isl_space.c

   1 /*
   2  * Copyright 2008-2009 Katholieke Universiteit Leuven
   3  * Copyright 2010      INRIA Saclay
   4  *
   5  * Use of this software is governed by the GNU LGPLv2.1 license
   6  *
   7  * Written by Sven Verdoolaege, K.U.Leuven, Departement
   8  * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
   9  * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
  10  * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
  11  */
  12
  13 #include <stdlib.h>
  14 #include <isl_space_private.h>
  15 #include <isl_id_private.h>
  16 #include <isl_reordering.h>
  17
  18 isl_ctx *isl_space_get_ctx(__isl_keep isl_space *dim)
  19 {
  20         return dim ? dim->ctx : NULL;
  21 }
  22
  23 __isl_give isl_space *isl_space_alloc(isl_ctx *ctx,
  24                         unsigned nparam, unsigned n_in, unsigned n_out)
  25 {
  26         isl_space *dim;
  27
  28         dim = isl_alloc_type(ctx, struct isl_space);
  29         if (!dim)
  30                 return NULL;
  31
  32         dim->ctx = ctx;
  33         isl_ctx_ref(ctx);
  34         dim->ref = 1;
  35         dim->nparam = nparam;
  36         dim->n_in = n_in;
  37         dim->n_out = n_out;
  38
  39         dim->tuple_id[0] = NULL;
  40         dim->tuple_id[1] = NULL;
  41
  42         dim->nested[0] = NULL;
  43         dim->nested[1] = NULL;
  44
  45         dim->n_id = 0;
  46         dim->ids = NULL;
  47
  48         return dim;
  49 }
  50
  51 /* Mark the space as being that of a set, by setting the domain tuple
  52  * to isl_id_none.
  53  */
  54 static __isl_give isl_space *mark_as_set(__isl_take isl_space *space)
  55 {
  56         space = isl_space_cow(space);
  57         if (!space)
  58                 return NULL;
  59         space = isl_space_set_tuple_id(space, isl_dim_in, &isl_id_none);
  60         return space;
  61 }
  62
  63 /* Is the space that of a set?
  64  */
  65 int isl_space_is_set(__isl_keep isl_space *space)
  66 {
  67         if (!space)
  68                 return -1;
  69         if (space->n_in != 0 || space->nested[0])
  70                 return 0;
  71         if (space->tuple_id[0] != &isl_id_none)
  72                 return 0;
  73         return 1;
  74 }
  75
  76 __isl_give isl_space *isl_space_set_alloc(isl_ctx *ctx,
  77                         unsigned nparam, unsigned dim)
  78 {
  79         isl_space *space;
  80         space = isl_space_alloc(ctx, nparam, 0, dim);
  81         space = mark_as_set(space);
  82         return space;
  83 }
  84
  85 /* Mark the space as being that of a parameter domain, by setting
  86  * both tuples to isl_id_none.
  87  */
  88 static __isl_give isl_space *mark_as_params(isl_space *space)
  89 {
  90         if (!space)
  91                 return NULL;
  92         space = isl_space_set_tuple_id(space, isl_dim_in, &isl_id_none);
  93         space = isl_space_set_tuple_id(space, isl_dim_out, &isl_id_none);
  94         return space;
  95 }
  96
  97 /* Is the space that of a parameter domain?
  98  */
  99 int isl_space_is_params(__isl_keep isl_space *space)
 100 {
 101         if (!space)
 102                 return -1;
 103         if (space->n_in != 0 || space->nested[0] ||
 104             space->n_out != 0 || space->nested[1])
 105                 return 0;
 106         if (space->tuple_id[0] != &isl_id_none)
 107                 return 0;
 108         if (space->tuple_id[1] != &isl_id_none)
 109                 return 0;
 110         return 1;
 111 }
 112
 113 /* Create a space for a parameter domain.
 114  */
 115 __isl_give isl_space *isl_space_params_alloc(isl_ctx *ctx, unsigned nparam)
 116 {
 117         isl_space *space;
 118         space = isl_space_alloc(ctx, nparam, 0, 0);
 119         space = mark_as_params(space);
 120         return space;
 121 }
 122
 123 static unsigned global_pos(__isl_keep isl_space *dim,
 124                                  enum isl_dim_type type, unsigned pos)
 125 {
 126         struct isl_ctx *ctx = dim->ctx;
 127
 128         switch (type) {
 129         case isl_dim_param:
 130                 isl_assert(ctx, pos < dim->nparam,
 131                             return isl_space_dim(dim, isl_dim_all));
 132                 return pos;
 133         case isl_dim_in:
 134                 isl_assert(ctx, pos < dim->n_in,
 135                             return isl_space_dim(dim, isl_dim_all));
 136                 return pos + dim->nparam;
 137         case isl_dim_out:
 138                 isl_assert(ctx, pos < dim->n_out,
 139                             return isl_space_dim(dim, isl_dim_all));
 140                 return pos + dim->nparam + dim->n_in;
 141         default:
 142                 isl_assert(ctx, 0, return isl_space_dim(dim, isl_dim_all));
 143         }
 144         return isl_space_dim(dim, isl_dim_all);
 145 }
 146
 147 /* Extend length of ids array to the total number of dimensions.
 148  */
 149 static __isl_give isl_space *extend_ids(__isl_take isl_space *dim)
 150 {
 151         isl_id **ids;
 152         int i;
 153
 154         if (isl_space_dim(dim, isl_dim_all) <= dim->n_id)
 155                 return dim;
 156
 157         if (!dim->ids) {
 158                 dim->ids = isl_calloc_array(dim->ctx,
 159                                 isl_id *, isl_space_dim(dim, isl_dim_all));
 160                 if (!dim->ids)
 161                         goto error;
 162         } else {
 163                 ids = isl_realloc_array(dim->ctx, dim->ids,
 164                                 isl_id *, isl_space_dim(dim, isl_dim_all));
 165                 if (!ids)
 166                         goto error;
 167                 dim->ids = ids;
 168                 for (i = dim->n_id; i < isl_space_dim(dim, isl_dim_all); ++i)
 169                         dim->ids[i] = NULL;
 170         }
 171
 172         dim->n_id = isl_space_dim(dim, isl_dim_all);
 173
 174         return dim;
 175 error:
 176         isl_space_free(dim);
 177         return NULL;
 178 }
 179
 180 static __isl_give isl_space *set_id(__isl_take isl_space *dim,
 181         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
 182 {
 183         dim = isl_space_cow(dim);
 184
 185         if (!dim)
 186                 goto error;
 187
 188         pos = global_pos(dim, type, pos);
 189         if (pos == isl_space_dim(dim, isl_dim_all))
 190                 goto error;
 191
 192         if (pos >= dim->n_id) {
 193                 if (!id)
 194                         return dim;
 195                 dim = extend_ids(dim);
 196                 if (!dim)
 197                         goto error;
 198         }
 199
 200         dim->ids[pos] = id;
 201
 202         return dim;
 203 error:
 204         isl_id_free(id);
 205         isl_space_free(dim);
 206         return NULL;
 207 }
 208
 209 static __isl_keep isl_id *get_id(__isl_keep isl_space *dim,
 210                                  enum isl_dim_type type, unsigned pos)
 211 {
 212         if (!dim)
 213                 return NULL;
 214
 215         pos = global_pos(dim, type, pos);
 216         if (pos == isl_space_dim(dim, isl_dim_all))
 217                 return NULL;
 218         if (pos >= dim->n_id)
 219                 return NULL;
 220         return dim->ids[pos];
 221 }
 222
 223 static unsigned offset(__isl_keep isl_space *dim, enum isl_dim_type type)
 224 {
 225         switch (type) {
 226         case isl_dim_param:     return 0;
 227         case isl_dim_in:        return dim->nparam;
 228         case isl_dim_out:       return dim->nparam + dim->n_in;
 229         default:                return 0;
 230         }
 231 }
 232
 233 static unsigned n(__isl_keep isl_space *dim, enum isl_dim_type type)
 234 {
 235         switch (type) {
 236         case isl_dim_param:     return dim->nparam;
 237         case isl_dim_in:        return dim->n_in;
 238         case isl_dim_out:       return dim->n_out;
 239         case isl_dim_all:       return dim->nparam + dim->n_in + dim->n_out;
 240         default:                return 0;
 241         }
 242 }
 243
 244 unsigned isl_space_dim(__isl_keep isl_space *dim, enum isl_dim_type type)
 245 {
 246         if (!dim)
 247                 return 0;
 248         return n(dim, type);
 249 }
 250
 251 unsigned isl_space_offset(__isl_keep isl_space *dim, enum isl_dim_type type)
 252 {
 253         if (!dim)
 254                 return 0;
 255         return offset(dim, type);
 256 }
 257
 258 static __isl_give isl_space *copy_ids(__isl_take isl_space *dst,
 259         enum isl_dim_type dst_type, unsigned offset, __isl_keep isl_space *src,
 260         enum isl_dim_type src_type)
 261 {
 262         int i;
 263         isl_id *id;
 264
 265         if (!dst)
 266                 return NULL;
 267
 268         for (i = 0; i < n(src, src_type); ++i) {
 269                 id = get_id(src, src_type, i);
 270                 if (!id)
 271                         continue;
 272                 dst = set_id(dst, dst_type, offset + i, isl_id_copy(id));
 273                 if (!dst)
 274                         return NULL;
 275         }
 276         return dst;
 277 }
 278
 279 __isl_take isl_space *isl_space_dup(__isl_keep isl_space *dim)
 280 {
 281         isl_space *dup;
 282         if (!dim)
 283                 return NULL;
 284         dup = isl_space_alloc(dim->ctx, dim->nparam, dim->n_in, dim->n_out);
 285         if (dim->tuple_id[0] &&
 286             !(dup->tuple_id[0] = isl_id_copy(dim->tuple_id[0])))
 287                 goto error;
 288         if (dim->tuple_id[1] &&
 289             !(dup->tuple_id[1] = isl_id_copy(dim->tuple_id[1])))
 290                 goto error;
 291         if (dim->nested[0] && !(dup->nested[0] = isl_space_copy(dim->nested[0])))
 292                 goto error;
 293         if (dim->nested[1] && !(dup->nested[1] = isl_space_copy(dim->nested[1])))
 294                 goto error;
 295         if (!dim->ids)
 296                 return dup;
 297         dup = copy_ids(dup, isl_dim_param, 0, dim, isl_dim_param);
 298         dup = copy_ids(dup, isl_dim_in, 0, dim, isl_dim_in);
 299         dup = copy_ids(dup, isl_dim_out, 0, dim, isl_dim_out);
 300         return dup;
 301 error:
 302         isl_space_free(dup);
 303         return NULL;
 304 }
 305
 306 __isl_give isl_space *isl_space_cow(__isl_take isl_space *dim)
 307 {
 308         if (!dim)
 309                 return NULL;
 310
 311         if (dim->ref == 1)
 312                 return dim;
 313         dim->ref--;
 314         return isl_space_dup(dim);
 315 }
 316
 317 __isl_give isl_space *isl_space_copy(__isl_keep isl_space *dim)
 318 {
 319         if (!dim)
 320                 return NULL;
 321
 322         dim->ref++;
 323         return dim;
 324 }
 325
 326 void isl_space_free(__isl_take isl_space *dim)
 327 {
 328         int i;
 329
 330         if (!dim)
 331                 return;
 332
 333         if (--dim->ref > 0)
 334                 return;
 335
 336         isl_id_free(dim->tuple_id[0]);
 337         isl_id_free(dim->tuple_id[1]);
 338
 339         isl_space_free(dim->nested[0]);
 340         isl_space_free(dim->nested[1]);
 341
 342         for (i = 0; i < dim->n_id; ++i)
 343                 isl_id_free(dim->ids[i]);
 344         free(dim->ids);
 345         isl_ctx_deref(dim->ctx);
 346
 347         free(dim);
 348 }
 349
 350 /* Check if "s" is a valid dimension or tuple name.
 351  * We currently only forbid names that look like a number.
 352  *
 353  * s is assumed to be non-NULL.
 354  */
 355 static int name_ok(isl_ctx *ctx, const char *s)
 356 {
 357         char *p;
 358         long dummy;
 359
 360         dummy = strtol(s, &p, 0);
 361         if (p != s)
 362                 isl_die(ctx, isl_error_invalid, "name looks like a number",
 363                         return 0);
 364
 365         return 1;
 366 }
 367
 368 /* Is it possible for the given dimension type to have a tuple id?
 369  */
 370 static int space_can_have_id(__isl_keep isl_space *space,
 371         enum isl_dim_type type)
 372 {
 373         if (!space)
 374                 return 0;
 375         if (isl_space_is_params(space))
 376                 isl_die(space->ctx, isl_error_invalid,
 377                         "parameter spaces don't have tuple ids", return 0);
 378         if (isl_space_is_set(space) && type != isl_dim_set)
 379                 isl_die(space->ctx, isl_error_invalid,
 380                         "set spaces can only have a set id", return 0);
 381         if (type != isl_dim_in && type != isl_dim_out)
 382                 isl_die(space->ctx, isl_error_invalid,
 383                         "only input, output and set tuples can have ids",
 384                         return 0);
 385
 386         return 1;
 387 }
 388
 389 /* Does the tuple have an id?
 390  */
 391 int isl_space_has_tuple_id(__isl_keep isl_space *dim, enum isl_dim_type type)
 392 {
 393         if (!space_can_have_id(dim, type))
 394                 return -1;
 395         return dim->tuple_id[type - isl_dim_in] != NULL;
 396 }
 397
 398 __isl_give isl_id *isl_space_get_tuple_id(__isl_keep isl_space *dim,
 399         enum isl_dim_type type)
 400 {
 401         int has_id;
 402
 403         if (!dim)
 404                 return NULL;
 405         has_id = isl_space_has_tuple_id(dim, type);
 406         if (has_id < 0)
 407                 return NULL;
 408         if (!has_id)
 409                 isl_die(dim->ctx, isl_error_invalid,
 410                         "tuple has no id", return NULL);
 411         return isl_id_copy(dim->tuple_id[type - isl_dim_in]);
 412 }
 413
 414 __isl_give isl_space *isl_space_set_tuple_id(__isl_take isl_space *dim,
 415         enum isl_dim_type type, __isl_take isl_id *id)
 416 {
 417         dim = isl_space_cow(dim);
 418         if (!dim || !id)
 419                 goto error;
 420         if (type != isl_dim_in && type != isl_dim_out)
 421                 isl_die(dim->ctx, isl_error_invalid,
 422                         "only input, output and set tuples can have names",
 423                         goto error);
 424
 425         isl_id_free(dim->tuple_id[type - isl_dim_in]);
 426         dim->tuple_id[type - isl_dim_in] = id;
 427
 428         return dim;
 429 error:
 430         isl_id_free(id);
 431         isl_space_free(dim);
 432         return NULL;
 433 }
 434
 435 __isl_give isl_space *isl_space_reset_tuple_id(__isl_take isl_space *dim,
 436         enum isl_dim_type type)
 437 {
 438         dim = isl_space_cow(dim);
 439         if (!dim)
 440                 return NULL;
 441         if (type != isl_dim_in && type != isl_dim_out)
 442                 isl_die(dim->ctx, isl_error_invalid,
 443                         "only input, output and set tuples can have names",
 444                         goto error);
 445
 446         isl_id_free(dim->tuple_id[type - isl_dim_in]);
 447         dim->tuple_id[type - isl_dim_in] = NULL;
 448
 449         return dim;
 450 error:
 451         isl_space_free(dim);
 452         return NULL;
 453 }
 454
 455 /* Set the id of the given dimension of "space" to "id".
 456  * If the dimension already has an id, then it is replaced.
 457  * If the dimension is a parameter, then we need to change it
 458  * in the nested spaces (if any) as well.
 459  */
 460 __isl_give isl_space *isl_space_set_dim_id(__isl_take isl_space *space,
 461         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
 462 {
 463         space = isl_space_cow(space);
 464         if (!space || !id)
 465                 goto error;
 466
 467         if (type == isl_dim_param) {
 468                 int i;
 469
 470                 for (i = 0; i < 2; ++i) {
 471                         if (!space->nested[i])
 472                                 continue;
 473                         space->nested[i] =
 474                                 isl_space_set_dim_id(space->nested[i],
 475                                                 type, pos, isl_id_copy(id));
 476                         if (!space->nested[i])
 477                                 goto error;
 478                 }
 479         }
 480
 481         isl_id_free(get_id(space, type, pos));
 482         return set_id(space, type, pos, id);
 483 error:
 484         isl_id_free(id);
 485         isl_space_free(space);
 486         return NULL;
 487 }
 488
 489 /* Reset the id of the given dimension of "space".
 490  * If the dimension already has an id, then it is removed.
 491  * If the dimension is a parameter, then we need to reset it
 492  * in the nested spaces (if any) as well.
 493  */
 494 __isl_give isl_space *isl_space_reset_dim_id(__isl_take isl_space *space,
 495         enum isl_dim_type type, unsigned pos)
 496 {
 497         space = isl_space_cow(space);
 498         if (!space)
 499                 goto error;
 500
 501         if (type == isl_dim_param) {
 502                 int i;
 503
 504                 for (i = 0; i < 2; ++i) {
 505                         if (!space->nested[i])
 506                                 continue;
 507                         space->nested[i] =
 508                                 isl_space_reset_dim_id(space->nested[i],
 509                                                         type, pos);
 510                         if (!space->nested[i])
 511                                 goto error;
 512                 }
 513         }
 514
 515         isl_id_free(get_id(space, type, pos));
 516         return set_id(space, type, pos, NULL);
 517 error:
 518         isl_space_free(space);
 519         return NULL;
 520 }
 521
 522 int isl_space_has_dim_id(__isl_keep isl_space *dim,
 523         enum isl_dim_type type, unsigned pos)
 524 {
 525         if (!dim)
 526                 return -1;
 527         return get_id(dim, type, pos) != NULL;
 528 }
 529
 530 __isl_give isl_id *isl_space_get_dim_id(__isl_keep isl_space *dim,
 531         enum isl_dim_type type, unsigned pos)
 532 {
 533         if (!dim)
 534                 return NULL;
 535         if (!get_id(dim, type, pos))
 536                 isl_die(dim->ctx, isl_error_invalid,
 537                         "dim has no id", return NULL);
 538         return isl_id_copy(get_id(dim, type, pos));
 539 }
 540
 541 __isl_give isl_space *isl_space_set_tuple_name(__isl_take isl_space *dim,
 542         enum isl_dim_type type, const char *s)
 543 {
 544         isl_id *id;
 545
 546         if (!dim)
 547                 return NULL;
 548
 549         if (!s)
 550                 return isl_space_reset_tuple_id(dim, type);
 551
 552         if (!name_ok(dim->ctx, s))
 553                 goto error;
 554
 555         id = isl_id_alloc(dim->ctx, s, NULL);
 556         return isl_space_set_tuple_id(dim, type, id);
 557 error:
 558         isl_space_free(dim);
 559         return NULL;
 560 }
 561
 562 /* Does the tuple have a name?
 563  */
 564 int isl_space_has_tuple_name(__isl_keep isl_space *space,
 565         enum isl_dim_type type)
 566 {
 567         isl_id *id;
 568
 569         if (!space_can_have_id(space, type))
 570                 return -1;
 571         id = space->tuple_id[type - isl_dim_in];
 572         return id && id->name;
 573 }
 574
 575 const char *isl_space_get_tuple_name(__isl_keep isl_space *dim,
 576          enum isl_dim_type type)
 577 {
 578         isl_id *id;
 579         if (!dim)
 580                 return NULL;
 581         if (type != isl_dim_in && type != isl_dim_out)
 582                 return NULL;
 583         id = dim->tuple_id[type - isl_dim_in];
 584         return id ? id->name : NULL;
 585 }
 586
 587 __isl_give isl_space *isl_space_set_dim_name(__isl_take isl_space *dim,
 588                                  enum isl_dim_type type, unsigned pos,
 589                                  const char *s)
 590 {
 591         isl_id *id;
 592
 593         if (!dim)
 594                 return NULL;
 595         if (!s)
 596                 return isl_space_reset_dim_id(dim, type, pos);
 597         if (!name_ok(dim->ctx, s))
 598                 goto error;
 599         id = isl_id_alloc(dim->ctx, s, NULL);
 600         return isl_space_set_dim_id(dim, type, pos, id);
 601 error:
 602         isl_space_free(dim);
 603         return NULL;
 604 }
 605
 606 /* Does the given dimension have a name?
 607  */
 608 int isl_space_has_dim_name(__isl_keep isl_space *space,
 609         enum isl_dim_type type, unsigned pos)
 610 {
 611         isl_id *id;
 612
 613         if (!space)
 614                 return -1;
 615         id = get_id(space, type, pos);
 616         return id && id->name;
 617 }
 618
 619 __isl_keep const char *isl_space_get_dim_name(__isl_keep isl_space *dim,
 620                                  enum isl_dim_type type, unsigned pos)
 621 {
 622         isl_id *id = get_id(dim, type, pos);
 623         return id ? id->name : NULL;
 624 }
 625
 626 int isl_space_find_dim_by_id(__isl_keep isl_space *dim, enum isl_dim_type type,
 627         __isl_keep isl_id *id)
 628 {
 629         int i;
 630         int offset;
 631         int n;
 632
 633         if (!dim || !id)
 634                 return -1;
 635
 636         offset = isl_space_offset(dim, type);
 637         n = isl_space_dim(dim, type);
 638         for (i = 0; i < n && offset + i < dim->n_id; ++i)
 639                 if (dim->ids[offset + i] == id)
 640                         return i;
 641
 642         return -1;
 643 }
 644
 645 int isl_space_find_dim_by_name(__isl_keep isl_space *space,
 646         enum isl_dim_type type, const char *name)
 647 {
 648         int i;
 649         int offset;
 650         int n;
 651
 652         if (!space || !name)
 653                 return -1;
 654
 655         offset = isl_space_offset(space, type);
 656         n = isl_space_dim(space, type);
 657         for (i = 0; i < n && offset + i < space->n_id; ++i)
 658                 if (space->ids[offset + i]->name &&
 659                     !strcmp(space->ids[offset + i]->name, name))
 660                         return i;
 661
 662         return -1;
 663 }
 664
 665 static __isl_keep isl_id *tuple_id(__isl_keep isl_space *dim,
 666         enum isl_dim_type type)
 667 {
 668         if (!dim)
 669                 return NULL;
 670         if (type == isl_dim_in)
 671                 return dim->tuple_id[0];
 672         if (type == isl_dim_out)
 673                 return dim->tuple_id[1];
 674         return NULL;
 675 }
 676
 677 static __isl_keep isl_space *nested(__isl_keep isl_space *dim,
 678         enum isl_dim_type type)
 679 {
 680         if (!dim)
 681                 return NULL;
 682         if (type == isl_dim_in)
 683                 return dim->nested[0];
 684         if (type == isl_dim_out)
 685                 return dim->nested[1];
 686         return NULL;
 687 }
 688
 689 int isl_space_tuple_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 690                         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 691 {
 692         isl_id *id1, *id2;
 693         isl_space *nested1, *nested2;
 694
 695         if (!dim1 || !dim2)
 696                 return -1;
 697
 698         if (dim1 == dim2 && dim1_type == dim2_type)
 699                 return 1;
 700
 701         if (n(dim1, dim1_type) != n(dim2, dim2_type))
 702                 return 0;
 703         id1 = tuple_id(dim1, dim1_type);
 704         id2 = tuple_id(dim2, dim2_type);
 705         if (!id1 ^ !id2)
 706                 return 0;
 707         if (id1 && id1 != id2)
 708                 return 0;
 709         nested1 = nested(dim1, dim1_type);
 710         nested2 = nested(dim2, dim2_type);
 711         if (!nested1 ^ !nested2)
 712                 return 0;
 713         if (nested1 && !isl_space_is_equal(nested1, nested2))
 714                 return 0;
 715         return 1;
 716 }
 717
 718 static int match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 719         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 720 {
 721         int i;
 722
 723         if (dim1 == dim2 && dim1_type == dim2_type)
 724                 return 1;
 725
 726         if (!isl_space_tuple_match(dim1, dim1_type, dim2, dim2_type))
 727                 return 0;
 728
 729         if (!dim1->ids && !dim2->ids)
 730                 return 1;
 731
 732         for (i = 0; i < n(dim1, dim1_type); ++i) {
 733                 if (get_id(dim1, dim1_type, i) != get_id(dim2, dim2_type, i))
 734                         return 0;
 735         }
 736         return 1;
 737 }
 738
 739 int isl_space_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 740         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 741 {
 742         if (!dim1 || !dim2)
 743                 return -1;
 744
 745         return match(dim1, dim1_type, dim2, dim2_type);
 746 }
 747
 748 static void get_ids(__isl_keep isl_space *dim, enum isl_dim_type type,
 749         unsigned first, unsigned n, __isl_keep isl_id **ids)
 750 {
 751         int i;
 752
 753         for (i = 0; i < n ; ++i)
 754                 ids[i] = get_id(dim, type, first + i);
 755 }
 756
 757 __isl_give isl_space *isl_space_extend(__isl_take isl_space *dim,
 758                         unsigned nparam, unsigned n_in, unsigned n_out)
 759 {
 760         isl_id **ids = NULL;
 761
 762         if (!dim)
 763                 return NULL;
 764         if (dim->nparam == nparam && dim->n_in == n_in && dim->n_out == n_out)
 765                 return dim;
 766
 767         isl_assert(dim->ctx, dim->nparam <= nparam, goto error);
 768         isl_assert(dim->ctx, dim->n_in <= n_in, goto error);
 769         isl_assert(dim->ctx, dim->n_out <= n_out, goto error);
 770
 771         dim = isl_space_cow(dim);
 772
 773         if (dim->ids) {
 774                 ids = isl_calloc_array(dim->ctx, isl_id *,
 775                                          nparam + n_in + n_out);
 776                 if (!ids)
 777                         goto error;
 778                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
 779                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids + nparam);
 780                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + nparam + n_in);
 781                 free(dim->ids);
 782                 dim->ids = ids;
 783                 dim->n_id = nparam + n_in + n_out;
 784         }
 785         dim->nparam = nparam;
 786         dim->n_in = n_in;
 787         dim->n_out = n_out;
 788
 789         return dim;
 790 error:
 791         free(ids);
 792         isl_space_free(dim);
 793         return NULL;
 794 }
 795
 796 __isl_give isl_space *isl_space_add_dims(__isl_take isl_space *dim,
 797         enum isl_dim_type type, unsigned n)
 798 {
 799         if (!dim)
 800                 return NULL;
 801         dim = isl_space_reset(dim, type);
 802         switch (type) {
 803         case isl_dim_param:
 804                 dim = isl_space_extend(dim,
 805                                         dim->nparam + n, dim->n_in, dim->n_out);
 806                 if (dim && dim->nested[0] &&
 807                     !(dim->nested[0] = isl_space_add_dims(dim->nested[0],
 808                                                     isl_dim_param, n)))
 809                         goto error;
 810                 if (dim && dim->nested[1] &&
 811                     !(dim->nested[1] = isl_space_add_dims(dim->nested[1],
 812                                                     isl_dim_param, n)))
 813                         goto error;
 814                 return dim;
 815         case isl_dim_in:
 816                 return isl_space_extend(dim,
 817                                         dim->nparam, dim->n_in + n, dim->n_out);
 818         case isl_dim_out:
 819                 return isl_space_extend(dim,
 820                                         dim->nparam, dim->n_in, dim->n_out + n);
 821         default:
 822                 isl_die(dim->ctx, isl_error_invalid,
 823                         "cannot add dimensions of specified type", goto error);
 824         }
 825 error:
 826         isl_space_free(dim);
 827         return NULL;
 828 }
 829
 830 static int valid_dim_type(enum isl_dim_type type)
 831 {
 832         switch (type) {
 833         case isl_dim_param:
 834         case isl_dim_in:
 835         case isl_dim_out:
 836                 return 1;
 837         default:
 838                 return 0;
 839         }
 840 }
 841
 842 __isl_give isl_space *isl_space_insert_dims(__isl_take isl_space *dim,
 843         enum isl_dim_type type, unsigned pos, unsigned n)
 844 {
 845         isl_id **ids = NULL;
 846
 847         if (!dim)
 848                 return NULL;
 849         if (n == 0)
 850                 return isl_space_reset(dim, type);
 851
 852         if (!valid_dim_type(type))
 853                 isl_die(dim->ctx, isl_error_invalid,
 854                         "cannot insert dimensions of specified type",
 855                         goto error);
 856
 857         isl_assert(dim->ctx, pos <= isl_space_dim(dim, type), goto error);
 858
 859         dim = isl_space_cow(dim);
 860         if (!dim)
 861                 return NULL;
 862
 863         if (dim->ids) {
 864                 enum isl_dim_type t;
 865                 int off;
 866                 int s[3];
 867                 int *size = s - isl_dim_param;
 868                 ids = isl_calloc_array(dim->ctx, isl_id *,
 869                                      dim->nparam + dim->n_in + dim->n_out + n);
 870                 if (!ids)
 871                         goto error;
 872                 off = 0;
 873                 size[isl_dim_param] = dim->nparam;
 874                 size[isl_dim_in] = dim->n_in;
 875                 size[isl_dim_out] = dim->n_out;
 876                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 877                         if (t != type) {
 878                                 get_ids(dim, t, 0, size[t], ids + off);
 879                                 off += size[t];
 880                         } else {
 881                                 get_ids(dim, t, 0, pos, ids + off);
 882                                 off += pos + n;
 883                                 get_ids(dim, t, pos, size[t] - pos, ids + off);
 884                                 off += size[t] - pos;
 885                         }
 886                 }
 887                 free(dim->ids);
 888                 dim->ids = ids;
 889                 dim->n_id = dim->nparam + dim->n_in + dim->n_out + n;
 890         }
 891         switch (type) {
 892         case isl_dim_param:     dim->nparam += n; break;
 893         case isl_dim_in:        dim->n_in += n; break;
 894         case isl_dim_out:       dim->n_out += n; break;
 895         default:                ;
 896         }
 897         dim = isl_space_reset(dim, type);
 898
 899         return dim;
 900 error:
 901         isl_space_free(dim);
 902         return NULL;
 903 }
 904
 905 __isl_give isl_space *isl_space_move_dims(__isl_take isl_space *dim,
 906         enum isl_dim_type dst_type, unsigned dst_pos,
 907         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
 908 {
 909         int i;
 910
 911         if (!dim)
 912                 return NULL;
 913         if (n == 0)
 914                 return dim;
 915
 916         isl_assert(dim->ctx, src_pos + n <= isl_space_dim(dim, src_type),
 917                 goto error);
 918
 919         if (dst_type == src_type && dst_pos == src_pos)
 920                 return dim;
 921
 922         isl_assert(dim->ctx, dst_type != src_type, goto error);
 923
 924         dim = isl_space_reset(dim, src_type);
 925         dim = isl_space_reset(dim, dst_type);
 926
 927         dim = isl_space_cow(dim);
 928         if (!dim)
 929                 return NULL;
 930
 931         if (dim->ids) {
 932                 isl_id **ids;
 933                 enum isl_dim_type t;
 934                 int off;
 935                 int s[3];
 936                 int *size = s - isl_dim_param;
 937                 ids = isl_calloc_array(dim->ctx, isl_id *,
 938                                          dim->nparam + dim->n_in + dim->n_out);
 939                 if (!ids)
 940                         goto error;
 941                 off = 0;
 942                 size[isl_dim_param] = dim->nparam;
 943                 size[isl_dim_in] = dim->n_in;
 944                 size[isl_dim_out] = dim->n_out;
 945                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 946                         if (t == dst_type) {
 947                                 get_ids(dim, t, 0, dst_pos, ids + off);
 948                                 off += dst_pos;
 949                                 get_ids(dim, src_type, src_pos, n, ids + off);
 950                                 off += n;
 951                                 get_ids(dim, t, dst_pos, size[t] - dst_pos,
 952                                                 ids + off);
 953                                 off += size[t] - dst_pos;
 954                         } else if (t == src_type) {
 955                                 get_ids(dim, t, 0, src_pos, ids + off);
 956                                 off += src_pos;
 957                                 get_ids(dim, t, src_pos + n,
 958                                             size[t] - src_pos - n, ids + off);
 959                                 off += size[t] - src_pos - n;
 960                         } else {
 961                                 get_ids(dim, t, 0, size[t], ids + off);
 962                                 off += size[t];
 963                         }
 964                 }
 965                 free(dim->ids);
 966                 dim->ids = ids;
 967                 dim->n_id = dim->nparam + dim->n_in + dim->n_out;
 968         }
 969
 970         switch (dst_type) {
 971         case isl_dim_param:     dim->nparam += n; break;
 972         case isl_dim_in:        dim->n_in += n; break;
 973         case isl_dim_out:       dim->n_out += n; break;
 974         default:                ;
 975         }
 976
 977         switch (src_type) {
 978         case isl_dim_param:     dim->nparam -= n; break;
 979         case isl_dim_in:        dim->n_in -= n; break;
 980         case isl_dim_out:       dim->n_out -= n; break;
 981         default:                ;
 982         }
 983
 984         if (dst_type != isl_dim_param && src_type != isl_dim_param)
 985                 return dim;
 986
 987         for (i = 0; i < 2; ++i) {
 988                 if (!dim->nested[i])
 989                         continue;
 990                 dim->nested[i] = isl_space_replace(dim->nested[i],
 991                                                  isl_dim_param, dim);
 992                 if (!dim->nested[i])
 993                         goto error;
 994         }
 995
 996         return dim;
 997 error:
 998         isl_space_free(dim);
 999         return NULL;
1000 }
1001
1002 __isl_give isl_space *isl_space_join(__isl_take isl_space *left,
1003         __isl_take isl_space *right)
1004 {
1005         isl_space *dim;
1006
1007         if (!left || !right)
1008                 goto error;
1009
1010         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1011                         goto error);
1012         isl_assert(left->ctx,
1013                 isl_space_tuple_match(left, isl_dim_out, right, isl_dim_in),
1014                 goto error);
1015
1016         dim = isl_space_alloc(left->ctx, left->nparam, left->n_in, right->n_out);
1017         if (!dim)
1018                 goto error;
1019
1020         dim = copy_ids(dim, isl_dim_param, 0, left, isl_dim_param);
1021         dim = copy_ids(dim, isl_dim_in, 0, left, isl_dim_in);
1022         dim = copy_ids(dim, isl_dim_out, 0, right, isl_dim_out);
1023
1024         if (dim && left->tuple_id[0] &&
1025             !(dim->tuple_id[0] = isl_id_copy(left->tuple_id[0])))
1026                 goto error;
1027         if (dim && right->tuple_id[1] &&
1028             !(dim->tuple_id[1] = isl_id_copy(right->tuple_id[1])))
1029                 goto error;
1030         if (dim && left->nested[0] &&
1031             !(dim->nested[0] = isl_space_copy(left->nested[0])))
1032                 goto error;
1033         if (dim && right->nested[1] &&
1034             !(dim->nested[1] = isl_space_copy(right->nested[1])))
1035                 goto error;
1036
1037         isl_space_free(left);
1038         isl_space_free(right);
1039
1040         return dim;
1041 error:
1042         isl_space_free(left);
1043         isl_space_free(right);
1044         return NULL;
1045 }
1046
1047 __isl_give isl_space *isl_space_product(__isl_take isl_space *left,
1048         __isl_take isl_space *right)
1049 {
1050         isl_space *dom1, *dom2, *nest1, *nest2;
1051
1052         if (!left || !right)
1053                 goto error;
1054
1055         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1056                         goto error);
1057
1058         dom1 = isl_space_domain(isl_space_copy(left));
1059         dom2 = isl_space_domain(isl_space_copy(right));
1060         nest1 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1061
1062         dom1 = isl_space_range(left);
1063         dom2 = isl_space_range(right);
1064         nest2 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1065
1066         return isl_space_join(isl_space_reverse(nest1), nest2);
1067 error:
1068         isl_space_free(left);
1069         isl_space_free(right);
1070         return NULL;
1071 }
1072
1073 /* Given two spaces { A -> C } and { B -> C }, construct the space
1074  * { [A -> B] -> C }
1075  */
1076 __isl_give isl_space *isl_space_domain_product(__isl_take isl_space *left,
1077         __isl_take isl_space *right)
1078 {
1079         isl_space *ran, *dom1, *dom2, *nest;
1080
1081         if (!left || !right)
1082                 goto error;
1083
1084         if (!match(left, isl_dim_param, right, isl_dim_param))
1085                 isl_die(left->ctx, isl_error_invalid,
1086                         "parameters need to match", goto error);
1087         if (!isl_space_tuple_match(left, isl_dim_out, right, isl_dim_out))
1088                 isl_die(left->ctx, isl_error_invalid,
1089                         "ranges need to match", goto error);
1090
1091         ran = isl_space_range(isl_space_copy(left));
1092
1093         dom1 = isl_space_domain(left);
1094         dom2 = isl_space_domain(right);
1095         nest = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1096
1097         return isl_space_join(isl_space_reverse(nest), ran);
1098 error:
1099         isl_space_free(left);
1100         isl_space_free(right);
1101         return NULL;
1102 }
1103
1104 __isl_give isl_space *isl_space_range_product(__isl_take isl_space *left,
1105         __isl_take isl_space *right)
1106 {
1107         isl_space *dom, *ran1, *ran2, *nest;
1108
1109         if (!left || !right)
1110                 goto error;
1111
1112         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1113                         goto error);
1114         if (!isl_space_tuple_match(left, isl_dim_in, right, isl_dim_in))
1115                 isl_die(left->ctx, isl_error_invalid,
1116                         "domains need to match", goto error);
1117
1118         dom = isl_space_domain(isl_space_copy(left));
1119
1120         ran1 = isl_space_range(left);
1121         ran2 = isl_space_range(right);
1122         nest = isl_space_wrap(isl_space_join(isl_space_reverse(ran1), ran2));
1123
1124         return isl_space_join(isl_space_reverse(dom), nest);
1125 error:
1126         isl_space_free(left);
1127         isl_space_free(right);
1128         return NULL;
1129 }
1130
1131 __isl_give isl_space *isl_space_map_from_set(__isl_take isl_space *dim)
1132 {
1133         isl_ctx *ctx;
1134         isl_id **ids = NULL;
1135
1136         if (!dim)
1137                 return NULL;
1138         ctx = isl_space_get_ctx(dim);
1139         if (!isl_space_is_set(dim))
1140                 isl_die(ctx, isl_error_invalid, "not a set space", goto error);
1141         dim = isl_space_cow(dim);
1142         if (!dim)
1143                 return NULL;
1144         if (dim->ids) {
1145                 ids = isl_calloc_array(dim->ctx, isl_id *,
1146                                         dim->nparam + dim->n_out + dim->n_out);
1147                 if (!ids)
1148                         goto error;
1149                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
1150                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->nparam);
1151         }
1152         dim->n_in = dim->n_out;
1153         if (ids) {
1154                 free(dim->ids);
1155                 dim->ids = ids;
1156                 dim->n_id = dim->nparam + dim->n_out + dim->n_out;
1157                 dim = copy_ids(dim, isl_dim_out, 0, dim, isl_dim_in);
1158         }
1159         isl_id_free(dim->tuple_id[0]);
1160         dim->tuple_id[0] = isl_id_copy(dim->tuple_id[1]);
1161         isl_space_free(dim->nested[0]);
1162         dim->nested[0] = isl_space_copy(dim->nested[1]);
1163         return dim;
1164 error:
1165         isl_space_free(dim);
1166         return NULL;
1167 }
1168
1169 __isl_give isl_space *isl_space_map_from_domain_and_range(
1170         __isl_take isl_space *domain, __isl_take isl_space *range)
1171 {
1172         if (!domain || !range)
1173                 goto error;
1174         if (!isl_space_is_set(domain))
1175                 isl_die(isl_space_get_ctx(domain), isl_error_invalid,
1176                         "domain is not a set space", goto error);
1177         if (!isl_space_is_set(range))
1178                 isl_die(isl_space_get_ctx(range), isl_error_invalid,
1179                         "range is not a set space", goto error);
1180         return isl_space_join(isl_space_reverse(domain), range);
1181 error:
1182         isl_space_free(domain);
1183         isl_space_free(range);
1184         return NULL;
1185 }
1186
1187 static __isl_give isl_space *set_ids(__isl_take isl_space *dim,
1188         enum isl_dim_type type,
1189         unsigned first, unsigned n, __isl_take isl_id **ids)
1190 {
1191         int i;
1192
1193         for (i = 0; i < n ; ++i)
1194                 dim = set_id(dim, type, first + i, ids[i]);
1195
1196         return dim;
1197 }
1198
1199 __isl_give isl_space *isl_space_reverse(__isl_take isl_space *dim)
1200 {
1201         unsigned t;
1202         isl_space *nested;
1203         isl_id **ids = NULL;
1204         isl_id *id;
1205
1206         if (!dim)
1207                 return NULL;
1208         if (match(dim, isl_dim_in, dim, isl_dim_out))
1209                 return dim;
1210
1211         dim = isl_space_cow(dim);
1212         if (!dim)
1213                 return NULL;
1214
1215         id = dim->tuple_id[0];
1216         dim->tuple_id[0] = dim->tuple_id[1];
1217         dim->tuple_id[1] = id;
1218
1219         nested = dim->nested[0];
1220         dim->nested[0] = dim->nested[1];
1221         dim->nested[1] = nested;
1222
1223         if (dim->ids) {
1224                 ids = isl_alloc_array(dim->ctx, isl_id *,
1225                                         dim->n_in + dim->n_out);
1226                 if (!ids)
1227                         goto error;
1228                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids);
1229                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->n_in);
1230         }
1231
1232         t = dim->n_in;
1233         dim->n_in = dim->n_out;
1234         dim->n_out = t;
1235
1236         if (dim->ids) {
1237                 dim = set_ids(dim, isl_dim_out, 0, dim->n_out, ids);
1238                 dim = set_ids(dim, isl_dim_in, 0, dim->n_in, ids + dim->n_out);
1239                 free(ids);
1240         }
1241
1242         return dim;
1243 error:
1244         free(ids);
1245         isl_space_free(dim);
1246         return NULL;
1247 }
1248
1249 __isl_give isl_space *isl_space_drop_dims(__isl_take isl_space *dim,
1250         enum isl_dim_type type, unsigned first, unsigned num)
1251 {
1252         int i;
1253
1254         if (!dim)
1255                 return NULL;
1256
1257         if (num == 0)
1258                 return isl_space_reset(dim, type);
1259
1260         if (!valid_dim_type(type))
1261                 isl_die(dim->ctx, isl_error_invalid,
1262                         "cannot drop dimensions of specified type", goto error);
1263
1264         isl_assert(dim->ctx, first + num <= n(dim, type), goto error);
1265         dim = isl_space_cow(dim);
1266         if (!dim)
1267                 goto error;
1268         if (dim->ids) {
1269                 dim = extend_ids(dim);
1270                 if (!dim)
1271                         goto error;
1272                 for (i = 0; i < num; ++i)
1273                         isl_id_free(get_id(dim, type, first + i));
1274                 for (i = first+num; i < n(dim, type); ++i)
1275                         set_id(dim, type, i - num, get_id(dim, type, i));
1276                 switch (type) {
1277                 case isl_dim_param:
1278                         get_ids(dim, isl_dim_in, 0, dim->n_in,
1279                                 dim->ids + offset(dim, isl_dim_in) - num);
1280                 case isl_dim_in:
1281                         get_ids(dim, isl_dim_out, 0, dim->n_out,
1282                                 dim->ids + offset(dim, isl_dim_out) - num);
1283                 default:
1284                         ;
1285                 }
1286                 dim->n_id -= num;
1287         }
1288         switch (type) {
1289         case isl_dim_param:     dim->nparam -= num; break;
1290         case isl_dim_in:        dim->n_in -= num; break;
1291         case isl_dim_out:       dim->n_out -= num; break;
1292         default:                ;
1293         }
1294         dim = isl_space_reset(dim, type);
1295         if (type == isl_dim_param) {
1296                 if (dim && dim->nested[0] &&
1297                     !(dim->nested[0] = isl_space_drop_dims(dim->nested[0],
1298                                                     isl_dim_param, first, num)))
1299                         goto error;
1300                 if (dim && dim->nested[1] &&
1301                     !(dim->nested[1] = isl_space_drop_dims(dim->nested[1],
1302                                                     isl_dim_param, first, num)))
1303                         goto error;
1304         }
1305         return dim;
1306 error:
1307         isl_space_free(dim);
1308         return NULL;
1309 }
1310
1311 __isl_give isl_space *isl_space_drop_inputs(__isl_take isl_space *dim,
1312                 unsigned first, unsigned n)
1313 {
1314         if (!dim)
1315                 return NULL;
1316         return isl_space_drop_dims(dim, isl_dim_in, first, n);
1317 }
1318
1319 __isl_give isl_space *isl_space_drop_outputs(__isl_take isl_space *dim,
1320                 unsigned first, unsigned n)
1321 {
1322         if (!dim)
1323                 return NULL;
1324         return isl_space_drop_dims(dim, isl_dim_out, first, n);
1325 }
1326
1327 __isl_give isl_space *isl_space_domain(__isl_take isl_space *dim)
1328 {
1329         if (!dim)
1330                 return NULL;
1331         dim = isl_space_drop_outputs(dim, 0, dim->n_out);
1332         dim = isl_space_reverse(dim);
1333         dim = mark_as_set(dim);
1334         return dim;
1335 }
1336
1337 __isl_give isl_space *isl_space_from_domain(__isl_take isl_space *dim)
1338 {
1339         if (!dim)
1340                 return NULL;
1341         if (!isl_space_is_set(dim))
1342                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1343                         "not a set space", goto error);
1344         dim = isl_space_reverse(dim);
1345         dim = isl_space_reset(dim, isl_dim_out);
1346         return dim;
1347 error:
1348         isl_space_free(dim);
1349         return NULL;
1350 }
1351
1352 __isl_give isl_space *isl_space_range(__isl_take isl_space *dim)
1353 {
1354         if (!dim)
1355                 return NULL;
1356         dim = isl_space_drop_inputs(dim, 0, dim->n_in);
1357         dim = mark_as_set(dim);
1358         return dim;
1359 }
1360
1361 __isl_give isl_space *isl_space_from_range(__isl_take isl_space *dim)
1362 {
1363         if (!dim)
1364                 return NULL;
1365         if (!isl_space_is_set(dim))
1366                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1367                         "not a set space", goto error);
1368         return isl_space_reset(dim, isl_dim_in);
1369 error:
1370         isl_space_free(dim);
1371         return NULL;
1372 }
1373
1374 __isl_give isl_space *isl_space_params(__isl_take isl_space *space)
1375 {
1376         if (isl_space_is_params(space))
1377                 return space;
1378         space = isl_space_drop_dims(space,
1379                             isl_dim_in, 0, isl_space_dim(space, isl_dim_in));
1380         space = isl_space_drop_dims(space,
1381                             isl_dim_out, 0, isl_space_dim(space, isl_dim_out));
1382         space = mark_as_params(space);
1383         return space;
1384 }
1385
1386 __isl_give isl_space *isl_space_set_from_params(__isl_take isl_space *space)
1387 {
1388         if (!space)
1389                 return NULL;
1390         if (!isl_space_is_params(space))
1391                 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1392                         "not a parameter space", goto error);
1393         return isl_space_reset(space, isl_dim_set);
1394 error:
1395         isl_space_free(space);
1396         return NULL;
1397 }
1398
1399 __isl_give isl_space *isl_space_as_set_space(__isl_take isl_space *dim)
1400 {
1401         dim = isl_space_cow(dim);
1402         if (!dim)
1403                 return NULL;
1404
1405         dim->n_out += dim->n_in;
1406         dim->n_in = 0;
1407         dim = isl_space_reset(dim, isl_dim_in);
1408         dim = isl_space_reset(dim, isl_dim_out);
1409
1410         return dim;
1411 }
1412
1413 __isl_give isl_space *isl_space_underlying(__isl_take isl_space *dim,
1414         unsigned n_div)
1415 {
1416         int i;
1417
1418         if (!dim)
1419                 return NULL;
1420         if (n_div == 0 &&
1421             dim->nparam == 0 && dim->n_in == 0 && dim->n_id == 0)
1422                 return isl_space_reset(isl_space_reset(dim, isl_dim_in), isl_dim_out);
1423         dim = isl_space_cow(dim);
1424         if (!dim)
1425                 return NULL;
1426         dim->n_out += dim->nparam + dim->n_in + n_div;
1427         dim->nparam = 0;
1428         dim->n_in = 0;
1429
1430         for (i = 0; i < dim->n_id; ++i)
1431                 isl_id_free(get_id(dim, isl_dim_out, i));
1432         dim->n_id = 0;
1433         dim = isl_space_reset(dim, isl_dim_in);
1434         dim = isl_space_reset(dim, isl_dim_out);
1435
1436         return dim;
1437 }
1438
1439 int isl_space_is_equal(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1440 {
1441         if (!dim1 || !dim2)
1442                 return -1;
1443         if (dim1 == dim2)
1444                 return 1;
1445         return match(dim1, isl_dim_param, dim2, isl_dim_param) &&
1446                isl_space_tuple_match(dim1, isl_dim_in, dim2, isl_dim_in) &&
1447                isl_space_tuple_match(dim1, isl_dim_out, dim2, isl_dim_out);
1448 }
1449
1450 /* Is space1 equal to the domain of space2?
1451  */
1452 int isl_space_is_domain(__isl_keep isl_space *space1,
1453         __isl_keep isl_space *space2)
1454 {
1455         if (!space1 || !space2)
1456                 return -1;
1457         if (!isl_space_is_set(space1))
1458                 return 0;
1459         return match(space1, isl_dim_param, space2, isl_dim_param) &&
1460                isl_space_tuple_match(space1, isl_dim_set, space2, isl_dim_in);
1461 }
1462
1463 int isl_space_compatible(__isl_keep isl_space *dim1,
1464         __isl_keep isl_space *dim2)
1465 {
1466         return dim1->nparam == dim2->nparam &&
1467                dim1->n_in + dim1->n_out == dim2->n_in + dim2->n_out;
1468 }
1469
1470 static uint32_t isl_hash_dim(uint32_t hash, __isl_keep isl_space *dim)
1471 {
1472         int i;
1473         isl_id *id;
1474
1475         if (!dim)
1476                 return hash;
1477
1478         hash = isl_hash_builtin(hash, dim->nparam);
1479         hash = isl_hash_builtin(hash, dim->n_in);
1480         hash = isl_hash_builtin(hash, dim->n_out);
1481
1482         for (i = 0; i < dim->nparam; ++i) {
1483                 id = get_id(dim, isl_dim_param, i);
1484                 hash = isl_hash_id(hash, id);
1485         }
1486
1487         id = tuple_id(dim, isl_dim_in);
1488         hash = isl_hash_id(hash, id);
1489         id = tuple_id(dim, isl_dim_out);
1490         hash = isl_hash_id(hash, id);
1491
1492         hash = isl_hash_dim(hash, dim->nested[0]);
1493         hash = isl_hash_dim(hash, dim->nested[1]);
1494
1495         return hash;
1496 }
1497
1498 uint32_t isl_space_get_hash(__isl_keep isl_space *dim)
1499 {
1500         uint32_t hash;
1501
1502         if (!dim)
1503                 return 0;
1504
1505         hash = isl_hash_init();
1506         hash = isl_hash_dim(hash, dim);
1507
1508         return hash;
1509 }
1510
1511 int isl_space_is_wrapping(__isl_keep isl_space *dim)
1512 {
1513         if (!dim)
1514                 return -1;
1515
1516         if (!isl_space_is_set(dim))
1517                 return 0;
1518
1519         return dim->nested[1] != NULL;
1520 }
1521
1522 __isl_give isl_space *isl_space_wrap(__isl_take isl_space *dim)
1523 {
1524         isl_space *wrap;
1525
1526         if (!dim)
1527                 return NULL;
1528
1529         wrap = isl_space_set_alloc(dim->ctx,
1530                                     dim->nparam, dim->n_in + dim->n_out);
1531
1532         wrap = copy_ids(wrap, isl_dim_param, 0, dim, isl_dim_param);
1533         wrap = copy_ids(wrap, isl_dim_set, 0, dim, isl_dim_in);
1534         wrap = copy_ids(wrap, isl_dim_set, dim->n_in, dim, isl_dim_out);
1535
1536         if (!wrap)
1537                 goto error;
1538
1539         wrap->nested[1] = dim;
1540
1541         return wrap;
1542 error:
1543         isl_space_free(dim);
1544         return NULL;
1545 }
1546
1547 __isl_give isl_space *isl_space_unwrap(__isl_take isl_space *dim)
1548 {
1549         isl_space *unwrap;
1550
1551         if (!dim)
1552                 return NULL;
1553
1554         if (!isl_space_is_wrapping(dim))
1555                 isl_die(dim->ctx, isl_error_invalid, "not a wrapping dim",
1556                         goto error);
1557
1558         unwrap = isl_space_copy(dim->nested[1]);
1559         isl_space_free(dim);
1560
1561         return unwrap;
1562 error:
1563         isl_space_free(dim);
1564         return NULL;
1565 }
1566
1567 int isl_space_is_named_or_nested(__isl_keep isl_space *dim, enum isl_dim_type type)
1568 {
1569         if (type != isl_dim_in && type != isl_dim_out)
1570                 return 0;
1571         if (!dim)
1572                 return -1;
1573         if (dim->tuple_id[type - isl_dim_in])
1574                 return 1;
1575         if (dim->nested[type - isl_dim_in])
1576                 return 1;
1577         return 0;
1578 }
1579
1580 int isl_space_may_be_set(__isl_keep isl_space *dim)
1581 {
1582         if (!dim)
1583                 return -1;
1584         if (isl_space_is_set(dim))
1585                 return 1;
1586         if (isl_space_dim(dim, isl_dim_in) != 0)
1587                 return 0;
1588         if (isl_space_is_named_or_nested(dim, isl_dim_in))
1589                 return 0;
1590         return 1;
1591 }
1592
1593 __isl_give isl_space *isl_space_reset(__isl_take isl_space *dim,
1594         enum isl_dim_type type)
1595 {
1596         if (!isl_space_is_named_or_nested(dim, type))
1597                 return dim;
1598
1599         dim = isl_space_cow(dim);
1600         if (!dim)
1601                 return NULL;
1602
1603         isl_id_free(dim->tuple_id[type - isl_dim_in]);
1604         dim->tuple_id[type - isl_dim_in] = NULL;
1605         isl_space_free(dim->nested[type - isl_dim_in]);
1606         dim->nested[type - isl_dim_in] = NULL;
1607
1608         return dim;
1609 }
1610
1611 __isl_give isl_space *isl_space_flatten(__isl_take isl_space *dim)
1612 {
1613         if (!dim)
1614                 return NULL;
1615         if (!dim->nested[0] && !dim->nested[1])
1616                 return dim;
1617
1618         if (dim->nested[0])
1619                 dim = isl_space_reset(dim, isl_dim_in);
1620         if (dim && dim->nested[1])
1621                 dim = isl_space_reset(dim, isl_dim_out);
1622
1623         return dim;
1624 }
1625
1626 __isl_give isl_space *isl_space_flatten_domain(__isl_take isl_space *dim)
1627 {
1628         if (!dim)
1629                 return NULL;
1630         if (!dim->nested[0])
1631                 return dim;
1632
1633         return isl_space_reset(dim, isl_dim_in);
1634 }
1635
1636 __isl_give isl_space *isl_space_flatten_range(__isl_take isl_space *dim)
1637 {
1638         if (!dim)
1639                 return NULL;
1640         if (!dim->nested[1])
1641                 return dim;
1642
1643         return isl_space_reset(dim, isl_dim_out);
1644 }
1645
1646 /* Replace the dimensions of the given type of dst by those of src.
1647  */
1648 __isl_give isl_space *isl_space_replace(__isl_take isl_space *dst,
1649         enum isl_dim_type type, __isl_keep isl_space *src)
1650 {
1651         dst = isl_space_cow(dst);
1652
1653         if (!dst || !src)
1654                 goto error;
1655
1656         dst = isl_space_drop_dims(dst, type, 0, isl_space_dim(dst, type));
1657         dst = isl_space_add_dims(dst, type, isl_space_dim(src, type));
1658         dst = copy_ids(dst, type, 0, src, type);
1659
1660         if (dst && type == isl_dim_param) {
1661                 int i;
1662                 for (i = 0; i <= 1; ++i) {
1663                         if (!dst->nested[i])
1664                                 continue;
1665                         dst->nested[i] = isl_space_replace(dst->nested[i],
1666                                                          type, src);
1667                         if (!dst->nested[i])
1668                                 goto error;
1669                 }
1670         }
1671
1672         return dst;
1673 error:
1674         isl_space_free(dst);
1675         return NULL;
1676 }
1677
1678 /* Given a dimension specification "dim" of a set, create a dimension
1679  * specification for the lift of the set.  In particular, the result
1680  * is of the form [dim -> local[..]], with n_local variables in the
1681  * range of the wrapped map.
1682  */
1683 __isl_give isl_space *isl_space_lift(__isl_take isl_space *dim, unsigned n_local)
1684 {
1685         isl_space *local_dim;
1686
1687         if (!dim)
1688                 return NULL;
1689
1690         local_dim = isl_space_dup(dim);
1691         local_dim = isl_space_drop_dims(local_dim, isl_dim_set, 0, dim->n_out);
1692         local_dim = isl_space_add_dims(local_dim, isl_dim_set, n_local);
1693         local_dim = isl_space_set_tuple_name(local_dim, isl_dim_set, "local");
1694         dim = isl_space_join(isl_space_from_domain(dim),
1695                             isl_space_from_range(local_dim));
1696         dim = isl_space_wrap(dim);
1697         dim = isl_space_set_tuple_name(dim, isl_dim_set, "lifted");
1698
1699         return dim;
1700 }
1701
1702 int isl_space_can_zip(__isl_keep isl_space *dim)
1703 {
1704         if (!dim)
1705                 return -1;
1706
1707         return dim->nested[0] && dim->nested[1];
1708 }
1709
1710 __isl_give isl_space *isl_space_zip(__isl_take isl_space *dim)
1711 {
1712         isl_space *dom, *ran;
1713         isl_space *dom_dom, *dom_ran, *ran_dom, *ran_ran;
1714
1715         if (!isl_space_can_zip(dim))
1716                 isl_die(dim->ctx, isl_error_invalid, "dim cannot be zipped",
1717                         goto error);
1718
1719         if (!dim)
1720                 return NULL;
1721         dom = isl_space_unwrap(isl_space_domain(isl_space_copy(dim)));
1722         ran = isl_space_unwrap(isl_space_range(dim));
1723         dom_dom = isl_space_domain(isl_space_copy(dom));
1724         dom_ran = isl_space_range(dom);
1725         ran_dom = isl_space_domain(isl_space_copy(ran));
1726         ran_ran = isl_space_range(ran);
1727         dom = isl_space_join(isl_space_from_domain(dom_dom),
1728                            isl_space_from_range(ran_dom));
1729         ran = isl_space_join(isl_space_from_domain(dom_ran),
1730                            isl_space_from_range(ran_ran));
1731         return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
1732                             isl_space_from_range(isl_space_wrap(ran)));
1733 error:
1734         isl_space_free(dim);
1735         return NULL;
1736 }
1737
1738 /* Can we apply isl_space_curry to "space"?
1739  * That is, does it have a nested relation in its domain?
1740  */
1741 int isl_space_can_curry(__isl_keep isl_space *space)
1742 {
1743         if (!space)
1744                 return -1;
1745
1746         return !!space->nested[0];
1747 }
1748
1749 /* Given a space (A -> B) -> C, return the corresponding space
1750  * A -> (B -> C).
1751  */
1752 __isl_give isl_space *isl_space_curry(__isl_take isl_space *space)
1753 {
1754         isl_space *dom, *ran;
1755         isl_space *dom_dom, *dom_ran;
1756
1757         if (!space)
1758                 return NULL;
1759
1760         if (!isl_space_can_curry(space))
1761                 isl_die(space->ctx, isl_error_invalid,
1762                         "space cannot be curried", goto error);
1763
1764         dom = isl_space_unwrap(isl_space_domain(isl_space_copy(space)));
1765         ran = isl_space_range(space);
1766         dom_dom = isl_space_domain(isl_space_copy(dom));
1767         dom_ran = isl_space_range(dom);
1768         ran = isl_space_join(isl_space_from_domain(dom_ran),
1769                            isl_space_from_range(ran));
1770         return isl_space_join(isl_space_from_domain(dom_dom),
1771                             isl_space_from_range(isl_space_wrap(ran)));
1772 error:
1773         isl_space_free(space);
1774         return NULL;
1775 }
1776
1777 int isl_space_has_named_params(__isl_keep isl_space *dim)
1778 {
1779         int i;
1780         unsigned off;
1781
1782         if (!dim)
1783                 return -1;
1784         if (dim->nparam == 0)
1785                 return 1;
1786         off = isl_space_offset(dim, isl_dim_param);
1787         if (off + dim->nparam > dim->n_id)
1788                 return 0;
1789         for (i = 0; i < dim->nparam; ++i)
1790                 if (!dim->ids[off + i])
1791                         return 0;
1792         return 1;
1793 }
1794
1795 /* Align the initial parameters of dim1 to match the order in dim2.
1796  */
1797 __isl_give isl_space *isl_space_align_params(__isl_take isl_space *dim1,
1798         __isl_take isl_space *dim2)
1799 {
1800         isl_reordering *exp;
1801
1802         if (!isl_space_has_named_params(dim1) || !isl_space_has_named_params(dim2))
1803                 isl_die(isl_space_get_ctx(dim1), isl_error_invalid,
1804                         "parameter alignment requires named parameters",
1805                         goto error);
1806
1807         dim2 = isl_space_params(dim2);
1808         exp = isl_parameter_alignment_reordering(dim1, dim2);
1809         exp = isl_reordering_extend_space(exp, dim1);
1810         isl_space_free(dim2);
1811         if (!exp)
1812                 return NULL;
1813         dim1 = isl_space_copy(exp->dim);
1814         isl_reordering_free(exp);
1815         return dim1;
1816 error:
1817         isl_space_free(dim1);
1818         isl_space_free(dim2);
1819         return NULL;
1820 }
1821
1822 /* Given the space of set (domain), construct a space for a map
1823  * with as domain the given space and as range the range of "model".
1824  */
1825 __isl_give isl_space *isl_space_extend_domain_with_range(
1826         __isl_take isl_space *domain, __isl_take isl_space *model)
1827 {
1828         isl_space *space;
1829
1830         space = isl_space_from_domain(domain);
1831         space = isl_space_add_dims(space, isl_dim_out,
1832                                     isl_space_dim(model, isl_dim_out));
1833         if (isl_space_has_tuple_id(model, isl_dim_out))
1834                 space = isl_space_set_tuple_id(space, isl_dim_out,
1835                                 isl_space_get_tuple_id(model, isl_dim_out));
1836         isl_space_free(model);
1837         return space;
1838 }