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 HaskCoreLiterals.
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.
61 Variable Prelude_error : forall {A}, string -> A. Extract Inlined Constant Prelude_error => "Prelude.error".
64 Context (ce:@CoreExpr CoreVar).
66 Definition Γ : TypeEnv := nil.
68 Definition Δ : CoercionEnv Γ := nil.
70 Definition φ : TyVarResolver Γ :=
71 fun cv => Error ("unbound tyvar: " +++ (cv:CoreVar)).
72 (*fun tv => error ("tried to get the representative of an unbound tyvar:" +++ (getCoreVarOccString tv)).*)
74 Definition ψ : CoVarResolver Γ Δ :=
75 fun cv => Error ("tried to get the representative of an unbound covar!" (*+++ (getTypeVarOccString cv)*)).
77 (* We need to be able to resolve unbound exprvars, but we can be sure their types will have no
78 * free tyvars in them *)
79 Definition ξ (cv:CoreVar) : LeveledHaskType Γ ★ :=
80 match coreVarToWeakVar cv with
81 | WExprVar wev => match weakTypeToType'' φ wev ★ with
82 | Error s => Prelude_error ("Error in top-level xi: " +++ s)
85 | WTypeVar _ => Prelude_error "top-level xi got a type variable"
86 | WCoerVar _ => Prelude_error "top-level xi got a coercion variable"
89 Definition header : string :=
90 "\documentclass[9pt]{article}"+++eol+++
91 "\usepackage{amsmath}"+++eol+++
92 "\usepackage{amssymb}"+++eol+++
93 "\usepackage{proof}"+++eol+++
94 "\usepackage{mathpartir}"+++eol+++
95 "\usepackage{trfrac}"+++eol+++
96 "\def\code#1#2{\Box_{#1} #2}"+++eol+++
97 "\usepackage[paperwidth=20in,centering]{geometry}"+++eol+++
98 "\usepackage[displaymath,tightpage,active]{preview}"+++eol+++
99 "\begin{document}"+++eol+++
100 "\begin{preview}"+++eol.
102 Definition footer : string :=
103 eol+++"\end{preview}"+++
104 eol+++"\end{document}"+++
107 Definition handleExpr' (ce:@CoreExpr CoreVar) : ???string :=
108 addErrorMessage ("input CoreSyn: " +++ ce)
109 (addErrorMessage ("input CoreType: " +++ coreTypeOfCoreExpr ce) (
110 coreExprToWeakExpr ce >>= fun we =>
111 addErrorMessage ("WeakExpr: " +++ we)
112 ((addErrorMessage ("CoreType of WeakExpr: " +++ coreTypeOfCoreExpr (weakExprToCoreExpr we))
113 ((weakTypeOfWeakExpr we) >>= fun t =>
114 (addErrorMessage ("WeakType: " +++ t)
115 ((weakTypeToType'' φ t ★) >>= fun τ =>
116 addErrorMessage ("HaskType: " +++ τ)
117 ((weakExprToStrongExpr Γ Δ φ ψ ξ τ nil we) >>= fun e =>
118 OK (eol+++"$$"+++ nd_ml_toLatex (@expr2proof _ _ _ _ _ _ e)+++"$$"+++eol)
121 Definition handleExpr (ce:@CoreExpr CoreVar) : string :=
122 match handleExpr' ce with
124 | Error s => Prelude_error s
127 Definition handleBind (bind:@CoreBind CoreVar) : string :=
129 | CoreNonRec _ e => handleExpr e
130 | CoreRec lbe => fold_left (fun x y => x+++eol+++eol+++y) (map (fun x => handleExpr (snd x)) lbe) ""
133 Definition coqPassCoreToString (lbinds:list (@CoreBind CoreVar)) : string :=
135 (fold_left (fun x y => x+++eol+++eol+++y) (map handleBind lbinds) "")
138 Definition coqPassCoreToCore (lbinds:list (@CoreBind CoreVar)) : list (@CoreBind CoreVar) :=
143 Extraction "Extraction.hs" coqPassCoreToString coqPassCoreToCore.