isl_union_map.c

   1 /*
   2  * Copyright 2010-2011 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 #define ISL_DIM_H
  12 #include <isl_map_private.h>
  13 #include <isl/ctx.h>
  14 #include <isl/hash.h>
  15 #include <isl/map.h>
  16 #include <isl/set.h>
  17 #include <isl_space_private.h>
  18 #include <isl_union_map_private.h>
  19 #include <isl/union_set.h>
  20
  21 /* Is this union set a parameter domain?
  22  */
  23 int isl_union_set_is_params(__isl_keep isl_union_set *uset)
  24 {
  25         isl_set *set;
  26         int params;
  27
  28         if (!uset)
  29                 return -1;
  30         if (uset->table.n != 1)
  31                 return 0;
  32
  33         set = isl_set_from_union_set(isl_union_set_copy(uset));
  34         params = isl_set_is_params(set);
  35         isl_set_free(set);
  36         return params;
  37 }
  38
  39 static __isl_give isl_union_map *isl_union_map_alloc(__isl_take isl_space *dim,
  40         int size)
  41 {
  42         isl_union_map *umap;
  43
  44         if (!dim)
  45                 return NULL;
  46
  47         umap = isl_calloc_type(dim->ctx, isl_union_map);
  48         if (!umap)
  49                 return NULL;
  50
  51         umap->ref = 1;
  52         umap->dim = dim;
  53         if (isl_hash_table_init(dim->ctx, &umap->table, size) < 0)
  54                 goto error;
  55
  56         return umap;
  57 error:
  58         isl_space_free(dim);
  59         isl_union_map_free(umap);
  60         return NULL;
  61 }
  62
  63 __isl_give isl_union_map *isl_union_map_empty(__isl_take isl_space *dim)
  64 {
  65         return isl_union_map_alloc(dim, 16);
  66 }
  67
  68 __isl_give isl_union_set *isl_union_set_empty(__isl_take isl_space *dim)
  69 {
  70         return isl_union_map_empty(dim);
  71 }
  72
  73 isl_ctx *isl_union_map_get_ctx(__isl_keep isl_union_map *umap)
  74 {
  75         return umap ? umap->dim->ctx : NULL;
  76 }
  77
  78 isl_ctx *isl_union_set_get_ctx(__isl_keep isl_union_set *uset)
  79 {
  80         return uset ? uset->dim->ctx : NULL;
  81 }
  82
  83 __isl_give isl_space *isl_union_map_get_space(__isl_keep isl_union_map *umap)
  84 {
  85         if (!umap)
  86                 return NULL;
  87         return isl_space_copy(umap->dim);
  88 }
  89
  90 __isl_give isl_space *isl_union_set_get_space(__isl_keep isl_union_set *uset)
  91 {
  92         return isl_union_map_get_space(uset);
  93 }
  94
  95 static int free_umap_entry(void **entry, void *user)
  96 {
  97         isl_map *map = *entry;
  98         isl_map_free(map);
  99         return 0;
 100 }
 101
 102 static int add_map(__isl_take isl_map *map, void *user)
 103 {
 104         isl_union_map **umap = (isl_union_map **)user;
 105
 106         *umap = isl_union_map_add_map(*umap, map);
 107
 108         return 0;
 109 }
 110
 111 __isl_give isl_union_map *isl_union_map_dup(__isl_keep isl_union_map *umap)
 112 {
 113         isl_union_map *dup;
 114
 115         if (!umap)
 116                 return NULL;
 117
 118         dup = isl_union_map_empty(isl_space_copy(umap->dim));
 119         if (isl_union_map_foreach_map(umap, &add_map, &dup) < 0)
 120                 goto error;
 121         return dup;
 122 error:
 123         isl_union_map_free(dup);
 124         return NULL;
 125 }
 126
 127 __isl_give isl_union_map *isl_union_map_cow(__isl_take isl_union_map *umap)
 128 {
 129         if (!umap)
 130                 return NULL;
 131
 132         if (umap->ref == 1)
 133                 return umap;
 134         umap->ref--;
 135         return isl_union_map_dup(umap);
 136 }
 137
 138 struct isl_union_align {
 139         isl_reordering *exp;
 140         isl_union_map *res;
 141 };
 142
 143 static int align_entry(void **entry, void *user)
 144 {
 145         isl_map *map = *entry;
 146         isl_reordering *exp;
 147         struct isl_union_align *data = user;
 148
 149         exp = isl_reordering_extend_space(isl_reordering_copy(data->exp),
 150                                     isl_map_get_space(map));
 151
 152         data->res = isl_union_map_add_map(data->res,
 153                                         isl_map_realign(isl_map_copy(map), exp));
 154
 155         return 0;
 156 }
 157
 158 /* Align the parameters of umap along those of model.
 159  * The result has the parameters of model first, in the same order
 160  * as they appear in model, followed by any remaining parameters of
 161  * umap that do not appear in model.
 162  */
 163 __isl_give isl_union_map *isl_union_map_align_params(
 164         __isl_take isl_union_map *umap, __isl_take isl_space *model)
 165 {
 166         struct isl_union_align data = { NULL, NULL };
 167
 168         if (!umap || !model)
 169                 goto error;
 170
 171         if (isl_space_match(umap->dim, isl_dim_param, model, isl_dim_param)) {
 172                 isl_space_free(model);
 173                 return umap;
 174         }
 175
 176         model = isl_space_params(model);
 177         data.exp = isl_parameter_alignment_reordering(umap->dim, model);
 178         if (!data.exp)
 179                 goto error;
 180
 181         data.res = isl_union_map_alloc(isl_space_copy(data.exp->dim),
 182                                         umap->table.n);
 183         if (isl_hash_table_foreach(umap->dim->ctx, &umap->table,
 184                                         &align_entry, &data) < 0)
 185                 goto error;
 186
 187         isl_reordering_free(data.exp);
 188         isl_union_map_free(umap);
 189         isl_space_free(model);
 190         return data.res;
 191 error:
 192         isl_reordering_free(data.exp);
 193         isl_union_map_free(umap);
 194         isl_union_map_free(data.res);
 195         isl_space_free(model);
 196         return NULL;
 197 }
 198
 199 __isl_give isl_union_set *isl_union_set_align_params(
 200         __isl_take isl_union_set *uset, __isl_take isl_space *model)
 201 {
 202         return isl_union_map_align_params(uset, model);
 203 }
 204
 205 __isl_give isl_union_map *isl_union_map_union(__isl_take isl_union_map *umap1,
 206         __isl_take isl_union_map *umap2)
 207 {
 208         umap1 = isl_union_map_align_params(umap1, isl_union_map_get_space(umap2));
 209         umap2 = isl_union_map_align_params(umap2, isl_union_map_get_space(umap1));
 210
 211         umap1 = isl_union_map_cow(umap1);
 212
 213         if (!umap1 || !umap2)
 214                 goto error;
 215
 216         if (isl_union_map_foreach_map(umap2, &add_map, &umap1) < 0)
 217                 goto error;
 218
 219         isl_union_map_free(umap2);
 220
 221         return umap1;
 222 error:
 223         isl_union_map_free(umap1);
 224         isl_union_map_free(umap2);
 225         return NULL;
 226 }
 227
 228 __isl_give isl_union_set *isl_union_set_union(__isl_take isl_union_set *uset1,
 229         __isl_take isl_union_set *uset2)
 230 {
 231         return isl_union_map_union(uset1, uset2);
 232 }
 233
 234 __isl_give isl_union_map *isl_union_map_copy(__isl_keep isl_union_map *umap)
 235 {
 236         if (!umap)
 237                 return NULL;
 238
 239         umap->ref++;
 240         return umap;
 241 }
 242
 243 __isl_give isl_union_set *isl_union_set_copy(__isl_keep isl_union_set *uset)
 244 {
 245         return isl_union_map_copy(uset);
 246 }
 247
 248 void *isl_union_map_free(__isl_take isl_union_map *umap)
 249 {
 250         if (!umap)
 251                 return NULL;
 252
 253         if (--umap->ref > 0)
 254                 return NULL;
 255
 256         isl_hash_table_foreach(umap->dim->ctx, &umap->table,
 257                                &free_umap_entry, NULL);
 258         isl_hash_table_clear(&umap->table);
 259         isl_space_free(umap->dim);
 260         free(umap);
 261         return NULL;
 262 }
 263
 264 void *isl_union_set_free(__isl_take isl_union_set *uset)
 265 {
 266         return isl_union_map_free(uset);
 267 }
 268
 269 static int has_dim(const void *entry, const void *val)
 270 {
 271         isl_map *map = (isl_map *)entry;
 272         isl_space *dim = (isl_space *)val;
 273
 274         return isl_space_is_equal(map->dim, dim);
 275 }
 276
 277 __isl_give isl_union_map *isl_union_map_add_map(__isl_take isl_union_map *umap,
 278         __isl_take isl_map *map)
 279 {
 280         uint32_t hash;
 281         struct isl_hash_table_entry *entry;
 282
 283         if (!map || !umap)
 284                 goto error;
 285
 286         if (isl_map_plain_is_empty(map)) {
 287                 isl_map_free(map);
 288                 return umap;
 289         }
 290
 291         if (!isl_space_match(map->dim, isl_dim_param, umap->dim, isl_dim_param)) {
 292                 umap = isl_union_map_align_params(umap, isl_map_get_space(map));
 293                 map = isl_map_align_params(map, isl_union_map_get_space(umap));
 294         }
 295
 296         umap = isl_union_map_cow(umap);
 297
 298         if (!map || !umap)
 299                 goto error;
 300
 301         hash = isl_space_get_hash(map->dim);
 302         entry = isl_hash_table_find(umap->dim->ctx, &umap->table, hash,
 303                                     &has_dim, map->dim, 1);
 304         if (!entry)
 305                 goto error;
 306
 307         if (!entry->data)
 308                 entry->data = map;
 309         else {
 310                 entry->data = isl_map_union(entry->data, isl_map_copy(map));
 311                 if (!entry->data)
 312                         goto error;
 313                 isl_map_free(map);
 314         }
 315
 316         return umap;
 317 error:
 318         isl_map_free(map);
 319         isl_union_map_free(umap);
 320         return NULL;
 321 }
 322
 323 __isl_give isl_union_set *isl_union_set_add_set(__isl_take isl_union_set *uset,
 324         __isl_take isl_set *set)
 325 {
 326         return isl_union_map_add_map(uset, (isl_map *)set);
 327 }
 328
 329 __isl_give isl_union_map *isl_union_map_from_map(__isl_take isl_map *map)
 330 {
 331         isl_space *dim;
 332         isl_union_map *umap;
 333
 334         if (!map)
 335                 return NULL;
 336
 337         dim = isl_map_get_space(map);
 338         dim = isl_space_params(dim);
 339         umap = isl_union_map_empty(dim);
 340         umap = isl_union_map_add_map(umap, map);
 341
 342         return umap;
 343 }
 344
 345 __isl_give isl_union_set *isl_union_set_from_set(__isl_take isl_set *set)
 346 {
 347         return isl_union_map_from_map((isl_map *)set);
 348 }
 349
 350 struct isl_union_map_foreach_data
 351 {
 352         int (*fn)(__isl_take isl_map *map, void *user);
 353         void *user;
 354 };
 355
 356 static int call_on_copy(void **entry, void *user)
 357 {
 358         isl_map *map = *entry;
 359         struct isl_union_map_foreach_data *data;
 360         data = (struct isl_union_map_foreach_data *)user;
 361
 362         return data->fn(isl_map_copy(map), data->user);
 363 }
 364
 365 int isl_union_map_n_map(__isl_keep isl_union_map *umap)
 366 {
 367         return umap ? umap->table.n : 0;
 368 }
 369
 370 int isl_union_set_n_set(__isl_keep isl_union_set *uset)
 371 {
 372         return uset ? uset->table.n : 0;
 373 }
 374
 375 int isl_union_map_foreach_map(__isl_keep isl_union_map *umap,
 376         int (*fn)(__isl_take isl_map *map, void *user), void *user)
 377 {
 378         struct isl_union_map_foreach_data data = { fn, user };
 379
 380         if (!umap)
 381                 return -1;
 382
 383         return isl_hash_table_foreach(umap->dim->ctx, &umap->table,
 384                                       &call_on_copy, &data);
 385 }
 386
 387 static int copy_map(void **entry, void *user)
 388 {
 389         isl_map *map = *entry;
 390         isl_map **map_p = user;
 391
 392         *map_p = isl_map_copy(map);
 393
 394         return -1;
 395 }
 396
 397 __isl_give isl_map *isl_map_from_union_map(__isl_take isl_union_map *umap)
 398 {
 399         isl_ctx *ctx;
 400         isl_map *map = NULL;
 401
 402         if (!umap)
 403                 return NULL;
 404         ctx = isl_union_map_get_ctx(umap);
 405         if (umap->table.n != 1)
 406                 isl_die(ctx, isl_error_invalid,
 407                         "union map needs to contain elements in exactly "
 408                         "one space", return isl_union_map_free(umap));
 409
 410         isl_hash_table_foreach(ctx, &umap->table, &copy_map, &map);
 411
 412         isl_union_map_free(umap);
 413
 414         return map;
 415 }
 416
 417 __isl_give isl_set *isl_set_from_union_set(__isl_take isl_union_set *uset)
 418 {
 419         return isl_map_from_union_map(uset);
 420 }
 421
 422 __isl_give isl_map *isl_union_map_extract_map(__isl_keep isl_union_map *umap,
 423         __isl_take isl_space *dim)
 424 {
 425         uint32_t hash;
 426         struct isl_hash_table_entry *entry;
 427
 428         if (!umap || !dim)
 429                 goto error;
 430
 431         hash = isl_space_get_hash(dim);
 432         entry = isl_hash_table_find(umap->dim->ctx, &umap->table, hash,
 433                                     &has_dim, dim, 0);
 434         if (!entry)
 435                 return isl_map_empty(dim);
 436         isl_space_free(dim);
 437         return isl_map_copy(entry->data);
 438 error:
 439         isl_space_free(dim);
 440         return NULL;
 441 }
 442
 443 __isl_give isl_set *isl_union_set_extract_set(__isl_keep isl_union_set *uset,
 444         __isl_take isl_space *dim)
 445 {
 446         return (isl_set *)isl_union_map_extract_map(uset, dim);
 447 }
 448
 449 /* Check if umap contains a map in the given space.
 450  */
 451 __isl_give int isl_union_map_contains(__isl_keep isl_union_map *umap,
 452         __isl_keep isl_space *dim)
 453 {
 454         uint32_t hash;
 455         struct isl_hash_table_entry *entry;
 456
 457         if (!umap || !dim)
 458                 return -1;
 459
 460         hash = isl_space_get_hash(dim);
 461         entry = isl_hash_table_find(umap->dim->ctx, &umap->table, hash,
 462                                     &has_dim, dim, 0);
 463         return !!entry;
 464 }
 465
 466 __isl_give int isl_union_set_contains(__isl_keep isl_union_set *uset,
 467         __isl_keep isl_space *dim)
 468 {
 469         return isl_union_map_contains(uset, dim);
 470 }
 471
 472 int isl_union_set_foreach_set(__isl_keep isl_union_set *uset,
 473         int (*fn)(__isl_take isl_set *set, void *user), void *user)
 474 {
 475         return isl_union_map_foreach_map(uset,
 476                 (int(*)(__isl_take isl_map *, void*))fn, user);
 477 }
 478
 479 struct isl_union_set_foreach_point_data {
 480         int (*fn)(__isl_take isl_point *pnt, void *user);
 481         void *user;
 482 };
 483
 484 static int foreach_point(__isl_take isl_set *set, void *user)
 485 {
 486         struct isl_union_set_foreach_point_data *data = user;
 487         int r;
 488
 489         r = isl_set_foreach_point(set, data->fn, data->user);
 490         isl_set_free(set);
 491
 492         return r;
 493 }
 494
 495 int isl_union_set_foreach_point(__isl_keep isl_union_set *uset,
 496         int (*fn)(__isl_take isl_point *pnt, void *user), void *user)
 497 {
 498         struct isl_union_set_foreach_point_data data = { fn, user };
 499         return isl_union_set_foreach_set(uset, &foreach_point, &data);
 500 }
 501
 502 struct isl_union_map_gen_bin_data {
 503         isl_union_map *umap2;
 504         isl_union_map *res;
 505 };
 506
 507 static int subtract_entry(void **entry, void *user)
 508 {
 509         struct isl_union_map_gen_bin_data *data = user;
 510         uint32_t hash;
 511         struct isl_hash_table_entry *entry2;
 512         isl_map *map = *entry;
 513
 514         hash = isl_space_get_hash(map->dim);
 515         entry2 = isl_hash_table_find(data->umap2->dim->ctx, &data->umap2->table,
 516                                      hash, &has_dim, map->dim, 0);
 517         map = isl_map_copy(map);
 518         if (entry2) {
 519                 int empty;
 520                 map = isl_map_subtract(map, isl_map_copy(entry2->data));
 521
 522                 empty = isl_map_is_empty(map);
 523                 if (empty < 0) {
 524                         isl_map_free(map);
 525                         return -1;
 526                 }
 527                 if (empty) {
 528                         isl_map_free(map);
 529                         return 0;
 530                 }
 531         }
 532         data->res = isl_union_map_add_map(data->res, map);
 533
 534         return 0;
 535 }
 536
 537 static __isl_give isl_union_map *gen_bin_op(__isl_take isl_union_map *umap1,
 538         __isl_take isl_union_map *umap2, int (*fn)(void **, void *))
 539 {
 540         struct isl_union_map_gen_bin_data data = { NULL, NULL };
 541
 542         umap1 = isl_union_map_align_params(umap1, isl_union_map_get_space(umap2));
 543         umap2 = isl_union_map_align_params(umap2, isl_union_map_get_space(umap1));
 544
 545         if (!umap1 || !umap2)
 546                 goto error;
 547
 548         data.umap2 = umap2;
 549         data.res = isl_union_map_alloc(isl_space_copy(umap1->dim),
 550                                        umap1->table.n);
 551         if (isl_hash_table_foreach(umap1->dim->ctx, &umap1->table,
 552                                    fn, &data) < 0)
 553                 goto error;
 554
 555         isl_union_map_free(umap1);
 556         isl_union_map_free(umap2);
 557         return data.res;
 558 error:
 559         isl_union_map_free(umap1);
 560         isl_union_map_free(umap2);
 561         isl_union_map_free(data.res);
 562         return NULL;
 563 }
 564
 565 __isl_give isl_union_map *isl_union_map_subtract(
 566         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
 567 {
 568         return gen_bin_op(umap1, umap2, &subtract_entry);
 569 }
 570
 571 __isl_give isl_union_set *isl_union_set_subtract(
 572         __isl_take isl_union_set *uset1, __isl_take isl_union_set *uset2)
 573 {
 574         return isl_union_map_subtract(uset1, uset2);
 575 }
 576
 577 struct isl_union_map_gen_bin_set_data {
 578         isl_set *set;
 579         isl_union_map *res;
 580 };
 581
 582 static int intersect_params_entry(void **entry, void *user)
 583 {
 584         struct isl_union_map_gen_bin_set_data *data = user;
 585         isl_map *map = *entry;
 586         int empty;
 587
 588         map = isl_map_copy(map);
 589         map = isl_map_intersect_params(map, isl_set_copy(data->set));
 590
 591         empty = isl_map_is_empty(map);
 592         if (empty < 0) {
 593                 isl_map_free(map);
 594                 return -1;
 595         }
 596
 597         data->res = isl_union_map_add_map(data->res, map);
 598
 599         return 0;
 600 }
 601
 602 static __isl_give isl_union_map *gen_bin_set_op(__isl_take isl_union_map *umap,
 603         __isl_take isl_set *set, int (*fn)(void **, void *))
 604 {
 605         struct isl_union_map_gen_bin_set_data data = { NULL, NULL };
 606
 607         umap = isl_union_map_align_params(umap, isl_set_get_space(set));
 608         set = isl_set_align_params(set, isl_union_map_get_space(umap));
 609
 610         if (!umap || !set)
 611                 goto error;
 612
 613         data.set = set;
 614         data.res = isl_union_map_alloc(isl_space_copy(umap->dim),
 615                                        umap->table.n);
 616         if (isl_hash_table_foreach(umap->dim->ctx, &umap->table,
 617                                    fn, &data) < 0)
 618                 goto error;
 619
 620         isl_union_map_free(umap);
 621         isl_set_free(set);
 622         return data.res;
 623 error:
 624         isl_union_map_free(umap);
 625         isl_set_free(set);
 626         isl_union_map_free(data.res);
 627         return NULL;
 628 }
 629
 630 __isl_give isl_union_map *isl_union_map_intersect_params(
 631         __isl_take isl_union_map *umap, __isl_take isl_set *set)
 632 {
 633         return gen_bin_set_op(umap, set, &intersect_params_entry);
 634 }
 635
 636 __isl_give isl_union_set *isl_union_set_intersect_params(
 637         __isl_take isl_union_set *uset, __isl_take isl_set *set)
 638 {
 639         return isl_union_map_intersect_params(uset, set);
 640 }
 641
 642 static __isl_give isl_union_map *union_map_intersect_params(
 643         __isl_take isl_union_map *umap, __isl_take isl_union_set *uset)
 644 {
 645         return isl_union_map_intersect_params(umap,
 646                                                 isl_set_from_union_set(uset));
 647 }
 648
 649 static __isl_give isl_union_map *union_map_gist_params(
 650         __isl_take isl_union_map *umap, __isl_take isl_union_set *uset)
 651 {
 652         return isl_union_map_gist_params(umap, isl_set_from_union_set(uset));
 653 }
 654
 655 struct isl_union_map_match_bin_data {
 656         isl_union_map *umap2;
 657         isl_union_map *res;
 658         __isl_give isl_map *(*fn)(__isl_take isl_map*, __isl_take isl_map*);
 659 };
 660
 661 static int match_bin_entry(void **entry, void *user)
 662 {
 663         struct isl_union_map_match_bin_data *data = user;
 664         uint32_t hash;
 665         struct isl_hash_table_entry *entry2;
 666         isl_map *map = *entry;
 667         int empty;
 668
 669         hash = isl_space_get_hash(map->dim);
 670         entry2 = isl_hash_table_find(data->umap2->dim->ctx, &data->umap2->table,
 671                                      hash, &has_dim, map->dim, 0);
 672         if (!entry2)
 673                 return 0;
 674
 675         map = isl_map_copy(map);
 676         map = data->fn(map, isl_map_copy(entry2->data));
 677
 678         empty = isl_map_is_empty(map);
 679         if (empty < 0) {
 680                 isl_map_free(map);
 681                 return -1;
 682         }
 683         if (empty) {
 684                 isl_map_free(map);
 685                 return 0;
 686         }
 687
 688         data->res = isl_union_map_add_map(data->res, map);
 689
 690         return 0;
 691 }
 692
 693 static __isl_give isl_union_map *match_bin_op(__isl_take isl_union_map *umap1,
 694         __isl_take isl_union_map *umap2,
 695         __isl_give isl_map *(*fn)(__isl_take isl_map*, __isl_take isl_map*))
 696 {
 697         struct isl_union_map_match_bin_data data = { NULL, NULL, fn };
 698
 699         umap1 = isl_union_map_align_params(umap1, isl_union_map_get_space(umap2));
 700         umap2 = isl_union_map_align_params(umap2, isl_union_map_get_space(umap1));
 701
 702         if (!umap1 || !umap2)
 703                 goto error;
 704
 705         data.umap2 = umap2;
 706         data.res = isl_union_map_alloc(isl_space_copy(umap1->dim),
 707                                        umap1->table.n);
 708         if (isl_hash_table_foreach(umap1->dim->ctx, &umap1->table,
 709                                    &match_bin_entry, &data) < 0)
 710                 goto error;
 711
 712         isl_union_map_free(umap1);
 713         isl_union_map_free(umap2);
 714         return data.res;
 715 error:
 716         isl_union_map_free(umap1);
 717         isl_union_map_free(umap2);
 718         isl_union_map_free(data.res);
 719         return NULL;
 720 }
 721
 722 __isl_give isl_union_map *isl_union_map_intersect(
 723         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
 724 {
 725         return match_bin_op(umap1, umap2, &isl_map_intersect);
 726 }
 727
 728 /* Compute the intersection of the two union_sets.
 729  * As a special case, if exactly one of the two union_sets
 730  * is a parameter domain, then intersect the parameter domain
 731  * of the other one with this set.
 732  */
 733 __isl_give isl_union_set *isl_union_set_intersect(
 734         __isl_take isl_union_set *uset1, __isl_take isl_union_set *uset2)
 735 {
 736         int p1, p2;
 737
 738         p1 = isl_union_set_is_params(uset1);
 739         p2 = isl_union_set_is_params(uset2);
 740         if (p1 < 0 || p2 < 0)
 741                 goto error;
 742         if (!p1 && p2)
 743                 return union_map_intersect_params(uset1, uset2);
 744         if (p1 && !p2)
 745                 return union_map_intersect_params(uset2, uset1);
 746         return isl_union_map_intersect(uset1, uset2);
 747 error:
 748         isl_union_set_free(uset1);
 749         isl_union_set_free(uset2);
 750         return NULL;
 751 }
 752
 753 static int gist_params_entry(void **entry, void *user)
 754 {
 755         struct isl_union_map_gen_bin_set_data *data = user;
 756         isl_map *map = *entry;
 757         int empty;
 758
 759         map = isl_map_copy(map);
 760         map = isl_map_gist_params(map, isl_set_copy(data->set));
 761
 762         empty = isl_map_is_empty(map);
 763         if (empty < 0) {
 764                 isl_map_free(map);
 765                 return -1;
 766         }
 767
 768         data->res = isl_union_map_add_map(data->res, map);
 769
 770         return 0;
 771 }
 772
 773 __isl_give isl_union_map *isl_union_map_gist_params(
 774         __isl_take isl_union_map *umap, __isl_take isl_set *set)
 775 {
 776         return gen_bin_set_op(umap, set, &gist_params_entry);
 777 }
 778
 779 __isl_give isl_union_set *isl_union_set_gist_params(
 780         __isl_take isl_union_set *uset, __isl_take isl_set *set)
 781 {
 782         return isl_union_map_gist_params(uset, set);
 783 }
 784
 785 __isl_give isl_union_map *isl_union_map_gist(__isl_take isl_union_map *umap,
 786         __isl_take isl_union_map *context)
 787 {
 788         return match_bin_op(umap, context, &isl_map_gist);
 789 }
 790
 791 __isl_give isl_union_set *isl_union_set_gist(__isl_take isl_union_set *uset,
 792         __isl_take isl_union_set *context)
 793 {
 794         if (isl_union_set_is_params(context))
 795                 return union_map_gist_params(uset, context);
 796         return isl_union_map_gist(uset, context);
 797 }
 798
 799 static __isl_give isl_map *lex_le_set(__isl_take isl_map *set1,
 800         __isl_take isl_map *set2)
 801 {
 802         return isl_set_lex_le_set((isl_set *)set1, (isl_set *)set2);
 803 }
 804
 805 static __isl_give isl_map *lex_lt_set(__isl_take isl_map *set1,
 806         __isl_take isl_map *set2)
 807 {
 808         return isl_set_lex_lt_set((isl_set *)set1, (isl_set *)set2);
 809 }
 810
 811 __isl_give isl_union_map *isl_union_set_lex_lt_union_set(
 812         __isl_take isl_union_set *uset1, __isl_take isl_union_set *uset2)
 813 {
 814         return match_bin_op(uset1, uset2, &lex_lt_set);
 815 }
 816
 817 __isl_give isl_union_map *isl_union_set_lex_le_union_set(
 818         __isl_take isl_union_set *uset1, __isl_take isl_union_set *uset2)
 819 {
 820         return match_bin_op(uset1, uset2, &lex_le_set);
 821 }
 822
 823 __isl_give isl_union_map *isl_union_set_lex_gt_union_set(
 824         __isl_take isl_union_set *uset1, __isl_take isl_union_set *uset2)
 825 {
 826         return isl_union_map_reverse(isl_union_set_lex_lt_union_set(uset2, uset1));
 827 }
 828
 829 __isl_give isl_union_map *isl_union_set_lex_ge_union_set(
 830         __isl_take isl_union_set *uset1, __isl_take isl_union_set *uset2)
 831 {
 832         return isl_union_map_reverse(isl_union_set_lex_le_union_set(uset2, uset1));
 833 }
 834
 835 __isl_give isl_union_map *isl_union_map_lex_gt_union_map(
 836         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
 837 {
 838         return isl_union_map_reverse(isl_union_map_lex_lt_union_map(umap2, umap1));
 839 }
 840
 841 __isl_give isl_union_map *isl_union_map_lex_ge_union_map(
 842         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
 843 {
 844         return isl_union_map_reverse(isl_union_map_lex_le_union_map(umap2, umap1));
 845 }
 846
 847 static int intersect_domain_entry(void **entry, void *user)
 848 {
 849         struct isl_union_map_gen_bin_data *data = user;
 850         uint32_t hash;
 851         struct isl_hash_table_entry *entry2;
 852         isl_space *dim;
 853         isl_map *map = *entry;
 854         int empty;
 855
 856         dim = isl_map_get_space(map);
 857         dim = isl_space_domain(dim);
 858         hash = isl_space_get_hash(dim);
 859         entry2 = isl_hash_table_find(data->umap2->dim->ctx, &data->umap2->table,
 860                                      hash, &has_dim, dim, 0);
 861         isl_space_free(dim);
 862         if (!entry2)
 863                 return 0;
 864
 865         map = isl_map_copy(map);
 866         map = isl_map_intersect_domain(map, isl_set_copy(entry2->data));
 867
 868         empty = isl_map_is_empty(map);
 869         if (empty < 0) {
 870                 isl_map_free(map);
 871                 return -1;
 872         }
 873         if (empty) {
 874                 isl_map_free(map);
 875                 return 0;
 876         }
 877
 878         data->res = isl_union_map_add_map(data->res, map);
 879
 880         return 0;
 881 }
 882
 883 /* Intersect the domain of "umap" with "uset".
 884  * If "uset" is a parameters domain, then intersect the parameter
 885  * domain of "umap" with this set.
 886  */
 887 __isl_give isl_union_map *isl_union_map_intersect_domain(
 888         __isl_take isl_union_map *umap, __isl_take isl_union_set *uset)
 889 {
 890         if (isl_union_set_is_params(uset))
 891                 return union_map_intersect_params(umap, uset);
 892         return gen_bin_op(umap, uset, &intersect_domain_entry);
 893 }
 894
 895 static int gist_domain_entry(void **entry, void *user)
 896 {
 897         struct isl_union_map_gen_bin_data *data = user;
 898         uint32_t hash;
 899         struct isl_hash_table_entry *entry2;
 900         isl_space *dim;
 901         isl_map *map = *entry;
 902         int empty;
 903
 904         dim = isl_map_get_space(map);
 905         dim = isl_space_domain(dim);
 906         hash = isl_space_get_hash(dim);
 907         entry2 = isl_hash_table_find(data->umap2->dim->ctx, &data->umap2->table,
 908                                      hash, &has_dim, dim, 0);
 909         isl_space_free(dim);
 910         if (!entry2)
 911                 return 0;
 912
 913         map = isl_map_copy(map);
 914         map = isl_map_gist_domain(map, isl_set_copy(entry2->data));
 915
 916         empty = isl_map_is_empty(map);
 917         if (empty < 0) {
 918                 isl_map_free(map);
 919                 return -1;
 920         }
 921
 922         data->res = isl_union_map_add_map(data->res, map);
 923
 924         return 0;
 925 }
 926
 927 /* Compute the gist of "umap" with respect to the domain "uset".
 928  * If "uset" is a parameters domain, then compute the gist
 929  * with respect to this parameter domain.
 930  */
 931 __isl_give isl_union_map *isl_union_map_gist_domain(
 932         __isl_take isl_union_map *umap, __isl_take isl_union_set *uset)
 933 {
 934         if (isl_union_set_is_params(uset))
 935                 return union_map_gist_params(umap, uset);
 936         return gen_bin_op(umap, uset, &gist_domain_entry);
 937 }
 938
 939 static int gist_range_entry(void **entry, void *user)
 940 {
 941         struct isl_union_map_gen_bin_data *data = user;
 942         uint32_t hash;
 943         struct isl_hash_table_entry *entry2;
 944         isl_space *space;
 945         isl_map *map = *entry;
 946         int empty;
 947
 948         space = isl_map_get_space(map);
 949         space = isl_space_range(space);
 950         hash = isl_space_get_hash(space);
 951         entry2 = isl_hash_table_find(data->umap2->dim->ctx, &data->umap2->table,
 952                                      hash, &has_dim, space, 0);
 953         isl_space_free(space);
 954         if (!entry2)
 955                 return 0;
 956
 957         map = isl_map_copy(map);
 958         map = isl_map_gist_range(map, isl_set_copy(entry2->data));
 959
 960         empty = isl_map_is_empty(map);
 961         if (empty < 0) {
 962                 isl_map_free(map);
 963                 return -1;
 964         }
 965
 966         data->res = isl_union_map_add_map(data->res, map);
 967
 968         return 0;
 969 }
 970
 971 /* Compute the gist of "umap" with respect to the range "uset".
 972  */
 973 __isl_give isl_union_map *isl_union_map_gist_range(
 974         __isl_take isl_union_map *umap, __isl_take isl_union_set *uset)
 975 {
 976         return gen_bin_op(umap, uset, &gist_range_entry);
 977 }
 978
 979 static int intersect_range_entry(void **entry, void *user)
 980 {
 981         struct isl_union_map_gen_bin_data *data = user;
 982         uint32_t hash;
 983         struct isl_hash_table_entry *entry2;
 984         isl_space *dim;
 985         isl_map *map = *entry;
 986         int empty;
 987
 988         dim = isl_map_get_space(map);
 989         dim = isl_space_range(dim);
 990         hash = isl_space_get_hash(dim);
 991         entry2 = isl_hash_table_find(data->umap2->dim->ctx, &data->umap2->table,
 992                                      hash, &has_dim, dim, 0);
 993         isl_space_free(dim);
 994         if (!entry2)
 995                 return 0;
 996
 997         map = isl_map_copy(map);
 998         map = isl_map_intersect_range(map, isl_set_copy(entry2->data));
 999
1000         empty = isl_map_is_empty(map);
1001         if (empty < 0) {
1002                 isl_map_free(map);
1003                 return -1;
1004         }
1005         if (empty) {
1006                 isl_map_free(map);
1007                 return 0;
1008         }
1009
1010         data->res = isl_union_map_add_map(data->res, map);
1011
1012         return 0;
1013 }
1014
1015 __isl_give isl_union_map *isl_union_map_intersect_range(
1016         __isl_take isl_union_map *umap, __isl_take isl_union_set *uset)
1017 {
1018         return gen_bin_op(umap, uset, &intersect_range_entry);
1019 }
1020
1021 struct isl_union_map_bin_data {
1022         isl_union_map *umap2;
1023         isl_union_map *res;
1024         isl_map *map;
1025         int (*fn)(void **entry, void *user);
1026 };
1027
1028 static int apply_range_entry(void **entry, void *user)
1029 {
1030         struct isl_union_map_bin_data *data = user;
1031         isl_map *map2 = *entry;
1032         int empty;
1033
1034         if (!isl_space_tuple_match(data->map->dim, isl_dim_out,
1035                                  map2->dim, isl_dim_in))
1036                 return 0;
1037
1038         map2 = isl_map_apply_range(isl_map_copy(data->map), isl_map_copy(map2));
1039
1040         empty = isl_map_is_empty(map2);
1041         if (empty < 0) {
1042                 isl_map_free(map2);
1043                 return -1;
1044         }
1045         if (empty) {
1046                 isl_map_free(map2);
1047                 return 0;
1048         }
1049
1050         data->res = isl_union_map_add_map(data->res, map2);
1051
1052         return 0;
1053 }
1054
1055 static int bin_entry(void **entry, void *user)
1056 {
1057         struct isl_union_map_bin_data *data = user;
1058         isl_map *map = *entry;
1059
1060         data->map = map;
1061         if (isl_hash_table_foreach(data->umap2->dim->ctx, &data->umap2->table,
1062                                    data->fn, data) < 0)
1063                 return -1;
1064
1065         return 0;
1066 }
1067
1068 static __isl_give isl_union_map *bin_op(__isl_take isl_union_map *umap1,
1069         __isl_take isl_union_map *umap2, int (*fn)(void **entry, void *user))
1070 {
1071         struct isl_union_map_bin_data data = { NULL, NULL, NULL, fn };
1072
1073         umap1 = isl_union_map_align_params(umap1, isl_union_map_get_space(umap2));
1074         umap2 = isl_union_map_align_params(umap2, isl_union_map_get_space(umap1));
1075
1076         if (!umap1 || !umap2)
1077                 goto error;
1078
1079         data.umap2 = umap2;
1080         data.res = isl_union_map_alloc(isl_space_copy(umap1->dim),
1081                                        umap1->table.n);
1082         if (isl_hash_table_foreach(umap1->dim->ctx, &umap1->table,
1083                                    &bin_entry, &data) < 0)
1084                 goto error;
1085
1086         isl_union_map_free(umap1);
1087         isl_union_map_free(umap2);
1088         return data.res;
1089 error:
1090         isl_union_map_free(umap1);
1091         isl_union_map_free(umap2);
1092         isl_union_map_free(data.res);
1093         return NULL;
1094 }
1095
1096 __isl_give isl_union_map *isl_union_map_apply_range(
1097         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
1098 {
1099         return bin_op(umap1, umap2, &apply_range_entry);
1100 }
1101
1102 __isl_give isl_union_map *isl_union_map_apply_domain(
1103         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
1104 {
1105         umap1 = isl_union_map_reverse(umap1);
1106         umap1 = isl_union_map_apply_range(umap1, umap2);
1107         return isl_union_map_reverse(umap1);
1108 }
1109
1110 __isl_give isl_union_set *isl_union_set_apply(
1111         __isl_take isl_union_set *uset, __isl_take isl_union_map *umap)
1112 {
1113         return isl_union_map_apply_range(uset, umap);
1114 }
1115
1116 static int map_lex_lt_entry(void **entry, void *user)
1117 {
1118         struct isl_union_map_bin_data *data = user;
1119         isl_map *map2 = *entry;
1120
1121         if (!isl_space_tuple_match(data->map->dim, isl_dim_out,
1122                                  map2->dim, isl_dim_out))
1123                 return 0;
1124
1125         map2 = isl_map_lex_lt_map(isl_map_copy(data->map), isl_map_copy(map2));
1126
1127         data->res = isl_union_map_add_map(data->res, map2);
1128
1129         return 0;
1130 }
1131
1132 __isl_give isl_union_map *isl_union_map_lex_lt_union_map(
1133         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
1134 {
1135         return bin_op(umap1, umap2, &map_lex_lt_entry);
1136 }
1137
1138 static int map_lex_le_entry(void **entry, void *user)
1139 {
1140         struct isl_union_map_bin_data *data = user;
1141         isl_map *map2 = *entry;
1142
1143         if (!isl_space_tuple_match(data->map->dim, isl_dim_out,
1144                                  map2->dim, isl_dim_out))
1145                 return 0;
1146
1147         map2 = isl_map_lex_le_map(isl_map_copy(data->map), isl_map_copy(map2));
1148
1149         data->res = isl_union_map_add_map(data->res, map2);
1150
1151         return 0;
1152 }
1153
1154 __isl_give isl_union_map *isl_union_map_lex_le_union_map(
1155         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
1156 {
1157         return bin_op(umap1, umap2, &map_lex_le_entry);
1158 }
1159
1160 static int product_entry(void **entry, void *user)
1161 {
1162         struct isl_union_map_bin_data *data = user;
1163         isl_map *map2 = *entry;
1164
1165         map2 = isl_map_product(isl_map_copy(data->map), isl_map_copy(map2));
1166
1167         data->res = isl_union_map_add_map(data->res, map2);
1168
1169         return 0;
1170 }
1171
1172 __isl_give isl_union_map *isl_union_map_product(__isl_take isl_union_map *umap1,
1173         __isl_take isl_union_map *umap2)
1174 {
1175         return bin_op(umap1, umap2, &product_entry);
1176 }
1177
1178 static int set_product_entry(void **entry, void *user)
1179 {
1180         struct isl_union_map_bin_data *data = user;
1181         isl_set *set2 = *entry;
1182
1183         set2 = isl_set_product(isl_set_copy(data->map), isl_set_copy(set2));
1184
1185         data->res = isl_union_set_add_set(data->res, set2);
1186
1187         return 0;
1188 }
1189
1190 __isl_give isl_union_set *isl_union_set_product(__isl_take isl_union_set *uset1,
1191         __isl_take isl_union_set *uset2)
1192 {
1193         return bin_op(uset1, uset2, &set_product_entry);
1194 }
1195
1196 static int range_product_entry(void **entry, void *user)
1197 {
1198         struct isl_union_map_bin_data *data = user;
1199         isl_map *map2 = *entry;
1200
1201         if (!isl_space_tuple_match(data->map->dim, isl_dim_in,
1202                                  map2->dim, isl_dim_in))
1203                 return 0;
1204
1205         map2 = isl_map_range_product(isl_map_copy(data->map),
1206                                      isl_map_copy(map2));
1207
1208         data->res = isl_union_map_add_map(data->res, map2);
1209
1210         return 0;
1211 }
1212
1213 __isl_give isl_union_map *isl_union_map_range_product(
1214         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
1215 {
1216         return bin_op(umap1, umap2, &range_product_entry);
1217 }
1218
1219 static int flat_range_product_entry(void **entry, void *user)
1220 {
1221         struct isl_union_map_bin_data *data = user;
1222         isl_map *map2 = *entry;
1223
1224         if (!isl_space_tuple_match(data->map->dim, isl_dim_in,
1225                                  map2->dim, isl_dim_in))
1226                 return 0;
1227
1228         map2 = isl_map_flat_range_product(isl_map_copy(data->map),
1229                                           isl_map_copy(map2));
1230
1231         data->res = isl_union_map_add_map(data->res, map2);
1232
1233         return 0;
1234 }
1235
1236 __isl_give isl_union_map *isl_union_map_flat_range_product(
1237         __isl_take isl_union_map *umap1, __isl_take isl_union_map *umap2)
1238 {
1239         return bin_op(umap1, umap2, &flat_range_product_entry);
1240 }
1241
1242 static __isl_give isl_union_set *cond_un_op(__isl_take isl_union_map *umap,
1243         int (*fn)(void **, void *))
1244 {
1245         isl_union_set *res;
1246
1247         if (!umap)
1248                 return NULL;
1249
1250         res = isl_union_map_alloc(isl_space_copy(umap->dim), umap->table.n);
1251         if (isl_hash_table_foreach(umap->dim->ctx, &umap->table, fn, &res) < 0)
1252                 goto error;
1253
1254         isl_union_map_free(umap);
1255         return res;
1256 error:
1257         isl_union_map_free(umap);
1258         isl_union_set_free(res);
1259         return NULL;
1260 }
1261
1262 static int from_range_entry(void **entry, void *user)
1263 {
1264         isl_map *set = *entry;
1265         isl_union_set **res = user;
1266
1267         *res = isl_union_map_add_map(*res,
1268                                         isl_map_from_range(isl_set_copy(set)));
1269
1270         return 0;
1271 }
1272
1273 __isl_give isl_union_map *isl_union_map_from_range(
1274         __isl_take isl_union_set *uset)
1275 {
1276         return cond_un_op(uset, &from_range_entry);
1277 }
1278
1279 __isl_give isl_union_map *isl_union_map_from_domain(
1280         __isl_take isl_union_set *uset)
1281 {
1282         return isl_union_map_reverse(isl_union_map_from_range(uset));
1283 }
1284
1285 __isl_give isl_union_map *isl_union_map_from_domain_and_range(
1286         __isl_take isl_union_set *domain, __isl_take isl_union_set *range)
1287 {
1288         return isl_union_map_apply_range(isl_union_map_from_domain(domain),
1289                                          isl_union_map_from_range(range));
1290 }
1291
1292 static __isl_give isl_union_map *un_op(__isl_take isl_union_map *umap,
1293         int (*fn)(void **, void *))
1294 {
1295         umap = isl_union_map_cow(umap);
1296         if (!umap)
1297                 return NULL;
1298
1299         if (isl_hash_table_foreach(umap->dim->ctx, &umap->table, fn, NULL) < 0)
1300                 goto error;
1301
1302         return umap;
1303 error:
1304         isl_union_map_free(umap);
1305         return NULL;
1306 }
1307
1308 static int affine_entry(void **entry, void *user)
1309 {
1310         isl_map **map = (isl_map **)entry;
1311
1312         *map = isl_map_from_basic_map(isl_map_affine_hull(*map));
1313
1314         return *map ? 0 : -1;
1315 }
1316
1317 __isl_give isl_union_map *isl_union_map_affine_hull(
1318         __isl_take isl_union_map *umap)
1319 {
1320         return un_op(umap, &affine_entry);
1321 }
1322
1323 __isl_give isl_union_set *isl_union_set_affine_hull(
1324         __isl_take isl_union_set *uset)
1325 {
1326         return isl_union_map_affine_hull(uset);
1327 }
1328
1329 static int polyhedral_entry(void **entry, void *user)
1330 {
1331         isl_map **map = (isl_map **)entry;
1332
1333         *map = isl_map_from_basic_map(isl_map_polyhedral_hull(*map));
1334
1335         return *map ? 0 : -1;
1336 }
1337
1338 __isl_give isl_union_map *isl_union_map_polyhedral_hull(
1339         __isl_take isl_union_map *umap)
1340 {
1341         return un_op(umap, &polyhedral_entry);
1342 }
1343
1344 __isl_give isl_union_set *isl_union_set_polyhedral_hull(
1345         __isl_take isl_union_set *uset)
1346 {
1347         return isl_union_map_polyhedral_hull(uset);
1348 }
1349
1350 static int simple_entry(void **entry, void *user)
1351 {
1352         isl_map **map = (isl_map **)entry;
1353
1354         *map = isl_map_from_basic_map(isl_map_simple_hull(*map));
1355
1356         return *map ? 0 : -1;
1357 }
1358
1359 __isl_give isl_union_map *isl_union_map_simple_hull(
1360         __isl_take isl_union_map *umap)
1361 {
1362         return un_op(umap, &simple_entry);
1363 }
1364
1365 __isl_give isl_union_set *isl_union_set_simple_hull(
1366         __isl_take isl_union_set *uset)
1367 {
1368         return isl_union_map_simple_hull(uset);
1369 }
1370
1371 static int inplace_entry(void **entry, void *user)
1372 {
1373         __isl_give isl_map *(*fn)(__isl_take isl_map *);
1374         isl_map **map = (isl_map **)entry;
1375         isl_map *copy;
1376
1377         fn = *(__isl_give isl_map *(**)(__isl_take isl_map *)) user;
1378         copy = fn(isl_map_copy(*map));
1379         if (!copy)
1380                 return -1;
1381
1382         isl_map_free(*map);
1383         *map = copy;
1384
1385         return 0;
1386 }
1387
1388 static __isl_give isl_union_map *inplace(__isl_take isl_union_map *umap,
1389         __isl_give isl_map *(*fn)(__isl_take isl_map *))
1390 {
1391         if (!umap)
1392                 return NULL;
1393
1394         if (isl_hash_table_foreach(umap->dim->ctx, &umap->table,
1395                                     &inplace_entry, &fn) < 0)
1396                 goto error;
1397
1398         return umap;
1399 error:
1400         isl_union_map_free(umap);
1401         return NULL;
1402 }
1403
1404 __isl_give isl_union_map *isl_union_map_coalesce(
1405         __isl_take isl_union_map *umap)
1406 {
1407         return inplace(umap, &isl_map_coalesce);
1408 }
1409
1410 __isl_give isl_union_set *isl_union_set_coalesce(
1411         __isl_take isl_union_set *uset)
1412 {
1413         return isl_union_map_coalesce(uset);
1414 }
1415
1416 __isl_give isl_union_map *isl_union_map_detect_equalities(
1417         __isl_take isl_union_map *umap)
1418 {
1419         return inplace(umap, &isl_map_detect_equalities);
1420 }
1421
1422 __isl_give isl_union_set *isl_union_set_detect_equalities(
1423         __isl_take isl_union_set *uset)
1424 {
1425         return isl_union_map_detect_equalities(uset);
1426 }
1427
1428 __isl_give isl_union_map *isl_union_map_compute_divs(
1429         __isl_take isl_union_map *umap)
1430 {
1431         return inplace(umap, &isl_map_compute_divs);
1432 }
1433
1434 __isl_give isl_union_set *isl_union_set_compute_divs(
1435         __isl_take isl_union_set *uset)
1436 {
1437         return isl_union_map_compute_divs(uset);
1438 }
1439
1440 static int lexmin_entry(void **entry, void *user)
1441 {
1442         isl_map **map = (isl_map **)entry;
1443
1444         *map = isl_map_lexmin(*map);
1445
1446         return *map ? 0 : -1;
1447 }
1448
1449 __isl_give isl_union_map *isl_union_map_lexmin(
1450         __isl_take isl_union_map *umap)
1451 {
1452         return un_op(umap, &lexmin_entry);
1453 }
1454
1455 __isl_give isl_union_set *isl_union_set_lexmin(
1456         __isl_take isl_union_set *uset)
1457 {
1458         return isl_union_map_lexmin(uset);
1459 }
1460
1461 static int lexmax_entry(void **entry, void *user)
1462 {
1463         isl_map **map = (isl_map **)entry;
1464
1465         *map = isl_map_lexmax(*map);
1466
1467         return *map ? 0 : -1;
1468 }
1469
1470 __isl_give isl_union_map *isl_union_map_lexmax(
1471         __isl_take isl_union_map *umap)
1472 {
1473         return un_op(umap, &lexmax_entry);
1474 }
1475
1476 __isl_give isl_union_set *isl_union_set_lexmax(
1477         __isl_take isl_union_set *uset)
1478 {
1479         return isl_union_map_lexmax(uset);
1480 }
1481
1482 static int universe_entry(void **entry, void *user)
1483 {
1484         isl_map *map = *entry;
1485         isl_union_map **res = user;
1486
1487         map = isl_map_universe(isl_map_get_space(map));
1488         *res = isl_union_map_add_map(*res, map);
1489
1490         return 0;
1491 }
1492
1493 __isl_give isl_union_map *isl_union_map_universe(__isl_take isl_union_map *umap)
1494 {
1495         return cond_un_op(umap, &universe_entry);
1496 }
1497
1498 __isl_give isl_union_set *isl_union_set_universe(__isl_take isl_union_set *uset)
1499 {
1500         return isl_union_map_universe(uset);
1501 }
1502
1503 static int reverse_entry(void **entry, void *user)
1504 {
1505         isl_map *map = *entry;
1506         isl_union_map **res = user;
1507
1508         *res = isl_union_map_add_map(*res, isl_map_reverse(isl_map_copy(map)));
1509
1510         return 0;
1511 }
1512
1513 __isl_give isl_union_map *isl_union_map_reverse(__isl_take isl_union_map *umap)
1514 {
1515         return cond_un_op(umap, &reverse_entry);
1516 }
1517
1518 static int params_entry(void **entry, void *user)
1519 {
1520         isl_map *map = *entry;
1521         isl_union_set **res = user;
1522
1523         *res = isl_union_set_add_set(*res, isl_map_params(isl_map_copy(map)));
1524
1525         return 0;
1526 }
1527
1528 /* Compute the parameter domain of the given union map.
1529  */
1530 __isl_give isl_set *isl_union_map_params(__isl_take isl_union_map *umap)
1531 {
1532         int empty;
1533
1534         empty = isl_union_map_is_empty(umap);
1535         if (empty < 0)
1536                 return isl_union_map_free(umap);
1537         if (empty)
1538                 return isl_set_empty(isl_union_map_get_space(umap));
1539         return isl_set_from_union_set(cond_un_op(umap, &params_entry));
1540 }
1541
1542 /* Compute the parameter domain of the given union set.
1543  */
1544 __isl_give isl_set *isl_union_set_params(__isl_take isl_union_set *uset)
1545 {
1546         return isl_union_map_params(uset);
1547 }
1548
1549 static int domain_entry(void **entry, void *user)
1550 {
1551         isl_map *map = *entry;
1552         isl_union_set **res = user;
1553
1554         *res = isl_union_set_add_set(*res, isl_map_domain(isl_map_copy(map)));
1555
1556         return 0;
1557 }
1558
1559 __isl_give isl_union_set *isl_union_map_domain(__isl_take isl_union_map *umap)
1560 {
1561         return cond_un_op(umap, &domain_entry);
1562 }
1563
1564 static int range_entry(void **entry, void *user)
1565 {
1566         isl_map *map = *entry;
1567         isl_union_set **res = user;
1568
1569         *res = isl_union_set_add_set(*res, isl_map_range(isl_map_copy(map)));
1570
1571         return 0;
1572 }
1573
1574 __isl_give isl_union_set *isl_union_map_range(__isl_take isl_union_map *umap)
1575 {
1576         return cond_un_op(umap, &range_entry);
1577 }
1578
1579 static int domain_map_entry(void **entry, void *user)
1580 {
1581         isl_map *map = *entry;
1582         isl_union_set **res = user;
1583
1584         *res = isl_union_map_add_map(*res,
1585                                         isl_map_domain_map(isl_map_copy(map)));
1586
1587         return 0;
1588 }
1589
1590 __isl_give isl_union_map *isl_union_map_domain_map(
1591         __isl_take isl_union_map *umap)
1592 {
1593         return cond_un_op(umap, &domain_map_entry);
1594 }
1595
1596 static int range_map_entry(void **entry, void *user)
1597 {
1598         isl_map *map = *entry;
1599         isl_union_set **res = user;
1600
1601         *res = isl_union_map_add_map(*res,
1602                                         isl_map_range_map(isl_map_copy(map)));
1603
1604         return 0;
1605 }
1606
1607 __isl_give isl_union_map *isl_union_map_range_map(
1608         __isl_take isl_union_map *umap)
1609 {
1610         return cond_un_op(umap, &range_map_entry);
1611 }
1612
1613 static int deltas_entry(void **entry, void *user)
1614 {
1615         isl_map *map = *entry;
1616         isl_union_set **res = user;
1617
1618         if (!isl_space_tuple_match(map->dim, isl_dim_in, map->dim, isl_dim_out))
1619                 return 0;
1620
1621         *res = isl_union_set_add_set(*res, isl_map_deltas(isl_map_copy(map)));
1622
1623         return 0;
1624 }
1625
1626 __isl_give isl_union_set *isl_union_map_deltas(__isl_take isl_union_map *umap)
1627 {
1628         return cond_un_op(umap, &deltas_entry);
1629 }
1630
1631 static int deltas_map_entry(void **entry, void *user)
1632 {
1633         isl_map *map = *entry;
1634         isl_union_map **res = user;
1635
1636         if (!isl_space_tuple_match(map->dim, isl_dim_in, map->dim, isl_dim_out))
1637                 return 0;
1638
1639         *res = isl_union_map_add_map(*res,
1640                                      isl_map_deltas_map(isl_map_copy(map)));
1641
1642         return 0;
1643 }
1644
1645 __isl_give isl_union_map *isl_union_map_deltas_map(
1646         __isl_take isl_union_map *umap)
1647 {
1648         return cond_un_op(umap, &deltas_map_entry);
1649 }
1650
1651 static int identity_entry(void **entry, void *user)
1652 {
1653         isl_set *set = *entry;
1654         isl_union_map **res = user;
1655
1656         *res = isl_union_map_add_map(*res, isl_set_identity(isl_set_copy(set)));
1657
1658         return 0;
1659 }
1660
1661 __isl_give isl_union_map *isl_union_set_identity(__isl_take isl_union_set *uset)
1662 {
1663         return cond_un_op(uset, &identity_entry);
1664 }
1665
1666 static int unwrap_entry(void **entry, void *user)
1667 {
1668         isl_set *set = *entry;
1669         isl_union_set **res = user;
1670
1671         if (!isl_set_is_wrapping(set))
1672                 return 0;
1673
1674         *res = isl_union_map_add_map(*res, isl_set_unwrap(isl_set_copy(set)));
1675
1676         return 0;
1677 }
1678
1679 __isl_give isl_union_map *isl_union_set_unwrap(__isl_take isl_union_set *uset)
1680 {
1681         return cond_un_op(uset, &unwrap_entry);
1682 }
1683
1684 static int wrap_entry(void **entry, void *user)
1685 {
1686         isl_map *map = *entry;
1687         isl_union_set **res = user;
1688
1689         *res = isl_union_set_add_set(*res, isl_map_wrap(isl_map_copy(map)));
1690
1691         return 0;
1692 }
1693
1694 __isl_give isl_union_set *isl_union_map_wrap(__isl_take isl_union_map *umap)
1695 {
1696         return cond_un_op(umap, &wrap_entry);
1697 }
1698
1699 struct isl_union_map_is_subset_data {
1700         isl_union_map *umap2;
1701         int is_subset;
1702 };
1703
1704 static int is_subset_entry(void **entry, void *user)
1705 {
1706         struct isl_union_map_is_subset_data *data = user;
1707         uint32_t hash;
1708         struct isl_hash_table_entry *entry2;
1709         isl_map *map = *entry;
1710
1711         hash = isl_space_get_hash(map->dim);
1712         entry2 = isl_hash_table_find(data->umap2->dim->ctx, &data->umap2->table,
1713                                      hash, &has_dim, map->dim, 0);
1714         if (!entry2) {
1715                 int empty = isl_map_is_empty(map);
1716                 if (empty < 0)
1717                         return -1;
1718                 if (empty)
1719                         return 0;
1720                 data->is_subset = 0;
1721                 return -1;
1722         }
1723
1724         data->is_subset = isl_map_is_subset(map, entry2->data);
1725         if (data->is_subset < 0 || !data->is_subset)
1726                 return -1;
1727
1728         return 0;
1729 }
1730
1731 int isl_union_map_is_subset(__isl_keep isl_union_map *umap1,
1732         __isl_keep isl_union_map *umap2)
1733 {
1734         struct isl_union_map_is_subset_data data = { NULL, 1 };
1735
1736         umap1 = isl_union_map_copy(umap1);
1737         umap2 = isl_union_map_copy(umap2);
1738         umap1 = isl_union_map_align_params(umap1, isl_union_map_get_space(umap2));
1739         umap2 = isl_union_map_align_params(umap2, isl_union_map_get_space(umap1));
1740
1741         if (!umap1 || !umap2)
1742                 goto error;
1743
1744         data.umap2 = umap2;
1745         if (isl_hash_table_foreach(umap1->dim->ctx, &umap1->table,
1746                                    &is_subset_entry, &data) < 0 &&
1747             data.is_subset)
1748                 goto error;
1749
1750         isl_union_map_free(umap1);
1751         isl_union_map_free(umap2);
1752
1753         return data.is_subset;
1754 error:
1755         isl_union_map_free(umap1);
1756         isl_union_map_free(umap2);
1757         return -1;
1758 }
1759
1760 int isl_union_set_is_subset(__isl_keep isl_union_set *uset1,
1761         __isl_keep isl_union_set *uset2)
1762 {
1763         return isl_union_map_is_subset(uset1, uset2);
1764 }
1765
1766 int isl_union_map_is_equal(__isl_keep isl_union_map *umap1,
1767         __isl_keep isl_union_map *umap2)
1768 {
1769         int is_subset;
1770
1771         if (!umap1 || !umap2)
1772                 return -1;
1773         is_subset = isl_union_map_is_subset(umap1, umap2);
1774         if (is_subset != 1)
1775                 return is_subset;
1776         is_subset = isl_union_map_is_subset(umap2, umap1);
1777         return is_subset;
1778 }
1779
1780 int isl_union_set_is_equal(__isl_keep isl_union_set *uset1,
1781         __isl_keep isl_union_set *uset2)
1782 {
1783         return isl_union_map_is_equal(uset1, uset2);
1784 }
1785
1786 int isl_union_map_is_strict_subset(__isl_keep isl_union_map *umap1,
1787         __isl_keep isl_union_map *umap2)
1788 {
1789         int is_subset;
1790
1791         if (!umap1 || !umap2)
1792                 return -1;
1793         is_subset = isl_union_map_is_subset(umap1, umap2);
1794         if (is_subset != 1)
1795                 return is_subset;
1796         is_subset = isl_union_map_is_subset(umap2, umap1);
1797         if (is_subset == -1)
1798                 return is_subset;
1799         return !is_subset;
1800 }
1801
1802 int isl_union_set_is_strict_subset(__isl_keep isl_union_set *uset1,
1803         __isl_keep isl_union_set *uset2)
1804 {
1805         return isl_union_map_is_strict_subset(uset1, uset2);
1806 }
1807
1808 static int sample_entry(void **entry, void *user)
1809 {
1810         isl_basic_map **sample = (isl_basic_map **)user;
1811         isl_map *map = *entry;
1812
1813         *sample = isl_map_sample(isl_map_copy(map));
1814         if (!*sample)
1815                 return -1;
1816         if (!isl_basic_map_plain_is_empty(*sample))
1817                 return -1;
1818         return 0;
1819 }
1820
1821 __isl_give isl_basic_map *isl_union_map_sample(__isl_take isl_union_map *umap)
1822 {
1823         isl_basic_map *sample = NULL;
1824
1825         if (!umap)
1826                 return NULL;
1827
1828         if (isl_hash_table_foreach(umap->dim->ctx, &umap->table,
1829                                    &sample_entry, &sample) < 0 &&
1830             !sample)
1831                 goto error;
1832
1833         if (!sample)
1834                 sample = isl_basic_map_empty(isl_union_map_get_space(umap));
1835
1836         isl_union_map_free(umap);
1837
1838         return sample;
1839 error:
1840         isl_union_map_free(umap);
1841         return NULL;
1842 }
1843
1844 __isl_give isl_basic_set *isl_union_set_sample(__isl_take isl_union_set *uset)
1845 {
1846         return (isl_basic_set *)isl_union_map_sample(uset);
1847 }
1848
1849 struct isl_forall_data {
1850         int res;
1851         int (*fn)(__isl_keep isl_map *map);
1852 };
1853
1854 static int forall_entry(void **entry, void *user)
1855 {
1856         struct isl_forall_data *data = user;
1857         isl_map *map = *entry;
1858
1859         data->res = data->fn(map);
1860         if (data->res < 0)
1861                 return -1;
1862
1863         if (!data->res)
1864                 return -1;
1865
1866         return 0;
1867 }
1868
1869 static int union_map_forall(__isl_keep isl_union_map *umap,
1870         int (*fn)(__isl_keep isl_map *map))
1871 {
1872         struct isl_forall_data data = { 1, fn };
1873
1874         if (!umap)
1875                 return -1;
1876
1877         if (isl_hash_table_foreach(umap->dim->ctx, &umap->table,
1878                                    &forall_entry, &data) < 0 && data.res)
1879                 return -1;
1880
1881         return data.res;
1882 }
1883
1884 struct isl_forall_user_data {
1885         int res;
1886         int (*fn)(__isl_keep isl_map *map, void *user);
1887         void *user;
1888 };
1889
1890 static int forall_user_entry(void **entry, void *user)
1891 {
1892         struct isl_forall_user_data *data = user;
1893         isl_map *map = *entry;
1894
1895         data->res = data->fn(map, data->user);
1896         if (data->res < 0)
1897                 return -1;
1898
1899         if (!data->res)
1900                 return -1;
1901
1902         return 0;
1903 }
1904
1905 /* Check if fn(map, user) returns true for all maps "map" in umap.
1906  */
1907 static int union_map_forall_user(__isl_keep isl_union_map *umap,
1908         int (*fn)(__isl_keep isl_map *map, void *user), void *user)
1909 {
1910         struct isl_forall_user_data data = { 1, fn, user };
1911
1912         if (!umap)
1913                 return -1;
1914
1915         if (isl_hash_table_foreach(umap->dim->ctx, &umap->table,
1916                                    &forall_user_entry, &data) < 0 && data.res)
1917                 return -1;
1918
1919         return data.res;
1920 }
1921
1922 int isl_union_map_is_empty(__isl_keep isl_union_map *umap)
1923 {
1924         return union_map_forall(umap, &isl_map_is_empty);
1925 }
1926
1927 int isl_union_set_is_empty(__isl_keep isl_union_set *uset)
1928 {
1929         return isl_union_map_is_empty(uset);
1930 }
1931
1932 static int is_subset_of_identity(__isl_keep isl_map *map)
1933 {
1934         int is_subset;
1935         isl_space *dim;
1936         isl_map *id;
1937
1938         if (!map)
1939                 return -1;
1940
1941         if (!isl_space_tuple_match(map->dim, isl_dim_in, map->dim, isl_dim_out))
1942                 return 0;
1943
1944         dim = isl_map_get_space(map);
1945         id = isl_map_identity(dim);
1946
1947         is_subset = isl_map_is_subset(map, id);
1948
1949         isl_map_free(id);
1950
1951         return is_subset;
1952 }
1953
1954 /* Check if the given map is single-valued.
1955  * We simply compute
1956  *
1957  *      M \circ M^-1
1958  *
1959  * and check if the result is a subset of the identity mapping.
1960  */
1961 int isl_union_map_is_single_valued(__isl_keep isl_union_map *umap)
1962 {
1963         isl_union_map *test;
1964         int sv;
1965
1966         if (isl_union_map_n_map(umap) == 1) {
1967                 isl_map *map;
1968                 umap = isl_union_map_copy(umap);
1969                 map = isl_map_from_union_map(umap);
1970                 sv = isl_map_is_single_valued(map);
1971                 isl_map_free(map);
1972                 return sv;
1973         }
1974
1975         test = isl_union_map_reverse(isl_union_map_copy(umap));
1976         test = isl_union_map_apply_range(test, isl_union_map_copy(umap));
1977
1978         sv = union_map_forall(test, &is_subset_of_identity);
1979
1980         isl_union_map_free(test);
1981
1982         return sv;
1983 }
1984
1985 int isl_union_map_is_injective(__isl_keep isl_union_map *umap)
1986 {
1987         int in;
1988
1989         umap = isl_union_map_copy(umap);
1990         umap = isl_union_map_reverse(umap);
1991         in = isl_union_map_is_single_valued(umap);
1992         isl_union_map_free(umap);
1993
1994         return in;
1995 }
1996
1997 /* Represents a map that has a fixed value (v) for one of its
1998  * range dimensions.
1999  * The map in this structure is not reference counted, so it
2000  * is only valid while the isl_union_map from which it was
2001  * obtained is still alive.
2002  */
2003 struct isl_fixed_map {
2004         isl_int v;
2005         isl_map *map;
2006 };
2007
2008 static struct isl_fixed_map *alloc_isl_fixed_map_array(isl_ctx *ctx,
2009         int n)
2010 {
2011         int i;
2012         struct isl_fixed_map *v;
2013
2014         v = isl_calloc_array(ctx, struct isl_fixed_map, n);
2015         if (!v)
2016                 return NULL;
2017         for (i = 0; i < n; ++i)
2018                 isl_int_init(v[i].v);
2019         return v;
2020 }
2021
2022 static void free_isl_fixed_map_array(struct isl_fixed_map *v, int n)
2023 {
2024         int i;
2025
2026         if (!v)
2027                 return;
2028         for (i = 0; i < n; ++i)
2029                 isl_int_clear(v[i].v);
2030         free(v);
2031 }
2032
2033 /* Compare the "v" field of two isl_fixed_map structs.
2034  */
2035 static int qsort_fixed_map_cmp(const void *p1, const void *p2)
2036 {
2037         const struct isl_fixed_map *e1 = (const struct isl_fixed_map *) p1;
2038         const struct isl_fixed_map *e2 = (const struct isl_fixed_map *) p2;
2039
2040         return isl_int_cmp(e1->v, e2->v);
2041 }
2042
2043 /* Internal data structure used while checking whether all maps
2044  * in a union_map have a fixed value for a given output dimension.
2045  * v is the list of maps, with the fixed value for the dimension
2046  * n is the number of maps considered so far
2047  * pos is the output dimension under investigation
2048  */
2049 struct isl_fixed_dim_data {
2050         struct isl_fixed_map *v;
2051         int n;
2052         int pos;
2053 };
2054
2055 static int fixed_at_pos(__isl_keep isl_map *map, void *user)
2056 {
2057         struct isl_fixed_dim_data *data = user;
2058
2059         data->v[data->n].map = map;
2060         return isl_map_plain_is_fixed(map, isl_dim_out, data->pos,
2061                                       &data->v[data->n++].v);
2062 }
2063
2064 static int plain_injective_on_range(__isl_take isl_union_map *umap,
2065         int first, int n_range);
2066
2067 /* Given a list of the maps, with their fixed values at output dimension "pos",
2068  * check whether the ranges of the maps form an obvious partition.
2069  *
2070  * We first sort the maps according to their fixed values.
2071  * If all maps have a different value, then we know the ranges form
2072  * a partition.
2073  * Otherwise, we collect the maps with the same fixed value and
2074  * check whether each such collection is obviously injective
2075  * based on later dimensions.
2076  */
2077 static int separates(struct isl_fixed_map *v, int n,
2078         __isl_take isl_space *dim, int pos, int n_range)
2079 {
2080         int i;
2081
2082         if (!v)
2083                 goto error;
2084
2085         qsort(v, n, sizeof(*v), &qsort_fixed_map_cmp);
2086
2087         for (i = 0; i + 1 < n; ++i) {
2088                 int j, k;
2089                 isl_union_map *part;
2090                 int injective;
2091
2092                 for (j = i + 1; j < n; ++j)
2093                         if (isl_int_ne(v[i].v, v[j].v))
2094                                 break;
2095
2096                 if (j == i + 1)
2097                         continue;
2098
2099                 part = isl_union_map_alloc(isl_space_copy(dim), j - i);
2100                 for (k = i; k < j; ++k)
2101                         part = isl_union_map_add_map(part,
2102                                                      isl_map_copy(v[k].map));
2103
2104                 injective = plain_injective_on_range(part, pos + 1, n_range);
2105                 if (injective < 0)
2106                         goto error;
2107                 if (!injective)
2108                         break;
2109
2110                 i = j - 1;
2111         }
2112
2113         isl_space_free(dim);
2114         free_isl_fixed_map_array(v, n);
2115         return i + 1 >= n;
2116 error:
2117         isl_space_free(dim);
2118         free_isl_fixed_map_array(v, n);
2119         return -1;
2120 }
2121
2122 /* Check whether the maps in umap have obviously distinct ranges.
2123  * In particular, check for an output dimension in the range
2124  * [first,n_range) for which all maps have a fixed value
2125  * and then check if these values, possibly along with fixed values
2126  * at later dimensions, entail distinct ranges.
2127  */
2128 static int plain_injective_on_range(__isl_take isl_union_map *umap,
2129         int first, int n_range)
2130 {
2131         isl_ctx *ctx;
2132         int n;
2133         struct isl_fixed_dim_data data = { NULL };
2134
2135         ctx = isl_union_map_get_ctx(umap);
2136
2137         if (!umap)
2138                 goto error;
2139
2140         n = isl_union_map_n_map(umap);
2141         if (n <= 1) {
2142                 isl_union_map_free(umap);
2143                 return 1;
2144         }
2145
2146         if (first >= n_range) {
2147                 isl_union_map_free(umap);
2148                 return 0;
2149         }
2150
2151         data.v = alloc_isl_fixed_map_array(ctx, n);
2152         if (!data.v)
2153                 goto error;
2154
2155         for (data.pos = first; data.pos < n_range; ++data.pos) {
2156                 int fixed;
2157                 int injective;
2158                 isl_space *dim;
2159
2160                 data.n = 0;
2161                 fixed = union_map_forall_user(umap, &fixed_at_pos, &data);
2162                 if (fixed < 0)
2163                         goto error;
2164                 if (!fixed)
2165                         continue;
2166                 dim = isl_union_map_get_space(umap);
2167                 injective = separates(data.v, n, dim, data.pos, n_range);
2168                 isl_union_map_free(umap);
2169                 return injective;
2170         }
2171
2172         free_isl_fixed_map_array(data.v, n);
2173         isl_union_map_free(umap);
2174
2175         return 0;
2176 error:
2177         free_isl_fixed_map_array(data.v, n);
2178         isl_union_map_free(umap);
2179         return -1;
2180 }
2181
2182 /* Check whether the maps in umap that map to subsets of "ran"
2183  * have obviously distinct ranges.
2184  */
2185 static int plain_injective_on_range_wrap(__isl_keep isl_set *ran, void *user)
2186 {
2187         isl_union_map *umap = user;
2188
2189         umap = isl_union_map_copy(umap);
2190         umap = isl_union_map_intersect_range(umap,
2191                         isl_union_set_from_set(isl_set_copy(ran)));
2192         return plain_injective_on_range(umap, 0, isl_set_dim(ran, isl_dim_set));
2193 }
2194
2195 /* Check if the given union_map is obviously injective.
2196  *
2197  * In particular, we first check if all individual maps are obviously
2198  * injective and then check if all the ranges of these maps are
2199  * obviously disjoint.
2200  */
2201 int isl_union_map_plain_is_injective(__isl_keep isl_union_map *umap)
2202 {
2203         int in;
2204         isl_union_map *univ;
2205         isl_union_set *ran;
2206
2207         in = union_map_forall(umap, &isl_map_plain_is_injective);
2208         if (in < 0)
2209                 return -1;
2210         if (!in)
2211                 return 0;
2212
2213         univ = isl_union_map_universe(isl_union_map_copy(umap));
2214         ran = isl_union_map_range(univ);
2215
2216         in = union_map_forall_user(ran, &plain_injective_on_range_wrap, umap);
2217
2218         isl_union_set_free(ran);
2219
2220         return in;
2221 }
2222
2223 int isl_union_map_is_bijective(__isl_keep isl_union_map *umap)
2224 {
2225         int sv;
2226
2227         sv = isl_union_map_is_single_valued(umap);
2228         if (sv < 0 || !sv)
2229                 return sv;
2230
2231         return isl_union_map_is_injective(umap);
2232 }
2233
2234 static int zip_entry(void **entry, void *user)
2235 {
2236         isl_map *map = *entry;
2237         isl_union_map **res = user;
2238
2239         if (!isl_map_can_zip(map))
2240                 return 0;
2241
2242         *res = isl_union_map_add_map(*res, isl_map_zip(isl_map_copy(map)));
2243
2244         return 0;
2245 }
2246
2247 __isl_give isl_union_map *isl_union_map_zip(__isl_take isl_union_map *umap)
2248 {
2249         return cond_un_op(umap, &zip_entry);
2250 }
2251
2252 static int lift_entry(void **entry, void *user)
2253 {
2254         isl_set *set = *entry;
2255         isl_union_set **res = user;
2256
2257         *res = isl_union_set_add_set(*res, isl_set_lift(isl_set_copy(set)));
2258
2259         return 0;
2260 }
2261
2262 __isl_give isl_union_set *isl_union_set_lift(__isl_take isl_union_set *uset)
2263 {
2264         return cond_un_op(uset, &lift_entry);
2265 }
2266
2267 static int coefficients_entry(void **entry, void *user)
2268 {
2269         isl_set *set = *entry;
2270         isl_union_set **res = user;
2271
2272         set = isl_set_copy(set);
2273         set = isl_set_from_basic_set(isl_set_coefficients(set));
2274         *res = isl_union_set_add_set(*res, set);
2275
2276         return 0;
2277 }
2278
2279 __isl_give isl_union_set *isl_union_set_coefficients(
2280         __isl_take isl_union_set *uset)
2281 {
2282         isl_ctx *ctx;
2283         isl_space *dim;
2284         isl_union_set *res;
2285
2286         if (!uset)
2287                 return NULL;
2288
2289         ctx = isl_union_set_get_ctx(uset);
2290         dim = isl_space_set_alloc(ctx, 0, 0);
2291         res = isl_union_map_alloc(dim, uset->table.n);
2292         if (isl_hash_table_foreach(uset->dim->ctx, &uset->table,
2293                                    &coefficients_entry, &res) < 0)
2294                 goto error;
2295
2296         isl_union_set_free(uset);
2297         return res;
2298 error:
2299         isl_union_set_free(uset);
2300         isl_union_set_free(res);
2301         return NULL;
2302 }
2303
2304 static int solutions_entry(void **entry, void *user)
2305 {
2306         isl_set *set = *entry;
2307         isl_union_set **res = user;
2308
2309         set = isl_set_copy(set);
2310         set = isl_set_from_basic_set(isl_set_solutions(set));
2311         if (!*res)
2312                 *res = isl_union_set_from_set(set);
2313         else
2314                 *res = isl_union_set_add_set(*res, set);
2315
2316         if (!*res)
2317                 return -1;
2318
2319         return 0;
2320 }
2321
2322 __isl_give isl_union_set *isl_union_set_solutions(
2323         __isl_take isl_union_set *uset)
2324 {
2325         isl_union_set *res = NULL;
2326
2327         if (!uset)
2328                 return NULL;
2329
2330         if (uset->table.n == 0) {
2331                 res = isl_union_set_empty(isl_union_set_get_space(uset));
2332                 isl_union_set_free(uset);
2333                 return res;
2334         }
2335
2336         if (isl_hash_table_foreach(uset->dim->ctx, &uset->table,
2337                                    &solutions_entry, &res) < 0)
2338                 goto error;
2339
2340         isl_union_set_free(uset);
2341         return res;
2342 error:
2343         isl_union_set_free(uset);
2344         isl_union_set_free(res);
2345         return NULL;
2346 }