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annotate src/expl_util.sml @ 210:f4033abd6ab1

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Inferring sql_type's
author Adam Chlipala <adamc@hcoop.net>
date Sat, 16 Aug 2008 12:35:46 -0400
parents ab86aa858e6c
children 0343557355fc
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@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@149 270 | ECut (e, c, {field, rest}) =>
adamc@149 271 S.bind2 (mfe ctx e,
adamc@149 272 fn e' =>
adamc@149 273 S.bind2 (mfc ctx c,
adamc@149 274 fn c' =>
adamc@149 275 S.bind2 (mfc ctx field,
adamc@149 276 fn field' =>
adamc@149 277 S.map2 (mfc ctx rest,
adamc@149 278 fn rest' =>
adamc@149 279 (ECut (e', c', {field = field', rest = rest'}), loc)))))
adamc@72 280 | EFold k =>
adamc@72 281 S.map2 (mfk k,
adamc@72 282 fn k' =>
adamc@72 283 (EFold k', loc))
adamc@109 284
adamc@109 285 | EWrite e =>
adamc@109 286 S.map2 (mfe ctx e,
adamc@109 287 fn e' =>
adamc@109 288 (EWrite e', loc))
adamc@176 289
adamc@182 290 | ECase (e, pes, {disc, result}) =>
adamc@176 291 S.bind2 (mfe ctx e,
adamc@176 292 fn e' =>
adamc@176 293 S.bind2 (ListUtil.mapfold (fn (p, e) =>
adamc@176 294 S.map2 (mfe ctx e,
adamc@176 295 fn e' => (p, e'))) pes,
adamc@176 296 fn pes' =>
adamc@182 297 S.bind2 (mfc ctx disc,
adamc@182 298 fn disc' =>
adamc@182 299 S.map2 (mfc ctx result,
adamc@182 300 fn result' =>
adamc@182 301 (ECase (e', pes', {disc = disc', result = result'}), loc)))))
adamc@38 302 in
adamc@38 303 mfe
adamc@38 304 end
adamc@38 305
adamc@38 306 fun mapfold {kind = fk, con = fc, exp = fe} =
adamc@38 307 mapfoldB {kind = fk,
adamc@38 308 con = fn () => fc,
adamc@38 309 exp = fn () => fe,
adamc@38 310 bind = fn ((), _) => ()} ()
adamc@38 311
adamc@38 312 fun exists {kind, con, exp} k =
adamc@38 313 case mapfold {kind = fn k => fn () =>
adamc@38 314 if kind k then
adamc@38 315 S.Return ()
adamc@38 316 else
adamc@38 317 S.Continue (k, ()),
adamc@38 318 con = fn c => fn () =>
adamc@38 319 if con c then
adamc@38 320 S.Return ()
adamc@38 321 else
adamc@38 322 S.Continue (c, ()),
adamc@38 323 exp = fn e => fn () =>
adamc@38 324 if exp e then
adamc@38 325 S.Return ()
adamc@38 326 else
adamc@38 327 S.Continue (e, ())} k () of
adamc@38 328 S.Return _ => true
adamc@38 329 | S.Continue _ => false
adamc@38 330
adamc@38 331 end
adamc@38 332
adamc@38 333 structure Sgn = struct
adamc@38 334
adamc@38 335 datatype binder =
adamc@38 336 RelC of string * Expl.kind
adamc@38 337 | NamedC of string * Expl.kind
adamc@38 338 | Str of string * Expl.sgn
adamc@64 339 | Sgn of string * Expl.sgn
adamc@38 340
adamc@38 341 fun mapfoldB {kind, con, sgn_item, sgn, bind} =
adamc@38 342 let
adamc@38 343 fun bind' (ctx, b) =
adamc@38 344 let
adamc@38 345 val b' = case b of
adamc@38 346 Con.Rel x => RelC x
adamc@38 347 | Con.Named x => NamedC x
adamc@38 348 in
adamc@38 349 bind (ctx, b')
adamc@38 350 end
adamc@38 351 val con = Con.mapfoldB {kind = kind, con = con, bind = bind'}
adamc@38 352
adamc@38 353 val kind = Kind.mapfold kind
adamc@38 354
adamc@38 355 fun sgi ctx si acc =
adamc@38 356 S.bindP (sgi' ctx si acc, sgn_item ctx)
adamc@38 357
adamc@162 358 and sgi' ctx (siAll as (si, loc)) =
adamc@38 359 case si of
adamc@38 360 SgiConAbs (x, n, k) =>
adamc@38 361 S.map2 (kind k,
adamc@38 362 fn k' =>
adamc@38 363 (SgiConAbs (x, n, k'), loc))
adamc@38 364 | SgiCon (x, n, k, c) =>
adamc@38 365 S.bind2 (kind k,
adamc@38 366 fn k' =>
adamc@38 367 S.map2 (con ctx c,
adamc@38 368 fn c' =>
adamc@38 369 (SgiCon (x, n, k', c'), loc)))
adamc@191 370 | SgiDatatype (x, n, xs, xncs) =>
adamc@162 371 S.map2 (ListUtil.mapfold (fn (x, n, c) =>
adamc@162 372 case c of
adamc@162 373 NONE => S.return2 (x, n, c)
adamc@162 374 | SOME c =>
adamc@162 375 S.map2 (con ctx c,
adamc@162 376 fn c' => (x, n, SOME c'))) xncs,
adamc@162 377 fn xncs' =>
adamc@191 378 (SgiDatatype (x, n, xs, xncs'), loc))
adamc@191 379 | SgiDatatypeImp (x, n, m1, ms, s, xs, xncs) =>
adamc@162 380 S.map2 (ListUtil.mapfold (fn (x, n, c) =>
adamc@162 381 case c of
adamc@162 382 NONE => S.return2 (x, n, c)
adamc@162 383 | SOME c =>
adamc@162 384 S.map2 (con ctx c,
adamc@162 385 fn c' => (x, n, SOME c'))) xncs,
adamc@162 386 fn xncs' =>
adamc@191 387 (SgiDatatypeImp (x, n, m1, ms, s, xs, xncs'), loc))
adamc@38 388 | SgiVal (x, n, c) =>
adamc@38 389 S.map2 (con ctx c,
adamc@38 390 fn c' =>
adamc@38 391 (SgiVal (x, n, c'), loc))
adamc@38 392 | SgiStr (x, n, s) =>
adamc@38 393 S.map2 (sg ctx s,
adamc@38 394 fn s' =>
adamc@38 395 (SgiStr (x, n, s'), loc))
adamc@64 396 | SgiSgn (x, n, s) =>
adamc@64 397 S.map2 (sg ctx s,
adamc@64 398 fn s' =>
adamc@64 399 (SgiSgn (x, n, s'), loc))
adamc@38 400
adamc@38 401 and sg ctx s acc =
adamc@38 402 S.bindP (sg' ctx s acc, sgn ctx)
adamc@38 403
adamc@38 404 and sg' ctx (sAll as (s, loc)) =
adamc@38 405 case s of
adamc@38 406 SgnConst sgis =>
adamc@38 407 S.map2 (ListUtil.mapfoldB (fn (ctx, si) =>
adamc@38 408 (case #1 si of
adamc@38 409 SgiConAbs (x, _, k) =>
adamc@38 410 bind (ctx, NamedC (x, k))
adamc@38 411 | SgiCon (x, _, k, _) =>
adamc@38 412 bind (ctx, NamedC (x, k))
adamc@191 413 | SgiDatatype (x, n, _, xncs) =>
adamc@162 414 bind (ctx, NamedC (x, (KType, loc)))
adamc@191 415 | SgiDatatypeImp (x, _, _, _, _, _, _) =>
adamc@162 416 bind (ctx, NamedC (x, (KType, loc)))
adamc@38 417 | SgiVal _ => ctx
adamc@38 418 | SgiStr (x, _, sgn) =>
adamc@64 419 bind (ctx, Str (x, sgn))
adamc@64 420 | SgiSgn (x, _, sgn) =>
adamc@64 421 bind (ctx, Sgn (x, sgn)),
adamc@38 422 sgi ctx si)) ctx sgis,
adamc@38 423 fn sgis' =>
adamc@38 424 (SgnConst sgis', loc))
adamc@38 425
adamc@38 426 | SgnVar _ => S.return2 sAll
adamc@45 427
adamc@45 428 | SgnFun (m, n, s1, s2) =>
adamc@45 429 S.bind2 (sg ctx s1,
adamc@45 430 fn s1' =>
adamc@45 431 S.map2 (sg (bind (ctx, Str (m, s1'))) s2,
adamc@45 432 fn s2' =>
adamc@45 433 (SgnFun (m, n, s1', s2'), loc)))
adamc@45 434 | SgnWhere (sgn, x, c) =>
adamc@45 435 S.bind2 (sg ctx sgn,
adamc@45 436 fn sgn' =>
adamc@45 437 S.map2 (con ctx c,
adamc@45 438 fn c' =>
adamc@45 439 (SgnWhere (sgn', x, c'), loc)))
adamc@64 440 | SgnProj _ => S.return2 sAll
adamc@38 441 in
adamc@38 442 sg
adamc@38 443 end
adamc@38 444
adamc@38 445 fun mapfold {kind, con, sgn_item, sgn} =
adamc@38 446 mapfoldB {kind = kind,
adamc@38 447 con = fn () => con,
adamc@38 448 sgn_item = fn () => sgn_item,
adamc@38 449 sgn = fn () => sgn,
adamc@38 450 bind = fn ((), _) => ()} ()
adamc@38 451
adamc@38 452 fun map {kind, con, sgn_item, sgn} s =
adamc@38 453 case mapfold {kind = fn k => fn () => S.Continue (kind k, ()),
adamc@38 454 con = fn c => fn () => S.Continue (con c, ()),
adamc@38 455 sgn_item = fn si => fn () => S.Continue (sgn_item si, ()),
adamc@38 456 sgn = fn s => fn () => S.Continue (sgn s, ())} s () of
adamc@38 457 S.Return () => raise Fail "Expl_util.Sgn.map"
adamc@38 458 | S.Continue (s, ()) => s
adamc@38 459
adamc@38 460 end
adamc@38 461
adamc@38 462 end