Require Import Coqlib.
Require Import Errors.
Require Import AST.
Require Import Integers.
Require Import Floats.
Require Import Op.
Require Import Asm.
Require Import Events.
Require Import Globalenvs.
Require Import Smallstep.
Require Import Values.
Require Import Memory.
Require Import Maps.
Require Import CommonTactic.
Require Import AuxLemma.
Require Import FlatMemory.
Require Import AuxStateDataType.
Require Import Constant.
Require Import GlobIdent.
Require Import RealParams.
Require Import LoadStoreSem2.
Require Import AsmImplLemma.
Require Import LAsm.
Require Import RefinementTactic.
Require Import PrimSemantics.
Require Import XOmega.

Require Import liblayers.logic.PTreeModules.
Require Import liblayers.logic.LayerLogicImpl.
Require Import liblayers.compcertx.Stencil.
Require Import liblayers.compcertx.MakeProgram.
Require Import liblayers.compat.CompatLayers.
Require Import liblayers.compat.CompatGenSem.
Require Import compcert.cfrontend.Ctypes.
Require Import LayerCalculusLemma.

Require Import MShare.

Require Import ShareOpGen.
Require Import ShareGenSpec.

Require Import AbstractDataType.

Section Refinement.

  Local Open Scope string_scope.
  Local Open Scope error_monad_scope.
  Local Open Scope Z_scope.

  Context `{real_params: RealParams}.
  Context `{multi_oracle_prop: MultiOracleProp}.

  Notation HDATA := RData.
  Notation LDATA := RData.

  Notation HDATAOps := (cdata HDATA).
  Notation LDATAOps := (cdata LDATA).

  Section WITHMEM.

    Context `{Hstencil: Stencil}.
    Context `{Hmem: Mem.MemoryModelX}.
    Context `{Hmwd: UseMemWithData mem}.

    Section OneStep_Forward_Relation.

      Section FRESH_PRIM.

        Lemma shared_mem_status_kernel_mode:
          ∀ d2 d2´ v1 v2,
            shared_mem_status_spec v1 v2 d2 = Some d2´
            → kernel_mode d2.
        Proof.
          intros. functional inversion H; subst;
          simpl; auto.
        Qed.

        Lemma shared_mem_status_spec_ref:
          compatsim (crel HDATA LDATA) (gensem shared_mem_status_spec) shared_mem_status_spec_low.
        Proof.
          compatsim_simpl (@match_AbData).
          exploit shared_mem_status_exists; eauto 1.
          intros (labd´ & HP & HM).
          refine_split; try econstructor; eauto.
          - eapply shared_mem_status_kernel_mode; eauto.
          - constructor.
        Qed.

        Lemma offer_shared_mem_kernel_mode:
          ∀ d2 d2´ v1 v2 v3,
            offer_shared_mem_spec v1 v2 v3 d2 = Some d2´
            → kernel_mode d2.
        Proof.
          intros. functional inversion H; subst;
          simpl; auto.
        Qed.

        Lemma offer_shared_mem_spec_ref:
          compatsim (crel HDATA LDATA) (gensem offer_shared_mem_spec) offer_shared_mem_spec_low.
        Proof.
          compatsim_simpl (@match_AbData).
          exploit offer_shared_mem_exists; eauto 1.
          intros (labd´ & HP & HM).
          refine_split; try econstructor; eauto.
          - eapply offer_shared_mem_kernel_mode; eauto.
          - constructor.
        Qed.

      End FRESH_PRIM.

      Lemma passthrough_correct:
        sim (crel HDATA LDATA) mshare_passthrough mshareop.
      Proof.
        sim_oplus.
        - apply fload_sim.
        - apply fstore_sim.
        - apply page_copy_sim.
        - apply page_copy_back_sim.
        - apply vmxinfo_get_sim.
        - apply palloc_sim.
        - apply setPT_sim.
        - apply ptRead_sim.
        - apply ptResv_sim.
        - apply pt_new_sim.
        - apply sharedmem_init_sim.
        - apply ptin_sim.
        - apply ptout_sim.
        - apply container_get_nchildren_sim.
        - apply container_get_quota_sim.
        - apply container_get_usage_sim.
        - apply container_can_consume_sim.
        - apply get_CPU_ID_sim.
        - apply get_curid_sim.
        - apply set_curid_sim.
        - apply set_curid_init_sim.
        - apply (release_lock_sim (valid_arg_imply:= Shared2ID1_imply)).
        -
          eapply acquire_lock_sim1; eauto.
          intros. inv H; trivial.
        - apply cli_sim.
        - apply sti_sim.
        - apply serial_intr_disable_sim.
        - apply serial_intr_enable_sim.
        - apply serial_putc_sim.
        - apply cons_buf_read_sim.
        - apply trapin_sim.
        - apply trapout_sim.
        - apply hostin_sim.
        - apply hostout_sim.
        - apply proc_create_postinit_sim.
        - apply trap_info_get_sim.
        - apply trap_info_ret_sim.
        - layer_sim_simpl.
          + eapply load_correct2.
          + eapply store_correct2.
      Qed.

    End OneStep_Forward_Relation.

  End WITHMEM.

End Refinement.