X-Git-Url: http://git.megacz.com/?p=coq-hetmet.git;a=blobdiff_plain;f=src%2FExtraction.v;h=eb13e2b8e9474ba4ba4a70c0d4955980edd31995;hp=82b05434263ca1fb6e754f08f89ea3a1a8e7b616;hb=743099bc348cfa97fb4d94c7e7ae3e53d2717e87;hpb=1405918ae8ff55649f864e6fd02b0c0f74fc6607 diff --git a/src/Extraction.v b/src/Extraction.v index 82b0543..eb13e2b 100644 --- a/src/Extraction.v +++ b/src/Extraction.v @@ -1,351 +1,11 @@ (*********************************************************************************************************************************) -(* Extraction: *) -(* *) -(* This module is the "top level" for extraction *) -(* *) +(* 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 HaskProofToLatex. -Require Import HaskStrongToWeak. -Require Import HaskWeakToCore. -Require Import HaskProofToStrong. - -Require Import HaskProofCategory. -Require Import HaskStrongCategory. -Require Import ReificationsEquivalentToGeneralizedArrows. - -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 = ★). - 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.