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 Axiom fail : forall {A}, string -> A.
62 Extract Inlined Constant fail => "Prelude.error".
65 Context (ce:@CoreExpr CoreVar).
67 Definition Γ : TypeEnv := nil.
69 Definition Δ : CoercionEnv Γ := nil.
71 Definition φ : TyVarResolver Γ :=
72 fun cv => (fun TV env => fail "unbound tyvar").
73 (*fun tv => error ("tried to get the representative of an unbound tyvar:" +++ (getCoreVarOccString tv)).*)
75 Definition ψ : CoreVar->HaskCoVar nil Δ
76 := fun cv => fail ("tried to get the representative of an unbound covar!" (*+++ (getTypeVarOccString cv)*)).
78 (* We need to be able to resolve unbound exprvars, but we can be sure their types will have no
79 * free tyvars in them *)
80 Definition ξ (wev:WeakExprVar) : LeveledHaskType Γ ★ :=
81 match weakTypeToType' φ wev ★ with
82 | Error s => fail ("Error in top-level xi: " +++ s)
86 Definition header : string :=
87 "\documentclass[9pt]{article}"+++eol+++
88 "\usepackage{amsmath}"+++eol+++
89 "\usepackage{amssymb}"+++eol+++
90 "\usepackage{proof}"+++eol+++
91 "\usepackage{mathpartir}"+++eol+++
92 "\usepackage{trfrac}"+++eol+++
93 "\def\code#1#2{\Box_{#1} #2}"+++eol+++
94 "\usepackage[paperwidth=20in,centering]{geometry}"+++eol+++
95 "\usepackage[displaymath,tightpage,active]{preview}"+++eol+++
96 "\begin{document}"+++eol+++
97 "\begin{preview}"+++eol.
99 Definition footer : string :=
100 eol+++"\end{preview}"+++
101 eol+++"\end{document}"+++
104 Definition handleExpr (ce:@CoreExpr CoreVar) : string :=
105 match coreExprToWeakExpr ce with
106 | Error s => fail ("unable to convert GHC Core expression into Coq HaskWeak expression due to:\n "+++s)
107 | OK we => match weakTypeOfWeakExpr we >>= fun t => weakTypeToType φ t with
108 | Error s => fail ("unable to calculate HaskType of a HaskWeak expression because: " +++ s)
109 | OK τ => match τ with
110 | haskTypeOfSomeKind ★ τ' =>
111 match weakExprToStrongExpr Γ Δ φ ψ ξ τ' nil (*(makeClosedExpression*) we (* ) *) with
112 | Error s => fail ("unable to convert HaskWeak to HaskStrong due to:\n "+++s)
113 | OK e' => eol+++"$$"+++ nd_ml_toLatex (@expr2proof _ _ _ _ _ _ e')+++"$$"+++eol
115 | haskTypeOfSomeKind κ τ' =>
116 fail ("encountered 'expression' of kind "+++κ+++" at top level (type "+++τ'
117 +++"); shouldn't happen")
122 Definition handleBind (bind:@CoreBind CoreVar) : string :=
124 | CoreNonRec _ e => handleExpr e
125 | CoreRec lbe => fold_left (fun x y => x+++eol+++eol+++y) (map (fun x => handleExpr (snd x)) lbe) ""
128 Definition coqPassCoreToString (lbinds:list (@CoreBind CoreVar)) : string :=
130 (fold_left (fun x y => x+++eol+++eol+++y) (map handleBind lbinds) "")
133 Definition coqPassCoreToCore (lbinds:list (@CoreBind CoreVar)) : list (@CoreBind CoreVar) :=
138 Extraction "Extraction.hs" coqPassCoreToString coqPassCoreToCore.