adamc@38
|
1 (* Copyright (c) 2008, Adam Chlipala
|
adamc@38
|
2 * All rights reserved.
|
adamc@38
|
3 *
|
adamc@38
|
4 * Redistribution and use in source and binary forms, with or without
|
adamc@38
|
5 * modification, are permitted provided that the following conditions are met:
|
adamc@38
|
6 *
|
adamc@38
|
7 * - Redistributions of source code must retain the above copyright notice,
|
adamc@38
|
8 * this list of conditions and the following disclaimer.
|
adamc@38
|
9 * - Redistributions in binary form must reproduce the above copyright notice,
|
adamc@38
|
10 * this list of conditions and the following disclaimer in the documentation
|
adamc@38
|
11 * and/or other materials provided with the distribution.
|
adamc@38
|
12 * - The names of contributors may not be used to endorse or promote products
|
adamc@38
|
13 * derived from this software without specific prior written permission.
|
adamc@38
|
14 *
|
adamc@38
|
15 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
|
adamc@38
|
16 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
adamc@38
|
17 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
adamc@38
|
18 * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
|
adamc@38
|
19 * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
adamc@38
|
20 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
adamc@38
|
21 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
adamc@38
|
22 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
adamc@38
|
23 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
adamc@38
|
24 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
adamc@38
|
25 * POSSIBILITY OF SUCH DAMAGE.
|
adamc@38
|
26 *)
|
adamc@38
|
27
|
adamc@38
|
28 structure ExplUtil :> EXPL_UTIL = struct
|
adamc@38
|
29
|
adamc@38
|
30 open Expl
|
adamc@38
|
31
|
adamc@38
|
32 structure S = Search
|
adamc@38
|
33
|
adamc@38
|
34 structure Kind = struct
|
adamc@38
|
35
|
adamc@38
|
36 fun mapfold f =
|
adamc@38
|
37 let
|
adamc@38
|
38 fun mfk k acc =
|
adamc@38
|
39 S.bindP (mfk' k acc, f)
|
adamc@38
|
40
|
adamc@38
|
41 and mfk' (kAll as (k, loc)) =
|
adamc@38
|
42 case k of
|
adamc@38
|
43 KType => S.return2 kAll
|
adamc@38
|
44
|
adamc@38
|
45 | KArrow (k1, k2) =>
|
adamc@38
|
46 S.bind2 (mfk k1,
|
adamc@38
|
47 fn k1' =>
|
adamc@38
|
48 S.map2 (mfk k2,
|
adamc@38
|
49 fn k2' =>
|
adamc@38
|
50 (KArrow (k1', k2'), loc)))
|
adamc@38
|
51
|
adamc@38
|
52 | KName => S.return2 kAll
|
adamc@38
|
53
|
adamc@38
|
54 | KRecord k =>
|
adamc@38
|
55 S.map2 (mfk k,
|
adamc@38
|
56 fn k' =>
|
adamc@38
|
57 (KRecord k', loc))
|
adamc@87
|
58
|
adamc@87
|
59 | KUnit => S.return2 kAll
|
adamc@38
|
60 in
|
adamc@38
|
61 mfk
|
adamc@38
|
62 end
|
adamc@38
|
63
|
adamc@38
|
64 fun exists f k =
|
adamc@38
|
65 case mapfold (fn k => fn () =>
|
adamc@38
|
66 if f k then
|
adamc@38
|
67 S.Return ()
|
adamc@38
|
68 else
|
adamc@38
|
69 S.Continue (k, ())) k () of
|
adamc@38
|
70 S.Return _ => true
|
adamc@38
|
71 | S.Continue _ => false
|
adamc@38
|
72
|
adamc@38
|
73 end
|
adamc@38
|
74
|
adamc@38
|
75 structure Con = struct
|
adamc@38
|
76
|
adamc@38
|
77 datatype binder =
|
adamc@38
|
78 Rel of string * Expl.kind
|
adamc@38
|
79 | Named of string * Expl.kind
|
adamc@38
|
80
|
adamc@38
|
81 fun mapfoldB {kind = fk, con = fc, bind} =
|
adamc@38
|
82 let
|
adamc@38
|
83 val mfk = Kind.mapfold fk
|
adamc@38
|
84
|
adamc@38
|
85 fun mfc ctx c acc =
|
adamc@38
|
86 S.bindP (mfc' ctx c acc, fc ctx)
|
adamc@38
|
87
|
adamc@38
|
88 and mfc' ctx (cAll as (c, loc)) =
|
adamc@38
|
89 case c of
|
adamc@38
|
90 TFun (c1, c2) =>
|
adamc@38
|
91 S.bind2 (mfc ctx c1,
|
adamc@38
|
92 fn c1' =>
|
adamc@38
|
93 S.map2 (mfc ctx c2,
|
adamc@38
|
94 fn c2' =>
|
adamc@38
|
95 (TFun (c1', c2'), loc)))
|
adamc@38
|
96 | TCFun (x, k, c) =>
|
adamc@38
|
97 S.bind2 (mfk k,
|
adamc@38
|
98 fn k' =>
|
adamc@38
|
99 S.map2 (mfc (bind (ctx, Rel (x, k))) c,
|
adamc@38
|
100 fn c' =>
|
adamc@38
|
101 (TCFun (x, k', c'), loc)))
|
adamc@38
|
102 | TRecord c =>
|
adamc@38
|
103 S.map2 (mfc ctx c,
|
adamc@38
|
104 fn c' =>
|
adamc@38
|
105 (TRecord c', loc))
|
adamc@38
|
106
|
adamc@38
|
107 | CRel _ => S.return2 cAll
|
adamc@38
|
108 | CNamed _ => S.return2 cAll
|
adamc@38
|
109 | CModProj _ => S.return2 cAll
|
adamc@38
|
110 | CApp (c1, c2) =>
|
adamc@38
|
111 S.bind2 (mfc ctx c1,
|
adamc@38
|
112 fn c1' =>
|
adamc@38
|
113 S.map2 (mfc ctx c2,
|
adamc@38
|
114 fn c2' =>
|
adamc@38
|
115 (CApp (c1', c2'), loc)))
|
adamc@38
|
116 | CAbs (x, k, c) =>
|
adamc@38
|
117 S.bind2 (mfk k,
|
adamc@38
|
118 fn k' =>
|
adamc@38
|
119 S.map2 (mfc (bind (ctx, Rel (x, k))) c,
|
adamc@38
|
120 fn c' =>
|
adamc@38
|
121 (CAbs (x, k', c'), loc)))
|
adamc@38
|
122
|
adamc@38
|
123 | CName _ => S.return2 cAll
|
adamc@38
|
124
|
adamc@38
|
125 | CRecord (k, xcs) =>
|
adamc@38
|
126 S.bind2 (mfk k,
|
adamc@38
|
127 fn k' =>
|
adamc@38
|
128 S.map2 (ListUtil.mapfold (fn (x, c) =>
|
adamc@38
|
129 S.bind2 (mfc ctx x,
|
adamc@38
|
130 fn x' =>
|
adamc@38
|
131 S.map2 (mfc ctx c,
|
adamc@38
|
132 fn c' =>
|
adamc@38
|
133 (x', c'))))
|
adamc@38
|
134 xcs,
|
adamc@38
|
135 fn xcs' =>
|
adamc@38
|
136 (CRecord (k', xcs'), loc)))
|
adamc@38
|
137 | CConcat (c1, c2) =>
|
adamc@38
|
138 S.bind2 (mfc ctx c1,
|
adamc@38
|
139 fn c1' =>
|
adamc@38
|
140 S.map2 (mfc ctx c2,
|
adamc@38
|
141 fn c2' =>
|
adamc@38
|
142 (CConcat (c1', c2'), loc)))
|
adamc@68
|
143 | CFold (k1, k2) =>
|
adamc@68
|
144 S.bind2 (mfk k1,
|
adamc@68
|
145 fn k1' =>
|
adamc@68
|
146 S.map2 (mfk k2,
|
adamc@68
|
147 fn k2' =>
|
adamc@68
|
148 (CFold (k1', k2'), loc)))
|
adamc@87
|
149
|
adamc@87
|
150 | CUnit => S.return2 cAll
|
adamc@38
|
151 in
|
adamc@38
|
152 mfc
|
adamc@38
|
153 end
|
adamc@38
|
154
|
adamc@38
|
155 fun mapfold {kind = fk, con = fc} =
|
adamc@38
|
156 mapfoldB {kind = fk,
|
adamc@38
|
157 con = fn () => fc,
|
adamc@38
|
158 bind = fn ((), _) => ()} ()
|
adamc@38
|
159
|
adamc@38
|
160 fun mapB {kind, con, bind} ctx c =
|
adamc@38
|
161 case mapfoldB {kind = fn k => fn () => S.Continue (kind k, ()),
|
adamc@38
|
162 con = fn ctx => fn c => fn () => S.Continue (con ctx c, ()),
|
adamc@38
|
163 bind = bind} ctx c () of
|
adamc@38
|
164 S.Continue (c, ()) => c
|
adamc@38
|
165 | S.Return _ => raise Fail "ExplUtil.Con.mapB: Impossible"
|
adamc@38
|
166
|
adamc@38
|
167 fun map {kind, con} s =
|
adamc@38
|
168 case mapfold {kind = fn k => fn () => S.Continue (kind k, ()),
|
adamc@38
|
169 con = fn c => fn () => S.Continue (con c, ())} s () of
|
adamc@38
|
170 S.Return () => raise Fail "ExplUtil.Con.map: Impossible"
|
adamc@38
|
171 | S.Continue (s, ()) => s
|
adamc@38
|
172
|
adamc@38
|
173 fun exists {kind, con} k =
|
adamc@38
|
174 case mapfold {kind = fn k => fn () =>
|
adamc@38
|
175 if kind k then
|
adamc@38
|
176 S.Return ()
|
adamc@38
|
177 else
|
adamc@38
|
178 S.Continue (k, ()),
|
adamc@38
|
179 con = fn c => fn () =>
|
adamc@38
|
180 if con c then
|
adamc@38
|
181 S.Return ()
|
adamc@38
|
182 else
|
adamc@38
|
183 S.Continue (c, ())} k () of
|
adamc@38
|
184 S.Return _ => true
|
adamc@38
|
185 | S.Continue _ => false
|
adamc@38
|
186
|
adamc@38
|
187 end
|
adamc@38
|
188
|
adamc@38
|
189 structure Exp = struct
|
adamc@38
|
190
|
adamc@38
|
191 datatype binder =
|
adamc@38
|
192 RelC of string * Expl.kind
|
adamc@38
|
193 | NamedC of string * Expl.kind
|
adamc@38
|
194 | RelE of string * Expl.con
|
adamc@38
|
195 | NamedE of string * Expl.con
|
adamc@38
|
196
|
adamc@38
|
197 fun mapfoldB {kind = fk, con = fc, exp = fe, bind} =
|
adamc@38
|
198 let
|
adamc@38
|
199 val mfk = Kind.mapfold fk
|
adamc@38
|
200
|
adamc@38
|
201 fun bind' (ctx, b) =
|
adamc@38
|
202 let
|
adamc@38
|
203 val b' = case b of
|
adamc@38
|
204 Con.Rel x => RelC x
|
adamc@38
|
205 | Con.Named x => NamedC x
|
adamc@38
|
206 in
|
adamc@38
|
207 bind (ctx, b')
|
adamc@38
|
208 end
|
adamc@38
|
209 val mfc = Con.mapfoldB {kind = fk, con = fc, bind = bind'}
|
adamc@38
|
210
|
adamc@38
|
211 fun mfe ctx e acc =
|
adamc@38
|
212 S.bindP (mfe' ctx e acc, fe ctx)
|
adamc@38
|
213
|
adamc@38
|
214 and mfe' ctx (eAll as (e, loc)) =
|
adamc@38
|
215 case e of
|
adamc@38
|
216 EPrim _ => S.return2 eAll
|
adamc@38
|
217 | ERel _ => S.return2 eAll
|
adamc@38
|
218 | ENamed _ => S.return2 eAll
|
adamc@38
|
219 | EModProj _ => S.return2 eAll
|
adamc@38
|
220 | EApp (e1, e2) =>
|
adamc@38
|
221 S.bind2 (mfe ctx e1,
|
adamc@38
|
222 fn e1' =>
|
adamc@38
|
223 S.map2 (mfe ctx e2,
|
adamc@38
|
224 fn e2' =>
|
adamc@38
|
225 (EApp (e1', e2'), loc)))
|
adamc@38
|
226 | EAbs (x, dom, ran, e) =>
|
adamc@38
|
227 S.bind2 (mfc ctx dom,
|
adamc@38
|
228 fn dom' =>
|
adamc@38
|
229 S.bind2 (mfc ctx ran,
|
adamc@38
|
230 fn ran' =>
|
adamc@38
|
231 S.map2 (mfe (bind (ctx, RelE (x, dom'))) e,
|
adamc@38
|
232 fn e' =>
|
adamc@38
|
233 (EAbs (x, dom', ran', e'), loc))))
|
adamc@38
|
234
|
adamc@38
|
235 | ECApp (e, c) =>
|
adamc@38
|
236 S.bind2 (mfe ctx e,
|
adamc@38
|
237 fn e' =>
|
adamc@38
|
238 S.map2 (mfc ctx c,
|
adamc@38
|
239 fn c' =>
|
adamc@38
|
240 (ECApp (e', c'), loc)))
|
adamc@38
|
241 | ECAbs (x, k, e) =>
|
adamc@38
|
242 S.bind2 (mfk k,
|
adamc@38
|
243 fn k' =>
|
adamc@38
|
244 S.map2 (mfe (bind (ctx, RelC (x, k))) e,
|
adamc@38
|
245 fn e' =>
|
adamc@38
|
246 (ECAbs (x, k', e'), loc)))
|
adamc@38
|
247
|
adamc@38
|
248 | ERecord xes =>
|
adamc@38
|
249 S.map2 (ListUtil.mapfold (fn (x, e, t) =>
|
adamc@38
|
250 S.bind2 (mfc ctx x,
|
adamc@38
|
251 fn x' =>
|
adamc@38
|
252 S.bind2 (mfe ctx e,
|
adamc@38
|
253 fn e' =>
|
adamc@38
|
254 S.map2 (mfc ctx t,
|
adamc@38
|
255 fn t' =>
|
adamc@38
|
256 (x', e', t')))))
|
adamc@38
|
257 xes,
|
adamc@38
|
258 fn xes' =>
|
adamc@38
|
259 (ERecord xes', loc))
|
adamc@38
|
260 | EField (e, c, {field, rest}) =>
|
adamc@38
|
261 S.bind2 (mfe ctx e,
|
adamc@38
|
262 fn e' =>
|
adamc@38
|
263 S.bind2 (mfc ctx c,
|
adamc@38
|
264 fn c' =>
|
adamc@38
|
265 S.bind2 (mfc ctx field,
|
adamc@38
|
266 fn field' =>
|
adamc@38
|
267 S.map2 (mfc ctx rest,
|
adamc@38
|
268 fn rest' =>
|
adamc@38
|
269 (EField (e', c', {field = field', rest = rest'}), loc)))))
|
adamc@72
|
270 | EFold k =>
|
adamc@72
|
271 S.map2 (mfk k,
|
adamc@72
|
272 fn k' =>
|
adamc@72
|
273 (EFold k', loc))
|
adamc@38
|
274 in
|
adamc@38
|
275 mfe
|
adamc@38
|
276 end
|
adamc@38
|
277
|
adamc@38
|
278 fun mapfold {kind = fk, con = fc, exp = fe} =
|
adamc@38
|
279 mapfoldB {kind = fk,
|
adamc@38
|
280 con = fn () => fc,
|
adamc@38
|
281 exp = fn () => fe,
|
adamc@38
|
282 bind = fn ((), _) => ()} ()
|
adamc@38
|
283
|
adamc@38
|
284 fun exists {kind, con, exp} k =
|
adamc@38
|
285 case mapfold {kind = fn k => fn () =>
|
adamc@38
|
286 if kind k then
|
adamc@38
|
287 S.Return ()
|
adamc@38
|
288 else
|
adamc@38
|
289 S.Continue (k, ()),
|
adamc@38
|
290 con = fn c => fn () =>
|
adamc@38
|
291 if con c then
|
adamc@38
|
292 S.Return ()
|
adamc@38
|
293 else
|
adamc@38
|
294 S.Continue (c, ()),
|
adamc@38
|
295 exp = fn e => fn () =>
|
adamc@38
|
296 if exp e then
|
adamc@38
|
297 S.Return ()
|
adamc@38
|
298 else
|
adamc@38
|
299 S.Continue (e, ())} k () of
|
adamc@38
|
300 S.Return _ => true
|
adamc@38
|
301 | S.Continue _ => false
|
adamc@38
|
302
|
adamc@38
|
303 end
|
adamc@38
|
304
|
adamc@38
|
305 structure Sgn = struct
|
adamc@38
|
306
|
adamc@38
|
307 datatype binder =
|
adamc@38
|
308 RelC of string * Expl.kind
|
adamc@38
|
309 | NamedC of string * Expl.kind
|
adamc@38
|
310 | Str of string * Expl.sgn
|
adamc@64
|
311 | Sgn of string * Expl.sgn
|
adamc@38
|
312
|
adamc@38
|
313 fun mapfoldB {kind, con, sgn_item, sgn, bind} =
|
adamc@38
|
314 let
|
adamc@38
|
315 fun bind' (ctx, b) =
|
adamc@38
|
316 let
|
adamc@38
|
317 val b' = case b of
|
adamc@38
|
318 Con.Rel x => RelC x
|
adamc@38
|
319 | Con.Named x => NamedC x
|
adamc@38
|
320 in
|
adamc@38
|
321 bind (ctx, b')
|
adamc@38
|
322 end
|
adamc@38
|
323 val con = Con.mapfoldB {kind = kind, con = con, bind = bind'}
|
adamc@38
|
324
|
adamc@38
|
325 val kind = Kind.mapfold kind
|
adamc@38
|
326
|
adamc@38
|
327 fun sgi ctx si acc =
|
adamc@38
|
328 S.bindP (sgi' ctx si acc, sgn_item ctx)
|
adamc@38
|
329
|
adamc@38
|
330 and sgi' ctx (si, loc) =
|
adamc@38
|
331 case si of
|
adamc@38
|
332 SgiConAbs (x, n, k) =>
|
adamc@38
|
333 S.map2 (kind k,
|
adamc@38
|
334 fn k' =>
|
adamc@38
|
335 (SgiConAbs (x, n, k'), loc))
|
adamc@38
|
336 | SgiCon (x, n, k, c) =>
|
adamc@38
|
337 S.bind2 (kind k,
|
adamc@38
|
338 fn k' =>
|
adamc@38
|
339 S.map2 (con ctx c,
|
adamc@38
|
340 fn c' =>
|
adamc@38
|
341 (SgiCon (x, n, k', c'), loc)))
|
adamc@38
|
342 | SgiVal (x, n, c) =>
|
adamc@38
|
343 S.map2 (con ctx c,
|
adamc@38
|
344 fn c' =>
|
adamc@38
|
345 (SgiVal (x, n, c'), loc))
|
adamc@38
|
346 | SgiStr (x, n, s) =>
|
adamc@38
|
347 S.map2 (sg ctx s,
|
adamc@38
|
348 fn s' =>
|
adamc@38
|
349 (SgiStr (x, n, s'), loc))
|
adamc@64
|
350 | SgiSgn (x, n, s) =>
|
adamc@64
|
351 S.map2 (sg ctx s,
|
adamc@64
|
352 fn s' =>
|
adamc@64
|
353 (SgiSgn (x, n, s'), loc))
|
adamc@38
|
354
|
adamc@38
|
355 and sg ctx s acc =
|
adamc@38
|
356 S.bindP (sg' ctx s acc, sgn ctx)
|
adamc@38
|
357
|
adamc@38
|
358 and sg' ctx (sAll as (s, loc)) =
|
adamc@38
|
359 case s of
|
adamc@38
|
360 SgnConst sgis =>
|
adamc@38
|
361 S.map2 (ListUtil.mapfoldB (fn (ctx, si) =>
|
adamc@38
|
362 (case #1 si of
|
adamc@38
|
363 SgiConAbs (x, _, k) =>
|
adamc@38
|
364 bind (ctx, NamedC (x, k))
|
adamc@38
|
365 | SgiCon (x, _, k, _) =>
|
adamc@38
|
366 bind (ctx, NamedC (x, k))
|
adamc@38
|
367 | SgiVal _ => ctx
|
adamc@38
|
368 | SgiStr (x, _, sgn) =>
|
adamc@64
|
369 bind (ctx, Str (x, sgn))
|
adamc@64
|
370 | SgiSgn (x, _, sgn) =>
|
adamc@64
|
371 bind (ctx, Sgn (x, sgn)),
|
adamc@38
|
372 sgi ctx si)) ctx sgis,
|
adamc@38
|
373 fn sgis' =>
|
adamc@38
|
374 (SgnConst sgis', loc))
|
adamc@38
|
375
|
adamc@38
|
376 | SgnVar _ => S.return2 sAll
|
adamc@45
|
377
|
adamc@45
|
378 | SgnFun (m, n, s1, s2) =>
|
adamc@45
|
379 S.bind2 (sg ctx s1,
|
adamc@45
|
380 fn s1' =>
|
adamc@45
|
381 S.map2 (sg (bind (ctx, Str (m, s1'))) s2,
|
adamc@45
|
382 fn s2' =>
|
adamc@45
|
383 (SgnFun (m, n, s1', s2'), loc)))
|
adamc@45
|
384 | SgnWhere (sgn, x, c) =>
|
adamc@45
|
385 S.bind2 (sg ctx sgn,
|
adamc@45
|
386 fn sgn' =>
|
adamc@45
|
387 S.map2 (con ctx c,
|
adamc@45
|
388 fn c' =>
|
adamc@45
|
389 (SgnWhere (sgn', x, c'), loc)))
|
adamc@64
|
390 | SgnProj _ => S.return2 sAll
|
adamc@38
|
391 in
|
adamc@38
|
392 sg
|
adamc@38
|
393 end
|
adamc@38
|
394
|
adamc@38
|
395 fun mapfold {kind, con, sgn_item, sgn} =
|
adamc@38
|
396 mapfoldB {kind = kind,
|
adamc@38
|
397 con = fn () => con,
|
adamc@38
|
398 sgn_item = fn () => sgn_item,
|
adamc@38
|
399 sgn = fn () => sgn,
|
adamc@38
|
400 bind = fn ((), _) => ()} ()
|
adamc@38
|
401
|
adamc@38
|
402 fun map {kind, con, sgn_item, sgn} s =
|
adamc@38
|
403 case mapfold {kind = fn k => fn () => S.Continue (kind k, ()),
|
adamc@38
|
404 con = fn c => fn () => S.Continue (con c, ()),
|
adamc@38
|
405 sgn_item = fn si => fn () => S.Continue (sgn_item si, ()),
|
adamc@38
|
406 sgn = fn s => fn () => S.Continue (sgn s, ())} s () of
|
adamc@38
|
407 S.Return () => raise Fail "Expl_util.Sgn.map"
|
adamc@38
|
408 | S.Continue (s, ()) => s
|
adamc@38
|
409
|
adamc@38
|
410 end
|
adamc@38
|
411
|
adamc@38
|
412 end
|