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Three-argument web function test
author Adam Chlipala <adamc@hcoop.net>
date Sun, 13 Jul 2008 20:25:25 -0400
parents 813e5a52063d
children 7420fa18d657
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@72 270 | EFold k =>
adamc@72 271 S.map2 (mfk k,
adamc@72 272 fn k' =>
adamc@72 273 (EFold k', loc))
adamc@109 274
adamc@109 275 | EWrite e =>
adamc@109 276 S.map2 (mfe ctx e,
adamc@109 277 fn e' =>
adamc@109 278 (EWrite e', loc))
adamc@38 279 in
adamc@38 280 mfe
adamc@38 281 end
adamc@38 282
adamc@38 283 fun mapfold {kind = fk, con = fc, exp = fe} =
adamc@38 284 mapfoldB {kind = fk,
adamc@38 285 con = fn () => fc,
adamc@38 286 exp = fn () => fe,
adamc@38 287 bind = fn ((), _) => ()} ()
adamc@38 288
adamc@38 289 fun exists {kind, con, exp} k =
adamc@38 290 case mapfold {kind = fn k => fn () =>
adamc@38 291 if kind k then
adamc@38 292 S.Return ()
adamc@38 293 else
adamc@38 294 S.Continue (k, ()),
adamc@38 295 con = fn c => fn () =>
adamc@38 296 if con c then
adamc@38 297 S.Return ()
adamc@38 298 else
adamc@38 299 S.Continue (c, ()),
adamc@38 300 exp = fn e => fn () =>
adamc@38 301 if exp e then
adamc@38 302 S.Return ()
adamc@38 303 else
adamc@38 304 S.Continue (e, ())} k () of
adamc@38 305 S.Return _ => true
adamc@38 306 | S.Continue _ => false
adamc@38 307
adamc@38 308 end
adamc@38 309
adamc@38 310 structure Sgn = struct
adamc@38 311
adamc@38 312 datatype binder =
adamc@38 313 RelC of string * Expl.kind
adamc@38 314 | NamedC of string * Expl.kind
adamc@38 315 | Str of string * Expl.sgn
adamc@64 316 | Sgn of string * Expl.sgn
adamc@38 317
adamc@38 318 fun mapfoldB {kind, con, sgn_item, sgn, bind} =
adamc@38 319 let
adamc@38 320 fun bind' (ctx, b) =
adamc@38 321 let
adamc@38 322 val b' = case b of
adamc@38 323 Con.Rel x => RelC x
adamc@38 324 | Con.Named x => NamedC x
adamc@38 325 in
adamc@38 326 bind (ctx, b')
adamc@38 327 end
adamc@38 328 val con = Con.mapfoldB {kind = kind, con = con, bind = bind'}
adamc@38 329
adamc@38 330 val kind = Kind.mapfold kind
adamc@38 331
adamc@38 332 fun sgi ctx si acc =
adamc@38 333 S.bindP (sgi' ctx si acc, sgn_item ctx)
adamc@38 334
adamc@38 335 and sgi' ctx (si, loc) =
adamc@38 336 case si of
adamc@38 337 SgiConAbs (x, n, k) =>
adamc@38 338 S.map2 (kind k,
adamc@38 339 fn k' =>
adamc@38 340 (SgiConAbs (x, n, k'), loc))
adamc@38 341 | SgiCon (x, n, k, c) =>
adamc@38 342 S.bind2 (kind k,
adamc@38 343 fn k' =>
adamc@38 344 S.map2 (con ctx c,
adamc@38 345 fn c' =>
adamc@38 346 (SgiCon (x, n, k', c'), loc)))
adamc@38 347 | SgiVal (x, n, c) =>
adamc@38 348 S.map2 (con ctx c,
adamc@38 349 fn c' =>
adamc@38 350 (SgiVal (x, n, c'), loc))
adamc@38 351 | SgiStr (x, n, s) =>
adamc@38 352 S.map2 (sg ctx s,
adamc@38 353 fn s' =>
adamc@38 354 (SgiStr (x, n, s'), loc))
adamc@64 355 | SgiSgn (x, n, s) =>
adamc@64 356 S.map2 (sg ctx s,
adamc@64 357 fn s' =>
adamc@64 358 (SgiSgn (x, n, s'), loc))
adamc@38 359
adamc@38 360 and sg ctx s acc =
adamc@38 361 S.bindP (sg' ctx s acc, sgn ctx)
adamc@38 362
adamc@38 363 and sg' ctx (sAll as (s, loc)) =
adamc@38 364 case s of
adamc@38 365 SgnConst sgis =>
adamc@38 366 S.map2 (ListUtil.mapfoldB (fn (ctx, si) =>
adamc@38 367 (case #1 si of
adamc@38 368 SgiConAbs (x, _, k) =>
adamc@38 369 bind (ctx, NamedC (x, k))
adamc@38 370 | SgiCon (x, _, k, _) =>
adamc@38 371 bind (ctx, NamedC (x, k))
adamc@38 372 | SgiVal _ => ctx
adamc@38 373 | SgiStr (x, _, sgn) =>
adamc@64 374 bind (ctx, Str (x, sgn))
adamc@64 375 | SgiSgn (x, _, sgn) =>
adamc@64 376 bind (ctx, Sgn (x, sgn)),
adamc@38 377 sgi ctx si)) ctx sgis,
adamc@38 378 fn sgis' =>
adamc@38 379 (SgnConst sgis', loc))
adamc@38 380
adamc@38 381 | SgnVar _ => S.return2 sAll
adamc@45 382
adamc@45 383 | SgnFun (m, n, s1, s2) =>
adamc@45 384 S.bind2 (sg ctx s1,
adamc@45 385 fn s1' =>
adamc@45 386 S.map2 (sg (bind (ctx, Str (m, s1'))) s2,
adamc@45 387 fn s2' =>
adamc@45 388 (SgnFun (m, n, s1', s2'), loc)))
adamc@45 389 | SgnWhere (sgn, x, c) =>
adamc@45 390 S.bind2 (sg ctx sgn,
adamc@45 391 fn sgn' =>
adamc@45 392 S.map2 (con ctx c,
adamc@45 393 fn c' =>
adamc@45 394 (SgnWhere (sgn', x, c'), loc)))
adamc@64 395 | SgnProj _ => S.return2 sAll
adamc@38 396 in
adamc@38 397 sg
adamc@38 398 end
adamc@38 399
adamc@38 400 fun mapfold {kind, con, sgn_item, sgn} =
adamc@38 401 mapfoldB {kind = kind,
adamc@38 402 con = fn () => con,
adamc@38 403 sgn_item = fn () => sgn_item,
adamc@38 404 sgn = fn () => sgn,
adamc@38 405 bind = fn ((), _) => ()} ()
adamc@38 406
adamc@38 407 fun map {kind, con, sgn_item, sgn} s =
adamc@38 408 case mapfold {kind = fn k => fn () => S.Continue (kind k, ()),
adamc@38 409 con = fn c => fn () => S.Continue (con c, ()),
adamc@38 410 sgn_item = fn si => fn () => S.Continue (sgn_item si, ()),
adamc@38 411 sgn = fn s => fn () => S.Continue (sgn s, ())} s () of
adamc@38 412 S.Return () => raise Fail "Expl_util.Sgn.map"
adamc@38 413 | S.Continue (s, ()) => s
adamc@38 414
adamc@38 415 end
adamc@38 416
adamc@38 417 end