t) (a: t) (b: nat) : Tot t (decreases b)
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec exp_pow2_rec (#t:Type) (k:SE.concrete_ops t) (a:t) (b:nat) : Tot t (decreases b) = if b = 0 then a else k.sqr (exp_pow2_rec k a (b - 1))
val exp_pow2_rec (#t: Type) (k: SE.concrete_ops t) (a: t) (b: nat) : Tot t (decreases b) let rec exp_pow2_rec (#t: Type) (k: SE.concrete_ops t) (a: t) (b: nat) : Tot t (decreases b) =
false
null
false
if b = 0 then a else k.sqr (exp_pow2_rec k a (b - 1))
{ "checked_file": "Hacl.Spec.PrecompBaseTable256.fsti.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.PrecompBaseTable256.fsti" }
[ "total", "" ]
[ "Spec.Exponentiation.concrete_ops", "Prims.nat", "Prims.op_Equality", "Prims.int", "Prims.bool", "Spec.Exponentiation.__proj__Mkconcrete_ops__item__sqr", "Hacl.Spec.PrecompBaseTable256.exp_pow2_rec", "Prims.op_Subtraction" ]
[]
module Hacl.Spec.PrecompBaseTable256 open FStar.Mul open Lib.IntTypes module LSeq = Lib.Sequence module LE = Lib.Exponentiation module SE = Spec.Exponentiation module BD = Hacl.Spec.Bignum.Definitions #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" val lemma_mod_pow2_sub: x:nat -> a:nat -> b:nat -> Lemma (x / pow2 a % pow2 b * pow2 a == x % pow2 (a + b) - x % pow2 a) let decompose_nat256_as_four_u64 (x:nat{x < pow2 256}) = let x0 = x % pow2 64 in let x1 = x / pow2 64 % pow2 64 in let x2 = x / pow2 128 % pow2 64 in let x3 = x / pow2 192 % pow2 64 in (x0, x1, x2, x3) val lemma_decompose_nat256_as_four_u64: x:nat{x < pow2 256} -> Lemma (let (x0, x1, x2, x3) = decompose_nat256_as_four_u64 x in x0 + x1 * pow2 64 + x2 * pow2 128 + x3 * pow2 192 == x) // TODO?: define this function for any b let exp_as_exp_four_nat256_precomp (#t:Type) (k:LE.comm_monoid t) (a:t) (b:nat{b < pow2 256}) = let (b0, b1, b2, b3) = decompose_nat256_as_four_u64 b in let a_pow2_64 = LE.pow k a (pow2 64) in let a_pow2_128 = LE.pow k a (pow2 128) in let a_pow2_192 = LE.pow k a (pow2 192) in LE.exp_four_fw k a 64 b0 a_pow2_64 b1 a_pow2_128 b2 a_pow2_192 b3 4 val lemma_point_mul_base_precomp4: #t:Type -> k:LE.comm_monoid t -> a:t -> b:nat{b < pow2 256} -> Lemma (exp_as_exp_four_nat256_precomp k a b == LE.pow k a b) //--------------------------------------- // Loops.repeat b k.sqr a
false
false
Hacl.Spec.PrecompBaseTable256.fsti
{ "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" }
null
val exp_pow2_rec (#t: Type) (k: SE.concrete_ops t) (a: t) (b: nat) : Tot t (decreases b)
[ "recursion" ]
Hacl.Spec.PrecompBaseTable256.exp_pow2_rec
{ "file_name": "code/bignum/Hacl.Spec.PrecompBaseTable256.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
k: Spec.Exponentiation.concrete_ops t -> a: t -> b: Prims.nat -> Prims.Tot t
{ "end_col": 55, "end_line": 42, "start_col": 2, "start_line": 42 }
Prims.Tot
val va_wp_Check_sha_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
val va_wp_Check_sha_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Check_sha_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (forall (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_r9: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.l_not", "Prims.eq2", "Prims.int", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.CPU_Features_s.sha_enabled", "Vale.Def.Types_s.nat64", "Vale.X64.Machine_s.rRbx", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr]
false
true
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Check_sha_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Lib.X64.Cpuid.va_wp_Check_sha_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 92, "end_line": 77, "start_col": 2, "start_line": 73 }
Prims.Tot
val va_wp_Check_aesni_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
val va_wp_Check_aesni_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Check_aesni_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (forall (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_r9: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.l_not", "Prims.eq2", "Prims.int", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.CPU_Features_s.aesni_enabled", "Vale.X64.CPU_Features_s.pclmulqdq_enabled", "Vale.Def.Types_s.nat64", "Vale.X64.Machine_s.rRbx", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr]
false
true
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Check_aesni_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Lib.X64.Cpuid.va_wp_Check_aesni_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 21, "end_line": 43, "start_col": 2, "start_line": 38 }
Prims.Tot
val va_wp_Check_adx_bmi2_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
val va_wp_Check_adx_bmi2_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Check_adx_bmi2_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (forall (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_r9: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.l_not", "Prims.eq2", "Prims.int", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.CPU_Features_s.adx_enabled", "Vale.X64.CPU_Features_s.bmi2_enabled", "Vale.Def.Types_s.nat64", "Vale.X64.Machine_s.rRbx", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr]
false
true
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Check_adx_bmi2_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Lib.X64.Cpuid.va_wp_Check_adx_bmi2_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 16, "end_line": 112, "start_col": 2, "start_line": 107 }
Prims.Tot
val va_wp_Check_avx_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
val va_wp_Check_avx_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Check_avx_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (forall (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_r9: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.l_not", "Prims.eq2", "Prims.int", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.CPU_Features_s.avx_cpuid_enabled", "Vale.Def.Types_s.nat64", "Vale.X64.Machine_s.rRbx", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr]
false
true
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Check_avx_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Lib.X64.Cpuid.va_wp_Check_avx_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 98, "end_line": 146, "start_col": 2, "start_line": 142 }
Prims.Tot
val va_wp_Check_movbe_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Check_movbe_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
val va_wp_Check_movbe_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Check_movbe_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (forall (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_r9: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.l_not", "Prims.eq2", "Prims.int", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.CPU_Features_s.movbe_enabled", "Vale.Def.Types_s.nat64", "Vale.X64.Machine_s.rRbx", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support) //-- //-- Check_movbe_support val va_code_Check_movbe_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_movbe_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_movbe_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_movbe_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr]
false
true
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Check_movbe_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Lib.X64.Cpuid.va_wp_Check_movbe_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 94, "end_line": 214, "start_col": 2, "start_line": 210 }
Prims.Tot
val va_wp_Check_avx2_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
val va_wp_Check_avx2_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Check_avx2_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (forall (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_r9: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.l_not", "Prims.eq2", "Prims.int", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.CPU_Features_s.avx2_cpuid_enabled", "Vale.Def.Types_s.nat64", "Vale.X64.Machine_s.rRbx", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr]
false
true
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Check_avx2_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Lib.X64.Cpuid.va_wp_Check_avx2_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 99, "end_line": 180, "start_col": 2, "start_line": 176 }
Prims.Tot
val va_wp_Check_rdrand_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Check_rdrand_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
val va_wp_Check_rdrand_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Check_rdrand_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (forall (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_r9: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.l_not", "Prims.eq2", "Prims.int", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.CPU_Features_s.rdrand_enabled", "Vale.Def.Types_s.nat64", "Vale.X64.Machine_s.rRbx", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support) //-- //-- Check_movbe_support val va_code_Check_movbe_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_movbe_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_movbe_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_movbe_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_movbe_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_movbe_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_movbe_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_movbe_support () : (va_quickCode unit (va_code_Check_movbe_support ())) = (va_QProc (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_movbe_support va_wpProof_Check_movbe_support) //-- //-- Check_sse_support val va_code_Check_sse_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sse_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sse_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sse_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sse_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sse_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sse_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sse_support () : (va_quickCode unit (va_code_Check_sse_support ())) = (va_QProc (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sse_support va_wpProof_Check_sse_support) //-- //-- Check_rdrand_support val va_code_Check_rdrand_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_rdrand_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_rdrand_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_rdrand_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr]
false
true
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Check_rdrand_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Lib.X64.Cpuid.va_wp_Check_rdrand_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 95, "end_line": 282, "start_col": 2, "start_line": 278 }
Prims.Tot
val va_wp_Check_sse_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Check_sse_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
val va_wp_Check_sse_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Check_sse_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (forall (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_r9: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.l_not", "Prims.eq2", "Prims.int", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.CPU_Features_s.sse_enabled", "Vale.Def.Types_s.nat64", "Vale.X64.Machine_s.rRbx", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support) //-- //-- Check_movbe_support val va_code_Check_movbe_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_movbe_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_movbe_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_movbe_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_movbe_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_movbe_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_movbe_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_movbe_support () : (va_quickCode unit (va_code_Check_movbe_support ())) = (va_QProc (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_movbe_support va_wpProof_Check_movbe_support) //-- //-- Check_sse_support val va_code_Check_sse_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sse_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sse_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sse_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr]
false
true
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Check_sse_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Lib.X64.Cpuid.va_wp_Check_sse_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 92, "end_line": 248, "start_col": 2, "start_line": 244 }
Prims.Tot
val va_wp_Check_avx512_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Check_avx512_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
val va_wp_Check_avx512_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Check_avx512_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (forall (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_r9: nat64) (va_x_r10: nat64) (va_x_r11: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.l_not", "Prims.eq2", "Prims.int", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.CPU_Features_s.avx512_cpuid_enabled", "Vale.Def.Types_s.nat64", "Vale.X64.Machine_s.rRbx", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support) //-- //-- Check_movbe_support val va_code_Check_movbe_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_movbe_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_movbe_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_movbe_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_movbe_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_movbe_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_movbe_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_movbe_support () : (va_quickCode unit (va_code_Check_movbe_support ())) = (va_QProc (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_movbe_support va_wpProof_Check_movbe_support) //-- //-- Check_sse_support val va_code_Check_sse_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sse_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sse_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sse_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sse_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sse_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sse_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sse_support () : (va_quickCode unit (va_code_Check_sse_support ())) = (va_QProc (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sse_support va_wpProof_Check_sse_support) //-- //-- Check_rdrand_support val va_code_Check_rdrand_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_rdrand_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_rdrand_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_rdrand_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_rdrand_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_rdrand_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_rdrand_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_rdrand_support () : (va_quickCode unit (va_code_Check_rdrand_support ())) = (va_QProc (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_rdrand_support va_wpProof_Check_rdrand_support) //-- //-- Check_avx512_support val va_code_Check_avx512_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx512_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx512_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx512_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))) [@ va_qattr]
false
true
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Check_avx512_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Lib.X64.Cpuid.va_wp_Check_avx512_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 10, "end_line": 319, "start_col": 2, "start_line": 313 }
Prims.Tot
val va_wp_Check_osxsave_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Check_osxsave_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> osxsave_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
val va_wp_Check_osxsave_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Check_osxsave_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ (forall (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_r9: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> osxsave_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (())))
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.l_not", "Prims.eq2", "Prims.int", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.CPU_Features_s.osxsave_enabled", "Vale.Def.Types_s.nat64", "Vale.X64.Machine_s.rRbx", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support) //-- //-- Check_movbe_support val va_code_Check_movbe_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_movbe_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_movbe_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_movbe_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_movbe_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_movbe_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_movbe_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_movbe_support () : (va_quickCode unit (va_code_Check_movbe_support ())) = (va_QProc (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_movbe_support va_wpProof_Check_movbe_support) //-- //-- Check_sse_support val va_code_Check_sse_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sse_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sse_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sse_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sse_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sse_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sse_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sse_support () : (va_quickCode unit (va_code_Check_sse_support ())) = (va_QProc (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sse_support va_wpProof_Check_sse_support) //-- //-- Check_rdrand_support val va_code_Check_rdrand_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_rdrand_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_rdrand_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_rdrand_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_rdrand_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_rdrand_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_rdrand_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_rdrand_support () : (va_quickCode unit (va_code_Check_rdrand_support ())) = (va_QProc (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_rdrand_support va_wpProof_Check_rdrand_support) //-- //-- Check_avx512_support val va_code_Check_avx512_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx512_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx512_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx512_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))) [@ va_qattr] let va_wp_Check_avx512_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx512_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx512_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx512_support ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx512_support () : (va_quickCode unit (va_code_Check_avx512_support ())) = (va_QProc (va_code_Check_avx512_support ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx512_support va_wpProof_Check_avx512_support) //-- //-- Check_osxsave_support val va_code_Check_osxsave_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_osxsave_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_osxsave_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_osxsave_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> osxsave_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr]
false
true
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Check_osxsave_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Lib.X64.Cpuid.va_wp_Check_osxsave_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 96, "end_line": 353, "start_col": 2, "start_line": 349 }
Prims.Tot
val va_wp_Check_avx_xcr0_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Check_avx_xcr0_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ osxsave_enabled /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_xcr0) ==> va_k va_sM (())))
val va_wp_Check_avx_xcr0_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Check_avx_xcr0_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ osxsave_enabled /\ (forall (va_x_rax: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_xcr0) ==> va_k va_sM (())))
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.X64.CPU_Features_s.osxsave_enabled", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.l_not", "Prims.eq2", "Prims.int", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.CPU_Features_s.avx_xcr0", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support) //-- //-- Check_movbe_support val va_code_Check_movbe_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_movbe_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_movbe_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_movbe_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_movbe_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_movbe_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_movbe_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_movbe_support () : (va_quickCode unit (va_code_Check_movbe_support ())) = (va_QProc (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_movbe_support va_wpProof_Check_movbe_support) //-- //-- Check_sse_support val va_code_Check_sse_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sse_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sse_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sse_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sse_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sse_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sse_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sse_support () : (va_quickCode unit (va_code_Check_sse_support ())) = (va_QProc (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sse_support va_wpProof_Check_sse_support) //-- //-- Check_rdrand_support val va_code_Check_rdrand_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_rdrand_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_rdrand_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_rdrand_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_rdrand_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_rdrand_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_rdrand_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_rdrand_support () : (va_quickCode unit (va_code_Check_rdrand_support ())) = (va_QProc (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_rdrand_support va_wpProof_Check_rdrand_support) //-- //-- Check_avx512_support val va_code_Check_avx512_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx512_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx512_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx512_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))) [@ va_qattr] let va_wp_Check_avx512_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx512_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx512_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx512_support ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx512_support () : (va_quickCode unit (va_code_Check_avx512_support ())) = (va_QProc (va_code_Check_avx512_support ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx512_support va_wpProof_Check_avx512_support) //-- //-- Check_osxsave_support val va_code_Check_osxsave_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_osxsave_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_osxsave_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_osxsave_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> osxsave_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_osxsave_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> osxsave_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_osxsave_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_osxsave_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_osxsave_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_osxsave_support () : (va_quickCode unit (va_code_Check_osxsave_support ())) = (va_QProc (va_code_Check_osxsave_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_osxsave_support va_wpProof_Check_osxsave_support) //-- //-- Check_avx_xcr0_support val va_code_Check_avx_xcr0_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_xcr0_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_xcr0_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_xcr0_support ()) va_s0 /\ va_get_ok va_s0 /\ osxsave_enabled)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_xcr0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) [@ va_qattr]
false
true
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Check_avx_xcr0_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Lib.X64.Cpuid.va_wp_Check_avx_xcr0_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 70, "end_line": 386, "start_col": 2, "start_line": 383 }
Prims.Tot
val va_wp_Check_avx512_xcr0_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wp_Check_avx512_xcr0_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ osxsave_enabled /\ avx_xcr0 /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_xcr0) ==> va_k va_sM (())))
val va_wp_Check_avx512_xcr0_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 let va_wp_Check_avx512_xcr0_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
false
null
false
(va_get_ok va_s0 /\ osxsave_enabled /\ avx_xcr0 /\ (forall (va_x_rax: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_efl: Vale.X64.Flags.t). let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_xcr0) ==> va_k va_sM (())))
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.X64.CPU_Features_s.osxsave_enabled", "Vale.X64.CPU_Features_s.avx_xcr0", "Prims.l_Forall", "Vale.X64.Memory.nat64", "Vale.X64.Flags.t", "Prims.l_imp", "Prims.l_not", "Prims.eq2", "Prims.int", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.CPU_Features_s.avx512_xcr0", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support) //-- //-- Check_movbe_support val va_code_Check_movbe_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_movbe_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_movbe_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_movbe_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_movbe_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_movbe_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_movbe_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_movbe_support () : (va_quickCode unit (va_code_Check_movbe_support ())) = (va_QProc (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_movbe_support va_wpProof_Check_movbe_support) //-- //-- Check_sse_support val va_code_Check_sse_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sse_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sse_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sse_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sse_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sse_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sse_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sse_support () : (va_quickCode unit (va_code_Check_sse_support ())) = (va_QProc (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sse_support va_wpProof_Check_sse_support) //-- //-- Check_rdrand_support val va_code_Check_rdrand_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_rdrand_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_rdrand_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_rdrand_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_rdrand_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_rdrand_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_rdrand_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_rdrand_support () : (va_quickCode unit (va_code_Check_rdrand_support ())) = (va_QProc (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_rdrand_support va_wpProof_Check_rdrand_support) //-- //-- Check_avx512_support val va_code_Check_avx512_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx512_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx512_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx512_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))) [@ va_qattr] let va_wp_Check_avx512_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx512_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx512_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx512_support ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx512_support () : (va_quickCode unit (va_code_Check_avx512_support ())) = (va_QProc (va_code_Check_avx512_support ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx512_support va_wpProof_Check_avx512_support) //-- //-- Check_osxsave_support val va_code_Check_osxsave_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_osxsave_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_osxsave_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_osxsave_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> osxsave_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_osxsave_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> osxsave_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_osxsave_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_osxsave_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_osxsave_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_osxsave_support () : (va_quickCode unit (va_code_Check_osxsave_support ())) = (va_QProc (va_code_Check_osxsave_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_osxsave_support va_wpProof_Check_osxsave_support) //-- //-- Check_avx_xcr0_support val va_code_Check_avx_xcr0_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_xcr0_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_xcr0_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_xcr0_support ()) va_s0 /\ va_get_ok va_s0 /\ osxsave_enabled)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_xcr0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) [@ va_qattr] let va_wp_Check_avx_xcr0_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ osxsave_enabled /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_xcr0) ==> va_k va_sM (()))) val va_wpProof_Check_avx_xcr0_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_xcr0_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_xcr0_support ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_xcr0_support () : (va_quickCode unit (va_code_Check_avx_xcr0_support ())) = (va_QProc (va_code_Check_avx_xcr0_support ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Check_avx_xcr0_support va_wpProof_Check_avx_xcr0_support) //-- //-- Check_avx512_xcr0_support val va_code_Check_avx512_xcr0_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx512_xcr0_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx512_xcr0_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx512_xcr0_support ()) va_s0 /\ va_get_ok va_s0 /\ osxsave_enabled /\ avx_xcr0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_xcr0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) [@ va_qattr]
false
true
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wp_Check_avx512_xcr0_support (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
[]
Vale.Lib.X64.Cpuid.va_wp_Check_avx512_xcr0_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
{ "end_col": 82, "end_line": 418, "start_col": 2, "start_line": 415 }
Prims.Tot
val va_quick_Check_aesni_support: Prims.unit -> (va_quickCode unit (va_code_Check_aesni_support ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support)
val va_quick_Check_aesni_support: Prims.unit -> (va_quickCode unit (va_code_Check_aesni_support ())) let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) =
false
null
false
(va_QProc (va_code_Check_aesni_support ()) ([ va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax ]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support)
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Prims.unit", "Vale.X64.QuickCode.va_QProc", "Vale.Lib.X64.Cpuid.va_code_Check_aesni_support", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Lib.X64.Cpuid.va_wp_Check_aesni_support", "Vale.Lib.X64.Cpuid.va_wpProof_Check_aesni_support", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr]
false
false
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Check_aesni_support: Prims.unit -> (va_quickCode unit (va_code_Check_aesni_support ()))
[]
Vale.Lib.X64.Cpuid.va_quick_Check_aesni_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Lib.X64.Cpuid.va_code_Check_aesni_support ())
{ "end_col": 35, "end_line": 55, "start_col": 2, "start_line": 53 }
Prims.Tot
val va_quick_Check_sha_support: Prims.unit -> (va_quickCode unit (va_code_Check_sha_support ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support)
val va_quick_Check_sha_support: Prims.unit -> (va_quickCode unit (va_code_Check_sha_support ())) let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) =
false
null
false
(va_QProc (va_code_Check_sha_support ()) ([ va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax ]) va_wp_Check_sha_support va_wpProof_Check_sha_support)
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Prims.unit", "Vale.X64.QuickCode.va_QProc", "Vale.Lib.X64.Cpuid.va_code_Check_sha_support", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Lib.X64.Cpuid.va_wp_Check_sha_support", "Vale.Lib.X64.Cpuid.va_wpProof_Check_sha_support", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr]
false
false
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Check_sha_support: Prims.unit -> (va_quickCode unit (va_code_Check_sha_support ()))
[]
Vale.Lib.X64.Cpuid.va_quick_Check_sha_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Lib.X64.Cpuid.va_code_Check_sha_support ())
{ "end_col": 33, "end_line": 89, "start_col": 2, "start_line": 87 }
Prims.Tot
val va_quick_Check_avx_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx_support ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support)
val va_quick_Check_avx_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx_support ())) let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) =
false
null
false
(va_QProc (va_code_Check_avx_support ()) ([ va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax ]) va_wp_Check_avx_support va_wpProof_Check_avx_support)
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Prims.unit", "Vale.X64.QuickCode.va_QProc", "Vale.Lib.X64.Cpuid.va_code_Check_avx_support", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Lib.X64.Cpuid.va_wp_Check_avx_support", "Vale.Lib.X64.Cpuid.va_wpProof_Check_avx_support", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr]
false
false
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Check_avx_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx_support ()))
[]
Vale.Lib.X64.Cpuid.va_quick_Check_avx_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Lib.X64.Cpuid.va_code_Check_avx_support ())
{ "end_col": 33, "end_line": 158, "start_col": 2, "start_line": 156 }
Prims.Tot
val va_quick_Check_adx_bmi2_support: Prims.unit -> (va_quickCode unit (va_code_Check_adx_bmi2_support ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support)
val va_quick_Check_adx_bmi2_support: Prims.unit -> (va_quickCode unit (va_code_Check_adx_bmi2_support ())) let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) =
false
null
false
(va_QProc (va_code_Check_adx_bmi2_support ()) ([ va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax ]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support)
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Prims.unit", "Vale.X64.QuickCode.va_QProc", "Vale.Lib.X64.Cpuid.va_code_Check_adx_bmi2_support", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Lib.X64.Cpuid.va_wp_Check_adx_bmi2_support", "Vale.Lib.X64.Cpuid.va_wpProof_Check_adx_bmi2_support", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr]
false
false
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Check_adx_bmi2_support: Prims.unit -> (va_quickCode unit (va_code_Check_adx_bmi2_support ()))
[]
Vale.Lib.X64.Cpuid.va_quick_Check_adx_bmi2_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Lib.X64.Cpuid.va_code_Check_adx_bmi2_support ())
{ "end_col": 38, "end_line": 124, "start_col": 2, "start_line": 122 }
Prims.Tot
val va_quick_Check_avx2_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx2_support ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support)
val va_quick_Check_avx2_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx2_support ())) let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) =
false
null
false
(va_QProc (va_code_Check_avx2_support ()) ([ va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax ]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support)
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Prims.unit", "Vale.X64.QuickCode.va_QProc", "Vale.Lib.X64.Cpuid.va_code_Check_avx2_support", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Lib.X64.Cpuid.va_wp_Check_avx2_support", "Vale.Lib.X64.Cpuid.va_wpProof_Check_avx2_support", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr]
false
false
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Check_avx2_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx2_support ()))
[]
Vale.Lib.X64.Cpuid.va_quick_Check_avx2_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Lib.X64.Cpuid.va_code_Check_avx2_support ())
{ "end_col": 34, "end_line": 192, "start_col": 2, "start_line": 190 }
Prims.Tot
val va_quick_Check_sse_support: Prims.unit -> (va_quickCode unit (va_code_Check_sse_support ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Check_sse_support () : (va_quickCode unit (va_code_Check_sse_support ())) = (va_QProc (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sse_support va_wpProof_Check_sse_support)
val va_quick_Check_sse_support: Prims.unit -> (va_quickCode unit (va_code_Check_sse_support ())) let va_quick_Check_sse_support () : (va_quickCode unit (va_code_Check_sse_support ())) =
false
null
false
(va_QProc (va_code_Check_sse_support ()) ([ va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax ]) va_wp_Check_sse_support va_wpProof_Check_sse_support)
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Prims.unit", "Vale.X64.QuickCode.va_QProc", "Vale.Lib.X64.Cpuid.va_code_Check_sse_support", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Lib.X64.Cpuid.va_wp_Check_sse_support", "Vale.Lib.X64.Cpuid.va_wpProof_Check_sse_support", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support) //-- //-- Check_movbe_support val va_code_Check_movbe_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_movbe_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_movbe_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_movbe_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_movbe_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_movbe_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_movbe_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_movbe_support () : (va_quickCode unit (va_code_Check_movbe_support ())) = (va_QProc (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_movbe_support va_wpProof_Check_movbe_support) //-- //-- Check_sse_support val va_code_Check_sse_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sse_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sse_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sse_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sse_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sse_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sse_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr]
false
false
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Check_sse_support: Prims.unit -> (va_quickCode unit (va_code_Check_sse_support ()))
[]
Vale.Lib.X64.Cpuid.va_quick_Check_sse_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Lib.X64.Cpuid.va_code_Check_sse_support ())
{ "end_col": 33, "end_line": 260, "start_col": 2, "start_line": 258 }
Prims.Tot
val va_quick_Check_movbe_support: Prims.unit -> (va_quickCode unit (va_code_Check_movbe_support ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Check_movbe_support () : (va_quickCode unit (va_code_Check_movbe_support ())) = (va_QProc (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_movbe_support va_wpProof_Check_movbe_support)
val va_quick_Check_movbe_support: Prims.unit -> (va_quickCode unit (va_code_Check_movbe_support ())) let va_quick_Check_movbe_support () : (va_quickCode unit (va_code_Check_movbe_support ())) =
false
null
false
(va_QProc (va_code_Check_movbe_support ()) ([ va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax ]) va_wp_Check_movbe_support va_wpProof_Check_movbe_support)
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Prims.unit", "Vale.X64.QuickCode.va_QProc", "Vale.Lib.X64.Cpuid.va_code_Check_movbe_support", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Lib.X64.Cpuid.va_wp_Check_movbe_support", "Vale.Lib.X64.Cpuid.va_wpProof_Check_movbe_support", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support) //-- //-- Check_movbe_support val va_code_Check_movbe_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_movbe_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_movbe_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_movbe_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_movbe_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_movbe_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_movbe_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr]
false
false
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Check_movbe_support: Prims.unit -> (va_quickCode unit (va_code_Check_movbe_support ()))
[]
Vale.Lib.X64.Cpuid.va_quick_Check_movbe_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Lib.X64.Cpuid.va_code_Check_movbe_support ())
{ "end_col": 35, "end_line": 226, "start_col": 2, "start_line": 224 }
Prims.Tot
val va_quick_Check_rdrand_support: Prims.unit -> (va_quickCode unit (va_code_Check_rdrand_support ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Check_rdrand_support () : (va_quickCode unit (va_code_Check_rdrand_support ())) = (va_QProc (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_rdrand_support va_wpProof_Check_rdrand_support)
val va_quick_Check_rdrand_support: Prims.unit -> (va_quickCode unit (va_code_Check_rdrand_support ())) let va_quick_Check_rdrand_support () : (va_quickCode unit (va_code_Check_rdrand_support ())) =
false
null
false
(va_QProc (va_code_Check_rdrand_support ()) ([ va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax ]) va_wp_Check_rdrand_support va_wpProof_Check_rdrand_support)
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Prims.unit", "Vale.X64.QuickCode.va_QProc", "Vale.Lib.X64.Cpuid.va_code_Check_rdrand_support", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Lib.X64.Cpuid.va_wp_Check_rdrand_support", "Vale.Lib.X64.Cpuid.va_wpProof_Check_rdrand_support", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support) //-- //-- Check_movbe_support val va_code_Check_movbe_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_movbe_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_movbe_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_movbe_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_movbe_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_movbe_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_movbe_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_movbe_support () : (va_quickCode unit (va_code_Check_movbe_support ())) = (va_QProc (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_movbe_support va_wpProof_Check_movbe_support) //-- //-- Check_sse_support val va_code_Check_sse_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sse_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sse_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sse_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sse_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sse_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sse_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sse_support () : (va_quickCode unit (va_code_Check_sse_support ())) = (va_QProc (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sse_support va_wpProof_Check_sse_support) //-- //-- Check_rdrand_support val va_code_Check_rdrand_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_rdrand_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_rdrand_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_rdrand_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_rdrand_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_rdrand_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_rdrand_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr]
false
false
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Check_rdrand_support: Prims.unit -> (va_quickCode unit (va_code_Check_rdrand_support ()))
[]
Vale.Lib.X64.Cpuid.va_quick_Check_rdrand_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Lib.X64.Cpuid.va_code_Check_rdrand_support ())
{ "end_col": 36, "end_line": 294, "start_col": 2, "start_line": 292 }
Prims.Tot
val va_quick_Check_avx_xcr0_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx_xcr0_support ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Check_avx_xcr0_support () : (va_quickCode unit (va_code_Check_avx_xcr0_support ())) = (va_QProc (va_code_Check_avx_xcr0_support ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Check_avx_xcr0_support va_wpProof_Check_avx_xcr0_support)
val va_quick_Check_avx_xcr0_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx_xcr0_support ())) let va_quick_Check_avx_xcr0_support () : (va_quickCode unit (va_code_Check_avx_xcr0_support ())) =
false
null
false
(va_QProc (va_code_Check_avx_xcr0_support ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Check_avx_xcr0_support va_wpProof_Check_avx_xcr0_support)
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Prims.unit", "Vale.X64.QuickCode.va_QProc", "Vale.Lib.X64.Cpuid.va_code_Check_avx_xcr0_support", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Lib.X64.Cpuid.va_wp_Check_avx_xcr0_support", "Vale.Lib.X64.Cpuid.va_wpProof_Check_avx_xcr0_support", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support) //-- //-- Check_movbe_support val va_code_Check_movbe_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_movbe_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_movbe_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_movbe_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_movbe_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_movbe_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_movbe_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_movbe_support () : (va_quickCode unit (va_code_Check_movbe_support ())) = (va_QProc (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_movbe_support va_wpProof_Check_movbe_support) //-- //-- Check_sse_support val va_code_Check_sse_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sse_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sse_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sse_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sse_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sse_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sse_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sse_support () : (va_quickCode unit (va_code_Check_sse_support ())) = (va_QProc (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sse_support va_wpProof_Check_sse_support) //-- //-- Check_rdrand_support val va_code_Check_rdrand_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_rdrand_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_rdrand_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_rdrand_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_rdrand_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_rdrand_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_rdrand_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_rdrand_support () : (va_quickCode unit (va_code_Check_rdrand_support ())) = (va_QProc (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_rdrand_support va_wpProof_Check_rdrand_support) //-- //-- Check_avx512_support val va_code_Check_avx512_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx512_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx512_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx512_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))) [@ va_qattr] let va_wp_Check_avx512_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx512_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx512_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx512_support ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx512_support () : (va_quickCode unit (va_code_Check_avx512_support ())) = (va_QProc (va_code_Check_avx512_support ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx512_support va_wpProof_Check_avx512_support) //-- //-- Check_osxsave_support val va_code_Check_osxsave_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_osxsave_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_osxsave_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_osxsave_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> osxsave_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_osxsave_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> osxsave_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_osxsave_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_osxsave_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_osxsave_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_osxsave_support () : (va_quickCode unit (va_code_Check_osxsave_support ())) = (va_QProc (va_code_Check_osxsave_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_osxsave_support va_wpProof_Check_osxsave_support) //-- //-- Check_avx_xcr0_support val va_code_Check_avx_xcr0_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_xcr0_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_xcr0_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_xcr0_support ()) va_s0 /\ va_get_ok va_s0 /\ osxsave_enabled)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_xcr0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) [@ va_qattr] let va_wp_Check_avx_xcr0_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ osxsave_enabled /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_xcr0) ==> va_k va_sM (()))) val va_wpProof_Check_avx_xcr0_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_xcr0_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_xcr0_support ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr]
false
false
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Check_avx_xcr0_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx_xcr0_support ()))
[]
Vale.Lib.X64.Cpuid.va_quick_Check_avx_xcr0_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Lib.X64.Cpuid.va_code_Check_avx_xcr0_support ())
{ "end_col": 93, "end_line": 397, "start_col": 2, "start_line": 396 }
Prims.Tot
val va_quick_Check_osxsave_support: Prims.unit -> (va_quickCode unit (va_code_Check_osxsave_support ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Check_osxsave_support () : (va_quickCode unit (va_code_Check_osxsave_support ())) = (va_QProc (va_code_Check_osxsave_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_osxsave_support va_wpProof_Check_osxsave_support)
val va_quick_Check_osxsave_support: Prims.unit -> (va_quickCode unit (va_code_Check_osxsave_support ())) let va_quick_Check_osxsave_support () : (va_quickCode unit (va_code_Check_osxsave_support ())) =
false
null
false
(va_QProc (va_code_Check_osxsave_support ()) ([ va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax ]) va_wp_Check_osxsave_support va_wpProof_Check_osxsave_support)
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Prims.unit", "Vale.X64.QuickCode.va_QProc", "Vale.Lib.X64.Cpuid.va_code_Check_osxsave_support", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Lib.X64.Cpuid.va_wp_Check_osxsave_support", "Vale.Lib.X64.Cpuid.va_wpProof_Check_osxsave_support", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support) //-- //-- Check_movbe_support val va_code_Check_movbe_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_movbe_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_movbe_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_movbe_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_movbe_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_movbe_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_movbe_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_movbe_support () : (va_quickCode unit (va_code_Check_movbe_support ())) = (va_QProc (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_movbe_support va_wpProof_Check_movbe_support) //-- //-- Check_sse_support val va_code_Check_sse_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sse_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sse_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sse_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sse_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sse_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sse_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sse_support () : (va_quickCode unit (va_code_Check_sse_support ())) = (va_QProc (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sse_support va_wpProof_Check_sse_support) //-- //-- Check_rdrand_support val va_code_Check_rdrand_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_rdrand_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_rdrand_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_rdrand_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_rdrand_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_rdrand_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_rdrand_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_rdrand_support () : (va_quickCode unit (va_code_Check_rdrand_support ())) = (va_QProc (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_rdrand_support va_wpProof_Check_rdrand_support) //-- //-- Check_avx512_support val va_code_Check_avx512_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx512_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx512_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx512_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))) [@ va_qattr] let va_wp_Check_avx512_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx512_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx512_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx512_support ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx512_support () : (va_quickCode unit (va_code_Check_avx512_support ())) = (va_QProc (va_code_Check_avx512_support ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx512_support va_wpProof_Check_avx512_support) //-- //-- Check_osxsave_support val va_code_Check_osxsave_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_osxsave_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_osxsave_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_osxsave_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> osxsave_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_osxsave_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> osxsave_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_osxsave_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_osxsave_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_osxsave_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr]
false
false
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Check_osxsave_support: Prims.unit -> (va_quickCode unit (va_code_Check_osxsave_support ()))
[]
Vale.Lib.X64.Cpuid.va_quick_Check_osxsave_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Lib.X64.Cpuid.va_code_Check_osxsave_support ())
{ "end_col": 37, "end_line": 365, "start_col": 2, "start_line": 363 }
Prims.Tot
val va_quick_Check_avx512_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx512_support ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Check_avx512_support () : (va_quickCode unit (va_code_Check_avx512_support ())) = (va_QProc (va_code_Check_avx512_support ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx512_support va_wpProof_Check_avx512_support)
val va_quick_Check_avx512_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx512_support ())) let va_quick_Check_avx512_support () : (va_quickCode unit (va_code_Check_avx512_support ())) =
false
null
false
(va_QProc (va_code_Check_avx512_support ()) ([ va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax ]) va_wp_Check_avx512_support va_wpProof_Check_avx512_support)
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Prims.unit", "Vale.X64.QuickCode.va_QProc", "Vale.Lib.X64.Cpuid.va_code_Check_avx512_support", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Lib.X64.Cpuid.va_wp_Check_avx512_support", "Vale.Lib.X64.Cpuid.va_wpProof_Check_avx512_support", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support) //-- //-- Check_movbe_support val va_code_Check_movbe_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_movbe_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_movbe_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_movbe_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_movbe_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_movbe_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_movbe_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_movbe_support () : (va_quickCode unit (va_code_Check_movbe_support ())) = (va_QProc (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_movbe_support va_wpProof_Check_movbe_support) //-- //-- Check_sse_support val va_code_Check_sse_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sse_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sse_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sse_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sse_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sse_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sse_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sse_support () : (va_quickCode unit (va_code_Check_sse_support ())) = (va_QProc (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sse_support va_wpProof_Check_sse_support) //-- //-- Check_rdrand_support val va_code_Check_rdrand_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_rdrand_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_rdrand_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_rdrand_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_rdrand_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_rdrand_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_rdrand_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_rdrand_support () : (va_quickCode unit (va_code_Check_rdrand_support ())) = (va_QProc (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_rdrand_support va_wpProof_Check_rdrand_support) //-- //-- Check_avx512_support val va_code_Check_avx512_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx512_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx512_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx512_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))) [@ va_qattr] let va_wp_Check_avx512_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx512_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx512_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx512_support ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr]
false
false
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Check_avx512_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx512_support ()))
[]
Vale.Lib.X64.Cpuid.va_quick_Check_avx512_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Lib.X64.Cpuid.va_code_Check_avx512_support ())
{ "end_col": 63, "end_line": 331, "start_col": 2, "start_line": 329 }
Prims.Tot
val va_quick_Check_avx512_xcr0_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx512_xcr0_support ()))
[ { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_quick_Check_avx512_xcr0_support () : (va_quickCode unit (va_code_Check_avx512_xcr0_support ())) = (va_QProc (va_code_Check_avx512_xcr0_support ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Check_avx512_xcr0_support va_wpProof_Check_avx512_xcr0_support)
val va_quick_Check_avx512_xcr0_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx512_xcr0_support ())) let va_quick_Check_avx512_xcr0_support () : (va_quickCode unit (va_code_Check_avx512_xcr0_support ())) =
false
null
false
(va_QProc (va_code_Check_avx512_xcr0_support ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Check_avx512_xcr0_support va_wpProof_Check_avx512_xcr0_support)
{ "checked_file": "Vale.Lib.X64.Cpuid.fsti.checked", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Def.Types_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Lib.X64.Cpuid.fsti" }
[ "total" ]
[ "Prims.unit", "Vale.X64.QuickCode.va_QProc", "Vale.Lib.X64.Cpuid.va_code_Check_avx512_xcr0_support", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.Lib.X64.Cpuid.va_wp_Check_avx512_xcr0_support", "Vale.Lib.X64.Cpuid.va_wpProof_Check_avx512_xcr0_support", "Vale.X64.QuickCode.va_quickCode" ]
[]
module Vale.Lib.X64.Cpuid open Vale.Def.Types_s open Vale.Arch.Types open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.X64.CPU_Features_s //let pow2_values (u:unit) : Lemma // (pow2 29 == 0x20000000 /\ // pow2 25 == 0x2000000 /\ // pow2 1 == 0x2) // = // assert_norm (pow2 29 == 0x20000000); // assert_norm (0x2000000 == pow2 25); // assert_norm (0x2 == pow2 1); // () //-- Check_aesni_support val va_code_Check_aesni_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_aesni_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_aesni_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_aesni_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_aesni_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> aesni_enabled /\ pclmulqdq_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_aesni_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_aesni_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_aesni_support () : (va_quickCode unit (va_code_Check_aesni_support ())) = (va_QProc (va_code_Check_aesni_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_aesni_support va_wpProof_Check_aesni_support) //-- //-- Check_sha_support val va_code_Check_sha_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sha_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sha_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sha_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sha_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sha_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sha_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sha_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sha_support () : (va_quickCode unit (va_code_Check_sha_support ())) = (va_QProc (va_code_Check_sha_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sha_support va_wpProof_Check_sha_support) //-- //-- Check_adx_bmi2_support val va_code_Check_adx_bmi2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_adx_bmi2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_adx_bmi2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_adx_bmi2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_adx_bmi2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> adx_enabled /\ bmi2_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_adx_bmi2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_adx_bmi2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_adx_bmi2_support () : (va_quickCode unit (va_code_Check_adx_bmi2_support ())) = (va_QProc (va_code_Check_adx_bmi2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_adx_bmi2_support va_wpProof_Check_adx_bmi2_support) //-- //-- Check_avx_support val va_code_Check_avx_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_support () : (va_quickCode unit (va_code_Check_avx_support ())) = (va_QProc (va_code_Check_avx_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx_support va_wpProof_Check_avx_support) //-- //-- Check_avx2_support val va_code_Check_avx2_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx2_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx2_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx2_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_avx2_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx2_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx2_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx2_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx2_support () : (va_quickCode unit (va_code_Check_avx2_support ())) = (va_QProc (va_code_Check_avx2_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx2_support va_wpProof_Check_avx2_support) //-- //-- Check_movbe_support val va_code_Check_movbe_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_movbe_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_movbe_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_movbe_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_movbe_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> movbe_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_movbe_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_movbe_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_movbe_support () : (va_quickCode unit (va_code_Check_movbe_support ())) = (va_QProc (va_code_Check_movbe_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_movbe_support va_wpProof_Check_movbe_support) //-- //-- Check_sse_support val va_code_Check_sse_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_sse_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_sse_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_sse_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_sse_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> sse_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_sse_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_sse_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_sse_support () : (va_quickCode unit (va_code_Check_sse_support ())) = (va_QProc (va_code_Check_sse_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_sse_support va_wpProof_Check_sse_support) //-- //-- Check_rdrand_support val va_code_Check_rdrand_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_rdrand_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_rdrand_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_rdrand_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_rdrand_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> rdrand_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_rdrand_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_rdrand_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_rdrand_support () : (va_quickCode unit (va_code_Check_rdrand_support ())) = (va_QProc (va_code_Check_rdrand_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_rdrand_support va_wpProof_Check_rdrand_support) //-- //-- Check_avx512_support val va_code_Check_avx512_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx512_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx512_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx512_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))) [@ va_qattr] let va_wp_Check_avx512_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_cpuid_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_avx512_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx512_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx512_support ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx512_support () : (va_quickCode unit (va_code_Check_avx512_support ())) = (va_QProc (va_code_Check_avx512_support ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_avx512_support va_wpProof_Check_avx512_support) //-- //-- Check_osxsave_support val va_code_Check_osxsave_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_osxsave_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_osxsave_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_osxsave_support ()) va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> osxsave_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))) [@ va_qattr] let va_wp_Check_osxsave_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (forall (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_r9:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax va_s0))))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> osxsave_enabled) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ==> va_k va_sM (()))) val va_wpProof_Check_osxsave_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_osxsave_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_osxsave_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_osxsave_support () : (va_quickCode unit (va_code_Check_osxsave_support ())) = (va_QProc (va_code_Check_osxsave_support ()) ([va_Mod_flags; va_Mod_reg64 rR9; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_wp_Check_osxsave_support va_wpProof_Check_osxsave_support) //-- //-- Check_avx_xcr0_support val va_code_Check_avx_xcr0_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx_xcr0_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx_xcr0_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx_xcr0_support ()) va_s0 /\ va_get_ok va_s0 /\ osxsave_enabled)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_xcr0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) [@ va_qattr] let va_wp_Check_avx_xcr0_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ osxsave_enabled /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx_xcr0) ==> va_k va_sM (()))) val va_wpProof_Check_avx_xcr0_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx_xcr0_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx_xcr0_support ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx_xcr0_support () : (va_quickCode unit (va_code_Check_avx_xcr0_support ())) = (va_QProc (va_code_Check_avx_xcr0_support ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_wp_Check_avx_xcr0_support va_wpProof_Check_avx_xcr0_support) //-- //-- Check_avx512_xcr0_support val va_code_Check_avx512_xcr0_support : va_dummy:unit -> Tot va_code val va_codegen_success_Check_avx512_xcr0_support : va_dummy:unit -> Tot va_pbool val va_lemma_Check_avx512_xcr0_support : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Check_avx512_xcr0_support ()) va_s0 /\ va_get_ok va_s0 /\ osxsave_enabled /\ avx_xcr0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_xcr0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) [@ va_qattr] let va_wp_Check_avx512_xcr0_support (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ osxsave_enabled /\ avx_xcr0 /\ (forall (va_x_rax:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRax va_x_rax va_s0))) in va_get_ok va_sM /\ (va_get_reg64 rRax va_sM =!= 0 ==> avx512_xcr0) ==> va_k va_sM (()))) val va_wpProof_Check_avx512_xcr0_support : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Check_avx512_xcr0_support va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Check_avx512_xcr0_support ()) ([va_Mod_flags; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@ "opaque_to_smt" va_qattr] let va_quick_Check_avx512_xcr0_support () : (va_quickCode unit (va_code_Check_avx512_xcr0_support
false
false
Vale.Lib.X64.Cpuid.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_quick_Check_avx512_xcr0_support: Prims.unit -> (va_quickCode unit (va_code_Check_avx512_xcr0_support ()))
[]
Vale.Lib.X64.Cpuid.va_quick_Check_avx512_xcr0_support
{ "file_name": "obj/Vale.Lib.X64.Cpuid.fsti", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Lib.X64.Cpuid.va_code_Check_avx512_xcr0_support ())
{ "end_col": 99, "end_line": 430, "start_col": 2, "start_line": 429 }
Prims.Tot
val test_nonce:lbytes 12
[ { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": true, "full_module": "Lib.PrintSequence", "short_module": "PS" }, { "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": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let test_nonce : lbytes 12 = let l = List.Tot.map u8_from_UInt8 [ 0x07uy; 0x00uy; 0x00uy; 0x00uy; 0x40uy; 0x41uy; 0x42uy; 0x43uy; 0x44uy; 0x45uy; 0x46uy; 0x47uy ] in assert_norm (List.Tot.length l == 12); of_list l
val test_nonce:lbytes 12 let test_nonce:lbytes 12 =
false
null
false
let l = List.Tot.map u8_from_UInt8 [0x07uy; 0x00uy; 0x00uy; 0x00uy; 0x40uy; 0x41uy; 0x42uy; 0x43uy; 0x44uy; 0x45uy; 0x46uy; 0x47uy] in assert_norm (List.Tot.length l == 12); of_list l
{ "checked_file": "Spec.Chacha20Poly1305.Test.fst.checked", "dependencies": [ "Spec.Chacha20Poly1305.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.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.IO.fst.checked", "FStar.All.fst.checked" ], "interface_file": false, "source_file": "Spec.Chacha20Poly1305.Test.fst" }
[ "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" ]
[]
module Spec.Chacha20Poly1305.Test open FStar.Mul open Lib.IntTypes open Lib.RawIntTypes open Lib.Sequence open Lib.ByteSequence module PS = Lib.PrintSequence open Spec.Chacha20Poly1305 #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" (* Tests: RFC7539 *) let test_key : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x80uy; 0x81uy; 0x82uy; 0x83uy; 0x84uy; 0x85uy; 0x86uy; 0x87uy; 0x88uy; 0x89uy; 0x8auy; 0x8buy; 0x8cuy; 0x8duy; 0x8euy; 0x8fuy; 0x90uy; 0x91uy; 0x92uy; 0x93uy; 0x94uy; 0x95uy; 0x96uy; 0x97uy; 0x98uy; 0x99uy; 0x9auy; 0x9buy; 0x9cuy; 0x9duy; 0x9euy; 0x9fuy ] in assert_norm (List.Tot.length l == 32); of_list l
false
false
Spec.Chacha20Poly1305.Test.fst
{ "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" }
null
val test_nonce:lbytes 12
[]
Spec.Chacha20Poly1305.Test.test_nonce
{ "file_name": "specs/tests/Spec.Chacha20Poly1305.Test.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Lib.Sequence.lseq (Lib.IntTypes.int_t Lib.IntTypes.U8 Lib.IntTypes.SEC) 12
{ "end_col": 11, "end_line": 31, "start_col": 28, "start_line": 26 }
Prims.Tot
val test_aad:lbytes 12
[ { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": true, "full_module": "Lib.PrintSequence", "short_module": "PS" }, { "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": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let test_aad : lbytes 12 = let l = List.Tot.map u8_from_UInt8 [ 0x50uy; 0x51uy; 0x52uy; 0x53uy; 0xc0uy; 0xc1uy; 0xc2uy; 0xc3uy; 0xc4uy; 0xc5uy; 0xc6uy; 0xc7uy ] in assert_norm (List.Tot.length l == 12); of_list l
val test_aad:lbytes 12 let test_aad:lbytes 12 =
false
null
false
let l = List.Tot.map u8_from_UInt8 [0x50uy; 0x51uy; 0x52uy; 0x53uy; 0xc0uy; 0xc1uy; 0xc2uy; 0xc3uy; 0xc4uy; 0xc5uy; 0xc6uy; 0xc7uy] in assert_norm (List.Tot.length l == 12); of_list l
{ "checked_file": "Spec.Chacha20Poly1305.Test.fst.checked", "dependencies": [ "Spec.Chacha20Poly1305.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.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.IO.fst.checked", "FStar.All.fst.checked" ], "interface_file": false, "source_file": "Spec.Chacha20Poly1305.Test.fst" }
[ "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" ]
[]
module Spec.Chacha20Poly1305.Test open FStar.Mul open Lib.IntTypes open Lib.RawIntTypes open Lib.Sequence open Lib.ByteSequence module PS = Lib.PrintSequence open Spec.Chacha20Poly1305 #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" (* Tests: RFC7539 *) let test_key : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x80uy; 0x81uy; 0x82uy; 0x83uy; 0x84uy; 0x85uy; 0x86uy; 0x87uy; 0x88uy; 0x89uy; 0x8auy; 0x8buy; 0x8cuy; 0x8duy; 0x8euy; 0x8fuy; 0x90uy; 0x91uy; 0x92uy; 0x93uy; 0x94uy; 0x95uy; 0x96uy; 0x97uy; 0x98uy; 0x99uy; 0x9auy; 0x9buy; 0x9cuy; 0x9duy; 0x9euy; 0x9fuy ] in assert_norm (List.Tot.length l == 32); of_list l let test_nonce : lbytes 12 = let l = List.Tot.map u8_from_UInt8 [ 0x07uy; 0x00uy; 0x00uy; 0x00uy; 0x40uy; 0x41uy; 0x42uy; 0x43uy; 0x44uy; 0x45uy; 0x46uy; 0x47uy ] in assert_norm (List.Tot.length l == 12); of_list l let test_plaintext : lbytes 114 = let l = List.Tot.map u8_from_UInt8 [ 0x4cuy; 0x61uy; 0x64uy; 0x69uy; 0x65uy; 0x73uy; 0x20uy; 0x61uy; 0x6euy; 0x64uy; 0x20uy; 0x47uy; 0x65uy; 0x6euy; 0x74uy; 0x6cuy; 0x65uy; 0x6duy; 0x65uy; 0x6euy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x20uy; 0x63uy; 0x6cuy; 0x61uy; 0x73uy; 0x73uy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x27uy; 0x39uy; 0x39uy; 0x3auy; 0x20uy; 0x49uy; 0x66uy; 0x20uy; 0x49uy; 0x20uy; 0x63uy; 0x6fuy; 0x75uy; 0x6cuy; 0x64uy; 0x20uy; 0x6fuy; 0x66uy; 0x66uy; 0x65uy; 0x72uy; 0x20uy; 0x79uy; 0x6fuy; 0x75uy; 0x20uy; 0x6fuy; 0x6euy; 0x6cuy; 0x79uy; 0x20uy; 0x6fuy; 0x6euy; 0x65uy; 0x20uy; 0x74uy; 0x69uy; 0x70uy; 0x20uy; 0x66uy; 0x6fuy; 0x72uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x20uy; 0x66uy; 0x75uy; 0x74uy; 0x75uy; 0x72uy; 0x65uy; 0x2cuy; 0x20uy; 0x73uy; 0x75uy; 0x6euy; 0x73uy; 0x63uy; 0x72uy; 0x65uy; 0x65uy; 0x6euy; 0x20uy; 0x77uy; 0x6fuy; 0x75uy; 0x6cuy; 0x64uy; 0x20uy; 0x62uy; 0x65uy; 0x20uy; 0x69uy; 0x74uy; 0x2euy ] in assert_norm (List.Tot.length l == 114); of_list l
false
false
Spec.Chacha20Poly1305.Test.fst
{ "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" }
null
val test_aad:lbytes 12
[]
Spec.Chacha20Poly1305.Test.test_aad
{ "file_name": "specs/tests/Spec.Chacha20Poly1305.Test.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Lib.Sequence.lseq (Lib.IntTypes.int_t Lib.IntTypes.U8 Lib.IntTypes.SEC) 12
{ "end_col": 11, "end_line": 60, "start_col": 26, "start_line": 55 }
Prims.Tot
val test_key:lbytes 32
[ { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": true, "full_module": "Lib.PrintSequence", "short_module": "PS" }, { "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": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let test_key : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x80uy; 0x81uy; 0x82uy; 0x83uy; 0x84uy; 0x85uy; 0x86uy; 0x87uy; 0x88uy; 0x89uy; 0x8auy; 0x8buy; 0x8cuy; 0x8duy; 0x8euy; 0x8fuy; 0x90uy; 0x91uy; 0x92uy; 0x93uy; 0x94uy; 0x95uy; 0x96uy; 0x97uy; 0x98uy; 0x99uy; 0x9auy; 0x9buy; 0x9cuy; 0x9duy; 0x9euy; 0x9fuy ] in assert_norm (List.Tot.length l == 32); of_list l
val test_key:lbytes 32 let test_key:lbytes 32 =
false
null
false
let l = List.Tot.map u8_from_UInt8 [ 0x80uy; 0x81uy; 0x82uy; 0x83uy; 0x84uy; 0x85uy; 0x86uy; 0x87uy; 0x88uy; 0x89uy; 0x8auy; 0x8buy; 0x8cuy; 0x8duy; 0x8euy; 0x8fuy; 0x90uy; 0x91uy; 0x92uy; 0x93uy; 0x94uy; 0x95uy; 0x96uy; 0x97uy; 0x98uy; 0x99uy; 0x9auy; 0x9buy; 0x9cuy; 0x9duy; 0x9euy; 0x9fuy ] in assert_norm (List.Tot.length l == 32); of_list l
{ "checked_file": "Spec.Chacha20Poly1305.Test.fst.checked", "dependencies": [ "Spec.Chacha20Poly1305.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.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.IO.fst.checked", "FStar.All.fst.checked" ], "interface_file": false, "source_file": "Spec.Chacha20Poly1305.Test.fst" }
[ "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" ]
[]
module Spec.Chacha20Poly1305.Test open FStar.Mul open Lib.IntTypes open Lib.RawIntTypes open Lib.Sequence open Lib.ByteSequence module PS = Lib.PrintSequence open Spec.Chacha20Poly1305 #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" (* Tests: RFC7539 *)
false
false
Spec.Chacha20Poly1305.Test.fst
{ "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" }
null
val test_key:lbytes 32
[]
Spec.Chacha20Poly1305.Test.test_key
{ "file_name": "specs/tests/Spec.Chacha20Poly1305.Test.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Lib.Sequence.lseq (Lib.IntTypes.int_t Lib.IntTypes.U8 Lib.IntTypes.SEC) 32
{ "end_col": 11, "end_line": 23, "start_col": 26, "start_line": 16 }
Prims.Tot
val test_mac:lbytes 16
[ { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": true, "full_module": "Lib.PrintSequence", "short_module": "PS" }, { "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": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let test_mac : lbytes 16 = let l = List.Tot.map u8_from_UInt8 [ 0x1auy; 0xe1uy; 0x0buy; 0x59uy; 0x4fuy; 0x09uy; 0xe2uy; 0x6auy; 0x7euy; 0x90uy; 0x2euy; 0xcbuy; 0xd0uy; 0x60uy; 0x06uy; 0x91uy ] in assert_norm (List.Tot.length l == 16); of_list l
val test_mac:lbytes 16 let test_mac:lbytes 16 =
false
null
false
let l = List.Tot.map u8_from_UInt8 [ 0x1auy; 0xe1uy; 0x0buy; 0x59uy; 0x4fuy; 0x09uy; 0xe2uy; 0x6auy; 0x7euy; 0x90uy; 0x2euy; 0xcbuy; 0xd0uy; 0x60uy; 0x06uy; 0x91uy ] in assert_norm (List.Tot.length l == 16); of_list l
{ "checked_file": "Spec.Chacha20Poly1305.Test.fst.checked", "dependencies": [ "Spec.Chacha20Poly1305.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.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.IO.fst.checked", "FStar.All.fst.checked" ], "interface_file": false, "source_file": "Spec.Chacha20Poly1305.Test.fst" }
[ "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" ]
[]
module Spec.Chacha20Poly1305.Test open FStar.Mul open Lib.IntTypes open Lib.RawIntTypes open Lib.Sequence open Lib.ByteSequence module PS = Lib.PrintSequence open Spec.Chacha20Poly1305 #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" (* Tests: RFC7539 *) let test_key : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x80uy; 0x81uy; 0x82uy; 0x83uy; 0x84uy; 0x85uy; 0x86uy; 0x87uy; 0x88uy; 0x89uy; 0x8auy; 0x8buy; 0x8cuy; 0x8duy; 0x8euy; 0x8fuy; 0x90uy; 0x91uy; 0x92uy; 0x93uy; 0x94uy; 0x95uy; 0x96uy; 0x97uy; 0x98uy; 0x99uy; 0x9auy; 0x9buy; 0x9cuy; 0x9duy; 0x9euy; 0x9fuy ] in assert_norm (List.Tot.length l == 32); of_list l let test_nonce : lbytes 12 = let l = List.Tot.map u8_from_UInt8 [ 0x07uy; 0x00uy; 0x00uy; 0x00uy; 0x40uy; 0x41uy; 0x42uy; 0x43uy; 0x44uy; 0x45uy; 0x46uy; 0x47uy ] in assert_norm (List.Tot.length l == 12); of_list l let test_plaintext : lbytes 114 = let l = List.Tot.map u8_from_UInt8 [ 0x4cuy; 0x61uy; 0x64uy; 0x69uy; 0x65uy; 0x73uy; 0x20uy; 0x61uy; 0x6euy; 0x64uy; 0x20uy; 0x47uy; 0x65uy; 0x6euy; 0x74uy; 0x6cuy; 0x65uy; 0x6duy; 0x65uy; 0x6euy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x20uy; 0x63uy; 0x6cuy; 0x61uy; 0x73uy; 0x73uy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x27uy; 0x39uy; 0x39uy; 0x3auy; 0x20uy; 0x49uy; 0x66uy; 0x20uy; 0x49uy; 0x20uy; 0x63uy; 0x6fuy; 0x75uy; 0x6cuy; 0x64uy; 0x20uy; 0x6fuy; 0x66uy; 0x66uy; 0x65uy; 0x72uy; 0x20uy; 0x79uy; 0x6fuy; 0x75uy; 0x20uy; 0x6fuy; 0x6euy; 0x6cuy; 0x79uy; 0x20uy; 0x6fuy; 0x6euy; 0x65uy; 0x20uy; 0x74uy; 0x69uy; 0x70uy; 0x20uy; 0x66uy; 0x6fuy; 0x72uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x20uy; 0x66uy; 0x75uy; 0x74uy; 0x75uy; 0x72uy; 0x65uy; 0x2cuy; 0x20uy; 0x73uy; 0x75uy; 0x6euy; 0x73uy; 0x63uy; 0x72uy; 0x65uy; 0x65uy; 0x6euy; 0x20uy; 0x77uy; 0x6fuy; 0x75uy; 0x6cuy; 0x64uy; 0x20uy; 0x62uy; 0x65uy; 0x20uy; 0x69uy; 0x74uy; 0x2euy ] in assert_norm (List.Tot.length l == 114); of_list l let test_aad : lbytes 12 = let l = List.Tot.map u8_from_UInt8 [ 0x50uy; 0x51uy; 0x52uy; 0x53uy; 0xc0uy; 0xc1uy; 0xc2uy; 0xc3uy; 0xc4uy; 0xc5uy; 0xc6uy; 0xc7uy ] in assert_norm (List.Tot.length l == 12); of_list l let test_cipher : lbytes 114 = let l = List.Tot.map u8_from_UInt8 [ 0xd3uy; 0x1auy; 0x8duy; 0x34uy; 0x64uy; 0x8euy; 0x60uy; 0xdbuy; 0x7buy; 0x86uy; 0xafuy; 0xbcuy; 0x53uy; 0xefuy; 0x7euy; 0xc2uy; 0xa4uy; 0xaduy; 0xeduy; 0x51uy; 0x29uy; 0x6euy; 0x08uy; 0xfeuy; 0xa9uy; 0xe2uy; 0xb5uy; 0xa7uy; 0x36uy; 0xeeuy; 0x62uy; 0xd6uy; 0x3duy; 0xbeuy; 0xa4uy; 0x5euy; 0x8cuy; 0xa9uy; 0x67uy; 0x12uy; 0x82uy; 0xfauy; 0xfbuy; 0x69uy; 0xdauy; 0x92uy; 0x72uy; 0x8buy; 0x1auy; 0x71uy; 0xdeuy; 0x0auy; 0x9euy; 0x06uy; 0x0buy; 0x29uy; 0x05uy; 0xd6uy; 0xa5uy; 0xb6uy; 0x7euy; 0xcduy; 0x3buy; 0x36uy; 0x92uy; 0xdduy; 0xbduy; 0x7fuy; 0x2duy; 0x77uy; 0x8buy; 0x8cuy; 0x98uy; 0x03uy; 0xaeuy; 0xe3uy; 0x28uy; 0x09uy; 0x1buy; 0x58uy; 0xfauy; 0xb3uy; 0x24uy; 0xe4uy; 0xfauy; 0xd6uy; 0x75uy; 0x94uy; 0x55uy; 0x85uy; 0x80uy; 0x8buy; 0x48uy; 0x31uy; 0xd7uy; 0xbcuy; 0x3fuy; 0xf4uy; 0xdeuy; 0xf0uy; 0x8euy; 0x4buy; 0x7auy; 0x9duy; 0xe5uy; 0x76uy; 0xd2uy; 0x65uy; 0x86uy; 0xceuy; 0xc6uy; 0x4buy; 0x61uy; 0x16uy; ] in assert_norm (List.Tot.length l == 114); of_list l
false
false
Spec.Chacha20Poly1305.Test.fst
{ "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" }
null
val test_mac:lbytes 16
[]
Spec.Chacha20Poly1305.Test.test_mac
{ "file_name": "specs/tests/Spec.Chacha20Poly1305.Test.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Lib.Sequence.lseq (Lib.IntTypes.int_t Lib.IntTypes.U8 Lib.IntTypes.SEC) 16
{ "end_col": 11, "end_line": 89, "start_col": 26, "start_line": 84 }
FStar.All.ALL
[ { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": true, "full_module": "Lib.PrintSequence", "short_module": "PS" }, { "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": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let test () = let res = test_aead test_key test_nonce test_plaintext test_aad test_cipher test_mac in if res then begin IO.print_string "\nChacha20Poly1305: Success! \o/ \n"; true end else begin IO.print_string "\nChacha20Poly1305: Failure :(\n"; false end
let test () =
true
null
false
let res = test_aead test_key test_nonce test_plaintext test_aad test_cipher test_mac in if res then (IO.print_string "\nChacha20Poly1305: Success! \\o/ \n"; true) else (IO.print_string "\nChacha20Poly1305: Failure :(\n"; false)
{ "checked_file": "Spec.Chacha20Poly1305.Test.fst.checked", "dependencies": [ "Spec.Chacha20Poly1305.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.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.IO.fst.checked", "FStar.All.fst.checked" ], "interface_file": false, "source_file": "Spec.Chacha20Poly1305.Test.fst" }
[]
[ "Prims.unit", "Prims.bool", "FStar.IO.print_string", "Spec.Chacha20Poly1305.Test.test_aead", "Spec.Chacha20Poly1305.Test.test_key", "Spec.Chacha20Poly1305.Test.test_nonce", "Spec.Chacha20Poly1305.Test.test_plaintext", "Spec.Chacha20Poly1305.Test.test_aad", "Spec.Chacha20Poly1305.Test.test_cipher", "Spec.Chacha20Poly1305.Test.test_mac" ]
[]
module Spec.Chacha20Poly1305.Test open FStar.Mul open Lib.IntTypes open Lib.RawIntTypes open Lib.Sequence open Lib.ByteSequence module PS = Lib.PrintSequence open Spec.Chacha20Poly1305 #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" (* Tests: RFC7539 *) let test_key : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x80uy; 0x81uy; 0x82uy; 0x83uy; 0x84uy; 0x85uy; 0x86uy; 0x87uy; 0x88uy; 0x89uy; 0x8auy; 0x8buy; 0x8cuy; 0x8duy; 0x8euy; 0x8fuy; 0x90uy; 0x91uy; 0x92uy; 0x93uy; 0x94uy; 0x95uy; 0x96uy; 0x97uy; 0x98uy; 0x99uy; 0x9auy; 0x9buy; 0x9cuy; 0x9duy; 0x9euy; 0x9fuy ] in assert_norm (List.Tot.length l == 32); of_list l let test_nonce : lbytes 12 = let l = List.Tot.map u8_from_UInt8 [ 0x07uy; 0x00uy; 0x00uy; 0x00uy; 0x40uy; 0x41uy; 0x42uy; 0x43uy; 0x44uy; 0x45uy; 0x46uy; 0x47uy ] in assert_norm (List.Tot.length l == 12); of_list l let test_plaintext : lbytes 114 = let l = List.Tot.map u8_from_UInt8 [ 0x4cuy; 0x61uy; 0x64uy; 0x69uy; 0x65uy; 0x73uy; 0x20uy; 0x61uy; 0x6euy; 0x64uy; 0x20uy; 0x47uy; 0x65uy; 0x6euy; 0x74uy; 0x6cuy; 0x65uy; 0x6duy; 0x65uy; 0x6euy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x20uy; 0x63uy; 0x6cuy; 0x61uy; 0x73uy; 0x73uy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x27uy; 0x39uy; 0x39uy; 0x3auy; 0x20uy; 0x49uy; 0x66uy; 0x20uy; 0x49uy; 0x20uy; 0x63uy; 0x6fuy; 0x75uy; 0x6cuy; 0x64uy; 0x20uy; 0x6fuy; 0x66uy; 0x66uy; 0x65uy; 0x72uy; 0x20uy; 0x79uy; 0x6fuy; 0x75uy; 0x20uy; 0x6fuy; 0x6euy; 0x6cuy; 0x79uy; 0x20uy; 0x6fuy; 0x6euy; 0x65uy; 0x20uy; 0x74uy; 0x69uy; 0x70uy; 0x20uy; 0x66uy; 0x6fuy; 0x72uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x20uy; 0x66uy; 0x75uy; 0x74uy; 0x75uy; 0x72uy; 0x65uy; 0x2cuy; 0x20uy; 0x73uy; 0x75uy; 0x6euy; 0x73uy; 0x63uy; 0x72uy; 0x65uy; 0x65uy; 0x6euy; 0x20uy; 0x77uy; 0x6fuy; 0x75uy; 0x6cuy; 0x64uy; 0x20uy; 0x62uy; 0x65uy; 0x20uy; 0x69uy; 0x74uy; 0x2euy ] in assert_norm (List.Tot.length l == 114); of_list l let test_aad : lbytes 12 = let l = List.Tot.map u8_from_UInt8 [ 0x50uy; 0x51uy; 0x52uy; 0x53uy; 0xc0uy; 0xc1uy; 0xc2uy; 0xc3uy; 0xc4uy; 0xc5uy; 0xc6uy; 0xc7uy ] in assert_norm (List.Tot.length l == 12); of_list l let test_cipher : lbytes 114 = let l = List.Tot.map u8_from_UInt8 [ 0xd3uy; 0x1auy; 0x8duy; 0x34uy; 0x64uy; 0x8euy; 0x60uy; 0xdbuy; 0x7buy; 0x86uy; 0xafuy; 0xbcuy; 0x53uy; 0xefuy; 0x7euy; 0xc2uy; 0xa4uy; 0xaduy; 0xeduy; 0x51uy; 0x29uy; 0x6euy; 0x08uy; 0xfeuy; 0xa9uy; 0xe2uy; 0xb5uy; 0xa7uy; 0x36uy; 0xeeuy; 0x62uy; 0xd6uy; 0x3duy; 0xbeuy; 0xa4uy; 0x5euy; 0x8cuy; 0xa9uy; 0x67uy; 0x12uy; 0x82uy; 0xfauy; 0xfbuy; 0x69uy; 0xdauy; 0x92uy; 0x72uy; 0x8buy; 0x1auy; 0x71uy; 0xdeuy; 0x0auy; 0x9euy; 0x06uy; 0x0buy; 0x29uy; 0x05uy; 0xd6uy; 0xa5uy; 0xb6uy; 0x7euy; 0xcduy; 0x3buy; 0x36uy; 0x92uy; 0xdduy; 0xbduy; 0x7fuy; 0x2duy; 0x77uy; 0x8buy; 0x8cuy; 0x98uy; 0x03uy; 0xaeuy; 0xe3uy; 0x28uy; 0x09uy; 0x1buy; 0x58uy; 0xfauy; 0xb3uy; 0x24uy; 0xe4uy; 0xfauy; 0xd6uy; 0x75uy; 0x94uy; 0x55uy; 0x85uy; 0x80uy; 0x8buy; 0x48uy; 0x31uy; 0xd7uy; 0xbcuy; 0x3fuy; 0xf4uy; 0xdeuy; 0xf0uy; 0x8euy; 0x4buy; 0x7auy; 0x9duy; 0xe5uy; 0x76uy; 0xd2uy; 0x65uy; 0x86uy; 0xceuy; 0xc6uy; 0x4buy; 0x61uy; 0x16uy; ] in assert_norm (List.Tot.length l == 114); of_list l let test_mac : lbytes 16 = let l = List.Tot.map u8_from_UInt8 [ 0x1auy; 0xe1uy; 0x0buy; 0x59uy; 0x4fuy; 0x09uy; 0xe2uy; 0x6auy; 0x7euy; 0x90uy; 0x2euy; 0xcbuy; 0xd0uy; 0x60uy; 0x06uy; 0x91uy ] in assert_norm (List.Tot.length l == 16); of_list l #set-options "--ifuel 2" val test_aead: k:key -> n:nonce -> m:bytes{length m <= max_size_t} -> aad:bytes{length aad <= maxint U64} -> c_expected:bytes{length c_expected = length m} -> mac_expected:tag -> FStar.All.ML bool let test_aead k n m aad c_expected mac_expected = let enc = aead_encrypt k n m aad in let mlen = length m in let cipher, mac = Seq.slice enc 0 mlen, Seq.slice enc mlen (mlen + 16) in let dec = aead_decrypt k n c_expected mac_expected aad in IO.print_string "\n cipher:"; let res_c = PS.print_compare true mlen c_expected cipher in IO.print_string "\n mac:"; let res_m = PS.print_compare true 16 mac_expected mac in IO.print_string "\n plain:"; let res_p = if Some? dec then PS.print_compare true mlen m (Some?.v dec) else false in let res = res_c && res_m && res_p in if res then IO.print_string "\n Chacha20Poly1305 Test: Success!\n" else IO.print_string "\n Chacha20Poly1305 Test: Failure :(\n"; res
false
false
Spec.Chacha20Poly1305.Test.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 2, "max_fuel": 0, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val test : _: Prims.unit -> FStar.All.ALL Prims.bool
[]
Spec.Chacha20Poly1305.Test.test
{ "file_name": "specs/tests/Spec.Chacha20Poly1305.Test.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> FStar.All.ALL Prims.bool
{ "end_col": 74, "end_line": 131, "start_col": 13, "start_line": 124 }
Prims.Tot
val test_plaintext:lbytes 114
[ { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": true, "full_module": "Lib.PrintSequence", "short_module": "PS" }, { "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": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let test_plaintext : lbytes 114 = let l = List.Tot.map u8_from_UInt8 [ 0x4cuy; 0x61uy; 0x64uy; 0x69uy; 0x65uy; 0x73uy; 0x20uy; 0x61uy; 0x6euy; 0x64uy; 0x20uy; 0x47uy; 0x65uy; 0x6euy; 0x74uy; 0x6cuy; 0x65uy; 0x6duy; 0x65uy; 0x6euy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x20uy; 0x63uy; 0x6cuy; 0x61uy; 0x73uy; 0x73uy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x27uy; 0x39uy; 0x39uy; 0x3auy; 0x20uy; 0x49uy; 0x66uy; 0x20uy; 0x49uy; 0x20uy; 0x63uy; 0x6fuy; 0x75uy; 0x6cuy; 0x64uy; 0x20uy; 0x6fuy; 0x66uy; 0x66uy; 0x65uy; 0x72uy; 0x20uy; 0x79uy; 0x6fuy; 0x75uy; 0x20uy; 0x6fuy; 0x6euy; 0x6cuy; 0x79uy; 0x20uy; 0x6fuy; 0x6euy; 0x65uy; 0x20uy; 0x74uy; 0x69uy; 0x70uy; 0x20uy; 0x66uy; 0x6fuy; 0x72uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x20uy; 0x66uy; 0x75uy; 0x74uy; 0x75uy; 0x72uy; 0x65uy; 0x2cuy; 0x20uy; 0x73uy; 0x75uy; 0x6euy; 0x73uy; 0x63uy; 0x72uy; 0x65uy; 0x65uy; 0x6euy; 0x20uy; 0x77uy; 0x6fuy; 0x75uy; 0x6cuy; 0x64uy; 0x20uy; 0x62uy; 0x65uy; 0x20uy; 0x69uy; 0x74uy; 0x2euy ] in assert_norm (List.Tot.length l == 114); of_list l
val test_plaintext:lbytes 114 let test_plaintext:lbytes 114 =
false
null
false
let l = List.Tot.map u8_from_UInt8 [ 0x4cuy; 0x61uy; 0x64uy; 0x69uy; 0x65uy; 0x73uy; 0x20uy; 0x61uy; 0x6euy; 0x64uy; 0x20uy; 0x47uy; 0x65uy; 0x6euy; 0x74uy; 0x6cuy; 0x65uy; 0x6duy; 0x65uy; 0x6euy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x20uy; 0x63uy; 0x6cuy; 0x61uy; 0x73uy; 0x73uy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x27uy; 0x39uy; 0x39uy; 0x3auy; 0x20uy; 0x49uy; 0x66uy; 0x20uy; 0x49uy; 0x20uy; 0x63uy; 0x6fuy; 0x75uy; 0x6cuy; 0x64uy; 0x20uy; 0x6fuy; 0x66uy; 0x66uy; 0x65uy; 0x72uy; 0x20uy; 0x79uy; 0x6fuy; 0x75uy; 0x20uy; 0x6fuy; 0x6euy; 0x6cuy; 0x79uy; 0x20uy; 0x6fuy; 0x6euy; 0x65uy; 0x20uy; 0x74uy; 0x69uy; 0x70uy; 0x20uy; 0x66uy; 0x6fuy; 0x72uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x20uy; 0x66uy; 0x75uy; 0x74uy; 0x75uy; 0x72uy; 0x65uy; 0x2cuy; 0x20uy; 0x73uy; 0x75uy; 0x6euy; 0x73uy; 0x63uy; 0x72uy; 0x65uy; 0x65uy; 0x6euy; 0x20uy; 0x77uy; 0x6fuy; 0x75uy; 0x6cuy; 0x64uy; 0x20uy; 0x62uy; 0x65uy; 0x20uy; 0x69uy; 0x74uy; 0x2euy ] in assert_norm (List.Tot.length l == 114); of_list l
{ "checked_file": "Spec.Chacha20Poly1305.Test.fst.checked", "dependencies": [ "Spec.Chacha20Poly1305.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.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.IO.fst.checked", "FStar.All.fst.checked" ], "interface_file": false, "source_file": "Spec.Chacha20Poly1305.Test.fst" }
[ "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" ]
[]
module Spec.Chacha20Poly1305.Test open FStar.Mul open Lib.IntTypes open Lib.RawIntTypes open Lib.Sequence open Lib.ByteSequence module PS = Lib.PrintSequence open Spec.Chacha20Poly1305 #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" (* Tests: RFC7539 *) let test_key : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x80uy; 0x81uy; 0x82uy; 0x83uy; 0x84uy; 0x85uy; 0x86uy; 0x87uy; 0x88uy; 0x89uy; 0x8auy; 0x8buy; 0x8cuy; 0x8duy; 0x8euy; 0x8fuy; 0x90uy; 0x91uy; 0x92uy; 0x93uy; 0x94uy; 0x95uy; 0x96uy; 0x97uy; 0x98uy; 0x99uy; 0x9auy; 0x9buy; 0x9cuy; 0x9duy; 0x9euy; 0x9fuy ] in assert_norm (List.Tot.length l == 32); of_list l let test_nonce : lbytes 12 = let l = List.Tot.map u8_from_UInt8 [ 0x07uy; 0x00uy; 0x00uy; 0x00uy; 0x40uy; 0x41uy; 0x42uy; 0x43uy; 0x44uy; 0x45uy; 0x46uy; 0x47uy ] in assert_norm (List.Tot.length l == 12); of_list l
false
false
Spec.Chacha20Poly1305.Test.fst
{ "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" }
null
val test_plaintext:lbytes 114
[]
Spec.Chacha20Poly1305.Test.test_plaintext
{ "file_name": "specs/tests/Spec.Chacha20Poly1305.Test.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Lib.Sequence.lseq (Lib.IntTypes.int_t Lib.IntTypes.U8 Lib.IntTypes.SEC) 114
{ "end_col": 11, "end_line": 52, "start_col": 33, "start_line": 34 }
FStar.All.ML
val test_aead: k:key -> n:nonce -> m:bytes{length m <= max_size_t} -> aad:bytes{length aad <= maxint U64} -> c_expected:bytes{length c_expected = length m} -> mac_expected:tag -> FStar.All.ML bool
[ { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": true, "full_module": "Lib.PrintSequence", "short_module": "PS" }, { "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": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let test_aead k n m aad c_expected mac_expected = let enc = aead_encrypt k n m aad in let mlen = length m in let cipher, mac = Seq.slice enc 0 mlen, Seq.slice enc mlen (mlen + 16) in let dec = aead_decrypt k n c_expected mac_expected aad in IO.print_string "\n cipher:"; let res_c = PS.print_compare true mlen c_expected cipher in IO.print_string "\n mac:"; let res_m = PS.print_compare true 16 mac_expected mac in IO.print_string "\n plain:"; let res_p = if Some? dec then PS.print_compare true mlen m (Some?.v dec) else false in let res = res_c && res_m && res_p in if res then IO.print_string "\n Chacha20Poly1305 Test: Success!\n" else IO.print_string "\n Chacha20Poly1305 Test: Failure :(\n"; res
val test_aead: k:key -> n:nonce -> m:bytes{length m <= max_size_t} -> aad:bytes{length aad <= maxint U64} -> c_expected:bytes{length c_expected = length m} -> mac_expected:tag -> FStar.All.ML bool let test_aead k n m aad c_expected mac_expected =
true
null
false
let enc = aead_encrypt k n m aad in let mlen = length m in let cipher, mac = Seq.slice enc 0 mlen, Seq.slice enc mlen (mlen + 16) in let dec = aead_decrypt k n c_expected mac_expected aad in IO.print_string "\n cipher:"; let res_c = PS.print_compare true mlen c_expected cipher in IO.print_string "\n mac:"; let res_m = PS.print_compare true 16 mac_expected mac in IO.print_string "\n plain:"; let res_p = if Some? dec then PS.print_compare true mlen m (Some?.v dec) else false in let res = res_c && res_m && res_p in if res then IO.print_string "\n Chacha20Poly1305 Test: Success!\n" else IO.print_string "\n Chacha20Poly1305 Test: Failure :(\n"; res
{ "checked_file": "Spec.Chacha20Poly1305.Test.fst.checked", "dependencies": [ "Spec.Chacha20Poly1305.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.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.IO.fst.checked", "FStar.All.fst.checked" ], "interface_file": false, "source_file": "Spec.Chacha20Poly1305.Test.fst" }
[ "ml" ]
[ "Spec.Chacha20Poly1305.key", "Spec.Chacha20Poly1305.nonce", "Lib.ByteSequence.bytes", "Prims.b2t", "Prims.op_LessThanOrEqual", "Lib.Sequence.length", "Lib.IntTypes.uint_t", "Lib.IntTypes.U8", "Lib.IntTypes.SEC", "Lib.IntTypes.max_size_t", "Lib.IntTypes.maxint", "Lib.IntTypes.U64", "Prims.op_Equality", "Prims.nat", "Spec.Chacha20Poly1305.tag", "Lib.ByteSequence.lbytes", "Prims.bool", "Prims.unit", "FStar.IO.print_string", "Prims.op_AmpAmp", "FStar.Pervasives.Native.uu___is_Some", "Lib.PrintSequence.print_compare", "FStar.Pervasives.Native.__proj__Some__item__v", "FStar.Pervasives.Native.option", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Spec.Chacha20Poly1305.aead_decrypt", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.Mktuple2", "FStar.Seq.Base.slice", "Prims.op_Addition", "Lib.Sequence.seq", "Prims.eq2", "Prims.int", "Spec.Poly1305.size_block", "Spec.Chacha20Poly1305.aead_encrypt" ]
[]
module Spec.Chacha20Poly1305.Test open FStar.Mul open Lib.IntTypes open Lib.RawIntTypes open Lib.Sequence open Lib.ByteSequence module PS = Lib.PrintSequence open Spec.Chacha20Poly1305 #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" (* Tests: RFC7539 *) let test_key : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x80uy; 0x81uy; 0x82uy; 0x83uy; 0x84uy; 0x85uy; 0x86uy; 0x87uy; 0x88uy; 0x89uy; 0x8auy; 0x8buy; 0x8cuy; 0x8duy; 0x8euy; 0x8fuy; 0x90uy; 0x91uy; 0x92uy; 0x93uy; 0x94uy; 0x95uy; 0x96uy; 0x97uy; 0x98uy; 0x99uy; 0x9auy; 0x9buy; 0x9cuy; 0x9duy; 0x9euy; 0x9fuy ] in assert_norm (List.Tot.length l == 32); of_list l let test_nonce : lbytes 12 = let l = List.Tot.map u8_from_UInt8 [ 0x07uy; 0x00uy; 0x00uy; 0x00uy; 0x40uy; 0x41uy; 0x42uy; 0x43uy; 0x44uy; 0x45uy; 0x46uy; 0x47uy ] in assert_norm (List.Tot.length l == 12); of_list l let test_plaintext : lbytes 114 = let l = List.Tot.map u8_from_UInt8 [ 0x4cuy; 0x61uy; 0x64uy; 0x69uy; 0x65uy; 0x73uy; 0x20uy; 0x61uy; 0x6euy; 0x64uy; 0x20uy; 0x47uy; 0x65uy; 0x6euy; 0x74uy; 0x6cuy; 0x65uy; 0x6duy; 0x65uy; 0x6euy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x20uy; 0x63uy; 0x6cuy; 0x61uy; 0x73uy; 0x73uy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x27uy; 0x39uy; 0x39uy; 0x3auy; 0x20uy; 0x49uy; 0x66uy; 0x20uy; 0x49uy; 0x20uy; 0x63uy; 0x6fuy; 0x75uy; 0x6cuy; 0x64uy; 0x20uy; 0x6fuy; 0x66uy; 0x66uy; 0x65uy; 0x72uy; 0x20uy; 0x79uy; 0x6fuy; 0x75uy; 0x20uy; 0x6fuy; 0x6euy; 0x6cuy; 0x79uy; 0x20uy; 0x6fuy; 0x6euy; 0x65uy; 0x20uy; 0x74uy; 0x69uy; 0x70uy; 0x20uy; 0x66uy; 0x6fuy; 0x72uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x20uy; 0x66uy; 0x75uy; 0x74uy; 0x75uy; 0x72uy; 0x65uy; 0x2cuy; 0x20uy; 0x73uy; 0x75uy; 0x6euy; 0x73uy; 0x63uy; 0x72uy; 0x65uy; 0x65uy; 0x6euy; 0x20uy; 0x77uy; 0x6fuy; 0x75uy; 0x6cuy; 0x64uy; 0x20uy; 0x62uy; 0x65uy; 0x20uy; 0x69uy; 0x74uy; 0x2euy ] in assert_norm (List.Tot.length l == 114); of_list l let test_aad : lbytes 12 = let l = List.Tot.map u8_from_UInt8 [ 0x50uy; 0x51uy; 0x52uy; 0x53uy; 0xc0uy; 0xc1uy; 0xc2uy; 0xc3uy; 0xc4uy; 0xc5uy; 0xc6uy; 0xc7uy ] in assert_norm (List.Tot.length l == 12); of_list l let test_cipher : lbytes 114 = let l = List.Tot.map u8_from_UInt8 [ 0xd3uy; 0x1auy; 0x8duy; 0x34uy; 0x64uy; 0x8euy; 0x60uy; 0xdbuy; 0x7buy; 0x86uy; 0xafuy; 0xbcuy; 0x53uy; 0xefuy; 0x7euy; 0xc2uy; 0xa4uy; 0xaduy; 0xeduy; 0x51uy; 0x29uy; 0x6euy; 0x08uy; 0xfeuy; 0xa9uy; 0xe2uy; 0xb5uy; 0xa7uy; 0x36uy; 0xeeuy; 0x62uy; 0xd6uy; 0x3duy; 0xbeuy; 0xa4uy; 0x5euy; 0x8cuy; 0xa9uy; 0x67uy; 0x12uy; 0x82uy; 0xfauy; 0xfbuy; 0x69uy; 0xdauy; 0x92uy; 0x72uy; 0x8buy; 0x1auy; 0x71uy; 0xdeuy; 0x0auy; 0x9euy; 0x06uy; 0x0buy; 0x29uy; 0x05uy; 0xd6uy; 0xa5uy; 0xb6uy; 0x7euy; 0xcduy; 0x3buy; 0x36uy; 0x92uy; 0xdduy; 0xbduy; 0x7fuy; 0x2duy; 0x77uy; 0x8buy; 0x8cuy; 0x98uy; 0x03uy; 0xaeuy; 0xe3uy; 0x28uy; 0x09uy; 0x1buy; 0x58uy; 0xfauy; 0xb3uy; 0x24uy; 0xe4uy; 0xfauy; 0xd6uy; 0x75uy; 0x94uy; 0x55uy; 0x85uy; 0x80uy; 0x8buy; 0x48uy; 0x31uy; 0xd7uy; 0xbcuy; 0x3fuy; 0xf4uy; 0xdeuy; 0xf0uy; 0x8euy; 0x4buy; 0x7auy; 0x9duy; 0xe5uy; 0x76uy; 0xd2uy; 0x65uy; 0x86uy; 0xceuy; 0xc6uy; 0x4buy; 0x61uy; 0x16uy; ] in assert_norm (List.Tot.length l == 114); of_list l let test_mac : lbytes 16 = let l = List.Tot.map u8_from_UInt8 [ 0x1auy; 0xe1uy; 0x0buy; 0x59uy; 0x4fuy; 0x09uy; 0xe2uy; 0x6auy; 0x7euy; 0x90uy; 0x2euy; 0xcbuy; 0xd0uy; 0x60uy; 0x06uy; 0x91uy ] in assert_norm (List.Tot.length l == 16); of_list l #set-options "--ifuel 2" val test_aead: k:key -> n:nonce -> m:bytes{length m <= max_size_t} -> aad:bytes{length aad <= maxint U64} -> c_expected:bytes{length c_expected = length m} -> mac_expected:tag -> FStar.All.ML bool
false
false
Spec.Chacha20Poly1305.Test.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 2, "max_fuel": 0, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val test_aead: k:key -> n:nonce -> m:bytes{length m <= max_size_t} -> aad:bytes{length aad <= maxint U64} -> c_expected:bytes{length c_expected = length m} -> mac_expected:tag -> FStar.All.ML bool
[]
Spec.Chacha20Poly1305.Test.test_aead
{ "file_name": "specs/tests/Spec.Chacha20Poly1305.Test.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
k: Spec.Chacha20Poly1305.key -> n: Spec.Chacha20Poly1305.nonce -> m: Lib.ByteSequence.bytes{Lib.Sequence.length m <= Lib.IntTypes.max_size_t} -> aad: Lib.ByteSequence.bytes{Lib.Sequence.length aad <= Lib.IntTypes.maxint Lib.IntTypes.U64} -> c_expected: Lib.ByteSequence.bytes{Lib.Sequence.length c_expected = Lib.Sequence.length m} -> mac_expected: Spec.Chacha20Poly1305.tag -> FStar.All.ML Prims.bool
{ "end_col": 5, "end_line": 121, "start_col": 49, "start_line": 103 }
Prims.Tot
val test_cipher:lbytes 114
[ { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": true, "full_module": "Lib.PrintSequence", "short_module": "PS" }, { "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": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Spec.Chacha20Poly1305", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let test_cipher : lbytes 114 = let l = List.Tot.map u8_from_UInt8 [ 0xd3uy; 0x1auy; 0x8duy; 0x34uy; 0x64uy; 0x8euy; 0x60uy; 0xdbuy; 0x7buy; 0x86uy; 0xafuy; 0xbcuy; 0x53uy; 0xefuy; 0x7euy; 0xc2uy; 0xa4uy; 0xaduy; 0xeduy; 0x51uy; 0x29uy; 0x6euy; 0x08uy; 0xfeuy; 0xa9uy; 0xe2uy; 0xb5uy; 0xa7uy; 0x36uy; 0xeeuy; 0x62uy; 0xd6uy; 0x3duy; 0xbeuy; 0xa4uy; 0x5euy; 0x8cuy; 0xa9uy; 0x67uy; 0x12uy; 0x82uy; 0xfauy; 0xfbuy; 0x69uy; 0xdauy; 0x92uy; 0x72uy; 0x8buy; 0x1auy; 0x71uy; 0xdeuy; 0x0auy; 0x9euy; 0x06uy; 0x0buy; 0x29uy; 0x05uy; 0xd6uy; 0xa5uy; 0xb6uy; 0x7euy; 0xcduy; 0x3buy; 0x36uy; 0x92uy; 0xdduy; 0xbduy; 0x7fuy; 0x2duy; 0x77uy; 0x8buy; 0x8cuy; 0x98uy; 0x03uy; 0xaeuy; 0xe3uy; 0x28uy; 0x09uy; 0x1buy; 0x58uy; 0xfauy; 0xb3uy; 0x24uy; 0xe4uy; 0xfauy; 0xd6uy; 0x75uy; 0x94uy; 0x55uy; 0x85uy; 0x80uy; 0x8buy; 0x48uy; 0x31uy; 0xd7uy; 0xbcuy; 0x3fuy; 0xf4uy; 0xdeuy; 0xf0uy; 0x8euy; 0x4buy; 0x7auy; 0x9duy; 0xe5uy; 0x76uy; 0xd2uy; 0x65uy; 0x86uy; 0xceuy; 0xc6uy; 0x4buy; 0x61uy; 0x16uy; ] in assert_norm (List.Tot.length l == 114); of_list l
val test_cipher:lbytes 114 let test_cipher:lbytes 114 =
false
null
false
let l = List.Tot.map u8_from_UInt8 [ 0xd3uy; 0x1auy; 0x8duy; 0x34uy; 0x64uy; 0x8euy; 0x60uy; 0xdbuy; 0x7buy; 0x86uy; 0xafuy; 0xbcuy; 0x53uy; 0xefuy; 0x7euy; 0xc2uy; 0xa4uy; 0xaduy; 0xeduy; 0x51uy; 0x29uy; 0x6euy; 0x08uy; 0xfeuy; 0xa9uy; 0xe2uy; 0xb5uy; 0xa7uy; 0x36uy; 0xeeuy; 0x62uy; 0xd6uy; 0x3duy; 0xbeuy; 0xa4uy; 0x5euy; 0x8cuy; 0xa9uy; 0x67uy; 0x12uy; 0x82uy; 0xfauy; 0xfbuy; 0x69uy; 0xdauy; 0x92uy; 0x72uy; 0x8buy; 0x1auy; 0x71uy; 0xdeuy; 0x0auy; 0x9euy; 0x06uy; 0x0buy; 0x29uy; 0x05uy; 0xd6uy; 0xa5uy; 0xb6uy; 0x7euy; 0xcduy; 0x3buy; 0x36uy; 0x92uy; 0xdduy; 0xbduy; 0x7fuy; 0x2duy; 0x77uy; 0x8buy; 0x8cuy; 0x98uy; 0x03uy; 0xaeuy; 0xe3uy; 0x28uy; 0x09uy; 0x1buy; 0x58uy; 0xfauy; 0xb3uy; 0x24uy; 0xe4uy; 0xfauy; 0xd6uy; 0x75uy; 0x94uy; 0x55uy; 0x85uy; 0x80uy; 0x8buy; 0x48uy; 0x31uy; 0xd7uy; 0xbcuy; 0x3fuy; 0xf4uy; 0xdeuy; 0xf0uy; 0x8euy; 0x4buy; 0x7auy; 0x9duy; 0xe5uy; 0x76uy; 0xd2uy; 0x65uy; 0x86uy; 0xceuy; 0xc6uy; 0x4buy; 0x61uy; 0x16uy ] in assert_norm (List.Tot.length l == 114); of_list l
{ "checked_file": "Spec.Chacha20Poly1305.Test.fst.checked", "dependencies": [ "Spec.Chacha20Poly1305.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.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.IO.fst.checked", "FStar.All.fst.checked" ], "interface_file": false, "source_file": "Spec.Chacha20Poly1305.Test.fst" }
[ "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" ]
[]
module Spec.Chacha20Poly1305.Test open FStar.Mul open Lib.IntTypes open Lib.RawIntTypes open Lib.Sequence open Lib.ByteSequence module PS = Lib.PrintSequence open Spec.Chacha20Poly1305 #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" (* Tests: RFC7539 *) let test_key : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x80uy; 0x81uy; 0x82uy; 0x83uy; 0x84uy; 0x85uy; 0x86uy; 0x87uy; 0x88uy; 0x89uy; 0x8auy; 0x8buy; 0x8cuy; 0x8duy; 0x8euy; 0x8fuy; 0x90uy; 0x91uy; 0x92uy; 0x93uy; 0x94uy; 0x95uy; 0x96uy; 0x97uy; 0x98uy; 0x99uy; 0x9auy; 0x9buy; 0x9cuy; 0x9duy; 0x9euy; 0x9fuy ] in assert_norm (List.Tot.length l == 32); of_list l let test_nonce : lbytes 12 = let l = List.Tot.map u8_from_UInt8 [ 0x07uy; 0x00uy; 0x00uy; 0x00uy; 0x40uy; 0x41uy; 0x42uy; 0x43uy; 0x44uy; 0x45uy; 0x46uy; 0x47uy ] in assert_norm (List.Tot.length l == 12); of_list l let test_plaintext : lbytes 114 = let l = List.Tot.map u8_from_UInt8 [ 0x4cuy; 0x61uy; 0x64uy; 0x69uy; 0x65uy; 0x73uy; 0x20uy; 0x61uy; 0x6euy; 0x64uy; 0x20uy; 0x47uy; 0x65uy; 0x6euy; 0x74uy; 0x6cuy; 0x65uy; 0x6duy; 0x65uy; 0x6euy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x20uy; 0x63uy; 0x6cuy; 0x61uy; 0x73uy; 0x73uy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x27uy; 0x39uy; 0x39uy; 0x3auy; 0x20uy; 0x49uy; 0x66uy; 0x20uy; 0x49uy; 0x20uy; 0x63uy; 0x6fuy; 0x75uy; 0x6cuy; 0x64uy; 0x20uy; 0x6fuy; 0x66uy; 0x66uy; 0x65uy; 0x72uy; 0x20uy; 0x79uy; 0x6fuy; 0x75uy; 0x20uy; 0x6fuy; 0x6euy; 0x6cuy; 0x79uy; 0x20uy; 0x6fuy; 0x6euy; 0x65uy; 0x20uy; 0x74uy; 0x69uy; 0x70uy; 0x20uy; 0x66uy; 0x6fuy; 0x72uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x20uy; 0x66uy; 0x75uy; 0x74uy; 0x75uy; 0x72uy; 0x65uy; 0x2cuy; 0x20uy; 0x73uy; 0x75uy; 0x6euy; 0x73uy; 0x63uy; 0x72uy; 0x65uy; 0x65uy; 0x6euy; 0x20uy; 0x77uy; 0x6fuy; 0x75uy; 0x6cuy; 0x64uy; 0x20uy; 0x62uy; 0x65uy; 0x20uy; 0x69uy; 0x74uy; 0x2euy ] in assert_norm (List.Tot.length l == 114); of_list l let test_aad : lbytes 12 = let l = List.Tot.map u8_from_UInt8 [ 0x50uy; 0x51uy; 0x52uy; 0x53uy; 0xc0uy; 0xc1uy; 0xc2uy; 0xc3uy; 0xc4uy; 0xc5uy; 0xc6uy; 0xc7uy ] in assert_norm (List.Tot.length l == 12); of_list l
false
false
Spec.Chacha20Poly1305.Test.fst
{ "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" }
null
val test_cipher:lbytes 114
[]
Spec.Chacha20Poly1305.Test.test_cipher
{ "file_name": "specs/tests/Spec.Chacha20Poly1305.Test.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Lib.Sequence.lseq (Lib.IntTypes.int_t Lib.IntTypes.U8 Lib.IntTypes.SEC) 114
{ "end_col": 11, "end_line": 81, "start_col": 30, "start_line": 63 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Reflection.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let distribute_right_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = let ( + ) = cm_add.mult in let ( * ) = cm_mult.mult in x:a -> y:a -> z:a -> Lemma ((x + y) * z == x * z + y * z)
let distribute_right_lemma (a: Type) (cm_add cm_mult: cm a) =
false
null
false
let ( + ) = cm_add.mult in let ( * ) = cm_mult.mult in x: a -> y: a -> z: a -> Lemma ((x + y) * z == x * z + y * z)
{ "checked_file": "FStar.Tactics.CanonCommSemiring.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.fst.checked", "FStar.Reflection.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Calc.fsti.checked", "FStar.Algebra.CommMonoid.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommSemiring.fst" }
[ "total" ]
[ "FStar.Algebra.CommMonoid.cm", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.eq2", "Prims.Nil", "FStar.Pervasives.pattern", "FStar.Algebra.CommMonoid.__proj__CM__item__mult" ]
[]
(* Copyright 2008-2019 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 FStar.Tactics.CanonCommSemiring /// A tactic to solve equalities on a commutative semiring (a, +, *, 0, 1) /// /// The tactic [canon_semiring] is parameterized by the base type [a] and /// a semiring theory [cr a]. This requires: /// /// - A commutative monoid (a, +, 0) for addition /// That is, + is associative, commutative and has identity element 0 /// - An additive inverse operator for (a, +, 0), making it an Abelian group /// That is, a + -a = 0 /// - A commutative monoid (a, *, 1) for multiplication /// That is, * is associative, commutative and has identity element 1 /// - Multiplication left-distributes over addition /// That is, a * (b + c) == a * b + a * c /// - 0 is an absorbing element of multiplication /// That is, 0 * a = 0 /// /// In contrast to the previous version of FStar.Tactics.CanonCommSemiring, /// the tactic defined here canonizes products, additions and additive inverses, /// collects coefficients in monomials, and eliminates trivial expressions. /// /// This is based on the legacy (second) version of Coq's ring tactic: /// - https://github.com/coq-contribs/legacy-ring/ /// /// See also the newest ring tactic in Coq, which is even more general /// and efficient: /// - https://coq.inria.fr/refman/addendum/ring.html /// - http://www.cs.ru.nl/~freek/courses/tt-2014/read/10.1.1.61.3041.pdf open FStar.List open FStar.Reflection.V2 open FStar.Tactics.V2 open FStar.Algebra.CommMonoid let term_eq = FStar.Tactics.term_eq_old (** An attribute for marking definitions to unfold by the tactic *) irreducible let canon_attr = () /// /// Commutative semiring theory /// let distribute_left_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = let ( + ) = cm_add.mult in let ( * ) = cm_mult.mult in x:a -> y:a -> z:a -> Lemma (x * (y + z) == x * y + x * z)
false
false
FStar.Tactics.CanonCommSemiring.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val distribute_right_lemma : a: Type -> cm_add: FStar.Algebra.CommMonoid.cm a -> cm_mult: FStar.Algebra.CommMonoid.cm a -> Type
[]
FStar.Tactics.CanonCommSemiring.distribute_right_lemma
{ "file_name": "ulib/FStar.Tactics.CanonCommSemiring.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
a: Type -> cm_add: FStar.Algebra.CommMonoid.cm a -> cm_mult: FStar.Algebra.CommMonoid.cm a -> Type
{ "end_col": 59, "end_line": 68, "start_col": 66, "start_line": 65 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Reflection.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let mult_zero_l_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = x:a -> Lemma (cm_mult.mult cm_add.unit x == cm_add.unit)
let mult_zero_l_lemma (a: Type) (cm_add cm_mult: cm a) =
false
null
false
x: a -> Lemma (cm_mult.mult cm_add.unit x == cm_add.unit)
{ "checked_file": "FStar.Tactics.CanonCommSemiring.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.fst.checked", "FStar.Reflection.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Calc.fsti.checked", "FStar.Algebra.CommMonoid.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommSemiring.fst" }
[ "total" ]
[ "FStar.Algebra.CommMonoid.cm", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.eq2", "FStar.Algebra.CommMonoid.__proj__CM__item__mult", "FStar.Algebra.CommMonoid.__proj__CM__item__unit", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
(* Copyright 2008-2019 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 FStar.Tactics.CanonCommSemiring /// A tactic to solve equalities on a commutative semiring (a, +, *, 0, 1) /// /// The tactic [canon_semiring] is parameterized by the base type [a] and /// a semiring theory [cr a]. This requires: /// /// - A commutative monoid (a, +, 0) for addition /// That is, + is associative, commutative and has identity element 0 /// - An additive inverse operator for (a, +, 0), making it an Abelian group /// That is, a + -a = 0 /// - A commutative monoid (a, *, 1) for multiplication /// That is, * is associative, commutative and has identity element 1 /// - Multiplication left-distributes over addition /// That is, a * (b + c) == a * b + a * c /// - 0 is an absorbing element of multiplication /// That is, 0 * a = 0 /// /// In contrast to the previous version of FStar.Tactics.CanonCommSemiring, /// the tactic defined here canonizes products, additions and additive inverses, /// collects coefficients in monomials, and eliminates trivial expressions. /// /// This is based on the legacy (second) version of Coq's ring tactic: /// - https://github.com/coq-contribs/legacy-ring/ /// /// See also the newest ring tactic in Coq, which is even more general /// and efficient: /// - https://coq.inria.fr/refman/addendum/ring.html /// - http://www.cs.ru.nl/~freek/courses/tt-2014/read/10.1.1.61.3041.pdf open FStar.List open FStar.Reflection.V2 open FStar.Tactics.V2 open FStar.Algebra.CommMonoid let term_eq = FStar.Tactics.term_eq_old (** An attribute for marking definitions to unfold by the tactic *) irreducible let canon_attr = () /// /// Commutative semiring theory /// let distribute_left_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = let ( + ) = cm_add.mult in let ( * ) = cm_mult.mult in x:a -> y:a -> z:a -> Lemma (x * (y + z) == x * y + x * z) let distribute_right_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = let ( + ) = cm_add.mult in let ( * ) = cm_mult.mult in x:a -> y:a -> z:a -> Lemma ((x + y) * z == x * z + y * z)
false
false
FStar.Tactics.CanonCommSemiring.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val mult_zero_l_lemma : a: Type -> cm_add: FStar.Algebra.CommMonoid.cm a -> cm_mult: FStar.Algebra.CommMonoid.cm a -> Type
[]
FStar.Tactics.CanonCommSemiring.mult_zero_l_lemma
{ "file_name": "ulib/FStar.Tactics.CanonCommSemiring.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
a: Type -> cm_add: FStar.Algebra.CommMonoid.cm a -> cm_mult: FStar.Algebra.CommMonoid.cm a -> Type
{ "end_col": 58, "end_line": 71, "start_col": 2, "start_line": 71 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Reflection.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let add_opp_r_lemma (a:Type) (cm_add:cm a) (opp:(a -> a)) = let ( + ) = cm_add.mult in x:a -> Lemma (x + opp x == cm_add.unit)
let add_opp_r_lemma (a: Type) (cm_add: cm a) (opp: (a -> a)) =
false
null
false
let ( + ) = cm_add.mult in x: a -> Lemma (x + opp x == cm_add.unit)
{ "checked_file": "FStar.Tactics.CanonCommSemiring.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.fst.checked", "FStar.Reflection.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Calc.fsti.checked", "FStar.Algebra.CommMonoid.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommSemiring.fst" }
[ "total" ]
[ "FStar.Algebra.CommMonoid.cm", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.eq2", "FStar.Algebra.CommMonoid.__proj__CM__item__unit", "Prims.Nil", "FStar.Pervasives.pattern", "FStar.Algebra.CommMonoid.__proj__CM__item__mult" ]
[]
(* Copyright 2008-2019 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 FStar.Tactics.CanonCommSemiring /// A tactic to solve equalities on a commutative semiring (a, +, *, 0, 1) /// /// The tactic [canon_semiring] is parameterized by the base type [a] and /// a semiring theory [cr a]. This requires: /// /// - A commutative monoid (a, +, 0) for addition /// That is, + is associative, commutative and has identity element 0 /// - An additive inverse operator for (a, +, 0), making it an Abelian group /// That is, a + -a = 0 /// - A commutative monoid (a, *, 1) for multiplication /// That is, * is associative, commutative and has identity element 1 /// - Multiplication left-distributes over addition /// That is, a * (b + c) == a * b + a * c /// - 0 is an absorbing element of multiplication /// That is, 0 * a = 0 /// /// In contrast to the previous version of FStar.Tactics.CanonCommSemiring, /// the tactic defined here canonizes products, additions and additive inverses, /// collects coefficients in monomials, and eliminates trivial expressions. /// /// This is based on the legacy (second) version of Coq's ring tactic: /// - https://github.com/coq-contribs/legacy-ring/ /// /// See also the newest ring tactic in Coq, which is even more general /// and efficient: /// - https://coq.inria.fr/refman/addendum/ring.html /// - http://www.cs.ru.nl/~freek/courses/tt-2014/read/10.1.1.61.3041.pdf open FStar.List open FStar.Reflection.V2 open FStar.Tactics.V2 open FStar.Algebra.CommMonoid let term_eq = FStar.Tactics.term_eq_old (** An attribute for marking definitions to unfold by the tactic *) irreducible let canon_attr = () /// /// Commutative semiring theory /// let distribute_left_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = let ( + ) = cm_add.mult in let ( * ) = cm_mult.mult in x:a -> y:a -> z:a -> Lemma (x * (y + z) == x * y + x * z) let distribute_right_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = let ( + ) = cm_add.mult in let ( * ) = cm_mult.mult in x:a -> y:a -> z:a -> Lemma ((x + y) * z == x * z + y * z) let mult_zero_l_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = x:a -> Lemma (cm_mult.mult cm_add.unit x == cm_add.unit)
false
false
FStar.Tactics.CanonCommSemiring.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val add_opp_r_lemma : a: Type -> cm_add: FStar.Algebra.CommMonoid.cm a -> opp: (_: a -> a) -> Type
[]
FStar.Tactics.CanonCommSemiring.add_opp_r_lemma
{ "file_name": "ulib/FStar.Tactics.CanonCommSemiring.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
a: Type -> cm_add: FStar.Algebra.CommMonoid.cm a -> opp: (_: a -> a) -> Type
{ "end_col": 41, "end_line": 75, "start_col": 59, "start_line": 73 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Reflection.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let interp_var (#a:Type) (vm:vmap a) (i:index) = match List.Tot.Base.assoc i (fst vm) with | Some x -> x | _ -> snd vm
let interp_var (#a: Type) (vm: vmap a) (i: index) =
false
null
false
match List.Tot.Base.assoc i (fst vm) with | Some x -> x | _ -> snd vm
{ "checked_file": "FStar.Tactics.CanonCommSemiring.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.fst.checked", "FStar.Reflection.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Calc.fsti.checked", "FStar.Algebra.CommMonoid.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommSemiring.fst" }
[ "total" ]
[ "FStar.Tactics.CanonCommSemiring.vmap", "FStar.Tactics.CanonCommSemiring.index", "FStar.List.Tot.Base.assoc", "FStar.Reflection.V2.Data.var", "FStar.Pervasives.Native.fst", "Prims.list", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.snd" ]
[]
(* Copyright 2008-2019 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 FStar.Tactics.CanonCommSemiring /// A tactic to solve equalities on a commutative semiring (a, +, *, 0, 1) /// /// The tactic [canon_semiring] is parameterized by the base type [a] and /// a semiring theory [cr a]. This requires: /// /// - A commutative monoid (a, +, 0) for addition /// That is, + is associative, commutative and has identity element 0 /// - An additive inverse operator for (a, +, 0), making it an Abelian group /// That is, a + -a = 0 /// - A commutative monoid (a, *, 1) for multiplication /// That is, * is associative, commutative and has identity element 1 /// - Multiplication left-distributes over addition /// That is, a * (b + c) == a * b + a * c /// - 0 is an absorbing element of multiplication /// That is, 0 * a = 0 /// /// In contrast to the previous version of FStar.Tactics.CanonCommSemiring, /// the tactic defined here canonizes products, additions and additive inverses, /// collects coefficients in monomials, and eliminates trivial expressions. /// /// This is based on the legacy (second) version of Coq's ring tactic: /// - https://github.com/coq-contribs/legacy-ring/ /// /// See also the newest ring tactic in Coq, which is even more general /// and efficient: /// - https://coq.inria.fr/refman/addendum/ring.html /// - http://www.cs.ru.nl/~freek/courses/tt-2014/read/10.1.1.61.3041.pdf open FStar.List open FStar.Reflection.V2 open FStar.Tactics.V2 open FStar.Algebra.CommMonoid let term_eq = FStar.Tactics.term_eq_old (** An attribute for marking definitions to unfold by the tactic *) irreducible let canon_attr = () /// /// Commutative semiring theory /// let distribute_left_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = let ( + ) = cm_add.mult in let ( * ) = cm_mult.mult in x:a -> y:a -> z:a -> Lemma (x * (y + z) == x * y + x * z) let distribute_right_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = let ( + ) = cm_add.mult in let ( * ) = cm_mult.mult in x:a -> y:a -> z:a -> Lemma ((x + y) * z == x * z + y * z) let mult_zero_l_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = x:a -> Lemma (cm_mult.mult cm_add.unit x == cm_add.unit) let add_opp_r_lemma (a:Type) (cm_add:cm a) (opp:(a -> a)) = let ( + ) = cm_add.mult in x:a -> Lemma (x + opp x == cm_add.unit) [@@canon_attr] unopteq type cr (a:Type) = | CR : cm_add: cm a -> cm_mult: cm a -> opp: (a -> a) -> add_opp: add_opp_r_lemma a cm_add opp -> distribute: distribute_left_lemma a cm_add cm_mult -> mult_zero_l: mult_zero_l_lemma a cm_add cm_mult -> cr a let distribute_right (#a:Type) (r:cr a) : distribute_right_lemma a r.cm_add r.cm_mult = fun x y z -> r.cm_mult.commutativity (r.cm_add.mult x y) z; r.distribute z x y; r.cm_mult.commutativity x z; r.cm_mult.commutativity y z /// /// Syntax of canonical ring expressions /// (** * Marking expressions we would like to normalize fully. * This does not do anything at the moment, but it would be nice * to have a cheap mechanism to make this work without traversing the * whole goal. **) [@@canon_attr] unfold let norm_fully (#a:Type) (x:a) = x let index: eqtype = nat (* * A list of variables represents a sorted product of one or more variables. * We do not need to prove sortedness to prove correctness, so we never * make it explicit. *) type varlist = | Nil_var : varlist | Cons_var : index -> varlist -> varlist (* * A canonical expression represents an ordered sum of monomials. * Each monomial is either: * - a varlist (a product of variables): x1 * ... * xk * - a product of a scalar and a varlist: c * x1 * ... * xk * * The order on monomials is the lexicographic order on varlist, with the * additional convention that monomials with a scalar are less than monomials * without a scalar. *) type canonical_sum a = | Nil_monom : canonical_sum a | Cons_monom : a -> varlist -> canonical_sum a -> canonical_sum a | Cons_varlist : varlist -> canonical_sum a -> canonical_sum a [@@canon_attr] let rec varlist_lt (x y:varlist) : bool = match x, y with | Nil_var, Cons_var _ _ -> true | Cons_var i xs, Cons_var j ys -> if i < j then true else i = j && varlist_lt xs ys | _, _ -> false [@@canon_attr] val varlist_merge: l1:varlist -> l2:varlist -> Tot varlist (decreases %[l1; l2; 0]) [@@canon_attr] val vm_aux: index -> t1:varlist -> l2:varlist -> Tot varlist (decreases %[t1; l2; 1]) (* Merges two lists of variables, preserving sortedness *) [@@canon_attr] let rec varlist_merge l1 l2 = match l1, l2 with | _, Nil_var -> l1 | Nil_var, _ -> l2 | Cons_var v1 t1, Cons_var v2 t2 -> vm_aux v1 t1 l2 and vm_aux v1 t1 l2 = match l2 with | Cons_var v2 t2 -> if v1 < v2 then Cons_var v1 (varlist_merge t1 l2) else Cons_var v2 (vm_aux v1 t1 t2) | _ -> Cons_var v1 t1 (* * Merges two canonical expressions * * We require that [a] is eqtype for better reasons later. * Here it is convenient to fix the universe of [a] in * mutually recursive functions. *) [@@canon_attr] val canonical_sum_merge : #a:eqtype -> cr a -> s1:canonical_sum a -> s2:canonical_sum a -> Tot (canonical_sum a) (decreases %[s1; s2; 0]) [@@canon_attr] val csm_aux: #a:eqtype -> r:cr a -> c1:a -> l1:varlist -> t1:canonical_sum a -> s2:canonical_sum a -> Tot (canonical_sum a) (decreases %[t1; s2; 1]) [@@canon_attr] let rec canonical_sum_merge #a r s1 s2 = let aplus = r.cm_add.mult in let aone = r.cm_mult.unit in match s1 with | Cons_monom c1 l1 t1 -> csm_aux r c1 l1 t1 s2 | Cons_varlist l1 t1 -> csm_aux r aone l1 t1 s2 | Nil_monom -> s2 and csm_aux #a r c1 l1 t1 s2 = let aplus = r.cm_add.mult in let aone = r.cm_mult.unit in match s2 with | Cons_monom c2 l2 t2 -> if l1 = l2 then Cons_monom (norm_fully (aplus c1 c2)) l1 (canonical_sum_merge r t1 t2) else if varlist_lt l1 l2 then Cons_monom c1 l1 (canonical_sum_merge r t1 s2) else Cons_monom c2 l2 (csm_aux #a r c1 l1 t1 t2) | Cons_varlist l2 t2 -> if l1 = l2 then Cons_monom (norm_fully (aplus c1 aone)) l1 (canonical_sum_merge r t1 t2) else if varlist_lt l1 l2 then Cons_monom c1 l1 (canonical_sum_merge r t1 s2) else Cons_varlist l2 (csm_aux r c1 l1 t1 t2) | Nil_monom -> //if c1 = aone then Cons_varlist l1 t1 else Cons_monom c1 l1 t1 (* Inserts a monomial into the appropriate position in a canonical sum *) val monom_insert: #a:eqtype -> r:cr a -> c1:a -> l1:varlist -> s2:canonical_sum a -> canonical_sum a [@@canon_attr] let rec monom_insert #a r c1 l1 s2 = let aplus = r.cm_add.mult in let aone = r.cm_mult.unit in match s2 with | Cons_monom c2 l2 t2 -> if l1 = l2 then Cons_monom (norm_fully (aplus c1 c2)) l1 t2 else if varlist_lt l1 l2 then Cons_monom c1 l1 s2 else Cons_monom c2 l2 (monom_insert r c1 l1 t2) | Cons_varlist l2 t2 -> if l1 = l2 then Cons_monom (norm_fully (aplus c1 aone)) l1 t2 else if varlist_lt l1 l2 then Cons_monom c1 l1 s2 else Cons_varlist l2 (monom_insert r c1 l1 t2) | Nil_monom -> if c1 = aone then Cons_varlist l1 Nil_monom else Cons_monom c1 l1 Nil_monom (* Inserts a monomial without scalar into a canonical sum *) val varlist_insert: #a:eqtype -> cr a -> varlist -> canonical_sum a -> canonical_sum a [@@canon_attr] let varlist_insert #a r l1 s2 = let aone = r.cm_mult.unit in monom_insert r aone l1 s2 (* Multiplies a sum by a scalar c0 *) val canonical_sum_scalar: #a:Type -> cr a -> a -> canonical_sum a -> canonical_sum a [@@canon_attr] let rec canonical_sum_scalar #a r c0 s = let amult = r.cm_mult.mult in match s with | Cons_monom c l t -> Cons_monom (norm_fully (amult c0 c)) l (canonical_sum_scalar r c0 t) | Cons_varlist l t -> Cons_monom c0 l (canonical_sum_scalar r c0 t) | Nil_monom -> Nil_monom (* Multiplies a sum by a monomial without scalar *) val canonical_sum_scalar2: #a:eqtype -> cr a -> varlist -> canonical_sum a -> canonical_sum a [@@canon_attr] let rec canonical_sum_scalar2 #a r l0 s = match s with | Cons_monom c l t -> monom_insert r c (varlist_merge l0 l) (canonical_sum_scalar2 r l0 t) | Cons_varlist l t -> varlist_insert r (varlist_merge l0 l) (canonical_sum_scalar2 r l0 t) | Nil_monom -> Nil_monom (* Multiplies a sum by a monomial with scalar *) val canonical_sum_scalar3: #a:eqtype -> cr a -> a -> varlist -> canonical_sum a -> canonical_sum a [@@canon_attr] let rec canonical_sum_scalar3 #a r c0 l0 s = let amult = r.cm_mult.mult in match s with | Cons_monom c l t -> monom_insert r (norm_fully (amult c0 c)) (varlist_merge l0 l) (canonical_sum_scalar3 r c0 l0 t) | Cons_varlist l t -> monom_insert r c0 (varlist_merge l0 l) (canonical_sum_scalar3 r c0 l0 t) | Nil_monom -> s (* Multiplies two canonical sums *) val canonical_sum_prod: #a:eqtype -> cr a -> canonical_sum a -> canonical_sum a -> canonical_sum a [@@canon_attr] let rec canonical_sum_prod #a r s1 s2 = match s1 with | Cons_monom c1 l1 t1 -> canonical_sum_merge r (canonical_sum_scalar3 r c1 l1 s2) (canonical_sum_prod r t1 s2) | Cons_varlist l1 t1 -> canonical_sum_merge r (canonical_sum_scalar2 r l1 s2) (canonical_sum_prod r t1 s2) | Nil_monom -> s1 /// /// Syntax of concrete semiring polynomials /// (* This is the type where we reflect expressions before normalization *) type spolynomial a = | SPvar : index -> spolynomial a | SPconst : a -> spolynomial a | SPplus : spolynomial a -> spolynomial a -> spolynomial a | SPmult : spolynomial a -> spolynomial a -> spolynomial a (** Canonize a reflected expression *) val spolynomial_normalize: #a:eqtype -> cr a -> spolynomial a -> canonical_sum a [@@canon_attr] let rec spolynomial_normalize #a r p = match p with | SPvar i -> Cons_varlist (Cons_var i Nil_var) Nil_monom | SPconst c -> Cons_monom c Nil_var Nil_monom | SPplus l q -> canonical_sum_merge r (spolynomial_normalize r l) (spolynomial_normalize r q) | SPmult l q -> canonical_sum_prod r (spolynomial_normalize r l) (spolynomial_normalize r q) (** * Simplify a canonical sum. * Removes 0 * x1 * ... * xk and turns 1 * x1 * ... * xk into x1 * ... * xk **) val canonical_sum_simplify: #a:eqtype -> cr a -> canonical_sum a -> canonical_sum a [@@canon_attr] let rec canonical_sum_simplify #a r s = let azero = r.cm_add.unit in let aone = r.cm_mult.unit in let aplus = r.cm_add.mult in match s with | Cons_monom c l t -> if norm_fully (c = azero) then canonical_sum_simplify r t else if norm_fully (c = aone) then Cons_varlist l (canonical_sum_simplify r t) else Cons_monom c l (canonical_sum_simplify r t) | Cons_varlist l t -> Cons_varlist l (canonical_sum_simplify r t) | Nil_monom -> s (** * The main canonization algorithm: turn an expression into a sum and * simplify it. **) val spolynomial_simplify: #a:eqtype -> cr a -> spolynomial a -> canonical_sum a [@@canon_attr] let spolynomial_simplify #a r p = canonical_sum_simplify r (spolynomial_normalize r p) /// /// Interpretation of varlists, monomials and canonical sums /// (** * The variable map: * This maps polynomial variables to ring expressions. That is, any term * that is not an addition or a multiplication is turned into a variable * * The representation is inefficient. For large terms it might be worthwhile * using a better data structure. **) let vmap a = list (var * a) * a (** Add a new entry in a variable map *) let update (#a:Type) (x:var) (xa:a) (vm:vmap a) : vmap a = let l, y = vm in (x, xa) :: l, y (** Quotes a list *) let rec quote_list (#a:Type) (ta:term) (quotea:a -> Tac term) (xs:list a) : Tac term = match xs with | [] -> mk_app (`Nil) [(ta, Q_Implicit)] | x::xs' -> mk_app (`Cons) [(ta, Q_Implicit); (quotea x, Q_Explicit); (quote_list ta quotea xs', Q_Explicit)] (** Quotes a variable map *) let quote_vm (#a:Type) (ta: term) (quotea:a -> Tac term) (vm:vmap a) : Tac term = let quote_map_entry (p:(nat * a)) : Tac term = mk_app (`Mktuple2) [(`nat, Q_Implicit); (ta, Q_Implicit); (pack (Tv_Const (C_Int (fst p))), Q_Explicit); (quotea (snd p), Q_Explicit)] in let tyentry = mk_e_app (`tuple2) [(`nat); ta] in let tlist = quote_list tyentry quote_map_entry (fst vm) in let tylist = mk_e_app (`list) [tyentry] in mk_app (`Mktuple2) [(tylist, Q_Implicit); (ta, Q_Implicit); (tlist, Q_Explicit); (quotea (snd vm), Q_Explicit)] (** * A varlist is interpreted as the product of the entries in the variable map * * Unbound variables are mapped to the default value according to the map. * This would normally never occur, but it makes it easy to prove correctness. *) [@@canon_attr]
false
false
FStar.Tactics.CanonCommSemiring.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val interp_var : vm: FStar.Tactics.CanonCommSemiring.vmap a -> i: FStar.Tactics.CanonCommSemiring.index -> a
[]
FStar.Tactics.CanonCommSemiring.interp_var
{ "file_name": "ulib/FStar.Tactics.CanonCommSemiring.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
vm: FStar.Tactics.CanonCommSemiring.vmap a -> i: FStar.Tactics.CanonCommSemiring.index -> a
{ "end_col": 15, "end_line": 408, "start_col": 2, "start_line": 406 }
Prims.Tot
val varlist_insert: #a:eqtype -> cr a -> varlist -> canonical_sum a -> canonical_sum a
[ { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Reflection.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let varlist_insert #a r l1 s2 = let aone = r.cm_mult.unit in monom_insert r aone l1 s2
val varlist_insert: #a:eqtype -> cr a -> varlist -> canonical_sum a -> canonical_sum a let varlist_insert #a r l1 s2 =
false
null
false
let aone = r.cm_mult.unit in monom_insert r aone l1 s2
{ "checked_file": "FStar.Tactics.CanonCommSemiring.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.fst.checked", "FStar.Reflection.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Calc.fsti.checked", "FStar.Algebra.CommMonoid.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommSemiring.fst" }
[ "total" ]
[ "Prims.eqtype", "FStar.Tactics.CanonCommSemiring.cr", "FStar.Tactics.CanonCommSemiring.varlist", "FStar.Tactics.CanonCommSemiring.canonical_sum", "FStar.Tactics.CanonCommSemiring.monom_insert", "FStar.Algebra.CommMonoid.__proj__CM__item__unit", "FStar.Tactics.CanonCommSemiring.__proj__CR__item__cm_mult" ]
[]
(* Copyright 2008-2019 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 FStar.Tactics.CanonCommSemiring /// A tactic to solve equalities on a commutative semiring (a, +, *, 0, 1) /// /// The tactic [canon_semiring] is parameterized by the base type [a] and /// a semiring theory [cr a]. This requires: /// /// - A commutative monoid (a, +, 0) for addition /// That is, + is associative, commutative and has identity element 0 /// - An additive inverse operator for (a, +, 0), making it an Abelian group /// That is, a + -a = 0 /// - A commutative monoid (a, *, 1) for multiplication /// That is, * is associative, commutative and has identity element 1 /// - Multiplication left-distributes over addition /// That is, a * (b + c) == a * b + a * c /// - 0 is an absorbing element of multiplication /// That is, 0 * a = 0 /// /// In contrast to the previous version of FStar.Tactics.CanonCommSemiring, /// the tactic defined here canonizes products, additions and additive inverses, /// collects coefficients in monomials, and eliminates trivial expressions. /// /// This is based on the legacy (second) version of Coq's ring tactic: /// - https://github.com/coq-contribs/legacy-ring/ /// /// See also the newest ring tactic in Coq, which is even more general /// and efficient: /// - https://coq.inria.fr/refman/addendum/ring.html /// - http://www.cs.ru.nl/~freek/courses/tt-2014/read/10.1.1.61.3041.pdf open FStar.List open FStar.Reflection.V2 open FStar.Tactics.V2 open FStar.Algebra.CommMonoid let term_eq = FStar.Tactics.term_eq_old (** An attribute for marking definitions to unfold by the tactic *) irreducible let canon_attr = () /// /// Commutative semiring theory /// let distribute_left_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = let ( + ) = cm_add.mult in let ( * ) = cm_mult.mult in x:a -> y:a -> z:a -> Lemma (x * (y + z) == x * y + x * z) let distribute_right_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = let ( + ) = cm_add.mult in let ( * ) = cm_mult.mult in x:a -> y:a -> z:a -> Lemma ((x + y) * z == x * z + y * z) let mult_zero_l_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = x:a -> Lemma (cm_mult.mult cm_add.unit x == cm_add.unit) let add_opp_r_lemma (a:Type) (cm_add:cm a) (opp:(a -> a)) = let ( + ) = cm_add.mult in x:a -> Lemma (x + opp x == cm_add.unit) [@@canon_attr] unopteq type cr (a:Type) = | CR : cm_add: cm a -> cm_mult: cm a -> opp: (a -> a) -> add_opp: add_opp_r_lemma a cm_add opp -> distribute: distribute_left_lemma a cm_add cm_mult -> mult_zero_l: mult_zero_l_lemma a cm_add cm_mult -> cr a let distribute_right (#a:Type) (r:cr a) : distribute_right_lemma a r.cm_add r.cm_mult = fun x y z -> r.cm_mult.commutativity (r.cm_add.mult x y) z; r.distribute z x y; r.cm_mult.commutativity x z; r.cm_mult.commutativity y z /// /// Syntax of canonical ring expressions /// (** * Marking expressions we would like to normalize fully. * This does not do anything at the moment, but it would be nice * to have a cheap mechanism to make this work without traversing the * whole goal. **) [@@canon_attr] unfold let norm_fully (#a:Type) (x:a) = x let index: eqtype = nat (* * A list of variables represents a sorted product of one or more variables. * We do not need to prove sortedness to prove correctness, so we never * make it explicit. *) type varlist = | Nil_var : varlist | Cons_var : index -> varlist -> varlist (* * A canonical expression represents an ordered sum of monomials. * Each monomial is either: * - a varlist (a product of variables): x1 * ... * xk * - a product of a scalar and a varlist: c * x1 * ... * xk * * The order on monomials is the lexicographic order on varlist, with the * additional convention that monomials with a scalar are less than monomials * without a scalar. *) type canonical_sum a = | Nil_monom : canonical_sum a | Cons_monom : a -> varlist -> canonical_sum a -> canonical_sum a | Cons_varlist : varlist -> canonical_sum a -> canonical_sum a [@@canon_attr] let rec varlist_lt (x y:varlist) : bool = match x, y with | Nil_var, Cons_var _ _ -> true | Cons_var i xs, Cons_var j ys -> if i < j then true else i = j && varlist_lt xs ys | _, _ -> false [@@canon_attr] val varlist_merge: l1:varlist -> l2:varlist -> Tot varlist (decreases %[l1; l2; 0]) [@@canon_attr] val vm_aux: index -> t1:varlist -> l2:varlist -> Tot varlist (decreases %[t1; l2; 1]) (* Merges two lists of variables, preserving sortedness *) [@@canon_attr] let rec varlist_merge l1 l2 = match l1, l2 with | _, Nil_var -> l1 | Nil_var, _ -> l2 | Cons_var v1 t1, Cons_var v2 t2 -> vm_aux v1 t1 l2 and vm_aux v1 t1 l2 = match l2 with | Cons_var v2 t2 -> if v1 < v2 then Cons_var v1 (varlist_merge t1 l2) else Cons_var v2 (vm_aux v1 t1 t2) | _ -> Cons_var v1 t1 (* * Merges two canonical expressions * * We require that [a] is eqtype for better reasons later. * Here it is convenient to fix the universe of [a] in * mutually recursive functions. *) [@@canon_attr] val canonical_sum_merge : #a:eqtype -> cr a -> s1:canonical_sum a -> s2:canonical_sum a -> Tot (canonical_sum a) (decreases %[s1; s2; 0]) [@@canon_attr] val csm_aux: #a:eqtype -> r:cr a -> c1:a -> l1:varlist -> t1:canonical_sum a -> s2:canonical_sum a -> Tot (canonical_sum a) (decreases %[t1; s2; 1]) [@@canon_attr] let rec canonical_sum_merge #a r s1 s2 = let aplus = r.cm_add.mult in let aone = r.cm_mult.unit in match s1 with | Cons_monom c1 l1 t1 -> csm_aux r c1 l1 t1 s2 | Cons_varlist l1 t1 -> csm_aux r aone l1 t1 s2 | Nil_monom -> s2 and csm_aux #a r c1 l1 t1 s2 = let aplus = r.cm_add.mult in let aone = r.cm_mult.unit in match s2 with | Cons_monom c2 l2 t2 -> if l1 = l2 then Cons_monom (norm_fully (aplus c1 c2)) l1 (canonical_sum_merge r t1 t2) else if varlist_lt l1 l2 then Cons_monom c1 l1 (canonical_sum_merge r t1 s2) else Cons_monom c2 l2 (csm_aux #a r c1 l1 t1 t2) | Cons_varlist l2 t2 -> if l1 = l2 then Cons_monom (norm_fully (aplus c1 aone)) l1 (canonical_sum_merge r t1 t2) else if varlist_lt l1 l2 then Cons_monom c1 l1 (canonical_sum_merge r t1 s2) else Cons_varlist l2 (csm_aux r c1 l1 t1 t2) | Nil_monom -> //if c1 = aone then Cons_varlist l1 t1 else Cons_monom c1 l1 t1 (* Inserts a monomial into the appropriate position in a canonical sum *) val monom_insert: #a:eqtype -> r:cr a -> c1:a -> l1:varlist -> s2:canonical_sum a -> canonical_sum a [@@canon_attr] let rec monom_insert #a r c1 l1 s2 = let aplus = r.cm_add.mult in let aone = r.cm_mult.unit in match s2 with | Cons_monom c2 l2 t2 -> if l1 = l2 then Cons_monom (norm_fully (aplus c1 c2)) l1 t2 else if varlist_lt l1 l2 then Cons_monom c1 l1 s2 else Cons_monom c2 l2 (monom_insert r c1 l1 t2) | Cons_varlist l2 t2 -> if l1 = l2 then Cons_monom (norm_fully (aplus c1 aone)) l1 t2 else if varlist_lt l1 l2 then Cons_monom c1 l1 s2 else Cons_varlist l2 (monom_insert r c1 l1 t2) | Nil_monom -> if c1 = aone then Cons_varlist l1 Nil_monom else Cons_monom c1 l1 Nil_monom (* Inserts a monomial without scalar into a canonical sum *) val varlist_insert: #a:eqtype -> cr a -> varlist -> canonical_sum a -> canonical_sum a
false
false
FStar.Tactics.CanonCommSemiring.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val varlist_insert: #a:eqtype -> cr a -> varlist -> canonical_sum a -> canonical_sum a
[]
FStar.Tactics.CanonCommSemiring.varlist_insert
{ "file_name": "ulib/FStar.Tactics.CanonCommSemiring.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
r: FStar.Tactics.CanonCommSemiring.cr a -> l1: FStar.Tactics.CanonCommSemiring.varlist -> s2: FStar.Tactics.CanonCommSemiring.canonical_sum a -> FStar.Tactics.CanonCommSemiring.canonical_sum a
{ "end_col": 27, "end_line": 245, "start_col": 31, "start_line": 243 }
FStar.Tactics.Effect.Tac
[ { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Reflection.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let term_eq = FStar.Tactics.term_eq_old
let term_eq =
true
null
false
FStar.Tactics.term_eq_old
{ "checked_file": "FStar.Tactics.CanonCommSemiring.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.fst.checked", "FStar.Reflection.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Calc.fsti.checked", "FStar.Algebra.CommMonoid.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommSemiring.fst" }
[]
[ "FStar.Tactics.V1.Builtins.term_eq_old" ]
[]
(* Copyright 2008-2019 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 FStar.Tactics.CanonCommSemiring /// A tactic to solve equalities on a commutative semiring (a, +, *, 0, 1) /// /// The tactic [canon_semiring] is parameterized by the base type [a] and /// a semiring theory [cr a]. This requires: /// /// - A commutative monoid (a, +, 0) for addition /// That is, + is associative, commutative and has identity element 0 /// - An additive inverse operator for (a, +, 0), making it an Abelian group /// That is, a + -a = 0 /// - A commutative monoid (a, *, 1) for multiplication /// That is, * is associative, commutative and has identity element 1 /// - Multiplication left-distributes over addition /// That is, a * (b + c) == a * b + a * c /// - 0 is an absorbing element of multiplication /// That is, 0 * a = 0 /// /// In contrast to the previous version of FStar.Tactics.CanonCommSemiring, /// the tactic defined here canonizes products, additions and additive inverses, /// collects coefficients in monomials, and eliminates trivial expressions. /// /// This is based on the legacy (second) version of Coq's ring tactic: /// - https://github.com/coq-contribs/legacy-ring/ /// /// See also the newest ring tactic in Coq, which is even more general /// and efficient: /// - https://coq.inria.fr/refman/addendum/ring.html /// - http://www.cs.ru.nl/~freek/courses/tt-2014/read/10.1.1.61.3041.pdf open FStar.List open FStar.Reflection.V2 open FStar.Tactics.V2 open FStar.Algebra.CommMonoid
false
false
FStar.Tactics.CanonCommSemiring.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val term_eq : _: FStar.Reflection.Types.term -> _: FStar.Reflection.Types.term -> FStar.Tactics.Effect.Tac Prims.bool
[]
FStar.Tactics.CanonCommSemiring.term_eq
{ "file_name": "ulib/FStar.Tactics.CanonCommSemiring.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
_: FStar.Reflection.Types.term -> _: FStar.Reflection.Types.term -> FStar.Tactics.Effect.Tac Prims.bool
{ "end_col": 39, "end_line": 51, "start_col": 14, "start_line": 51 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Reflection.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let norm_fully (#a:Type) (x:a) = x
let norm_fully (#a: Type) (x: a) =
false
null
false
x
{ "checked_file": "FStar.Tactics.CanonCommSemiring.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.fst.checked", "FStar.Reflection.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Calc.fsti.checked", "FStar.Algebra.CommMonoid.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommSemiring.fst" }
[ "total" ]
[]
[]
(* Copyright 2008-2019 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 FStar.Tactics.CanonCommSemiring /// A tactic to solve equalities on a commutative semiring (a, +, *, 0, 1) /// /// The tactic [canon_semiring] is parameterized by the base type [a] and /// a semiring theory [cr a]. This requires: /// /// - A commutative monoid (a, +, 0) for addition /// That is, + is associative, commutative and has identity element 0 /// - An additive inverse operator for (a, +, 0), making it an Abelian group /// That is, a + -a = 0 /// - A commutative monoid (a, *, 1) for multiplication /// That is, * is associative, commutative and has identity element 1 /// - Multiplication left-distributes over addition /// That is, a * (b + c) == a * b + a * c /// - 0 is an absorbing element of multiplication /// That is, 0 * a = 0 /// /// In contrast to the previous version of FStar.Tactics.CanonCommSemiring, /// the tactic defined here canonizes products, additions and additive inverses, /// collects coefficients in monomials, and eliminates trivial expressions. /// /// This is based on the legacy (second) version of Coq's ring tactic: /// - https://github.com/coq-contribs/legacy-ring/ /// /// See also the newest ring tactic in Coq, which is even more general /// and efficient: /// - https://coq.inria.fr/refman/addendum/ring.html /// - http://www.cs.ru.nl/~freek/courses/tt-2014/read/10.1.1.61.3041.pdf open FStar.List open FStar.Reflection.V2 open FStar.Tactics.V2 open FStar.Algebra.CommMonoid let term_eq = FStar.Tactics.term_eq_old (** An attribute for marking definitions to unfold by the tactic *) irreducible let canon_attr = () /// /// Commutative semiring theory /// let distribute_left_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = let ( + ) = cm_add.mult in let ( * ) = cm_mult.mult in x:a -> y:a -> z:a -> Lemma (x * (y + z) == x * y + x * z) let distribute_right_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = let ( + ) = cm_add.mult in let ( * ) = cm_mult.mult in x:a -> y:a -> z:a -> Lemma ((x + y) * z == x * z + y * z) let mult_zero_l_lemma (a:Type) (cm_add:cm a) (cm_mult:cm a) = x:a -> Lemma (cm_mult.mult cm_add.unit x == cm_add.unit) let add_opp_r_lemma (a:Type) (cm_add:cm a) (opp:(a -> a)) = let ( + ) = cm_add.mult in x:a -> Lemma (x + opp x == cm_add.unit) [@@canon_attr] unopteq type cr (a:Type) = | CR : cm_add: cm a -> cm_mult: cm a -> opp: (a -> a) -> add_opp: add_opp_r_lemma a cm_add opp -> distribute: distribute_left_lemma a cm_add cm_mult -> mult_zero_l: mult_zero_l_lemma a cm_add cm_mult -> cr a let distribute_right (#a:Type) (r:cr a) : distribute_right_lemma a r.cm_add r.cm_mult = fun x y z -> r.cm_mult.commutativity (r.cm_add.mult x y) z; r.distribute z x y; r.cm_mult.commutativity x z; r.cm_mult.commutativity y z /// /// Syntax of canonical ring expressions /// (** * Marking expressions we would like to normalize fully. * This does not do anything at the moment, but it would be nice * to have a cheap mechanism to make this work without traversing the * whole goal. **)
false
false
FStar.Tactics.CanonCommSemiring.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val norm_fully : x: a -> a
[]
FStar.Tactics.CanonCommSemiring.norm_fully
{ "file_name": "ulib/FStar.Tactics.CanonCommSemiring.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: a -> a
{ "end_col": 41, "end_line": 107, "start_col": 40, "start_line": 107 }