val va_codegen_success_Ctr32_ghash_6_prelude : alg:algorithm -> Tot va_pbool
let va_codegen_success_Ctr32_ghash_6_prelude alg =
  (va_pbool_and (va_codegen_success_Load_one_msb ()) (va_pbool_and (va_codegen_success_VPxor
    (va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_opr128_xmm 4)) (va_pbool_and
    (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15)
    (va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret) (va_pbool_and (va_codegen_success_VPaddd
    (va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (va_pbool_and
    (va_codegen_success_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2))
    (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm
    2)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12)
    (va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm
    13) (va_op_xmm_xmm 2)) (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm
    1) (va_op_opr128_xmm 15)) (va_pbool_and (va_codegen_success_Store128_buffer
    (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 4) 16 Secret)
    (va_ttrue ())))))))))))
val va_codegen_success_Ctr32_ghash_6_prelude : alg:algorithm -> Tot va_pbool
let va_codegen_success_Ctr32_ghash_6_prelude alg =
(va_pbool_and (va_codegen_success_Load_one_msb ())
    (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 4) (va_op_xmm_xmm 4) (va_op_opr128_xmm 4)
        )
        (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 0)
                (va_op_xmm_xmm 15)
                (va_op_reg_opr64_reg64 rRcx)
                (0 - 128)
                Secret)
            (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 10)
                    (va_op_xmm_xmm 1)
                    (va_op_xmm_xmm 2))
                (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 11)
                        (va_op_xmm_xmm 10)
                        (va_op_xmm_xmm 2))
                    (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 12)
                            (va_op_xmm_xmm 11)
                            (va_op_xmm_xmm 2))
                        (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 13)
                                (va_op_xmm_xmm 12)
                                (va_op_xmm_xmm 2))
                            (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 14)
                                    (va_op_xmm_xmm 13)
                                    (va_op_xmm_xmm 2))
                                (va_pbool_and (va_codegen_success_VPxor (va_op_xmm_xmm 9)
                                        (va_op_xmm_xmm 1)
                                        (va_op_opr128_xmm 15))
                                    (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet
                                                3)
                                            (va_op_reg_opr64_reg64 rRbp)
                                            (va_op_xmm_xmm 4)
                                            16
                                            Secret)
                                        (va_ttrue ())))))))))))
Vale.AES.X64.AESGCM.fst.checked
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.InsVector.fsti.checked Vale.X64.InsMem.fsti.checked Vale.X64.InsBasic.fsti.checked Vale.X64.InsAes.fsti.checked Vale.X64.Flags.fsti.checked Vale.X64.Decls.fsti.checked Vale.X64.CPU_Features_s.fst.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.AES.X64.PolyOps.fsti.checked Vale.AES.X64.AESopt2.fsti.checked Vale.AES.X64.AESopt.fsti.checked Vale.AES.GHash.fsti.checked Vale.AES.GF128_s.fsti.checked Vale.AES.GF128.fsti.checked Vale.AES.GCTR_s.fst.checked Vale.AES.GCTR.fsti.checked Vale.AES.GCM_helpers.fsti.checked Vale.AES.AES_s.fst.checked Vale.AES.AES_helpers.fsti.checked Vale.AES.AES_common_s.fst.checked prims.fst.checked FStar.Seq.Base.fsti.checked FStar.Seq.fst.checked FStar.Pervasives.Native.fst.checked FStar.Pervasives.fsti.checked FStar.Mul.fst.checked
Vale.AES.X64.AESGCM.fst
Vale.AES.AES_common_s.algorithm Vale.X64.Decls.va_pbool_and Vale.AES.X64.AESGCM.va_codegen_success_Load_one_msb Vale.X64.InsVector.va_codegen_success_VPxor Vale.X64.Decls.va_op_xmm_xmm Vale.X64.Decls.va_op_opr128_xmm Vale.X64.InsVector.va_codegen_success_Load128_buffer Vale.X64.Decls.va_op_heaplet_mem_heaplet Vale.X64.Decls.va_op_reg_opr64_reg64 Vale.X64.Machine_s.rRcx Prims.op_Subtraction Vale.Arch.HeapTypes_s.Secret Vale.X64.InsVector.va_codegen_success_VPaddd Vale.X64.InsVector.va_codegen_success_Store128_buffer Vale.X64.Machine_s.rRbp Vale.X64.Decls.va_ttrue Vale.X64.Decls.va_pbool
module Vale.AES.X64.AESGCM
open FStar.Mul
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.AES.AES_s
open Vale.X64.Machine_s
open Vale.X64.Memory
open Vale.X64.State
open Vale.X64.Decls
open Vale.X64.InsBasic
open Vale.X64.InsMem
open Vale.X64.InsVector
open Vale.X64.InsAes
open Vale.X64.QuickCode
open Vale.X64.QuickCodes
open Vale.Arch.Types
open Vale.AES.AES_helpers
//open Vale.Poly1305.Math    // For lemma_poly_bits64()
open Vale.AES.GCM_helpers
open Vale.AES.GCTR_s
open Vale.AES.GCTR
open Vale.Arch.TypesNative
open Vale.X64.CPU_Features_s
open Vale.AES.X64.PolyOps
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
open Vale.AES.X64.AESopt
open Vale.AES.X64.AESopt2
unfold let lo(x:poly):poly = mask x 64
unfold let hi(x:poly):poly = shift x (-64)

//let scratch_reqs (scratch_b:buffer128) (count:nat) (heap3:vale_heap) (s:seq quad32) (z3:quad32) : prop0 =
//  count * 6 + 6 <= length s /\
//  (let data = slice s (count * 6) (count * 6 + 6) in
//   z3 == reverse_bytes_quad32 (index data 5) /\
//   buffer128_read scratch_b 3 heap3 == reverse_bytes_quad32 (index data 4) /\
//   buffer128_read scratch_b 4 heap3 == reverse_bytes_quad32 (index data 3) /\
//   buffer128_read scratch_b 5 heap3 == reverse_bytes_quad32 (index data 2) /\
//   buffer128_read scratch_b 6 heap3 == reverse_bytes_quad32 (index data 1) /\
//   buffer128_read scratch_b 7 heap3 == reverse_bytes_quad32 (index data 0))


let scratch_reqs_simple (scratch_b:buffer128) (heap3:vale_heap) (data:seq quad32) (z3:quad32) : prop0 =
   length data == 6 /\
   z3 == reverse_bytes_quad32 (index data 5) /\
   buffer128_read scratch_b 3 heap3 == reverse_bytes_quad32 (index data 4) /\
   buffer128_read scratch_b 4 heap3 == reverse_bytes_quad32 (index data 3) /\
   buffer128_read scratch_b 5 heap3 == reverse_bytes_quad32 (index data 2) /\
   buffer128_read scratch_b 6 heap3 == reverse_bytes_quad32 (index data 1) /\
   buffer128_read scratch_b 7 heap3 == reverse_bytes_quad32 (index data 0)
//-- finish_aes_encrypt_le


val finish_aes_encrypt_le : alg:algorithm -> input_LE:quad32 -> key:(seq nat32)
  -> Lemma
  (requires (Vale.AES.AES_s.is_aes_key_LE alg key))
  (ensures (Vale.AES.AES_s.aes_encrypt_LE alg key input_LE == Vale.AES.AES_s.eval_cipher alg
    input_LE (Vale.AES.AES_s.key_to_round_keys_LE alg key)))
let finish_aes_encrypt_le alg input_LE key =
  Vale.AES.AES_s.aes_encrypt_LE_reveal ();
  Vale.AES.AES_s.eval_cipher_reveal ();
  ()
//--
let va_subscript_FStar__Seq__Base__seq = Seq.index
#reset-options "--z3rlimit 30"
//-- Load_one_msb

val va_code_Load_one_msb : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Load_one_msb () =
  (va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 2)) (va_CCons (va_code_PinsrqImm
    (va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64 rR11)) (va_CNil ()))))

val va_codegen_success_Load_one_msb : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Load_one_msb () =
  (va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 2)) (va_pbool_and
    (va_codegen_success_PinsrqImm (va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64
    rR11)) (va_ttrue ())))

[@ "opaque_to_smt" va_qattr]
let va_qcode_Load_one_msb (va_mods:va_mods_t) : (va_quickCode unit (va_code_Load_one_msb ())) =
  (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1
    "***** PRECONDITION NOT MET AT line 145 column 12 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
    (va_quick_ZeroXmm (va_op_xmm_xmm 2)) (fun (va_s:va_state) _ -> va_qAssert va_range1
    "***** PRECONDITION NOT MET AT line 146 column 5 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
    (Vale.Arch.Types.two_to_nat32 (Vale.Def.Words_s.Mktwo #Vale.Def.Words_s.nat32 0 16777216) ==
    72057594037927936) (va_QBind va_range1
    "***** PRECONDITION NOT MET AT line 147 column 14 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
    (va_quick_PinsrqImm (va_op_xmm_xmm 2) 72057594037927936 1 (va_op_reg_opr64_reg64 rR11)) (fun
    (va_s:va_state) _ -> va_qPURE va_range1
    "***** PRECONDITION NOT MET AT line 148 column 24 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
    (fun (_:unit) -> Vale.Def.Types_s.insert_nat64_reveal ()) (va_QEmpty (())))))))


val va_lemma_Load_one_msb : va_b0:va_code -> va_s0:va_state
  -> Ghost (va_state & va_fuel)
  (requires (va_require_total va_b0 (va_code_Load_one_msb ()) va_s0 /\ va_get_ok va_s0 /\
    sse_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_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 /\
    va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 2 va_sM (va_update_reg64 rR11 va_sM
    (va_update_ok va_sM va_s0))))))
[@"opaque_to_smt"]
let va_lemma_Load_one_msb va_b0 va_s0 =
  let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11; va_Mod_ok] in
  let va_qc = va_qcode_Load_one_msb va_mods in
  let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Load_one_msb ()) va_qc va_s0 (fun va_s0
    va_sM va_g -> let () = va_g in label va_range1
    "***** POSTCONDITION NOT MET AT line 138 column 1 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
    (va_get_ok va_sM) /\ label va_range1
    "***** POSTCONDITION NOT MET AT line 143 column 46 of file /home/gebner/everest/hacl-star/vale/code/thirdPartyPorts/OpenSSL/aes/Vale.AES.X64.AESGCM.vaf *****"
    (va_get_xmm 2 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216)) in
  assert_norm (va_qc.mods == va_mods);
  va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11; va_Mod_ok]) va_sM va_s0;
  (va_sM, va_fM)

[@ va_qattr]
let va_wp_Load_one_msb (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
  (va_get_ok va_s0 /\ sse_enabled /\ (forall (va_x_r11:nat64) (va_x_xmm2:quad32)
    (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_xmm 2 va_x_xmm2
    (va_upd_reg64 rR11 va_x_r11 va_s0)) in va_get_ok va_sM /\ va_get_xmm 2 va_sM ==
    Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 16777216 ==> va_k va_sM (())))


val va_wpProof_Load_one_msb : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
  -> Ghost (va_state & va_fuel & unit)
  (requires (va_t_require va_s0 /\ va_wp_Load_one_msb va_s0 va_k))
  (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Load_one_msb ()) ([va_Mod_flags;
    va_Mod_xmm 2; va_Mod_reg64 rR11]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Load_one_msb va_s0 va_k =
  let (va_sM, va_f0) = va_lemma_Load_one_msb (va_code_Load_one_msb ()) va_s0 in
  va_lemma_upd_update va_sM;
  assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 2 va_sM (va_update_reg64 rR11
    va_sM (va_update_ok va_sM va_s0)))));
  va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11]) va_sM va_s0;
  let va_g = () in
  (va_sM, va_f0, va_g)

[@ "opaque_to_smt" va_qattr]
let va_quick_Load_one_msb () : (va_quickCode unit (va_code_Load_one_msb ())) =
  (va_QProc (va_code_Load_one_msb ()) ([va_Mod_flags; va_Mod_xmm 2; va_Mod_reg64 rR11])
    va_wp_Load_one_msb va_wpProof_Load_one_msb)
//--
//-- Ctr32_ghash_6_prelude

val va_code_Ctr32_ghash_6_prelude : alg:algorithm -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ctr32_ghash_6_prelude alg =
  (va_Block (va_CCons (va_code_Load_one_msb ()) (va_CCons (va_code_VPxor (va_op_xmm_xmm 4)
    (va_op_xmm_xmm 4) (va_op_opr128_xmm 4)) (va_CCons (va_code_Load128_buffer
    (va_op_heaplet_mem_heaplet 0) (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRcx) (0 - 128) Secret)
    (va_CCons (va_code_VPaddd (va_op_xmm_xmm 10) (va_op_xmm_xmm 1) (va_op_xmm_xmm 2)) (va_CCons
    (va_code_VPaddd (va_op_xmm_xmm 11) (va_op_xmm_xmm 10) (va_op_xmm_xmm 2)) (va_CCons
    (va_code_VPaddd (va_op_xmm_xmm 12) (va_op_xmm_xmm 11) (va_op_xmm_xmm 2)) (va_CCons
    (va_code_VPaddd (va_op_xmm_xmm 13) (va_op_xmm_xmm 12) (va_op_xmm_xmm 2)) (va_CCons
    (va_code_VPaddd (va_op_xmm_xmm 14) (va_op_xmm_xmm 13) (va_op_xmm_xmm 2)) (va_CCons
    (va_code_VPxor (va_op_xmm_xmm 9) (va_op_xmm_xmm 1) (va_op_opr128_xmm 15)) (va_CCons
    (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp)
    (va_op_xmm_xmm 4) 16 Secret) (va_CNil ()))))))))))))

val va_codegen_success_Ctr32_ghash_6_prelude : alg:algorithm -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
val va_codegen_success_Ctr32_ghash_6_prelude : alg:algorithm -> Tot va_pbool
alg: Vale.AES.AES_common_s.algorithm -> Vale.X64.Decls.va_pbool