Require Import Coqlib.
Require Import Maps.
Require Import ASTExtra.
Require Import Integers.
Require Import Floats.
Require Import Values.
Require Import Memory.
Require Import Events.
Require Import Stacklayout.
Require Import Globalenvs.
Require Import AsmX.
Require Import Smallstep.
Require Import AuxStateDataType.
Require Import Constant.
Require Import GlobIdent.
Require Import FlatMemory.
Require Import CommonTactic.
Require Import AuxLemma.
Require Import RealParams.
Require Import PrimSemantics.
Require Import LAsm.
Require Import LoadStoreSem2.
Require Import XOmega.

Require Import CalRealPTPool.

Require Import liblayers.logic.PTreeModules.
Require Import liblayers.logic.LayerLogicImpl.
Require Import liblayers.compat.CompatLayers.
Require Import liblayers.compat.CompatGenSem.

Require Import INVLemmaContainer.
Require Import INVLemmaMemory.
Require Import CalRealIDPDE.
Require Import CalRealPT.
Require Import CalRealInitPTE.

Require Import AbstractDataType.

Require Export MPTOp.

Require Import INVLemmaQLock.
Require Import INVLemmaInterrupt.
Require Import INVLemmaDriver.
Require Import DeviceStateDataType.
Require Import FutureTactic.

Section WITHMEM.

  Local Open Scope Z_scope.

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

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

  Section INV.

    Section PTPALLOCPDE.

      Lemma ptAllocPDE_high_level_inv:
        ∀ d d´ n vadr v,
          ptAllocPDE_spec n vadr d = Some (d´, v) →
          high_level_invariant d →
          high_level_invariant d´.
      Proof.
        intros. functional inversion H; subst; eauto.
        - eapply lpalloc_high_level_inv; eauto.
        - exploit lpalloc_high_level_inv; eauto.
          intros.
          exploit lpalloc_inv_prop; eauto. intros (Hinit & HPT & Halloc).
          clear H9.
          rewrite <- HPT in _x.
          inv H1; constructor_gso_simpl_tac; try (intros; congruence).
          + eapply consistent_ppage_log_alloc_hide; eauto.
          + eapply dirty_ppage_gss; eauto.
      Qed.

      Lemma ptAllocPDE_low_level_inv:
        ∀ d d´ n vadr v n´,
          ptAllocPDE_spec n vadr d = Some (d´, v) →
          low_level_invariant n´ d →
          low_level_invariant n´ d´.
      Proof.
        intros. functional inversion H; subst; eauto.
        - eapply lpalloc_low_level_inv; eauto.
        - exploit lpalloc_low_level_inv; eauto.
          intros. inv H1. constructor; eauto.
      Qed.

      Lemma ptAllocPDE_kernel_mode:
        ∀ d d´ n vadr v,
          ptAllocPDE_spec n vadr d = Some (d´, v) →
          kernel_mode d →
          kernel_mode d´.
      Proof.
        intros. functional inversion H; subst; eauto.
        - eapply lpalloc_kernel_mode; eauto.
        - exploit lpalloc_kernel_mode; eauto.
      Qed.

      Global Instance ptAllocPDE_inv: PreservesInvariants ptAllocPDE_spec.
      Proof.
        preserves_invariants_simpl´.
        - eapply ptAllocPDE_low_level_inv; eassumption.
        - eapply ptAllocPDE_high_level_inv; eassumption.
        - eapply ptAllocPDE_kernel_mode; eassumption.
      Qed.

    End PTPALLOCPDE.


    Global Instance pt_init_comm_inv: PreservesInvariants pt_init_comm_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant.
      - apply real_nps_range.
      - apply AC_init_container_valid.
      - rewrite init_pperm; [|try assumption].
        apply real_pperm_log_valid.
      - assumption.
      - assumption.
      - eapply real_valid_hlock_pool1; eauto.
      - assumption.
      - eapply real_valid_AT_log_pool_H; eauto.
    Qed.

  End INV.

  Definition mptcommon_fresh : compatlayer (cdata RData) :=
    pt_alloc_pde ↦ gensem ptAllocPDE_spec
                 
                 ⊕ pt_init_comm ↦ gensem pt_init_comm_spec.

  Definition mptcommon_passthrough : compatlayer (cdata RData) :=
    fload ↦ gensem fload_spec
          ⊕ fstore ↦ gensem fstore_spec
          
          ⊕ page_copy ↦ gensem page_copy_spec
          ⊕ page_copy_back ↦ gensem page_copy_back_spec

          ⊕ vmxinfo_get ↦ gensem vmxinfo_get_spec
          ⊕ set_pg ↦ gensem setPG1_spec
          ⊕ at_get_c ↦ gensem get_at_c_spec
          ⊕ at_set_c ↦ gensem set_at_c0_spec
          ⊕ palloc ↦ gensem lpalloc_spec
          
          ⊕ set_pt ↦ gensem setPT´_spec
          ⊕ set_PDE ↦ gensem setPDE_spec

          ⊕ pt_read ↦ gensem ptRead_spec
          ⊕ pt_read_pde ↦ gensem ptReadPDE_spec
          ⊕ pt_insert_aux ↦ gensem ptInsertAux_spec
          ⊕ pt_rmv_aux ↦ gensem ptRmvAux_spec

          ⊕ pt_in ↦ primcall_general_compatsem´ ptin´_spec (prim_ident:= pt_in)
          ⊕ pt_out ↦ primcall_general_compatsem´ ptout_spec (prim_ident:= pt_out)
          ⊕ container_get_parent ↦ gensem container_get_parent_spec
          ⊕ container_get_nchildren ↦ gensem container_get_nchildren_spec
          ⊕ container_get_quota ↦ gensem container_get_quota_spec
          ⊕ container_get_usage ↦ gensem container_get_usage_spec
          ⊕ container_can_consume ↦ gensem container_can_consume_spec
          ⊕ container_split ↦ gensem container_split_spec

          ⊕ get_CPU_ID ↦ gensem get_CPU_ID_spec
          ⊕ get_curid ↦ gensem get_curid_spec
          ⊕ set_curid ↦ gensem set_curid_spec
          ⊕ set_curid_init ↦ gensem set_curid_init_spec
          
          ⊕ release_lock ↦ primcall_release_lock_compatsem release_lock release_lock_spec1
          ⊕ acquire_lock ↦ primcall_acquire_lock_compatsem acquire_lock_spec1
          

          ⊕ cli ↦ gensem cli_spec
          ⊕ sti ↦ gensem sti_spec
          ⊕ serial_intr_disable ↦ gensem serial_intr_disable_spec
          ⊕ serial_intr_enable ↦ gensem serial_intr_enable_spec
          ⊕ serial_putc ↦ gensem serial_putc_spec
          ⊕ cons_buf_read ↦ gensem cons_buf_read_spec

          ⊕ trap_in ↦ primcall_general_compatsem trapin_spec
          ⊕ trap_out ↦ primcall_general_compatsem trapout_spec
          ⊕ host_in ↦ primcall_general_compatsem hostin_spec
          ⊕ host_out ↦ primcall_general_compatsem hostout_spec
          ⊕ proc_create_postinit ↦ gensem proc_create_postinit_spec
          ⊕ trap_get ↦ primcall_trap_info_get_compatsem trap_info_get_spec
          ⊕ trap_set ↦ primcall_trap_info_ret_compatsem trap_info_ret_spec
          ⊕ accessors ↦ {| exec_load := (@exec_loadex _ _ _ _ _ _ _ _ _ _ _ _ _ _ Hmwd);
                           exec_store := (@exec_storeex _ _ _ _ _ _ _ _ _ _ _ _ _ _ Hmwd) |}.

  Definition mptcommon : compatlayer (cdata RData) := mptcommon_fresh ⊕ mptcommon_passthrough.

End WITHMEM.