Generalizable All Variables.
Require Import Preamble.
-Require Import General.
Require Import Coq.Lists.List.
+Require Import General.
Require Import HaskKinds.
-Require Import HaskCoreLiterals.
+Require Import HaskLiterals.
+Require Import HaskTyCons.
Require Import HaskCoreVars.
Require Import HaskCoreTypes.
Require Import HaskCore.
Require Import HaskWeakTypes.
Require Import HaskWeak.
-Axiom tycons_distinct : ~(ArrowTyCon=ModalBoxTyCon).
-Variable tyConOrTyFun : CoreTyCon -> sum TyCon TyFun. Extract Inlined Constant tyConOrTyFun => "tyConOrTyFun".
+Variable tyConOrTyFun : CoreTyCon -> sum TyCon TyFun. Extract Inlined Constant tyConOrTyFun => "tyConOrTyFun".
+Variable coreViewDeep : CoreType -> CoreType. Extract Inlined Constant coreViewDeep => "coreViewDeep".
+Variable coercionKind : CoreCoercion -> (CoreType * CoreType).
+ Extract Inlined Constant coercionKind => "(\x -> Pair.unPair (Coercion.coercionKind x))".
+
+(* extracts the Name from a CoreVar *)
+Variable coreVarCoreName : CoreVar -> CoreName. Extract Inlined Constant coreVarCoreName => "Var.varName".
+
+(* the magic wired-in name for the modal type introduction/elimination forms *)
+Variable hetmet_brak_name : CoreName. Extract Inlined Constant hetmet_brak_name => "PrelNames.hetmet_brak_name".
+Variable hetmet_esc_name : CoreName. Extract Inlined Constant hetmet_esc_name => "PrelNames.hetmet_esc_name".
+Variable hetmet_csp_name : CoreName. Extract Inlined Constant hetmet_csp_name => "PrelNames.hetmet_csp_name".
+
+Definition mkTyFunApplication (tf:TyFun)(lwt:list WeakType) : ???WeakType :=
+ split_list lwt (length (fst (tyFunKind tf))) >>=
+ fun argsrest =>
+ let (args,rest) := argsrest in
+ OK (fold_left (fun x y => WAppTy x y) rest (WTyFunApp tf args)).
+
+(* a hack to evade the guardedness check of Fixpoint *)
+Variable coreTypeToWeakTypeCheat' : CoreType -> ???WeakType.
+Extract Inlined Constant coreTypeToWeakTypeCheat' => "coreTypeToWeakType'".
Fixpoint coreTypeToWeakType' (ct:CoreType) : ???WeakType :=
match ct with
| TyVarTy cv => match coreVarToWeakVar cv with
- | WExprVar _ => Error "encountered expression variable in a type"
- | WTypeVar tv => OK (WTyVarTy tv)
- | WCoerVar _ => Error "encountered coercion variable in a type"
+ | CVTWVR_EVar ct => Error "encountered expression variable in a type"
+ | CVTWVR_TyVar k => OK (WTyVarTy (weakTypeVar cv k))
+ | CVTWVR_CoVar t1 t2 => Error "encountered coercion variable in a type"
end
| AppTy t1 t2 => coreTypeToWeakType' t2 >>= fun t2' => coreTypeToWeakType' t1 >>= fun t1' => OK (WAppTy t1' t2')
| a::b => coreTypeToWeakType' a >>= fun a' => rec b >>= fun b' => OK (a'::b')
end) lct)
in match tyConOrTyFun tc_ with
- | inr tf => recurse >>= fun recurse' => OK (WTyFunApp tf recurse')
+ | inr tf => recurse >>= fun recurse' => mkTyFunApplication tf recurse'
| inl tc => if eqd_dec tc ModalBoxTyCon
then match lct with
| ((TyVarTy ec)::tbody::nil) =>
match coreVarToWeakVar ec with
- | WTypeVar ec' => coreTypeToWeakType' tbody >>= fun tbody' => OK (WCodeTy ec' tbody')
- | WExprVar _ => Error "encountered expression variable in a modal box type"
- | WCoerVar _ => Error "encountered coercion variable in a modal box type"
+ | CVTWVR_EVar ct => Error "encountered expression variable in a modal box type"
+ | CVTWVR_CoVar t1 t2 => Error "encountered coercion variable in a modal box type"
+ | CVTWVR_TyVar k => coreTypeToWeakType' tbody >>= fun tbody' =>
+ OK (WCodeTy (weakTypeVar ec k) tbody')
end
- | _ => Error "mis-applied modal box tycon"
+ | _ => Error ("mis-applied modal box tycon: " +++ toString ct)
end
else let tc' := if eqd_dec tc ArrowTyCon
then WFunTyCon
coreTypeToWeakType' t2 >>= fun t2' =>
OK (WAppTy (WAppTy WFunTyCon t1') t2')
| ForAllTy cv t => match coreVarToWeakVar cv with
- | WExprVar _ => Error "encountered expression variable in a type"
- | WTypeVar tv => coreTypeToWeakType' t >>= fun t' => OK (WForAllTy tv t')
- | WCoerVar _ => Error "encountered coercion variable in a type"
+ | CVTWVR_EVar ct => Error "encountered expression variable in a type abstraction"
+ | CVTWVR_TyVar k => coreTypeToWeakType' t >>= fun t' => OK (WForAllTy (weakTypeVar cv k) t')
+ | CVTWVR_CoVar t1 t2 => coreTypeToWeakTypeCheat' t1 >>= fun t1' =>
+ coreTypeToWeakTypeCheat' t2 >>= fun t2' =>
+ coreTypeToWeakType' t >>= fun t3' =>
+ OK (WCoFunTy t1' t2' t3')
end
| PredTy (ClassP cl lct) => ((fix rec tl := match tl with
| nil => OK nil
| PredTy (EqPred _ _) => Error "hit a bare EqPred"
end.
-Variable coreViewDeep : CoreType -> CoreType. Extract Inlined Constant coreViewDeep => "coreViewDeep".
-Definition coreTypeToWeakType t := coreTypeToWeakType' (coreViewDeep t).
+Definition coreTypeToWeakType t :=
+ addErrorMessage ("during coreTypeToWeakType on " +++ toString t +++ eol) (coreTypeToWeakType' (coreViewDeep t)).
+
+Definition coreVarToWeakVar' (cv:CoreVar) : ???WeakVar :=
+ addErrorMessage ("during coreVarToWeakVar on " +++ toString cv +++ eol)
+ match coreVarToWeakVar cv with
+ | CVTWVR_EVar ct => coreTypeToWeakType ct >>= fun t' => OK (WExprVar (weakExprVar cv t'))
+ | CVTWVR_TyVar k => OK (WTypeVar (weakTypeVar cv k))
+ | CVTWVR_CoVar t1 t2 =>
+ (* this will choke if given a coercion-between-coercions (EqPred (EqPred c1 c2) (EqPred c3 c4)) *)
+ addErrorMessage ("with t2=" +++ toString t2 +++ eol)
+ ((coreTypeToWeakType t2) >>= fun t2' =>
+ addErrorMessage ("with t1=" +++ toString t1 +++ eol)
+ (coreTypeToWeakType t1) >>= fun t1' =>
+ OK (WCoerVar (weakCoerVar cv t1' t2')))
+ end.
+Definition tyConTyVars (tc:CoreTyCon) :=
+ filter (map (fun x => match coreVarToWeakVar' x with OK (WTypeVar v) => Some v | _ => None end) (getTyConTyVars_ tc)).
+ Opaque tyConTyVars.
+Definition tyConKind (tc:TyCon) : list Kind := map (fun (x:WeakTypeVar) => x:Kind) (tyConTyVars tc).
(* detects our crude Core-encoding of modal type introduction/elimination forms *)
-Definition isBrak (ce:@CoreExpr CoreVar) : ??(WeakTypeVar * CoreType) :=
+Definition isBrak (ce:@CoreExpr CoreVar) : ??(WeakExprVar * WeakTypeVar * CoreType) :=
match ce with
| (CoreEApp (CoreEApp (CoreEVar v) (CoreEType (TyVarTy ec))) (CoreEType tbody))
=> if coreName_eq hetmet_brak_name (coreVarCoreName v) then
- match coreVarToWeakVar v with
- | WExprVar _ => None
- | WTypeVar tv => Some (tv,tbody)
- | WCoerVar _ => None
+ match coreVarToWeakVar' ec with
+ | OK (WTypeVar tv) => match coreVarToWeakVar' v with
+ | OK (WExprVar v') => Some (v',tv,tbody)
+ | _ => None
+ end
+ | _ => None
end else None
| _ => None
end.
-Definition isEsc (ce:@CoreExpr CoreVar) : ??(WeakTypeVar * CoreType) :=
+
+Definition isEsc (ce:@CoreExpr CoreVar) : ??(WeakExprVar * WeakTypeVar * CoreType) :=
match ce with
| (CoreEApp (CoreEApp (CoreEVar v) (CoreEType (TyVarTy ec))) (CoreEType tbody))
=> if coreName_eq hetmet_esc_name (coreVarCoreName v) then
- match coreVarToWeakVar v with
- | WExprVar _ => None
- | WTypeVar tv => Some (tv,tbody)
- | WCoerVar _ => None
+ match coreVarToWeakVar' ec with
+ | OK (WTypeVar tv) => match coreVarToWeakVar' v with
+ | OK (WExprVar v') => Some (v',tv,tbody)
+ | _ => None
+ end
+ | _ => None
+ end else None
+ | _ => None
+end.
+
+Definition isCSP (ce:@CoreExpr CoreVar) : ??(WeakExprVar * WeakTypeVar * CoreType) :=
+match ce with
+ | (CoreEApp (CoreEApp (CoreEVar v) (CoreEType (TyVarTy ec))) (CoreEType tbody))
+ => if coreName_eq hetmet_csp_name (coreVarCoreName v) then
+ match coreVarToWeakVar' ec with
+ | OK (WTypeVar tv) => match coreVarToWeakVar' v with
+ | OK (WExprVar v') => Some (v',tv,tbody)
+ | _ => None
+ end
+ | _ => None
end else None
| _ => None
end.
-Definition coreCoercionToWeakCoercion (cc:CoreCoercion) : ???WeakCoercion :=
- let (t1,t2) := coreCoercionKind cc
- in coreTypeToWeakType t1 >>= fun t1' =>
- coreTypeToWeakType t2 >>= fun t2' =>
- OK (weakCoercion t1' t2' cc).
+(* if this is a (WAppTy (WAppTy ... (WTyCon tc) .. ) .. ), return (tc,[...]) *)
+Fixpoint expectTyConApp (wt:WeakType)(acc:list WeakType) : ???(TyCon * list WeakType) :=
+ match wt with
+ | WTyCon tc => OK (tc,acc)
+ | WAppTy t1 t2 => expectTyConApp t1 (t2::acc)
+ | WTyFunApp tc tys => Error ("expectTyConApp encountered TyFunApp: " +++ toString wt)
+ | _ => Error ("expectTyConApp encountered " +++ toString wt)
+ end.
+
+(* expects to see an EType with a coercion payload *)
+Definition coreExprToWeakCoercion t1 t2 (ce:@CoreExpr CoreVar) : ???WeakCoercion :=
+ match ce with
+ | CoreEType t => (*OK (coreCoercionToWeakCoercion t)*) OK (WCoUnsafe t1 t2)
+ | _ => Error ("coreExprToWeakCoercion got a " +++ toString ce)
+ end.
+
+(* expects to see an EType *)
+Definition coreExprToWeakType (ce:@CoreExpr CoreVar) : ???WeakType :=
+ match ce with
+ | CoreEType t => coreTypeToWeakType t
+ | _ => Error ("coreExprToWeakType got a " +++ toString ce)
+ end.
Fixpoint coreExprToWeakExpr (ce:@CoreExpr CoreVar) : ???WeakExpr :=
match ce with
| CoreELit lit => OK (WELit lit)
| CoreENote n e => coreExprToWeakExpr e >>= fun e' => OK (WENote n e')
| CoreEType t => Error "encountered CoreEType in a position where an Expr should have been"
+ | CoreECoercion co => Error "encountered CoreECoercion in a position where an Expr should have been"
| CoreECast e co => coreExprToWeakExpr e >>= fun e' =>
- coreCoercionToWeakCoercion co >>= fun co' =>
- OK (WECast e' co')
+ let (ct1,ct2) := coercionKind co
+ in coreTypeToWeakType ct1 >>= fun t1 =>
+ coreTypeToWeakType ct2 >>= fun t2 =>
+ OK (WECast e' (WCoUnsafe t1 t2))
- | CoreEVar v => match coreVarToWeakVar v with
+ | CoreEVar v => coreVarToWeakVar' v >>= fun v' => match v' with
| WExprVar ev => OK (WEVar ev)
| WTypeVar _ => Error "found a type variable inside an EVar!"
| WCoerVar _ => Error "found a coercion variable inside an EVar!"
end
| CoreEApp e1 e2 => match isBrak e1 with
- | Some (tv,t) =>
+ | Some (v,tv,t) =>
coreExprToWeakExpr e2 >>= fun e' =>
coreTypeToWeakType t >>= fun t' =>
- OK (WEBrak tv e' t')
+ OK (WEBrak v tv e' t')
| None => match isEsc e1 with
- | Some (tv,t) =>
+ | Some (v,tv,t) =>
coreExprToWeakExpr e2 >>= fun e' =>
coreTypeToWeakType t >>= fun t' =>
- OK (WEEsc tv e' t')
- | None => coreExprToWeakExpr e1 >>= fun e1' =>
- match e2 with
- | CoreEType t =>
- coreTypeToWeakType t >>= fun t' =>
- OK (WETyApp e1' t')
- | _ => coreExprToWeakExpr e2 >>= fun e2' => OK (WEApp e1' e2')
- end
+ OK (WEEsc v tv e' t')
+ | None => match isCSP e1 with
+ | Some (v,tv,t) =>
+ coreExprToWeakExpr e2 >>= fun e' =>
+ coreTypeToWeakType t >>= fun t' =>
+ OK (WECSP v tv e' t')
+ | None => coreExprToWeakExpr e1 >>= fun e1' =>
+ match e2 with
+ | CoreEType t =>
+ coreTypeToWeakType t >>= fun t' =>
+ OK (WETyApp e1' t')
+ | _ => coreExprToWeakExpr e2
+ >>= fun e2' => OK (WEApp e1' e2')
+ end
+ end
end
end
- | CoreELam v e => match coreVarToWeakVar v with
+ | CoreELam v e => coreVarToWeakVar' v >>= fun v' => match v' with
| WExprVar ev => coreExprToWeakExpr e >>= fun e' => OK (WELam ev e')
| WTypeVar tv => coreExprToWeakExpr e >>= fun e' => OK (WETyLam tv e')
| WCoerVar cv => coreExprToWeakExpr e >>= fun e' => OK (WECoLam cv e')
end
- | CoreELet (CoreNonRec v ve) e => match coreVarToWeakVar v with
+ | CoreELet (CoreNonRec v ve) e => coreVarToWeakVar' v >>= fun v' => match v' with
| WExprVar ev => coreExprToWeakExpr ve >>= fun ve' =>
coreExprToWeakExpr e >>= fun e' => OK (WELet ev ve' e')
- | WTypeVar _ => match e with
- | CoreEType t => Error "saw a type-let"
+ | WTypeVar tv => match e with
+ | CoreEType t => coreExprToWeakExpr e >>= fun e' =>
+ coreExprToWeakType ve >>= fun ty' =>
+ OK (WETyApp (WETyLam tv e') ty')
| _ => Error "saw (ELet <tyvar> e) where e!=EType"
end
- | WCoerVar _ => Error "saw an (ELet <coercionVar>)"
+ | WCoerVar (weakCoerVar cv t1 t2) =>
+ coreExprToWeakExpr e >>= fun e' =>
+ coreExprToWeakCoercion t1 t2 ve >>= fun co' =>
+ OK (WECoApp (WECoLam (weakCoerVar cv t1 t2) e') co')
end
| CoreELet (CoreRec rb) e =>
match cel with
| nil => OK nil
| (v',e')::t => coreExprToWeakExprList t >>= fun t' =>
- match coreVarToWeakVar v' with
+ coreVarToWeakVar' v' >>= fun v'' => match v'' with
| WExprVar ev => coreExprToWeakExpr e' >>= fun e' => OK ((ev,e')::t')
| WTypeVar _ => Error "found a type variable in a recursive let"
| WCoerVar _ => Error "found a coercion variable in a recursive let"
OK (WELetRec (unleaves' rb') e')
| CoreECase e v tbranches alts =>
- match coreVarToWeakVar v with
+ coreVarToWeakVar' v >>= fun v' => match v' with
| WTypeVar _ => Error "found a type variable in a case"
| WCoerVar _ => Error "found a coercion variable in a case"
| WExprVar ev =>
- coreExprToWeakExpr e >>= fun e' =>
- weakTypeOfWeakExpr e' >>= fun te' =>
- (match isTyConApp te' nil with None => Error "expectTyConApp encountered strange type" | Some x => OK x end)
- >>= fun tca =>
- let (tc,lt) := tca in
- ((fix mkBranches (branches: list (@triple AltCon (list CoreVar) (@CoreExpr CoreVar)))
- : ???(list (AltCon*list WeakTypeVar*list WeakCoerVar*list WeakExprVar*WeakExpr)) :=
+ coreTypeToWeakType (coreTypeOfCoreExpr e) >>= fun te' =>
+ expectTyConApp te' nil >>= fun tca =>
+ let (tc,lt) := tca:(TyCon * list WeakType) in
+ ((fix mkBranches (branches: list (@triple CoreAltCon (list CoreVar) (@CoreExpr CoreVar)))
+ : ???(list (WeakAltCon*list WeakTypeVar*list WeakCoerVar*list WeakExprVar*WeakExpr)) :=
match branches with
| nil => OK nil
| (mkTriple alt vars e)::rest =>
mkBranches rest >>= fun rest' =>
coreExprToWeakExpr e >>= fun e' =>
match alt with
- | DEFAULT => OK ((DEFAULT,nil,nil,nil,e')::rest')
- | LitAlt lit => OK ((LitAlt lit,nil,nil,nil,e')::rest')
- | DataAlt dc => let vars := map coreVarToWeakVar vars in
- OK (((DataAlt dc),
- (General.filter (map (fun x => match x with WTypeVar v => Some v | _ => None end) vars)),
- (General.filter (map (fun x => match x with WCoerVar v => Some v | _ => None end) vars)),
- (General.filter (map (fun x => match x with WExprVar v => Some v | _ => None end) vars)),
+ | DEFAULT => OK ((WeakDEFAULT,nil,nil,nil,e')::rest')
+ | LitAlt lit => OK ((WeakLitAlt lit,nil,nil,nil,e')::rest')
+ | DataAlt dc => let vars := map coreVarToWeakVar' vars in
+ OK (((WeakDataAlt dc),
+ (filter (map (fun x => match x with OK (WTypeVar v) => Some v | _ => None end) vars)),
+ (filter (map (fun x => match x with OK (WCoerVar v) => Some v | _ => None end) vars)),
+ (filter (map (fun x => match x with OK (WExprVar v) => Some v | _ => None end) vars)),
e')::rest')
end
end) alts)
>>= fun branches =>
coreExprToWeakExpr e >>= fun scrutinee =>
coreTypeToWeakType tbranches >>= fun tbranches' =>
- OK (WELet ev scrutinee (WECase (WEVar ev) tbranches' tc lt (unleaves branches)))
+ OK (WECase ev scrutinee tbranches' tc lt (unleaves branches))
end
end.
-
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