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annotate src/expl_util.sml @ 213:0343557355fc

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Explifying type classes
author Adam Chlipala <adamc@hcoop.net>
date Sat, 16 Aug 2008 14:45:23 -0400
parents ab86aa858e6c
children 3aa010e97db9
rev   line source
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@213 60
adamc@213 61 | KTuple ks =>
adamc@213 62 S.map2 (ListUtil.mapfold mfk ks,
adamc@213 63 fn ks' =>
adamc@213 64 (KTuple ks', loc))
adamc@38 65 in
adamc@38 66 mfk
adamc@38 67 end
adamc@38 68
adamc@38 69 fun exists f k =
adamc@38 70 case mapfold (fn k => fn () =>
adamc@38 71 if f k then
adamc@38 72 S.Return ()
adamc@38 73 else
adamc@38 74 S.Continue (k, ())) k () of
adamc@38 75 S.Return _ => true
adamc@38 76 | S.Continue _ => false
adamc@38 77
adamc@38 78 end
adamc@38 79
adamc@38 80 structure Con = struct
adamc@38 81
adamc@38 82 datatype binder =
adamc@38 83 Rel of string * Expl.kind
adamc@38 84 | Named of string * Expl.kind
adamc@38 85
adamc@38 86 fun mapfoldB {kind = fk, con = fc, bind} =
adamc@38 87 let
adamc@38 88 val mfk = Kind.mapfold fk
adamc@38 89
adamc@38 90 fun mfc ctx c acc =
adamc@38 91 S.bindP (mfc' ctx c acc, fc ctx)
adamc@38 92
adamc@38 93 and mfc' ctx (cAll as (c, loc)) =
adamc@38 94 case c of
adamc@38 95 TFun (c1, c2) =>
adamc@38 96 S.bind2 (mfc ctx c1,
adamc@38 97 fn c1' =>
adamc@38 98 S.map2 (mfc ctx c2,
adamc@38 99 fn c2' =>
adamc@38 100 (TFun (c1', c2'), loc)))
adamc@38 101 | TCFun (x, k, c) =>
adamc@38 102 S.bind2 (mfk k,
adamc@38 103 fn k' =>
adamc@38 104 S.map2 (mfc (bind (ctx, Rel (x, k))) c,
adamc@38 105 fn c' =>
adamc@38 106 (TCFun (x, k', c'), loc)))
adamc@38 107 | TRecord c =>
adamc@38 108 S.map2 (mfc ctx c,
adamc@38 109 fn c' =>
adamc@38 110 (TRecord c', loc))
adamc@38 111
adamc@38 112 | CRel _ => S.return2 cAll
adamc@38 113 | CNamed _ => S.return2 cAll
adamc@38 114 | CModProj _ => S.return2 cAll
adamc@38 115 | CApp (c1, c2) =>
adamc@38 116 S.bind2 (mfc ctx c1,
adamc@38 117 fn c1' =>
adamc@38 118 S.map2 (mfc ctx c2,
adamc@38 119 fn c2' =>
adamc@38 120 (CApp (c1', c2'), loc)))
adamc@38 121 | CAbs (x, k, c) =>
adamc@38 122 S.bind2 (mfk k,
adamc@38 123 fn k' =>
adamc@38 124 S.map2 (mfc (bind (ctx, Rel (x, k))) c,
adamc@38 125 fn c' =>
adamc@38 126 (CAbs (x, k', c'), loc)))
adamc@38 127
adamc@38 128 | CName _ => S.return2 cAll
adamc@38 129
adamc@38 130 | CRecord (k, xcs) =>
adamc@38 131 S.bind2 (mfk k,
adamc@38 132 fn k' =>
adamc@38 133 S.map2 (ListUtil.mapfold (fn (x, c) =>
adamc@38 134 S.bind2 (mfc ctx x,
adamc@38 135 fn x' =>
adamc@38 136 S.map2 (mfc ctx c,
adamc@38 137 fn c' =>
adamc@38 138 (x', c'))))
adamc@38 139 xcs,
adamc@38 140 fn xcs' =>
adamc@38 141 (CRecord (k', xcs'), loc)))
adamc@38 142 | CConcat (c1, c2) =>
adamc@38 143 S.bind2 (mfc ctx c1,
adamc@38 144 fn c1' =>
adamc@38 145 S.map2 (mfc ctx c2,
adamc@38 146 fn c2' =>
adamc@38 147 (CConcat (c1', c2'), loc)))
adamc@68 148 | CFold (k1, k2) =>
adamc@68 149 S.bind2 (mfk k1,
adamc@68 150 fn k1' =>
adamc@68 151 S.map2 (mfk k2,
adamc@68 152 fn k2' =>
adamc@68 153 (CFold (k1', k2'), loc)))
adamc@87 154
adamc@87 155 | CUnit => S.return2 cAll
adamc@213 156
adamc@213 157 | CTuple cs =>
adamc@213 158 S.map2 (ListUtil.mapfold (mfc ctx) cs,
adamc@213 159 fn cs' =>
adamc@213 160 (CTuple cs', loc))
adamc@213 161
adamc@213 162 | CProj (c, n) =>
adamc@213 163 S.map2 (mfc ctx c,
adamc@213 164 fn c' =>
adamc@213 165 (CProj (c', n), loc))
adamc@38 166 in
adamc@38 167 mfc
adamc@38 168 end
adamc@38 169
adamc@38 170 fun mapfold {kind = fk, con = fc} =
adamc@38 171 mapfoldB {kind = fk,
adamc@38 172 con = fn () => fc,
adamc@38 173 bind = fn ((), _) => ()} ()
adamc@38 174
adamc@38 175 fun mapB {kind, con, bind} ctx c =
adamc@38 176 case mapfoldB {kind = fn k => fn () => S.Continue (kind k, ()),
adamc@38 177 con = fn ctx => fn c => fn () => S.Continue (con ctx c, ()),
adamc@38 178 bind = bind} ctx c () of
adamc@38 179 S.Continue (c, ()) => c
adamc@38 180 | S.Return _ => raise Fail "ExplUtil.Con.mapB: Impossible"
adamc@38 181
adamc@38 182 fun map {kind, con} s =
adamc@38 183 case mapfold {kind = fn k => fn () => S.Continue (kind k, ()),
adamc@38 184 con = fn c => fn () => S.Continue (con c, ())} s () of
adamc@38 185 S.Return () => raise Fail "ExplUtil.Con.map: Impossible"
adamc@38 186 | S.Continue (s, ()) => s
adamc@38 187
adamc@38 188 fun exists {kind, con} k =
adamc@38 189 case mapfold {kind = fn k => fn () =>
adamc@38 190 if kind k then
adamc@38 191 S.Return ()
adamc@38 192 else
adamc@38 193 S.Continue (k, ()),
adamc@38 194 con = fn c => fn () =>
adamc@38 195 if con c then
adamc@38 196 S.Return ()
adamc@38 197 else
adamc@38 198 S.Continue (c, ())} k () of
adamc@38 199 S.Return _ => true
adamc@38 200 | S.Continue _ => false
adamc@38 201
adamc@38 202 end
adamc@38 203
adamc@38 204 structure Exp = struct
adamc@38 205
adamc@38 206 datatype binder =
adamc@38 207 RelC of string * Expl.kind
adamc@38 208 | NamedC of string * Expl.kind
adamc@38 209 | RelE of string * Expl.con
adamc@38 210 | NamedE of string * Expl.con
adamc@38 211
adamc@38 212 fun mapfoldB {kind = fk, con = fc, exp = fe, bind} =
adamc@38 213 let
adamc@38 214 val mfk = Kind.mapfold fk
adamc@38 215
adamc@38 216 fun bind' (ctx, b) =
adamc@38 217 let
adamc@38 218 val b' = case b of
adamc@38 219 Con.Rel x => RelC x
adamc@38 220 | Con.Named x => NamedC x
adamc@38 221 in
adamc@38 222 bind (ctx, b')
adamc@38 223 end
adamc@38 224 val mfc = Con.mapfoldB {kind = fk, con = fc, bind = bind'}
adamc@38 225
adamc@38 226 fun mfe ctx e acc =
adamc@38 227 S.bindP (mfe' ctx e acc, fe ctx)
adamc@38 228
adamc@38 229 and mfe' ctx (eAll as (e, loc)) =
adamc@38 230 case e of
adamc@38 231 EPrim _ => S.return2 eAll
adamc@38 232 | ERel _ => S.return2 eAll
adamc@38 233 | ENamed _ => S.return2 eAll
adamc@38 234 | EModProj _ => S.return2 eAll
adamc@38 235 | EApp (e1, e2) =>
adamc@38 236 S.bind2 (mfe ctx e1,
adamc@38 237 fn e1' =>
adamc@38 238 S.map2 (mfe ctx e2,
adamc@38 239 fn e2' =>
adamc@38 240 (EApp (e1', e2'), loc)))
adamc@38 241 | EAbs (x, dom, ran, e) =>
adamc@38 242 S.bind2 (mfc ctx dom,
adamc@38 243 fn dom' =>
adamc@38 244 S.bind2 (mfc ctx ran,
adamc@38 245 fn ran' =>
adamc@38 246 S.map2 (mfe (bind (ctx, RelE (x, dom'))) e,
adamc@38 247 fn e' =>
adamc@38 248 (EAbs (x, dom', ran', e'), loc))))
adamc@38 249
adamc@38 250 | ECApp (e, c) =>
adamc@38 251 S.bind2 (mfe ctx e,
adamc@38 252 fn e' =>
adamc@38 253 S.map2 (mfc ctx c,
adamc@38 254 fn c' =>
adamc@38 255 (ECApp (e', c'), loc)))
adamc@38 256 | ECAbs (x, k, e) =>
adamc@38 257 S.bind2 (mfk k,
adamc@38 258 fn k' =>
adamc@38 259 S.map2 (mfe (bind (ctx, RelC (x, k))) e,
adamc@38 260 fn e' =>
adamc@38 261 (ECAbs (x, k', e'), loc)))
adamc@38 262
adamc@38 263 | ERecord xes =>
adamc@38 264 S.map2 (ListUtil.mapfold (fn (x, e, t) =>
adamc@38 265 S.bind2 (mfc ctx x,
adamc@38 266 fn x' =>
adamc@38 267 S.bind2 (mfe ctx e,
adamc@38 268 fn e' =>
adamc@38 269 S.map2 (mfc ctx t,
adamc@38 270 fn t' =>
adamc@38 271 (x', e', t')))))
adamc@38 272 xes,
adamc@38 273 fn xes' =>
adamc@38 274 (ERecord xes', loc))
adamc@38 275 | EField (e, c, {field, rest}) =>
adamc@38 276 S.bind2 (mfe ctx e,
adamc@38 277 fn e' =>
adamc@38 278 S.bind2 (mfc ctx c,
adamc@38 279 fn c' =>
adamc@38 280 S.bind2 (mfc ctx field,
adamc@38 281 fn field' =>
adamc@38 282 S.map2 (mfc ctx rest,
adamc@38 283 fn rest' =>
adamc@38 284 (EField (e', c', {field = field', rest = rest'}), loc)))))
adamc@149 285 | ECut (e, c, {field, rest}) =>
adamc@149 286 S.bind2 (mfe ctx e,
adamc@149 287 fn e' =>
adamc@149 288 S.bind2 (mfc ctx c,
adamc@149 289 fn c' =>
adamc@149 290 S.bind2 (mfc ctx field,
adamc@149 291 fn field' =>
adamc@149 292 S.map2 (mfc ctx rest,
adamc@149 293 fn rest' =>
adamc@149 294 (ECut (e', c', {field = field', rest = rest'}), loc)))))
adamc@72 295 | EFold k =>
adamc@72 296 S.map2 (mfk k,
adamc@72 297 fn k' =>
adamc@72 298 (EFold k', loc))
adamc@109 299
adamc@109 300 | EWrite e =>
adamc@109 301 S.map2 (mfe ctx e,
adamc@109 302 fn e' =>
adamc@109 303 (EWrite e', loc))
adamc@176 304
adamc@182 305 | ECase (e, pes, {disc, result}) =>
adamc@176 306 S.bind2 (mfe ctx e,
adamc@176 307 fn e' =>
adamc@176 308 S.bind2 (ListUtil.mapfold (fn (p, e) =>
adamc@176 309 S.map2 (mfe ctx e,
adamc@176 310 fn e' => (p, e'))) pes,
adamc@176 311 fn pes' =>
adamc@182 312 S.bind2 (mfc ctx disc,
adamc@182 313 fn disc' =>
adamc@182 314 S.map2 (mfc ctx result,
adamc@182 315 fn result' =>
adamc@182 316 (ECase (e', pes', {disc = disc', result = result'}), loc)))))
adamc@38 317 in
adamc@38 318 mfe
adamc@38 319 end
adamc@38 320
adamc@38 321 fun mapfold {kind = fk, con = fc, exp = fe} =
adamc@38 322 mapfoldB {kind = fk,
adamc@38 323 con = fn () => fc,
adamc@38 324 exp = fn () => fe,
adamc@38 325 bind = fn ((), _) => ()} ()
adamc@38 326
adamc@38 327 fun exists {kind, con, exp} k =
adamc@38 328 case mapfold {kind = fn k => fn () =>
adamc@38 329 if kind k then
adamc@38 330 S.Return ()
adamc@38 331 else
adamc@38 332 S.Continue (k, ()),
adamc@38 333 con = fn c => fn () =>
adamc@38 334 if con c then
adamc@38 335 S.Return ()
adamc@38 336 else
adamc@38 337 S.Continue (c, ()),
adamc@38 338 exp = fn e => fn () =>
adamc@38 339 if exp e then
adamc@38 340 S.Return ()
adamc@38 341 else
adamc@38 342 S.Continue (e, ())} k () of
adamc@38 343 S.Return _ => true
adamc@38 344 | S.Continue _ => false
adamc@38 345
adamc@38 346 end
adamc@38 347
adamc@38 348 structure Sgn = struct
adamc@38 349
adamc@38 350 datatype binder =
adamc@38 351 RelC of string * Expl.kind
adamc@38 352 | NamedC of string * Expl.kind
adamc@38 353 | Str of string * Expl.sgn
adamc@64 354 | Sgn of string * Expl.sgn
adamc@38 355
adamc@38 356 fun mapfoldB {kind, con, sgn_item, sgn, bind} =
adamc@38 357 let
adamc@38 358 fun bind' (ctx, b) =
adamc@38 359 let
adamc@38 360 val b' = case b of
adamc@38 361 Con.Rel x => RelC x
adamc@38 362 | Con.Named x => NamedC x
adamc@38 363 in
adamc@38 364 bind (ctx, b')
adamc@38 365 end
adamc@38 366 val con = Con.mapfoldB {kind = kind, con = con, bind = bind'}
adamc@38 367
adamc@38 368 val kind = Kind.mapfold kind
adamc@38 369
adamc@38 370 fun sgi ctx si acc =
adamc@38 371 S.bindP (sgi' ctx si acc, sgn_item ctx)
adamc@38 372
adamc@162 373 and sgi' ctx (siAll as (si, loc)) =
adamc@38 374 case si of
adamc@38 375 SgiConAbs (x, n, k) =>
adamc@38 376 S.map2 (kind k,
adamc@38 377 fn k' =>
adamc@38 378 (SgiConAbs (x, n, k'), loc))
adamc@38 379 | SgiCon (x, n, k, c) =>
adamc@38 380 S.bind2 (kind k,
adamc@38 381 fn k' =>
adamc@38 382 S.map2 (con ctx c,
adamc@38 383 fn c' =>
adamc@38 384 (SgiCon (x, n, k', c'), loc)))
adamc@191 385 | SgiDatatype (x, n, xs, xncs) =>
adamc@162 386 S.map2 (ListUtil.mapfold (fn (x, n, c) =>
adamc@162 387 case c of
adamc@162 388 NONE => S.return2 (x, n, c)
adamc@162 389 | SOME c =>
adamc@162 390 S.map2 (con ctx c,
adamc@162 391 fn c' => (x, n, SOME c'))) xncs,
adamc@162 392 fn xncs' =>
adamc@191 393 (SgiDatatype (x, n, xs, xncs'), loc))
adamc@191 394 | SgiDatatypeImp (x, n, m1, ms, s, xs, xncs) =>
adamc@162 395 S.map2 (ListUtil.mapfold (fn (x, n, c) =>
adamc@162 396 case c of
adamc@162 397 NONE => S.return2 (x, n, c)
adamc@162 398 | SOME c =>
adamc@162 399 S.map2 (con ctx c,
adamc@162 400 fn c' => (x, n, SOME c'))) xncs,
adamc@162 401 fn xncs' =>
adamc@191 402 (SgiDatatypeImp (x, n, m1, ms, s, xs, xncs'), loc))
adamc@38 403 | SgiVal (x, n, c) =>
adamc@38 404 S.map2 (con ctx c,
adamc@38 405 fn c' =>
adamc@38 406 (SgiVal (x, n, c'), loc))
adamc@38 407 | SgiStr (x, n, s) =>
adamc@38 408 S.map2 (sg ctx s,
adamc@38 409 fn s' =>
adamc@38 410 (SgiStr (x, n, s'), loc))
adamc@64 411 | SgiSgn (x, n, s) =>
adamc@64 412 S.map2 (sg ctx s,
adamc@64 413 fn s' =>
adamc@64 414 (SgiSgn (x, n, s'), loc))
adamc@38 415
adamc@38 416 and sg ctx s acc =
adamc@38 417 S.bindP (sg' ctx s acc, sgn ctx)
adamc@38 418
adamc@38 419 and sg' ctx (sAll as (s, loc)) =
adamc@38 420 case s of
adamc@38 421 SgnConst sgis =>
adamc@38 422 S.map2 (ListUtil.mapfoldB (fn (ctx, si) =>
adamc@38 423 (case #1 si of
adamc@38 424 SgiConAbs (x, _, k) =>
adamc@38 425 bind (ctx, NamedC (x, k))
adamc@38 426 | SgiCon (x, _, k, _) =>
adamc@38 427 bind (ctx, NamedC (x, k))
adamc@191 428 | SgiDatatype (x, n, _, xncs) =>
adamc@162 429 bind (ctx, NamedC (x, (KType, loc)))
adamc@191 430 | SgiDatatypeImp (x, _, _, _, _, _, _) =>
adamc@162 431 bind (ctx, NamedC (x, (KType, loc)))
adamc@38 432 | SgiVal _ => ctx
adamc@38 433 | SgiStr (x, _, sgn) =>
adamc@64 434 bind (ctx, Str (x, sgn))
adamc@64 435 | SgiSgn (x, _, sgn) =>
adamc@64 436 bind (ctx, Sgn (x, sgn)),
adamc@38 437 sgi ctx si)) ctx sgis,
adamc@38 438 fn sgis' =>
adamc@38 439 (SgnConst sgis', loc))
adamc@38 440
adamc@38 441 | SgnVar _ => S.return2 sAll
adamc@45 442
adamc@45 443 | SgnFun (m, n, s1, s2) =>
adamc@45 444 S.bind2 (sg ctx s1,
adamc@45 445 fn s1' =>
adamc@45 446 S.map2 (sg (bind (ctx, Str (m, s1'))) s2,
adamc@45 447 fn s2' =>
adamc@45 448 (SgnFun (m, n, s1', s2'), loc)))
adamc@45 449 | SgnWhere (sgn, x, c) =>
adamc@45 450 S.bind2 (sg ctx sgn,
adamc@45 451 fn sgn' =>
adamc@45 452 S.map2 (con ctx c,
adamc@45 453 fn c' =>
adamc@45 454 (SgnWhere (sgn', x, c'), loc)))
adamc@64 455 | SgnProj _ => S.return2 sAll
adamc@38 456 in
adamc@38 457 sg
adamc@38 458 end
adamc@38 459
adamc@38 460 fun mapfold {kind, con, sgn_item, sgn} =
adamc@38 461 mapfoldB {kind = kind,
adamc@38 462 con = fn () => con,
adamc@38 463 sgn_item = fn () => sgn_item,
adamc@38 464 sgn = fn () => sgn,
adamc@38 465 bind = fn ((), _) => ()} ()
adamc@38 466
adamc@38 467 fun map {kind, con, sgn_item, sgn} s =
adamc@38 468 case mapfold {kind = fn k => fn () => S.Continue (kind k, ()),
adamc@38 469 con = fn c => fn () => S.Continue (con c, ()),
adamc@38 470 sgn_item = fn si => fn () => S.Continue (sgn_item si, ()),
adamc@38 471 sgn = fn s => fn () => S.Continue (sgn s, ())} s () of
adamc@38 472 S.Return () => raise Fail "Expl_util.Sgn.map"
adamc@38 473 | S.Continue (s, ()) => s
adamc@38 474
adamc@38 475 end
adamc@38 476
adamc@38 477 end