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 AuxLemma.
Require Import FlatMemory.
Require Import AuxStateDataType.
Require Import Constant.
Require Import GlobIdent.
Require Import RealParams.
Require Import AsmImplLemma.
Require Import GenSem.
Require Import PrimSemantics.

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 AbstractDataType.
Require Import PAbQueue.
Require Export Conventions.

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

Section Refinement.

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

  Notation LDATA := RData.

  Notation LDATAOps := (cdata LDATA).

  Inductive enqueue_atomic_spec_low_step `{StencilOps} `{Mem.MemoryModelOps} `{UseMemWithData mem}:
    sextcall_sem (mem := mwd LDATAOps):=
  | enqueue_atomic_spec_low_intro s (WB: _ → Prop) m´0 labd labd´ n i:
      enqueue_atomic_spec (Int.unsigned n) (Int.unsigned i) labd = Some labd´ →
      kernel_mode labd →
      high_level_invariant labd →
      enqueue_atomic_spec_low_step s WB (Vint n :: Vint i :: nil) (m´0, labd) Vundef (m´0, labd´).

  Inductive dequeue_atomic_spec_low_step `{StencilOps} `{Mem.MemoryModelOps} `{UseMemWithData mem}:
    sextcall_sem (mem := mwd LDATAOps):=
  | dequeue_atomic_spec_low_intro s (WB: _ → Prop) m´0 labd labd´ n i:
      dequeue_atomic_spec (Int.unsigned n) labd = Some (labd´, (Int.unsigned i)) →
      kernel_mode labd →
      high_level_invariant labd →
      dequeue_atomic_spec_low_step s WB (Vint n :: nil) (m´0, labd) (Vint i) (m´0, labd´).

  Section WITHMEM.

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

    Definition enqueue_atomic_spec_low: compatsem LDATAOps :=
      csem enqueue_atomic_spec_low_step (type_of_list_type (Tint32::Tint32::nil)) Tvoid.

    Definition dequeue_atomic_spec_low: compatsem LDATAOps :=
      csem dequeue_atomic_spec_low_step (type_of_list_type (Tint32::nil)) Tint32.

  End WITHMEM.

End Refinement.