Library mcertikos.mcslock.MHMCSLockOp

This file defines the abstract data and the primitives for the MHMCSLockOp layer, which will introduce abstraction of kernel context
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 LoadStoreSem1.
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 FutureTactic.
Require Import AbstractDataType.

Require Export ObjCPU.
Require Export ObjMM.
Require Export ObjFlatMem.
Require Export ObjMultiprocessor.
Require Export ObjSerialDevice.
Require Export ObjKeyboard.
Require Export ObjInterruptController.
Require Export ObjX86.
Require Export ObjMCSLock.
Require Import ObjQLock.

Require Import CalMCSLock.
Require Import INVLemmaQSLock.
Require Import INVLemmaQLock.

Abstract Data and Primitives at this layer

Section WITHMEM.

  Local Open Scope Z_scope.

  Context `{real_params: RealParams}.
  Context `{mcs_oracle_prop: MCSOracleProp}.

**Definition of the raw data at this layer

**Definition of the invariants at MPTNew layer 0th page map is reserved for the kernel thread
  Record high_level_invariant (abd: RData) :=
    mkInvariant {
        CPU_ID_range: 0 (CPU_ID abd) < TOTAL_CPU;
        valid_curid: 0 ZMap.get (CPU_ID abd) (cid abd) < num_proc;
        valid_multi_oracle_pool_inv: valid_multi_oracle_pool_H (multi_oracle abd);
        valid_hlock_pool_inv: valid_hlock_pool (multi_log abd)
      }.

Definition of the abstract state ops

  Global Instance mhticketlockop_data_ops : CompatDataOps RData :=
    {
      empty_data := init_adt multi_oracle_init1;
      high_level_invariant := high_level_invariant;
      low_level_invariant := low_level_invariant;
      kernel_mode adt := ikern adt = true ihost adt = true
    }.

Proofs that the initial abstract_data should satisfy the invariants

  Section Property_Abstract_Data.

    Lemma empty_data_high_level_invariant:
      high_level_invariant (init_adt multi_oracle_init1).
    Proof.
      constructor; trivial; simpl; try congruence; intros.
      - apply current_CPU_ID_range.
      - rewrite ZMap.gi; intuition.
      - apply valid_mcs_oracle1.
      - apply valid_hlock_pool_init.
    Qed.

Definition of the abstract state

    Global Instance mhticketlockop_data_prf : CompatData RData.
    Proof.
      constructor.
      - apply low_level_invariant_incr.
      - apply empty_data_low_level_invariant.
      - apply empty_data_high_level_invariant.
    Qed.

  End Property_Abstract_Data.

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

Proofs that the primitives satisfies the invariants at this layer

  Section INV.

    Global Instance setPG_inv: PreservesInvariants setPG_spec.
    Proof.
      preserves_invariants_simpl_auto.
    Qed.

    Global Instance fstore_inv: PreservesInvariants fstore´_spec.
    Proof.
      preserves_invariants_simpl_auto.
    Qed.

    Global Instance setCR3_inv: SetCR3Invariants setCR3_spec.
    Proof.
      constructor; intros.
      - functional inversion H; inv H0; constructor; trivial.
      - functional inversion H; inv H0; constructor; auto.
      - functional inversion H; simpl in *; assumption.
    Qed.

    Global Instance trapin_inv: PrimInvariants trapin_spec.
    Proof.
      PrimInvariants_simpl_auto.
    Qed.

    Global Instance trapout_inv: PrimInvariants trapout´_spec.
    Proof.
      PrimInvariants_simpl_auto.
    Qed.

    Global Instance hostin_inv: PrimInvariants hostin_spec.
    Proof.
      PrimInvariants_simpl_auto.
    Qed.

    Global Instance hostout_inv: PrimInvariants hostout´_spec.
    Proof.
      PrimInvariants_simpl_auto.
    Qed.

    Global Instance set_curid_inv: PreservesInvariants set_curid_spec.
    Proof.
      preserves_invariants_simpl_auto; eauto 2.
      - rewrite ZMap.gss. auto.
    Qed.

    Global Instance set_curid_init_inv: PreservesInvariants set_curid_init_spec.
    Proof.
      preserves_invariants_simpl_auto; eauto 2.
      case_eq (zeq (CPU_ID d) (Int.unsigned i)); subst.
      - intros.
        rewrite e; rewrite ZMap.gss; omega.
      - intros; rewrite ZMap.gso; auto.
    Qed.


    Global Instance mcs_lock_init_inv: PreservesInvariants ticket_lock_init0_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant.
      - eassumption.
      - eapply real_valid_hlock_pool; assumption.
    Qed.

    Global Instance acquire_shared_inv: SAcquireInvariants acquire_shared_spec0.
    Proof.
      constructor; unfold acquire_shared_spec; intros; subdestruct;
      inv H; inv H0; constructor; auto.
      - eapply valid_hlock_pool_gss´; eauto.
    Qed.

    Global Instance release_shared_inv: ReleaseInvariants release_shared_spec0.
    Proof.
      constructor; unfold release_shared_spec; intros; subdestruct;
      inv H; inv H0; constructor; auto.
      - eapply valid_hlock_pool_gss´; eauto.
    Qed.

    Global Instance mcs_pass_lock_inv: PreservesInvariants pass_hlock_spec.
    Proof.
      preserves_invariants_simpl_auto1.
      - eapply valid_hlock_pool_gss´; eauto.
    Qed.

    Global Instance mcs_wait_lock_inv: PreservesInvariants wait_hlock_spec.
    Proof.
      preserves_invariants_simpl_auto1.
      - eapply valid_hlock_pool_gss´; eauto.
    Qed.

    Global Instance cli_inv: PreservesInvariants cli_spec.
    Proof.
      econstructor; intros; inv H; functional inversion H1; subst.
      - inv H0; constructor; trivial.
      - inv H0; constructor; auto.
      - simpl in *; assumption.
    Qed.

    Global Instance sti_inv: PreservesInvariants sti_spec.
    Proof.
      econstructor; intros; inv H; functional inversion H1; subst.
      - inv H0; constructor; trivial.
      - inv H0; constructor; auto.
      - simpl in *; assumption.
    Qed.

    Require Import FutureTactic.

    Global Instance serial_in_inv: PreservesInvariants serial_in_spec.
    Proof.
      preserves_invariants_subst low_level_invariant high_level_invariant; eauto.
    Qed.

    Global Instance serial_out_inv: PreservesInvariants serial_out_spec.
    Proof.
      preserves_invariants_subst low_level_invariant high_level_invariant; eauto.
    Qed.

    Global Instance serial_hw_intr_inv: PreservesInvariants serial_hw_intr_spec.
    Proof.
      preserves_invariants_nested low_level_invariant high_level_invariant; eauto.
    Qed.

    Global Instance ic_intr_inv: PreservesInvariants ic_intr_spec.
    Proof.
      preserves_invariants_nested low_level_invariant high_level_invariant; eauto.
    Qed.

    Global Instance keyboard_in_inv: PreservesInvariants keyboard_in_spec.
    Proof.
      preserves_invariants_subst low_level_invariant high_level_invariant; eauto.
    Qed.

    Global Instance keyboard_hw_intr_inv: PreservesInvariants keyboard_hw_intr_spec.
    Proof.
      preserves_invariants_nested low_level_invariant high_level_invariant; eauto.
    Qed.

    Global Instance ioapic_read_inv: PreservesInvariants ioapic_read_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; eauto.
    Qed.

    Global Instance ioapic_write_inv: PreservesInvariants ioapic_write_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; eauto.
    Qed.

    Global Instance lapic_read_inv: PreservesInvariants lapic_read_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; eauto.
    Qed.

    Global Instance lapic_write_inv: PreservesInvariants lapic_write_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; eauto.
    Qed.

    Global Instance iret_inv: PreservesInvariants iret_spec.
    Proof.
      preserves_invariants_direct low_level_invariant high_level_invariant; eauto 2.
    Qed.

    Global Instance local_irq_save_inv: PreservesInvariants local_irq_save_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; eauto 2.
    Qed.

    Global Instance local_irq_restore_inv: PreservesInvariants local_irq_restore_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; eauto 2.
    Qed.

    Global Instance save_context_inv: SaveContextInvariants save_context_spec.
    Proof.
      constructor; intros.
      -
        inv H0. unfold save_context_spec; simpl. inv H1.
        constructor; simpl; trivial.
        induction (tf d).
        simpl.
        constructor.
        constructor.
        simpl.
        apply inv_reg_wt.
        simpl.
        inv inv_inject_neutral.
        eapply inv_reg_inject_neutral; auto.
        constructor.
        constructor.
        inv tf_INJECT.
        assumption.
        eapply IHt; auto.
        inv tf_INJECT.
        assumption.
      -
        inv H0. unfold save_context_spec; simpl.
        constructor; simpl; trivial.
    Qed.

    Global Instance restore_context_inv: RestoreContextInvariants restore_context_spec.
    Proof.
      constructor; intros.
      -
        inv H0.
        functional inversion H; inv H1;
        constructor; simpl; trivial.
        rewrite H4 in ×.
        clear H4 H.
        generalize dependent _x.
        induction _x0.
        intros.
        simpl in ×.
        constructor.
        intros.
        simpl in ×.
        constructor.
        inv tf_INJECT.
        assumption.
        eapply IH_x0; auto.
        inv tf_INJECT; assumption.
      -
        inv H0.
        functional inversion H; subst;
        constructor; simpl; trivial.
    Qed.

    Global Instance proc_create_postinit_inv:
      PreservesInvariants proc_create_postinit_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; eauto 2.
    Qed.

  End INV.

  Definition exec_loadex {F V} := exec_loadex1 (F := F) (V := V).

  Definition exec_storeex {F V} := exec_storeex1 (flatmem_store:= flatmem_store´) (F := F) (V := V).

  Global Instance flatmem_store_inv: FlatmemStoreInvariant (flatmem_store:= flatmem_store´).
  Proof.
    split; inversion 1; intros.
    - functional inversion H0; constructor; auto.
    - functional inversion H1; constructor; auto.
  Qed.

  Global Instance trapinfo_set_inv: TrapinfoSetInvariant.
  Proof.
    split; inversion 1; intros; constructor; auto.
  Qed.


  Global Instance page_copy_back_inv: PreservesInvariants page_copy_back´_spec.
  Proof.
    preserves_invariants_simpl_auto.
  Qed.

  Global Instance page_copy_inv: PreservesInvariants page_copy´_spec.
  Proof.
    preserves_invariants_simpl_auto.
    - eapply valid_hlock_pool_gss´; eauto.
  Qed.

  Definition mhticketlockop_fresh : compatlayer (cdata RData) :=
    .

  Definition mhticketlockop_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 setPG_spec
           set_cr3 setCR3_compatsem setCR3_spec
           get_size gensem MMSize
           is_usable gensem is_mm_usable_spec
           get_mms gensem get_mm_s_spec
           get_mml gensem get_mm_l_spec
           get_CPU_ID gensem get_CPU_ID_spec
           release_shared primcall_release_lock_compatsem release_shared release_shared_spec0
           acquire_shared primcall_acquire_shared_compatsem acquire_shared_spec0
           get_curid gensem get_curid_spec
           set_curid gensem set_curid_spec
           set_curid_init gensem set_curid_init_spec

          
           ticket_lock_init gensem ticket_lock_init0_spec
           pass_lock gensem pass_hlock_spec
           wait_lock gensem wait_hlock_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
           serial_irq_check gensem serial_irq_check_spec
           iret gensem iret_spec
           cli gensem cli_spec
           sti gensem sti_spec
           serial_irq_current gensem serial_irq_current_spec
           ic_intr gensem ic_intr_spec
           save_context primcall_save_context_compatsem save_context_spec
           restore_context primcall_restore_context_compatsem restore_context_spec
           local_irq_save gensem local_irq_save_spec
           local_irq_restore gensem local_irq_restore_spec
           serial_in gensem serial_in_spec
serial device
           serial_out gensem serial_out_spec
serial device
           serial_hw_intr gensem serial_hw_intr_spec
serial device
           ioapic_read gensem ioapic_read_spec
ioapic device
           ioapic_write gensem ioapic_write_spec
ioapic device
           lapic_read gensem lapic_read_spec
lapic device
           lapic_write gensem lapic_write_spec
lapic device
           accessors {| exec_load := @exec_loadex; exec_store := @exec_storeex |}.

    Definition mhticketlockop :=
      mhticketlockop_fresh mhticketlockop_passthrough.

End WITHMEM.