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