1 (* need this or the Haskell extraction fails *)
2 Set Printing Width 1300000.
4 Require Import Coq.Lists.List.
5 Require Import Coq.Strings.Ascii.
6 Require Import Coq.Strings.String.
8 Require Import Preamble.
9 Require Import General.
11 Require Import NaturalDeduction.
12 Require Import NaturalDeductionToLatex.
14 Require Import HaskKinds.
15 Require Import HaskLiteralsAndTyCons.
16 Require Import HaskCoreVars.
17 Require Import HaskCoreTypes.
18 Require Import HaskCore.
19 Require Import HaskWeakVars.
20 Require Import HaskWeakTypes.
21 Require Import HaskWeak.
22 Require Import HaskStrongTypes.
23 Require Import HaskStrong.
24 Require Import HaskProof.
25 Require Import HaskCoreToWeak.
26 Require Import HaskWeakToStrong.
27 Require Import HaskStrongToProof.
28 Require Import HaskProofToStrong.
29 Require Import HaskProofToLatex.
30 Require Import HaskStrongToWeak.
31 Require Import HaskWeakToCore.
33 Open Scope string_scope.
34 Extraction Language Haskell.
36 (* I try to reuse Haskell types mostly to get the "deriving Show" aspect *)
37 Extract Inductive option => "Prelude.Maybe" [ "Prelude.Just" "Prelude.Nothing" ].
38 Extract Inductive list => "([])" [ "([])" "(:)" ].
39 (*Extract Inductive vec => "([])" [ "([])" "(:)" ].*)
40 (*Extract Inductive Tree => "([])" [ "([])" "(:)" ].*)
41 Extract Inlined Constant map => "Prelude.map".
42 Extract Inductive string => "Prelude.String" [ "([])" "(:)" ].
43 Extract Inductive prod => "(,)" [ "(,)" ].
44 Extract Inductive sum => "Prelude.Either" [ "Prelude.Left" "Prelude.Right" ].
45 Extract Inductive sumbool => "Prelude.Bool" [ "Prelude.True" "Prelude.False" ].
46 Extract Inductive bool => "Prelude.Bool" [ "Prelude.True" "Prelude.False" ].
47 Extract Inductive unit => "()" [ "()" ].
48 Extract Inlined Constant string_dec => "(==)".
49 Extract Inlined Constant ascii_dec => "(==)".
50 Extract Inductive string => "Prelude.String" [ "[]" "(:)" ].
52 (* adapted from ExtrOcamlString.v *)
53 Extract Inductive ascii => "Prelude.Char" [ "bin2ascii" ] "bin2ascii'".
54 Extract Constant zero => "'\000'".
55 Extract Constant one => "'\001'".
56 Extract Constant shift => "shiftAscii".
58 Unset Extraction Optimize.
59 Unset Extraction AutoInline.
62 Context (ce:@CoreExpr CoreVar).
64 Definition Γ : TypeEnv := nil.
66 Definition Δ : CoercionEnv Γ := nil.
68 Definition φ : TyVarResolver Γ :=
69 fun cv => Error ("unbound tyvar: " +++ (cv:CoreVar)).
70 (*fun tv => error ("tried to get the representative of an unbound tyvar:" +++ (getCoreVarOccString tv)).*)
72 Definition ψ : CoVarResolver Γ Δ :=
73 fun cv => Error ("tried to get the representative of an unbound covar!" (*+++ (getTypeVarOccString cv)*)).
75 (* We need to be able to resolve unbound exprvars, but we can be sure their types will have no
76 * free tyvars in them *)
77 Definition ξ (cv:CoreVar) : LeveledHaskType Γ ★ :=
78 match coreVarToWeakVar cv with
79 | WExprVar wev => match weakTypeToTypeOfKind φ wev ★ with
80 | Error s => Prelude_error ("Error in top-level xi: " +++ s)
83 | WTypeVar _ => Prelude_error "top-level xi got a type variable"
84 | WCoerVar _ => Prelude_error "top-level xi got a coercion variable"
87 Definition header : string :=
88 "\documentclass[9pt]{article}"+++eol+++
89 "\usepackage{amsmath}"+++eol+++
90 "\usepackage{amssymb}"+++eol+++
91 "\usepackage{proof}"+++eol+++
92 "\usepackage{mathpartir} % http://cristal.inria.fr/~remy/latex/"+++eol+++
93 "\usepackage{trfrac} % http://www.utdallas.edu/~hamlen/trfrac.sty"+++eol+++
94 "\def\code#1#2{\Box_{#1} #2}"+++eol+++
95 "\usepackage[paperwidth=200in,centering]{geometry}"+++eol+++
96 "\usepackage[displaymath,tightpage,active]{preview}"+++eol+++
97 "\begin{document}"+++eol+++
98 "\begin{preview}"+++eol.
100 Definition footer : string :=
101 eol+++"\end{preview}"+++
102 eol+++"\end{document}"+++
105 Definition handleExpr' (ce:@CoreExpr CoreVar) : ???string :=
106 addErrorMessage ("input CoreSyn: " +++ ce)
107 (addErrorMessage ("input CoreType: " +++ coreTypeOfCoreExpr ce) (
108 coreExprToWeakExpr ce >>= fun we =>
109 addErrorMessage ("WeakExpr: " +++ we)
110 ((addErrorMessage ("CoreType of WeakExpr: " +++ coreTypeOfCoreExpr (weakExprToCoreExpr we))
111 ((weakTypeOfWeakExpr we) >>= fun t =>
112 (addErrorMessage ("WeakType: " +++ t)
113 ((weakTypeToTypeOfKind φ t ★) >>= fun τ =>
114 addErrorMessage ("HaskType: " +++ τ)
115 ((weakExprToStrongExpr Γ Δ φ ψ ξ τ nil we) >>= fun e =>
116 OK (eol+++"$$"+++ nd_ml_toLatex (@expr2proof _ _ _ _ _ _ e)+++"$$"+++eol)
119 Definition handleExpr (ce:@CoreExpr CoreVar) : string :=
120 match handleExpr' ce with
122 | Error s => Prelude_error s
125 Definition handleBind (bind:@CoreBind CoreVar) : string :=
127 | CoreNonRec _ e => handleExpr e
128 | CoreRec lbe => fold_left (fun x y => x+++eol+++eol+++y) (map (fun x => handleExpr (snd x)) lbe) ""
131 Definition coqPassCoreToString (lbinds:list (@CoreBind CoreVar)) : string :=
133 (fold_left (fun x y => x+++eol+++eol+++y) (map handleBind lbinds) "")
136 Definition coqPassCoreToCore (lbinds:list (@CoreBind CoreVar)) : list (@CoreBind CoreVar) :=
141 Extraction "Extraction.hs" coqPassCoreToString coqPassCoreToCore.