(* need this or the Haskell extraction fails *)
Set Printing Width 1300000.
-Require Import Coq.Lists.List.
Require Import Coq.Strings.Ascii.
Require Import Coq.Strings.String.
+Require Import Coq.Lists.List.
Require Import Preamble.
Require Import General.
Require Import NaturalDeductionToLatex.
Require Import HaskKinds.
-Require Import HaskCoreLiterals.
+Require Import HaskLiteralsAndTyCons.
Require Import HaskCoreVars.
Require Import HaskCoreTypes.
Require Import HaskCore.
Open Scope string_scope.
Extraction Language Haskell.
+(*Extract Inductive vec => "([])" [ "([])" "(:)" ].*)
+(*Extract Inductive Tree => "([])" [ "([])" "(:)" ].*)
+(*Extract Inlined Constant map => "Prelude.map".*)
+
(* I try to reuse Haskell types mostly to get the "deriving Show" aspect *)
Extract Inductive option => "Prelude.Maybe" [ "Prelude.Just" "Prelude.Nothing" ].
Extract Inductive list => "([])" [ "([])" "(:)" ].
-(*Extract Inductive vec => "([])" [ "([])" "(:)" ].*)
-(*Extract Inductive Tree => "([])" [ "([])" "(:)" ].*)
-Extract Inlined Constant map => "Prelude.map".
-Extract Inductive string => "Prelude.String" [ "([])" "(:)" ].
+Extract Inductive string => "Prelude.String" [ "[]" "(:)" ].
Extract Inductive prod => "(,)" [ "(,)" ].
Extract Inductive sum => "Prelude.Either" [ "Prelude.Left" "Prelude.Right" ].
Extract Inductive sumbool => "Prelude.Bool" [ "Prelude.True" "Prelude.False" ].
Extract Inductive unit => "()" [ "()" ].
Extract Inlined Constant string_dec => "(==)".
Extract Inlined Constant ascii_dec => "(==)".
-Extract Inductive string => "Prelude.String" [ "[]" "(:)" ].
(* adapted from ExtrOcamlString.v *)
-Extract Inductive ascii => "Prelude.Char" [ "bin2ascii" ] "bin2ascii'".
+Extract Inductive ascii => "Char" [ "bin2ascii" ] "bin2ascii'".
Extract Constant zero => "'\000'".
Extract Constant one => "'\001'".
Extract Constant shift => "shiftAscii".
Unset Extraction Optimize.
Unset Extraction AutoInline.
-Variable Prelude_error : forall {A}, string -> A. Extract Inlined Constant Prelude_error => "Prelude.error".
+Variable Name : Type. Extract Inlined Constant Name => "Name.Name".
+Variable mkSystemName : Unique -> string -> nat -> Name.
+ Extract Inlined Constant mkSystemName =>
+ "(\u s d -> Name.mkSystemName u (OccName.mkOccName (OccName.varNameDepth (nat2int d)) s))".
+Variable mkTyVar : Name -> Kind -> CoreVar.
+ Extract Inlined Constant mkTyVar => "(\n k -> Var.mkTyVar n (kindToCoreKind k))".
+Variable mkCoVar : Name -> CoreType -> CoreType -> CoreVar.
+ Extract Inlined Constant mkCoVar => "(\n t1 t2 -> Var.mkCoVar n (Coercion.mkCoKind t1 t2))".
+Variable mkExVar : Name -> CoreType -> CoreVar.
+ Extract Inlined Constant mkExVar => "Id.mkLocalId".
Section core2proof.
Context (ce:@CoreExpr CoreVar).
Definition Δ : CoercionEnv Γ := nil.
Definition φ : TyVarResolver Γ :=
- fun cv => (fun TV env => Prelude_error "unbound tyvar").
+ fun cv => Error ("unbound tyvar: " +++ (cv:CoreVar)).
(*fun tv => error ("tried to get the representative of an unbound tyvar:" +++ (getCoreVarOccString tv)).*)
- Definition ψ : CoreVar->HaskCoVar nil Δ
- := fun cv => Prelude_error ("tried to get the representative of an unbound covar!" (*+++ (getTypeVarOccString cv)*)).
+ Definition ψ : CoVarResolver Γ Δ :=
+ fun cv => Error ("tried to get the representative of an unbound covar!" (*+++ (getTypeVarOccString cv)*)).
(* We need to be able to resolve unbound exprvars, but we can be sure their types will have no
* free tyvars in them *)
Definition ξ (cv:CoreVar) : LeveledHaskType Γ ★ :=
match coreVarToWeakVar cv with
- | WExprVar wev => match weakTypeToType' φ wev ★ with
+ | WExprVar wev => match weakTypeToTypeOfKind φ wev ★ with
| Error s => Prelude_error ("Error in top-level xi: " +++ s)
| OK t => t @@ nil
end
| WCoerVar _ => Prelude_error "top-level xi got a coercion variable"
end.
+
+ (* core-to-string (-dcoqpass) *)
+
Definition header : string :=
"\documentclass[9pt]{article}"+++eol+++
"\usepackage{amsmath}"+++eol+++
"\usepackage{amssymb}"+++eol+++
"\usepackage{proof}"+++eol+++
- "\usepackage{mathpartir}"+++eol+++
- "\usepackage{trfrac}"+++eol+++
+ "\usepackage{mathpartir} % http://cristal.inria.fr/~remy/latex/"+++eol+++
+ "\usepackage{trfrac} % http://www.utdallas.edu/~hamlen/trfrac.sty"+++eol+++
"\def\code#1#2{\Box_{#1} #2}"+++eol+++
- "\usepackage[paperwidth=20in,centering]{geometry}"+++eol+++
+ "\usepackage[paperwidth=200in,centering]{geometry}"+++eol+++
"\usepackage[displaymath,tightpage,active]{preview}"+++eol+++
"\begin{document}"+++eol+++
"\begin{preview}"+++eol.
eol+++"\end{document}"+++
eol.
- Definition handleExpr (ce:@CoreExpr CoreVar) : string :=
- match coreExprToWeakExpr ce with
- | Error s => Prelude_error ("unable to convert GHC Core expression into Coq HaskWeak expression due to:\n "+++s)
- | OK we => match weakTypeOfWeakExpr we >>= fun t => weakTypeToType φ t with
- | Error s => Prelude_error ("unable to calculate HaskType of a HaskWeak expression because: " +++ s)
- | OK τ => match τ with
- | haskTypeOfSomeKind ★ τ' =>
- match weakExprToStrongExpr Γ Δ φ ψ ξ τ' nil (*(makeClosedExpression*) we (* ) *) with
- | Error s => Prelude_error ("unable to convert HaskWeak to HaskStrong due to:\n "+++s)
- | OK e' => eol+++"$$"+++ nd_ml_toLatex (@expr2proof _ _ _ _ _ _ e')+++"$$"+++eol
- end
- | haskTypeOfSomeKind κ τ' =>
- Prelude_error ("encountered 'expression' of kind "+++κ+++" at top level (type "+++τ'
- +++"); shouldn't happen")
- end
- end
+
+ Definition coreToStringExpr' (ce:@CoreExpr CoreVar) : ???string :=
+ addErrorMessage ("input CoreSyn: " +++ ce)
+ (addErrorMessage ("input CoreType: " +++ coreTypeOfCoreExpr ce) (
+ coreExprToWeakExpr ce >>= fun we =>
+ addErrorMessage ("WeakExpr: " +++ we)
+ ((addErrorMessage ("CoreType of WeakExpr: " +++ coreTypeOfCoreExpr (weakExprToCoreExpr we))
+ ((weakTypeOfWeakExpr we) >>= fun t =>
+ (addErrorMessage ("WeakType: " +++ t)
+ ((weakTypeToTypeOfKind φ t ★) >>= fun τ =>
+ addErrorMessage ("HaskType: " +++ τ)
+ ((weakExprToStrongExpr Γ Δ φ ψ ξ (fun _ => true) τ nil we) >>= fun e =>
+ OK (eol+++"$$"+++ nd_ml_toLatex (@expr2proof _ _ _ _ _ _ e)+++"$$"+++eol)
+ )))))))).
+
+ Definition coreToStringExpr (ce:@CoreExpr CoreVar) : string :=
+ match coreToStringExpr' ce with
+ | OK x => x
+ | Error s => Prelude_error s
end.
- Definition handleBind (bind:@CoreBind CoreVar) : string :=
- match bind with
- | CoreNonRec _ e => handleExpr e
- | CoreRec lbe => fold_left (fun x y => x+++eol+++eol+++y) (map (fun x => handleExpr (snd x)) lbe) ""
+ Definition coreToStringBind (binds:@CoreBind CoreVar) : string :=
+ match binds with
+ | CoreNonRec _ e => coreToStringExpr e
+ | CoreRec lbe => fold_left (fun x y => x+++eol+++eol+++y) (map (fun x => coreToStringExpr (snd x)) lbe) ""
end.
Definition coqPassCoreToString (lbinds:list (@CoreBind CoreVar)) : string :=
header +++
- (fold_left (fun x y => x+++eol+++eol+++y) (map handleBind lbinds) "")
+ (fold_left (fun x y => x+++eol+++eol+++y) (map coreToStringBind lbinds) "")
+++ footer.
- Definition coqPassCoreToCore (lbinds:list (@CoreBind CoreVar)) : list (@CoreBind CoreVar) :=
- lbinds.
-End core2proof.
+ (* core-to-core (-fcoqpass) *)
+ Section CoreToCore.
+
+ Definition mkWeakTypeVar (u:Unique)(k:Kind) : WeakTypeVar :=
+ weakTypeVar (mkTyVar (mkSystemName u "tv" O) k) k.
+ Definition mkWeakCoerVar (u:Unique)(k:Kind)(t1 t2:WeakType) : WeakCoerVar :=
+ weakCoerVar (mkCoVar (mkSystemName u "cv" O) (weakTypeToCoreType t1) (weakTypeToCoreType t2)) k t1 t2.
+ Definition mkWeakExprVar (u:Unique)(t:WeakType) : WeakExprVar :=
+ weakExprVar (mkExVar (mkSystemName u "ev" O) (weakTypeToCoreType t)) t.
+
+ Context (hetmet_brak : WeakExprVar).
+ Context (hetmet_esc : WeakExprVar).
+ Context (uniqueSupply : UniqSupply).
+ Definition useUniqueSupply {T}(ut:UniqM T) : ???T :=
+ match ut with
+ uniqM f =>
+ f uniqueSupply >>= fun x => OK (snd x)
+ end.
+
+ Definition larger : forall ln:list nat, { n:nat & forall n', In n' ln -> gt n n' }.
+ intros.
+ induction ln.
+ exists O.
+ intros.
+ inversion H.
+ destruct IHln as [n pf].
+ exists (plus (S n) a).
+ intros.
+ destruct H.
+ omega.
+ fold (@In _ n' ln) in H.
+ set (pf n' H) as q.
+ omega.
+ Defined.
+
+ Definition FreshNat : @FreshMonad nat.
+ refine {| FMT := fun T => nat -> prod nat T
+ ; FMT_fresh := _
+ |}.
+ Focus 2.
+ intros.
+ refine ((S H),_).
+ set (larger tl) as q.
+ destruct q as [n' pf].
+ exists n'.
+ intros.
+ set (pf _ H0) as qq.
+ omega.
+
+ refine {| returnM := fun a (v:a) => _ |}.
+ intro n. exact (n,v).
+ intros.
+ set (X H) as q.
+ destruct q as [n' v].
+ set (X0 v n') as q'.
+ exact q'.
+ Defined.
+
+ Definition unFresh {T} : @FreshM _ FreshNat T -> T.
+ intros.
+ destruct X.
+ exact O.
+ apply t.
+ Defined.
+
+ Definition env := ★::nil.
+ Definition freshTV : HaskType env ★ := haskTyVarToType (FreshHaskTyVar _).
+ Definition idproof0 : ND Rule [] [env > nil > [] |- [freshTV--->freshTV @@ nil]].
+ eapply nd_comp.
+ eapply nd_comp.
+ eapply nd_rule.
+ apply RVar.
+ eapply nd_rule.
+ eapply (RURule _ _ _ _ (RuCanL _ _)) .
+ eapply nd_rule.
+ eapply RLam.
+ Defined.
+(*
+ Definition TInt : HaskType nil ★.
+ assert (tyConKind' intPrimTyCon = ★).
+ rewrite <- H.
+ unfold HaskType; intros.
+ apply TCon.
+ Defined.
+
+ Definition idproof1 : ND Rule [] [nil > nil > [TInt @@ nil] |- [TInt @@ nil]].
+ apply nd_rule.
+ apply RVar.
+ Defined.
+
+ Definition idtype :=
+ HaskTAll(Γ:=nil) ★ (fun TV ite tv => (TApp (TApp TArrow (TVar tv)) (TVar tv))).
+
+ Definition idproof : ND Rule [] [nil > nil > [] |- [idtype @@ nil]].
+ eapply nd_comp; [ idtac | eapply nd_rule ; eapply RAbsT ].
+ apply idproof0.
+ Defined.
+*)
+(*
+ Definition coreToCoreExpr' (ce:@CoreExpr CoreVar) : ???(@CoreExpr CoreVar) :=
+ addErrorMessage ("input CoreSyn: " +++ ce)
+ (addErrorMessage ("input CoreType: " +++ coreTypeOfCoreExpr ce) (
+ coreExprToWeakExpr ce >>= fun we =>
+ addErrorMessage ("WeakExpr: " +++ we)
+ ((addErrorMessage ("CoreType of WeakExpr: " +++ coreTypeOfCoreExpr (weakExprToCoreExpr we))
+ ((weakTypeOfWeakExpr we) >>= fun t =>
+ (addErrorMessage ("WeakType: " +++ t)
+ ((weakTypeToTypeOfKind φ t ★) >>= fun τ =>
+ addErrorMessage ("HaskType: " +++ τ)
+ ((weakExprToStrongExpr Γ Δ φ ψ ξ (fun _ => true) τ nil we) >>= fun e =>
+ (let haskProof := @expr2proof _ _ _ _ _ _ e
+ in (* insert HaskProof-to-HaskProof manipulations here *)
+ (unFresh (@proof2expr nat _ FreshNat _ _ _ _ (fun _ => Prelude_error "unbound unique") _ haskProof))
+ >>= fun e' => Error (@toString _ (ExprToString _ _ _ _) (projT2 e'))
+(*
+ >>= fun e' =>
+ Prelude_error (@toString _ (@ExprToString nat _ _ _ _ _ _) (projT2 e'))
+ *)
+)
+)))))))).
+(* Error "X").*)
+(*
+ strongExprToWeakExpr hetmet_brak hetmet_esc mkWeakTypeVar mkWeakCoerVar mkWeakExprVar uniqueSupply
+ (projT2 e')
+ INil
+ >>= fun q => Error (toString q)
+ ))))))))).
+*)
+*)
+
+ Definition coreToCoreExpr' (ce:@CoreExpr CoreVar) : ???(@CoreExpr CoreVar) :=
+ addErrorMessage ("input CoreSyn: " +++ ce)
+ (addErrorMessage ("input CoreType: " +++ coreTypeOfCoreExpr ce) (
+ coreExprToWeakExpr ce >>= fun we =>
+ addErrorMessage ("WeakExpr: " +++ we)
+ ((addErrorMessage ("CoreType of WeakExpr: " +++ coreTypeOfCoreExpr (weakExprToCoreExpr we))
+ ((weakTypeOfWeakExpr we) >>= fun t =>
+ (addErrorMessage ("WeakType: " +++ t)
+ ((weakTypeToTypeOfKind φ t ★) >>= fun τ =>
+
+ ((weakExprToStrongExpr Γ Δ φ ψ ξ (fun _ => true) τ nil we) >>= fun e =>
+
+ (addErrorMessage ("HaskStrong...")
+ (let haskProof := @expr2proof _ _ _ _ _ _ e
+ in (* insert HaskProof-to-HaskProof manipulations here *)
+ OK ((@proof2expr nat _ FreshNat _ _ _ _ (fun _ => Prelude_error "unbound unique") _ haskProof) O)
+ >>= fun e' =>
+ (snd e') >>= fun e'' =>
+ strongExprToWeakExpr hetmet_brak hetmet_esc mkWeakTypeVar mkWeakCoerVar mkWeakExprVar uniqueSupply
+ (projT2 e'') INil
+ >>= fun q =>
+ OK (weakExprToCoreExpr q)
+ )))))))))).
+
+ Definition coreToCoreExpr (ce:@CoreExpr CoreVar) : (@CoreExpr CoreVar) :=
+ match coreToCoreExpr' ce with
+ | OK x => x
+ | Error s => Prelude_error s
+ end.
+
+ Definition coreToCoreBind (binds:@CoreBind CoreVar) : @CoreBind CoreVar :=
+ match binds with
+ | CoreNonRec v e => CoreNonRec v (coreToCoreExpr e)
+ | CoreRec lbe => CoreRec (map (fun ve => match ve with (v,e) => (v,coreToCoreExpr e) end) lbe)
+ end.
+
+ Definition coqPassCoreToCore' (lbinds:list (@CoreBind CoreVar)) : list (@CoreBind CoreVar) :=
+ map coreToCoreBind lbinds.
+
+ End CoreToCore.
+
+ Definition coqPassCoreToCore
+ (hetmet_brak : CoreVar)
+ (hetmet_esc : CoreVar)
+ (uniqueSupply : UniqSupply)
+ (lbinds:list (@CoreBind CoreVar)) : list (@CoreBind CoreVar) :=
+ match coreVarToWeakVar hetmet_brak with
+ | WExprVar hetmet_brak' => match coreVarToWeakVar hetmet_esc with
+ | WExprVar hetmet_esc' => coqPassCoreToCore' hetmet_brak' hetmet_esc' uniqueSupply lbinds
+ | _ => Prelude_error "IMPOSSIBLE"
+ end
+ | _ => Prelude_error "IMPOSSIBLE"
+ end.
+
+End core2proof.
+(*Set Extraction Optimize.*)
+(*Set Extraction AutoInline.*)
Extraction "Extraction.hs" coqPassCoreToString coqPassCoreToCore.
projects / coq-hetmet.git / blobdiff