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 static int name_ok(isl_ctx *ctx, const char *s)
 351 {
 352         char *p;
 353         long dummy;
 354
 355         dummy = strtol(s, &p, 0);
 356         if (p != s)
 357                 isl_die(ctx, isl_error_invalid, "name looks like a number",
 358                         return 0);
 359
 360         return 1;
 361 }
 362
 363 int isl_space_has_tuple_id(__isl_keep isl_space *dim, enum isl_dim_type type)
 364 {
 365         if (!dim)
 366                 return -1;
 367         if (isl_space_is_params(dim))
 368                 isl_die(dim->ctx, isl_error_invalid,
 369                         "parameter spaces don't have tuple ids", return -1);
 370         if (isl_space_is_set(dim) && type != isl_dim_set)
 371                 isl_die(dim->ctx, isl_error_invalid,
 372                         "set spaces can only have a set id", return -1);
 373         if (type != isl_dim_in && type != isl_dim_out)
 374                 isl_die(dim->ctx, isl_error_invalid,
 375                         "only input, output and set tuples can have ids",
 376                         return -1);
 377         return dim->tuple_id[type - isl_dim_in] != NULL;
 378 }
 379
 380 __isl_give isl_id *isl_space_get_tuple_id(__isl_keep isl_space *dim,
 381         enum isl_dim_type type)
 382 {
 383         int has_id;
 384
 385         if (!dim)
 386                 return NULL;
 387         has_id = isl_space_has_tuple_id(dim, type);
 388         if (has_id < 0)
 389                 return NULL;
 390         if (!has_id)
 391                 isl_die(dim->ctx, isl_error_invalid,
 392                         "tuple has no id", return NULL);
 393         return isl_id_copy(dim->tuple_id[type - isl_dim_in]);
 394 }
 395
 396 __isl_give isl_space *isl_space_set_tuple_id(__isl_take isl_space *dim,
 397         enum isl_dim_type type, __isl_take isl_id *id)
 398 {
 399         dim = isl_space_cow(dim);
 400         if (!dim || !id)
 401                 goto error;
 402         if (type != isl_dim_in && type != isl_dim_out)
 403                 isl_die(dim->ctx, isl_error_invalid,
 404                         "only input, output and set tuples can have names",
 405                         goto error);
 406
 407         isl_id_free(dim->tuple_id[type - isl_dim_in]);
 408         dim->tuple_id[type - isl_dim_in] = id;
 409
 410         return dim;
 411 error:
 412         isl_id_free(id);
 413         isl_space_free(dim);
 414         return NULL;
 415 }
 416
 417 __isl_give isl_space *isl_space_reset_tuple_id(__isl_take isl_space *dim,
 418         enum isl_dim_type type)
 419 {
 420         dim = isl_space_cow(dim);
 421         if (!dim)
 422                 return NULL;
 423         if (type != isl_dim_in && type != isl_dim_out)
 424                 isl_die(dim->ctx, isl_error_invalid,
 425                         "only input, output and set tuples can have names",
 426                         goto error);
 427
 428         isl_id_free(dim->tuple_id[type - isl_dim_in]);
 429         dim->tuple_id[type - isl_dim_in] = NULL;
 430
 431         return dim;
 432 error:
 433         isl_space_free(dim);
 434         return NULL;
 435 }
 436
 437 /* Set the id of the given dimension of "space" to "id".
 438  * If the dimension already has an id, then it is replaced.
 439  * If the dimension is a parameter, then we need to change it
 440  * in the nested spaces (if any) as well.
 441  */
 442 __isl_give isl_space *isl_space_set_dim_id(__isl_take isl_space *space,
 443         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
 444 {
 445         space = isl_space_cow(space);
 446         if (!space || !id)
 447                 goto error;
 448
 449         if (type == isl_dim_param) {
 450                 int i;
 451
 452                 for (i = 0; i < 2; ++i) {
 453                         if (!space->nested[i])
 454                                 continue;
 455                         space->nested[i] =
 456                                 isl_space_set_dim_id(space->nested[i],
 457                                                 type, pos, isl_id_copy(id));
 458                         if (!space->nested[i])
 459                                 goto error;
 460                 }
 461         }
 462
 463         isl_id_free(get_id(space, type, pos));
 464         return set_id(space, type, pos, id);
 465 error:
 466         isl_id_free(id);
 467         isl_space_free(space);
 468         return NULL;
 469 }
 470
 471 int isl_space_has_dim_id(__isl_keep isl_space *dim,
 472         enum isl_dim_type type, unsigned pos)
 473 {
 474         if (!dim)
 475                 return -1;
 476         return get_id(dim, type, pos) != NULL;
 477 }
 478
 479 __isl_give isl_id *isl_space_get_dim_id(__isl_keep isl_space *dim,
 480         enum isl_dim_type type, unsigned pos)
 481 {
 482         if (!dim)
 483                 return NULL;
 484         if (!get_id(dim, type, pos))
 485                 isl_die(dim->ctx, isl_error_invalid,
 486                         "dim has no id", return NULL);
 487         return isl_id_copy(get_id(dim, type, pos));
 488 }
 489
 490 __isl_give isl_space *isl_space_set_tuple_name(__isl_take isl_space *dim,
 491         enum isl_dim_type type, const char *s)
 492 {
 493         isl_id *id;
 494
 495         if (!dim)
 496                 return NULL;
 497
 498         if (!s)
 499                 return isl_space_reset_tuple_id(dim, type);
 500
 501         if (!name_ok(dim->ctx, s))
 502                 goto error;
 503
 504         id = isl_id_alloc(dim->ctx, s, NULL);
 505         return isl_space_set_tuple_id(dim, type, id);
 506 error:
 507         isl_space_free(dim);
 508         return NULL;
 509 }
 510
 511 const char *isl_space_get_tuple_name(__isl_keep isl_space *dim,
 512          enum isl_dim_type type)
 513 {
 514         isl_id *id;
 515         if (!dim)
 516                 return NULL;
 517         if (type != isl_dim_in && type != isl_dim_out)
 518                 return NULL;
 519         id = dim->tuple_id[type - isl_dim_in];
 520         return id ? id->name : NULL;
 521 }
 522
 523 __isl_give isl_space *isl_space_set_dim_name(__isl_take isl_space *dim,
 524                                  enum isl_dim_type type, unsigned pos,
 525                                  const char *s)
 526 {
 527         isl_id *id;
 528
 529         if (!dim)
 530                 return NULL;
 531         if (!name_ok(dim->ctx, s))
 532                 goto error;
 533         id = isl_id_alloc(dim->ctx, s, NULL);
 534         return isl_space_set_dim_id(dim, type, pos, id);
 535 error:
 536         isl_space_free(dim);
 537         return NULL;
 538 }
 539
 540 __isl_keep const char *isl_space_get_dim_name(__isl_keep isl_space *dim,
 541                                  enum isl_dim_type type, unsigned pos)
 542 {
 543         isl_id *id = get_id(dim, type, pos);
 544         return id ? id->name : NULL;
 545 }
 546
 547 int isl_space_find_dim_by_id(__isl_keep isl_space *dim, enum isl_dim_type type,
 548         __isl_keep isl_id *id)
 549 {
 550         int i;
 551         int offset;
 552         int n;
 553
 554         if (!dim || !id)
 555                 return -1;
 556
 557         offset = isl_space_offset(dim, type);
 558         n = isl_space_dim(dim, type);
 559         for (i = 0; i < n && offset + i < dim->n_id; ++i)
 560                 if (dim->ids[offset + i] == id)
 561                         return i;
 562
 563         return -1;
 564 }
 565
 566 int isl_space_find_dim_by_name(__isl_keep isl_space *space,
 567         enum isl_dim_type type, const char *name)
 568 {
 569         int i;
 570         int offset;
 571         int n;
 572
 573         if (!space || !name)
 574                 return -1;
 575
 576         offset = isl_space_offset(space, type);
 577         n = isl_space_dim(space, type);
 578         for (i = 0; i < n && offset + i < space->n_id; ++i)
 579                 if (space->ids[offset + i]->name &&
 580                     !strcmp(space->ids[offset + i]->name, name))
 581                         return i;
 582
 583         return -1;
 584 }
 585
 586 static __isl_keep isl_id *tuple_id(__isl_keep isl_space *dim,
 587         enum isl_dim_type type)
 588 {
 589         if (!dim)
 590                 return NULL;
 591         if (type == isl_dim_in)
 592                 return dim->tuple_id[0];
 593         if (type == isl_dim_out)
 594                 return dim->tuple_id[1];
 595         return NULL;
 596 }
 597
 598 static __isl_keep isl_space *nested(__isl_keep isl_space *dim,
 599         enum isl_dim_type type)
 600 {
 601         if (!dim)
 602                 return NULL;
 603         if (type == isl_dim_in)
 604                 return dim->nested[0];
 605         if (type == isl_dim_out)
 606                 return dim->nested[1];
 607         return NULL;
 608 }
 609
 610 int isl_space_tuple_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 611                         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 612 {
 613         isl_id *id1, *id2;
 614         isl_space *nested1, *nested2;
 615
 616         if (!dim1 || !dim2)
 617                 return -1;
 618
 619         if (dim1 == dim2 && dim1_type == dim2_type)
 620                 return 1;
 621
 622         if (n(dim1, dim1_type) != n(dim2, dim2_type))
 623                 return 0;
 624         id1 = tuple_id(dim1, dim1_type);
 625         id2 = tuple_id(dim2, dim2_type);
 626         if (!id1 ^ !id2)
 627                 return 0;
 628         if (id1 && id1 != id2)
 629                 return 0;
 630         nested1 = nested(dim1, dim1_type);
 631         nested2 = nested(dim2, dim2_type);
 632         if (!nested1 ^ !nested2)
 633                 return 0;
 634         if (nested1 && !isl_space_is_equal(nested1, nested2))
 635                 return 0;
 636         return 1;
 637 }
 638
 639 static int match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 640         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 641 {
 642         int i;
 643
 644         if (dim1 == dim2 && dim1_type == dim2_type)
 645                 return 1;
 646
 647         if (!isl_space_tuple_match(dim1, dim1_type, dim2, dim2_type))
 648                 return 0;
 649
 650         if (!dim1->ids && !dim2->ids)
 651                 return 1;
 652
 653         for (i = 0; i < n(dim1, dim1_type); ++i) {
 654                 if (get_id(dim1, dim1_type, i) != get_id(dim2, dim2_type, i))
 655                         return 0;
 656         }
 657         return 1;
 658 }
 659
 660 int isl_space_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 661         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 662 {
 663         if (!dim1 || !dim2)
 664                 return -1;
 665
 666         return match(dim1, dim1_type, dim2, dim2_type);
 667 }
 668
 669 static void get_ids(__isl_keep isl_space *dim, enum isl_dim_type type,
 670         unsigned first, unsigned n, __isl_keep isl_id **ids)
 671 {
 672         int i;
 673
 674         for (i = 0; i < n ; ++i)
 675                 ids[i] = get_id(dim, type, first + i);
 676 }
 677
 678 __isl_give isl_space *isl_space_extend(__isl_take isl_space *dim,
 679                         unsigned nparam, unsigned n_in, unsigned n_out)
 680 {
 681         isl_id **ids = NULL;
 682
 683         if (!dim)
 684                 return NULL;
 685         if (dim->nparam == nparam && dim->n_in == n_in && dim->n_out == n_out)
 686                 return dim;
 687
 688         isl_assert(dim->ctx, dim->nparam <= nparam, goto error);
 689         isl_assert(dim->ctx, dim->n_in <= n_in, goto error);
 690         isl_assert(dim->ctx, dim->n_out <= n_out, goto error);
 691
 692         dim = isl_space_cow(dim);
 693
 694         if (dim->ids) {
 695                 ids = isl_calloc_array(dim->ctx, isl_id *,
 696                                          nparam + n_in + n_out);
 697                 if (!ids)
 698                         goto error;
 699                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
 700                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids + nparam);
 701                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + nparam + n_in);
 702                 free(dim->ids);
 703                 dim->ids = ids;
 704                 dim->n_id = nparam + n_in + n_out;
 705         }
 706         dim->nparam = nparam;
 707         dim->n_in = n_in;
 708         dim->n_out = n_out;
 709
 710         return dim;
 711 error:
 712         free(ids);
 713         isl_space_free(dim);
 714         return NULL;
 715 }
 716
 717 __isl_give isl_space *isl_space_add_dims(__isl_take isl_space *dim,
 718         enum isl_dim_type type, unsigned n)
 719 {
 720         if (!dim)
 721                 return NULL;
 722         dim = isl_space_reset(dim, type);
 723         switch (type) {
 724         case isl_dim_param:
 725                 dim = isl_space_extend(dim,
 726                                         dim->nparam + n, dim->n_in, dim->n_out);
 727                 if (dim && dim->nested[0] &&
 728                     !(dim->nested[0] = isl_space_add_dims(dim->nested[0],
 729                                                     isl_dim_param, n)))
 730                         goto error;
 731                 if (dim && dim->nested[1] &&
 732                     !(dim->nested[1] = isl_space_add_dims(dim->nested[1],
 733                                                     isl_dim_param, n)))
 734                         goto error;
 735                 return dim;
 736         case isl_dim_in:
 737                 return isl_space_extend(dim,
 738                                         dim->nparam, dim->n_in + n, dim->n_out);
 739         case isl_dim_out:
 740                 return isl_space_extend(dim,
 741                                         dim->nparam, dim->n_in, dim->n_out + n);
 742         default:
 743                 isl_die(dim->ctx, isl_error_invalid,
 744                         "cannot add dimensions of specified type", goto error);
 745         }
 746 error:
 747         isl_space_free(dim);
 748         return NULL;
 749 }
 750
 751 static int valid_dim_type(enum isl_dim_type type)
 752 {
 753         switch (type) {
 754         case isl_dim_param:
 755         case isl_dim_in:
 756         case isl_dim_out:
 757                 return 1;
 758         default:
 759                 return 0;
 760         }
 761 }
 762
 763 __isl_give isl_space *isl_space_insert_dims(__isl_take isl_space *dim,
 764         enum isl_dim_type type, unsigned pos, unsigned n)
 765 {
 766         isl_id **ids = NULL;
 767
 768         if (!dim)
 769                 return NULL;
 770         if (n == 0)
 771                 return isl_space_reset(dim, type);
 772
 773         if (!valid_dim_type(type))
 774                 isl_die(dim->ctx, isl_error_invalid,
 775                         "cannot insert dimensions of specified type",
 776                         goto error);
 777
 778         isl_assert(dim->ctx, pos <= isl_space_dim(dim, type), goto error);
 779
 780         dim = isl_space_cow(dim);
 781         if (!dim)
 782                 return NULL;
 783
 784         if (dim->ids) {
 785                 enum isl_dim_type t;
 786                 int off;
 787                 int s[3];
 788                 int *size = s - isl_dim_param;
 789                 ids = isl_calloc_array(dim->ctx, isl_id *,
 790                                      dim->nparam + dim->n_in + dim->n_out + n);
 791                 if (!ids)
 792                         goto error;
 793                 off = 0;
 794                 size[isl_dim_param] = dim->nparam;
 795                 size[isl_dim_in] = dim->n_in;
 796                 size[isl_dim_out] = dim->n_out;
 797                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 798                         if (t != type) {
 799                                 get_ids(dim, t, 0, size[t], ids + off);
 800                                 off += size[t];
 801                         } else {
 802                                 get_ids(dim, t, 0, pos, ids + off);
 803                                 off += pos + n;
 804                                 get_ids(dim, t, pos, size[t] - pos, ids + off);
 805                                 off += size[t] - pos;
 806                         }
 807                 }
 808                 free(dim->ids);
 809                 dim->ids = ids;
 810                 dim->n_id = dim->nparam + dim->n_in + dim->n_out + n;
 811         }
 812         switch (type) {
 813         case isl_dim_param:     dim->nparam += n; break;
 814         case isl_dim_in:        dim->n_in += n; break;
 815         case isl_dim_out:       dim->n_out += n; break;
 816         default:                ;
 817         }
 818         dim = isl_space_reset(dim, type);
 819
 820         return dim;
 821 error:
 822         isl_space_free(dim);
 823         return NULL;
 824 }
 825
 826 __isl_give isl_space *isl_space_move_dims(__isl_take isl_space *dim,
 827         enum isl_dim_type dst_type, unsigned dst_pos,
 828         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
 829 {
 830         int i;
 831
 832         if (!dim)
 833                 return NULL;
 834         if (n == 0)
 835                 return dim;
 836
 837         isl_assert(dim->ctx, src_pos + n <= isl_space_dim(dim, src_type),
 838                 goto error);
 839
 840         if (dst_type == src_type && dst_pos == src_pos)
 841                 return dim;
 842
 843         isl_assert(dim->ctx, dst_type != src_type, goto error);
 844
 845         dim = isl_space_reset(dim, src_type);
 846         dim = isl_space_reset(dim, dst_type);
 847
 848         dim = isl_space_cow(dim);
 849         if (!dim)
 850                 return NULL;
 851
 852         if (dim->ids) {
 853                 isl_id **ids;
 854                 enum isl_dim_type t;
 855                 int off;
 856                 int s[3];
 857                 int *size = s - isl_dim_param;
 858                 ids = isl_calloc_array(dim->ctx, isl_id *,
 859                                          dim->nparam + dim->n_in + dim->n_out);
 860                 if (!ids)
 861                         goto error;
 862                 off = 0;
 863                 size[isl_dim_param] = dim->nparam;
 864                 size[isl_dim_in] = dim->n_in;
 865                 size[isl_dim_out] = dim->n_out;
 866                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 867                         if (t == dst_type) {
 868                                 get_ids(dim, t, 0, dst_pos, ids + off);
 869                                 off += dst_pos;
 870                                 get_ids(dim, src_type, src_pos, n, ids + off);
 871                                 off += n;
 872                                 get_ids(dim, t, dst_pos, size[t] - dst_pos,
 873                                                 ids + off);
 874                                 off += size[t] - dst_pos;
 875                         } else if (t == src_type) {
 876                                 get_ids(dim, t, 0, src_pos, ids + off);
 877                                 off += src_pos;
 878                                 get_ids(dim, t, src_pos + n,
 879                                             size[t] - src_pos - n, ids + off);
 880                                 off += size[t] - src_pos - n;
 881                         } else {
 882                                 get_ids(dim, t, 0, size[t], ids + off);
 883                                 off += size[t];
 884                         }
 885                 }
 886                 free(dim->ids);
 887                 dim->ids = ids;
 888                 dim->n_id = dim->nparam + dim->n_in + dim->n_out;
 889         }
 890
 891         switch (dst_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
 898         switch (src_type) {
 899         case isl_dim_param:     dim->nparam -= n; break;
 900         case isl_dim_in:        dim->n_in -= n; break;
 901         case isl_dim_out:       dim->n_out -= n; break;
 902         default:                ;
 903         }
 904
 905         if (dst_type != isl_dim_param && src_type != isl_dim_param)
 906                 return dim;
 907
 908         for (i = 0; i < 2; ++i) {
 909                 if (!dim->nested[i])
 910                         continue;
 911                 dim->nested[i] = isl_space_replace(dim->nested[i],
 912                                                  isl_dim_param, dim);
 913                 if (!dim->nested[i])
 914                         goto error;
 915         }
 916
 917         return dim;
 918 error:
 919         isl_space_free(dim);
 920         return NULL;
 921 }
 922
 923 __isl_give isl_space *isl_space_join(__isl_take isl_space *left,
 924         __isl_take isl_space *right)
 925 {
 926         isl_space *dim;
 927
 928         if (!left || !right)
 929                 goto error;
 930
 931         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
 932                         goto error);
 933         isl_assert(left->ctx,
 934                 isl_space_tuple_match(left, isl_dim_out, right, isl_dim_in),
 935                 goto error);
 936
 937         dim = isl_space_alloc(left->ctx, left->nparam, left->n_in, right->n_out);
 938         if (!dim)
 939                 goto error;
 940
 941         dim = copy_ids(dim, isl_dim_param, 0, left, isl_dim_param);
 942         dim = copy_ids(dim, isl_dim_in, 0, left, isl_dim_in);
 943         dim = copy_ids(dim, isl_dim_out, 0, right, isl_dim_out);
 944
 945         if (dim && left->tuple_id[0] &&
 946             !(dim->tuple_id[0] = isl_id_copy(left->tuple_id[0])))
 947                 goto error;
 948         if (dim && right->tuple_id[1] &&
 949             !(dim->tuple_id[1] = isl_id_copy(right->tuple_id[1])))
 950                 goto error;
 951         if (dim && left->nested[0] &&
 952             !(dim->nested[0] = isl_space_copy(left->nested[0])))
 953                 goto error;
 954         if (dim && right->nested[1] &&
 955             !(dim->nested[1] = isl_space_copy(right->nested[1])))
 956                 goto error;
 957
 958         isl_space_free(left);
 959         isl_space_free(right);
 960
 961         return dim;
 962 error:
 963         isl_space_free(left);
 964         isl_space_free(right);
 965         return NULL;
 966 }
 967
 968 __isl_give isl_space *isl_space_product(__isl_take isl_space *left,
 969         __isl_take isl_space *right)
 970 {
 971         isl_space *dom1, *dom2, *nest1, *nest2;
 972
 973         if (!left || !right)
 974                 goto error;
 975
 976         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
 977                         goto error);
 978
 979         dom1 = isl_space_domain(isl_space_copy(left));
 980         dom2 = isl_space_domain(isl_space_copy(right));
 981         nest1 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
 982
 983         dom1 = isl_space_range(left);
 984         dom2 = isl_space_range(right);
 985         nest2 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
 986
 987         return isl_space_join(isl_space_reverse(nest1), nest2);
 988 error:
 989         isl_space_free(left);
 990         isl_space_free(right);
 991         return NULL;
 992 }
 993
 994 /* Given two spaces { A -> C } and { B -> C }, construct the space
 995  * { [A -> B] -> C }
 996  */
 997 __isl_give isl_space *isl_space_domain_product(__isl_take isl_space *left,
 998         __isl_take isl_space *right)
 999 {
1000         isl_space *ran, *dom1, *dom2, *nest;
1001
1002         if (!left || !right)
1003                 goto error;
1004
1005         if (!match(left, isl_dim_param, right, isl_dim_param))
1006                 isl_die(left->ctx, isl_error_invalid,
1007                         "parameters need to match", goto error);
1008         if (!isl_space_tuple_match(left, isl_dim_out, right, isl_dim_out))
1009                 isl_die(left->ctx, isl_error_invalid,
1010                         "ranges need to match", goto error);
1011
1012         ran = isl_space_range(isl_space_copy(left));
1013
1014         dom1 = isl_space_domain(left);
1015         dom2 = isl_space_domain(right);
1016         nest = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1017
1018         return isl_space_join(isl_space_reverse(nest), ran);
1019 error:
1020         isl_space_free(left);
1021         isl_space_free(right);
1022         return NULL;
1023 }
1024
1025 __isl_give isl_space *isl_space_range_product(__isl_take isl_space *left,
1026         __isl_take isl_space *right)
1027 {
1028         isl_space *dom, *ran1, *ran2, *nest;
1029
1030         if (!left || !right)
1031                 goto error;
1032
1033         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1034                         goto error);
1035         if (!isl_space_tuple_match(left, isl_dim_in, right, isl_dim_in))
1036                 isl_die(left->ctx, isl_error_invalid,
1037                         "domains need to match", goto error);
1038
1039         dom = isl_space_domain(isl_space_copy(left));
1040
1041         ran1 = isl_space_range(left);
1042         ran2 = isl_space_range(right);
1043         nest = isl_space_wrap(isl_space_join(isl_space_reverse(ran1), ran2));
1044
1045         return isl_space_join(isl_space_reverse(dom), nest);
1046 error:
1047         isl_space_free(left);
1048         isl_space_free(right);
1049         return NULL;
1050 }
1051
1052 __isl_give isl_space *isl_space_map_from_set(__isl_take isl_space *dim)
1053 {
1054         isl_ctx *ctx;
1055         isl_id **ids = NULL;
1056
1057         if (!dim)
1058                 return NULL;
1059         ctx = isl_space_get_ctx(dim);
1060         if (!isl_space_is_set(dim))
1061                 isl_die(ctx, isl_error_invalid, "not a set space", goto error);
1062         dim = isl_space_cow(dim);
1063         if (!dim)
1064                 return NULL;
1065         if (dim->ids) {
1066                 ids = isl_calloc_array(dim->ctx, isl_id *,
1067                                         dim->nparam + dim->n_out + dim->n_out);
1068                 if (!ids)
1069                         goto error;
1070                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
1071                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->nparam);
1072         }
1073         dim->n_in = dim->n_out;
1074         if (ids) {
1075                 free(dim->ids);
1076                 dim->ids = ids;
1077                 dim->n_id = dim->nparam + dim->n_out + dim->n_out;
1078                 dim = copy_ids(dim, isl_dim_out, 0, dim, isl_dim_in);
1079         }
1080         isl_id_free(dim->tuple_id[0]);
1081         dim->tuple_id[0] = isl_id_copy(dim->tuple_id[1]);
1082         isl_space_free(dim->nested[0]);
1083         dim->nested[0] = isl_space_copy(dim->nested[1]);
1084         return dim;
1085 error:
1086         isl_space_free(dim);
1087         return NULL;
1088 }
1089
1090 __isl_give isl_space *isl_space_map_from_domain_and_range(
1091         __isl_take isl_space *domain, __isl_take isl_space *range)
1092 {
1093         if (!domain || !range)
1094                 goto error;
1095         if (!isl_space_is_set(domain))
1096                 isl_die(isl_space_get_ctx(domain), isl_error_invalid,
1097                         "domain is not a set space", goto error);
1098         if (!isl_space_is_set(range))
1099                 isl_die(isl_space_get_ctx(range), isl_error_invalid,
1100                         "range is not a set space", goto error);
1101         return isl_space_join(isl_space_reverse(domain), range);
1102 error:
1103         isl_space_free(domain);
1104         isl_space_free(range);
1105         return NULL;
1106 }
1107
1108 static __isl_give isl_space *set_ids(__isl_take isl_space *dim,
1109         enum isl_dim_type type,
1110         unsigned first, unsigned n, __isl_take isl_id **ids)
1111 {
1112         int i;
1113
1114         for (i = 0; i < n ; ++i)
1115                 dim = set_id(dim, type, first + i, ids[i]);
1116
1117         return dim;
1118 }
1119
1120 __isl_give isl_space *isl_space_reverse(__isl_take isl_space *dim)
1121 {
1122         unsigned t;
1123         isl_space *nested;
1124         isl_id **ids = NULL;
1125         isl_id *id;
1126
1127         if (!dim)
1128                 return NULL;
1129         if (match(dim, isl_dim_in, dim, isl_dim_out))
1130                 return dim;
1131
1132         dim = isl_space_cow(dim);
1133         if (!dim)
1134                 return NULL;
1135
1136         id = dim->tuple_id[0];
1137         dim->tuple_id[0] = dim->tuple_id[1];
1138         dim->tuple_id[1] = id;
1139
1140         nested = dim->nested[0];
1141         dim->nested[0] = dim->nested[1];
1142         dim->nested[1] = nested;
1143
1144         if (dim->ids) {
1145                 ids = isl_alloc_array(dim->ctx, isl_id *,
1146                                         dim->n_in + dim->n_out);
1147                 if (!ids)
1148                         goto error;
1149                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids);
1150                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->n_in);
1151         }
1152
1153         t = dim->n_in;
1154         dim->n_in = dim->n_out;
1155         dim->n_out = t;
1156
1157         if (dim->ids) {
1158                 dim = set_ids(dim, isl_dim_out, 0, dim->n_out, ids);
1159                 dim = set_ids(dim, isl_dim_in, 0, dim->n_in, ids + dim->n_out);
1160                 free(ids);
1161         }
1162
1163         return dim;
1164 error:
1165         free(ids);
1166         isl_space_free(dim);
1167         return NULL;
1168 }
1169
1170 __isl_give isl_space *isl_space_drop_dims(__isl_take isl_space *dim,
1171         enum isl_dim_type type, unsigned first, unsigned num)
1172 {
1173         int i;
1174
1175         if (!dim)
1176                 return NULL;
1177
1178         if (num == 0)
1179                 return isl_space_reset(dim, type);
1180
1181         if (!valid_dim_type(type))
1182                 isl_die(dim->ctx, isl_error_invalid,
1183                         "cannot drop dimensions of specified type", goto error);
1184
1185         isl_assert(dim->ctx, first + num <= n(dim, type), goto error);
1186         dim = isl_space_cow(dim);
1187         if (!dim)
1188                 goto error;
1189         if (dim->ids) {
1190                 dim = extend_ids(dim);
1191                 if (!dim)
1192                         goto error;
1193                 for (i = 0; i < num; ++i)
1194                         isl_id_free(get_id(dim, type, first + i));
1195                 for (i = first+num; i < n(dim, type); ++i)
1196                         set_id(dim, type, i - num, get_id(dim, type, i));
1197                 switch (type) {
1198                 case isl_dim_param:
1199                         get_ids(dim, isl_dim_in, 0, dim->n_in,
1200                                 dim->ids + offset(dim, isl_dim_in) - num);
1201                 case isl_dim_in:
1202                         get_ids(dim, isl_dim_out, 0, dim->n_out,
1203                                 dim->ids + offset(dim, isl_dim_out) - num);
1204                 default:
1205                         ;
1206                 }
1207                 dim->n_id -= num;
1208         }
1209         switch (type) {
1210         case isl_dim_param:     dim->nparam -= num; break;
1211         case isl_dim_in:        dim->n_in -= num; break;
1212         case isl_dim_out:       dim->n_out -= num; break;
1213         default:                ;
1214         }
1215         dim = isl_space_reset(dim, type);
1216         if (type == isl_dim_param) {
1217                 if (dim && dim->nested[0] &&
1218                     !(dim->nested[0] = isl_space_drop_dims(dim->nested[0],
1219                                                     isl_dim_param, first, num)))
1220                         goto error;
1221                 if (dim && dim->nested[1] &&
1222                     !(dim->nested[1] = isl_space_drop_dims(dim->nested[1],
1223                                                     isl_dim_param, first, num)))
1224                         goto error;
1225         }
1226         return dim;
1227 error:
1228         isl_space_free(dim);
1229         return NULL;
1230 }
1231
1232 __isl_give isl_space *isl_space_drop_inputs(__isl_take isl_space *dim,
1233                 unsigned first, unsigned n)
1234 {
1235         if (!dim)
1236                 return NULL;
1237         return isl_space_drop_dims(dim, isl_dim_in, first, n);
1238 }
1239
1240 __isl_give isl_space *isl_space_drop_outputs(__isl_take isl_space *dim,
1241                 unsigned first, unsigned n)
1242 {
1243         if (!dim)
1244                 return NULL;
1245         return isl_space_drop_dims(dim, isl_dim_out, first, n);
1246 }
1247
1248 __isl_give isl_space *isl_space_domain(__isl_take isl_space *dim)
1249 {
1250         if (!dim)
1251                 return NULL;
1252         dim = isl_space_drop_outputs(dim, 0, dim->n_out);
1253         dim = isl_space_reverse(dim);
1254         dim = mark_as_set(dim);
1255         return dim;
1256 }
1257
1258 __isl_give isl_space *isl_space_from_domain(__isl_take isl_space *dim)
1259 {
1260         if (!dim)
1261                 return NULL;
1262         if (!isl_space_is_set(dim))
1263                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1264                         "not a set space", goto error);
1265         dim = isl_space_reverse(dim);
1266         dim = isl_space_reset(dim, isl_dim_out);
1267         return dim;
1268 error:
1269         isl_space_free(dim);
1270         return NULL;
1271 }
1272
1273 __isl_give isl_space *isl_space_range(__isl_take isl_space *dim)
1274 {
1275         if (!dim)
1276                 return NULL;
1277         dim = isl_space_drop_inputs(dim, 0, dim->n_in);
1278         dim = mark_as_set(dim);
1279         return dim;
1280 }
1281
1282 __isl_give isl_space *isl_space_from_range(__isl_take isl_space *dim)
1283 {
1284         if (!dim)
1285                 return NULL;
1286         if (!isl_space_is_set(dim))
1287                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1288                         "not a set space", goto error);
1289         return isl_space_reset(dim, isl_dim_in);
1290 error:
1291         isl_space_free(dim);
1292         return NULL;
1293 }
1294
1295 __isl_give isl_space *isl_space_params(__isl_take isl_space *space)
1296 {
1297         if (isl_space_is_params(space))
1298                 return space;
1299         space = isl_space_drop_dims(space,
1300                             isl_dim_in, 0, isl_space_dim(space, isl_dim_in));
1301         space = isl_space_drop_dims(space,
1302                             isl_dim_out, 0, isl_space_dim(space, isl_dim_out));
1303         space = mark_as_params(space);
1304         return space;
1305 }
1306
1307 __isl_give isl_space *isl_space_set_from_params(__isl_take isl_space *space)
1308 {
1309         if (!space)
1310                 return NULL;
1311         if (!isl_space_is_params(space))
1312                 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1313                         "not a parameter space", goto error);
1314         return isl_space_reset(space, isl_dim_set);
1315 error:
1316         isl_space_free(space);
1317         return NULL;
1318 }
1319
1320 __isl_give isl_space *isl_space_as_set_space(__isl_take isl_space *dim)
1321 {
1322         dim = isl_space_cow(dim);
1323         if (!dim)
1324                 return NULL;
1325
1326         dim->n_out += dim->n_in;
1327         dim->n_in = 0;
1328         dim = isl_space_reset(dim, isl_dim_in);
1329         dim = isl_space_reset(dim, isl_dim_out);
1330
1331         return dim;
1332 }
1333
1334 __isl_give isl_space *isl_space_underlying(__isl_take isl_space *dim,
1335         unsigned n_div)
1336 {
1337         int i;
1338
1339         if (!dim)
1340                 return NULL;
1341         if (n_div == 0 &&
1342             dim->nparam == 0 && dim->n_in == 0 && dim->n_id == 0)
1343                 return isl_space_reset(isl_space_reset(dim, isl_dim_in), isl_dim_out);
1344         dim = isl_space_cow(dim);
1345         if (!dim)
1346                 return NULL;
1347         dim->n_out += dim->nparam + dim->n_in + n_div;
1348         dim->nparam = 0;
1349         dim->n_in = 0;
1350
1351         for (i = 0; i < dim->n_id; ++i)
1352                 isl_id_free(get_id(dim, isl_dim_out, i));
1353         dim->n_id = 0;
1354         dim = isl_space_reset(dim, isl_dim_in);
1355         dim = isl_space_reset(dim, isl_dim_out);
1356
1357         return dim;
1358 }
1359
1360 int isl_space_is_equal(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1361 {
1362         if (!dim1 || !dim2)
1363                 return -1;
1364         if (dim1 == dim2)
1365                 return 1;
1366         return match(dim1, isl_dim_param, dim2, isl_dim_param) &&
1367                isl_space_tuple_match(dim1, isl_dim_in, dim2, isl_dim_in) &&
1368                isl_space_tuple_match(dim1, isl_dim_out, dim2, isl_dim_out);
1369 }
1370
1371 /* Is space1 equal to the domain of space2?
1372  */
1373 int isl_space_is_domain(__isl_keep isl_space *space1,
1374         __isl_keep isl_space *space2)
1375 {
1376         if (!space1 || !space2)
1377                 return -1;
1378         if (!isl_space_is_set(space1))
1379                 return 0;
1380         return match(space1, isl_dim_param, space2, isl_dim_param) &&
1381                isl_space_tuple_match(space1, isl_dim_set, space2, isl_dim_in);
1382 }
1383
1384 int isl_space_compatible(__isl_keep isl_space *dim1,
1385         __isl_keep isl_space *dim2)
1386 {
1387         return dim1->nparam == dim2->nparam &&
1388                dim1->n_in + dim1->n_out == dim2->n_in + dim2->n_out;
1389 }
1390
1391 static uint32_t isl_hash_dim(uint32_t hash, __isl_keep isl_space *dim)
1392 {
1393         int i;
1394         isl_id *id;
1395
1396         if (!dim)
1397                 return hash;
1398
1399         hash = isl_hash_builtin(hash, dim->nparam);
1400         hash = isl_hash_builtin(hash, dim->n_in);
1401         hash = isl_hash_builtin(hash, dim->n_out);
1402
1403         for (i = 0; i < dim->nparam; ++i) {
1404                 id = get_id(dim, isl_dim_param, i);
1405                 hash = isl_hash_id(hash, id);
1406         }
1407
1408         id = tuple_id(dim, isl_dim_in);
1409         hash = isl_hash_id(hash, id);
1410         id = tuple_id(dim, isl_dim_out);
1411         hash = isl_hash_id(hash, id);
1412
1413         hash = isl_hash_dim(hash, dim->nested[0]);
1414         hash = isl_hash_dim(hash, dim->nested[1]);
1415
1416         return hash;
1417 }
1418
1419 uint32_t isl_space_get_hash(__isl_keep isl_space *dim)
1420 {
1421         uint32_t hash;
1422
1423         if (!dim)
1424                 return 0;
1425
1426         hash = isl_hash_init();
1427         hash = isl_hash_dim(hash, dim);
1428
1429         return hash;
1430 }
1431
1432 int isl_space_is_wrapping(__isl_keep isl_space *dim)
1433 {
1434         if (!dim)
1435                 return -1;
1436
1437         if (!isl_space_is_set(dim))
1438                 return 0;
1439
1440         return dim->nested[1] != NULL;
1441 }
1442
1443 __isl_give isl_space *isl_space_wrap(__isl_take isl_space *dim)
1444 {
1445         isl_space *wrap;
1446
1447         if (!dim)
1448                 return NULL;
1449
1450         wrap = isl_space_set_alloc(dim->ctx,
1451                                     dim->nparam, dim->n_in + dim->n_out);
1452
1453         wrap = copy_ids(wrap, isl_dim_param, 0, dim, isl_dim_param);
1454         wrap = copy_ids(wrap, isl_dim_set, 0, dim, isl_dim_in);
1455         wrap = copy_ids(wrap, isl_dim_set, dim->n_in, dim, isl_dim_out);
1456
1457         if (!wrap)
1458                 goto error;
1459
1460         wrap->nested[1] = dim;
1461
1462         return wrap;
1463 error:
1464         isl_space_free(dim);
1465         return NULL;
1466 }
1467
1468 __isl_give isl_space *isl_space_unwrap(__isl_take isl_space *dim)
1469 {
1470         isl_space *unwrap;
1471
1472         if (!dim)
1473                 return NULL;
1474
1475         if (!isl_space_is_wrapping(dim))
1476                 isl_die(dim->ctx, isl_error_invalid, "not a wrapping dim",
1477                         goto error);
1478
1479         unwrap = isl_space_copy(dim->nested[1]);
1480         isl_space_free(dim);
1481
1482         return unwrap;
1483 error:
1484         isl_space_free(dim);
1485         return NULL;
1486 }
1487
1488 int isl_space_is_named_or_nested(__isl_keep isl_space *dim, enum isl_dim_type type)
1489 {
1490         if (type != isl_dim_in && type != isl_dim_out)
1491                 return 0;
1492         if (!dim)
1493                 return -1;
1494         if (dim->tuple_id[type - isl_dim_in])
1495                 return 1;
1496         if (dim->nested[type - isl_dim_in])
1497                 return 1;
1498         return 0;
1499 }
1500
1501 int isl_space_may_be_set(__isl_keep isl_space *dim)
1502 {
1503         if (!dim)
1504                 return -1;
1505         if (isl_space_is_set(dim))
1506                 return 1;
1507         if (isl_space_dim(dim, isl_dim_in) != 0)
1508                 return 0;
1509         if (isl_space_is_named_or_nested(dim, isl_dim_in))
1510                 return 0;
1511         return 1;
1512 }
1513
1514 __isl_give isl_space *isl_space_reset(__isl_take isl_space *dim,
1515         enum isl_dim_type type)
1516 {
1517         if (!isl_space_is_named_or_nested(dim, type))
1518                 return dim;
1519
1520         dim = isl_space_cow(dim);
1521         if (!dim)
1522                 return NULL;
1523
1524         isl_id_free(dim->tuple_id[type - isl_dim_in]);
1525         dim->tuple_id[type - isl_dim_in] = NULL;
1526         isl_space_free(dim->nested[type - isl_dim_in]);
1527         dim->nested[type - isl_dim_in] = NULL;
1528
1529         return dim;
1530 }
1531
1532 __isl_give isl_space *isl_space_flatten(__isl_take isl_space *dim)
1533 {
1534         if (!dim)
1535                 return NULL;
1536         if (!dim->nested[0] && !dim->nested[1])
1537                 return dim;
1538
1539         if (dim->nested[0])
1540                 dim = isl_space_reset(dim, isl_dim_in);
1541         if (dim && dim->nested[1])
1542                 dim = isl_space_reset(dim, isl_dim_out);
1543
1544         return dim;
1545 }
1546
1547 __isl_give isl_space *isl_space_flatten_domain(__isl_take isl_space *dim)
1548 {
1549         if (!dim)
1550                 return NULL;
1551         if (!dim->nested[0])
1552                 return dim;
1553
1554         return isl_space_reset(dim, isl_dim_in);
1555 }
1556
1557 __isl_give isl_space *isl_space_flatten_range(__isl_take isl_space *dim)
1558 {
1559         if (!dim)
1560                 return NULL;
1561         if (!dim->nested[1])
1562                 return dim;
1563
1564         return isl_space_reset(dim, isl_dim_out);
1565 }
1566
1567 /* Replace the dimensions of the given type of dst by those of src.
1568  */
1569 __isl_give isl_space *isl_space_replace(__isl_take isl_space *dst,
1570         enum isl_dim_type type, __isl_keep isl_space *src)
1571 {
1572         dst = isl_space_cow(dst);
1573
1574         if (!dst || !src)
1575                 goto error;
1576
1577         dst = isl_space_drop_dims(dst, type, 0, isl_space_dim(dst, type));
1578         dst = isl_space_add_dims(dst, type, isl_space_dim(src, type));
1579         dst = copy_ids(dst, type, 0, src, type);
1580
1581         if (dst && type == isl_dim_param) {
1582                 int i;
1583                 for (i = 0; i <= 1; ++i) {
1584                         if (!dst->nested[i])
1585                                 continue;
1586                         dst->nested[i] = isl_space_replace(dst->nested[i],
1587                                                          type, src);
1588                         if (!dst->nested[i])
1589                                 goto error;
1590                 }
1591         }
1592
1593         return dst;
1594 error:
1595         isl_space_free(dst);
1596         return NULL;
1597 }
1598
1599 /* Given a dimension specification "dim" of a set, create a dimension
1600  * specification for the lift of the set.  In particular, the result
1601  * is of the form [dim -> local[..]], with n_local variables in the
1602  * range of the wrapped map.
1603  */
1604 __isl_give isl_space *isl_space_lift(__isl_take isl_space *dim, unsigned n_local)
1605 {
1606         isl_space *local_dim;
1607
1608         if (!dim)
1609                 return NULL;
1610
1611         local_dim = isl_space_dup(dim);
1612         local_dim = isl_space_drop_dims(local_dim, isl_dim_set, 0, dim->n_out);
1613         local_dim = isl_space_add_dims(local_dim, isl_dim_set, n_local);
1614         local_dim = isl_space_set_tuple_name(local_dim, isl_dim_set, "local");
1615         dim = isl_space_join(isl_space_from_domain(dim),
1616                             isl_space_from_range(local_dim));
1617         dim = isl_space_wrap(dim);
1618         dim = isl_space_set_tuple_name(dim, isl_dim_set, "lifted");
1619
1620         return dim;
1621 }
1622
1623 int isl_space_can_zip(__isl_keep isl_space *dim)
1624 {
1625         if (!dim)
1626                 return -1;
1627
1628         return dim->nested[0] && dim->nested[1];
1629 }
1630
1631 __isl_give isl_space *isl_space_zip(__isl_take isl_space *dim)
1632 {
1633         isl_space *dom, *ran;
1634         isl_space *dom_dom, *dom_ran, *ran_dom, *ran_ran;
1635
1636         if (!isl_space_can_zip(dim))
1637                 isl_die(dim->ctx, isl_error_invalid, "dim cannot be zipped",
1638                         goto error);
1639
1640         if (!dim)
1641                 return 0;
1642         dom = isl_space_unwrap(isl_space_domain(isl_space_copy(dim)));
1643         ran = isl_space_unwrap(isl_space_range(dim));
1644         dom_dom = isl_space_domain(isl_space_copy(dom));
1645         dom_ran = isl_space_range(dom);
1646         ran_dom = isl_space_domain(isl_space_copy(ran));
1647         ran_ran = isl_space_range(ran);
1648         dom = isl_space_join(isl_space_from_domain(dom_dom),
1649                            isl_space_from_range(ran_dom));
1650         ran = isl_space_join(isl_space_from_domain(dom_ran),
1651                            isl_space_from_range(ran_ran));
1652         return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
1653                             isl_space_from_range(isl_space_wrap(ran)));
1654 error:
1655         isl_space_free(dim);
1656         return NULL;
1657 }
1658
1659 int isl_space_has_named_params(__isl_keep isl_space *dim)
1660 {
1661         int i;
1662         unsigned off;
1663
1664         if (!dim)
1665                 return -1;
1666         if (dim->nparam == 0)
1667                 return 1;
1668         off = isl_space_offset(dim, isl_dim_param);
1669         if (off + dim->nparam > dim->n_id)
1670                 return 0;
1671         for (i = 0; i < dim->nparam; ++i)
1672                 if (!dim->ids[off + i])
1673                         return 0;
1674         return 1;
1675 }
1676
1677 /* Align the initial parameters of dim1 to match the order in dim2.
1678  */
1679 __isl_give isl_space *isl_space_align_params(__isl_take isl_space *dim1,
1680         __isl_take isl_space *dim2)
1681 {
1682         isl_reordering *exp;
1683
1684         if (!isl_space_has_named_params(dim1) || !isl_space_has_named_params(dim2))
1685                 isl_die(isl_space_get_ctx(dim1), isl_error_invalid,
1686                         "parameter alignment requires named parameters",
1687                         goto error);
1688
1689         dim2 = isl_space_params(dim2);
1690         exp = isl_parameter_alignment_reordering(dim1, dim2);
1691         exp = isl_reordering_extend_space(exp, dim1);
1692         isl_space_free(dim2);
1693         if (!exp)
1694                 return NULL;
1695         dim1 = isl_space_copy(exp->dim);
1696         isl_reordering_free(exp);
1697         return dim1;
1698 error:
1699         isl_space_free(dim1);
1700         isl_space_free(dim2);
1701         return NULL;
1702 }
1703
1704 /* Given the space of set (domain), construct a space for a map
1705  * with as domain the given space and as range the range of "model".
1706  */
1707 __isl_give isl_space *isl_space_extend_domain_with_range(
1708         __isl_take isl_space *domain, __isl_take isl_space *model)
1709 {
1710         isl_space *space;
1711
1712         space = isl_space_from_domain(domain);
1713         space = isl_space_add_dims(space, isl_dim_out,
1714                                     isl_space_dim(model, isl_dim_out));
1715         if (isl_space_has_tuple_id(model, isl_dim_out))
1716                 space = isl_space_set_tuple_id(space, isl_dim_out,
1717                                 isl_space_get_tuple_id(model, isl_dim_out));
1718         isl_space_free(model);
1719         return space;
1720 }