X-Git-Url: http://git.megacz.com/?a=blobdiff_plain;f=src%2FHaskStrongToWeak.v;h=191162b3824c1e1e0eb127e66400d329684a89f3;hb=8efffc7368b5e54c42461f45a9708ff2828409a4;hp=d5eeecf5a160f2826a60513b07524b9723fa8071;hpb=ff44b3a9529a8660185f292897aae2f243af51a2;p=coq-hetmet.git diff --git a/src/HaskStrongToWeak.v b/src/HaskStrongToWeak.v index d5eeecf..191162b 100644 --- a/src/HaskStrongToWeak.v +++ b/src/HaskStrongToWeak.v @@ -11,50 +11,53 @@ Require Import Coq.Lists.List. Require Import Coq.Init.Specif. Require Import HaskKinds. Require Import HaskCoreLiterals. +Require Import HaskCoreVars. +Require Import HaskCoreTypes. +Require Import HaskCore. Require Import HaskWeakTypes. Require Import HaskWeakVars. Require Import HaskWeak. Require Import HaskStrongTypes. Require Import HaskStrong. -CoInductive Fresh A T := -{ next : forall a:A, (T a * Fresh A T) -; split : Fresh A T * Fresh A T -}. +Fixpoint mfresh (f:Fresh Kind (fun _ => WeakTypeVar))(lk:list Kind){Γ}(ite:IList _ (fun _ => WeakTypeVar) Γ) + : (Fresh Kind (fun _ => WeakTypeVar)) * ((vec WeakTypeVar (length lk)) * (IList _ (fun _ => WeakTypeVar) (app lk Γ))) := + match lk as LK return (Fresh Kind (fun _ => WeakTypeVar)) * ((vec WeakTypeVar (length LK)) * + (IList _ (fun _ => WeakTypeVar) (app LK Γ))) with + | nil => (f,(vec_nil,ite)) + | k::lk' => + let (f',varsite') := mfresh f lk' ite + in let (vars,ite') := varsite' + in let (v,f'') := next _ _ f' k + in (f'',((v:::vars),v::::ite')) + end. -Fixpoint rawHaskTypeToWeakType (f:Fresh Kind (fun _ => WeakTypeVar))(rht:RawHaskType WeakTypeVar) {struct rht} : WeakType := +Fixpoint rawHaskTypeToWeakType (f:Fresh Kind (fun _ => WeakTypeVar)){κ}(rht:RawHaskType (fun _ => WeakTypeVar) κ) + {struct rht} : WeakType := match rht with - | TVar v => WTyVarTy v + | TVar _ v => WTyVarTy v | TCon tc => WTyCon tc - | TCoerc t1 t2 t3 => WCoFunTy (rawHaskTypeToWeakType f t1) (rawHaskTypeToWeakType f t2) (rawHaskTypeToWeakType f t3) + | TCoerc _ t1 t2 t3 => WCoFunTy (rawHaskTypeToWeakType f t1) (rawHaskTypeToWeakType f t2) (rawHaskTypeToWeakType f t3) | TArrow => WFunTyCon - | TApp t1 t2 => WAppTy (rawHaskTypeToWeakType f t1) (rawHaskTypeToWeakType f t2) + | TApp _ _ t1 t2 => WAppTy (rawHaskTypeToWeakType f t1) (rawHaskTypeToWeakType f t2) | TAll k rht' => let (tv,f') := next _ _ f k in WForAllTy tv (rawHaskTypeToWeakType f' (rht' tv)) | TCode t1 t2 => match (rawHaskTypeToWeakType f t1) with | WTyVarTy ec => WCodeTy ec (rawHaskTypeToWeakType f t2) | impossible => impossible (* TODO: find a way to convince Coq this can't happen *) end - | TFCApp tfc tls => WTyFunApp tfc ((fix rawHaskTypeToWeakTypeVec n v : list WeakType := - match v with - | vec_nil => nil - | a:::b => (rawHaskTypeToWeakType f a)::(rawHaskTypeToWeakTypeVec _ b) - end) _ tls) + | TyFunApp tfc tls => WTyFunApp tfc (rawHaskTypeListToWeakType f tls) +end +with rawHaskTypeListToWeakType (f:Fresh Kind (fun _ => WeakTypeVar)){κ}(rht:RawHaskTypeList κ) := +match rht with + | TyFunApp_nil => nil + | TyFunApp_cons κ kl rht' rhtl' => (rawHaskTypeToWeakType f rht')::(rawHaskTypeListToWeakType f rhtl') end. - Definition typeToWeakType (f:Fresh Kind (fun _ => WeakTypeVar)) - {Γ}(τ:HaskType Γ)(φ:InstantiatedTypeEnv WeakTypeVar Γ) : WeakType := + {Γ}{κ}(τ:HaskType Γ κ)(φ:InstantiatedTypeEnv (fun _ => WeakTypeVar) Γ) : WeakType := rawHaskTypeToWeakType f (τ _ φ). -Variable unsafeCoerce : WeakCoercion. - Extract Inlined Constant unsafeCoerce => "Coercion.unsafeCoerce". - -Definition strongCoercionToWeakCoercion {Γ}{Δ}(τ:HaskCoercion Γ Δ)(φ:InstantiatedTypeEnv WeakTypeVar Γ) : WeakCoercion. - unfold HaskCoercion in τ. - admit. - Defined. - (* This can be used to turn HaskStrong's with arbitrary expression variables into HaskStrong's which use WeakExprVar's * for their variables; those can subsequently be passed to the following function (strongExprToWeakExpr) *) (* @@ -63,62 +66,82 @@ Definition reindexStrongExpr {VV}{HH}{eqVV:EqDecidable VV}{eqHH:EqDecidable HH} Defined. *) -Definition updateITE {Γ:TypeEnv}{TV:Type}(tv:TV){κ}(ite:InstantiatedTypeEnv TV Γ) : InstantiatedTypeEnv TV (κ::Γ) - := tv:::ite. +Definition updateITE {Γ:TypeEnv}{TV:Kind->Type}{κ}(tv:TV κ)(ite:InstantiatedTypeEnv TV Γ) : InstantiatedTypeEnv TV (κ::Γ) + := tv::::ite. + +Section strongExprToWeakExpr. -Fixpoint strongExprToWeakExpr {Γ}{Δ}{ξ}{lev} + Context (hetmet_brak : CoreVar). + Context (hetmet_esc : CoreVar). +Axiom FIXME : forall {t}, t. + +Fixpoint strongExprToWeakExpr {Γ}{Δ}{ξ}{τ} (ftv:Fresh Kind (fun _ => WeakTypeVar)) (fcv:Fresh (WeakType*WeakType) (fun _ => WeakCoerVar)) - (exp:@Expr WeakExprVar _ Γ Δ ξ lev) - : InstantiatedTypeEnv WeakTypeVar Γ -> WeakExpr := -match exp as E in Expr G D X L return InstantiatedTypeEnv WeakTypeVar G -> WeakExpr with -| EVar _ _ _ ev => fun ite => WEVar ev + (exp:@Expr _ CoreVarEqDecidable Γ Δ ξ τ) + : InstantiatedTypeEnv (fun _ => WeakTypeVar) Γ -> WeakExpr := +match exp as E in @Expr _ _ G D X L return InstantiatedTypeEnv (fun _ => WeakTypeVar) G -> WeakExpr with +| EVar Γ' _ ξ' ev => fun ite => WEVar (weakExprVar ev (@typeToWeakType ftv Γ' ★ (unlev (ξ' ev)) ite)) | ELit _ _ _ lit _ => fun ite => WELit lit | EApp Γ' _ _ _ _ _ e1 e2 => fun ite => WEApp (strongExprToWeakExpr ftv fcv e1 ite) (strongExprToWeakExpr ftv fcv e2 ite) -| ELam Γ' _ _ _ _ _ cv _ e => fun ite => WELam cv (strongExprToWeakExpr ftv fcv e ite) -| ELet Γ' _ _ _ _ _ ev e1 e2 => fun ite => WELet ev (strongExprToWeakExpr ftv fcv e1 ite) (strongExprToWeakExpr ftv fcv e2 ite) -| EEsc Γ' _ _ ec t _ e => fun ite => WEEsc (ec _ ite) (strongExprToWeakExpr ftv fcv e ite) (typeToWeakType ftv t ite) -| EBrak Γ' _ _ ec t _ e => fun ite => WEBrak (ec _ ite) (strongExprToWeakExpr ftv fcv e ite) (typeToWeakType ftv t ite) -| ECast _ _ _ γ _ τ _ _ e => fun ite => WECast (strongExprToWeakExpr ftv fcv e ite) (strongCoercionToWeakCoercion γ ite) +| ELam Γ' _ _ _ t _ cv e => fun ite => WELam (weakExprVar cv (typeToWeakType ftv t ite)) (strongExprToWeakExpr ftv fcv e ite) +| ELet Γ' _ _ t _ _ ev e1 e2 => fun ite => WELet (weakExprVar ev (typeToWeakType ftv t ite)) (strongExprToWeakExpr ftv fcv e1 ite) (strongExprToWeakExpr ftv fcv e2 ite) +| EEsc Γ' _ _ ec t _ e => fun ite => WEEsc hetmet_esc (ec _ ite) (strongExprToWeakExpr ftv fcv e ite) (typeToWeakType ftv t ite) +| EBrak Γ' _ _ ec t _ e => fun ite => WEBrak hetmet_brak (ec _ ite) (strongExprToWeakExpr ftv fcv e ite) (typeToWeakType ftv t ite) | ENote _ _ _ _ n e => fun ite => WENote n (strongExprToWeakExpr ftv fcv e ite) -| ETyApp _ _ _ _ τ _ _ _ e => fun ite => WETyApp (strongExprToWeakExpr ftv fcv e ite) (typeToWeakType ftv τ ite) -| ELetRec _ _ _ _ _ vars elrb e => fun ite => WELetRec (exprLetRec2WeakExprLetRec ftv fcv elrb ite) (strongExprToWeakExpr ftv fcv e ite) -| ECoApp _ _ γ _ _ _ _ _ _ e => fun ite => WECoApp (strongExprToWeakExpr ftv fcv e ite) (strongCoercionToWeakCoercion γ ite) -| ECase Γ Δ ξ l tc atypes tbranches e alts => - fun ite => WECase (strongExprToWeakExpr ftv fcv e ite) - (@typeToWeakType ftv Γ tbranches ite) tc (map (fun t => typeToWeakType ftv t ite) (vec2list atypes)) +| ETyApp Γ Δ κ σ τ ξ l e => fun ite => WETyApp (strongExprToWeakExpr ftv fcv e ite) (typeToWeakType ftv τ ite) +| ELetRec _ _ _ _ _ vars elrb e =>fun ite=>WELetRec (exprLetRec2WeakExprLetRec ftv fcv elrb ite)(strongExprToWeakExpr ftv fcv e ite) +| ECast Γ Δ ξ t1 t2 γ l e => fun ite => FIXME +(* WECast (strongExprToWeakExpr ftv fcv e ite) (strongCoercionToWeakCoercion γ ite)*) + +| ECoApp Γ Δ κ σ₁ σ₂ γ σ ξ l e => fun ite => FIXME +(* WECoApp (strongExprToWeakExpr ftv fcv e ite) (strongCoercionToWeakCoercion γ ite)*) +| ECase Γ Δ ξ l tc tbranches atypes e alts => + fun ite => WECase + FIXME + (strongExprToWeakExpr ftv fcv e ite) + (@typeToWeakType ftv Γ _ tbranches ite) + tc + (ilist_to_list (@ilmap _ _ (fun _ => WeakType) _ (fun _ t => typeToWeakType ftv t ite) atypes)) ((fix caseBranches (tree:Tree ??{ scb : StrongCaseBranchWithVVs _ _ tc atypes & Expr (sac_Γ scb Γ) (sac_Δ scb Γ atypes (weakCK'' Δ)) - (update_ξ (weakLT'○ξ) (vec2list (vec_map (fun x => ((fst x),(snd x @@ weakL' l))) (scbwv_varstypes scb)))) + (update_ξ (weakLT'○ξ) (vec2list (vec_map + (fun x => ((fst x),(snd x @@ weakL' l))) (scbwv_varstypes scb)))) (weakLT' (tbranches@@l)) }) : Tree ??(AltCon * list WeakTypeVar * list WeakCoerVar * list WeakExprVar * WeakExpr) := match tree with | T_Leaf None => [] | T_Leaf (Some x) => let (scb,e) := x in -(* [(sac_altcon scb, - nil, (* FIXME *) - nil, (* FIXME *) - (*map (fun t => typeToWeakType ftv t ite') (vec2list (sac_types scb))*)nil, (* FIXME *) - strongExprToWeakExpr ftv fcv e (weakITE' ite))]*) [] + let (ftv',evarsite') := mfresh ftv _ ite in + let fcv' := fcv in + let (evars,ite') := evarsite' in + [(sac_altcon scb, + vec2list evars, + nil (*FIXME*), + map (fun vt => weakExprVar (fst vt) (typeToWeakType ftv' (snd vt) ite')) (vec2list (scbwv_varstypes scb)), + strongExprToWeakExpr ftv' fcv' e ite' + )] | T_Branch b1 b2 => (caseBranches b1),,(caseBranches b2) end ) alts) | ETyLam _ _ _ k _ _ e => fun ite => let (tv,ftv') := next _ _ ftv k in WETyLam tv (strongExprToWeakExpr ftv' fcv e (updateITE tv ite)) -| ECoLam _ _ k _ t1 t2 _ _ _ _ e => fun ite => - let t1' := typeToWeakType ftv t1 ite in - let t2' := typeToWeakType ftv t2 ite in +| ECoLam Γ Δ κ σ σ₁ σ₂ ξ l e => fun ite => + let t1' := typeToWeakType ftv σ₁ ite in + let t2' := typeToWeakType ftv σ₂ ite in let (cv,fcv') := next _ _ fcv (t1',t2') in WECoLam cv (strongExprToWeakExpr ftv fcv' e ite) end -with exprLetRec2WeakExprLetRec {Γ}{Δ}{ξ}{lev}{vars} +with exprLetRec2WeakExprLetRec {Γ}{Δ}{ξ}{τ}{vars} (ftv:Fresh Kind (fun _ => WeakTypeVar)) (fcv:Fresh (WeakType*WeakType) (fun _ => WeakCoerVar)) - (elrb:@ELetRecBindings WeakExprVar _ Γ Δ ξ lev vars) - : InstantiatedTypeEnv WeakTypeVar Γ -> Tree ??(WeakExprVar * WeakExpr) := -match elrb as E in ELetRecBindings G D X L V return InstantiatedTypeEnv WeakTypeVar G -> Tree ??(WeakExprVar * WeakExpr) with + (elrb:@ELetRecBindings _ CoreVarEqDecidable Γ Δ ξ τ vars) + : InstantiatedTypeEnv (fun _ => WeakTypeVar) Γ -> Tree ??(WeakExprVar * WeakExpr) := +match elrb as E in ELetRecBindings G D X L V + return InstantiatedTypeEnv (fun _ => WeakTypeVar) G -> Tree ??(WeakExprVar * WeakExpr) with | ELR_nil _ _ _ _ => fun ite => [] -| ELR_leaf _ _ _ _ cv v e => fun ite => [(v,(strongExprToWeakExpr ftv fcv e ite))] +| ELR_leaf _ _ ξ' cv v e => fun ite => [((weakExprVar v (typeToWeakType ftv (unlev (ξ' v)) ite)),(strongExprToWeakExpr ftv fcv e ite))] | ELR_branch _ _ _ _ _ _ b1 b2 => fun ite => (exprLetRec2WeakExprLetRec ftv fcv b1 ite),, (exprLetRec2WeakExprLetRec ftv fcv b2 ite) end. +End strongExprToWeakExpr. \ No newline at end of file