isl_union_map.c

   1 /*
   2  * Copyright 2010      INRIA Saclay
   3  *
   4  * Use of this software is governed by the GNU LGPLv2.1 license
   5  *
   6  * Written by Sven Verdoolaege, INRIA Saclay - Ile-de-France,
   7  * Parc Club Orsay Universite, ZAC des vignes, 4 rue Jacques Monod,
   8  * 91893 Orsay, France
   9  */
  10
  11 #include <isl_map_private.h>
  12 #include <isl/ctx.h>
  13 #include <isl/hash.h>
  14 #include <isl/map.h>
  15 #include <isl/set.h>
  16 #include <isl_dim_private.h>
  17 #include <isl_union_map_private.h>
  18 #include <isl/union_set.h>
  19
  20 static __isl_give isl_union_map *isl_union_map_alloc(__isl_take isl_dim *dim,
  21         int size)
  22 {
  23         isl_union_map *umap;
  24
  25         if (!dim)
  26                 return NULL;
  27
  28         umap = isl_calloc_type(dim->ctx, isl_union_map);
  29         if (!umap)
  30                 return NULL;
  31
  32         umap->ref = 1;
  33         umap->dim = dim;
  34         if (isl_hash_table_init(dim->ctx, &umap->table, size) < 0)
  35                 goto error;
  36
  37         return umap;
  38 error:
  39         isl_dim_free(dim);
  40         isl_union_map_free(umap);
  41         return NULL;
  42 }
  43
  44 __isl_give isl_union_map *isl_union_map_empty(__isl_take isl_dim *dim)
  45 {
  46         return isl_union_map_alloc(dim, 16);
  47 }
  48
  49 __isl_give isl_union_set *isl_union_set_empty(__isl_take isl_dim *dim)
  50 {
  51         return isl_union_map_empty(dim);
  52 }
  53
  54 isl_ctx *isl_union_map_get_ctx(__isl_keep isl_union_map *umap)
  55 {
  56         return umap ? umap->dim->ctx : NULL;
  57 }
  58
  59 isl_ctx *isl_union_set_get_ctx(__isl_keep isl_union_set *uset)
  60 {
  61         return uset ? uset->dim->ctx : NULL;
  62 }
  63
  64 __isl_give isl_dim *isl_union_map_get_dim(__isl_keep isl_union_map *umap)
  65 {
  66         if (!umap)
  67                 return NULL;
  68         return isl_dim_copy(umap->dim);
  69 }
  70
  71 __isl_give isl_dim *isl_union_set_get_dim(__isl_keep isl_union_set *uset)
  72 {
  73         return isl_union_map_get_dim(uset);
  74 }
  75
  76 static int free_umap_entry(void **entry, void *user)
  77 {
  78         isl_map *map = *entry;
  79         isl_map_free(map);
  80         return 0;
  81 }
  82
  83 static int add_map(__isl_take isl_map *map, void *user)
  84 {
  85         isl_union_map **umap = (isl_union_map **)user;
  86
  87         *umap = isl_union_map_add_map(*umap, map);
  88
  89         return 0;
  90 }
  91
  92 __isl_give isl_union_map *isl_union_map_dup(__isl_keep isl_union_map *umap)
  93 {
  94         isl_union_map *dup;
  95
  96         if (!umap)
  97                 return NULL;
  98
  99         dup = isl_union_map_empty(isl_dim_copy(umap->dim));
 100         if (isl_union_map_foreach_map(umap, &add_map, &dup) < 0)
 101                 goto error;
 102         return dup;
 103 error:
 104         isl_union_map_free(dup);
 105         return NULL;
 106 }
 107
 108 __isl_give isl_union_map *isl_union_map_cow(__isl_take isl_union_map *umap)
 109 {
 110         if (!umap)
 111                 return NULL;
 112
 113         if (umap->ref == 1)
 114                 return umap;
 115         umap->ref--;
 116         return isl_union_map_dup(umap);
 117 }
 118
 119 struct isl_union_align {
 120         isl_reordering *exp;
 121         isl_union_map *res;
 122 };
 123
 124 static int align_entry(void **entry, void *user)
 125 {
 126         isl_map *map = *entry;
 127         isl_reordering *exp;
 128         struct isl_union_align *data = user;
 129
 130         exp = isl_reordering_extend_dim(isl_reordering_copy(data->exp),
 131                                     isl_map_get_dim(map));
 132
 133         data->res = isl_union_map_add_map(data->res,
 134                                         isl_map_realign(isl_map_copy(map), exp));
 135
 136         return 0;
 137 }
 138
 139 /* Align the parameters of umap along those of model.
 140  * The result has the parameters of model first, in the same order
 141  * as they appear in model, followed by any remaining parameters of
 142  * umap that do not appear in model.
 143  */
 144 __isl_give isl_union_map *isl_union_map_align_params(
 145         __isl_take isl_union_map *umap, __isl_take isl_dim *model)
 146 {
 147         struct isl_union_align data = { NULL, NULL };
 148
 149         if (!umap || !model)
 150                 goto error;
 151
 152         if (isl_dim_match(umap->dim, isl_dim_param, model, isl_dim_param)) {
 153                 isl_dim_free(model);
 154                 return umap;
 155         }
 156
 157         data.exp = isl_parameter_alignment_reordering(umap->dim, model);
 158         if (!data.exp)
 159                 goto error;
 160
 161         data.res = isl_union_map_alloc(isl_dim_copy(data.exp->dim),
 162                                         umap->table.n);
 163         if (isl_hash_table_foreach(umap->dim->ctx, &umap->table,
 164                                         &align_entry, &data) < 0)
 165                 goto error;
 166
 167         isl_reordering_free(data.exp);
 168         isl_union_map_free(umap);
 169         isl_dim_free(model);
 170         return data.res;
 171 error:
 172         isl_reordering_free(data.exp);
 173         isl_union_map_free(umap);
 174         isl_union_map_free(data.res);
 175         isl_dim_free(model);
 176         return NULL;
 177 }
 178
 179 __isl_give isl_union_set *isl_union_set_align_params(
 180         __isl_take isl_union_set *uset, __isl_take isl_dim *model)
 181 {
 182         return isl_union_map_align_params(uset, model);
 183 }
 184
 185 __isl_give isl_union_map *isl_union_map_union(__isl_take isl_union_map *umap1,
 186         __isl_take isl_union_map *umap2)
 187 {
 188         umap1 = isl_union_map_align_params(umap1, isl_union_map_get_dim(umap2));
 189         umap2 = isl_union_map_align_params(umap2, isl_union_map_get_dim(umap1));
 190
 191         umap1 = isl_union_map_cow(umap1);
 192
 193         if (!umap1 || !umap2)
 194                 goto error;
 195
 196         if (isl_union_map_foreach_map(umap2, &add_map, &umap1) < 0)
 197                 goto error;
 198
 199         isl_union_map_free(umap2);
 200
 201         return umap1;
 202 error:
 203         isl_union_map_free(umap1);
 204         isl_union_map_free(umap2);
 205         return NULL;
 206 }
 207
 208 __isl_give isl_union_set *isl_union_set_union(__isl_take isl_union_set *uset1,
 209         __isl_take isl_union_set *uset2)
 210 {
 211         return isl_union_map_union(uset1, uset2);
 212 }
 213
 214 __isl_give isl_union_map *isl_union_map_copy(__isl_keep isl_union_map *umap)
 215 {
 216         if (!umap)
 217                 return NULL;
 218
 219         umap->ref++;
 220         return umap;
 221 }
 222
 223 __isl_give isl_union_set *isl_union_set_copy(__isl_keep isl_union_set *uset)
 224 {
 225         return isl_union_map_copy(uset);
 226 }
 227
 228 void isl_union_map_free(__isl_take isl_union_map *umap)
 229 {
 230         if (!umap)
 231                 return;
 232
 233         if (--umap->ref > 0)
 234                 return;
 235
 236         isl_hash_table_foreach(umap->dim->ctx, &umap->table,
 237                                &free_umap_entry, NULL);
 238         isl_hash_table_clear(&umap->table);
 239         isl_dim_free(umap->dim);
 240         free(umap);
 241 }
 242
 243 void isl_union_set_free(__isl_take isl_union_set *uset)
 244 {
 245         isl_union_map_free(uset);
 246 }
 247
 248 static int has_dim(const void *entry, const void *val)
 249 {
 250         isl_map *map = (isl_map *)entry;
 251         isl_dim *dim = (isl_dim *)val;
 252
 253         return isl_dim_equal(map->dim, dim);
 254 }
 255
 256 __isl_give isl_union_map *isl_union_map_add_map(__isl_take isl_union_map *umap,
 257         __isl_take isl_map *map)
 258 {
 259         uint32_t hash;
 260         struct isl_hash_table_entry *entry;
 261
 262         if (isl_map_fast_is_empty(map)) {
 263                 isl_map_free(map);
 264                 return umap;
 265         }
 266
 267         umap = isl_union_map_cow(umap);
 268
 269         if (!map || !umap)
 270                 goto error;
 271
 272         isl_assert(map->ctx, isl_dim_match(map->dim, isl_dim_param, umap->dim,
 273                                            isl_dim_param), goto error);
 274
 275         hash = isl_dim_get_hash(map->dim);
 276         entry = isl_hash_table_find(umap->dim->ctx, &umap->table, hash,
 277                                     &has_dim, map->dim, 1);
 278         if (!entry)
 279                 goto error;
 280
 281         if (!entry->data)
 282                 entry->data = map;
 283         else {
 284                 entry->data = isl_map_union(entry->data, isl_map_copy(map));
 285                 if (!entry->data)
 286                         goto error;
 287                 isl_map_free(map);
 288         }
 289
 290         return umap;
 291 error:
 292         isl_map_free(map);
 293         isl_union_map_free(umap);
 294         return NULL;
 295 }
 296
 297 __isl_give isl_union_set *isl_union_set_add_set(__isl_take isl_union_set *uset,
 298         __isl_take isl_set *set)
 299 {
 300         return isl_union_map_add_map(uset, (isl_map *)set);
 301 }
 302
 303 __isl_give isl_union_map *isl_union_map_from_map(__isl_take isl_map *map)
 304 {
 305         isl_dim *dim;
 306         isl_union_map *umap;
 307
 308         if (!map)
 309                 return NULL;
 310
 311         dim = isl_map_get_dim(map);
 312         dim = isl_dim_drop(dim, isl_dim_in, 0, isl_dim_size(dim, isl_dim_in));
 313         dim = isl_dim_drop(dim, isl_dim_out, 0, isl_dim_size(dim, isl_dim_out));
 314         umap = isl_union_map_empty(dim);
 315         umap = isl_union_map_add_map(umap, map);
 316
 317         return umap;
 318 }
 319
 320 __isl_give isl_union_set *isl_union_set_from_set(__isl_take isl_set *set)
 321 {
 322         return isl_union_map_from_map((isl_map *)set);
 323 }
 324
 325 struct isl_union_map_foreach_data
 326 {
 327         int (*fn)(__isl_take isl_map *map, void *user);
 328         void *user;
 329 };
 330
 331 static int call_on_copy(void **entry, void *user)
 332 {
 333         isl_map *map = *entry;
 334         struct isl_union_map_foreach_data *data;
 335         data = (struct isl_union_map_foreach_data *)user;
 336
 337         return data->fn(isl_map_copy(map), data->user);
 338 }
 339
 340 int isl_union_map_n_map(__isl_keep isl_union_map *umap)
 341 {
 342         return umap ? umap->table.n : 0;
 343 }
 344
 345 int isl_union_set_n_set(__isl_keep isl_union_set *uset)
 346 {
 347         return uset ? uset->table.n : 0;
 348 }
 349
 350 int isl_union_map_foreach_map(__isl_keep isl_union_map *umap,
 351         int (*fn)(__isl_take isl_map *map, void *user), void *user)
 352 {
 353         struct isl_union_map_foreach_data data = { fn, user };
 354
 355         if (!umap)
 356                 return -1;
 357
 358         return isl_hash_table_foreach(umap->dim->ctx, &umap->table,
 359                                       &call_on_copy, &data);
 360 }
 361
 362 static int copy_map(void **entry, void *user)
 363 {
 364         isl_map *map = *entry;
 365         isl_map **map_p = user;
 366
 367         *map_p = isl_map_copy(map);
 368
 369         return -1;
 370 }
 371
 372 __isl_give isl_map *isl_union_map_copy_map(__isl_keep isl_union_map *umap)
 373 {
 374         isl_map *map = NULL;
 375
 376         if (!umap || umap->table.n == 0)
 377                 return NULL;
 378
 379         isl_hash_table_foreach(umap->dim->ctx, &umap->table, &copy_map, &map);
 380
 381         return map;
 382 }
 383
 384 __isl_give isl_set *isl_union_set_copy_set(__isl_keep isl_union_set *uset)
 385 {
 386         return isl_union_map_copy_map(uset);
 387 }
 388
 389 __isl_give isl_map *isl_union_map_extract_map(__isl_keep isl_union_map *umap,
 390         __isl_take isl_dim *dim)
 391 {
 392         uint32_t hash;
 393         struct isl_hash_table_entry *entry;
 394
 395         if (!umap || !dim)
 396                 goto error;
 397
 398         hash = isl_dim_get_hash(dim);
 399         entry = isl_hash_table_find(umap->dim->ctx, &umap->table, hash,
 400                                     &has_dim, dim, 0);
 401         if (!entry)
 402                 return isl_map_empty(dim);
 403         isl_dim_free(dim);
 404         return isl_map_copy(entry->data);
 405 error:
 406         isl_dim_free(dim);
 407         return NULL;
 408 }
 409
 410 __isl_give isl_set *isl_union_set_extract_set(__isl_keep isl_union_set *uset,
 411         __isl_take isl_dim *dim)
 412 {
 413         return (isl_set *)isl_union_map_extract_map(uset, dim);
 414 }
 415
 416 /* Check if umap contains a map in the given space.
 417  */
 418 __isl_give int isl_union_map_contains(__isl_keep isl_union_map *umap,
 419         __isl_keep isl_dim *dim)
 420 {
 421         uint32_t hash;
 422         struct isl_hash_table_entry *entry;
 423
 424         if (!umap || !dim)
 425                 return -1;
 426
 427         hash = isl_dim_get_hash(dim);
 428         entry = isl_hash_table_find(umap->dim->ctx, &umap->table, hash,
 429                                     &has_dim, dim, 0);
 430         return !!entry;
 431 }
 432
 433 __isl_give int isl_union_set_contains(__isl_keep isl_union_set *uset,
 434         __isl_keep isl_dim *dim)
 435 {
 436         return isl_union_map_contains(uset, dim);
 437 }
 438
 439 int isl_union_set_foreach_set(__isl_keep isl_union_set *uset,
 440         int (*fn)(__isl_take isl_set *set, void *user), void *user)
 441 {
 442         return isl_union_map_foreach_map(uset,
 443                 (int(*)(__isl_take isl_map *, void*))fn, user);
 444 }
 445
 446 struct isl_union_set_foreach_point_data {
 447         int (*fn)(__isl_take isl_point *pnt, void *user);
 448         void *user;
 449 };
 450
 451 static int foreach_point(__isl_take isl_set *set, void *user)
 452 {
 453         struct isl_union_set_foreach_point_data *data = user;
 454         int r;
 455
 456         r = isl_set_foreach_point(set, data->fn, data->user);
 457         isl_set_free(set);
 458
 459         return r;
 460 }
 461
 462 int isl_union_set_foreach_point(__isl_keep isl_union_set *uset,
 463         int (*fn)(__isl_take isl_point *pnt, void *user), void *user)
 464 {
 465         struct isl_union_set_foreach_point_data data = { fn, user };
 466         return isl_union_set_foreach_set(uset, &foreach_point, &data);
 467 }
 468
 469 struct isl_union_map_gen_bin_data {
 470         isl_union_map *umap2;
 471         isl_union_map *res;
 472 };
 473
 474 static int subtract_entry(void **entry, void *user)
 475 {
 476         struct isl_union_map_gen_bin_data *data = user;
 477         uint32_t hash;
 478         struct isl_hash_table_entry *entry2;
 479         isl_map *map = *entry;
 480
 481         hash = isl_dim_get_hash(map->dim);
 482         entry2 = isl_hash_table_find(data->umap2->dim->ctx, &data->umap2->table,
 483                                      hash, &has_dim, map->dim, 0);
 484         map = isl_map_copy(map);
 485         if (entry2) {
 486                 int empty;
 487                 map = isl_map_subtract(map, isl_map_copy(entry2->data));
 488
 489                 empty = isl_map_is_empty(map);
 490                 if (empty < 0) {
 491                         isl_map_free(map);
 492                         return -1;
 493                 }
 494                 if (empty) {
 495                         isl_map_free(map);
 496                         return 0;
 497                 }
 498         }
 499         data->res = isl_union_map_add_map(data->res, map);
 500
 501         return 0;
 502 }
 503
 504 static __isl_give isl_union_map *gen_bin_op(__isl_take isl_union_map *umap1,
 505         __isl_take isl_union_map *umap2, int (*fn)(void **, void *))
 506 {
 507         struct isl_union_map_gen_bin_data data = { NULL, NULL };
 508
 509         umap1 = isl_union_map_align_params(umap1, isl_union_map_get_dim(umap2));
 510         umap2 = isl_union_map_align_params(umap2, isl_union_map_get_dim(umap1));
 511
 512         if (!umap1 || !umap2)
 513                 goto error;
 514
 515         data.umap2 = umap2;
 516         data.res = isl_union_map_alloc(isl_dim_copy(umap1->dim),
 517                                        umap1->table.n);
 518         if (isl_hash_table_foreach(umap1->dim->ctx, &umap1->table,
 519                                    fn, &data) < 0)
 520                 goto error;
 521
 522         isl_union_map_free(umap1);
 523         isl_union_map_free(umap2);
 524         return data.res;
 525 error:
 526         isl_union_map_free(umap1);
 527         isl_union_map_free(umap2);
 528         isl_union_map_free(data.res);
 529         return NULL;
 530 }
 531
 532 __isl_give isl_union_map *isl_union_map_subtract(
 533         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
 534 {
 535         return gen_bin_op(umap1, umap2, &subtract_entry);
 536 }
 537
 538 __isl_give isl_union_set *isl_union_set_subtract(
 539         __isl_take isl_union_set *uset1, __isl_take isl_union_set *uset2)
 540 {
 541         return isl_union_map_subtract(uset1, uset2);
 542 }
 543
 544 struct isl_union_map_match_bin_data {
 545         isl_union_map *umap2;
 546         isl_union_map *res;
 547         __isl_give isl_map *(*fn)(__isl_take isl_map*, __isl_take isl_map*);
 548 };
 549
 550 static int match_bin_entry(void **entry, void *user)
 551 {
 552         struct isl_union_map_match_bin_data *data = user;
 553         uint32_t hash;
 554         struct isl_hash_table_entry *entry2;
 555         isl_map *map = *entry;
 556         int empty;
 557
 558         hash = isl_dim_get_hash(map->dim);
 559         entry2 = isl_hash_table_find(data->umap2->dim->ctx, &data->umap2->table,
 560                                      hash, &has_dim, map->dim, 0);
 561         if (!entry2)
 562                 return 0;
 563
 564         map = isl_map_copy(map);
 565         map = data->fn(map, isl_map_copy(entry2->data));
 566
 567         empty = isl_map_is_empty(map);
 568         if (empty < 0) {
 569                 isl_map_free(map);
 570                 return -1;
 571         }
 572         if (empty) {
 573                 isl_map_free(map);
 574                 return 0;
 575         }
 576
 577         data->res = isl_union_map_add_map(data->res, map);
 578
 579         return 0;
 580 }
 581
 582 static __isl_give isl_union_map *match_bin_op(__isl_take isl_union_map *umap1,
 583         __isl_take isl_union_map *umap2,
 584         __isl_give isl_map *(*fn)(__isl_take isl_map*, __isl_take isl_map*))
 585 {
 586         struct isl_union_map_match_bin_data data = { NULL, NULL, fn };
 587
 588         umap1 = isl_union_map_align_params(umap1, isl_union_map_get_dim(umap2));
 589         umap2 = isl_union_map_align_params(umap2, isl_union_map_get_dim(umap1));
 590
 591         if (!umap1 || !umap2)
 592                 goto error;
 593
 594         data.umap2 = umap2;
 595         data.res = isl_union_map_alloc(isl_dim_copy(umap1->dim),
 596                                        umap1->table.n);
 597         if (isl_hash_table_foreach(umap1->dim->ctx, &umap1->table,
 598                                    &match_bin_entry, &data) < 0)
 599                 goto error;
 600
 601         isl_union_map_free(umap1);
 602         isl_union_map_free(umap2);
 603         return data.res;
 604 error:
 605         isl_union_map_free(umap1);
 606         isl_union_map_free(umap2);
 607         isl_union_map_free(data.res);
 608         return NULL;
 609 }
 610
 611 __isl_give isl_union_map *isl_union_map_intersect(
 612         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
 613 {
 614         return match_bin_op(umap1, umap2, &isl_map_intersect);
 615 }
 616
 617 __isl_give isl_union_set *isl_union_set_intersect(
 618         __isl_take isl_union_set *uset1, __isl_take isl_union_set *uset2)
 619 {
 620         return isl_union_map_intersect(uset1, uset2);
 621 }
 622
 623 __isl_give isl_union_map *isl_union_map_gist(__isl_take isl_union_map *umap,
 624         __isl_take isl_union_map *context)
 625 {
 626         return match_bin_op(umap, context, &isl_map_gist);
 627 }
 628
 629 __isl_give isl_union_set *isl_union_set_gist(__isl_take isl_union_set *uset,
 630         __isl_take isl_union_set *context)
 631 {
 632         return isl_union_map_gist(uset, context);
 633 }
 634
 635 static __isl_give isl_map *lex_le_set(__isl_take isl_map *set1,
 636         __isl_take isl_map *set2)
 637 {
 638         return isl_set_lex_le_set((isl_set *)set1, (isl_set *)set2);
 639 }
 640
 641 static __isl_give isl_map *lex_lt_set(__isl_take isl_map *set1,
 642         __isl_take isl_map *set2)
 643 {
 644         return isl_set_lex_lt_set((isl_set *)set1, (isl_set *)set2);
 645 }
 646
 647 __isl_give isl_union_map *isl_union_set_lex_lt_union_set(
 648         __isl_take isl_union_set *uset1, __isl_take isl_union_set *uset2)
 649 {
 650         return match_bin_op(uset1, uset2, &lex_lt_set);
 651 }
 652
 653 __isl_give isl_union_map *isl_union_set_lex_le_union_set(
 654         __isl_take isl_union_set *uset1, __isl_take isl_union_set *uset2)
 655 {
 656         return match_bin_op(uset1, uset2, &lex_le_set);
 657 }
 658
 659 __isl_give isl_union_map *isl_union_set_lex_gt_union_set(
 660         __isl_take isl_union_set *uset1, __isl_take isl_union_set *uset2)
 661 {
 662         return isl_union_map_reverse(isl_union_set_lex_lt_union_set(uset2, uset1));
 663 }
 664
 665 __isl_give isl_union_map *isl_union_set_lex_ge_union_set(
 666         __isl_take isl_union_set *uset1, __isl_take isl_union_set *uset2)
 667 {
 668         return isl_union_map_reverse(isl_union_set_lex_le_union_set(uset2, uset1));
 669 }
 670
 671 __isl_give isl_union_map *isl_union_map_lex_gt_union_map(
 672         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
 673 {
 674         return isl_union_map_reverse(isl_union_map_lex_lt_union_map(umap2, umap1));
 675 }
 676
 677 __isl_give isl_union_map *isl_union_map_lex_ge_union_map(
 678         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
 679 {
 680         return isl_union_map_reverse(isl_union_map_lex_le_union_map(umap2, umap1));
 681 }
 682
 683 static int intersect_domain_entry(void **entry, void *user)
 684 {
 685         struct isl_union_map_gen_bin_data *data = user;
 686         uint32_t hash;
 687         struct isl_hash_table_entry *entry2;
 688         isl_dim *dim;
 689         isl_map *map = *entry;
 690         int empty;
 691
 692         dim = isl_map_get_dim(map);
 693         dim = isl_dim_domain(dim);
 694         hash = isl_dim_get_hash(dim);
 695         entry2 = isl_hash_table_find(data->umap2->dim->ctx, &data->umap2->table,
 696                                      hash, &has_dim, dim, 0);
 697         isl_dim_free(dim);
 698         if (!entry2)
 699                 return 0;
 700
 701         map = isl_map_copy(map);
 702         map = isl_map_intersect_domain(map, isl_set_copy(entry2->data));
 703
 704         empty = isl_map_is_empty(map);
 705         if (empty < 0) {
 706                 isl_map_free(map);
 707                 return -1;
 708         }
 709         if (empty) {
 710                 isl_map_free(map);
 711                 return 0;
 712         }
 713
 714         data->res = isl_union_map_add_map(data->res, map);
 715
 716         return 0;
 717 }
 718
 719 __isl_give isl_union_map *isl_union_map_intersect_domain(
 720         __isl_take isl_union_map *umap, __isl_take isl_union_set *uset)
 721 {
 722         return gen_bin_op(umap, uset, &intersect_domain_entry);
 723 }
 724
 725 static int intersect_range_entry(void **entry, void *user)
 726 {
 727         struct isl_union_map_gen_bin_data *data = user;
 728         uint32_t hash;
 729         struct isl_hash_table_entry *entry2;
 730         isl_dim *dim;
 731         isl_map *map = *entry;
 732         int empty;
 733
 734         dim = isl_map_get_dim(map);
 735         dim = isl_dim_range(dim);
 736         hash = isl_dim_get_hash(dim);
 737         entry2 = isl_hash_table_find(data->umap2->dim->ctx, &data->umap2->table,
 738                                      hash, &has_dim, dim, 0);
 739         isl_dim_free(dim);
 740         if (!entry2)
 741                 return 0;
 742
 743         map = isl_map_copy(map);
 744         map = isl_map_intersect_range(map, isl_set_copy(entry2->data));
 745
 746         empty = isl_map_is_empty(map);
 747         if (empty < 0) {
 748                 isl_map_free(map);
 749                 return -1;
 750         }
 751         if (empty) {
 752                 isl_map_free(map);
 753                 return 0;
 754         }
 755
 756         data->res = isl_union_map_add_map(data->res, map);
 757
 758         return 0;
 759 }
 760
 761 __isl_give isl_union_map *isl_union_map_intersect_range(
 762         __isl_take isl_union_map *umap, __isl_take isl_union_set *uset)
 763 {
 764         return gen_bin_op(umap, uset, &intersect_range_entry);
 765 }
 766
 767 struct isl_union_map_bin_data {
 768         isl_union_map *umap2;
 769         isl_union_map *res;
 770         isl_map *map;
 771         int (*fn)(void **entry, void *user);
 772 };
 773
 774 static int apply_range_entry(void **entry, void *user)
 775 {
 776         struct isl_union_map_bin_data *data = user;
 777         isl_map *map2 = *entry;
 778         int empty;
 779
 780         if (!isl_dim_tuple_match(data->map->dim, isl_dim_out,
 781                                  map2->dim, isl_dim_in))
 782                 return 0;
 783
 784         map2 = isl_map_apply_range(isl_map_copy(data->map), isl_map_copy(map2));
 785
 786         empty = isl_map_is_empty(map2);
 787         if (empty < 0) {
 788                 isl_map_free(map2);
 789                 return -1;
 790         }
 791         if (empty) {
 792                 isl_map_free(map2);
 793                 return 0;
 794         }
 795
 796         data->res = isl_union_map_add_map(data->res, map2);
 797
 798         return 0;
 799 }
 800
 801 static int bin_entry(void **entry, void *user)
 802 {
 803         struct isl_union_map_bin_data *data = user;
 804         isl_map *map = *entry;
 805
 806         data->map = map;
 807         if (isl_hash_table_foreach(data->umap2->dim->ctx, &data->umap2->table,
 808                                    data->fn, data) < 0)
 809                 return -1;
 810
 811         return 0;
 812 }
 813
 814 static __isl_give isl_union_map *bin_op(__isl_take isl_union_map *umap1,
 815         __isl_take isl_union_map *umap2, int (*fn)(void **entry, void *user))
 816 {
 817         struct isl_union_map_bin_data data = { NULL, NULL, NULL, fn };
 818
 819         umap1 = isl_union_map_align_params(umap1, isl_union_map_get_dim(umap2));
 820         umap2 = isl_union_map_align_params(umap2, isl_union_map_get_dim(umap1));
 821
 822         if (!umap1 || !umap2)
 823                 goto error;
 824
 825         data.umap2 = umap2;
 826         data.res = isl_union_map_alloc(isl_dim_copy(umap1->dim),
 827                                        umap1->table.n);
 828         if (isl_hash_table_foreach(umap1->dim->ctx, &umap1->table,
 829                                    &bin_entry, &data) < 0)
 830                 goto error;
 831
 832         isl_union_map_free(umap1);
 833         isl_union_map_free(umap2);
 834         return data.res;
 835 error:
 836         isl_union_map_free(umap1);
 837         isl_union_map_free(umap2);
 838         isl_union_map_free(data.res);
 839         return NULL;
 840 }
 841
 842 __isl_give isl_union_map *isl_union_map_apply_range(
 843         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
 844 {
 845         return bin_op(umap1, umap2, &apply_range_entry);
 846 }
 847
 848 __isl_give isl_union_map *isl_union_map_apply_domain(
 849         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
 850 {
 851         umap1 = isl_union_map_reverse(umap1);
 852         umap1 = isl_union_map_apply_range(umap1, umap2);
 853         return isl_union_map_reverse(umap1);
 854 }
 855
 856 __isl_give isl_union_set *isl_union_set_apply(
 857         __isl_take isl_union_set *uset, __isl_take isl_union_map *umap)
 858 {
 859         return isl_union_map_apply_range(uset, umap);
 860 }
 861
 862 static int map_lex_lt_entry(void **entry, void *user)
 863 {
 864         struct isl_union_map_bin_data *data = user;
 865         isl_map *map2 = *entry;
 866
 867         if (!isl_dim_tuple_match(data->map->dim, isl_dim_out,
 868                                  map2->dim, isl_dim_out))
 869                 return 0;
 870
 871         map2 = isl_map_lex_lt_map(isl_map_copy(data->map), isl_map_copy(map2));
 872
 873         data->res = isl_union_map_add_map(data->res, map2);
 874
 875         return 0;
 876 }
 877
 878 __isl_give isl_union_map *isl_union_map_lex_lt_union_map(
 879         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
 880 {
 881         return bin_op(umap1, umap2, &map_lex_lt_entry);
 882 }
 883
 884 static int map_lex_le_entry(void **entry, void *user)
 885 {
 886         struct isl_union_map_bin_data *data = user;
 887         isl_map *map2 = *entry;
 888
 889         if (!isl_dim_tuple_match(data->map->dim, isl_dim_out,
 890                                  map2->dim, isl_dim_out))
 891                 return 0;
 892
 893         map2 = isl_map_lex_le_map(isl_map_copy(data->map), isl_map_copy(map2));
 894
 895         data->res = isl_union_map_add_map(data->res, map2);
 896
 897         return 0;
 898 }
 899
 900 __isl_give isl_union_map *isl_union_map_lex_le_union_map(
 901         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
 902 {
 903         return bin_op(umap1, umap2, &map_lex_le_entry);
 904 }
 905
 906 static int product_entry(void **entry, void *user)
 907 {
 908         struct isl_union_map_bin_data *data = user;
 909         isl_map *map2 = *entry;
 910
 911         map2 = isl_map_product(isl_map_copy(data->map), isl_map_copy(map2));
 912
 913         data->res = isl_union_map_add_map(data->res, map2);
 914
 915         return 0;
 916 }
 917
 918 __isl_give isl_union_map *isl_union_map_product(__isl_take isl_union_map *umap1,
 919         __isl_take isl_union_map *umap2)
 920 {
 921         return bin_op(umap1, umap2, &product_entry);
 922 }
 923
 924 __isl_give isl_union_set *isl_union_set_product(__isl_take isl_union_set *uset1,
 925         __isl_take isl_union_set *uset2)
 926 {
 927         return isl_union_map_product(uset1, uset2);
 928 }
 929
 930 static int range_product_entry(void **entry, void *user)
 931 {
 932         struct isl_union_map_bin_data *data = user;
 933         isl_map *map2 = *entry;
 934
 935         map2 = isl_map_range_product(isl_map_copy(data->map),
 936                                      isl_map_copy(map2));
 937
 938         data->res = isl_union_map_add_map(data->res, map2);
 939
 940         return 0;
 941 }
 942
 943 __isl_give isl_union_map *isl_union_map_range_product(
 944         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
 945 {
 946         return bin_op(umap1, umap2, &range_product_entry);
 947 }
 948
 949 __isl_give isl_union_map *isl_union_map_from_range(
 950         __isl_take isl_union_set *uset)
 951 {
 952         return uset;
 953 }
 954
 955 __isl_give isl_union_map *isl_union_map_from_domain(
 956         __isl_take isl_union_set *uset)
 957 {
 958         return isl_union_map_reverse(isl_union_map_from_range(uset));
 959 }
 960
 961 __isl_give isl_union_map *isl_union_map_from_domain_and_range(
 962         __isl_take isl_union_set *domain, __isl_take isl_union_set *range)
 963 {
 964         return isl_union_map_apply_range(isl_union_map_from_domain(domain),
 965                                          isl_union_map_from_range(range));
 966 }
 967
 968 static __isl_give isl_union_map *un_op(__isl_take isl_union_map *umap,
 969         int (*fn)(void **, void *))
 970 {
 971         umap = isl_union_map_cow(umap);
 972         if (!umap)
 973                 return NULL;
 974
 975         if (isl_hash_table_foreach(umap->dim->ctx, &umap->table, fn, NULL) < 0)
 976                 goto error;
 977
 978         return umap;
 979 error:
 980         isl_union_map_free(umap);
 981         return NULL;
 982 }
 983
 984 static int affine_entry(void **entry, void *user)
 985 {
 986         isl_map **map = (isl_map **)entry;
 987
 988         *map = isl_map_from_basic_map(isl_map_affine_hull(*map));
 989
 990         return *map ? 0 : -1;
 991 }
 992
 993 __isl_give isl_union_map *isl_union_map_affine_hull(
 994         __isl_take isl_union_map *umap)
 995 {
 996         return un_op(umap, &affine_entry);
 997 }
 998
 999 __isl_give isl_union_set *isl_union_set_affine_hull(
1000         __isl_take isl_union_set *uset)
1001 {
1002         return isl_union_map_affine_hull(uset);
1003 }
1004
1005 static int polyhedral_entry(void **entry, void *user)
1006 {
1007         isl_map **map = (isl_map **)entry;
1008
1009         *map = isl_map_from_basic_map(isl_map_polyhedral_hull(*map));
1010
1011         return *map ? 0 : -1;
1012 }
1013
1014 __isl_give isl_union_map *isl_union_map_polyhedral_hull(
1015         __isl_take isl_union_map *umap)
1016 {
1017         return un_op(umap, &polyhedral_entry);
1018 }
1019
1020 __isl_give isl_union_set *isl_union_set_polyhedral_hull(
1021         __isl_take isl_union_set *uset)
1022 {
1023         return isl_union_map_polyhedral_hull(uset);
1024 }
1025
1026 static int simple_entry(void **entry, void *user)
1027 {
1028         isl_map **map = (isl_map **)entry;
1029
1030         *map = isl_map_from_basic_map(isl_map_simple_hull(*map));
1031
1032         return *map ? 0 : -1;
1033 }
1034
1035 __isl_give isl_union_map *isl_union_map_simple_hull(
1036         __isl_take isl_union_map *umap)
1037 {
1038         return un_op(umap, &simple_entry);
1039 }
1040
1041 __isl_give isl_union_set *isl_union_set_simple_hull(
1042         __isl_take isl_union_set *uset)
1043 {
1044         return isl_union_map_simple_hull(uset);
1045 }
1046
1047 static int inplace_entry(void **entry, void *user)
1048 {
1049         __isl_give isl_map *(*fn)(__isl_take isl_map *);
1050         isl_map **map = (isl_map **)entry;
1051         isl_map *copy;
1052
1053         fn = *(__isl_give isl_map *(**)(__isl_take isl_map *)) user;
1054         copy = fn(isl_map_copy(*map));
1055         if (!copy)
1056                 return -1;
1057
1058         isl_map_free(*map);
1059         *map = copy;
1060
1061         return 0;
1062 }
1063
1064 static __isl_give isl_union_map *inplace(__isl_take isl_union_map *umap,
1065         __isl_give isl_map *(*fn)(__isl_take isl_map *))
1066 {
1067         if (!umap)
1068                 return NULL;
1069
1070         if (isl_hash_table_foreach(umap->dim->ctx, &umap->table,
1071                                     &inplace_entry, &fn) < 0)
1072                 goto error;
1073
1074         return umap;
1075 error:
1076         isl_union_map_free(umap);
1077         return NULL;
1078 }
1079
1080 __isl_give isl_union_map *isl_union_map_coalesce(
1081         __isl_take isl_union_map *umap)
1082 {
1083         return inplace(umap, &isl_map_coalesce);
1084 }
1085
1086 __isl_give isl_union_set *isl_union_set_coalesce(
1087         __isl_take isl_union_set *uset)
1088 {
1089         return isl_union_map_coalesce(uset);
1090 }
1091
1092 __isl_give isl_union_map *isl_union_map_detect_equalities(
1093         __isl_take isl_union_map *umap)
1094 {
1095         return inplace(umap, &isl_map_detect_equalities);
1096 }
1097
1098 __isl_give isl_union_set *isl_union_set_detect_equalities(
1099         __isl_take isl_union_set *uset)
1100 {
1101         return isl_union_map_detect_equalities(uset);
1102 }
1103
1104 __isl_give isl_union_map *isl_union_map_compute_divs(
1105         __isl_take isl_union_map *umap)
1106 {
1107         return inplace(umap, &isl_map_compute_divs);
1108 }
1109
1110 __isl_give isl_union_set *isl_union_set_compute_divs(
1111         __isl_take isl_union_set *uset)
1112 {
1113         return isl_union_map_compute_divs(uset);
1114 }
1115
1116 static int lexmin_entry(void **entry, void *user)
1117 {
1118         isl_map **map = (isl_map **)entry;
1119
1120         *map = isl_map_lexmin(*map);
1121
1122         return *map ? 0 : -1;
1123 }
1124
1125 __isl_give isl_union_map *isl_union_map_lexmin(
1126         __isl_take isl_union_map *umap)
1127 {
1128         return un_op(umap, &lexmin_entry);
1129 }
1130
1131 __isl_give isl_union_set *isl_union_set_lexmin(
1132         __isl_take isl_union_set *uset)
1133 {
1134         return isl_union_map_lexmin(uset);
1135 }
1136
1137 static int lexmax_entry(void **entry, void *user)
1138 {
1139         isl_map **map = (isl_map **)entry;
1140
1141         *map = isl_map_lexmax(*map);
1142
1143         return *map ? 0 : -1;
1144 }
1145
1146 __isl_give isl_union_map *isl_union_map_lexmax(
1147         __isl_take isl_union_map *umap)
1148 {
1149         return un_op(umap, &lexmax_entry);
1150 }
1151
1152 __isl_give isl_union_set *isl_union_set_lexmax(
1153         __isl_take isl_union_set *uset)
1154 {
1155         return isl_union_map_lexmax(uset);
1156 }
1157
1158 static __isl_give isl_union_set *cond_un_op(__isl_take isl_union_map *umap,
1159         int (*fn)(void **, void *))
1160 {
1161         isl_union_set *res;
1162
1163         if (!umap)
1164                 return NULL;
1165
1166         res = isl_union_map_alloc(isl_dim_copy(umap->dim), umap->table.n);
1167         if (isl_hash_table_foreach(umap->dim->ctx, &umap->table, fn, &res) < 0)
1168                 goto error;
1169
1170         isl_union_map_free(umap);
1171         return res;
1172 error:
1173         isl_union_map_free(umap);
1174         isl_union_set_free(res);
1175         return NULL;
1176 }
1177
1178 static int reverse_entry(void **entry, void *user)
1179 {
1180         isl_map *map = *entry;
1181         isl_union_map **res = user;
1182
1183         *res = isl_union_map_add_map(*res, isl_map_reverse(isl_map_copy(map)));
1184
1185         return 0;
1186 }
1187
1188 __isl_give isl_union_map *isl_union_map_reverse(__isl_take isl_union_map *umap)
1189 {
1190         return cond_un_op(umap, &reverse_entry);
1191 }
1192
1193 static int domain_entry(void **entry, void *user)
1194 {
1195         isl_map *map = *entry;
1196         isl_union_set **res = user;
1197
1198         *res = isl_union_set_add_set(*res, isl_map_domain(isl_map_copy(map)));
1199
1200         return 0;
1201 }
1202
1203 __isl_give isl_union_set *isl_union_map_domain(__isl_take isl_union_map *umap)
1204 {
1205         return cond_un_op(umap, &domain_entry);
1206 }
1207
1208 static int range_entry(void **entry, void *user)
1209 {
1210         isl_map *map = *entry;
1211         isl_union_set **res = user;
1212
1213         *res = isl_union_set_add_set(*res, isl_map_range(isl_map_copy(map)));
1214
1215         return 0;
1216 }
1217
1218 __isl_give isl_union_set *isl_union_map_range(__isl_take isl_union_map *umap)
1219 {
1220         return cond_un_op(umap, &range_entry);
1221 }
1222
1223 static int domain_map_entry(void **entry, void *user)
1224 {
1225         isl_map *map = *entry;
1226         isl_union_set **res = user;
1227
1228         *res = isl_union_map_add_map(*res,
1229                                         isl_map_domain_map(isl_map_copy(map)));
1230
1231         return 0;
1232 }
1233
1234 __isl_give isl_union_map *isl_union_map_domain_map(
1235         __isl_take isl_union_map *umap)
1236 {
1237         return cond_un_op(umap, &domain_map_entry);
1238 }
1239
1240 static int range_map_entry(void **entry, void *user)
1241 {
1242         isl_map *map = *entry;
1243         isl_union_set **res = user;
1244
1245         *res = isl_union_map_add_map(*res,
1246                                         isl_map_range_map(isl_map_copy(map)));
1247
1248         return 0;
1249 }
1250
1251 __isl_give isl_union_map *isl_union_map_range_map(
1252         __isl_take isl_union_map *umap)
1253 {
1254         return cond_un_op(umap, &range_map_entry);
1255 }
1256
1257 static int deltas_entry(void **entry, void *user)
1258 {
1259         isl_map *map = *entry;
1260         isl_union_set **res = user;
1261
1262         if (!isl_dim_tuple_match(map->dim, isl_dim_in, map->dim, isl_dim_out))
1263                 return 0;
1264
1265         *res = isl_union_set_add_set(*res, isl_map_deltas(isl_map_copy(map)));
1266
1267         return 0;
1268 }
1269
1270 __isl_give isl_union_set *isl_union_map_deltas(__isl_take isl_union_map *umap)
1271 {
1272         return cond_un_op(umap, &deltas_entry);
1273 }
1274
1275 static int deltas_map_entry(void **entry, void *user)
1276 {
1277         isl_map *map = *entry;
1278         isl_union_map **res = user;
1279
1280         if (!isl_dim_tuple_match(map->dim, isl_dim_in, map->dim, isl_dim_out))
1281                 return 0;
1282
1283         *res = isl_union_map_add_map(*res,
1284                                      isl_map_deltas_map(isl_map_copy(map)));
1285
1286         return 0;
1287 }
1288
1289 __isl_give isl_union_map *isl_union_map_deltas_map(
1290         __isl_take isl_union_map *umap)
1291 {
1292         return cond_un_op(umap, &deltas_map_entry);
1293 }
1294
1295 static int identity_entry(void **entry, void *user)
1296 {
1297         isl_set *set = *entry;
1298         isl_union_map **res = user;
1299
1300         *res = isl_union_map_add_map(*res, isl_set_identity(isl_set_copy(set)));
1301
1302         return 0;
1303 }
1304
1305 __isl_give isl_union_map *isl_union_set_identity(__isl_take isl_union_set *uset)
1306 {
1307         return cond_un_op(uset, &identity_entry);
1308 }
1309
1310 static int unwrap_entry(void **entry, void *user)
1311 {
1312         isl_set *set = *entry;
1313         isl_union_set **res = user;
1314
1315         if (!isl_set_is_wrapping(set))
1316                 return 0;
1317
1318         *res = isl_union_map_add_map(*res, isl_set_unwrap(isl_set_copy(set)));
1319
1320         return 0;
1321 }
1322
1323 __isl_give isl_union_map *isl_union_set_unwrap(__isl_take isl_union_set *uset)
1324 {
1325         return cond_un_op(uset, &unwrap_entry);
1326 }
1327
1328 static int wrap_entry(void **entry, void *user)
1329 {
1330         isl_map *map = *entry;
1331         isl_union_set **res = user;
1332
1333         *res = isl_union_set_add_set(*res, isl_map_wrap(isl_map_copy(map)));
1334
1335         return 0;
1336 }
1337
1338 __isl_give isl_union_set *isl_union_map_wrap(__isl_take isl_union_map *umap)
1339 {
1340         return cond_un_op(umap, &wrap_entry);
1341 }
1342
1343 struct isl_union_map_is_subset_data {
1344         isl_union_map *umap2;
1345         int is_subset;
1346 };
1347
1348 static int is_subset_entry(void **entry, void *user)
1349 {
1350         struct isl_union_map_is_subset_data *data = user;
1351         uint32_t hash;
1352         struct isl_hash_table_entry *entry2;
1353         isl_map *map = *entry;
1354
1355         hash = isl_dim_get_hash(map->dim);
1356         entry2 = isl_hash_table_find(data->umap2->dim->ctx, &data->umap2->table,
1357                                      hash, &has_dim, map->dim, 0);
1358         if (!entry2) {
1359                 data->is_subset = 0;
1360                 return -1;
1361         }
1362
1363         data->is_subset = isl_map_is_subset(map, entry2->data);
1364         if (data->is_subset < 0 || !data->is_subset)
1365                 return -1;
1366
1367         return 0;
1368 }
1369
1370 int isl_union_map_is_subset(__isl_keep isl_union_map *umap1,
1371         __isl_keep isl_union_map *umap2)
1372 {
1373         struct isl_union_map_is_subset_data data = { NULL, 1 };
1374
1375         umap1 = isl_union_map_copy(umap1);
1376         umap2 = isl_union_map_copy(umap2);
1377         umap1 = isl_union_map_align_params(umap1, isl_union_map_get_dim(umap2));
1378         umap2 = isl_union_map_align_params(umap2, isl_union_map_get_dim(umap1));
1379
1380         if (!umap1 || !umap2)
1381                 goto error;
1382
1383         data.umap2 = umap2;
1384         if (isl_hash_table_foreach(umap1->dim->ctx, &umap1->table,
1385                                    &is_subset_entry, &data) < 0 &&
1386             data.is_subset)
1387                 goto error;
1388
1389         isl_union_map_free(umap1);
1390         isl_union_map_free(umap2);
1391
1392         return data.is_subset;
1393 error:
1394         isl_union_map_free(umap1);
1395         isl_union_map_free(umap2);
1396         return -1;
1397 }
1398
1399 int isl_union_set_is_subset(__isl_keep isl_union_set *uset1,
1400         __isl_keep isl_union_set *uset2)
1401 {
1402         return isl_union_map_is_subset(uset1, uset2);
1403 }
1404
1405 int isl_union_map_is_equal(__isl_keep isl_union_map *umap1,
1406         __isl_keep isl_union_map *umap2)
1407 {
1408         int is_subset;
1409
1410         if (!umap1 || !umap2)
1411                 return -1;
1412         is_subset = isl_union_map_is_subset(umap1, umap2);
1413         if (is_subset != 1)
1414                 return is_subset;
1415         is_subset = isl_union_map_is_subset(umap2, umap1);
1416         return is_subset;
1417 }
1418
1419 int isl_union_set_is_equal(__isl_keep isl_union_set *uset1,
1420         __isl_keep isl_union_set *uset2)
1421 {
1422         return isl_union_map_is_equal(uset1, uset2);
1423 }
1424
1425 int isl_union_map_is_strict_subset(__isl_keep isl_union_map *umap1,
1426         __isl_keep isl_union_map *umap2)
1427 {
1428         int is_subset;
1429
1430         if (!umap1 || !umap2)
1431                 return -1;
1432         is_subset = isl_union_map_is_subset(umap1, umap2);
1433         if (is_subset != 1)
1434                 return is_subset;
1435         is_subset = isl_union_map_is_subset(umap2, umap1);
1436         if (is_subset == -1)
1437                 return is_subset;
1438         return !is_subset;
1439 }
1440
1441 int isl_union_set_is_strict_subset(__isl_keep isl_union_set *uset1,
1442         __isl_keep isl_union_set *uset2)
1443 {
1444         return isl_union_map_is_strict_subset(uset1, uset2);
1445 }
1446
1447 static int sample_entry(void **entry, void *user)
1448 {
1449         isl_basic_map **sample = (isl_basic_map **)user;
1450         isl_map *map = *entry;
1451
1452         *sample = isl_map_sample(isl_map_copy(map));
1453         if (!*sample)
1454                 return -1;
1455         if (!isl_basic_map_fast_is_empty(*sample))
1456                 return -1;
1457         return 0;
1458 }
1459
1460 __isl_give isl_basic_map *isl_union_map_sample(__isl_take isl_union_map *umap)
1461 {
1462         isl_basic_map *sample = NULL;
1463
1464         if (!umap)
1465                 return NULL;
1466
1467         if (isl_hash_table_foreach(umap->dim->ctx, &umap->table,
1468                                    &sample_entry, &sample) < 0 &&
1469             !sample)
1470                 goto error;
1471
1472         if (!sample)
1473                 sample = isl_basic_map_empty(isl_union_map_get_dim(umap));
1474
1475         isl_union_map_free(umap);
1476
1477         return sample;
1478 error:
1479         isl_union_map_free(umap);
1480         return NULL;
1481 }
1482
1483 __isl_give isl_basic_set *isl_union_set_sample(__isl_take isl_union_set *uset)
1484 {
1485         return (isl_basic_set *)isl_union_map_sample(uset);
1486 }
1487
1488 struct isl_forall_data {
1489         int res;
1490         int (*fn)(__isl_keep isl_map *map);
1491 };
1492
1493 static int forall_entry(void **entry, void *user)
1494 {
1495         struct isl_forall_data *data = user;
1496         isl_map *map = *entry;
1497
1498         data->res = data->fn(map);
1499         if (data->res < 0)
1500                 return -1;
1501
1502         if (!data->res)
1503                 return -1;
1504
1505         return 0;
1506 }
1507
1508 static int union_map_forall(__isl_keep isl_union_map *umap,
1509         int (*fn)(__isl_keep isl_map *map))
1510 {
1511         struct isl_forall_data data = { 1, fn };
1512
1513         if (!umap)
1514                 return -1;
1515
1516         if (isl_hash_table_foreach(umap->dim->ctx, &umap->table,
1517                                    &forall_entry, &data) < 0 && data.res)
1518                 return -1;
1519
1520         return data.res;
1521 }
1522
1523 int isl_union_map_is_empty(__isl_keep isl_union_map *umap)
1524 {
1525         return union_map_forall(umap, &isl_map_is_empty);
1526 }
1527
1528 int isl_union_set_is_empty(__isl_keep isl_union_set *uset)
1529 {
1530         return isl_union_map_is_empty(uset);
1531 }
1532
1533 static int is_subset_of_identity(__isl_keep isl_map *map)
1534 {
1535         int is_subset;
1536         isl_dim *dim;
1537         isl_map *id;
1538
1539         if (!map)
1540                 return -1;
1541
1542         if (!isl_dim_tuple_match(map->dim, isl_dim_in, map->dim, isl_dim_out))
1543                 return 0;
1544
1545         dim = isl_map_get_dim(map);
1546         id = isl_map_identity(dim);
1547
1548         is_subset = isl_map_is_subset(map, id);
1549
1550         isl_map_free(id);
1551
1552         return is_subset;
1553 }
1554
1555 /* Check if the given map is single-valued.
1556  * We simply compute
1557  *
1558  *      M \circ M^-1
1559  *
1560  * and check if the result is a subset of the identity mapping.
1561  */
1562 int isl_union_map_is_single_valued(__isl_keep isl_union_map *umap)
1563 {
1564         isl_union_map *test;
1565         int sv;
1566
1567         if (isl_union_map_n_map(umap) == 1) {
1568                 isl_map *map = isl_union_map_copy_map(umap);
1569                 sv = isl_map_is_single_valued(map);
1570                 isl_map_free(map);
1571                 return sv;
1572         }
1573
1574         test = isl_union_map_reverse(isl_union_map_copy(umap));
1575         test = isl_union_map_apply_range(test, isl_union_map_copy(umap));
1576
1577         sv = union_map_forall(test, &is_subset_of_identity);
1578
1579         isl_union_map_free(test);
1580
1581         return sv;
1582 }
1583
1584 int isl_union_map_is_injective(__isl_keep isl_union_map *umap)
1585 {
1586         int in;
1587
1588         umap = isl_union_map_copy(umap);
1589         umap = isl_union_map_reverse(umap);
1590         in = isl_union_map_is_single_valued(umap);
1591         isl_union_map_free(umap);
1592
1593         return in;
1594 }
1595
1596 int isl_union_map_is_bijective(__isl_keep isl_union_map *umap)
1597 {
1598         int sv;
1599
1600         sv = isl_union_map_is_single_valued(umap);
1601         if (sv < 0 || !sv)
1602                 return sv;
1603
1604         return isl_union_map_is_injective(umap);
1605 }
1606
1607 static int zip_entry(void **entry, void *user)
1608 {
1609         isl_map *map = *entry;
1610         isl_union_map **res = user;
1611
1612         if (!isl_map_can_zip(map))
1613                 return 0;
1614
1615         *res = isl_union_map_add_map(*res, isl_map_zip(isl_map_copy(map)));
1616
1617         return 0;
1618 }
1619
1620 __isl_give isl_union_map *isl_union_map_zip(__isl_take isl_union_map *umap)
1621 {
1622         return cond_un_op(umap, &zip_entry);
1623 }
1624
1625 static int lift_entry(void **entry, void *user)
1626 {
1627         isl_set *set = *entry;
1628         isl_union_set **res = user;
1629
1630         *res = isl_union_set_add_set(*res, isl_set_lift(isl_set_copy(set)));
1631
1632         return 0;
1633 }
1634
1635 __isl_give isl_union_set *isl_union_set_lift(__isl_take isl_union_set *uset)
1636 {
1637         return cond_un_op(uset, &lift_entry);
1638 }
1639
1640 static int coefficients_entry(void **entry, void *user)
1641 {
1642         isl_set *set = *entry;
1643         isl_union_set **res = user;
1644
1645         set = isl_set_copy(set);
1646         set = isl_set_from_basic_set(isl_set_coefficients(set));
1647         *res = isl_union_set_add_set(*res, set);
1648
1649         return 0;
1650 }
1651
1652 __isl_give isl_union_set *isl_union_set_coefficients(
1653         __isl_take isl_union_set *uset)
1654 {
1655         isl_ctx *ctx;
1656         isl_dim *dim;
1657         isl_union_set *res;
1658
1659         if (!uset)
1660                 return NULL;
1661
1662         ctx = isl_union_set_get_ctx(uset);
1663         dim = isl_dim_set_alloc(ctx, 0, 0);
1664         res = isl_union_map_alloc(dim, uset->table.n);
1665         if (isl_hash_table_foreach(uset->dim->ctx, &uset->table,
1666                                    &coefficients_entry, &res) < 0)
1667                 goto error;
1668
1669         isl_union_set_free(uset);
1670         return res;
1671 error:
1672         isl_union_set_free(uset);
1673         isl_union_set_free(res);
1674         return NULL;
1675 }
1676
1677 static int solutions_entry(void **entry, void *user)
1678 {
1679         isl_set *set = *entry;
1680         isl_union_set **res = user;
1681
1682         set = isl_set_copy(set);
1683         set = isl_set_from_basic_set(isl_set_solutions(set));
1684         if (!*res)
1685                 *res = isl_union_set_from_set(set);
1686         else
1687                 *res = isl_union_set_add_set(*res, set);
1688
1689         if (!*res)
1690                 return -1;
1691
1692         return 0;
1693 }
1694
1695 __isl_give isl_union_set *isl_union_set_solutions(
1696         __isl_take isl_union_set *uset)
1697 {
1698         isl_ctx *ctx;
1699         isl_dim *dim;
1700         isl_union_set *res = NULL;
1701
1702         if (!uset)
1703                 return NULL;
1704
1705         if (uset->table.n == 0) {
1706                 res = isl_union_set_empty(isl_union_set_get_dim(uset));
1707                 isl_union_set_free(uset);
1708                 return res;
1709         }
1710
1711         if (isl_hash_table_foreach(uset->dim->ctx, &uset->table,
1712                                    &solutions_entry, &res) < 0)
1713                 goto error;
1714
1715         isl_union_set_free(uset);
1716         return res;
1717 error:
1718         isl_union_set_free(uset);
1719         isl_union_set_free(res);
1720         return NULL;
1721 }