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 /* Does the given dimension have a name?
 541  */
 542 int isl_space_has_dim_name(__isl_keep isl_space *space,
 543         enum isl_dim_type type, unsigned pos)
 544 {
 545         isl_id *id;
 546
 547         if (!space)
 548                 return -1;
 549         id = get_id(space, type, pos);
 550         return id && id->name;
 551 }
 552
 553 __isl_keep const char *isl_space_get_dim_name(__isl_keep isl_space *dim,
 554                                  enum isl_dim_type type, unsigned pos)
 555 {
 556         isl_id *id = get_id(dim, type, pos);
 557         return id ? id->name : NULL;
 558 }
 559
 560 int isl_space_find_dim_by_id(__isl_keep isl_space *dim, enum isl_dim_type type,
 561         __isl_keep isl_id *id)
 562 {
 563         int i;
 564         int offset;
 565         int n;
 566
 567         if (!dim || !id)
 568                 return -1;
 569
 570         offset = isl_space_offset(dim, type);
 571         n = isl_space_dim(dim, type);
 572         for (i = 0; i < n && offset + i < dim->n_id; ++i)
 573                 if (dim->ids[offset + i] == id)
 574                         return i;
 575
 576         return -1;
 577 }
 578
 579 int isl_space_find_dim_by_name(__isl_keep isl_space *space,
 580         enum isl_dim_type type, const char *name)
 581 {
 582         int i;
 583         int offset;
 584         int n;
 585
 586         if (!space || !name)
 587                 return -1;
 588
 589         offset = isl_space_offset(space, type);
 590         n = isl_space_dim(space, type);
 591         for (i = 0; i < n && offset + i < space->n_id; ++i)
 592                 if (space->ids[offset + i]->name &&
 593                     !strcmp(space->ids[offset + i]->name, name))
 594                         return i;
 595
 596         return -1;
 597 }
 598
 599 static __isl_keep isl_id *tuple_id(__isl_keep isl_space *dim,
 600         enum isl_dim_type type)
 601 {
 602         if (!dim)
 603                 return NULL;
 604         if (type == isl_dim_in)
 605                 return dim->tuple_id[0];
 606         if (type == isl_dim_out)
 607                 return dim->tuple_id[1];
 608         return NULL;
 609 }
 610
 611 static __isl_keep isl_space *nested(__isl_keep isl_space *dim,
 612         enum isl_dim_type type)
 613 {
 614         if (!dim)
 615                 return NULL;
 616         if (type == isl_dim_in)
 617                 return dim->nested[0];
 618         if (type == isl_dim_out)
 619                 return dim->nested[1];
 620         return NULL;
 621 }
 622
 623 int isl_space_tuple_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 624                         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 625 {
 626         isl_id *id1, *id2;
 627         isl_space *nested1, *nested2;
 628
 629         if (!dim1 || !dim2)
 630                 return -1;
 631
 632         if (dim1 == dim2 && dim1_type == dim2_type)
 633                 return 1;
 634
 635         if (n(dim1, dim1_type) != n(dim2, dim2_type))
 636                 return 0;
 637         id1 = tuple_id(dim1, dim1_type);
 638         id2 = tuple_id(dim2, dim2_type);
 639         if (!id1 ^ !id2)
 640                 return 0;
 641         if (id1 && id1 != id2)
 642                 return 0;
 643         nested1 = nested(dim1, dim1_type);
 644         nested2 = nested(dim2, dim2_type);
 645         if (!nested1 ^ !nested2)
 646                 return 0;
 647         if (nested1 && !isl_space_is_equal(nested1, nested2))
 648                 return 0;
 649         return 1;
 650 }
 651
 652 static int match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 653         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 654 {
 655         int i;
 656
 657         if (dim1 == dim2 && dim1_type == dim2_type)
 658                 return 1;
 659
 660         if (!isl_space_tuple_match(dim1, dim1_type, dim2, dim2_type))
 661                 return 0;
 662
 663         if (!dim1->ids && !dim2->ids)
 664                 return 1;
 665
 666         for (i = 0; i < n(dim1, dim1_type); ++i) {
 667                 if (get_id(dim1, dim1_type, i) != get_id(dim2, dim2_type, i))
 668                         return 0;
 669         }
 670         return 1;
 671 }
 672
 673 int isl_space_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 674         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 675 {
 676         if (!dim1 || !dim2)
 677                 return -1;
 678
 679         return match(dim1, dim1_type, dim2, dim2_type);
 680 }
 681
 682 static void get_ids(__isl_keep isl_space *dim, enum isl_dim_type type,
 683         unsigned first, unsigned n, __isl_keep isl_id **ids)
 684 {
 685         int i;
 686
 687         for (i = 0; i < n ; ++i)
 688                 ids[i] = get_id(dim, type, first + i);
 689 }
 690
 691 __isl_give isl_space *isl_space_extend(__isl_take isl_space *dim,
 692                         unsigned nparam, unsigned n_in, unsigned n_out)
 693 {
 694         isl_id **ids = NULL;
 695
 696         if (!dim)
 697                 return NULL;
 698         if (dim->nparam == nparam && dim->n_in == n_in && dim->n_out == n_out)
 699                 return dim;
 700
 701         isl_assert(dim->ctx, dim->nparam <= nparam, goto error);
 702         isl_assert(dim->ctx, dim->n_in <= n_in, goto error);
 703         isl_assert(dim->ctx, dim->n_out <= n_out, goto error);
 704
 705         dim = isl_space_cow(dim);
 706
 707         if (dim->ids) {
 708                 ids = isl_calloc_array(dim->ctx, isl_id *,
 709                                          nparam + n_in + n_out);
 710                 if (!ids)
 711                         goto error;
 712                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
 713                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids + nparam);
 714                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + nparam + n_in);
 715                 free(dim->ids);
 716                 dim->ids = ids;
 717                 dim->n_id = nparam + n_in + n_out;
 718         }
 719         dim->nparam = nparam;
 720         dim->n_in = n_in;
 721         dim->n_out = n_out;
 722
 723         return dim;
 724 error:
 725         free(ids);
 726         isl_space_free(dim);
 727         return NULL;
 728 }
 729
 730 __isl_give isl_space *isl_space_add_dims(__isl_take isl_space *dim,
 731         enum isl_dim_type type, unsigned n)
 732 {
 733         if (!dim)
 734                 return NULL;
 735         dim = isl_space_reset(dim, type);
 736         switch (type) {
 737         case isl_dim_param:
 738                 dim = isl_space_extend(dim,
 739                                         dim->nparam + n, dim->n_in, dim->n_out);
 740                 if (dim && dim->nested[0] &&
 741                     !(dim->nested[0] = isl_space_add_dims(dim->nested[0],
 742                                                     isl_dim_param, n)))
 743                         goto error;
 744                 if (dim && dim->nested[1] &&
 745                     !(dim->nested[1] = isl_space_add_dims(dim->nested[1],
 746                                                     isl_dim_param, n)))
 747                         goto error;
 748                 return dim;
 749         case isl_dim_in:
 750                 return isl_space_extend(dim,
 751                                         dim->nparam, dim->n_in + n, dim->n_out);
 752         case isl_dim_out:
 753                 return isl_space_extend(dim,
 754                                         dim->nparam, dim->n_in, dim->n_out + n);
 755         default:
 756                 isl_die(dim->ctx, isl_error_invalid,
 757                         "cannot add dimensions of specified type", goto error);
 758         }
 759 error:
 760         isl_space_free(dim);
 761         return NULL;
 762 }
 763
 764 static int valid_dim_type(enum isl_dim_type type)
 765 {
 766         switch (type) {
 767         case isl_dim_param:
 768         case isl_dim_in:
 769         case isl_dim_out:
 770                 return 1;
 771         default:
 772                 return 0;
 773         }
 774 }
 775
 776 __isl_give isl_space *isl_space_insert_dims(__isl_take isl_space *dim,
 777         enum isl_dim_type type, unsigned pos, unsigned n)
 778 {
 779         isl_id **ids = NULL;
 780
 781         if (!dim)
 782                 return NULL;
 783         if (n == 0)
 784                 return isl_space_reset(dim, type);
 785
 786         if (!valid_dim_type(type))
 787                 isl_die(dim->ctx, isl_error_invalid,
 788                         "cannot insert dimensions of specified type",
 789                         goto error);
 790
 791         isl_assert(dim->ctx, pos <= isl_space_dim(dim, type), goto error);
 792
 793         dim = isl_space_cow(dim);
 794         if (!dim)
 795                 return NULL;
 796
 797         if (dim->ids) {
 798                 enum isl_dim_type t;
 799                 int off;
 800                 int s[3];
 801                 int *size = s - isl_dim_param;
 802                 ids = isl_calloc_array(dim->ctx, isl_id *,
 803                                      dim->nparam + dim->n_in + dim->n_out + n);
 804                 if (!ids)
 805                         goto error;
 806                 off = 0;
 807                 size[isl_dim_param] = dim->nparam;
 808                 size[isl_dim_in] = dim->n_in;
 809                 size[isl_dim_out] = dim->n_out;
 810                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 811                         if (t != type) {
 812                                 get_ids(dim, t, 0, size[t], ids + off);
 813                                 off += size[t];
 814                         } else {
 815                                 get_ids(dim, t, 0, pos, ids + off);
 816                                 off += pos + n;
 817                                 get_ids(dim, t, pos, size[t] - pos, ids + off);
 818                                 off += size[t] - pos;
 819                         }
 820                 }
 821                 free(dim->ids);
 822                 dim->ids = ids;
 823                 dim->n_id = dim->nparam + dim->n_in + dim->n_out + n;
 824         }
 825         switch (type) {
 826         case isl_dim_param:     dim->nparam += n; break;
 827         case isl_dim_in:        dim->n_in += n; break;
 828         case isl_dim_out:       dim->n_out += n; break;
 829         default:                ;
 830         }
 831         dim = isl_space_reset(dim, type);
 832
 833         return dim;
 834 error:
 835         isl_space_free(dim);
 836         return NULL;
 837 }
 838
 839 __isl_give isl_space *isl_space_move_dims(__isl_take isl_space *dim,
 840         enum isl_dim_type dst_type, unsigned dst_pos,
 841         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
 842 {
 843         int i;
 844
 845         if (!dim)
 846                 return NULL;
 847         if (n == 0)
 848                 return dim;
 849
 850         isl_assert(dim->ctx, src_pos + n <= isl_space_dim(dim, src_type),
 851                 goto error);
 852
 853         if (dst_type == src_type && dst_pos == src_pos)
 854                 return dim;
 855
 856         isl_assert(dim->ctx, dst_type != src_type, goto error);
 857
 858         dim = isl_space_reset(dim, src_type);
 859         dim = isl_space_reset(dim, dst_type);
 860
 861         dim = isl_space_cow(dim);
 862         if (!dim)
 863                 return NULL;
 864
 865         if (dim->ids) {
 866                 isl_id **ids;
 867                 enum isl_dim_type t;
 868                 int off;
 869                 int s[3];
 870                 int *size = s - isl_dim_param;
 871                 ids = isl_calloc_array(dim->ctx, isl_id *,
 872                                          dim->nparam + dim->n_in + dim->n_out);
 873                 if (!ids)
 874                         goto error;
 875                 off = 0;
 876                 size[isl_dim_param] = dim->nparam;
 877                 size[isl_dim_in] = dim->n_in;
 878                 size[isl_dim_out] = dim->n_out;
 879                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 880                         if (t == dst_type) {
 881                                 get_ids(dim, t, 0, dst_pos, ids + off);
 882                                 off += dst_pos;
 883                                 get_ids(dim, src_type, src_pos, n, ids + off);
 884                                 off += n;
 885                                 get_ids(dim, t, dst_pos, size[t] - dst_pos,
 886                                                 ids + off);
 887                                 off += size[t] - dst_pos;
 888                         } else if (t == src_type) {
 889                                 get_ids(dim, t, 0, src_pos, ids + off);
 890                                 off += src_pos;
 891                                 get_ids(dim, t, src_pos + n,
 892                                             size[t] - src_pos - n, ids + off);
 893                                 off += size[t] - src_pos - n;
 894                         } else {
 895                                 get_ids(dim, t, 0, size[t], ids + off);
 896                                 off += size[t];
 897                         }
 898                 }
 899                 free(dim->ids);
 900                 dim->ids = ids;
 901                 dim->n_id = dim->nparam + dim->n_in + dim->n_out;
 902         }
 903
 904         switch (dst_type) {
 905         case isl_dim_param:     dim->nparam += n; break;
 906         case isl_dim_in:        dim->n_in += n; break;
 907         case isl_dim_out:       dim->n_out += n; break;
 908         default:                ;
 909         }
 910
 911         switch (src_type) {
 912         case isl_dim_param:     dim->nparam -= n; break;
 913         case isl_dim_in:        dim->n_in -= n; break;
 914         case isl_dim_out:       dim->n_out -= n; break;
 915         default:                ;
 916         }
 917
 918         if (dst_type != isl_dim_param && src_type != isl_dim_param)
 919                 return dim;
 920
 921         for (i = 0; i < 2; ++i) {
 922                 if (!dim->nested[i])
 923                         continue;
 924                 dim->nested[i] = isl_space_replace(dim->nested[i],
 925                                                  isl_dim_param, dim);
 926                 if (!dim->nested[i])
 927                         goto error;
 928         }
 929
 930         return dim;
 931 error:
 932         isl_space_free(dim);
 933         return NULL;
 934 }
 935
 936 __isl_give isl_space *isl_space_join(__isl_take isl_space *left,
 937         __isl_take isl_space *right)
 938 {
 939         isl_space *dim;
 940
 941         if (!left || !right)
 942                 goto error;
 943
 944         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
 945                         goto error);
 946         isl_assert(left->ctx,
 947                 isl_space_tuple_match(left, isl_dim_out, right, isl_dim_in),
 948                 goto error);
 949
 950         dim = isl_space_alloc(left->ctx, left->nparam, left->n_in, right->n_out);
 951         if (!dim)
 952                 goto error;
 953
 954         dim = copy_ids(dim, isl_dim_param, 0, left, isl_dim_param);
 955         dim = copy_ids(dim, isl_dim_in, 0, left, isl_dim_in);
 956         dim = copy_ids(dim, isl_dim_out, 0, right, isl_dim_out);
 957
 958         if (dim && left->tuple_id[0] &&
 959             !(dim->tuple_id[0] = isl_id_copy(left->tuple_id[0])))
 960                 goto error;
 961         if (dim && right->tuple_id[1] &&
 962             !(dim->tuple_id[1] = isl_id_copy(right->tuple_id[1])))
 963                 goto error;
 964         if (dim && left->nested[0] &&
 965             !(dim->nested[0] = isl_space_copy(left->nested[0])))
 966                 goto error;
 967         if (dim && right->nested[1] &&
 968             !(dim->nested[1] = isl_space_copy(right->nested[1])))
 969                 goto error;
 970
 971         isl_space_free(left);
 972         isl_space_free(right);
 973
 974         return dim;
 975 error:
 976         isl_space_free(left);
 977         isl_space_free(right);
 978         return NULL;
 979 }
 980
 981 __isl_give isl_space *isl_space_product(__isl_take isl_space *left,
 982         __isl_take isl_space *right)
 983 {
 984         isl_space *dom1, *dom2, *nest1, *nest2;
 985
 986         if (!left || !right)
 987                 goto error;
 988
 989         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
 990                         goto error);
 991
 992         dom1 = isl_space_domain(isl_space_copy(left));
 993         dom2 = isl_space_domain(isl_space_copy(right));
 994         nest1 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
 995
 996         dom1 = isl_space_range(left);
 997         dom2 = isl_space_range(right);
 998         nest2 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
 999
1000         return isl_space_join(isl_space_reverse(nest1), nest2);
1001 error:
1002         isl_space_free(left);
1003         isl_space_free(right);
1004         return NULL;
1005 }
1006
1007 /* Given two spaces { A -> C } and { B -> C }, construct the space
1008  * { [A -> B] -> C }
1009  */
1010 __isl_give isl_space *isl_space_domain_product(__isl_take isl_space *left,
1011         __isl_take isl_space *right)
1012 {
1013         isl_space *ran, *dom1, *dom2, *nest;
1014
1015         if (!left || !right)
1016                 goto error;
1017
1018         if (!match(left, isl_dim_param, right, isl_dim_param))
1019                 isl_die(left->ctx, isl_error_invalid,
1020                         "parameters need to match", goto error);
1021         if (!isl_space_tuple_match(left, isl_dim_out, right, isl_dim_out))
1022                 isl_die(left->ctx, isl_error_invalid,
1023                         "ranges need to match", goto error);
1024
1025         ran = isl_space_range(isl_space_copy(left));
1026
1027         dom1 = isl_space_domain(left);
1028         dom2 = isl_space_domain(right);
1029         nest = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1030
1031         return isl_space_join(isl_space_reverse(nest), ran);
1032 error:
1033         isl_space_free(left);
1034         isl_space_free(right);
1035         return NULL;
1036 }
1037
1038 __isl_give isl_space *isl_space_range_product(__isl_take isl_space *left,
1039         __isl_take isl_space *right)
1040 {
1041         isl_space *dom, *ran1, *ran2, *nest;
1042
1043         if (!left || !right)
1044                 goto error;
1045
1046         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1047                         goto error);
1048         if (!isl_space_tuple_match(left, isl_dim_in, right, isl_dim_in))
1049                 isl_die(left->ctx, isl_error_invalid,
1050                         "domains need to match", goto error);
1051
1052         dom = isl_space_domain(isl_space_copy(left));
1053
1054         ran1 = isl_space_range(left);
1055         ran2 = isl_space_range(right);
1056         nest = isl_space_wrap(isl_space_join(isl_space_reverse(ran1), ran2));
1057
1058         return isl_space_join(isl_space_reverse(dom), nest);
1059 error:
1060         isl_space_free(left);
1061         isl_space_free(right);
1062         return NULL;
1063 }
1064
1065 __isl_give isl_space *isl_space_map_from_set(__isl_take isl_space *dim)
1066 {
1067         isl_ctx *ctx;
1068         isl_id **ids = NULL;
1069
1070         if (!dim)
1071                 return NULL;
1072         ctx = isl_space_get_ctx(dim);
1073         if (!isl_space_is_set(dim))
1074                 isl_die(ctx, isl_error_invalid, "not a set space", goto error);
1075         dim = isl_space_cow(dim);
1076         if (!dim)
1077                 return NULL;
1078         if (dim->ids) {
1079                 ids = isl_calloc_array(dim->ctx, isl_id *,
1080                                         dim->nparam + dim->n_out + dim->n_out);
1081                 if (!ids)
1082                         goto error;
1083                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
1084                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->nparam);
1085         }
1086         dim->n_in = dim->n_out;
1087         if (ids) {
1088                 free(dim->ids);
1089                 dim->ids = ids;
1090                 dim->n_id = dim->nparam + dim->n_out + dim->n_out;
1091                 dim = copy_ids(dim, isl_dim_out, 0, dim, isl_dim_in);
1092         }
1093         isl_id_free(dim->tuple_id[0]);
1094         dim->tuple_id[0] = isl_id_copy(dim->tuple_id[1]);
1095         isl_space_free(dim->nested[0]);
1096         dim->nested[0] = isl_space_copy(dim->nested[1]);
1097         return dim;
1098 error:
1099         isl_space_free(dim);
1100         return NULL;
1101 }
1102
1103 __isl_give isl_space *isl_space_map_from_domain_and_range(
1104         __isl_take isl_space *domain, __isl_take isl_space *range)
1105 {
1106         if (!domain || !range)
1107                 goto error;
1108         if (!isl_space_is_set(domain))
1109                 isl_die(isl_space_get_ctx(domain), isl_error_invalid,
1110                         "domain is not a set space", goto error);
1111         if (!isl_space_is_set(range))
1112                 isl_die(isl_space_get_ctx(range), isl_error_invalid,
1113                         "range is not a set space", goto error);
1114         return isl_space_join(isl_space_reverse(domain), range);
1115 error:
1116         isl_space_free(domain);
1117         isl_space_free(range);
1118         return NULL;
1119 }
1120
1121 static __isl_give isl_space *set_ids(__isl_take isl_space *dim,
1122         enum isl_dim_type type,
1123         unsigned first, unsigned n, __isl_take isl_id **ids)
1124 {
1125         int i;
1126
1127         for (i = 0; i < n ; ++i)
1128                 dim = set_id(dim, type, first + i, ids[i]);
1129
1130         return dim;
1131 }
1132
1133 __isl_give isl_space *isl_space_reverse(__isl_take isl_space *dim)
1134 {
1135         unsigned t;
1136         isl_space *nested;
1137         isl_id **ids = NULL;
1138         isl_id *id;
1139
1140         if (!dim)
1141                 return NULL;
1142         if (match(dim, isl_dim_in, dim, isl_dim_out))
1143                 return dim;
1144
1145         dim = isl_space_cow(dim);
1146         if (!dim)
1147                 return NULL;
1148
1149         id = dim->tuple_id[0];
1150         dim->tuple_id[0] = dim->tuple_id[1];
1151         dim->tuple_id[1] = id;
1152
1153         nested = dim->nested[0];
1154         dim->nested[0] = dim->nested[1];
1155         dim->nested[1] = nested;
1156
1157         if (dim->ids) {
1158                 ids = isl_alloc_array(dim->ctx, isl_id *,
1159                                         dim->n_in + dim->n_out);
1160                 if (!ids)
1161                         goto error;
1162                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids);
1163                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->n_in);
1164         }
1165
1166         t = dim->n_in;
1167         dim->n_in = dim->n_out;
1168         dim->n_out = t;
1169
1170         if (dim->ids) {
1171                 dim = set_ids(dim, isl_dim_out, 0, dim->n_out, ids);
1172                 dim = set_ids(dim, isl_dim_in, 0, dim->n_in, ids + dim->n_out);
1173                 free(ids);
1174         }
1175
1176         return dim;
1177 error:
1178         free(ids);
1179         isl_space_free(dim);
1180         return NULL;
1181 }
1182
1183 __isl_give isl_space *isl_space_drop_dims(__isl_take isl_space *dim,
1184         enum isl_dim_type type, unsigned first, unsigned num)
1185 {
1186         int i;
1187
1188         if (!dim)
1189                 return NULL;
1190
1191         if (num == 0)
1192                 return isl_space_reset(dim, type);
1193
1194         if (!valid_dim_type(type))
1195                 isl_die(dim->ctx, isl_error_invalid,
1196                         "cannot drop dimensions of specified type", goto error);
1197
1198         isl_assert(dim->ctx, first + num <= n(dim, type), goto error);
1199         dim = isl_space_cow(dim);
1200         if (!dim)
1201                 goto error;
1202         if (dim->ids) {
1203                 dim = extend_ids(dim);
1204                 if (!dim)
1205                         goto error;
1206                 for (i = 0; i < num; ++i)
1207                         isl_id_free(get_id(dim, type, first + i));
1208                 for (i = first+num; i < n(dim, type); ++i)
1209                         set_id(dim, type, i - num, get_id(dim, type, i));
1210                 switch (type) {
1211                 case isl_dim_param:
1212                         get_ids(dim, isl_dim_in, 0, dim->n_in,
1213                                 dim->ids + offset(dim, isl_dim_in) - num);
1214                 case isl_dim_in:
1215                         get_ids(dim, isl_dim_out, 0, dim->n_out,
1216                                 dim->ids + offset(dim, isl_dim_out) - num);
1217                 default:
1218                         ;
1219                 }
1220                 dim->n_id -= num;
1221         }
1222         switch (type) {
1223         case isl_dim_param:     dim->nparam -= num; break;
1224         case isl_dim_in:        dim->n_in -= num; break;
1225         case isl_dim_out:       dim->n_out -= num; break;
1226         default:                ;
1227         }
1228         dim = isl_space_reset(dim, type);
1229         if (type == isl_dim_param) {
1230                 if (dim && dim->nested[0] &&
1231                     !(dim->nested[0] = isl_space_drop_dims(dim->nested[0],
1232                                                     isl_dim_param, first, num)))
1233                         goto error;
1234                 if (dim && dim->nested[1] &&
1235                     !(dim->nested[1] = isl_space_drop_dims(dim->nested[1],
1236                                                     isl_dim_param, first, num)))
1237                         goto error;
1238         }
1239         return dim;
1240 error:
1241         isl_space_free(dim);
1242         return NULL;
1243 }
1244
1245 __isl_give isl_space *isl_space_drop_inputs(__isl_take isl_space *dim,
1246                 unsigned first, unsigned n)
1247 {
1248         if (!dim)
1249                 return NULL;
1250         return isl_space_drop_dims(dim, isl_dim_in, first, n);
1251 }
1252
1253 __isl_give isl_space *isl_space_drop_outputs(__isl_take isl_space *dim,
1254                 unsigned first, unsigned n)
1255 {
1256         if (!dim)
1257                 return NULL;
1258         return isl_space_drop_dims(dim, isl_dim_out, first, n);
1259 }
1260
1261 __isl_give isl_space *isl_space_domain(__isl_take isl_space *dim)
1262 {
1263         if (!dim)
1264                 return NULL;
1265         dim = isl_space_drop_outputs(dim, 0, dim->n_out);
1266         dim = isl_space_reverse(dim);
1267         dim = mark_as_set(dim);
1268         return dim;
1269 }
1270
1271 __isl_give isl_space *isl_space_from_domain(__isl_take isl_space *dim)
1272 {
1273         if (!dim)
1274                 return NULL;
1275         if (!isl_space_is_set(dim))
1276                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1277                         "not a set space", goto error);
1278         dim = isl_space_reverse(dim);
1279         dim = isl_space_reset(dim, isl_dim_out);
1280         return dim;
1281 error:
1282         isl_space_free(dim);
1283         return NULL;
1284 }
1285
1286 __isl_give isl_space *isl_space_range(__isl_take isl_space *dim)
1287 {
1288         if (!dim)
1289                 return NULL;
1290         dim = isl_space_drop_inputs(dim, 0, dim->n_in);
1291         dim = mark_as_set(dim);
1292         return dim;
1293 }
1294
1295 __isl_give isl_space *isl_space_from_range(__isl_take isl_space *dim)
1296 {
1297         if (!dim)
1298                 return NULL;
1299         if (!isl_space_is_set(dim))
1300                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1301                         "not a set space", goto error);
1302         return isl_space_reset(dim, isl_dim_in);
1303 error:
1304         isl_space_free(dim);
1305         return NULL;
1306 }
1307
1308 __isl_give isl_space *isl_space_params(__isl_take isl_space *space)
1309 {
1310         if (isl_space_is_params(space))
1311                 return space;
1312         space = isl_space_drop_dims(space,
1313                             isl_dim_in, 0, isl_space_dim(space, isl_dim_in));
1314         space = isl_space_drop_dims(space,
1315                             isl_dim_out, 0, isl_space_dim(space, isl_dim_out));
1316         space = mark_as_params(space);
1317         return space;
1318 }
1319
1320 __isl_give isl_space *isl_space_set_from_params(__isl_take isl_space *space)
1321 {
1322         if (!space)
1323                 return NULL;
1324         if (!isl_space_is_params(space))
1325                 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1326                         "not a parameter space", goto error);
1327         return isl_space_reset(space, isl_dim_set);
1328 error:
1329         isl_space_free(space);
1330         return NULL;
1331 }
1332
1333 __isl_give isl_space *isl_space_as_set_space(__isl_take isl_space *dim)
1334 {
1335         dim = isl_space_cow(dim);
1336         if (!dim)
1337                 return NULL;
1338
1339         dim->n_out += dim->n_in;
1340         dim->n_in = 0;
1341         dim = isl_space_reset(dim, isl_dim_in);
1342         dim = isl_space_reset(dim, isl_dim_out);
1343
1344         return dim;
1345 }
1346
1347 __isl_give isl_space *isl_space_underlying(__isl_take isl_space *dim,
1348         unsigned n_div)
1349 {
1350         int i;
1351
1352         if (!dim)
1353                 return NULL;
1354         if (n_div == 0 &&
1355             dim->nparam == 0 && dim->n_in == 0 && dim->n_id == 0)
1356                 return isl_space_reset(isl_space_reset(dim, isl_dim_in), isl_dim_out);
1357         dim = isl_space_cow(dim);
1358         if (!dim)
1359                 return NULL;
1360         dim->n_out += dim->nparam + dim->n_in + n_div;
1361         dim->nparam = 0;
1362         dim->n_in = 0;
1363
1364         for (i = 0; i < dim->n_id; ++i)
1365                 isl_id_free(get_id(dim, isl_dim_out, i));
1366         dim->n_id = 0;
1367         dim = isl_space_reset(dim, isl_dim_in);
1368         dim = isl_space_reset(dim, isl_dim_out);
1369
1370         return dim;
1371 }
1372
1373 int isl_space_is_equal(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1374 {
1375         if (!dim1 || !dim2)
1376                 return -1;
1377         if (dim1 == dim2)
1378                 return 1;
1379         return match(dim1, isl_dim_param, dim2, isl_dim_param) &&
1380                isl_space_tuple_match(dim1, isl_dim_in, dim2, isl_dim_in) &&
1381                isl_space_tuple_match(dim1, isl_dim_out, dim2, isl_dim_out);
1382 }
1383
1384 /* Is space1 equal to the domain of space2?
1385  */
1386 int isl_space_is_domain(__isl_keep isl_space *space1,
1387         __isl_keep isl_space *space2)
1388 {
1389         if (!space1 || !space2)
1390                 return -1;
1391         if (!isl_space_is_set(space1))
1392                 return 0;
1393         return match(space1, isl_dim_param, space2, isl_dim_param) &&
1394                isl_space_tuple_match(space1, isl_dim_set, space2, isl_dim_in);
1395 }
1396
1397 int isl_space_compatible(__isl_keep isl_space *dim1,
1398         __isl_keep isl_space *dim2)
1399 {
1400         return dim1->nparam == dim2->nparam &&
1401                dim1->n_in + dim1->n_out == dim2->n_in + dim2->n_out;
1402 }
1403
1404 static uint32_t isl_hash_dim(uint32_t hash, __isl_keep isl_space *dim)
1405 {
1406         int i;
1407         isl_id *id;
1408
1409         if (!dim)
1410                 return hash;
1411
1412         hash = isl_hash_builtin(hash, dim->nparam);
1413         hash = isl_hash_builtin(hash, dim->n_in);
1414         hash = isl_hash_builtin(hash, dim->n_out);
1415
1416         for (i = 0; i < dim->nparam; ++i) {
1417                 id = get_id(dim, isl_dim_param, i);
1418                 hash = isl_hash_id(hash, id);
1419         }
1420
1421         id = tuple_id(dim, isl_dim_in);
1422         hash = isl_hash_id(hash, id);
1423         id = tuple_id(dim, isl_dim_out);
1424         hash = isl_hash_id(hash, id);
1425
1426         hash = isl_hash_dim(hash, dim->nested[0]);
1427         hash = isl_hash_dim(hash, dim->nested[1]);
1428
1429         return hash;
1430 }
1431
1432 uint32_t isl_space_get_hash(__isl_keep isl_space *dim)
1433 {
1434         uint32_t hash;
1435
1436         if (!dim)
1437                 return 0;
1438
1439         hash = isl_hash_init();
1440         hash = isl_hash_dim(hash, dim);
1441
1442         return hash;
1443 }
1444
1445 int isl_space_is_wrapping(__isl_keep isl_space *dim)
1446 {
1447         if (!dim)
1448                 return -1;
1449
1450         if (!isl_space_is_set(dim))
1451                 return 0;
1452
1453         return dim->nested[1] != NULL;
1454 }
1455
1456 __isl_give isl_space *isl_space_wrap(__isl_take isl_space *dim)
1457 {
1458         isl_space *wrap;
1459
1460         if (!dim)
1461                 return NULL;
1462
1463         wrap = isl_space_set_alloc(dim->ctx,
1464                                     dim->nparam, dim->n_in + dim->n_out);
1465
1466         wrap = copy_ids(wrap, isl_dim_param, 0, dim, isl_dim_param);
1467         wrap = copy_ids(wrap, isl_dim_set, 0, dim, isl_dim_in);
1468         wrap = copy_ids(wrap, isl_dim_set, dim->n_in, dim, isl_dim_out);
1469
1470         if (!wrap)
1471                 goto error;
1472
1473         wrap->nested[1] = dim;
1474
1475         return wrap;
1476 error:
1477         isl_space_free(dim);
1478         return NULL;
1479 }
1480
1481 __isl_give isl_space *isl_space_unwrap(__isl_take isl_space *dim)
1482 {
1483         isl_space *unwrap;
1484
1485         if (!dim)
1486                 return NULL;
1487
1488         if (!isl_space_is_wrapping(dim))
1489                 isl_die(dim->ctx, isl_error_invalid, "not a wrapping dim",
1490                         goto error);
1491
1492         unwrap = isl_space_copy(dim->nested[1]);
1493         isl_space_free(dim);
1494
1495         return unwrap;
1496 error:
1497         isl_space_free(dim);
1498         return NULL;
1499 }
1500
1501 int isl_space_is_named_or_nested(__isl_keep isl_space *dim, enum isl_dim_type type)
1502 {
1503         if (type != isl_dim_in && type != isl_dim_out)
1504                 return 0;
1505         if (!dim)
1506                 return -1;
1507         if (dim->tuple_id[type - isl_dim_in])
1508                 return 1;
1509         if (dim->nested[type - isl_dim_in])
1510                 return 1;
1511         return 0;
1512 }
1513
1514 int isl_space_may_be_set(__isl_keep isl_space *dim)
1515 {
1516         if (!dim)
1517                 return -1;
1518         if (isl_space_is_set(dim))
1519                 return 1;
1520         if (isl_space_dim(dim, isl_dim_in) != 0)
1521                 return 0;
1522         if (isl_space_is_named_or_nested(dim, isl_dim_in))
1523                 return 0;
1524         return 1;
1525 }
1526
1527 __isl_give isl_space *isl_space_reset(__isl_take isl_space *dim,
1528         enum isl_dim_type type)
1529 {
1530         if (!isl_space_is_named_or_nested(dim, type))
1531                 return dim;
1532
1533         dim = isl_space_cow(dim);
1534         if (!dim)
1535                 return NULL;
1536
1537         isl_id_free(dim->tuple_id[type - isl_dim_in]);
1538         dim->tuple_id[type - isl_dim_in] = NULL;
1539         isl_space_free(dim->nested[type - isl_dim_in]);
1540         dim->nested[type - isl_dim_in] = NULL;
1541
1542         return dim;
1543 }
1544
1545 __isl_give isl_space *isl_space_flatten(__isl_take isl_space *dim)
1546 {
1547         if (!dim)
1548                 return NULL;
1549         if (!dim->nested[0] && !dim->nested[1])
1550                 return dim;
1551
1552         if (dim->nested[0])
1553                 dim = isl_space_reset(dim, isl_dim_in);
1554         if (dim && dim->nested[1])
1555                 dim = isl_space_reset(dim, isl_dim_out);
1556
1557         return dim;
1558 }
1559
1560 __isl_give isl_space *isl_space_flatten_domain(__isl_take isl_space *dim)
1561 {
1562         if (!dim)
1563                 return NULL;
1564         if (!dim->nested[0])
1565                 return dim;
1566
1567         return isl_space_reset(dim, isl_dim_in);
1568 }
1569
1570 __isl_give isl_space *isl_space_flatten_range(__isl_take isl_space *dim)
1571 {
1572         if (!dim)
1573                 return NULL;
1574         if (!dim->nested[1])
1575                 return dim;
1576
1577         return isl_space_reset(dim, isl_dim_out);
1578 }
1579
1580 /* Replace the dimensions of the given type of dst by those of src.
1581  */
1582 __isl_give isl_space *isl_space_replace(__isl_take isl_space *dst,
1583         enum isl_dim_type type, __isl_keep isl_space *src)
1584 {
1585         dst = isl_space_cow(dst);
1586
1587         if (!dst || !src)
1588                 goto error;
1589
1590         dst = isl_space_drop_dims(dst, type, 0, isl_space_dim(dst, type));
1591         dst = isl_space_add_dims(dst, type, isl_space_dim(src, type));
1592         dst = copy_ids(dst, type, 0, src, type);
1593
1594         if (dst && type == isl_dim_param) {
1595                 int i;
1596                 for (i = 0; i <= 1; ++i) {
1597                         if (!dst->nested[i])
1598                                 continue;
1599                         dst->nested[i] = isl_space_replace(dst->nested[i],
1600                                                          type, src);
1601                         if (!dst->nested[i])
1602                                 goto error;
1603                 }
1604         }
1605
1606         return dst;
1607 error:
1608         isl_space_free(dst);
1609         return NULL;
1610 }
1611
1612 /* Given a dimension specification "dim" of a set, create a dimension
1613  * specification for the lift of the set.  In particular, the result
1614  * is of the form [dim -> local[..]], with n_local variables in the
1615  * range of the wrapped map.
1616  */
1617 __isl_give isl_space *isl_space_lift(__isl_take isl_space *dim, unsigned n_local)
1618 {
1619         isl_space *local_dim;
1620
1621         if (!dim)
1622                 return NULL;
1623
1624         local_dim = isl_space_dup(dim);
1625         local_dim = isl_space_drop_dims(local_dim, isl_dim_set, 0, dim->n_out);
1626         local_dim = isl_space_add_dims(local_dim, isl_dim_set, n_local);
1627         local_dim = isl_space_set_tuple_name(local_dim, isl_dim_set, "local");
1628         dim = isl_space_join(isl_space_from_domain(dim),
1629                             isl_space_from_range(local_dim));
1630         dim = isl_space_wrap(dim);
1631         dim = isl_space_set_tuple_name(dim, isl_dim_set, "lifted");
1632
1633         return dim;
1634 }
1635
1636 int isl_space_can_zip(__isl_keep isl_space *dim)
1637 {
1638         if (!dim)
1639                 return -1;
1640
1641         return dim->nested[0] && dim->nested[1];
1642 }
1643
1644 __isl_give isl_space *isl_space_zip(__isl_take isl_space *dim)
1645 {
1646         isl_space *dom, *ran;
1647         isl_space *dom_dom, *dom_ran, *ran_dom, *ran_ran;
1648
1649         if (!isl_space_can_zip(dim))
1650                 isl_die(dim->ctx, isl_error_invalid, "dim cannot be zipped",
1651                         goto error);
1652
1653         if (!dim)
1654                 return 0;
1655         dom = isl_space_unwrap(isl_space_domain(isl_space_copy(dim)));
1656         ran = isl_space_unwrap(isl_space_range(dim));
1657         dom_dom = isl_space_domain(isl_space_copy(dom));
1658         dom_ran = isl_space_range(dom);
1659         ran_dom = isl_space_domain(isl_space_copy(ran));
1660         ran_ran = isl_space_range(ran);
1661         dom = isl_space_join(isl_space_from_domain(dom_dom),
1662                            isl_space_from_range(ran_dom));
1663         ran = isl_space_join(isl_space_from_domain(dom_ran),
1664                            isl_space_from_range(ran_ran));
1665         return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
1666                             isl_space_from_range(isl_space_wrap(ran)));
1667 error:
1668         isl_space_free(dim);
1669         return NULL;
1670 }
1671
1672 int isl_space_has_named_params(__isl_keep isl_space *dim)
1673 {
1674         int i;
1675         unsigned off;
1676
1677         if (!dim)
1678                 return -1;
1679         if (dim->nparam == 0)
1680                 return 1;
1681         off = isl_space_offset(dim, isl_dim_param);
1682         if (off + dim->nparam > dim->n_id)
1683                 return 0;
1684         for (i = 0; i < dim->nparam; ++i)
1685                 if (!dim->ids[off + i])
1686                         return 0;
1687         return 1;
1688 }
1689
1690 /* Align the initial parameters of dim1 to match the order in dim2.
1691  */
1692 __isl_give isl_space *isl_space_align_params(__isl_take isl_space *dim1,
1693         __isl_take isl_space *dim2)
1694 {
1695         isl_reordering *exp;
1696
1697         if (!isl_space_has_named_params(dim1) || !isl_space_has_named_params(dim2))
1698                 isl_die(isl_space_get_ctx(dim1), isl_error_invalid,
1699                         "parameter alignment requires named parameters",
1700                         goto error);
1701
1702         dim2 = isl_space_params(dim2);
1703         exp = isl_parameter_alignment_reordering(dim1, dim2);
1704         exp = isl_reordering_extend_space(exp, dim1);
1705         isl_space_free(dim2);
1706         if (!exp)
1707                 return NULL;
1708         dim1 = isl_space_copy(exp->dim);
1709         isl_reordering_free(exp);
1710         return dim1;
1711 error:
1712         isl_space_free(dim1);
1713         isl_space_free(dim2);
1714         return NULL;
1715 }
1716
1717 /* Given the space of set (domain), construct a space for a map
1718  * with as domain the given space and as range the range of "model".
1719  */
1720 __isl_give isl_space *isl_space_extend_domain_with_range(
1721         __isl_take isl_space *domain, __isl_take isl_space *model)
1722 {
1723         isl_space *space;
1724
1725         space = isl_space_from_domain(domain);
1726         space = isl_space_add_dims(space, isl_dim_out,
1727                                     isl_space_dim(model, isl_dim_out));
1728         if (isl_space_has_tuple_id(model, isl_dim_out))
1729                 space = isl_space_set_tuple_id(space, isl_dim_out,
1730                                 isl_space_get_tuple_id(model, isl_dim_out));
1731         isl_space_free(model);
1732         return space;
1733 }