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|
Require Import QhasmEvalCommon Pseudo.
Require Import Language.
Require Import List.
Module Medial (Arch: PseudoMachine) <: Language.
Import MedState EvalUtil Arch.
Definition W := word width.
(* Program Types *)
Definition State := MedState width.
Transparent State.
Inductive MAssignment : Type :=
| MAVar: nat -> nat -> MAssignment
| MAMem: forall m, nat -> nat -> Index m -> MAssignment
| MAConst: nat -> W -> MAssignment.
Inductive MOperation :=
| MIOpConst: IntOp -> nat -> W -> MOperation
| MIOpReg: IntOp -> nat -> nat -> MOperation
| MCOpReg: CarryOp -> nat -> nat -> MOperation
| MDOpReg: DualOp -> nat -> nat -> option nat -> MOperation
| MOpRot: RotOp -> nat -> Index width -> MOperation.
Inductive MConditional :=
| MZ: nat -> MConditional
| MCReg: TestOp -> nat -> nat -> MConditional
| MCConst: TestOp -> nat -> W -> MConditional.
Inductive Medial: Set :=
| MSkip: Medial
| MSeq: Medial -> Medial -> Medial
| MAssign: MAssignment -> Medial
| MOp: MOperation -> Medial
| MCond: MConditional -> Medial -> Medial -> Medial
| MFunexp: nat -> Medial -> Medial
| MDef: nat -> Medial -> Medial -> Medial
| MCall: nat -> Medial.
Definition Program := Medial.
Fixpoint inline (l: nat) (f p: Medial) :=
match p with
| MSeq a b => MSeq (inline l f a) (inline l f b)
| MCond c a b => MCond c (inline l f a) (inline l f b)
| MFunexp e a => MFunexp e (inline l f a)
| MDef l' f' p' =>
if (Nat.eq_dec l l')
then p
else MDef l' (inline l f f') (inline l f p')
| MCall l' =>
if (Nat.eq_dec l l')
then f
else p
| _ => p
end.
Fixpoint inlineAll (p: Medial) :=
match p with
| MSeq a b => MSeq (inlineAll a) (inlineAll b)
| MCond c a b => MCond c (inlineAll a) (inlineAll b)
| MFunexp e a => MFunexp e (inlineAll a)
| MDef l' f' p' => inline l' f' (inlineAll p')
| _ => p
end.
Fixpoint meval (m: Medial) (st: State): option State :=
let omap := fun {A B} (x: option A) (f: A -> option B) =>
match x with | Some y => f y | _ => None end in
match m with
| MSkip => Some st
| MSeq a b => omap (meval a st) (fun s => meval b s)
| MAssign a =>
match a with
| MAVar x y =>
match (getVar y st) with
| Some v => Some (setVar x v st)
| _ => None
end
| MAMem _ x y i =>
match (getMem y i st) with
| Some v => Some (setVar x v st)
| _ => None
end
| MAConst x c => Some (setVar x c st)
end
| MOp o =>
match o with
| MIOpConst io a c =>
omap (getVar a st) (fun v =>
let (res, c') := evalIntOp io v c in
Some (setVar a res (setCarryOpt c' st)))
| MIOpReg io a b =>
omap (getVar a st) (fun va =>
omap (getVar b st) (fun vb =>
let (res, c') := evalIntOp io va vb in
Some (setVar a res (setCarryOpt c' st))))
| MCOpReg o a b =>
omap (getVar a st) (fun va =>
omap (getVar b st) (fun vb =>
let c := match (snd st) with | Some b => b | _ => false end in
let (res, c') := evalCarryOp o va vb c in
Some (setVar a res (setCarry c' st))))
| MDOpReg duo a b (Some x) =>
omap (getVar a st) (fun va =>
omap (getVar b st) (fun vb =>
let (low, high) := evalDualOp duo va vb in
Some (setVar a low (setVar x high st))))
| MDOpReg duo a b None =>
omap (getVar a st) (fun va =>
omap (getVar b st) (fun vb =>
let (low, high) := evalDualOp duo va vb in
Some (setVar a low st)))
| MOpRot ro a x =>
omap (getVar a st) (fun v =>
let res := evalRotOp ro v (proj1_sig x) in
Some (setVar a res st))
end
| MCond c a b =>
match c with
| MCConst t x y =>
omap (getVar x st) (fun vx =>
if (evalTest t vx y)
then meval a st
else meval b st)
| MCReg t x y =>
omap (getVar x st) (fun vx =>
(* TODO: why can't we infer width here? *)
omap (@getVar width y st) (fun vy =>
if (evalTest t vx vy)
then meval a st
else meval b st))
| MZ x =>
omap (getVar x st) (fun vx =>
if (evalTest TEq vx (wzero width))
then meval a st
else meval b st)
end
| MFunexp n a =>
(fix fexp (m: nat) (f: State -> option State) (s: State) :=
match m with
| O => Some s
| S m' =>
match f s with
| None => None
| Some s' => fexp m' f s'
end
end
) n (meval a) st
| _ => None
end.
Definition evaluatesTo := fun m st0 st1 => meval (inlineAll m) st0 = Some st1.
(* world peace *)
End Medial.
|
