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.

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

Require Import AbstractDataType.
Require Import MTicketLockIntro.

Section TICKETLOCKOP_DEFINE.

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

  Notation LDATAOps := (cdata RData).

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

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

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

  Section WITHMEM.

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

    Definition ticket_lock_init_spec_low: compatsem LDATAOps :=
      csem ticket_lock_init_spec_low_step (type_of_list_type (Tint32::nil)) Tvoid.

    Definition wait_lock_spec_low: compatsem LDATAOps :=
      csem wait_lock_spec_low_step (type_of_list_type (Tint32::Tint32::Tint32::nil)) Tvoid.

    Definition pass_lock_spec_low: compatsem LDATAOps :=
      csem pass_lock_spec_low_step (type_of_list_type (Tint32::Tint32::nil)) Tvoid.

  End WITHMEM.

End TICKETLOCKOP_DEFINE.