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

Require Import CalRealPTPool.
Require Import CalRealPT.
Require Import CalRealIDPDE.
Require Import CalRealInitPTE.
Require Import CalRealSMSPool.

Require Import INVLemmaContainer.
Require Import INVLemmaMemory.

Require Export MShareIntro.
Require Import AbstractDataType.

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

Section WITHMEM.

  Local Open Scope Z_scope.

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

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

  Section INV.

    Global Instance shared_mem_to_pending_inv:
      PreservesInvariants shared_mem_to_pending_spec.
    Proof.
      preserves_invariants_simpl_auto.
    Qed.

    Global Instance shared_mem_to_dead_inv:
      PreservesInvariants shared_mem_to_dead_spec.
    Proof.
      preserves_invariants_simpl_auto.
    Qed.

    Global Instance shared_mem_to_ready_inv:
      PreservesInvariants shared_mem_to_ready_spec.
    Proof.
      preserves_invariants_simpl´; functional inversion H2; subst.
      - eapply ptResv2_low_level_inv; eauto.
      - exploit ptResv2_low_level_inv; eauto.
        intros HP; inv HP. constructor; trivial.
      - eapply ptResv2_high_level_inv; eauto.
      - exploit ptResv2_high_level_inv; eauto.
        intros HP; inv HP. constructor; trivial.
      - eapply ptResv2_kernel_mode; eauto.
      - exploit ptResv2_kernel_mode; eauto.
    Qed.

    Global Instance sharedmem_init_inv: PreservesInvariants sharedmem_init_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.
      - eapply real_pt_PMap_valid; eauto.
      - apply real_pt_PMap_kern.
      - omega.
      - assumption.
      - apply real_idpde_init.
      - apply real_pt_weak_consistent_pmap.
      - apply real_pt_consistent_pmap_domain.
      - apply Lreal_at_consistent_lat_domain.
      - eapply LATCTable_log_real; eauto.
      - assumption.
      - assumption.
      - eapply real_valid_hlock_pool1; eauto.
      - assumption.
      - eapply real_valid_AT_log_pool_H; eauto.
    Qed.

  End INV.

  Definition mshareop_fresh : compatlayer (cdata RData) :=
    shared_mem_to_pending ↦ gensem shared_mem_to_pending_spec
                          ⊕ shared_mem_to_dead ↦ gensem shared_mem_to_dead_spec
                          ⊕ shared_mem_to_ready ↦ gensem shared_mem_to_ready_spec
                          ⊕ get_shared_mem_status_seen ↦ gensem get_shared_mem_status_seen_spec
                          ⊕ shared_mem_init ↦ gensem sharedmem_init_spec.

  Definition mshareop_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
          ⊕ palloc ↦ gensem palloc_spec
          
          ⊕ set_pt ↦ gensem setPT_spec
          ⊕ pt_read ↦ gensem ptRead_spec
          ⊕ pt_resv ↦ gensem ptResv_spec
          ⊕ pt_resv2 ↦ gensem ptResv2_spec
          ⊕ pt_new ↦ gensem pt_new_spec
          
          ⊕ get_shared_mem_state ↦ gensem get_shared_mem_state_spec
          ⊕ get_shared_mem_seen ↦ gensem get_shared_mem_seen_spec
          ⊕ set_shared_mem_seen ↦ gensem set_shared_mem_seen_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_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

          ⊕ 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 mshareop : compatlayer (cdata RData) := mshareop_fresh ⊕ mshareop_passthrough.

End WITHMEM.

Section WITHPARAM.

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

  Local Open Scope Z_scope.

  Section Impl.

    Function ll_shared_mem_status_spec (pid1 pid2: Z) (adt: RData) : option (RData × Z) :=
      match (ikern adt, ihost adt, pg adt, ipt adt, shared_mem_arg pid1 pid2) with
        | (true, true, true, true, true) ⇒
          match ZMap.get pid2 (ZMap.get pid1 (smspool adt)) with
            | SHRDValid i´ true _ ⇒
              match get_shared_mem_status_seen_spec pid1 pid2 adt with
               | Some j ⇒ Some (adt, j)
               | _ ⇒ None
              end
            | SHRDValid i´ false vadr ⇒
              Some (adt {smspool: ZMap.set pid1 (ZMap.set pid2 (SHRDValid i´ true vadr)
                                                          (ZMap.get pid1 (smspool adt)))
                                           (smspool adt)}, SharedMemInfo2Z i´)
            | _ ⇒ None
          end
        | _ ⇒ None
      end.

    Function ll_offer_shared_mem_spec (pid1 pid2 vadr: Z) (adt: RData) : option (RData × Z) :=
      match (ikern adt, ihost adt, pg adt, ipt adt, shared_mem_arg pid1 pid2) with
        | (true, true, true, true, true) ⇒
          match ZMap.get pid2 (ZMap.get pid1 (smspool adt)) with
            | SHRDValid st _ _ ⇒
              if SharedMemInfo_dec st SHRDPEND then Some (adt, SHARED_MEM_PEND)
              else
                match ZMap.get pid1 (ZMap.get pid2 (smspool adt)) with
                  | SHRDValid st´ _ vadr´ ⇒
                    if zle_lt 0 vadr´ adr_max then
                      if SharedMemInfo_dec st´ SHRDPEND then
                        match shared_mem_to_ready_spec pid1 pid2 vadr adt with
                          | Some (adt´, re) ⇒
                            if zeq re MagicNumber
                            then match shared_mem_to_dead_spec pid1 pid2 vadr adt´ with
                                   | Some adt´´ ⇒ Some (adt´´, SHARED_MEM_DEAD)
                                   | _ ⇒ None
                                 end
                            else Some (adt´, SHARED_MEM_READY)
                          | _ ⇒ None
                        end
                      else match shared_mem_to_pending_spec pid1 pid2 vadr adt with
                             | Some adt´´ ⇒ Some (adt´´, SHARED_MEM_PEND)
                             | _ ⇒ None
                           end
                    else None
                  | _ ⇒ None
                end
            | _ ⇒ None
          end
        | _ ⇒ None
      end.

  End Impl.

End WITHPARAM.