table_create3.v

Require Import CodeProofDeps.
Require Import Ident.
Require Import Constants.
Require Import RData.
Require Import EventReplay.
Require Import MoverTypes.
Require Import CommonLib.
Require Import TableDataOpsIntro.Spec.
Require Import TableDataOpsRef2.Spec.
Require Import TableDataOpsRef2.Layer.
Require Import TableDataOpsRef3.Code.table_create3.

Require Import TableDataOpsRef3.LowSpecs.table_create3.

Local Open Scope Z_scope.

Section CodeProof.

  Context `{real_params: RealParams}.
  Context {memb} `{Hmemx: Mem.MemoryModelX memb}.
  Context `{Hmwd: UseMemWithData memb}.

  Let mem := mwd (cdata RData).

  Context `{Hstencil: Stencil}.
  Context `{make_program_ops: !MakeProgramOps Clight.function type Clight.fundef type}.
  Context `{Hmake_program: !MakeProgram Clight.function type Clight.fundef type}.

  Let L : compatlayer (cdata RData) :=
    _table_create ↦ gensem table_create_spec
      ⊕ _table_create2 ↦ gensem table_create2_spec
  .

  Local Instance: ExternalCallsOps mem := CompatExternalCalls.compatlayer_extcall_ops L.
  Local Instance: CompilerConfigOps mem := CompatExternalCalls.compatlayer_compiler_config_ops L.

  Section BodyProof.

    Context `{Hwb: WritableBlockOps}.
    Variable (sc: stencil).
    Variables (ge: genv) (STENCIL_MATCHES: stencil_matches sc ge).

    Variable b_table_create: block.
    Hypothesis h_table_create_s : Genv.find_symbol ge _table_create = Some b_table_create.
    Hypothesis h_table_create_p : Genv.find_funct_ptr ge b_table_create
                                  = Some (External (EF_external _table_create
                                                   (signature_of_type (Tcons Tptr (Tcons tulong (Tcons tulong (Tcons Tptr (Tcons tulong Tnil))))) tulong cc_default))
                                         (Tcons Tptr (Tcons tulong (Tcons tulong (Tcons Tptr (Tcons tulong Tnil))))) tulong cc_default).
    Local Opaque table_create_spec.

    Variable b_table_create2: block.
    Hypothesis h_table_create2_s : Genv.find_symbol ge _table_create2 = Some b_table_create2.
    Hypothesis h_table_create2_p : Genv.find_funct_ptr ge b_table_create2
                                   = Some (External (EF_external _table_create2
                                                    (signature_of_type (Tcons Tptr (Tcons tulong (Tcons tulong (Tcons Tptr (Tcons tulong Tnil))))) tulong cc_default))
                                          (Tcons Tptr (Tcons tulong (Tcons tulong (Tcons Tptr (Tcons tulong Tnil))))) tulong cc_default).
    Local Opaque table_create2_spec.

    Lemma table_create3_body_correct:
      forall m d d' env le g_rd_base g_rd_offset map_addr level g_rtt_base g_rtt_offset rtt_addr res
             (Henv: env = PTree.empty _)
             (Hinv: high_level_invariant d)
             (HPTg_rd: PTree.get _g_rd le = Some (Vptr g_rd_base (Int.repr g_rd_offset)))
             (HPTmap_addr: PTree.get _map_addr le = Some (Vlong map_addr))
             (HPTlevel: PTree.get _level le = Some (Vlong level))
             (HPTg_rtt: PTree.get _g_rtt le = Some (Vptr g_rtt_base (Int.repr g_rtt_offset)))
             (HPTrtt_addr: PTree.get _rtt_addr le = Some (Vlong rtt_addr))
             (Hspec: table_create3_spec0 (g_rd_base, g_rd_offset) (VZ64 (Int64.unsigned map_addr)) (VZ64 (Int64.unsigned level)) (g_rtt_base, g_rtt_offset) (VZ64 (Int64.unsigned rtt_addr)) d = Some (d', VZ64 (Int64.unsigned res))),
           exists le', (exec_stmt ge env le ((m, d): mem) table_create3_body E0 le' (m, d') (Out_return (Some (Vlong res, tulong)))).
    Proof.
      solve_code_proof Hspec table_create3_body; eexists; solve_proof_low.
    Qed.

  End BodyProof.

End CodeProof.