+(*********************************************************************************************************************************)
+(* ExtractionMain: just the "Extract" command *)
+(*********************************************************************************************************************************)
+
(* need this or the Haskell extraction fails *)
Set Printing Width 1300000.
+Require Import ExtractionMain.
-Require Import Coq.Strings.Ascii.
-Require Import Coq.Strings.String.
-Require Import Coq.Lists.List.
-
-Require Import Preamble.
-Require Import General.
-
-Require Import NaturalDeduction.
-Require Import NaturalDeductionToLatex.
-
-Require Import HaskKinds.
-Require Import HaskLiteralsAndTyCons.
-Require Import HaskCoreVars.
-Require Import HaskCoreTypes.
-Require Import HaskCore.
-Require Import HaskWeakVars.
-Require Import HaskWeakTypes.
-Require Import HaskWeak.
-Require Import HaskStrongTypes.
-Require Import HaskStrong.
-Require Import HaskProof.
-Require Import HaskCoreToWeak.
-Require Import HaskWeakToStrong.
-Require Import HaskStrongToProof.
-Require Import HaskProofToStrong.
-Require Import HaskProofToLatex.
-Require Import HaskStrongToWeak.
-Require Import HaskWeakToCore.
-
-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 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 bool => "Prelude.Bool" [ "Prelude.True" "Prelude.False" ].
-Extract Inductive unit => "()" [ "()" ].
-Extract Inlined Constant string_dec => "(==)".
-Extract Inlined Constant ascii_dec => "(==)".
-
-(* adapted from ExtrOcamlString.v *)
-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 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 Γ : TypeEnv := nil.
-
- Definition Δ : CoercionEnv Γ := nil.
-
- Definition φ : TyVarResolver Γ :=
- fun cv => Error ("unbound tyvar: " +++ (cv:CoreVar)).
- (*fun tv => error ("tried to get the representative of an unbound tyvar:" +++ (getCoreVarOccString tv)).*)
-
- 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 weakTypeToTypeOfKind φ wev ★ with
- | Error s => Prelude_error ("Error in top-level xi: " +++ s)
- | OK t => t @@ nil
- end
- | WTypeVar _ => Prelude_error "top-level xi got a type variable"
- | 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} % 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=200in,centering]{geometry}"+++eol+++
- "\usepackage[displaymath,tightpage,active]{preview}"+++eol+++
- "\begin{document}"+++eol+++
- "\begin{preview}"+++eol.
-
- Definition footer : string :=
- eol+++"\end{preview}"+++
- eol+++"\end{document}"+++
- eol.
-
-
- 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 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 coreToStringBind lbinds) "")
- +++ footer.
-
-
- (* 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 = ★).
- admit.
- 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