Require Import Coq.Lists.List.
Require Import Coq.Init.Specif.
Require Import HaskKinds.
-Require Import HaskCoreLiterals.
+Require Import HaskLiteralsAndTyCons.
Require Import HaskWeakTypes.
Require Import HaskWeakVars.
Require Import HaskWeak.
Require Import HaskWeakToCore.
Require Import HaskStrongTypes.
Require Import HaskStrong.
-Require Import HaskCoreTypes.
Require Import HaskCoreVars.
-Require Import HaskCoreToWeak.
Open Scope string_scope.
Definition TyVarResolver Γ := forall wt:WeakTypeVar, ???(HaskTyVar Γ wt).
Definition weakTypeToType : forall {Γ:TypeEnv}(φ:TyVarResolver Γ)(t:WeakType), ???(HaskTypeOfSomeKind Γ).
refine (fix weakTypeToType {Γ:TypeEnv}(φ:TyVarResolver Γ)(t:WeakType) {struct t} : ???(HaskTypeOfSomeKind Γ) :=
+ addErrorMessage ("weakTypeToType " +++ t)
match t with
| WFunTyCon => let case_WFunTyCon := tt in OK (haskTypeOfSomeKind (fun TV ite => TArrow))
| WTyCon tc => let case_WTyCon := tt in _
end ); clear weakTypeToType.
destruct case_WTyVarTy.
+ apply (addErrorMessage "case_WTyVarTy").
apply OK.
exact (haskTypeOfSomeKind (fun TV env => TVar (v' TV env))).
destruct case_WAppTy.
+ apply (addErrorMessage "case_WAppTy").
destruct t1' as [k1' t1'].
destruct t2' as [k2' t2'].
+ set ("tried to apply type "+++t1'+++" of kind "+++k1'+++" to type "+++t2'+++" of kind "+++k2') as err.
destruct k1';
try (matchThings k1'1 k2' "Kind mismatch in WAppTy: ";
subst; apply OK; apply (haskTypeOfSomeKind (fun TV env => TApp (t1' TV env) (t2' TV env))));
- apply (Error "Kind mismatch in WAppTy:: ").
+ apply (Error ("Kind mismatch in WAppTy: "+++err)).
destruct case_weakTypeListToTypeList.
+ apply (addErrorMessage "case_weakTypeListToTypeList").
destruct t' as [ k' t' ].
matchThings k k' "Kind mismatch in weakTypeListToTypeList".
subst.
apply (OK (fun TV ite => TyFunApp_cons _ _ (t' TV ite) (rhtl' TV ite))).
destruct case_WTyFunApp.
+ apply (addErrorMessage "case_WTyFunApp").
apply OK.
eapply haskTypeOfSomeKind.
unfold HaskType; intros.
apply X.
destruct case_WTyCon.
+ apply (addErrorMessage "case_WTyCon").
apply OK.
eapply haskTypeOfSomeKind.
unfold HaskType; intros.
apply (TCon tc).
destruct case_WCodeTy.
+ apply (addErrorMessage "case_WCodeTy").
destruct tbody'.
matchThings κ ★ "Kind mismatch in WCodeTy: ".
apply OK.
apply X.
destruct case_WCoFunTy.
+ apply (addErrorMessage "case_WCoFunTy").
destruct t1' as [ k1' t1' ].
destruct t2' as [ k2' t2' ].
destruct t3' as [ k3' t3' ].
apply (haskTypeOfSomeKind (t1' ∼∼ t2' ⇒ t3')).
destruct case_WForAllTy.
+ apply (addErrorMessage "case_WForAllTy").
destruct t1.
matchThings ★ κ "Kind mismatch in WForAllTy: ".
subst.
-> WeakType → ???(HaskType (app (vec2list (dataConExKinds dc)) Γ) ★).
intro avars.
intro ct.
+ apply (addErrorMessage "weakTypeToType'").
set (ilmap (@weakT' _ (vec2list (dataConExKinds dc))) avars) as avars'.
set (@substφ _ _ avars') as q.
set (upφ' (tyConTyVars tc) (mkPhi (dataConExTyVars dc))) as φ'.
Definition mkStrongAltCon : @StrongAltCon tc.
refine
- {| sac_altcon := DataAlt dc
+ {| sac_altcon := WeakDataAlt dc
; sac_numCoerVars := length (dataConCoerKinds dc)
; sac_numExprVars := length (dataConFieldTypes dc)
; sac_ekinds := dataConExKinds dc
End StrongAltCon.
-Definition mkStrongAltConPlusJunk' (tc : TyCon)(alt:AltCon) : ???(@StrongAltConPlusJunk tc).
+Definition mkStrongAltConPlusJunk' (tc : TyCon)(alt:WeakAltCon) : ???(@StrongAltConPlusJunk tc).
destruct alt.
set (c:DataCon _) as dc.
set ((dataConTyCon c):TyCon) as tc' in *.
apply OK; refine {| sacpj_sac := {|
sac_ekinds := vec_nil ; sac_coercions := fun _ _ => vec_nil ; sac_types := fun _ _ => vec_nil
- ; sac_altcon := LitAlt h
+ ; sac_altcon := WeakLitAlt h
|} |}.
intro; intro φ; apply φ.
intro; intro; intro; intro ψ. simpl. unfold sac_Γ; simpl. unfold sac_Δ; simpl.
rewrite weakCK'_nil_inert. apply ψ.
apply OK; refine {| sacpj_sac := {|
sac_ekinds := vec_nil ; sac_coercions := fun _ _ => vec_nil ; sac_types := fun _ _ => vec_nil
- ; sac_altcon := DEFAULT |} |}.
+ ; sac_altcon := WeakDEFAULT |} |}.
intro; intro φ; apply φ.
intro; intro; intro; intro ψ. simpl. unfold sac_Γ; simpl. unfold sac_Δ; simpl.
rewrite weakCK'_nil_inert. apply ψ.
Defined.
(* attempt to "cast" an expression by simply checking if it already had the desired type, and failing otherwise *)
-Definition castExpr (err_msg:string) {Γ} {Δ} {ξ} {τ} τ' (e:@Expr _ CoreVarEqDecidable Γ Δ ξ τ)
+Definition castExpr (we:WeakExpr)(err_msg:string) {Γ} {Δ} {ξ} {τ} τ' (e:@Expr _ CoreVarEqDecidable Γ Δ ξ τ)
: ???(@Expr _ CoreVarEqDecidable Γ Δ ξ τ').
+ apply (addErrorMessage ("castExpr " +++ err_msg)).
intros.
destruct τ as [τ l].
destruct τ' as [τ' l'].
- destruct (eqd_dec l l'); [ idtac | apply (Error ("level mismatch in castExpr: "+++err_msg)) ].
- destruct (eqd_dec τ τ'); [ idtac | apply (Error ("type mismatch in castExpr: " +++err_msg+++" "+++τ+++" and "+++τ')) ].
+ destruct (eqd_dec l l'); [ idtac
+ | apply (Error ("level mismatch in castExpr, invoked by "+++err_msg+++eol+++
+ " got: " +++(fold_left (fun x y => y+++","+++y) (map haskTyVarToType l) "")+++eol+++
+ " wanted: "+++(fold_left (fun x y => x+++","+++y) (map haskTyVarToType l') "")
+ )) ].
+ destruct (eqd_dec τ τ'); [ idtac
+ | apply (Error ("type mismatch in castExpr, invoked by "+++err_msg+++eol+++
+ " got: " +++τ+++eol+++
+ " wanted: "+++τ'
+ )) ].
subst.
apply OK.
apply e.
match wcv with weakCoerVar _ κ _ _ => κ end.
Coercion coVarKind : WeakCoerVar >-> Kind.
-Definition weakTypeToType'' : forall {Γ:TypeEnv}(φ:TyVarResolver Γ)(t:WeakType) κ, ???(HaskType Γ κ).
+Definition weakTypeToTypeOfKind : forall {Γ:TypeEnv}(φ:TyVarResolver Γ)(t:WeakType)(κ:Kind), ???(HaskType Γ κ).
intros.
set (weakTypeToType φ t) as wt.
destruct wt; try apply (Error error_message).
destruct h.
- matchThings κ κ0 "Kind mismatch in weakTypeToType'': ".
+ matchThings κ κ0 ("Kind mismatch in weakTypeToTypeOfKind in ").
subst.
apply OK.
apply h.
Fixpoint varsTypes {Γ}(t:Tree ??(WeakExprVar * WeakExpr))(φ:TyVarResolver Γ) : Tree ??(CoreVar * HaskType Γ ★) :=
match t with
| T_Leaf None => []
- | T_Leaf (Some (wev,e)) => match weakTypeToType'' φ wev ★ with
- | Error _ => []
+ | T_Leaf (Some (wev,e)) => match weakTypeToTypeOfKind φ wev ★ with
| OK t' => [((wev:CoreVar),t')]
+ | _ => []
end
| T_Branch b1 b2 => (varsTypes b1 φ),,(varsTypes b2 φ)
end.
-
Fixpoint mkAvars {Γ}(wtl:list WeakType)(lk:list Kind)(φ:TyVarResolver Γ) : ???(IList Kind (HaskType Γ) lk) :=
match lk as LK return ???(IList Kind (HaskType Γ) LK) with
| nil => match wtl with
| k::lk' => match wtl with
| nil => Error "length mismatch in mkAvars"
| wt::wtl' =>
- weakTypeToType'' φ wt k >>= fun t =>
+ weakTypeToTypeOfKind φ wt k >>= fun t =>
mkAvars wtl' lk' φ >>= fun rest =>
OK (ICons _ _ t rest)
end
(τ:HaskType Γ ★)
(lev:HaskLevel Γ)
(we:WeakExpr) : ???(@Expr _ CoreVarEqDecidable Γ Δ ξ (τ @@ lev) ) :=
+ addErrorMessage ("in weakExprToStrongExpr " +++ we)
match we with
- | WEVar v => castExpr ("WEVar "+++(v:CoreVar)) (τ @@ lev) (EVar Γ Δ ξ v)
+ | WEVar v => castExpr we ("WEVar "+++(v:CoreVar)) (τ @@ lev) (EVar Γ Δ ξ v)
- | WELit lit => castExpr ("WELit "+++lit) (τ @@ lev) (ELit Γ Δ ξ lit lev)
+ | WELit lit => castExpr we ("WELit "+++lit) (τ @@ lev) (ELit Γ Δ ξ lit lev)
- | WELam ev ebody => weakTypeToType'' φ ev ★ >>= fun tv =>
+ | WELam ev ebody => weakTypeToTypeOfKind φ ev ★ >>= fun tv =>
weakTypeOfWeakExpr ebody >>= fun tbody =>
- weakTypeToType'' φ tbody ★ >>= fun tbody' =>
+ weakTypeToTypeOfKind φ tbody ★ >>= fun tbody' =>
let ξ' := update_ξ ξ (((ev:CoreVar),tv@@lev)::nil) in
weakExprToStrongExpr Γ Δ φ ψ ξ' tbody' lev ebody >>= fun ebody' =>
- castExpr "WELam" (τ@@lev) (ELam Γ Δ ξ tv tbody' lev ev ebody')
+ castExpr we "WELam" (τ@@lev) (ELam Γ Δ ξ tv tbody' lev ev ebody')
| WEBrak _ ec e tbody => φ (`ec) >>= fun ec' =>
- weakTypeToType'' φ tbody ★ >>= fun tbody' =>
+ weakTypeToTypeOfKind φ tbody ★ >>= fun tbody' =>
weakExprToStrongExpr Γ Δ φ ψ ξ tbody' ((ec')::lev) e >>= fun e' =>
- castExpr "WEBrak" (τ@@lev) (EBrak Γ Δ ξ ec' tbody' lev e')
+ castExpr we "WEBrak" (τ@@lev) (EBrak Γ Δ ξ ec' tbody' lev e')
| WEEsc _ ec e tbody => φ ec >>= fun ec'' =>
- weakTypeToType'' φ tbody ★ >>= fun tbody' =>
+ weakTypeToTypeOfKind φ tbody ★ >>= fun tbody' =>
match lev with
| nil => Error "ill-leveled escapification"
| ec'::lev' => weakExprToStrongExpr Γ Δ φ ψ ξ (<[ ec' |- tbody' ]>) lev' e
- >>= fun e' => castExpr "WEEsc" (τ@@lev) (EEsc Γ Δ ξ ec' tbody' lev' e')
+ >>= fun e' => castExpr we "WEEsc" (τ@@lev) (EEsc Γ Δ ξ ec' tbody' lev' e')
end
+ | WECSP _ ec e tbody => Error "FIXME: CSP not supported beyond HaskWeak stage"
+
| WENote n e => weakExprToStrongExpr Γ Δ φ ψ ξ τ lev e >>= fun e' => OK (ENote _ _ _ _ n e')
- | WELet v ve ebody => weakTypeToType'' φ v ★ >>= fun tv =>
+ | WELet v ve ebody => weakTypeToTypeOfKind φ v ★ >>= fun tv =>
weakExprToStrongExpr Γ Δ φ ψ ξ tv lev ve >>= fun ve' =>
weakExprToStrongExpr Γ Δ φ ψ (update_ξ ξ (((v:CoreVar),tv@@lev)::nil)) τ lev ebody
>>= fun ebody' =>
OK (ELet _ _ _ tv _ lev (v:CoreVar) ve' ebody')
| WEApp e1 e2 => weakTypeOfWeakExpr e2 >>= fun t2 =>
- weakTypeToType'' φ t2 ★ >>= fun t2' =>
+ weakTypeToTypeOfKind φ t2 ★ >>= fun t2' =>
weakExprToStrongExpr Γ Δ φ ψ ξ t2' lev e2 >>= fun e2' =>
weakExprToStrongExpr Γ Δ φ ψ ξ (t2'--->τ) lev e1 >>= fun e1' =>
OK (EApp _ _ _ _ _ _ e1' e2')
| WETyLam tv e => let φ' := upφ tv φ in
weakTypeOfWeakExpr e >>= fun te =>
- weakTypeToType'' φ' te ★ >>= fun τ' =>
+ weakTypeToTypeOfKind φ' te ★ >>= fun τ' =>
weakExprToStrongExpr _ (weakCE Δ) φ'
(fun x => (ψ x) >>= fun y => OK (weakCV y)) (weakLT○ξ) τ' (weakL lev) e
>>= fun e' =>
- castExpr "WETyLam1" _ e' >>= fun e'' =>
- castExpr "WETyLam2" _ (ETyLam Γ Δ ξ tv (mkTAll' τ') lev e'')
+ castExpr we "WETyLam1" _ e' >>= fun e'' =>
+ castExpr we "WETyLam2" _ (ETyLam Γ Δ ξ tv (mkTAll' τ') lev e'')
| WETyApp e t => weakTypeOfWeakExpr e >>= fun te =>
match te with
| WForAllTy wtv te' =>
let φ' := upφ wtv φ in
- weakTypeToType'' φ' te' ★ >>= fun te'' =>
+ weakTypeToTypeOfKind φ' te' ★ >>= fun te'' =>
weakExprToStrongExpr Γ Δ φ ψ ξ (mkTAll te'') lev e >>= fun e' =>
- weakTypeToType'' φ t (wtv:Kind) >>= fun t' =>
- castExpr "WETyApp" _ (ETyApp Γ Δ wtv (mkTAll' te'') t' ξ lev e')
+ weakTypeToTypeOfKind φ t (wtv:Kind) >>= fun t' =>
+ castExpr we "WETyApp" _ (ETyApp Γ Δ wtv (mkTAll' te'') t' ξ lev e')
| _ => Error ("weakTypeToType: WETyApp body with type "+++te)
end
weakTypeToType φ t1 >>= fun t1' =>
match t1' with
haskTypeOfSomeKind κ t1'' =>
- weakTypeToType'' φ t2 κ >>= fun t2'' =>
- weakTypeToType'' φ t3 ★ >>= fun t3'' =>
+ weakTypeToTypeOfKind φ t2 κ >>= fun t2'' =>
+ weakTypeToTypeOfKind φ t3 ★ >>= fun t3'' =>
weakExprToStrongExpr Γ Δ φ ψ ξ (t1'' ∼∼ t2'' ⇒ τ) lev e >>= fun e' =>
- castExpr "WECoApp" _ e' >>= fun e'' =>
+ castExpr we "WECoApp" _ e' >>= fun e'' =>
OK (ECoApp Γ Δ κ t1'' t2''
(weakCoercionToHaskCoercion _ _ _ co) τ ξ lev e'')
end
| WECoLam cv e => let (_,_,t1,t2) := cv in
weakTypeOfWeakExpr e >>= fun te =>
- weakTypeToType'' φ te ★ >>= fun te' =>
- weakTypeToType'' φ t1 cv >>= fun t1' =>
- weakTypeToType'' φ t2 cv >>= fun t2' =>
+ weakTypeToTypeOfKind φ te ★ >>= fun te' =>
+ weakTypeToTypeOfKind φ t1 cv >>= fun t1' =>
+ weakTypeToTypeOfKind φ t2 cv >>= fun t2' =>
weakExprToStrongExpr Γ (_ :: Δ) φ (weakψ ψ) ξ te' lev e >>= fun e' =>
- castExpr "WECoLam" _ (ECoLam Γ Δ cv te' t1' t2' ξ lev e')
+ castExpr we "WECoLam" _ (ECoLam Γ Δ cv te' t1' t2' ξ lev e')
- | WECast e co => let (κ,t1,t2,_) := co in
- weakTypeToType'' φ t1 ★ >>= fun t1' =>
- weakTypeToType'' φ t2 ★ >>= fun t2' =>
+ | WECast e co => let (t1,t2) := weakCoercionTypes co in
+ weakTypeToTypeOfKind φ t1 ★ >>= fun t1' =>
+ weakTypeToTypeOfKind φ t2 ★ >>= fun t2' =>
weakExprToStrongExpr Γ Δ φ ψ ξ t1' lev e >>= fun e' =>
- castExpr "WECast" _
+ castExpr we "WECast" _
(ECast Γ Δ ξ t1' t2' (weakCoercionToHaskCoercion _ _ _ co) lev e')
| WELetRec rb e =>
OK (ELetRec Γ Δ ξ lev τ _ binds' e')
| WECase vscrut ve tbranches tc avars alts =>
- weakTypeToType'' φ (vscrut:WeakType) ★ >>= fun tv =>
+ weakTypeToTypeOfKind φ (vscrut:WeakType) ★ >>= fun tv =>
weakExprToStrongExpr Γ Δ φ ψ ξ tv lev ve >>= fun ve' =>
let ξ' := update_ξ ξ (((vscrut:CoreVar),tv@@lev)::nil) in
mkAvars avars (tyConKind tc) φ >>= fun avars' =>
- weakTypeToType'' φ tbranches ★ >>= fun tbranches' =>
- (fix mkTree (t:Tree ??(AltCon*list WeakTypeVar*list WeakCoerVar*list WeakExprVar*WeakExpr)) : ???(Tree
+ weakTypeToTypeOfKind φ tbranches ★ >>= fun tbranches' =>
+ (fix mkTree (t:Tree ??(WeakAltCon*list WeakTypeVar*list WeakCoerVar*list WeakExprVar*WeakExpr)) : ???(Tree
??{scb : StrongCaseBranchWithVVs CoreVar CoreVarEqDecidable tc avars' &
Expr (sac_Γ scb Γ) (sac_Δ scb Γ avars' (weakCK'' Δ))(scbwv_ξ scb ξ' lev)(weakLT' (tbranches' @@ lev))}) :=
match t with
mkTree b2 >>= fun b2' =>
OK (b1',,b2')
end) alts >>= fun tree =>
- castExpr "ECaseScrut" _ (EVar Γ Δ ξ' vscrut) >>= fun escrut =>
- castExpr "ECase" _ (ECase Γ Δ ξ' lev tc tbranches' avars' escrut tree)
+ castExpr we "ECaseScrut" _ (EVar Γ Δ ξ' vscrut) >>= fun escrut =>
+ castExpr we "ECase" _ (ECase Γ Δ ξ' lev tc tbranches' avars' escrut tree)
>>= fun ecase' => OK (ELet _ _ _ tv _ lev (vscrut:CoreVar) ve' ecase')
end)).
destruct case_some.
+ apply (addErrorMessage "case_some").
simpl.
- destruct (weakTypeToType'' φ wev ★); try apply (Error error_message).
+ destruct (weakTypeToTypeOfKind φ wev ★); try apply (Error error_message).
matchThings h (unlev (ξ' wev)) "LetRec".
destruct wev.
rewrite matchTypeVars_pf.
projects / coq-hetmet.git / blobdiff