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 __isl_give isl_space *isl_space_set_dim_id(__isl_take isl_space *dim,
 438         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
 439 {
 440         dim = isl_space_cow(dim);
 441         if (!dim || !id)
 442                 goto error;
 443         isl_id_free(get_id(dim, type, pos));
 444         return set_id(dim, type, pos, id);
 445 error:
 446         isl_id_free(id);
 447         isl_space_free(dim);
 448         return NULL;
 449 }
 450
 451 int isl_space_has_dim_id(__isl_keep isl_space *dim,
 452         enum isl_dim_type type, unsigned pos)
 453 {
 454         if (!dim)
 455                 return -1;
 456         return get_id(dim, type, pos) != NULL;
 457 }
 458
 459 __isl_give isl_id *isl_space_get_dim_id(__isl_keep isl_space *dim,
 460         enum isl_dim_type type, unsigned pos)
 461 {
 462         if (!dim)
 463                 return NULL;
 464         if (!get_id(dim, type, pos))
 465                 isl_die(dim->ctx, isl_error_invalid,
 466                         "dim has no id", return NULL);
 467         return isl_id_copy(get_id(dim, type, pos));
 468 }
 469
 470 __isl_give isl_space *isl_space_set_tuple_name(__isl_take isl_space *dim,
 471         enum isl_dim_type type, const char *s)
 472 {
 473         isl_id *id;
 474
 475         if (!dim)
 476                 return NULL;
 477
 478         if (!s)
 479                 return isl_space_reset_tuple_id(dim, type);
 480
 481         if (!name_ok(dim->ctx, s))
 482                 goto error;
 483
 484         id = isl_id_alloc(dim->ctx, s, NULL);
 485         return isl_space_set_tuple_id(dim, type, id);
 486 error:
 487         isl_space_free(dim);
 488         return NULL;
 489 }
 490
 491 const char *isl_space_get_tuple_name(__isl_keep isl_space *dim,
 492          enum isl_dim_type type)
 493 {
 494         isl_id *id;
 495         if (!dim)
 496                 return NULL;
 497         if (type != isl_dim_in && type != isl_dim_out)
 498                 return NULL;
 499         id = dim->tuple_id[type - isl_dim_in];
 500         return id ? id->name : NULL;
 501 }
 502
 503 __isl_give isl_space *isl_space_set_dim_name(__isl_take isl_space *dim,
 504                                  enum isl_dim_type type, unsigned pos,
 505                                  const char *s)
 506 {
 507         isl_id *id;
 508
 509         if (!dim)
 510                 return NULL;
 511         if (!name_ok(dim->ctx, s))
 512                 goto error;
 513         id = isl_id_alloc(dim->ctx, s, NULL);
 514         return isl_space_set_dim_id(dim, type, pos, id);
 515 error:
 516         isl_space_free(dim);
 517         return NULL;
 518 }
 519
 520 __isl_keep const char *isl_space_get_dim_name(__isl_keep isl_space *dim,
 521                                  enum isl_dim_type type, unsigned pos)
 522 {
 523         isl_id *id = get_id(dim, type, pos);
 524         return id ? id->name : NULL;
 525 }
 526
 527 int isl_space_find_dim_by_id(__isl_keep isl_space *dim, enum isl_dim_type type,
 528         __isl_keep isl_id *id)
 529 {
 530         int i;
 531         int offset;
 532         int n;
 533
 534         if (!dim || !id)
 535                 return -1;
 536
 537         offset = isl_space_offset(dim, type);
 538         n = isl_space_dim(dim, type);
 539         for (i = 0; i < n && offset + i < dim->n_id; ++i)
 540                 if (dim->ids[offset + i] == id)
 541                         return i;
 542
 543         return -1;
 544 }
 545
 546 int isl_space_find_dim_by_name(__isl_keep isl_space *space,
 547         enum isl_dim_type type, const char *name)
 548 {
 549         int i;
 550         int offset;
 551         int n;
 552
 553         if (!space || !name)
 554                 return -1;
 555
 556         offset = isl_space_offset(space, type);
 557         n = isl_space_dim(space, type);
 558         for (i = 0; i < n && offset + i < space->n_id; ++i)
 559                 if (space->ids[offset + i]->name &&
 560                     !strcmp(space->ids[offset + i]->name, name))
 561                         return i;
 562
 563         return -1;
 564 }
 565
 566 static __isl_keep isl_id *tuple_id(__isl_keep isl_space *dim,
 567         enum isl_dim_type type)
 568 {
 569         if (!dim)
 570                 return NULL;
 571         if (type == isl_dim_in)
 572                 return dim->tuple_id[0];
 573         if (type == isl_dim_out)
 574                 return dim->tuple_id[1];
 575         return NULL;
 576 }
 577
 578 static __isl_keep isl_space *nested(__isl_keep isl_space *dim,
 579         enum isl_dim_type type)
 580 {
 581         if (!dim)
 582                 return NULL;
 583         if (type == isl_dim_in)
 584                 return dim->nested[0];
 585         if (type == isl_dim_out)
 586                 return dim->nested[1];
 587         return NULL;
 588 }
 589
 590 int isl_space_tuple_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 591                         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 592 {
 593         isl_id *id1, *id2;
 594         isl_space *nested1, *nested2;
 595
 596         if (!dim1 || !dim2)
 597                 return -1;
 598
 599         if (dim1 == dim2 && dim1_type == dim2_type)
 600                 return 1;
 601
 602         if (n(dim1, dim1_type) != n(dim2, dim2_type))
 603                 return 0;
 604         id1 = tuple_id(dim1, dim1_type);
 605         id2 = tuple_id(dim2, dim2_type);
 606         if (!id1 ^ !id2)
 607                 return 0;
 608         if (id1 && id1 != id2)
 609                 return 0;
 610         nested1 = nested(dim1, dim1_type);
 611         nested2 = nested(dim2, dim2_type);
 612         if (!nested1 ^ !nested2)
 613                 return 0;
 614         if (nested1 && !isl_space_is_equal(nested1, nested2))
 615                 return 0;
 616         return 1;
 617 }
 618
 619 static int match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 620         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 621 {
 622         int i;
 623
 624         if (dim1 == dim2 && dim1_type == dim2_type)
 625                 return 1;
 626
 627         if (!isl_space_tuple_match(dim1, dim1_type, dim2, dim2_type))
 628                 return 0;
 629
 630         if (!dim1->ids && !dim2->ids)
 631                 return 1;
 632
 633         for (i = 0; i < n(dim1, dim1_type); ++i) {
 634                 if (get_id(dim1, dim1_type, i) != get_id(dim2, dim2_type, i))
 635                         return 0;
 636         }
 637         return 1;
 638 }
 639
 640 int isl_space_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 641         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 642 {
 643         if (!dim1 || !dim2)
 644                 return -1;
 645
 646         return match(dim1, dim1_type, dim2, dim2_type);
 647 }
 648
 649 static void get_ids(__isl_keep isl_space *dim, enum isl_dim_type type,
 650         unsigned first, unsigned n, __isl_keep isl_id **ids)
 651 {
 652         int i;
 653
 654         for (i = 0; i < n ; ++i)
 655                 ids[i] = get_id(dim, type, first + i);
 656 }
 657
 658 __isl_give isl_space *isl_space_extend(__isl_take isl_space *dim,
 659                         unsigned nparam, unsigned n_in, unsigned n_out)
 660 {
 661         isl_id **ids = NULL;
 662
 663         if (!dim)
 664                 return NULL;
 665         if (dim->nparam == nparam && dim->n_in == n_in && dim->n_out == n_out)
 666                 return dim;
 667
 668         isl_assert(dim->ctx, dim->nparam <= nparam, goto error);
 669         isl_assert(dim->ctx, dim->n_in <= n_in, goto error);
 670         isl_assert(dim->ctx, dim->n_out <= n_out, goto error);
 671
 672         dim = isl_space_cow(dim);
 673
 674         if (dim->ids) {
 675                 ids = isl_calloc_array(dim->ctx, isl_id *,
 676                                          nparam + n_in + n_out);
 677                 if (!ids)
 678                         goto error;
 679                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
 680                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids + nparam);
 681                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + nparam + n_in);
 682                 free(dim->ids);
 683                 dim->ids = ids;
 684                 dim->n_id = nparam + n_in + n_out;
 685         }
 686         dim->nparam = nparam;
 687         dim->n_in = n_in;
 688         dim->n_out = n_out;
 689
 690         return dim;
 691 error:
 692         free(ids);
 693         isl_space_free(dim);
 694         return NULL;
 695 }
 696
 697 __isl_give isl_space *isl_space_add_dims(__isl_take isl_space *dim,
 698         enum isl_dim_type type, unsigned n)
 699 {
 700         if (!dim)
 701                 return NULL;
 702         dim = isl_space_reset(dim, type);
 703         switch (type) {
 704         case isl_dim_param:
 705                 dim = isl_space_extend(dim,
 706                                         dim->nparam + n, dim->n_in, dim->n_out);
 707                 if (dim && dim->nested[0] &&
 708                     !(dim->nested[0] = isl_space_add_dims(dim->nested[0],
 709                                                     isl_dim_param, n)))
 710                         goto error;
 711                 if (dim && dim->nested[1] &&
 712                     !(dim->nested[1] = isl_space_add_dims(dim->nested[1],
 713                                                     isl_dim_param, n)))
 714                         goto error;
 715                 return dim;
 716         case isl_dim_in:
 717                 return isl_space_extend(dim,
 718                                         dim->nparam, dim->n_in + n, dim->n_out);
 719         case isl_dim_out:
 720                 return isl_space_extend(dim,
 721                                         dim->nparam, dim->n_in, dim->n_out + n);
 722         default:
 723                 isl_die(dim->ctx, isl_error_invalid,
 724                         "cannot add dimensions of specified type", goto error);
 725         }
 726 error:
 727         isl_space_free(dim);
 728         return NULL;
 729 }
 730
 731 static int valid_dim_type(enum isl_dim_type type)
 732 {
 733         switch (type) {
 734         case isl_dim_param:
 735         case isl_dim_in:
 736         case isl_dim_out:
 737                 return 1;
 738         default:
 739                 return 0;
 740         }
 741 }
 742
 743 __isl_give isl_space *isl_space_insert_dims(__isl_take isl_space *dim,
 744         enum isl_dim_type type, unsigned pos, unsigned n)
 745 {
 746         isl_id **ids = NULL;
 747
 748         if (!dim)
 749                 return NULL;
 750         if (n == 0)
 751                 return isl_space_reset(dim, type);
 752
 753         if (!valid_dim_type(type))
 754                 isl_die(dim->ctx, isl_error_invalid,
 755                         "cannot insert dimensions of specified type",
 756                         goto error);
 757
 758         isl_assert(dim->ctx, pos <= isl_space_dim(dim, type), goto error);
 759
 760         dim = isl_space_cow(dim);
 761         if (!dim)
 762                 return NULL;
 763
 764         if (dim->ids) {
 765                 enum isl_dim_type t;
 766                 int off;
 767                 int s[3];
 768                 int *size = s - isl_dim_param;
 769                 ids = isl_calloc_array(dim->ctx, isl_id *,
 770                                      dim->nparam + dim->n_in + dim->n_out + n);
 771                 if (!ids)
 772                         goto error;
 773                 off = 0;
 774                 size[isl_dim_param] = dim->nparam;
 775                 size[isl_dim_in] = dim->n_in;
 776                 size[isl_dim_out] = dim->n_out;
 777                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 778                         if (t != type) {
 779                                 get_ids(dim, t, 0, size[t], ids + off);
 780                                 off += size[t];
 781                         } else {
 782                                 get_ids(dim, t, 0, pos, ids + off);
 783                                 off += pos + n;
 784                                 get_ids(dim, t, pos, size[t] - pos, ids + off);
 785                                 off += size[t] - pos;
 786                         }
 787                 }
 788                 free(dim->ids);
 789                 dim->ids = ids;
 790                 dim->n_id = dim->nparam + dim->n_in + dim->n_out + n;
 791         }
 792         switch (type) {
 793         case isl_dim_param:     dim->nparam += n; break;
 794         case isl_dim_in:        dim->n_in += n; break;
 795         case isl_dim_out:       dim->n_out += n; break;
 796         default:                ;
 797         }
 798         dim = isl_space_reset(dim, type);
 799
 800         return dim;
 801 error:
 802         isl_space_free(dim);
 803         return NULL;
 804 }
 805
 806 __isl_give isl_space *isl_space_move_dims(__isl_take isl_space *dim,
 807         enum isl_dim_type dst_type, unsigned dst_pos,
 808         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
 809 {
 810         int i;
 811
 812         if (!dim)
 813                 return NULL;
 814         if (n == 0)
 815                 return dim;
 816
 817         isl_assert(dim->ctx, src_pos + n <= isl_space_dim(dim, src_type),
 818                 goto error);
 819
 820         if (dst_type == src_type && dst_pos == src_pos)
 821                 return dim;
 822
 823         isl_assert(dim->ctx, dst_type != src_type, goto error);
 824
 825         dim = isl_space_reset(dim, src_type);
 826         dim = isl_space_reset(dim, dst_type);
 827
 828         dim = isl_space_cow(dim);
 829         if (!dim)
 830                 return NULL;
 831
 832         if (dim->ids) {
 833                 isl_id **ids;
 834                 enum isl_dim_type t;
 835                 int off;
 836                 int s[3];
 837                 int *size = s - isl_dim_param;
 838                 ids = isl_calloc_array(dim->ctx, isl_id *,
 839                                          dim->nparam + dim->n_in + dim->n_out);
 840                 if (!ids)
 841                         goto error;
 842                 off = 0;
 843                 size[isl_dim_param] = dim->nparam;
 844                 size[isl_dim_in] = dim->n_in;
 845                 size[isl_dim_out] = dim->n_out;
 846                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 847                         if (t == dst_type) {
 848                                 get_ids(dim, t, 0, dst_pos, ids + off);
 849                                 off += dst_pos;
 850                                 get_ids(dim, src_type, src_pos, n, ids + off);
 851                                 off += n;
 852                                 get_ids(dim, t, dst_pos, size[t] - dst_pos,
 853                                                 ids + off);
 854                                 off += size[t] - dst_pos;
 855                         } else if (t == src_type) {
 856                                 get_ids(dim, t, 0, src_pos, ids + off);
 857                                 off += src_pos;
 858                                 get_ids(dim, t, src_pos + n,
 859                                             size[t] - src_pos - n, ids + off);
 860                                 off += size[t] - src_pos - n;
 861                         } else {
 862                                 get_ids(dim, t, 0, size[t], ids + off);
 863                                 off += size[t];
 864                         }
 865                 }
 866                 free(dim->ids);
 867                 dim->ids = ids;
 868                 dim->n_id = dim->nparam + dim->n_in + dim->n_out;
 869         }
 870
 871         switch (dst_type) {
 872         case isl_dim_param:     dim->nparam += n; break;
 873         case isl_dim_in:        dim->n_in += n; break;
 874         case isl_dim_out:       dim->n_out += n; break;
 875         default:                ;
 876         }
 877
 878         switch (src_type) {
 879         case isl_dim_param:     dim->nparam -= n; break;
 880         case isl_dim_in:        dim->n_in -= n; break;
 881         case isl_dim_out:       dim->n_out -= n; break;
 882         default:                ;
 883         }
 884
 885         if (dst_type != isl_dim_param && src_type != isl_dim_param)
 886                 return dim;
 887
 888         for (i = 0; i < 2; ++i) {
 889                 if (!dim->nested[i])
 890                         continue;
 891                 dim->nested[i] = isl_space_replace(dim->nested[i],
 892                                                  isl_dim_param, dim);
 893                 if (!dim->nested[i])
 894                         goto error;
 895         }
 896
 897         return dim;
 898 error:
 899         isl_space_free(dim);
 900         return NULL;
 901 }
 902
 903 __isl_give isl_space *isl_space_join(__isl_take isl_space *left,
 904         __isl_take isl_space *right)
 905 {
 906         isl_space *dim;
 907
 908         if (!left || !right)
 909                 goto error;
 910
 911         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
 912                         goto error);
 913         isl_assert(left->ctx,
 914                 isl_space_tuple_match(left, isl_dim_out, right, isl_dim_in),
 915                 goto error);
 916
 917         dim = isl_space_alloc(left->ctx, left->nparam, left->n_in, right->n_out);
 918         if (!dim)
 919                 goto error;
 920
 921         dim = copy_ids(dim, isl_dim_param, 0, left, isl_dim_param);
 922         dim = copy_ids(dim, isl_dim_in, 0, left, isl_dim_in);
 923         dim = copy_ids(dim, isl_dim_out, 0, right, isl_dim_out);
 924
 925         if (dim && left->tuple_id[0] &&
 926             !(dim->tuple_id[0] = isl_id_copy(left->tuple_id[0])))
 927                 goto error;
 928         if (dim && right->tuple_id[1] &&
 929             !(dim->tuple_id[1] = isl_id_copy(right->tuple_id[1])))
 930                 goto error;
 931         if (dim && left->nested[0] &&
 932             !(dim->nested[0] = isl_space_copy(left->nested[0])))
 933                 goto error;
 934         if (dim && right->nested[1] &&
 935             !(dim->nested[1] = isl_space_copy(right->nested[1])))
 936                 goto error;
 937
 938         isl_space_free(left);
 939         isl_space_free(right);
 940
 941         return dim;
 942 error:
 943         isl_space_free(left);
 944         isl_space_free(right);
 945         return NULL;
 946 }
 947
 948 __isl_give isl_space *isl_space_product(__isl_take isl_space *left,
 949         __isl_take isl_space *right)
 950 {
 951         isl_space *dom1, *dom2, *nest1, *nest2;
 952
 953         if (!left || !right)
 954                 goto error;
 955
 956         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
 957                         goto error);
 958
 959         dom1 = isl_space_domain(isl_space_copy(left));
 960         dom2 = isl_space_domain(isl_space_copy(right));
 961         nest1 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
 962
 963         dom1 = isl_space_range(left);
 964         dom2 = isl_space_range(right);
 965         nest2 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
 966
 967         return isl_space_join(isl_space_reverse(nest1), nest2);
 968 error:
 969         isl_space_free(left);
 970         isl_space_free(right);
 971         return NULL;
 972 }
 973
 974 /* Given two spaces { A -> C } and { B -> C }, construct the space
 975  * { [A -> B] -> C }
 976  */
 977 __isl_give isl_space *isl_space_domain_product(__isl_take isl_space *left,
 978         __isl_take isl_space *right)
 979 {
 980         isl_space *ran, *dom1, *dom2, *nest;
 981
 982         if (!left || !right)
 983                 goto error;
 984
 985         if (!match(left, isl_dim_param, right, isl_dim_param))
 986                 isl_die(left->ctx, isl_error_invalid,
 987                         "parameters need to match", goto error);
 988         if (!isl_space_tuple_match(left, isl_dim_out, right, isl_dim_out))
 989                 isl_die(left->ctx, isl_error_invalid,
 990                         "ranges need to match", goto error);
 991
 992         ran = isl_space_range(isl_space_copy(left));
 993
 994         dom1 = isl_space_domain(left);
 995         dom2 = isl_space_domain(right);
 996         nest = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
 997
 998         return isl_space_join(isl_space_reverse(nest), ran);
 999 error:
1000         isl_space_free(left);
1001         isl_space_free(right);
1002         return NULL;
1003 }
1004
1005 __isl_give isl_space *isl_space_range_product(__isl_take isl_space *left,
1006         __isl_take isl_space *right)
1007 {
1008         isl_space *dom, *ran1, *ran2, *nest;
1009
1010         if (!left || !right)
1011                 goto error;
1012
1013         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1014                         goto error);
1015         if (!isl_space_tuple_match(left, isl_dim_in, right, isl_dim_in))
1016                 isl_die(left->ctx, isl_error_invalid,
1017                         "domains need to match", goto error);
1018
1019         dom = isl_space_domain(isl_space_copy(left));
1020
1021         ran1 = isl_space_range(left);
1022         ran2 = isl_space_range(right);
1023         nest = isl_space_wrap(isl_space_join(isl_space_reverse(ran1), ran2));
1024
1025         return isl_space_join(isl_space_reverse(dom), nest);
1026 error:
1027         isl_space_free(left);
1028         isl_space_free(right);
1029         return NULL;
1030 }
1031
1032 __isl_give isl_space *isl_space_map_from_set(__isl_take isl_space *dim)
1033 {
1034         isl_ctx *ctx;
1035         isl_id **ids = NULL;
1036
1037         if (!dim)
1038                 return NULL;
1039         ctx = isl_space_get_ctx(dim);
1040         if (!isl_space_is_set(dim))
1041                 isl_die(ctx, isl_error_invalid, "not a set space", goto error);
1042         dim = isl_space_cow(dim);
1043         if (!dim)
1044                 return NULL;
1045         if (dim->ids) {
1046                 ids = isl_calloc_array(dim->ctx, isl_id *,
1047                                         dim->nparam + dim->n_out + dim->n_out);
1048                 if (!ids)
1049                         goto error;
1050                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
1051                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->nparam);
1052         }
1053         dim->n_in = dim->n_out;
1054         if (ids) {
1055                 free(dim->ids);
1056                 dim->ids = ids;
1057                 dim->n_id = dim->nparam + dim->n_out + dim->n_out;
1058                 dim = copy_ids(dim, isl_dim_out, 0, dim, isl_dim_in);
1059         }
1060         isl_id_free(dim->tuple_id[0]);
1061         dim->tuple_id[0] = isl_id_copy(dim->tuple_id[1]);
1062         isl_space_free(dim->nested[0]);
1063         dim->nested[0] = isl_space_copy(dim->nested[1]);
1064         return dim;
1065 error:
1066         isl_space_free(dim);
1067         return NULL;
1068 }
1069
1070 __isl_give isl_space *isl_space_map_from_domain_and_range(
1071         __isl_take isl_space *domain, __isl_take isl_space *range)
1072 {
1073         if (!domain || !range)
1074                 goto error;
1075         if (!isl_space_is_set(domain))
1076                 isl_die(isl_space_get_ctx(domain), isl_error_invalid,
1077                         "domain is not a set space", goto error);
1078         if (!isl_space_is_set(range))
1079                 isl_die(isl_space_get_ctx(range), isl_error_invalid,
1080                         "range is not a set space", goto error);
1081         return isl_space_join(isl_space_reverse(domain), range);
1082 error:
1083         isl_space_free(domain);
1084         isl_space_free(range);
1085         return NULL;
1086 }
1087
1088 static __isl_give isl_space *set_ids(__isl_take isl_space *dim,
1089         enum isl_dim_type type,
1090         unsigned first, unsigned n, __isl_take isl_id **ids)
1091 {
1092         int i;
1093
1094         for (i = 0; i < n ; ++i)
1095                 dim = set_id(dim, type, first + i, ids[i]);
1096
1097         return dim;
1098 }
1099
1100 __isl_give isl_space *isl_space_reverse(__isl_take isl_space *dim)
1101 {
1102         unsigned t;
1103         isl_space *nested;
1104         isl_id **ids = NULL;
1105         isl_id *id;
1106
1107         if (!dim)
1108                 return NULL;
1109         if (match(dim, isl_dim_in, dim, isl_dim_out))
1110                 return dim;
1111
1112         dim = isl_space_cow(dim);
1113         if (!dim)
1114                 return NULL;
1115
1116         id = dim->tuple_id[0];
1117         dim->tuple_id[0] = dim->tuple_id[1];
1118         dim->tuple_id[1] = id;
1119
1120         nested = dim->nested[0];
1121         dim->nested[0] = dim->nested[1];
1122         dim->nested[1] = nested;
1123
1124         if (dim->ids) {
1125                 ids = isl_alloc_array(dim->ctx, isl_id *,
1126                                         dim->n_in + dim->n_out);
1127                 if (!ids)
1128                         goto error;
1129                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids);
1130                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->n_in);
1131         }
1132
1133         t = dim->n_in;
1134         dim->n_in = dim->n_out;
1135         dim->n_out = t;
1136
1137         if (dim->ids) {
1138                 dim = set_ids(dim, isl_dim_out, 0, dim->n_out, ids);
1139                 dim = set_ids(dim, isl_dim_in, 0, dim->n_in, ids + dim->n_out);
1140                 free(ids);
1141         }
1142
1143         return dim;
1144 error:
1145         free(ids);
1146         isl_space_free(dim);
1147         return NULL;
1148 }
1149
1150 __isl_give isl_space *isl_space_drop_dims(__isl_take isl_space *dim,
1151         enum isl_dim_type type, unsigned first, unsigned num)
1152 {
1153         int i;
1154
1155         if (!dim)
1156                 return NULL;
1157
1158         if (num == 0)
1159                 return isl_space_reset(dim, type);
1160
1161         if (!valid_dim_type(type))
1162                 isl_die(dim->ctx, isl_error_invalid,
1163                         "cannot drop dimensions of specified type", goto error);
1164
1165         isl_assert(dim->ctx, first + num <= n(dim, type), goto error);
1166         dim = isl_space_cow(dim);
1167         if (!dim)
1168                 goto error;
1169         if (dim->ids) {
1170                 dim = extend_ids(dim);
1171                 if (!dim)
1172                         goto error;
1173                 for (i = 0; i < num; ++i)
1174                         isl_id_free(get_id(dim, type, first + i));
1175                 for (i = first+num; i < n(dim, type); ++i)
1176                         set_id(dim, type, i - num, get_id(dim, type, i));
1177                 switch (type) {
1178                 case isl_dim_param:
1179                         get_ids(dim, isl_dim_in, 0, dim->n_in,
1180                                 dim->ids + offset(dim, isl_dim_in) - num);
1181                 case isl_dim_in:
1182                         get_ids(dim, isl_dim_out, 0, dim->n_out,
1183                                 dim->ids + offset(dim, isl_dim_out) - num);
1184                 default:
1185                         ;
1186                 }
1187                 dim->n_id -= num;
1188         }
1189         switch (type) {
1190         case isl_dim_param:     dim->nparam -= num; break;
1191         case isl_dim_in:        dim->n_in -= num; break;
1192         case isl_dim_out:       dim->n_out -= num; break;
1193         default:                ;
1194         }
1195         dim = isl_space_reset(dim, type);
1196         if (type == isl_dim_param) {
1197                 if (dim && dim->nested[0] &&
1198                     !(dim->nested[0] = isl_space_drop_dims(dim->nested[0],
1199                                                     isl_dim_param, first, num)))
1200                         goto error;
1201                 if (dim && dim->nested[1] &&
1202                     !(dim->nested[1] = isl_space_drop_dims(dim->nested[1],
1203                                                     isl_dim_param, first, num)))
1204                         goto error;
1205         }
1206         return dim;
1207 error:
1208         isl_space_free(dim);
1209         return NULL;
1210 }
1211
1212 __isl_give isl_space *isl_space_drop_inputs(__isl_take isl_space *dim,
1213                 unsigned first, unsigned n)
1214 {
1215         if (!dim)
1216                 return NULL;
1217         return isl_space_drop_dims(dim, isl_dim_in, first, n);
1218 }
1219
1220 __isl_give isl_space *isl_space_drop_outputs(__isl_take isl_space *dim,
1221                 unsigned first, unsigned n)
1222 {
1223         if (!dim)
1224                 return NULL;
1225         return isl_space_drop_dims(dim, isl_dim_out, first, n);
1226 }
1227
1228 __isl_give isl_space *isl_space_domain(__isl_take isl_space *dim)
1229 {
1230         if (!dim)
1231                 return NULL;
1232         dim = isl_space_drop_outputs(dim, 0, dim->n_out);
1233         dim = isl_space_reverse(dim);
1234         dim = mark_as_set(dim);
1235         return dim;
1236 }
1237
1238 __isl_give isl_space *isl_space_from_domain(__isl_take isl_space *dim)
1239 {
1240         if (!dim)
1241                 return NULL;
1242         if (!isl_space_is_set(dim))
1243                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1244                         "not a set space", goto error);
1245         dim = isl_space_reverse(dim);
1246         dim = isl_space_reset(dim, isl_dim_out);
1247         return dim;
1248 error:
1249         isl_space_free(dim);
1250         return NULL;
1251 }
1252
1253 __isl_give isl_space *isl_space_range(__isl_take isl_space *dim)
1254 {
1255         if (!dim)
1256                 return NULL;
1257         dim = isl_space_drop_inputs(dim, 0, dim->n_in);
1258         dim = mark_as_set(dim);
1259         return dim;
1260 }
1261
1262 __isl_give isl_space *isl_space_from_range(__isl_take isl_space *dim)
1263 {
1264         if (!dim)
1265                 return NULL;
1266         if (!isl_space_is_set(dim))
1267                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1268                         "not a set space", goto error);
1269         return isl_space_reset(dim, isl_dim_in);
1270 error:
1271         isl_space_free(dim);
1272         return NULL;
1273 }
1274
1275 __isl_give isl_space *isl_space_params(__isl_take isl_space *space)
1276 {
1277         if (isl_space_is_params(space))
1278                 return space;
1279         space = isl_space_drop_dims(space,
1280                             isl_dim_in, 0, isl_space_dim(space, isl_dim_in));
1281         space = isl_space_drop_dims(space,
1282                             isl_dim_out, 0, isl_space_dim(space, isl_dim_out));
1283         space = mark_as_params(space);
1284         return space;
1285 }
1286
1287 __isl_give isl_space *isl_space_set_from_params(__isl_take isl_space *space)
1288 {
1289         if (!space)
1290                 return NULL;
1291         if (!isl_space_is_params(space))
1292                 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1293                         "not a parameter space", goto error);
1294         return isl_space_reset(space, isl_dim_set);
1295 error:
1296         isl_space_free(space);
1297         return NULL;
1298 }
1299
1300 __isl_give isl_space *isl_space_as_set_space(__isl_take isl_space *dim)
1301 {
1302         dim = isl_space_cow(dim);
1303         if (!dim)
1304                 return NULL;
1305
1306         dim->n_out += dim->n_in;
1307         dim->n_in = 0;
1308         dim = isl_space_reset(dim, isl_dim_in);
1309         dim = isl_space_reset(dim, isl_dim_out);
1310
1311         return dim;
1312 }
1313
1314 __isl_give isl_space *isl_space_underlying(__isl_take isl_space *dim,
1315         unsigned n_div)
1316 {
1317         int i;
1318
1319         if (!dim)
1320                 return NULL;
1321         if (n_div == 0 &&
1322             dim->nparam == 0 && dim->n_in == 0 && dim->n_id == 0)
1323                 return isl_space_reset(isl_space_reset(dim, isl_dim_in), isl_dim_out);
1324         dim = isl_space_cow(dim);
1325         if (!dim)
1326                 return NULL;
1327         dim->n_out += dim->nparam + dim->n_in + n_div;
1328         dim->nparam = 0;
1329         dim->n_in = 0;
1330
1331         for (i = 0; i < dim->n_id; ++i)
1332                 isl_id_free(get_id(dim, isl_dim_out, i));
1333         dim->n_id = 0;
1334         dim = isl_space_reset(dim, isl_dim_in);
1335         dim = isl_space_reset(dim, isl_dim_out);
1336
1337         return dim;
1338 }
1339
1340 int isl_space_is_equal(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1341 {
1342         if (!dim1 || !dim2)
1343                 return -1;
1344         if (dim1 == dim2)
1345                 return 1;
1346         return match(dim1, isl_dim_param, dim2, isl_dim_param) &&
1347                isl_space_tuple_match(dim1, isl_dim_in, dim2, isl_dim_in) &&
1348                isl_space_tuple_match(dim1, isl_dim_out, dim2, isl_dim_out);
1349 }
1350
1351 /* Is space1 equal to the domain of space2?
1352  */
1353 int isl_space_is_domain(__isl_keep isl_space *space1,
1354         __isl_keep isl_space *space2)
1355 {
1356         if (!space1 || !space2)
1357                 return -1;
1358         if (!isl_space_is_set(space1))
1359                 return 0;
1360         return match(space1, isl_dim_param, space2, isl_dim_param) &&
1361                isl_space_tuple_match(space1, isl_dim_set, space2, isl_dim_in);
1362 }
1363
1364 int isl_space_compatible(__isl_keep isl_space *dim1,
1365         __isl_keep isl_space *dim2)
1366 {
1367         return dim1->nparam == dim2->nparam &&
1368                dim1->n_in + dim1->n_out == dim2->n_in + dim2->n_out;
1369 }
1370
1371 static uint32_t isl_hash_dim(uint32_t hash, __isl_keep isl_space *dim)
1372 {
1373         int i;
1374         isl_id *id;
1375
1376         if (!dim)
1377                 return hash;
1378
1379         hash = isl_hash_builtin(hash, dim->nparam);
1380         hash = isl_hash_builtin(hash, dim->n_in);
1381         hash = isl_hash_builtin(hash, dim->n_out);
1382
1383         for (i = 0; i < dim->nparam; ++i) {
1384                 id = get_id(dim, isl_dim_param, i);
1385                 hash = isl_hash_id(hash, id);
1386         }
1387
1388         id = tuple_id(dim, isl_dim_in);
1389         hash = isl_hash_id(hash, id);
1390         id = tuple_id(dim, isl_dim_out);
1391         hash = isl_hash_id(hash, id);
1392
1393         hash = isl_hash_dim(hash, dim->nested[0]);
1394         hash = isl_hash_dim(hash, dim->nested[1]);
1395
1396         return hash;
1397 }
1398
1399 uint32_t isl_space_get_hash(__isl_keep isl_space *dim)
1400 {
1401         uint32_t hash;
1402
1403         if (!dim)
1404                 return 0;
1405
1406         hash = isl_hash_init();
1407         hash = isl_hash_dim(hash, dim);
1408
1409         return hash;
1410 }
1411
1412 int isl_space_is_wrapping(__isl_keep isl_space *dim)
1413 {
1414         if (!dim)
1415                 return -1;
1416
1417         if (!isl_space_is_set(dim))
1418                 return 0;
1419
1420         return dim->nested[1] != NULL;
1421 }
1422
1423 __isl_give isl_space *isl_space_wrap(__isl_take isl_space *dim)
1424 {
1425         isl_space *wrap;
1426
1427         if (!dim)
1428                 return NULL;
1429
1430         wrap = isl_space_set_alloc(dim->ctx,
1431                                     dim->nparam, dim->n_in + dim->n_out);
1432
1433         wrap = copy_ids(wrap, isl_dim_param, 0, dim, isl_dim_param);
1434         wrap = copy_ids(wrap, isl_dim_set, 0, dim, isl_dim_in);
1435         wrap = copy_ids(wrap, isl_dim_set, dim->n_in, dim, isl_dim_out);
1436
1437         if (!wrap)
1438                 goto error;
1439
1440         wrap->nested[1] = dim;
1441
1442         return wrap;
1443 error:
1444         isl_space_free(dim);
1445         return NULL;
1446 }
1447
1448 __isl_give isl_space *isl_space_unwrap(__isl_take isl_space *dim)
1449 {
1450         isl_space *unwrap;
1451
1452         if (!dim)
1453                 return NULL;
1454
1455         if (!isl_space_is_wrapping(dim))
1456                 isl_die(dim->ctx, isl_error_invalid, "not a wrapping dim",
1457                         goto error);
1458
1459         unwrap = isl_space_copy(dim->nested[1]);
1460         isl_space_free(dim);
1461
1462         return unwrap;
1463 error:
1464         isl_space_free(dim);
1465         return NULL;
1466 }
1467
1468 int isl_space_is_named_or_nested(__isl_keep isl_space *dim, enum isl_dim_type type)
1469 {
1470         if (type != isl_dim_in && type != isl_dim_out)
1471                 return 0;
1472         if (!dim)
1473                 return -1;
1474         if (dim->tuple_id[type - isl_dim_in])
1475                 return 1;
1476         if (dim->nested[type - isl_dim_in])
1477                 return 1;
1478         return 0;
1479 }
1480
1481 int isl_space_may_be_set(__isl_keep isl_space *dim)
1482 {
1483         if (!dim)
1484                 return -1;
1485         if (isl_space_is_set(dim))
1486                 return 1;
1487         if (isl_space_dim(dim, isl_dim_in) != 0)
1488                 return 0;
1489         if (isl_space_is_named_or_nested(dim, isl_dim_in))
1490                 return 0;
1491         return 1;
1492 }
1493
1494 __isl_give isl_space *isl_space_reset(__isl_take isl_space *dim,
1495         enum isl_dim_type type)
1496 {
1497         if (!isl_space_is_named_or_nested(dim, type))
1498                 return dim;
1499
1500         dim = isl_space_cow(dim);
1501         if (!dim)
1502                 return NULL;
1503
1504         isl_id_free(dim->tuple_id[type - isl_dim_in]);
1505         dim->tuple_id[type - isl_dim_in] = NULL;
1506         isl_space_free(dim->nested[type - isl_dim_in]);
1507         dim->nested[type - isl_dim_in] = NULL;
1508
1509         return dim;
1510 }
1511
1512 __isl_give isl_space *isl_space_flatten(__isl_take isl_space *dim)
1513 {
1514         if (!dim)
1515                 return NULL;
1516         if (!dim->nested[0] && !dim->nested[1])
1517                 return dim;
1518
1519         if (dim->nested[0])
1520                 dim = isl_space_reset(dim, isl_dim_in);
1521         if (dim && dim->nested[1])
1522                 dim = isl_space_reset(dim, isl_dim_out);
1523
1524         return dim;
1525 }
1526
1527 __isl_give isl_space *isl_space_flatten_domain(__isl_take isl_space *dim)
1528 {
1529         if (!dim)
1530                 return NULL;
1531         if (!dim->nested[0])
1532                 return dim;
1533
1534         return isl_space_reset(dim, isl_dim_in);
1535 }
1536
1537 __isl_give isl_space *isl_space_flatten_range(__isl_take isl_space *dim)
1538 {
1539         if (!dim)
1540                 return NULL;
1541         if (!dim->nested[1])
1542                 return dim;
1543
1544         return isl_space_reset(dim, isl_dim_out);
1545 }
1546
1547 /* Replace the dimensions of the given type of dst by those of src.
1548  */
1549 __isl_give isl_space *isl_space_replace(__isl_take isl_space *dst,
1550         enum isl_dim_type type, __isl_keep isl_space *src)
1551 {
1552         dst = isl_space_cow(dst);
1553
1554         if (!dst || !src)
1555                 goto error;
1556
1557         dst = isl_space_drop_dims(dst, type, 0, isl_space_dim(dst, type));
1558         dst = isl_space_add_dims(dst, type, isl_space_dim(src, type));
1559         dst = copy_ids(dst, type, 0, src, type);
1560
1561         if (dst && type == isl_dim_param) {
1562                 int i;
1563                 for (i = 0; i <= 1; ++i) {
1564                         if (!dst->nested[i])
1565                                 continue;
1566                         dst->nested[i] = isl_space_replace(dst->nested[i],
1567                                                          type, src);
1568                         if (!dst->nested[i])
1569                                 goto error;
1570                 }
1571         }
1572
1573         return dst;
1574 error:
1575         isl_space_free(dst);
1576         return NULL;
1577 }
1578
1579 /* Given a dimension specification "dim" of a set, create a dimension
1580  * specification for the lift of the set.  In particular, the result
1581  * is of the form [dim -> local[..]], with n_local variables in the
1582  * range of the wrapped map.
1583  */
1584 __isl_give isl_space *isl_space_lift(__isl_take isl_space *dim, unsigned n_local)
1585 {
1586         isl_space *local_dim;
1587
1588         if (!dim)
1589                 return NULL;
1590
1591         local_dim = isl_space_dup(dim);
1592         local_dim = isl_space_drop_dims(local_dim, isl_dim_set, 0, dim->n_out);
1593         local_dim = isl_space_add_dims(local_dim, isl_dim_set, n_local);
1594         local_dim = isl_space_set_tuple_name(local_dim, isl_dim_set, "local");
1595         dim = isl_space_join(isl_space_from_domain(dim),
1596                             isl_space_from_range(local_dim));
1597         dim = isl_space_wrap(dim);
1598         dim = isl_space_set_tuple_name(dim, isl_dim_set, "lifted");
1599
1600         return dim;
1601 }
1602
1603 int isl_space_can_zip(__isl_keep isl_space *dim)
1604 {
1605         if (!dim)
1606                 return -1;
1607
1608         return dim->nested[0] && dim->nested[1];
1609 }
1610
1611 __isl_give isl_space *isl_space_zip(__isl_take isl_space *dim)
1612 {
1613         isl_space *dom, *ran;
1614         isl_space *dom_dom, *dom_ran, *ran_dom, *ran_ran;
1615
1616         if (!isl_space_can_zip(dim))
1617                 isl_die(dim->ctx, isl_error_invalid, "dim cannot be zipped",
1618                         goto error);
1619
1620         if (!dim)
1621                 return 0;
1622         dom = isl_space_unwrap(isl_space_domain(isl_space_copy(dim)));
1623         ran = isl_space_unwrap(isl_space_range(dim));
1624         dom_dom = isl_space_domain(isl_space_copy(dom));
1625         dom_ran = isl_space_range(dom);
1626         ran_dom = isl_space_domain(isl_space_copy(ran));
1627         ran_ran = isl_space_range(ran);
1628         dom = isl_space_join(isl_space_from_domain(dom_dom),
1629                            isl_space_from_range(ran_dom));
1630         ran = isl_space_join(isl_space_from_domain(dom_ran),
1631                            isl_space_from_range(ran_ran));
1632         return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
1633                             isl_space_from_range(isl_space_wrap(ran)));
1634 error:
1635         isl_space_free(dim);
1636         return NULL;
1637 }
1638
1639 int isl_space_has_named_params(__isl_keep isl_space *dim)
1640 {
1641         int i;
1642         unsigned off;
1643
1644         if (!dim)
1645                 return -1;
1646         if (dim->nparam == 0)
1647                 return 1;
1648         off = isl_space_offset(dim, isl_dim_param);
1649         if (off + dim->nparam > dim->n_id)
1650                 return 0;
1651         for (i = 0; i < dim->nparam; ++i)
1652                 if (!dim->ids[off + i])
1653                         return 0;
1654         return 1;
1655 }
1656
1657 /* Align the initial parameters of dim1 to match the order in dim2.
1658  */
1659 __isl_give isl_space *isl_space_align_params(__isl_take isl_space *dim1,
1660         __isl_take isl_space *dim2)
1661 {
1662         isl_reordering *exp;
1663
1664         if (!isl_space_has_named_params(dim1) || !isl_space_has_named_params(dim2))
1665                 isl_die(isl_space_get_ctx(dim1), isl_error_invalid,
1666                         "parameter alignment requires named parameters",
1667                         goto error);
1668
1669         dim2 = isl_space_params(dim2);
1670         exp = isl_parameter_alignment_reordering(dim1, dim2);
1671         exp = isl_reordering_extend_space(exp, dim1);
1672         isl_space_free(dim2);
1673         if (!exp)
1674                 return NULL;
1675         dim1 = isl_space_copy(exp->dim);
1676         isl_reordering_free(exp);
1677         return dim1;
1678 error:
1679         isl_space_free(dim1);
1680         isl_space_free(dim2);
1681         return NULL;
1682 }
1683
1684 /* Given the space of set (domain), construct a space for a map
1685  * with as domain the given space and as range the range of "model".
1686  */
1687 __isl_give isl_space *isl_space_extend_domain_with_range(
1688         __isl_take isl_space *domain, __isl_take isl_space *model)
1689 {
1690         isl_space *space;
1691
1692         space = isl_space_from_domain(domain);
1693         space = isl_space_add_dims(space, isl_dim_out,
1694                                     isl_space_dim(model, isl_dim_out));
1695         if (isl_space_has_tuple_id(model, isl_dim_out))
1696                 space = isl_space_set_tuple_id(space, isl_dim_out,
1697                                 isl_space_get_tuple_id(model, isl_dim_out));
1698         isl_space_free(model);
1699         return space;
1700 }