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 /* Is it possible for the given dimension type to have a tuple id?
 364  */
 365 static int space_can_have_id(__isl_keep isl_space *space,
 366         enum isl_dim_type type)
 367 {
 368         if (!space)
 369                 return 0;
 370         if (isl_space_is_params(space))
 371                 isl_die(space->ctx, isl_error_invalid,
 372                         "parameter spaces don't have tuple ids", return 0);
 373         if (isl_space_is_set(space) && type != isl_dim_set)
 374                 isl_die(space->ctx, isl_error_invalid,
 375                         "set spaces can only have a set id", return 0);
 376         if (type != isl_dim_in && type != isl_dim_out)
 377                 isl_die(space->ctx, isl_error_invalid,
 378                         "only input, output and set tuples can have ids",
 379                         return 0);
 380
 381         return 1;
 382 }
 383
 384 /* Does the tuple have an id?
 385  */
 386 int isl_space_has_tuple_id(__isl_keep isl_space *dim, enum isl_dim_type type)
 387 {
 388         if (!space_can_have_id(dim, type))
 389                 return -1;
 390         return dim->tuple_id[type - isl_dim_in] != NULL;
 391 }
 392
 393 __isl_give isl_id *isl_space_get_tuple_id(__isl_keep isl_space *dim,
 394         enum isl_dim_type type)
 395 {
 396         int has_id;
 397
 398         if (!dim)
 399                 return NULL;
 400         has_id = isl_space_has_tuple_id(dim, type);
 401         if (has_id < 0)
 402                 return NULL;
 403         if (!has_id)
 404                 isl_die(dim->ctx, isl_error_invalid,
 405                         "tuple has no id", return NULL);
 406         return isl_id_copy(dim->tuple_id[type - isl_dim_in]);
 407 }
 408
 409 __isl_give isl_space *isl_space_set_tuple_id(__isl_take isl_space *dim,
 410         enum isl_dim_type type, __isl_take isl_id *id)
 411 {
 412         dim = isl_space_cow(dim);
 413         if (!dim || !id)
 414                 goto error;
 415         if (type != isl_dim_in && type != isl_dim_out)
 416                 isl_die(dim->ctx, isl_error_invalid,
 417                         "only input, output and set tuples can have names",
 418                         goto error);
 419
 420         isl_id_free(dim->tuple_id[type - isl_dim_in]);
 421         dim->tuple_id[type - isl_dim_in] = id;
 422
 423         return dim;
 424 error:
 425         isl_id_free(id);
 426         isl_space_free(dim);
 427         return NULL;
 428 }
 429
 430 __isl_give isl_space *isl_space_reset_tuple_id(__isl_take isl_space *dim,
 431         enum isl_dim_type type)
 432 {
 433         dim = isl_space_cow(dim);
 434         if (!dim)
 435                 return NULL;
 436         if (type != isl_dim_in && type != isl_dim_out)
 437                 isl_die(dim->ctx, isl_error_invalid,
 438                         "only input, output and set tuples can have names",
 439                         goto error);
 440
 441         isl_id_free(dim->tuple_id[type - isl_dim_in]);
 442         dim->tuple_id[type - isl_dim_in] = NULL;
 443
 444         return dim;
 445 error:
 446         isl_space_free(dim);
 447         return NULL;
 448 }
 449
 450 /* Set the id of the given dimension of "space" to "id".
 451  * If the dimension already has an id, then it is replaced.
 452  * If the dimension is a parameter, then we need to change it
 453  * in the nested spaces (if any) as well.
 454  */
 455 __isl_give isl_space *isl_space_set_dim_id(__isl_take isl_space *space,
 456         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
 457 {
 458         space = isl_space_cow(space);
 459         if (!space || !id)
 460                 goto error;
 461
 462         if (type == isl_dim_param) {
 463                 int i;
 464
 465                 for (i = 0; i < 2; ++i) {
 466                         if (!space->nested[i])
 467                                 continue;
 468                         space->nested[i] =
 469                                 isl_space_set_dim_id(space->nested[i],
 470                                                 type, pos, isl_id_copy(id));
 471                         if (!space->nested[i])
 472                                 goto error;
 473                 }
 474         }
 475
 476         isl_id_free(get_id(space, type, pos));
 477         return set_id(space, type, pos, id);
 478 error:
 479         isl_id_free(id);
 480         isl_space_free(space);
 481         return NULL;
 482 }
 483
 484 int isl_space_has_dim_id(__isl_keep isl_space *dim,
 485         enum isl_dim_type type, unsigned pos)
 486 {
 487         if (!dim)
 488                 return -1;
 489         return get_id(dim, type, pos) != NULL;
 490 }
 491
 492 __isl_give isl_id *isl_space_get_dim_id(__isl_keep isl_space *dim,
 493         enum isl_dim_type type, unsigned pos)
 494 {
 495         if (!dim)
 496                 return NULL;
 497         if (!get_id(dim, type, pos))
 498                 isl_die(dim->ctx, isl_error_invalid,
 499                         "dim has no id", return NULL);
 500         return isl_id_copy(get_id(dim, type, pos));
 501 }
 502
 503 __isl_give isl_space *isl_space_set_tuple_name(__isl_take isl_space *dim,
 504         enum isl_dim_type type, const char *s)
 505 {
 506         isl_id *id;
 507
 508         if (!dim)
 509                 return NULL;
 510
 511         if (!s)
 512                 return isl_space_reset_tuple_id(dim, type);
 513
 514         if (!name_ok(dim->ctx, s))
 515                 goto error;
 516
 517         id = isl_id_alloc(dim->ctx, s, NULL);
 518         return isl_space_set_tuple_id(dim, type, id);
 519 error:
 520         isl_space_free(dim);
 521         return NULL;
 522 }
 523
 524 /* Does the tuple have a name?
 525  */
 526 int isl_space_has_tuple_name(__isl_keep isl_space *space,
 527         enum isl_dim_type type)
 528 {
 529         isl_id *id;
 530
 531         if (!space_can_have_id(space, type))
 532                 return -1;
 533         id = space->tuple_id[type - isl_dim_in];
 534         return id && id->name;
 535 }
 536
 537 const char *isl_space_get_tuple_name(__isl_keep isl_space *dim,
 538          enum isl_dim_type type)
 539 {
 540         isl_id *id;
 541         if (!dim)
 542                 return NULL;
 543         if (type != isl_dim_in && type != isl_dim_out)
 544                 return NULL;
 545         id = dim->tuple_id[type - isl_dim_in];
 546         return id ? id->name : NULL;
 547 }
 548
 549 __isl_give isl_space *isl_space_set_dim_name(__isl_take isl_space *dim,
 550                                  enum isl_dim_type type, unsigned pos,
 551                                  const char *s)
 552 {
 553         isl_id *id;
 554
 555         if (!dim)
 556                 return NULL;
 557         if (!name_ok(dim->ctx, s))
 558                 goto error;
 559         id = isl_id_alloc(dim->ctx, s, NULL);
 560         return isl_space_set_dim_id(dim, type, pos, id);
 561 error:
 562         isl_space_free(dim);
 563         return NULL;
 564 }
 565
 566 /* Does the given dimension have a name?
 567  */
 568 int isl_space_has_dim_name(__isl_keep isl_space *space,
 569         enum isl_dim_type type, unsigned pos)
 570 {
 571         isl_id *id;
 572
 573         if (!space)
 574                 return -1;
 575         id = get_id(space, type, pos);
 576         return id && id->name;
 577 }
 578
 579 __isl_keep const char *isl_space_get_dim_name(__isl_keep isl_space *dim,
 580                                  enum isl_dim_type type, unsigned pos)
 581 {
 582         isl_id *id = get_id(dim, type, pos);
 583         return id ? id->name : NULL;
 584 }
 585
 586 int isl_space_find_dim_by_id(__isl_keep isl_space *dim, enum isl_dim_type type,
 587         __isl_keep isl_id *id)
 588 {
 589         int i;
 590         int offset;
 591         int n;
 592
 593         if (!dim || !id)
 594                 return -1;
 595
 596         offset = isl_space_offset(dim, type);
 597         n = isl_space_dim(dim, type);
 598         for (i = 0; i < n && offset + i < dim->n_id; ++i)
 599                 if (dim->ids[offset + i] == id)
 600                         return i;
 601
 602         return -1;
 603 }
 604
 605 int isl_space_find_dim_by_name(__isl_keep isl_space *space,
 606         enum isl_dim_type type, const char *name)
 607 {
 608         int i;
 609         int offset;
 610         int n;
 611
 612         if (!space || !name)
 613                 return -1;
 614
 615         offset = isl_space_offset(space, type);
 616         n = isl_space_dim(space, type);
 617         for (i = 0; i < n && offset + i < space->n_id; ++i)
 618                 if (space->ids[offset + i]->name &&
 619                     !strcmp(space->ids[offset + i]->name, name))
 620                         return i;
 621
 622         return -1;
 623 }
 624
 625 static __isl_keep isl_id *tuple_id(__isl_keep isl_space *dim,
 626         enum isl_dim_type type)
 627 {
 628         if (!dim)
 629                 return NULL;
 630         if (type == isl_dim_in)
 631                 return dim->tuple_id[0];
 632         if (type == isl_dim_out)
 633                 return dim->tuple_id[1];
 634         return NULL;
 635 }
 636
 637 static __isl_keep isl_space *nested(__isl_keep isl_space *dim,
 638         enum isl_dim_type type)
 639 {
 640         if (!dim)
 641                 return NULL;
 642         if (type == isl_dim_in)
 643                 return dim->nested[0];
 644         if (type == isl_dim_out)
 645                 return dim->nested[1];
 646         return NULL;
 647 }
 648
 649 int isl_space_tuple_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 650                         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 651 {
 652         isl_id *id1, *id2;
 653         isl_space *nested1, *nested2;
 654
 655         if (!dim1 || !dim2)
 656                 return -1;
 657
 658         if (dim1 == dim2 && dim1_type == dim2_type)
 659                 return 1;
 660
 661         if (n(dim1, dim1_type) != n(dim2, dim2_type))
 662                 return 0;
 663         id1 = tuple_id(dim1, dim1_type);
 664         id2 = tuple_id(dim2, dim2_type);
 665         if (!id1 ^ !id2)
 666                 return 0;
 667         if (id1 && id1 != id2)
 668                 return 0;
 669         nested1 = nested(dim1, dim1_type);
 670         nested2 = nested(dim2, dim2_type);
 671         if (!nested1 ^ !nested2)
 672                 return 0;
 673         if (nested1 && !isl_space_is_equal(nested1, nested2))
 674                 return 0;
 675         return 1;
 676 }
 677
 678 static int match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 679         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 680 {
 681         int i;
 682
 683         if (dim1 == dim2 && dim1_type == dim2_type)
 684                 return 1;
 685
 686         if (!isl_space_tuple_match(dim1, dim1_type, dim2, dim2_type))
 687                 return 0;
 688
 689         if (!dim1->ids && !dim2->ids)
 690                 return 1;
 691
 692         for (i = 0; i < n(dim1, dim1_type); ++i) {
 693                 if (get_id(dim1, dim1_type, i) != get_id(dim2, dim2_type, i))
 694                         return 0;
 695         }
 696         return 1;
 697 }
 698
 699 int isl_space_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 700         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 701 {
 702         if (!dim1 || !dim2)
 703                 return -1;
 704
 705         return match(dim1, dim1_type, dim2, dim2_type);
 706 }
 707
 708 static void get_ids(__isl_keep isl_space *dim, enum isl_dim_type type,
 709         unsigned first, unsigned n, __isl_keep isl_id **ids)
 710 {
 711         int i;
 712
 713         for (i = 0; i < n ; ++i)
 714                 ids[i] = get_id(dim, type, first + i);
 715 }
 716
 717 __isl_give isl_space *isl_space_extend(__isl_take isl_space *dim,
 718                         unsigned nparam, unsigned n_in, unsigned n_out)
 719 {
 720         isl_id **ids = NULL;
 721
 722         if (!dim)
 723                 return NULL;
 724         if (dim->nparam == nparam && dim->n_in == n_in && dim->n_out == n_out)
 725                 return dim;
 726
 727         isl_assert(dim->ctx, dim->nparam <= nparam, goto error);
 728         isl_assert(dim->ctx, dim->n_in <= n_in, goto error);
 729         isl_assert(dim->ctx, dim->n_out <= n_out, goto error);
 730
 731         dim = isl_space_cow(dim);
 732
 733         if (dim->ids) {
 734                 ids = isl_calloc_array(dim->ctx, isl_id *,
 735                                          nparam + n_in + n_out);
 736                 if (!ids)
 737                         goto error;
 738                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
 739                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids + nparam);
 740                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + nparam + n_in);
 741                 free(dim->ids);
 742                 dim->ids = ids;
 743                 dim->n_id = nparam + n_in + n_out;
 744         }
 745         dim->nparam = nparam;
 746         dim->n_in = n_in;
 747         dim->n_out = n_out;
 748
 749         return dim;
 750 error:
 751         free(ids);
 752         isl_space_free(dim);
 753         return NULL;
 754 }
 755
 756 __isl_give isl_space *isl_space_add_dims(__isl_take isl_space *dim,
 757         enum isl_dim_type type, unsigned n)
 758 {
 759         if (!dim)
 760                 return NULL;
 761         dim = isl_space_reset(dim, type);
 762         switch (type) {
 763         case isl_dim_param:
 764                 dim = isl_space_extend(dim,
 765                                         dim->nparam + n, dim->n_in, dim->n_out);
 766                 if (dim && dim->nested[0] &&
 767                     !(dim->nested[0] = isl_space_add_dims(dim->nested[0],
 768                                                     isl_dim_param, n)))
 769                         goto error;
 770                 if (dim && dim->nested[1] &&
 771                     !(dim->nested[1] = isl_space_add_dims(dim->nested[1],
 772                                                     isl_dim_param, n)))
 773                         goto error;
 774                 return dim;
 775         case isl_dim_in:
 776                 return isl_space_extend(dim,
 777                                         dim->nparam, dim->n_in + n, dim->n_out);
 778         case isl_dim_out:
 779                 return isl_space_extend(dim,
 780                                         dim->nparam, dim->n_in, dim->n_out + n);
 781         default:
 782                 isl_die(dim->ctx, isl_error_invalid,
 783                         "cannot add dimensions of specified type", goto error);
 784         }
 785 error:
 786         isl_space_free(dim);
 787         return NULL;
 788 }
 789
 790 static int valid_dim_type(enum isl_dim_type type)
 791 {
 792         switch (type) {
 793         case isl_dim_param:
 794         case isl_dim_in:
 795         case isl_dim_out:
 796                 return 1;
 797         default:
 798                 return 0;
 799         }
 800 }
 801
 802 __isl_give isl_space *isl_space_insert_dims(__isl_take isl_space *dim,
 803         enum isl_dim_type type, unsigned pos, unsigned n)
 804 {
 805         isl_id **ids = NULL;
 806
 807         if (!dim)
 808                 return NULL;
 809         if (n == 0)
 810                 return isl_space_reset(dim, type);
 811
 812         if (!valid_dim_type(type))
 813                 isl_die(dim->ctx, isl_error_invalid,
 814                         "cannot insert dimensions of specified type",
 815                         goto error);
 816
 817         isl_assert(dim->ctx, pos <= isl_space_dim(dim, type), goto error);
 818
 819         dim = isl_space_cow(dim);
 820         if (!dim)
 821                 return NULL;
 822
 823         if (dim->ids) {
 824                 enum isl_dim_type t;
 825                 int off;
 826                 int s[3];
 827                 int *size = s - isl_dim_param;
 828                 ids = isl_calloc_array(dim->ctx, isl_id *,
 829                                      dim->nparam + dim->n_in + dim->n_out + n);
 830                 if (!ids)
 831                         goto error;
 832                 off = 0;
 833                 size[isl_dim_param] = dim->nparam;
 834                 size[isl_dim_in] = dim->n_in;
 835                 size[isl_dim_out] = dim->n_out;
 836                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 837                         if (t != type) {
 838                                 get_ids(dim, t, 0, size[t], ids + off);
 839                                 off += size[t];
 840                         } else {
 841                                 get_ids(dim, t, 0, pos, ids + off);
 842                                 off += pos + n;
 843                                 get_ids(dim, t, pos, size[t] - pos, ids + off);
 844                                 off += size[t] - pos;
 845                         }
 846                 }
 847                 free(dim->ids);
 848                 dim->ids = ids;
 849                 dim->n_id = dim->nparam + dim->n_in + dim->n_out + n;
 850         }
 851         switch (type) {
 852         case isl_dim_param:     dim->nparam += n; break;
 853         case isl_dim_in:        dim->n_in += n; break;
 854         case isl_dim_out:       dim->n_out += n; break;
 855         default:                ;
 856         }
 857         dim = isl_space_reset(dim, type);
 858
 859         return dim;
 860 error:
 861         isl_space_free(dim);
 862         return NULL;
 863 }
 864
 865 __isl_give isl_space *isl_space_move_dims(__isl_take isl_space *dim,
 866         enum isl_dim_type dst_type, unsigned dst_pos,
 867         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
 868 {
 869         int i;
 870
 871         if (!dim)
 872                 return NULL;
 873         if (n == 0)
 874                 return dim;
 875
 876         isl_assert(dim->ctx, src_pos + n <= isl_space_dim(dim, src_type),
 877                 goto error);
 878
 879         if (dst_type == src_type && dst_pos == src_pos)
 880                 return dim;
 881
 882         isl_assert(dim->ctx, dst_type != src_type, goto error);
 883
 884         dim = isl_space_reset(dim, src_type);
 885         dim = isl_space_reset(dim, dst_type);
 886
 887         dim = isl_space_cow(dim);
 888         if (!dim)
 889                 return NULL;
 890
 891         if (dim->ids) {
 892                 isl_id **ids;
 893                 enum isl_dim_type t;
 894                 int off;
 895                 int s[3];
 896                 int *size = s - isl_dim_param;
 897                 ids = isl_calloc_array(dim->ctx, isl_id *,
 898                                          dim->nparam + dim->n_in + dim->n_out);
 899                 if (!ids)
 900                         goto error;
 901                 off = 0;
 902                 size[isl_dim_param] = dim->nparam;
 903                 size[isl_dim_in] = dim->n_in;
 904                 size[isl_dim_out] = dim->n_out;
 905                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 906                         if (t == dst_type) {
 907                                 get_ids(dim, t, 0, dst_pos, ids + off);
 908                                 off += dst_pos;
 909                                 get_ids(dim, src_type, src_pos, n, ids + off);
 910                                 off += n;
 911                                 get_ids(dim, t, dst_pos, size[t] - dst_pos,
 912                                                 ids + off);
 913                                 off += size[t] - dst_pos;
 914                         } else if (t == src_type) {
 915                                 get_ids(dim, t, 0, src_pos, ids + off);
 916                                 off += src_pos;
 917                                 get_ids(dim, t, src_pos + n,
 918                                             size[t] - src_pos - n, ids + off);
 919                                 off += size[t] - src_pos - n;
 920                         } else {
 921                                 get_ids(dim, t, 0, size[t], ids + off);
 922                                 off += size[t];
 923                         }
 924                 }
 925                 free(dim->ids);
 926                 dim->ids = ids;
 927                 dim->n_id = dim->nparam + dim->n_in + dim->n_out;
 928         }
 929
 930         switch (dst_type) {
 931         case isl_dim_param:     dim->nparam += n; break;
 932         case isl_dim_in:        dim->n_in += n; break;
 933         case isl_dim_out:       dim->n_out += n; break;
 934         default:                ;
 935         }
 936
 937         switch (src_type) {
 938         case isl_dim_param:     dim->nparam -= n; break;
 939         case isl_dim_in:        dim->n_in -= n; break;
 940         case isl_dim_out:       dim->n_out -= n; break;
 941         default:                ;
 942         }
 943
 944         if (dst_type != isl_dim_param && src_type != isl_dim_param)
 945                 return dim;
 946
 947         for (i = 0; i < 2; ++i) {
 948                 if (!dim->nested[i])
 949                         continue;
 950                 dim->nested[i] = isl_space_replace(dim->nested[i],
 951                                                  isl_dim_param, dim);
 952                 if (!dim->nested[i])
 953                         goto error;
 954         }
 955
 956         return dim;
 957 error:
 958         isl_space_free(dim);
 959         return NULL;
 960 }
 961
 962 __isl_give isl_space *isl_space_join(__isl_take isl_space *left,
 963         __isl_take isl_space *right)
 964 {
 965         isl_space *dim;
 966
 967         if (!left || !right)
 968                 goto error;
 969
 970         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
 971                         goto error);
 972         isl_assert(left->ctx,
 973                 isl_space_tuple_match(left, isl_dim_out, right, isl_dim_in),
 974                 goto error);
 975
 976         dim = isl_space_alloc(left->ctx, left->nparam, left->n_in, right->n_out);
 977         if (!dim)
 978                 goto error;
 979
 980         dim = copy_ids(dim, isl_dim_param, 0, left, isl_dim_param);
 981         dim = copy_ids(dim, isl_dim_in, 0, left, isl_dim_in);
 982         dim = copy_ids(dim, isl_dim_out, 0, right, isl_dim_out);
 983
 984         if (dim && left->tuple_id[0] &&
 985             !(dim->tuple_id[0] = isl_id_copy(left->tuple_id[0])))
 986                 goto error;
 987         if (dim && right->tuple_id[1] &&
 988             !(dim->tuple_id[1] = isl_id_copy(right->tuple_id[1])))
 989                 goto error;
 990         if (dim && left->nested[0] &&
 991             !(dim->nested[0] = isl_space_copy(left->nested[0])))
 992                 goto error;
 993         if (dim && right->nested[1] &&
 994             !(dim->nested[1] = isl_space_copy(right->nested[1])))
 995                 goto error;
 996
 997         isl_space_free(left);
 998         isl_space_free(right);
 999
1000         return dim;
1001 error:
1002         isl_space_free(left);
1003         isl_space_free(right);
1004         return NULL;
1005 }
1006
1007 __isl_give isl_space *isl_space_product(__isl_take isl_space *left,
1008         __isl_take isl_space *right)
1009 {
1010         isl_space *dom1, *dom2, *nest1, *nest2;
1011
1012         if (!left || !right)
1013                 goto error;
1014
1015         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1016                         goto error);
1017
1018         dom1 = isl_space_domain(isl_space_copy(left));
1019         dom2 = isl_space_domain(isl_space_copy(right));
1020         nest1 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1021
1022         dom1 = isl_space_range(left);
1023         dom2 = isl_space_range(right);
1024         nest2 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1025
1026         return isl_space_join(isl_space_reverse(nest1), nest2);
1027 error:
1028         isl_space_free(left);
1029         isl_space_free(right);
1030         return NULL;
1031 }
1032
1033 /* Given two spaces { A -> C } and { B -> C }, construct the space
1034  * { [A -> B] -> C }
1035  */
1036 __isl_give isl_space *isl_space_domain_product(__isl_take isl_space *left,
1037         __isl_take isl_space *right)
1038 {
1039         isl_space *ran, *dom1, *dom2, *nest;
1040
1041         if (!left || !right)
1042                 goto error;
1043
1044         if (!match(left, isl_dim_param, right, isl_dim_param))
1045                 isl_die(left->ctx, isl_error_invalid,
1046                         "parameters need to match", goto error);
1047         if (!isl_space_tuple_match(left, isl_dim_out, right, isl_dim_out))
1048                 isl_die(left->ctx, isl_error_invalid,
1049                         "ranges need to match", goto error);
1050
1051         ran = isl_space_range(isl_space_copy(left));
1052
1053         dom1 = isl_space_domain(left);
1054         dom2 = isl_space_domain(right);
1055         nest = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1056
1057         return isl_space_join(isl_space_reverse(nest), ran);
1058 error:
1059         isl_space_free(left);
1060         isl_space_free(right);
1061         return NULL;
1062 }
1063
1064 __isl_give isl_space *isl_space_range_product(__isl_take isl_space *left,
1065         __isl_take isl_space *right)
1066 {
1067         isl_space *dom, *ran1, *ran2, *nest;
1068
1069         if (!left || !right)
1070                 goto error;
1071
1072         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1073                         goto error);
1074         if (!isl_space_tuple_match(left, isl_dim_in, right, isl_dim_in))
1075                 isl_die(left->ctx, isl_error_invalid,
1076                         "domains need to match", goto error);
1077
1078         dom = isl_space_domain(isl_space_copy(left));
1079
1080         ran1 = isl_space_range(left);
1081         ran2 = isl_space_range(right);
1082         nest = isl_space_wrap(isl_space_join(isl_space_reverse(ran1), ran2));
1083
1084         return isl_space_join(isl_space_reverse(dom), nest);
1085 error:
1086         isl_space_free(left);
1087         isl_space_free(right);
1088         return NULL;
1089 }
1090
1091 __isl_give isl_space *isl_space_map_from_set(__isl_take isl_space *dim)
1092 {
1093         isl_ctx *ctx;
1094         isl_id **ids = NULL;
1095
1096         if (!dim)
1097                 return NULL;
1098         ctx = isl_space_get_ctx(dim);
1099         if (!isl_space_is_set(dim))
1100                 isl_die(ctx, isl_error_invalid, "not a set space", goto error);
1101         dim = isl_space_cow(dim);
1102         if (!dim)
1103                 return NULL;
1104         if (dim->ids) {
1105                 ids = isl_calloc_array(dim->ctx, isl_id *,
1106                                         dim->nparam + dim->n_out + dim->n_out);
1107                 if (!ids)
1108                         goto error;
1109                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
1110                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->nparam);
1111         }
1112         dim->n_in = dim->n_out;
1113         if (ids) {
1114                 free(dim->ids);
1115                 dim->ids = ids;
1116                 dim->n_id = dim->nparam + dim->n_out + dim->n_out;
1117                 dim = copy_ids(dim, isl_dim_out, 0, dim, isl_dim_in);
1118         }
1119         isl_id_free(dim->tuple_id[0]);
1120         dim->tuple_id[0] = isl_id_copy(dim->tuple_id[1]);
1121         isl_space_free(dim->nested[0]);
1122         dim->nested[0] = isl_space_copy(dim->nested[1]);
1123         return dim;
1124 error:
1125         isl_space_free(dim);
1126         return NULL;
1127 }
1128
1129 __isl_give isl_space *isl_space_map_from_domain_and_range(
1130         __isl_take isl_space *domain, __isl_take isl_space *range)
1131 {
1132         if (!domain || !range)
1133                 goto error;
1134         if (!isl_space_is_set(domain))
1135                 isl_die(isl_space_get_ctx(domain), isl_error_invalid,
1136                         "domain is not a set space", goto error);
1137         if (!isl_space_is_set(range))
1138                 isl_die(isl_space_get_ctx(range), isl_error_invalid,
1139                         "range is not a set space", goto error);
1140         return isl_space_join(isl_space_reverse(domain), range);
1141 error:
1142         isl_space_free(domain);
1143         isl_space_free(range);
1144         return NULL;
1145 }
1146
1147 static __isl_give isl_space *set_ids(__isl_take isl_space *dim,
1148         enum isl_dim_type type,
1149         unsigned first, unsigned n, __isl_take isl_id **ids)
1150 {
1151         int i;
1152
1153         for (i = 0; i < n ; ++i)
1154                 dim = set_id(dim, type, first + i, ids[i]);
1155
1156         return dim;
1157 }
1158
1159 __isl_give isl_space *isl_space_reverse(__isl_take isl_space *dim)
1160 {
1161         unsigned t;
1162         isl_space *nested;
1163         isl_id **ids = NULL;
1164         isl_id *id;
1165
1166         if (!dim)
1167                 return NULL;
1168         if (match(dim, isl_dim_in, dim, isl_dim_out))
1169                 return dim;
1170
1171         dim = isl_space_cow(dim);
1172         if (!dim)
1173                 return NULL;
1174
1175         id = dim->tuple_id[0];
1176         dim->tuple_id[0] = dim->tuple_id[1];
1177         dim->tuple_id[1] = id;
1178
1179         nested = dim->nested[0];
1180         dim->nested[0] = dim->nested[1];
1181         dim->nested[1] = nested;
1182
1183         if (dim->ids) {
1184                 ids = isl_alloc_array(dim->ctx, isl_id *,
1185                                         dim->n_in + dim->n_out);
1186                 if (!ids)
1187                         goto error;
1188                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids);
1189                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->n_in);
1190         }
1191
1192         t = dim->n_in;
1193         dim->n_in = dim->n_out;
1194         dim->n_out = t;
1195
1196         if (dim->ids) {
1197                 dim = set_ids(dim, isl_dim_out, 0, dim->n_out, ids);
1198                 dim = set_ids(dim, isl_dim_in, 0, dim->n_in, ids + dim->n_out);
1199                 free(ids);
1200         }
1201
1202         return dim;
1203 error:
1204         free(ids);
1205         isl_space_free(dim);
1206         return NULL;
1207 }
1208
1209 __isl_give isl_space *isl_space_drop_dims(__isl_take isl_space *dim,
1210         enum isl_dim_type type, unsigned first, unsigned num)
1211 {
1212         int i;
1213
1214         if (!dim)
1215                 return NULL;
1216
1217         if (num == 0)
1218                 return isl_space_reset(dim, type);
1219
1220         if (!valid_dim_type(type))
1221                 isl_die(dim->ctx, isl_error_invalid,
1222                         "cannot drop dimensions of specified type", goto error);
1223
1224         isl_assert(dim->ctx, first + num <= n(dim, type), goto error);
1225         dim = isl_space_cow(dim);
1226         if (!dim)
1227                 goto error;
1228         if (dim->ids) {
1229                 dim = extend_ids(dim);
1230                 if (!dim)
1231                         goto error;
1232                 for (i = 0; i < num; ++i)
1233                         isl_id_free(get_id(dim, type, first + i));
1234                 for (i = first+num; i < n(dim, type); ++i)
1235                         set_id(dim, type, i - num, get_id(dim, type, i));
1236                 switch (type) {
1237                 case isl_dim_param:
1238                         get_ids(dim, isl_dim_in, 0, dim->n_in,
1239                                 dim->ids + offset(dim, isl_dim_in) - num);
1240                 case isl_dim_in:
1241                         get_ids(dim, isl_dim_out, 0, dim->n_out,
1242                                 dim->ids + offset(dim, isl_dim_out) - num);
1243                 default:
1244                         ;
1245                 }
1246                 dim->n_id -= num;
1247         }
1248         switch (type) {
1249         case isl_dim_param:     dim->nparam -= num; break;
1250         case isl_dim_in:        dim->n_in -= num; break;
1251         case isl_dim_out:       dim->n_out -= num; break;
1252         default:                ;
1253         }
1254         dim = isl_space_reset(dim, type);
1255         if (type == isl_dim_param) {
1256                 if (dim && dim->nested[0] &&
1257                     !(dim->nested[0] = isl_space_drop_dims(dim->nested[0],
1258                                                     isl_dim_param, first, num)))
1259                         goto error;
1260                 if (dim && dim->nested[1] &&
1261                     !(dim->nested[1] = isl_space_drop_dims(dim->nested[1],
1262                                                     isl_dim_param, first, num)))
1263                         goto error;
1264         }
1265         return dim;
1266 error:
1267         isl_space_free(dim);
1268         return NULL;
1269 }
1270
1271 __isl_give isl_space *isl_space_drop_inputs(__isl_take isl_space *dim,
1272                 unsigned first, unsigned n)
1273 {
1274         if (!dim)
1275                 return NULL;
1276         return isl_space_drop_dims(dim, isl_dim_in, first, n);
1277 }
1278
1279 __isl_give isl_space *isl_space_drop_outputs(__isl_take isl_space *dim,
1280                 unsigned first, unsigned n)
1281 {
1282         if (!dim)
1283                 return NULL;
1284         return isl_space_drop_dims(dim, isl_dim_out, first, n);
1285 }
1286
1287 __isl_give isl_space *isl_space_domain(__isl_take isl_space *dim)
1288 {
1289         if (!dim)
1290                 return NULL;
1291         dim = isl_space_drop_outputs(dim, 0, dim->n_out);
1292         dim = isl_space_reverse(dim);
1293         dim = mark_as_set(dim);
1294         return dim;
1295 }
1296
1297 __isl_give isl_space *isl_space_from_domain(__isl_take isl_space *dim)
1298 {
1299         if (!dim)
1300                 return NULL;
1301         if (!isl_space_is_set(dim))
1302                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1303                         "not a set space", goto error);
1304         dim = isl_space_reverse(dim);
1305         dim = isl_space_reset(dim, isl_dim_out);
1306         return dim;
1307 error:
1308         isl_space_free(dim);
1309         return NULL;
1310 }
1311
1312 __isl_give isl_space *isl_space_range(__isl_take isl_space *dim)
1313 {
1314         if (!dim)
1315                 return NULL;
1316         dim = isl_space_drop_inputs(dim, 0, dim->n_in);
1317         dim = mark_as_set(dim);
1318         return dim;
1319 }
1320
1321 __isl_give isl_space *isl_space_from_range(__isl_take isl_space *dim)
1322 {
1323         if (!dim)
1324                 return NULL;
1325         if (!isl_space_is_set(dim))
1326                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1327                         "not a set space", goto error);
1328         return isl_space_reset(dim, isl_dim_in);
1329 error:
1330         isl_space_free(dim);
1331         return NULL;
1332 }
1333
1334 __isl_give isl_space *isl_space_params(__isl_take isl_space *space)
1335 {
1336         if (isl_space_is_params(space))
1337                 return space;
1338         space = isl_space_drop_dims(space,
1339                             isl_dim_in, 0, isl_space_dim(space, isl_dim_in));
1340         space = isl_space_drop_dims(space,
1341                             isl_dim_out, 0, isl_space_dim(space, isl_dim_out));
1342         space = mark_as_params(space);
1343         return space;
1344 }
1345
1346 __isl_give isl_space *isl_space_set_from_params(__isl_take isl_space *space)
1347 {
1348         if (!space)
1349                 return NULL;
1350         if (!isl_space_is_params(space))
1351                 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1352                         "not a parameter space", goto error);
1353         return isl_space_reset(space, isl_dim_set);
1354 error:
1355         isl_space_free(space);
1356         return NULL;
1357 }
1358
1359 __isl_give isl_space *isl_space_as_set_space(__isl_take isl_space *dim)
1360 {
1361         dim = isl_space_cow(dim);
1362         if (!dim)
1363                 return NULL;
1364
1365         dim->n_out += dim->n_in;
1366         dim->n_in = 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 __isl_give isl_space *isl_space_underlying(__isl_take isl_space *dim,
1374         unsigned n_div)
1375 {
1376         int i;
1377
1378         if (!dim)
1379                 return NULL;
1380         if (n_div == 0 &&
1381             dim->nparam == 0 && dim->n_in == 0 && dim->n_id == 0)
1382                 return isl_space_reset(isl_space_reset(dim, isl_dim_in), isl_dim_out);
1383         dim = isl_space_cow(dim);
1384         if (!dim)
1385                 return NULL;
1386         dim->n_out += dim->nparam + dim->n_in + n_div;
1387         dim->nparam = 0;
1388         dim->n_in = 0;
1389
1390         for (i = 0; i < dim->n_id; ++i)
1391                 isl_id_free(get_id(dim, isl_dim_out, i));
1392         dim->n_id = 0;
1393         dim = isl_space_reset(dim, isl_dim_in);
1394         dim = isl_space_reset(dim, isl_dim_out);
1395
1396         return dim;
1397 }
1398
1399 int isl_space_is_equal(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1400 {
1401         if (!dim1 || !dim2)
1402                 return -1;
1403         if (dim1 == dim2)
1404                 return 1;
1405         return match(dim1, isl_dim_param, dim2, isl_dim_param) &&
1406                isl_space_tuple_match(dim1, isl_dim_in, dim2, isl_dim_in) &&
1407                isl_space_tuple_match(dim1, isl_dim_out, dim2, isl_dim_out);
1408 }
1409
1410 /* Is space1 equal to the domain of space2?
1411  */
1412 int isl_space_is_domain(__isl_keep isl_space *space1,
1413         __isl_keep isl_space *space2)
1414 {
1415         if (!space1 || !space2)
1416                 return -1;
1417         if (!isl_space_is_set(space1))
1418                 return 0;
1419         return match(space1, isl_dim_param, space2, isl_dim_param) &&
1420                isl_space_tuple_match(space1, isl_dim_set, space2, isl_dim_in);
1421 }
1422
1423 int isl_space_compatible(__isl_keep isl_space *dim1,
1424         __isl_keep isl_space *dim2)
1425 {
1426         return dim1->nparam == dim2->nparam &&
1427                dim1->n_in + dim1->n_out == dim2->n_in + dim2->n_out;
1428 }
1429
1430 static uint32_t isl_hash_dim(uint32_t hash, __isl_keep isl_space *dim)
1431 {
1432         int i;
1433         isl_id *id;
1434
1435         if (!dim)
1436                 return hash;
1437
1438         hash = isl_hash_builtin(hash, dim->nparam);
1439         hash = isl_hash_builtin(hash, dim->n_in);
1440         hash = isl_hash_builtin(hash, dim->n_out);
1441
1442         for (i = 0; i < dim->nparam; ++i) {
1443                 id = get_id(dim, isl_dim_param, i);
1444                 hash = isl_hash_id(hash, id);
1445         }
1446
1447         id = tuple_id(dim, isl_dim_in);
1448         hash = isl_hash_id(hash, id);
1449         id = tuple_id(dim, isl_dim_out);
1450         hash = isl_hash_id(hash, id);
1451
1452         hash = isl_hash_dim(hash, dim->nested[0]);
1453         hash = isl_hash_dim(hash, dim->nested[1]);
1454
1455         return hash;
1456 }
1457
1458 uint32_t isl_space_get_hash(__isl_keep isl_space *dim)
1459 {
1460         uint32_t hash;
1461
1462         if (!dim)
1463                 return 0;
1464
1465         hash = isl_hash_init();
1466         hash = isl_hash_dim(hash, dim);
1467
1468         return hash;
1469 }
1470
1471 int isl_space_is_wrapping(__isl_keep isl_space *dim)
1472 {
1473         if (!dim)
1474                 return -1;
1475
1476         if (!isl_space_is_set(dim))
1477                 return 0;
1478
1479         return dim->nested[1] != NULL;
1480 }
1481
1482 __isl_give isl_space *isl_space_wrap(__isl_take isl_space *dim)
1483 {
1484         isl_space *wrap;
1485
1486         if (!dim)
1487                 return NULL;
1488
1489         wrap = isl_space_set_alloc(dim->ctx,
1490                                     dim->nparam, dim->n_in + dim->n_out);
1491
1492         wrap = copy_ids(wrap, isl_dim_param, 0, dim, isl_dim_param);
1493         wrap = copy_ids(wrap, isl_dim_set, 0, dim, isl_dim_in);
1494         wrap = copy_ids(wrap, isl_dim_set, dim->n_in, dim, isl_dim_out);
1495
1496         if (!wrap)
1497                 goto error;
1498
1499         wrap->nested[1] = dim;
1500
1501         return wrap;
1502 error:
1503         isl_space_free(dim);
1504         return NULL;
1505 }
1506
1507 __isl_give isl_space *isl_space_unwrap(__isl_take isl_space *dim)
1508 {
1509         isl_space *unwrap;
1510
1511         if (!dim)
1512                 return NULL;
1513
1514         if (!isl_space_is_wrapping(dim))
1515                 isl_die(dim->ctx, isl_error_invalid, "not a wrapping dim",
1516                         goto error);
1517
1518         unwrap = isl_space_copy(dim->nested[1]);
1519         isl_space_free(dim);
1520
1521         return unwrap;
1522 error:
1523         isl_space_free(dim);
1524         return NULL;
1525 }
1526
1527 int isl_space_is_named_or_nested(__isl_keep isl_space *dim, enum isl_dim_type type)
1528 {
1529         if (type != isl_dim_in && type != isl_dim_out)
1530                 return 0;
1531         if (!dim)
1532                 return -1;
1533         if (dim->tuple_id[type - isl_dim_in])
1534                 return 1;
1535         if (dim->nested[type - isl_dim_in])
1536                 return 1;
1537         return 0;
1538 }
1539
1540 int isl_space_may_be_set(__isl_keep isl_space *dim)
1541 {
1542         if (!dim)
1543                 return -1;
1544         if (isl_space_is_set(dim))
1545                 return 1;
1546         if (isl_space_dim(dim, isl_dim_in) != 0)
1547                 return 0;
1548         if (isl_space_is_named_or_nested(dim, isl_dim_in))
1549                 return 0;
1550         return 1;
1551 }
1552
1553 __isl_give isl_space *isl_space_reset(__isl_take isl_space *dim,
1554         enum isl_dim_type type)
1555 {
1556         if (!isl_space_is_named_or_nested(dim, type))
1557                 return dim;
1558
1559         dim = isl_space_cow(dim);
1560         if (!dim)
1561                 return NULL;
1562
1563         isl_id_free(dim->tuple_id[type - isl_dim_in]);
1564         dim->tuple_id[type - isl_dim_in] = NULL;
1565         isl_space_free(dim->nested[type - isl_dim_in]);
1566         dim->nested[type - isl_dim_in] = NULL;
1567
1568         return dim;
1569 }
1570
1571 __isl_give isl_space *isl_space_flatten(__isl_take isl_space *dim)
1572 {
1573         if (!dim)
1574                 return NULL;
1575         if (!dim->nested[0] && !dim->nested[1])
1576                 return dim;
1577
1578         if (dim->nested[0])
1579                 dim = isl_space_reset(dim, isl_dim_in);
1580         if (dim && dim->nested[1])
1581                 dim = isl_space_reset(dim, isl_dim_out);
1582
1583         return dim;
1584 }
1585
1586 __isl_give isl_space *isl_space_flatten_domain(__isl_take isl_space *dim)
1587 {
1588         if (!dim)
1589                 return NULL;
1590         if (!dim->nested[0])
1591                 return dim;
1592
1593         return isl_space_reset(dim, isl_dim_in);
1594 }
1595
1596 __isl_give isl_space *isl_space_flatten_range(__isl_take isl_space *dim)
1597 {
1598         if (!dim)
1599                 return NULL;
1600         if (!dim->nested[1])
1601                 return dim;
1602
1603         return isl_space_reset(dim, isl_dim_out);
1604 }
1605
1606 /* Replace the dimensions of the given type of dst by those of src.
1607  */
1608 __isl_give isl_space *isl_space_replace(__isl_take isl_space *dst,
1609         enum isl_dim_type type, __isl_keep isl_space *src)
1610 {
1611         dst = isl_space_cow(dst);
1612
1613         if (!dst || !src)
1614                 goto error;
1615
1616         dst = isl_space_drop_dims(dst, type, 0, isl_space_dim(dst, type));
1617         dst = isl_space_add_dims(dst, type, isl_space_dim(src, type));
1618         dst = copy_ids(dst, type, 0, src, type);
1619
1620         if (dst && type == isl_dim_param) {
1621                 int i;
1622                 for (i = 0; i <= 1; ++i) {
1623                         if (!dst->nested[i])
1624                                 continue;
1625                         dst->nested[i] = isl_space_replace(dst->nested[i],
1626                                                          type, src);
1627                         if (!dst->nested[i])
1628                                 goto error;
1629                 }
1630         }
1631
1632         return dst;
1633 error:
1634         isl_space_free(dst);
1635         return NULL;
1636 }
1637
1638 /* Given a dimension specification "dim" of a set, create a dimension
1639  * specification for the lift of the set.  In particular, the result
1640  * is of the form [dim -> local[..]], with n_local variables in the
1641  * range of the wrapped map.
1642  */
1643 __isl_give isl_space *isl_space_lift(__isl_take isl_space *dim, unsigned n_local)
1644 {
1645         isl_space *local_dim;
1646
1647         if (!dim)
1648                 return NULL;
1649
1650         local_dim = isl_space_dup(dim);
1651         local_dim = isl_space_drop_dims(local_dim, isl_dim_set, 0, dim->n_out);
1652         local_dim = isl_space_add_dims(local_dim, isl_dim_set, n_local);
1653         local_dim = isl_space_set_tuple_name(local_dim, isl_dim_set, "local");
1654         dim = isl_space_join(isl_space_from_domain(dim),
1655                             isl_space_from_range(local_dim));
1656         dim = isl_space_wrap(dim);
1657         dim = isl_space_set_tuple_name(dim, isl_dim_set, "lifted");
1658
1659         return dim;
1660 }
1661
1662 int isl_space_can_zip(__isl_keep isl_space *dim)
1663 {
1664         if (!dim)
1665                 return -1;
1666
1667         return dim->nested[0] && dim->nested[1];
1668 }
1669
1670 __isl_give isl_space *isl_space_zip(__isl_take isl_space *dim)
1671 {
1672         isl_space *dom, *ran;
1673         isl_space *dom_dom, *dom_ran, *ran_dom, *ran_ran;
1674
1675         if (!isl_space_can_zip(dim))
1676                 isl_die(dim->ctx, isl_error_invalid, "dim cannot be zipped",
1677                         goto error);
1678
1679         if (!dim)
1680                 return NULL;
1681         dom = isl_space_unwrap(isl_space_domain(isl_space_copy(dim)));
1682         ran = isl_space_unwrap(isl_space_range(dim));
1683         dom_dom = isl_space_domain(isl_space_copy(dom));
1684         dom_ran = isl_space_range(dom);
1685         ran_dom = isl_space_domain(isl_space_copy(ran));
1686         ran_ran = isl_space_range(ran);
1687         dom = isl_space_join(isl_space_from_domain(dom_dom),
1688                            isl_space_from_range(ran_dom));
1689         ran = isl_space_join(isl_space_from_domain(dom_ran),
1690                            isl_space_from_range(ran_ran));
1691         return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
1692                             isl_space_from_range(isl_space_wrap(ran)));
1693 error:
1694         isl_space_free(dim);
1695         return NULL;
1696 }
1697
1698 /* Can we apply isl_space_curry to "space"?
1699  * That is, does it have a nested relation in its domain?
1700  */
1701 int isl_space_can_curry(__isl_keep isl_space *space)
1702 {
1703         if (!space)
1704                 return -1;
1705
1706         return !!space->nested[0];
1707 }
1708
1709 /* Given a space (A -> B) -> C, return the corresponding space
1710  * A -> (B -> C).
1711  */
1712 __isl_give isl_space *isl_space_curry(__isl_take isl_space *space)
1713 {
1714         isl_space *dom, *ran;
1715         isl_space *dom_dom, *dom_ran;
1716
1717         if (!space)
1718                 return NULL;
1719
1720         if (!isl_space_can_curry(space))
1721                 isl_die(space->ctx, isl_error_invalid,
1722                         "space cannot be curried", goto error);
1723
1724         dom = isl_space_unwrap(isl_space_domain(isl_space_copy(space)));
1725         ran = isl_space_range(space);
1726         dom_dom = isl_space_domain(isl_space_copy(dom));
1727         dom_ran = isl_space_range(dom);
1728         ran = isl_space_join(isl_space_from_domain(dom_ran),
1729                            isl_space_from_range(ran));
1730         return isl_space_join(isl_space_from_domain(dom_dom),
1731                             isl_space_from_range(isl_space_wrap(ran)));
1732 error:
1733         isl_space_free(space);
1734         return NULL;
1735 }
1736
1737 int isl_space_has_named_params(__isl_keep isl_space *dim)
1738 {
1739         int i;
1740         unsigned off;
1741
1742         if (!dim)
1743                 return -1;
1744         if (dim->nparam == 0)
1745                 return 1;
1746         off = isl_space_offset(dim, isl_dim_param);
1747         if (off + dim->nparam > dim->n_id)
1748                 return 0;
1749         for (i = 0; i < dim->nparam; ++i)
1750                 if (!dim->ids[off + i])
1751                         return 0;
1752         return 1;
1753 }
1754
1755 /* Align the initial parameters of dim1 to match the order in dim2.
1756  */
1757 __isl_give isl_space *isl_space_align_params(__isl_take isl_space *dim1,
1758         __isl_take isl_space *dim2)
1759 {
1760         isl_reordering *exp;
1761
1762         if (!isl_space_has_named_params(dim1) || !isl_space_has_named_params(dim2))
1763                 isl_die(isl_space_get_ctx(dim1), isl_error_invalid,
1764                         "parameter alignment requires named parameters",
1765                         goto error);
1766
1767         dim2 = isl_space_params(dim2);
1768         exp = isl_parameter_alignment_reordering(dim1, dim2);
1769         exp = isl_reordering_extend_space(exp, dim1);
1770         isl_space_free(dim2);
1771         if (!exp)
1772                 return NULL;
1773         dim1 = isl_space_copy(exp->dim);
1774         isl_reordering_free(exp);
1775         return dim1;
1776 error:
1777         isl_space_free(dim1);
1778         isl_space_free(dim2);
1779         return NULL;
1780 }
1781
1782 /* Given the space of set (domain), construct a space for a map
1783  * with as domain the given space and as range the range of "model".
1784  */
1785 __isl_give isl_space *isl_space_extend_domain_with_range(
1786         __isl_take isl_space *domain, __isl_take isl_space *model)
1787 {
1788         isl_space *space;
1789
1790         space = isl_space_from_domain(domain);
1791         space = isl_space_add_dims(space, isl_dim_out,
1792                                     isl_space_dim(model, isl_dim_out));
1793         if (isl_space_has_tuple_id(model, isl_dim_out))
1794                 space = isl_space_set_tuple_id(space, isl_dim_out,
1795                                 isl_space_get_tuple_id(model, isl_dim_out));
1796         isl_space_free(model);
1797         return space;
1798 }