table_map2.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 TableDataOpsRef1.Spec.
Require Import TableDataOpsRef1.Layer.
Require Import TableDataOpsRef2.Code.table_map2.

Require Import TableDataOpsRef2.LowSpecs.table_map2.

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_map ↦ gensem table_map_spec
      ⊕ _table_map1 ↦ gensem table_map1_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_map: block.
    Hypothesis h_table_map_s : Genv.find_symbol ge _table_map = Some b_table_map.
    Hypothesis h_table_map_p : Genv.find_funct_ptr ge b_table_map
                               = Some (External (EF_external _table_map
                                                (signature_of_type (Tcons Tptr (Tcons tulong (Tcons tulong Tnil))) tulong cc_default))
                                      (Tcons Tptr (Tcons tulong (Tcons tulong Tnil))) tulong cc_default).
    Local Opaque table_map_spec.

    Variable b_table_map1: block.
    Hypothesis h_table_map1_s : Genv.find_symbol ge _table_map1 = Some b_table_map1.
    Hypothesis h_table_map1_p : Genv.find_funct_ptr ge b_table_map1
                                = Some (External (EF_external _table_map1
                                                 (signature_of_type (Tcons Tptr (Tcons tulong (Tcons tulong Tnil))) tulong cc_default))
                                       (Tcons Tptr (Tcons tulong (Tcons tulong Tnil))) tulong cc_default).
    Local Opaque table_map1_spec.

    Lemma table_map2_body_correct:
      forall m d d' env le g_rd_base g_rd_offset map_addr level 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))
             (Hspec: table_map2_spec0 (g_rd_base, g_rd_offset) (VZ64 (Int64.unsigned map_addr)) (VZ64 (Int64.unsigned level)) d = Some (d', VZ64 (Int64.unsigned res))),
           exists le', (exec_stmt ge env le ((m, d): mem) table_map2_body E0 le' (m, d') (Out_return (Some (Vlong res, tulong)))).
    Proof.
      solve_code_proof Hspec table_map2_body; eexists; solve_proof_low.
    Qed.

  End BodyProof.

End CodeProof.