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 /* Insert "n" dimensions of type "type" at position "pos".
 843  * If we are inserting parameters, then they are also inserted in
 844  * any nested spaces.
 845  */
 846 __isl_give isl_space *isl_space_insert_dims(__isl_take isl_space *dim,
 847         enum isl_dim_type type, unsigned pos, unsigned n)
 848 {
 849         isl_id **ids = NULL;
 850
 851         if (!dim)
 852                 return NULL;
 853         if (n == 0)
 854                 return isl_space_reset(dim, type);
 855
 856         if (!valid_dim_type(type))
 857                 isl_die(dim->ctx, isl_error_invalid,
 858                         "cannot insert dimensions of specified type",
 859                         goto error);
 860
 861         isl_assert(dim->ctx, pos <= isl_space_dim(dim, type), goto error);
 862
 863         dim = isl_space_cow(dim);
 864         if (!dim)
 865                 return NULL;
 866
 867         if (dim->ids) {
 868                 enum isl_dim_type t, o = isl_dim_param;
 869                 int off;
 870                 int s[3];
 871                 ids = isl_calloc_array(dim->ctx, isl_id *,
 872                                      dim->nparam + dim->n_in + dim->n_out + n);
 873                 if (!ids)
 874                         goto error;
 875                 off = 0;
 876                 s[isl_dim_param - o] = dim->nparam;
 877                 s[isl_dim_in - o] = dim->n_in;
 878                 s[isl_dim_out - o] = dim->n_out;
 879                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 880                         if (t != type) {
 881                                 get_ids(dim, t, 0, s[t - o], ids + off);
 882                                 off += s[t - o];
 883                         } else {
 884                                 get_ids(dim, t, 0, pos, ids + off);
 885                                 off += pos + n;
 886                                 get_ids(dim, t, pos, s[t - o] - pos, ids + off);
 887                                 off += s[t - o] - pos;
 888                         }
 889                 }
 890                 free(dim->ids);
 891                 dim->ids = ids;
 892                 dim->n_id = dim->nparam + dim->n_in + dim->n_out + n;
 893         }
 894         switch (type) {
 895         case isl_dim_param:     dim->nparam += n; break;
 896         case isl_dim_in:        dim->n_in += n; break;
 897         case isl_dim_out:       dim->n_out += n; break;
 898         default:                ;
 899         }
 900         dim = isl_space_reset(dim, type);
 901
 902         if (type == isl_dim_param) {
 903                 if (dim && dim->nested[0] &&
 904                     !(dim->nested[0] = isl_space_insert_dims(dim->nested[0],
 905                                                     isl_dim_param, pos, n)))
 906                         goto error;
 907                 if (dim && dim->nested[1] &&
 908                     !(dim->nested[1] = isl_space_insert_dims(dim->nested[1],
 909                                                     isl_dim_param, pos, n)))
 910                         goto error;
 911         }
 912
 913         return dim;
 914 error:
 915         isl_space_free(dim);
 916         return NULL;
 917 }
 918
 919 __isl_give isl_space *isl_space_move_dims(__isl_take isl_space *dim,
 920         enum isl_dim_type dst_type, unsigned dst_pos,
 921         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
 922 {
 923         int i;
 924
 925         if (!dim)
 926                 return NULL;
 927         if (n == 0)
 928                 return dim;
 929
 930         isl_assert(dim->ctx, src_pos + n <= isl_space_dim(dim, src_type),
 931                 goto error);
 932
 933         if (dst_type == src_type && dst_pos == src_pos)
 934                 return dim;
 935
 936         isl_assert(dim->ctx, dst_type != src_type, goto error);
 937
 938         dim = isl_space_reset(dim, src_type);
 939         dim = isl_space_reset(dim, dst_type);
 940
 941         dim = isl_space_cow(dim);
 942         if (!dim)
 943                 return NULL;
 944
 945         if (dim->ids) {
 946                 isl_id **ids;
 947                 enum isl_dim_type t, o = isl_dim_param;
 948                 int off;
 949                 int s[3];
 950                 ids = isl_calloc_array(dim->ctx, isl_id *,
 951                                          dim->nparam + dim->n_in + dim->n_out);
 952                 if (!ids)
 953                         goto error;
 954                 off = 0;
 955                 s[isl_dim_param - o] = dim->nparam;
 956                 s[isl_dim_in - o] = dim->n_in;
 957                 s[isl_dim_out - o] = dim->n_out;
 958                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 959                         if (t == dst_type) {
 960                                 get_ids(dim, t, 0, dst_pos, ids + off);
 961                                 off += dst_pos;
 962                                 get_ids(dim, src_type, src_pos, n, ids + off);
 963                                 off += n;
 964                                 get_ids(dim, t, dst_pos, s[t - o] - dst_pos,
 965                                                 ids + off);
 966                                 off += s[t - o] - dst_pos;
 967                         } else if (t == src_type) {
 968                                 get_ids(dim, t, 0, src_pos, ids + off);
 969                                 off += src_pos;
 970                                 get_ids(dim, t, src_pos + n,
 971                                             s[t - o] - src_pos - n, ids + off);
 972                                 off += s[t - o] - src_pos - n;
 973                         } else {
 974                                 get_ids(dim, t, 0, s[t - o], ids + off);
 975                                 off += s[t - o];
 976                         }
 977                 }
 978                 free(dim->ids);
 979                 dim->ids = ids;
 980                 dim->n_id = dim->nparam + dim->n_in + dim->n_out;
 981         }
 982
 983         switch (dst_type) {
 984         case isl_dim_param:     dim->nparam += n; break;
 985         case isl_dim_in:        dim->n_in += n; break;
 986         case isl_dim_out:       dim->n_out += n; break;
 987         default:                ;
 988         }
 989
 990         switch (src_type) {
 991         case isl_dim_param:     dim->nparam -= n; break;
 992         case isl_dim_in:        dim->n_in -= n; break;
 993         case isl_dim_out:       dim->n_out -= n; break;
 994         default:                ;
 995         }
 996
 997         if (dst_type != isl_dim_param && src_type != isl_dim_param)
 998                 return dim;
 999
1000         for (i = 0; i < 2; ++i) {
1001                 if (!dim->nested[i])
1002                         continue;
1003                 dim->nested[i] = isl_space_replace(dim->nested[i],
1004                                                  isl_dim_param, dim);
1005                 if (!dim->nested[i])
1006                         goto error;
1007         }
1008
1009         return dim;
1010 error:
1011         isl_space_free(dim);
1012         return NULL;
1013 }
1014
1015 __isl_give isl_space *isl_space_join(__isl_take isl_space *left,
1016         __isl_take isl_space *right)
1017 {
1018         isl_space *dim;
1019
1020         if (!left || !right)
1021                 goto error;
1022
1023         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1024                         goto error);
1025         isl_assert(left->ctx,
1026                 isl_space_tuple_match(left, isl_dim_out, right, isl_dim_in),
1027                 goto error);
1028
1029         dim = isl_space_alloc(left->ctx, left->nparam, left->n_in, right->n_out);
1030         if (!dim)
1031                 goto error;
1032
1033         dim = copy_ids(dim, isl_dim_param, 0, left, isl_dim_param);
1034         dim = copy_ids(dim, isl_dim_in, 0, left, isl_dim_in);
1035         dim = copy_ids(dim, isl_dim_out, 0, right, isl_dim_out);
1036
1037         if (dim && left->tuple_id[0] &&
1038             !(dim->tuple_id[0] = isl_id_copy(left->tuple_id[0])))
1039                 goto error;
1040         if (dim && right->tuple_id[1] &&
1041             !(dim->tuple_id[1] = isl_id_copy(right->tuple_id[1])))
1042                 goto error;
1043         if (dim && left->nested[0] &&
1044             !(dim->nested[0] = isl_space_copy(left->nested[0])))
1045                 goto error;
1046         if (dim && right->nested[1] &&
1047             !(dim->nested[1] = isl_space_copy(right->nested[1])))
1048                 goto error;
1049
1050         isl_space_free(left);
1051         isl_space_free(right);
1052
1053         return dim;
1054 error:
1055         isl_space_free(left);
1056         isl_space_free(right);
1057         return NULL;
1058 }
1059
1060 __isl_give isl_space *isl_space_product(__isl_take isl_space *left,
1061         __isl_take isl_space *right)
1062 {
1063         isl_space *dom1, *dom2, *nest1, *nest2;
1064
1065         if (!left || !right)
1066                 goto error;
1067
1068         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1069                         goto error);
1070
1071         dom1 = isl_space_domain(isl_space_copy(left));
1072         dom2 = isl_space_domain(isl_space_copy(right));
1073         nest1 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1074
1075         dom1 = isl_space_range(left);
1076         dom2 = isl_space_range(right);
1077         nest2 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1078
1079         return isl_space_join(isl_space_reverse(nest1), nest2);
1080 error:
1081         isl_space_free(left);
1082         isl_space_free(right);
1083         return NULL;
1084 }
1085
1086 /* Given two spaces { A -> C } and { B -> C }, construct the space
1087  * { [A -> B] -> C }
1088  */
1089 __isl_give isl_space *isl_space_domain_product(__isl_take isl_space *left,
1090         __isl_take isl_space *right)
1091 {
1092         isl_space *ran, *dom1, *dom2, *nest;
1093
1094         if (!left || !right)
1095                 goto error;
1096
1097         if (!match(left, isl_dim_param, right, isl_dim_param))
1098                 isl_die(left->ctx, isl_error_invalid,
1099                         "parameters need to match", goto error);
1100         if (!isl_space_tuple_match(left, isl_dim_out, right, isl_dim_out))
1101                 isl_die(left->ctx, isl_error_invalid,
1102                         "ranges need to match", goto error);
1103
1104         ran = isl_space_range(isl_space_copy(left));
1105
1106         dom1 = isl_space_domain(left);
1107         dom2 = isl_space_domain(right);
1108         nest = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1109
1110         return isl_space_join(isl_space_reverse(nest), ran);
1111 error:
1112         isl_space_free(left);
1113         isl_space_free(right);
1114         return NULL;
1115 }
1116
1117 __isl_give isl_space *isl_space_range_product(__isl_take isl_space *left,
1118         __isl_take isl_space *right)
1119 {
1120         isl_space *dom, *ran1, *ran2, *nest;
1121
1122         if (!left || !right)
1123                 goto error;
1124
1125         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1126                         goto error);
1127         if (!isl_space_tuple_match(left, isl_dim_in, right, isl_dim_in))
1128                 isl_die(left->ctx, isl_error_invalid,
1129                         "domains need to match", goto error);
1130
1131         dom = isl_space_domain(isl_space_copy(left));
1132
1133         ran1 = isl_space_range(left);
1134         ran2 = isl_space_range(right);
1135         nest = isl_space_wrap(isl_space_join(isl_space_reverse(ran1), ran2));
1136
1137         return isl_space_join(isl_space_reverse(dom), nest);
1138 error:
1139         isl_space_free(left);
1140         isl_space_free(right);
1141         return NULL;
1142 }
1143
1144 __isl_give isl_space *isl_space_map_from_set(__isl_take isl_space *dim)
1145 {
1146         isl_ctx *ctx;
1147         isl_id **ids = NULL;
1148
1149         if (!dim)
1150                 return NULL;
1151         ctx = isl_space_get_ctx(dim);
1152         if (!isl_space_is_set(dim))
1153                 isl_die(ctx, isl_error_invalid, "not a set space", goto error);
1154         dim = isl_space_cow(dim);
1155         if (!dim)
1156                 return NULL;
1157         if (dim->ids) {
1158                 ids = isl_calloc_array(dim->ctx, isl_id *,
1159                                         dim->nparam + dim->n_out + dim->n_out);
1160                 if (!ids)
1161                         goto error;
1162                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
1163                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->nparam);
1164         }
1165         dim->n_in = dim->n_out;
1166         if (ids) {
1167                 free(dim->ids);
1168                 dim->ids = ids;
1169                 dim->n_id = dim->nparam + dim->n_out + dim->n_out;
1170                 dim = copy_ids(dim, isl_dim_out, 0, dim, isl_dim_in);
1171         }
1172         isl_id_free(dim->tuple_id[0]);
1173         dim->tuple_id[0] = isl_id_copy(dim->tuple_id[1]);
1174         isl_space_free(dim->nested[0]);
1175         dim->nested[0] = isl_space_copy(dim->nested[1]);
1176         return dim;
1177 error:
1178         isl_space_free(dim);
1179         return NULL;
1180 }
1181
1182 __isl_give isl_space *isl_space_map_from_domain_and_range(
1183         __isl_take isl_space *domain, __isl_take isl_space *range)
1184 {
1185         if (!domain || !range)
1186                 goto error;
1187         if (!isl_space_is_set(domain))
1188                 isl_die(isl_space_get_ctx(domain), isl_error_invalid,
1189                         "domain is not a set space", goto error);
1190         if (!isl_space_is_set(range))
1191                 isl_die(isl_space_get_ctx(range), isl_error_invalid,
1192                         "range is not a set space", goto error);
1193         return isl_space_join(isl_space_reverse(domain), range);
1194 error:
1195         isl_space_free(domain);
1196         isl_space_free(range);
1197         return NULL;
1198 }
1199
1200 static __isl_give isl_space *set_ids(__isl_take isl_space *dim,
1201         enum isl_dim_type type,
1202         unsigned first, unsigned n, __isl_take isl_id **ids)
1203 {
1204         int i;
1205
1206         for (i = 0; i < n ; ++i)
1207                 dim = set_id(dim, type, first + i, ids[i]);
1208
1209         return dim;
1210 }
1211
1212 __isl_give isl_space *isl_space_reverse(__isl_take isl_space *dim)
1213 {
1214         unsigned t;
1215         isl_space *nested;
1216         isl_id **ids = NULL;
1217         isl_id *id;
1218
1219         if (!dim)
1220                 return NULL;
1221         if (match(dim, isl_dim_in, dim, isl_dim_out))
1222                 return dim;
1223
1224         dim = isl_space_cow(dim);
1225         if (!dim)
1226                 return NULL;
1227
1228         id = dim->tuple_id[0];
1229         dim->tuple_id[0] = dim->tuple_id[1];
1230         dim->tuple_id[1] = id;
1231
1232         nested = dim->nested[0];
1233         dim->nested[0] = dim->nested[1];
1234         dim->nested[1] = nested;
1235
1236         if (dim->ids) {
1237                 ids = isl_alloc_array(dim->ctx, isl_id *,
1238                                         dim->n_in + dim->n_out);
1239                 if (!ids)
1240                         goto error;
1241                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids);
1242                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->n_in);
1243         }
1244
1245         t = dim->n_in;
1246         dim->n_in = dim->n_out;
1247         dim->n_out = t;
1248
1249         if (dim->ids) {
1250                 dim = set_ids(dim, isl_dim_out, 0, dim->n_out, ids);
1251                 dim = set_ids(dim, isl_dim_in, 0, dim->n_in, ids + dim->n_out);
1252                 free(ids);
1253         }
1254
1255         return dim;
1256 error:
1257         free(ids);
1258         isl_space_free(dim);
1259         return NULL;
1260 }
1261
1262 __isl_give isl_space *isl_space_drop_dims(__isl_take isl_space *dim,
1263         enum isl_dim_type type, unsigned first, unsigned num)
1264 {
1265         int i;
1266
1267         if (!dim)
1268                 return NULL;
1269
1270         if (num == 0)
1271                 return isl_space_reset(dim, type);
1272
1273         if (!valid_dim_type(type))
1274                 isl_die(dim->ctx, isl_error_invalid,
1275                         "cannot drop dimensions of specified type", goto error);
1276
1277         isl_assert(dim->ctx, first + num <= n(dim, type), goto error);
1278         dim = isl_space_cow(dim);
1279         if (!dim)
1280                 goto error;
1281         if (dim->ids) {
1282                 dim = extend_ids(dim);
1283                 if (!dim)
1284                         goto error;
1285                 for (i = 0; i < num; ++i)
1286                         isl_id_free(get_id(dim, type, first + i));
1287                 for (i = first+num; i < n(dim, type); ++i)
1288                         set_id(dim, type, i - num, get_id(dim, type, i));
1289                 switch (type) {
1290                 case isl_dim_param:
1291                         get_ids(dim, isl_dim_in, 0, dim->n_in,
1292                                 dim->ids + offset(dim, isl_dim_in) - num);
1293                 case isl_dim_in:
1294                         get_ids(dim, isl_dim_out, 0, dim->n_out,
1295                                 dim->ids + offset(dim, isl_dim_out) - num);
1296                 default:
1297                         ;
1298                 }
1299                 dim->n_id -= num;
1300         }
1301         switch (type) {
1302         case isl_dim_param:     dim->nparam -= num; break;
1303         case isl_dim_in:        dim->n_in -= num; break;
1304         case isl_dim_out:       dim->n_out -= num; break;
1305         default:                ;
1306         }
1307         dim = isl_space_reset(dim, type);
1308         if (type == isl_dim_param) {
1309                 if (dim && dim->nested[0] &&
1310                     !(dim->nested[0] = isl_space_drop_dims(dim->nested[0],
1311                                                     isl_dim_param, first, num)))
1312                         goto error;
1313                 if (dim && dim->nested[1] &&
1314                     !(dim->nested[1] = isl_space_drop_dims(dim->nested[1],
1315                                                     isl_dim_param, first, num)))
1316                         goto error;
1317         }
1318         return dim;
1319 error:
1320         isl_space_free(dim);
1321         return NULL;
1322 }
1323
1324 __isl_give isl_space *isl_space_drop_inputs(__isl_take isl_space *dim,
1325                 unsigned first, unsigned n)
1326 {
1327         if (!dim)
1328                 return NULL;
1329         return isl_space_drop_dims(dim, isl_dim_in, first, n);
1330 }
1331
1332 __isl_give isl_space *isl_space_drop_outputs(__isl_take isl_space *dim,
1333                 unsigned first, unsigned n)
1334 {
1335         if (!dim)
1336                 return NULL;
1337         return isl_space_drop_dims(dim, isl_dim_out, first, n);
1338 }
1339
1340 __isl_give isl_space *isl_space_domain(__isl_take isl_space *dim)
1341 {
1342         if (!dim)
1343                 return NULL;
1344         dim = isl_space_drop_outputs(dim, 0, dim->n_out);
1345         dim = isl_space_reverse(dim);
1346         dim = mark_as_set(dim);
1347         return dim;
1348 }
1349
1350 __isl_give isl_space *isl_space_from_domain(__isl_take isl_space *dim)
1351 {
1352         if (!dim)
1353                 return NULL;
1354         if (!isl_space_is_set(dim))
1355                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1356                         "not a set space", goto error);
1357         dim = isl_space_reverse(dim);
1358         dim = isl_space_reset(dim, isl_dim_out);
1359         return dim;
1360 error:
1361         isl_space_free(dim);
1362         return NULL;
1363 }
1364
1365 __isl_give isl_space *isl_space_range(__isl_take isl_space *dim)
1366 {
1367         if (!dim)
1368                 return NULL;
1369         dim = isl_space_drop_inputs(dim, 0, dim->n_in);
1370         dim = mark_as_set(dim);
1371         return dim;
1372 }
1373
1374 __isl_give isl_space *isl_space_from_range(__isl_take isl_space *dim)
1375 {
1376         if (!dim)
1377                 return NULL;
1378         if (!isl_space_is_set(dim))
1379                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1380                         "not a set space", goto error);
1381         return isl_space_reset(dim, isl_dim_in);
1382 error:
1383         isl_space_free(dim);
1384         return NULL;
1385 }
1386
1387 __isl_give isl_space *isl_space_params(__isl_take isl_space *space)
1388 {
1389         if (isl_space_is_params(space))
1390                 return space;
1391         space = isl_space_drop_dims(space,
1392                             isl_dim_in, 0, isl_space_dim(space, isl_dim_in));
1393         space = isl_space_drop_dims(space,
1394                             isl_dim_out, 0, isl_space_dim(space, isl_dim_out));
1395         space = mark_as_params(space);
1396         return space;
1397 }
1398
1399 __isl_give isl_space *isl_space_set_from_params(__isl_take isl_space *space)
1400 {
1401         if (!space)
1402                 return NULL;
1403         if (!isl_space_is_params(space))
1404                 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1405                         "not a parameter space", goto error);
1406         return isl_space_reset(space, isl_dim_set);
1407 error:
1408         isl_space_free(space);
1409         return NULL;
1410 }
1411
1412 __isl_give isl_space *isl_space_as_set_space(__isl_take isl_space *dim)
1413 {
1414         dim = isl_space_cow(dim);
1415         if (!dim)
1416                 return NULL;
1417
1418         dim->n_out += dim->n_in;
1419         dim->n_in = 0;
1420         dim = isl_space_reset(dim, isl_dim_in);
1421         dim = isl_space_reset(dim, isl_dim_out);
1422
1423         return dim;
1424 }
1425
1426 __isl_give isl_space *isl_space_underlying(__isl_take isl_space *dim,
1427         unsigned n_div)
1428 {
1429         int i;
1430
1431         if (!dim)
1432                 return NULL;
1433         if (n_div == 0 &&
1434             dim->nparam == 0 && dim->n_in == 0 && dim->n_id == 0)
1435                 return isl_space_reset(isl_space_reset(dim, isl_dim_in), isl_dim_out);
1436         dim = isl_space_cow(dim);
1437         if (!dim)
1438                 return NULL;
1439         dim->n_out += dim->nparam + dim->n_in + n_div;
1440         dim->nparam = 0;
1441         dim->n_in = 0;
1442
1443         for (i = 0; i < dim->n_id; ++i)
1444                 isl_id_free(get_id(dim, isl_dim_out, i));
1445         dim->n_id = 0;
1446         dim = isl_space_reset(dim, isl_dim_in);
1447         dim = isl_space_reset(dim, isl_dim_out);
1448
1449         return dim;
1450 }
1451
1452 int isl_space_is_equal(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1453 {
1454         if (!dim1 || !dim2)
1455                 return -1;
1456         if (dim1 == dim2)
1457                 return 1;
1458         return match(dim1, isl_dim_param, dim2, isl_dim_param) &&
1459                isl_space_tuple_match(dim1, isl_dim_in, dim2, isl_dim_in) &&
1460                isl_space_tuple_match(dim1, isl_dim_out, dim2, isl_dim_out);
1461 }
1462
1463 /* Is space1 equal to the domain of space2?
1464  */
1465 int isl_space_is_domain(__isl_keep isl_space *space1,
1466         __isl_keep isl_space *space2)
1467 {
1468         if (!space1 || !space2)
1469                 return -1;
1470         if (!isl_space_is_set(space1))
1471                 return 0;
1472         return match(space1, isl_dim_param, space2, isl_dim_param) &&
1473                isl_space_tuple_match(space1, isl_dim_set, space2, isl_dim_in);
1474 }
1475
1476 int isl_space_compatible(__isl_keep isl_space *dim1,
1477         __isl_keep isl_space *dim2)
1478 {
1479         return dim1->nparam == dim2->nparam &&
1480                dim1->n_in + dim1->n_out == dim2->n_in + dim2->n_out;
1481 }
1482
1483 static uint32_t isl_hash_dim(uint32_t hash, __isl_keep isl_space *dim)
1484 {
1485         int i;
1486         isl_id *id;
1487
1488         if (!dim)
1489                 return hash;
1490
1491         hash = isl_hash_builtin(hash, dim->nparam);
1492         hash = isl_hash_builtin(hash, dim->n_in);
1493         hash = isl_hash_builtin(hash, dim->n_out);
1494
1495         for (i = 0; i < dim->nparam; ++i) {
1496                 id = get_id(dim, isl_dim_param, i);
1497                 hash = isl_hash_id(hash, id);
1498         }
1499
1500         id = tuple_id(dim, isl_dim_in);
1501         hash = isl_hash_id(hash, id);
1502         id = tuple_id(dim, isl_dim_out);
1503         hash = isl_hash_id(hash, id);
1504
1505         hash = isl_hash_dim(hash, dim->nested[0]);
1506         hash = isl_hash_dim(hash, dim->nested[1]);
1507
1508         return hash;
1509 }
1510
1511 uint32_t isl_space_get_hash(__isl_keep isl_space *dim)
1512 {
1513         uint32_t hash;
1514
1515         if (!dim)
1516                 return 0;
1517
1518         hash = isl_hash_init();
1519         hash = isl_hash_dim(hash, dim);
1520
1521         return hash;
1522 }
1523
1524 int isl_space_is_wrapping(__isl_keep isl_space *dim)
1525 {
1526         if (!dim)
1527                 return -1;
1528
1529         if (!isl_space_is_set(dim))
1530                 return 0;
1531
1532         return dim->nested[1] != NULL;
1533 }
1534
1535 __isl_give isl_space *isl_space_wrap(__isl_take isl_space *dim)
1536 {
1537         isl_space *wrap;
1538
1539         if (!dim)
1540                 return NULL;
1541
1542         wrap = isl_space_set_alloc(dim->ctx,
1543                                     dim->nparam, dim->n_in + dim->n_out);
1544
1545         wrap = copy_ids(wrap, isl_dim_param, 0, dim, isl_dim_param);
1546         wrap = copy_ids(wrap, isl_dim_set, 0, dim, isl_dim_in);
1547         wrap = copy_ids(wrap, isl_dim_set, dim->n_in, dim, isl_dim_out);
1548
1549         if (!wrap)
1550                 goto error;
1551
1552         wrap->nested[1] = dim;
1553
1554         return wrap;
1555 error:
1556         isl_space_free(dim);
1557         return NULL;
1558 }
1559
1560 __isl_give isl_space *isl_space_unwrap(__isl_take isl_space *dim)
1561 {
1562         isl_space *unwrap;
1563
1564         if (!dim)
1565                 return NULL;
1566
1567         if (!isl_space_is_wrapping(dim))
1568                 isl_die(dim->ctx, isl_error_invalid, "not a wrapping space",
1569                         goto error);
1570
1571         unwrap = isl_space_copy(dim->nested[1]);
1572         isl_space_free(dim);
1573
1574         return unwrap;
1575 error:
1576         isl_space_free(dim);
1577         return NULL;
1578 }
1579
1580 int isl_space_is_named_or_nested(__isl_keep isl_space *dim, enum isl_dim_type type)
1581 {
1582         if (type != isl_dim_in && type != isl_dim_out)
1583                 return 0;
1584         if (!dim)
1585                 return -1;
1586         if (dim->tuple_id[type - isl_dim_in])
1587                 return 1;
1588         if (dim->nested[type - isl_dim_in])
1589                 return 1;
1590         return 0;
1591 }
1592
1593 int isl_space_may_be_set(__isl_keep isl_space *dim)
1594 {
1595         if (!dim)
1596                 return -1;
1597         if (isl_space_is_set(dim))
1598                 return 1;
1599         if (isl_space_dim(dim, isl_dim_in) != 0)
1600                 return 0;
1601         if (isl_space_is_named_or_nested(dim, isl_dim_in))
1602                 return 0;
1603         return 1;
1604 }
1605
1606 __isl_give isl_space *isl_space_reset(__isl_take isl_space *dim,
1607         enum isl_dim_type type)
1608 {
1609         if (!isl_space_is_named_or_nested(dim, type))
1610                 return dim;
1611
1612         dim = isl_space_cow(dim);
1613         if (!dim)
1614                 return NULL;
1615
1616         isl_id_free(dim->tuple_id[type - isl_dim_in]);
1617         dim->tuple_id[type - isl_dim_in] = NULL;
1618         isl_space_free(dim->nested[type - isl_dim_in]);
1619         dim->nested[type - isl_dim_in] = NULL;
1620
1621         return dim;
1622 }
1623
1624 __isl_give isl_space *isl_space_flatten(__isl_take isl_space *dim)
1625 {
1626         if (!dim)
1627                 return NULL;
1628         if (!dim->nested[0] && !dim->nested[1])
1629                 return dim;
1630
1631         if (dim->nested[0])
1632                 dim = isl_space_reset(dim, isl_dim_in);
1633         if (dim && dim->nested[1])
1634                 dim = isl_space_reset(dim, isl_dim_out);
1635
1636         return dim;
1637 }
1638
1639 __isl_give isl_space *isl_space_flatten_domain(__isl_take isl_space *dim)
1640 {
1641         if (!dim)
1642                 return NULL;
1643         if (!dim->nested[0])
1644                 return dim;
1645
1646         return isl_space_reset(dim, isl_dim_in);
1647 }
1648
1649 __isl_give isl_space *isl_space_flatten_range(__isl_take isl_space *dim)
1650 {
1651         if (!dim)
1652                 return NULL;
1653         if (!dim->nested[1])
1654                 return dim;
1655
1656         return isl_space_reset(dim, isl_dim_out);
1657 }
1658
1659 /* Replace the dimensions of the given type of dst by those of src.
1660  */
1661 __isl_give isl_space *isl_space_replace(__isl_take isl_space *dst,
1662         enum isl_dim_type type, __isl_keep isl_space *src)
1663 {
1664         dst = isl_space_cow(dst);
1665
1666         if (!dst || !src)
1667                 goto error;
1668
1669         dst = isl_space_drop_dims(dst, type, 0, isl_space_dim(dst, type));
1670         dst = isl_space_add_dims(dst, type, isl_space_dim(src, type));
1671         dst = copy_ids(dst, type, 0, src, type);
1672
1673         if (dst && type == isl_dim_param) {
1674                 int i;
1675                 for (i = 0; i <= 1; ++i) {
1676                         if (!dst->nested[i])
1677                                 continue;
1678                         dst->nested[i] = isl_space_replace(dst->nested[i],
1679                                                          type, src);
1680                         if (!dst->nested[i])
1681                                 goto error;
1682                 }
1683         }
1684
1685         return dst;
1686 error:
1687         isl_space_free(dst);
1688         return NULL;
1689 }
1690
1691 /* Given a dimension specification "dim" of a set, create a dimension
1692  * specification for the lift of the set.  In particular, the result
1693  * is of the form [dim -> local[..]], with n_local variables in the
1694  * range of the wrapped map.
1695  */
1696 __isl_give isl_space *isl_space_lift(__isl_take isl_space *dim, unsigned n_local)
1697 {
1698         isl_space *local_dim;
1699
1700         if (!dim)
1701                 return NULL;
1702
1703         local_dim = isl_space_dup(dim);
1704         local_dim = isl_space_drop_dims(local_dim, isl_dim_set, 0, dim->n_out);
1705         local_dim = isl_space_add_dims(local_dim, isl_dim_set, n_local);
1706         local_dim = isl_space_set_tuple_name(local_dim, isl_dim_set, "local");
1707         dim = isl_space_join(isl_space_from_domain(dim),
1708                             isl_space_from_range(local_dim));
1709         dim = isl_space_wrap(dim);
1710         dim = isl_space_set_tuple_name(dim, isl_dim_set, "lifted");
1711
1712         return dim;
1713 }
1714
1715 int isl_space_can_zip(__isl_keep isl_space *dim)
1716 {
1717         if (!dim)
1718                 return -1;
1719
1720         return dim->nested[0] && dim->nested[1];
1721 }
1722
1723 __isl_give isl_space *isl_space_zip(__isl_take isl_space *dim)
1724 {
1725         isl_space *dom, *ran;
1726         isl_space *dom_dom, *dom_ran, *ran_dom, *ran_ran;
1727
1728         if (!isl_space_can_zip(dim))
1729                 isl_die(dim->ctx, isl_error_invalid, "dim cannot be zipped",
1730                         goto error);
1731
1732         if (!dim)
1733                 return NULL;
1734         dom = isl_space_unwrap(isl_space_domain(isl_space_copy(dim)));
1735         ran = isl_space_unwrap(isl_space_range(dim));
1736         dom_dom = isl_space_domain(isl_space_copy(dom));
1737         dom_ran = isl_space_range(dom);
1738         ran_dom = isl_space_domain(isl_space_copy(ran));
1739         ran_ran = isl_space_range(ran);
1740         dom = isl_space_join(isl_space_from_domain(dom_dom),
1741                            isl_space_from_range(ran_dom));
1742         ran = isl_space_join(isl_space_from_domain(dom_ran),
1743                            isl_space_from_range(ran_ran));
1744         return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
1745                             isl_space_from_range(isl_space_wrap(ran)));
1746 error:
1747         isl_space_free(dim);
1748         return NULL;
1749 }
1750
1751 /* Can we apply isl_space_curry to "space"?
1752  * That is, does it have a nested relation in its domain?
1753  */
1754 int isl_space_can_curry(__isl_keep isl_space *space)
1755 {
1756         if (!space)
1757                 return -1;
1758
1759         return !!space->nested[0];
1760 }
1761
1762 /* Given a space (A -> B) -> C, return the corresponding space
1763  * A -> (B -> C).
1764  */
1765 __isl_give isl_space *isl_space_curry(__isl_take isl_space *space)
1766 {
1767         isl_space *dom, *ran;
1768         isl_space *dom_dom, *dom_ran;
1769
1770         if (!space)
1771                 return NULL;
1772
1773         if (!isl_space_can_curry(space))
1774                 isl_die(space->ctx, isl_error_invalid,
1775                         "space cannot be curried", goto error);
1776
1777         dom = isl_space_unwrap(isl_space_domain(isl_space_copy(space)));
1778         ran = isl_space_range(space);
1779         dom_dom = isl_space_domain(isl_space_copy(dom));
1780         dom_ran = isl_space_range(dom);
1781         ran = isl_space_join(isl_space_from_domain(dom_ran),
1782                            isl_space_from_range(ran));
1783         return isl_space_join(isl_space_from_domain(dom_dom),
1784                             isl_space_from_range(isl_space_wrap(ran)));
1785 error:
1786         isl_space_free(space);
1787         return NULL;
1788 }
1789
1790 int isl_space_has_named_params(__isl_keep isl_space *dim)
1791 {
1792         int i;
1793         unsigned off;
1794
1795         if (!dim)
1796                 return -1;
1797         if (dim->nparam == 0)
1798                 return 1;
1799         off = isl_space_offset(dim, isl_dim_param);
1800         if (off + dim->nparam > dim->n_id)
1801                 return 0;
1802         for (i = 0; i < dim->nparam; ++i)
1803                 if (!dim->ids[off + i])
1804                         return 0;
1805         return 1;
1806 }
1807
1808 /* Align the initial parameters of dim1 to match the order in dim2.
1809  */
1810 __isl_give isl_space *isl_space_align_params(__isl_take isl_space *dim1,
1811         __isl_take isl_space *dim2)
1812 {
1813         isl_reordering *exp;
1814
1815         if (!isl_space_has_named_params(dim1) || !isl_space_has_named_params(dim2))
1816                 isl_die(isl_space_get_ctx(dim1), isl_error_invalid,
1817                         "parameter alignment requires named parameters",
1818                         goto error);
1819
1820         dim2 = isl_space_params(dim2);
1821         exp = isl_parameter_alignment_reordering(dim1, dim2);
1822         exp = isl_reordering_extend_space(exp, dim1);
1823         isl_space_free(dim2);
1824         if (!exp)
1825                 return NULL;
1826         dim1 = isl_space_copy(exp->dim);
1827         isl_reordering_free(exp);
1828         return dim1;
1829 error:
1830         isl_space_free(dim1);
1831         isl_space_free(dim2);
1832         return NULL;
1833 }
1834
1835 /* Given the space of set (domain), construct a space for a map
1836  * with as domain the given space and as range the range of "model".
1837  */
1838 __isl_give isl_space *isl_space_extend_domain_with_range(
1839         __isl_take isl_space *domain, __isl_take isl_space *model)
1840 {
1841         isl_space *space;
1842
1843         space = isl_space_from_domain(domain);
1844         space = isl_space_add_dims(space, isl_dim_out,
1845                                     isl_space_dim(model, isl_dim_out));
1846         if (isl_space_has_tuple_id(model, isl_dim_out))
1847                 space = isl_space_set_tuple_id(space, isl_dim_out,
1848                                 isl_space_get_tuple_id(model, isl_dim_out));
1849         isl_space_free(model);
1850         return space;
1851 }