isl_space.c

   1 /*
   2  * Copyright 2008-2009 Katholieke Universiteit Leuven
   3  * Copyright 2010      INRIA Saclay
   4  *
   5  * Use of this software is governed by the GNU LGPLv2.1 license
   6  *
   7  * Written by Sven Verdoolaege, K.U.Leuven, Departement
   8  * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
   9  * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
  10  * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
  11  */
  12
  13 #include <stdlib.h>
  14 #include <isl_space_private.h>
  15 #include <isl_id_private.h>
  16 #include <isl_reordering.h>
  17
  18 isl_ctx *isl_space_get_ctx(__isl_keep isl_space *dim)
  19 {
  20         return dim ? dim->ctx : NULL;
  21 }
  22
  23 __isl_give isl_space *isl_space_alloc(isl_ctx *ctx,
  24                         unsigned nparam, unsigned n_in, unsigned n_out)
  25 {
  26         isl_space *dim;
  27
  28         dim = isl_alloc_type(ctx, struct isl_space);
  29         if (!dim)
  30                 return NULL;
  31
  32         dim->ctx = ctx;
  33         isl_ctx_ref(ctx);
  34         dim->ref = 1;
  35         dim->nparam = nparam;
  36         dim->n_in = n_in;
  37         dim->n_out = n_out;
  38
  39         dim->tuple_id[0] = NULL;
  40         dim->tuple_id[1] = NULL;
  41
  42         dim->nested[0] = NULL;
  43         dim->nested[1] = NULL;
  44
  45         dim->n_id = 0;
  46         dim->ids = NULL;
  47
  48         return dim;
  49 }
  50
  51 /* Mark the space as being that of a set, by setting the domain tuple
  52  * to isl_id_none.
  53  */
  54 static __isl_give isl_space *mark_as_set(__isl_take isl_space *space)
  55 {
  56         space = isl_space_cow(space);
  57         if (!space)
  58                 return NULL;
  59         space = isl_space_set_tuple_id(space, isl_dim_in, &isl_id_none);
  60         return space;
  61 }
  62
  63 /* Is the space that of a set?
  64  */
  65 int isl_space_is_set(__isl_keep isl_space *space)
  66 {
  67         if (!space)
  68                 return -1;
  69         if (space->n_in != 0 || space->nested[0])
  70                 return 0;
  71         if (space->tuple_id[0] != &isl_id_none)
  72                 return 0;
  73         return 1;
  74 }
  75
  76 __isl_give isl_space *isl_space_set_alloc(isl_ctx *ctx,
  77                         unsigned nparam, unsigned dim)
  78 {
  79         isl_space *space;
  80         space = isl_space_alloc(ctx, nparam, 0, dim);
  81         space = mark_as_set(space);
  82         return space;
  83 }
  84
  85 /* Mark the space as being that of a parameter domain, by setting
  86  * both tuples to isl_id_none.
  87  */
  88 static __isl_give isl_space *mark_as_params(isl_space *space)
  89 {
  90         if (!space)
  91                 return NULL;
  92         space = isl_space_set_tuple_id(space, isl_dim_in, &isl_id_none);
  93         space = isl_space_set_tuple_id(space, isl_dim_out, &isl_id_none);
  94         return space;
  95 }
  96
  97 /* Is the space that of a parameter domain?
  98  */
  99 int isl_space_is_params(__isl_keep isl_space *space)
 100 {
 101         if (!space)
 102                 return -1;
 103         if (space->n_in != 0 || space->nested[0] ||
 104             space->n_out != 0 || space->nested[1])
 105                 return 0;
 106         if (space->tuple_id[0] != &isl_id_none)
 107                 return 0;
 108         if (space->tuple_id[1] != &isl_id_none)
 109                 return 0;
 110         return 1;
 111 }
 112
 113 /* Create a space for a parameter domain.
 114  */
 115 __isl_give isl_space *isl_space_params_alloc(isl_ctx *ctx, unsigned nparam)
 116 {
 117         isl_space *space;
 118         space = isl_space_alloc(ctx, nparam, 0, 0);
 119         space = mark_as_params(space);
 120         return space;
 121 }
 122
 123 static unsigned global_pos(__isl_keep isl_space *dim,
 124                                  enum isl_dim_type type, unsigned pos)
 125 {
 126         struct isl_ctx *ctx = dim->ctx;
 127
 128         switch (type) {
 129         case isl_dim_param:
 130                 isl_assert(ctx, pos < dim->nparam,
 131                             return isl_space_dim(dim, isl_dim_all));
 132                 return pos;
 133         case isl_dim_in:
 134                 isl_assert(ctx, pos < dim->n_in,
 135                             return isl_space_dim(dim, isl_dim_all));
 136                 return pos + dim->nparam;
 137         case isl_dim_out:
 138                 isl_assert(ctx, pos < dim->n_out,
 139                             return isl_space_dim(dim, isl_dim_all));
 140                 return pos + dim->nparam + dim->n_in;
 141         default:
 142                 isl_assert(ctx, 0, return isl_space_dim(dim, isl_dim_all));
 143         }
 144         return isl_space_dim(dim, isl_dim_all);
 145 }
 146
 147 /* Extend length of ids array to the total number of dimensions.
 148  */
 149 static __isl_give isl_space *extend_ids(__isl_take isl_space *dim)
 150 {
 151         isl_id **ids;
 152         int i;
 153
 154         if (isl_space_dim(dim, isl_dim_all) <= dim->n_id)
 155                 return dim;
 156
 157         if (!dim->ids) {
 158                 dim->ids = isl_calloc_array(dim->ctx,
 159                                 isl_id *, isl_space_dim(dim, isl_dim_all));
 160                 if (!dim->ids)
 161                         goto error;
 162         } else {
 163                 ids = isl_realloc_array(dim->ctx, dim->ids,
 164                                 isl_id *, isl_space_dim(dim, isl_dim_all));
 165                 if (!ids)
 166                         goto error;
 167                 dim->ids = ids;
 168                 for (i = dim->n_id; i < isl_space_dim(dim, isl_dim_all); ++i)
 169                         dim->ids[i] = NULL;
 170         }
 171
 172         dim->n_id = isl_space_dim(dim, isl_dim_all);
 173
 174         return dim;
 175 error:
 176         isl_space_free(dim);
 177         return NULL;
 178 }
 179
 180 static __isl_give isl_space *set_id(__isl_take isl_space *dim,
 181         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
 182 {
 183         dim = isl_space_cow(dim);
 184
 185         if (!dim)
 186                 goto error;
 187
 188         pos = global_pos(dim, type, pos);
 189         if (pos == isl_space_dim(dim, isl_dim_all))
 190                 goto error;
 191
 192         if (pos >= dim->n_id) {
 193                 if (!id)
 194                         return dim;
 195                 dim = extend_ids(dim);
 196                 if (!dim)
 197                         goto error;
 198         }
 199
 200         dim->ids[pos] = id;
 201
 202         return dim;
 203 error:
 204         isl_id_free(id);
 205         isl_space_free(dim);
 206         return NULL;
 207 }
 208
 209 static __isl_keep isl_id *get_id(__isl_keep isl_space *dim,
 210                                  enum isl_dim_type type, unsigned pos)
 211 {
 212         if (!dim)
 213                 return NULL;
 214
 215         pos = global_pos(dim, type, pos);
 216         if (pos == isl_space_dim(dim, isl_dim_all))
 217                 return NULL;
 218         if (pos >= dim->n_id)
 219                 return NULL;
 220         return dim->ids[pos];
 221 }
 222
 223 static unsigned offset(__isl_keep isl_space *dim, enum isl_dim_type type)
 224 {
 225         switch (type) {
 226         case isl_dim_param:     return 0;
 227         case isl_dim_in:        return dim->nparam;
 228         case isl_dim_out:       return dim->nparam + dim->n_in;
 229         default:                return 0;
 230         }
 231 }
 232
 233 static unsigned n(__isl_keep isl_space *dim, enum isl_dim_type type)
 234 {
 235         switch (type) {
 236         case isl_dim_param:     return dim->nparam;
 237         case isl_dim_in:        return dim->n_in;
 238         case isl_dim_out:       return dim->n_out;
 239         case isl_dim_all:       return dim->nparam + dim->n_in + dim->n_out;
 240         default:                return 0;
 241         }
 242 }
 243
 244 unsigned isl_space_dim(__isl_keep isl_space *dim, enum isl_dim_type type)
 245 {
 246         if (!dim)
 247                 return 0;
 248         return n(dim, type);
 249 }
 250
 251 unsigned isl_space_offset(__isl_keep isl_space *dim, enum isl_dim_type type)
 252 {
 253         if (!dim)
 254                 return 0;
 255         return offset(dim, type);
 256 }
 257
 258 static __isl_give isl_space *copy_ids(__isl_take isl_space *dst,
 259         enum isl_dim_type dst_type, unsigned offset, __isl_keep isl_space *src,
 260         enum isl_dim_type src_type)
 261 {
 262         int i;
 263         isl_id *id;
 264
 265         if (!dst)
 266                 return NULL;
 267
 268         for (i = 0; i < n(src, src_type); ++i) {
 269                 id = get_id(src, src_type, i);
 270                 if (!id)
 271                         continue;
 272                 dst = set_id(dst, dst_type, offset + i, isl_id_copy(id));
 273                 if (!dst)
 274                         return NULL;
 275         }
 276         return dst;
 277 }
 278
 279 __isl_take isl_space *isl_space_dup(__isl_keep isl_space *dim)
 280 {
 281         isl_space *dup;
 282         if (!dim)
 283                 return NULL;
 284         dup = isl_space_alloc(dim->ctx, dim->nparam, dim->n_in, dim->n_out);
 285         if (dim->tuple_id[0] &&
 286             !(dup->tuple_id[0] = isl_id_copy(dim->tuple_id[0])))
 287                 goto error;
 288         if (dim->tuple_id[1] &&
 289             !(dup->tuple_id[1] = isl_id_copy(dim->tuple_id[1])))
 290                 goto error;
 291         if (dim->nested[0] && !(dup->nested[0] = isl_space_copy(dim->nested[0])))
 292                 goto error;
 293         if (dim->nested[1] && !(dup->nested[1] = isl_space_copy(dim->nested[1])))
 294                 goto error;
 295         if (!dim->ids)
 296                 return dup;
 297         dup = copy_ids(dup, isl_dim_param, 0, dim, isl_dim_param);
 298         dup = copy_ids(dup, isl_dim_in, 0, dim, isl_dim_in);
 299         dup = copy_ids(dup, isl_dim_out, 0, dim, isl_dim_out);
 300         return dup;
 301 error:
 302         isl_space_free(dup);
 303         return NULL;
 304 }
 305
 306 __isl_give isl_space *isl_space_cow(__isl_take isl_space *dim)
 307 {
 308         if (!dim)
 309                 return NULL;
 310
 311         if (dim->ref == 1)
 312                 return dim;
 313         dim->ref--;
 314         return isl_space_dup(dim);
 315 }
 316
 317 __isl_give isl_space *isl_space_copy(__isl_keep isl_space *dim)
 318 {
 319         if (!dim)
 320                 return NULL;
 321
 322         dim->ref++;
 323         return dim;
 324 }
 325
 326 void isl_space_free(__isl_take isl_space *dim)
 327 {
 328         int i;
 329
 330         if (!dim)
 331                 return;
 332
 333         if (--dim->ref > 0)
 334                 return;
 335
 336         isl_id_free(dim->tuple_id[0]);
 337         isl_id_free(dim->tuple_id[1]);
 338
 339         isl_space_free(dim->nested[0]);
 340         isl_space_free(dim->nested[1]);
 341
 342         for (i = 0; i < dim->n_id; ++i)
 343                 isl_id_free(dim->ids[i]);
 344         free(dim->ids);
 345         isl_ctx_deref(dim->ctx);
 346
 347         free(dim);
 348 }
 349
 350 static int name_ok(isl_ctx *ctx, const char *s)
 351 {
 352         char *p;
 353         long dummy;
 354
 355         dummy = strtol(s, &p, 0);
 356         if (p != s)
 357                 isl_die(ctx, isl_error_invalid, "name looks like a number",
 358                         return 0);
 359
 360         return 1;
 361 }
 362
 363 int isl_space_has_tuple_id(__isl_keep isl_space *dim, enum isl_dim_type type)
 364 {
 365         if (!dim)
 366                 return -1;
 367         if (isl_space_is_params(dim))
 368                 isl_die(dim->ctx, isl_error_invalid,
 369                         "parameter spaces don't have tuple ids", return -1);
 370         if (isl_space_is_set(dim) && type != isl_dim_set)
 371                 isl_die(dim->ctx, isl_error_invalid,
 372                         "set spaces can only have a set id", return -1);
 373         if (type != isl_dim_in && type != isl_dim_out)
 374                 isl_die(dim->ctx, isl_error_invalid,
 375                         "only input, output and set tuples can have ids",
 376                         return -1);
 377         return dim->tuple_id[type - isl_dim_in] != NULL;
 378 }
 379
 380 __isl_give isl_id *isl_space_get_tuple_id(__isl_keep isl_space *dim,
 381         enum isl_dim_type type)
 382 {
 383         int has_id;
 384
 385         if (!dim)
 386                 return NULL;
 387         has_id = isl_space_has_tuple_id(dim, type);
 388         if (has_id < 0)
 389                 return NULL;
 390         if (!has_id)
 391                 isl_die(dim->ctx, isl_error_invalid,
 392                         "tuple has no id", return NULL);
 393         return isl_id_copy(dim->tuple_id[type - isl_dim_in]);
 394 }
 395
 396 __isl_give isl_space *isl_space_set_tuple_id(__isl_take isl_space *dim,
 397         enum isl_dim_type type, __isl_take isl_id *id)
 398 {
 399         dim = isl_space_cow(dim);
 400         if (!dim || !id)
 401                 goto error;
 402         if (type != isl_dim_in && type != isl_dim_out)
 403                 isl_die(dim->ctx, isl_error_invalid,
 404                         "only input, output and set tuples can have names",
 405                         goto error);
 406
 407         isl_id_free(dim->tuple_id[type - isl_dim_in]);
 408         dim->tuple_id[type - isl_dim_in] = id;
 409
 410         return dim;
 411 error:
 412         isl_id_free(id);
 413         isl_space_free(dim);
 414         return NULL;
 415 }
 416
 417 __isl_give isl_space *isl_space_reset_tuple_id(__isl_take isl_space *dim,
 418         enum isl_dim_type type)
 419 {
 420         dim = isl_space_cow(dim);
 421         if (!dim)
 422                 return NULL;
 423         if (type != isl_dim_in && type != isl_dim_out)
 424                 isl_die(dim->ctx, isl_error_invalid,
 425                         "only input, output and set tuples can have names",
 426                         goto error);
 427
 428         isl_id_free(dim->tuple_id[type - isl_dim_in]);
 429         dim->tuple_id[type - isl_dim_in] = NULL;
 430
 431         return dim;
 432 error:
 433         isl_space_free(dim);
 434         return NULL;
 435 }
 436
 437 /* Set the id of the given dimension of "space" to "id".
 438  * If the dimension already has an id, then it is replaced.
 439  * If the dimension is a parameter, then we need to change it
 440  * in the nested spaces (if any) as well.
 441  */
 442 __isl_give isl_space *isl_space_set_dim_id(__isl_take isl_space *space,
 443         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
 444 {
 445         space = isl_space_cow(space);
 446         if (!space || !id)
 447                 goto error;
 448
 449         if (type == isl_dim_param) {
 450                 int i;
 451
 452                 for (i = 0; i < 2; ++i) {
 453                         if (!space->nested[i])
 454                                 continue;
 455                         space->nested[i] =
 456                                 isl_space_set_dim_id(space->nested[i],
 457                                                 type, pos, isl_id_copy(id));
 458                         if (!space->nested[i])
 459                                 goto error;
 460                 }
 461         }
 462
 463         isl_id_free(get_id(space, type, pos));
 464         return set_id(space, type, pos, id);
 465 error:
 466         isl_id_free(id);
 467         isl_space_free(space);
 468         return NULL;
 469 }
 470
 471 /* Reset the id of the given dimension of "space".
 472  * If the dimension already has an id, then it is removed.
 473  * If the dimension is a parameter, then we need to reset it
 474  * in the nested spaces (if any) as well.
 475  */
 476 __isl_give isl_space *isl_space_reset_dim_id(__isl_take isl_space *space,
 477         enum isl_dim_type type, unsigned pos)
 478 {
 479         space = isl_space_cow(space);
 480         if (!space)
 481                 goto error;
 482
 483         if (type == isl_dim_param) {
 484                 int i;
 485
 486                 for (i = 0; i < 2; ++i) {
 487                         if (!space->nested[i])
 488                                 continue;
 489                         space->nested[i] =
 490                                 isl_space_reset_dim_id(space->nested[i],
 491                                                         type, pos);
 492                         if (!space->nested[i])
 493                                 goto error;
 494                 }
 495         }
 496
 497         isl_id_free(get_id(space, type, pos));
 498         return set_id(space, type, pos, NULL);
 499 error:
 500         isl_space_free(space);
 501         return NULL;
 502 }
 503
 504 int isl_space_has_dim_id(__isl_keep isl_space *dim,
 505         enum isl_dim_type type, unsigned pos)
 506 {
 507         if (!dim)
 508                 return -1;
 509         return get_id(dim, type, pos) != NULL;
 510 }
 511
 512 __isl_give isl_id *isl_space_get_dim_id(__isl_keep isl_space *dim,
 513         enum isl_dim_type type, unsigned pos)
 514 {
 515         if (!dim)
 516                 return NULL;
 517         if (!get_id(dim, type, pos))
 518                 isl_die(dim->ctx, isl_error_invalid,
 519                         "dim has no id", return NULL);
 520         return isl_id_copy(get_id(dim, type, pos));
 521 }
 522
 523 __isl_give isl_space *isl_space_set_tuple_name(__isl_take isl_space *dim,
 524         enum isl_dim_type type, const char *s)
 525 {
 526         isl_id *id;
 527
 528         if (!dim)
 529                 return NULL;
 530
 531         if (!s)
 532                 return isl_space_reset_tuple_id(dim, type);
 533
 534         if (!name_ok(dim->ctx, s))
 535                 goto error;
 536
 537         id = isl_id_alloc(dim->ctx, s, NULL);
 538         return isl_space_set_tuple_id(dim, type, id);
 539 error:
 540         isl_space_free(dim);
 541         return NULL;
 542 }
 543
 544 const char *isl_space_get_tuple_name(__isl_keep isl_space *dim,
 545          enum isl_dim_type type)
 546 {
 547         isl_id *id;
 548         if (!dim)
 549                 return NULL;
 550         if (type != isl_dim_in && type != isl_dim_out)
 551                 return NULL;
 552         id = dim->tuple_id[type - isl_dim_in];
 553         return id ? id->name : NULL;
 554 }
 555
 556 __isl_give isl_space *isl_space_set_dim_name(__isl_take isl_space *dim,
 557                                  enum isl_dim_type type, unsigned pos,
 558                                  const char *s)
 559 {
 560         isl_id *id;
 561
 562         if (!dim)
 563                 return NULL;
 564         if (!s)
 565                 return isl_space_reset_dim_id(dim, type, pos);
 566         if (!name_ok(dim->ctx, s))
 567                 goto error;
 568         id = isl_id_alloc(dim->ctx, s, NULL);
 569         return isl_space_set_dim_id(dim, type, pos, id);
 570 error:
 571         isl_space_free(dim);
 572         return NULL;
 573 }
 574
 575 __isl_keep const char *isl_space_get_dim_name(__isl_keep isl_space *dim,
 576                                  enum isl_dim_type type, unsigned pos)
 577 {
 578         isl_id *id = get_id(dim, type, pos);
 579         return id ? id->name : NULL;
 580 }
 581
 582 int isl_space_find_dim_by_id(__isl_keep isl_space *dim, enum isl_dim_type type,
 583         __isl_keep isl_id *id)
 584 {
 585         int i;
 586         int offset;
 587         int n;
 588
 589         if (!dim || !id)
 590                 return -1;
 591
 592         offset = isl_space_offset(dim, type);
 593         n = isl_space_dim(dim, type);
 594         for (i = 0; i < n && offset + i < dim->n_id; ++i)
 595                 if (dim->ids[offset + i] == id)
 596                         return i;
 597
 598         return -1;
 599 }
 600
 601 int isl_space_find_dim_by_name(__isl_keep isl_space *space,
 602         enum isl_dim_type type, const char *name)
 603 {
 604         int i;
 605         int offset;
 606         int n;
 607
 608         if (!space || !name)
 609                 return -1;
 610
 611         offset = isl_space_offset(space, type);
 612         n = isl_space_dim(space, type);
 613         for (i = 0; i < n && offset + i < space->n_id; ++i)
 614                 if (space->ids[offset + i]->name &&
 615                     !strcmp(space->ids[offset + i]->name, name))
 616                         return i;
 617
 618         return -1;
 619 }
 620
 621 static __isl_keep isl_id *tuple_id(__isl_keep isl_space *dim,
 622         enum isl_dim_type type)
 623 {
 624         if (!dim)
 625                 return NULL;
 626         if (type == isl_dim_in)
 627                 return dim->tuple_id[0];
 628         if (type == isl_dim_out)
 629                 return dim->tuple_id[1];
 630         return NULL;
 631 }
 632
 633 static __isl_keep isl_space *nested(__isl_keep isl_space *dim,
 634         enum isl_dim_type type)
 635 {
 636         if (!dim)
 637                 return NULL;
 638         if (type == isl_dim_in)
 639                 return dim->nested[0];
 640         if (type == isl_dim_out)
 641                 return dim->nested[1];
 642         return NULL;
 643 }
 644
 645 int isl_space_tuple_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 646                         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 647 {
 648         isl_id *id1, *id2;
 649         isl_space *nested1, *nested2;
 650
 651         if (!dim1 || !dim2)
 652                 return -1;
 653
 654         if (dim1 == dim2 && dim1_type == dim2_type)
 655                 return 1;
 656
 657         if (n(dim1, dim1_type) != n(dim2, dim2_type))
 658                 return 0;
 659         id1 = tuple_id(dim1, dim1_type);
 660         id2 = tuple_id(dim2, dim2_type);
 661         if (!id1 ^ !id2)
 662                 return 0;
 663         if (id1 && id1 != id2)
 664                 return 0;
 665         nested1 = nested(dim1, dim1_type);
 666         nested2 = nested(dim2, dim2_type);
 667         if (!nested1 ^ !nested2)
 668                 return 0;
 669         if (nested1 && !isl_space_is_equal(nested1, nested2))
 670                 return 0;
 671         return 1;
 672 }
 673
 674 static int match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 675         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 676 {
 677         int i;
 678
 679         if (dim1 == dim2 && dim1_type == dim2_type)
 680                 return 1;
 681
 682         if (!isl_space_tuple_match(dim1, dim1_type, dim2, dim2_type))
 683                 return 0;
 684
 685         if (!dim1->ids && !dim2->ids)
 686                 return 1;
 687
 688         for (i = 0; i < n(dim1, dim1_type); ++i) {
 689                 if (get_id(dim1, dim1_type, i) != get_id(dim2, dim2_type, i))
 690                         return 0;
 691         }
 692         return 1;
 693 }
 694
 695 int isl_space_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 696         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 697 {
 698         if (!dim1 || !dim2)
 699                 return -1;
 700
 701         return match(dim1, dim1_type, dim2, dim2_type);
 702 }
 703
 704 static void get_ids(__isl_keep isl_space *dim, enum isl_dim_type type,
 705         unsigned first, unsigned n, __isl_keep isl_id **ids)
 706 {
 707         int i;
 708
 709         for (i = 0; i < n ; ++i)
 710                 ids[i] = get_id(dim, type, first + i);
 711 }
 712
 713 __isl_give isl_space *isl_space_extend(__isl_take isl_space *dim,
 714                         unsigned nparam, unsigned n_in, unsigned n_out)
 715 {
 716         isl_id **ids = NULL;
 717
 718         if (!dim)
 719                 return NULL;
 720         if (dim->nparam == nparam && dim->n_in == n_in && dim->n_out == n_out)
 721                 return dim;
 722
 723         isl_assert(dim->ctx, dim->nparam <= nparam, goto error);
 724         isl_assert(dim->ctx, dim->n_in <= n_in, goto error);
 725         isl_assert(dim->ctx, dim->n_out <= n_out, goto error);
 726
 727         dim = isl_space_cow(dim);
 728
 729         if (dim->ids) {
 730                 ids = isl_calloc_array(dim->ctx, isl_id *,
 731                                          nparam + n_in + n_out);
 732                 if (!ids)
 733                         goto error;
 734                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
 735                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids + nparam);
 736                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + nparam + n_in);
 737                 free(dim->ids);
 738                 dim->ids = ids;
 739                 dim->n_id = nparam + n_in + n_out;
 740         }
 741         dim->nparam = nparam;
 742         dim->n_in = n_in;
 743         dim->n_out = n_out;
 744
 745         return dim;
 746 error:
 747         free(ids);
 748         isl_space_free(dim);
 749         return NULL;
 750 }
 751
 752 __isl_give isl_space *isl_space_add_dims(__isl_take isl_space *dim,
 753         enum isl_dim_type type, unsigned n)
 754 {
 755         if (!dim)
 756                 return NULL;
 757         dim = isl_space_reset(dim, type);
 758         switch (type) {
 759         case isl_dim_param:
 760                 dim = isl_space_extend(dim,
 761                                         dim->nparam + n, dim->n_in, dim->n_out);
 762                 if (dim && dim->nested[0] &&
 763                     !(dim->nested[0] = isl_space_add_dims(dim->nested[0],
 764                                                     isl_dim_param, n)))
 765                         goto error;
 766                 if (dim && dim->nested[1] &&
 767                     !(dim->nested[1] = isl_space_add_dims(dim->nested[1],
 768                                                     isl_dim_param, n)))
 769                         goto error;
 770                 return dim;
 771         case isl_dim_in:
 772                 return isl_space_extend(dim,
 773                                         dim->nparam, dim->n_in + n, dim->n_out);
 774         case isl_dim_out:
 775                 return isl_space_extend(dim,
 776                                         dim->nparam, dim->n_in, dim->n_out + n);
 777         default:
 778                 isl_die(dim->ctx, isl_error_invalid,
 779                         "cannot add dimensions of specified type", goto error);
 780         }
 781 error:
 782         isl_space_free(dim);
 783         return NULL;
 784 }
 785
 786 static int valid_dim_type(enum isl_dim_type type)
 787 {
 788         switch (type) {
 789         case isl_dim_param:
 790         case isl_dim_in:
 791         case isl_dim_out:
 792                 return 1;
 793         default:
 794                 return 0;
 795         }
 796 }
 797
 798 /* Insert "n" dimensions of type "type" at position "pos".
 799  * If we are inserting parameters, then they are also inserted in
 800  * any nested spaces.
 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         if (type == isl_dim_param) {
 860                 if (dim && dim->nested[0] &&
 861                     !(dim->nested[0] = isl_space_insert_dims(dim->nested[0],
 862                                                     isl_dim_param, pos, n)))
 863                         goto error;
 864                 if (dim && dim->nested[1] &&
 865                     !(dim->nested[1] = isl_space_insert_dims(dim->nested[1],
 866                                                     isl_dim_param, pos, n)))
 867                         goto error;
 868         }
 869
 870         return dim;
 871 error:
 872         isl_space_free(dim);
 873         return NULL;
 874 }
 875
 876 __isl_give isl_space *isl_space_move_dims(__isl_take isl_space *dim,
 877         enum isl_dim_type dst_type, unsigned dst_pos,
 878         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
 879 {
 880         int i;
 881
 882         if (!dim)
 883                 return NULL;
 884         if (n == 0)
 885                 return dim;
 886
 887         isl_assert(dim->ctx, src_pos + n <= isl_space_dim(dim, src_type),
 888                 goto error);
 889
 890         if (dst_type == src_type && dst_pos == src_pos)
 891                 return dim;
 892
 893         isl_assert(dim->ctx, dst_type != src_type, goto error);
 894
 895         dim = isl_space_reset(dim, src_type);
 896         dim = isl_space_reset(dim, dst_type);
 897
 898         dim = isl_space_cow(dim);
 899         if (!dim)
 900                 return NULL;
 901
 902         if (dim->ids) {
 903                 isl_id **ids;
 904                 enum isl_dim_type t;
 905                 int off;
 906                 int s[3];
 907                 int *size = s - isl_dim_param;
 908                 ids = isl_calloc_array(dim->ctx, isl_id *,
 909                                          dim->nparam + dim->n_in + dim->n_out);
 910                 if (!ids)
 911                         goto error;
 912                 off = 0;
 913                 size[isl_dim_param] = dim->nparam;
 914                 size[isl_dim_in] = dim->n_in;
 915                 size[isl_dim_out] = dim->n_out;
 916                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 917                         if (t == dst_type) {
 918                                 get_ids(dim, t, 0, dst_pos, ids + off);
 919                                 off += dst_pos;
 920                                 get_ids(dim, src_type, src_pos, n, ids + off);
 921                                 off += n;
 922                                 get_ids(dim, t, dst_pos, size[t] - dst_pos,
 923                                                 ids + off);
 924                                 off += size[t] - dst_pos;
 925                         } else if (t == src_type) {
 926                                 get_ids(dim, t, 0, src_pos, ids + off);
 927                                 off += src_pos;
 928                                 get_ids(dim, t, src_pos + n,
 929                                             size[t] - src_pos - n, ids + off);
 930                                 off += size[t] - src_pos - n;
 931                         } else {
 932                                 get_ids(dim, t, 0, size[t], ids + off);
 933                                 off += size[t];
 934                         }
 935                 }
 936                 free(dim->ids);
 937                 dim->ids = ids;
 938                 dim->n_id = dim->nparam + dim->n_in + dim->n_out;
 939         }
 940
 941         switch (dst_type) {
 942         case isl_dim_param:     dim->nparam += n; break;
 943         case isl_dim_in:        dim->n_in += n; break;
 944         case isl_dim_out:       dim->n_out += n; break;
 945         default:                ;
 946         }
 947
 948         switch (src_type) {
 949         case isl_dim_param:     dim->nparam -= n; break;
 950         case isl_dim_in:        dim->n_in -= n; break;
 951         case isl_dim_out:       dim->n_out -= n; break;
 952         default:                ;
 953         }
 954
 955         if (dst_type != isl_dim_param && src_type != isl_dim_param)
 956                 return dim;
 957
 958         for (i = 0; i < 2; ++i) {
 959                 if (!dim->nested[i])
 960                         continue;
 961                 dim->nested[i] = isl_space_replace(dim->nested[i],
 962                                                  isl_dim_param, dim);
 963                 if (!dim->nested[i])
 964                         goto error;
 965         }
 966
 967         return dim;
 968 error:
 969         isl_space_free(dim);
 970         return NULL;
 971 }
 972
 973 __isl_give isl_space *isl_space_join(__isl_take isl_space *left,
 974         __isl_take isl_space *right)
 975 {
 976         isl_space *dim;
 977
 978         if (!left || !right)
 979                 goto error;
 980
 981         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
 982                         goto error);
 983         isl_assert(left->ctx,
 984                 isl_space_tuple_match(left, isl_dim_out, right, isl_dim_in),
 985                 goto error);
 986
 987         dim = isl_space_alloc(left->ctx, left->nparam, left->n_in, right->n_out);
 988         if (!dim)
 989                 goto error;
 990
 991         dim = copy_ids(dim, isl_dim_param, 0, left, isl_dim_param);
 992         dim = copy_ids(dim, isl_dim_in, 0, left, isl_dim_in);
 993         dim = copy_ids(dim, isl_dim_out, 0, right, isl_dim_out);
 994
 995         if (dim && left->tuple_id[0] &&
 996             !(dim->tuple_id[0] = isl_id_copy(left->tuple_id[0])))
 997                 goto error;
 998         if (dim && right->tuple_id[1] &&
 999             !(dim->tuple_id[1] = isl_id_copy(right->tuple_id[1])))
1000                 goto error;
1001         if (dim && left->nested[0] &&
1002             !(dim->nested[0] = isl_space_copy(left->nested[0])))
1003                 goto error;
1004         if (dim && right->nested[1] &&
1005             !(dim->nested[1] = isl_space_copy(right->nested[1])))
1006                 goto error;
1007
1008         isl_space_free(left);
1009         isl_space_free(right);
1010
1011         return dim;
1012 error:
1013         isl_space_free(left);
1014         isl_space_free(right);
1015         return NULL;
1016 }
1017
1018 __isl_give isl_space *isl_space_product(__isl_take isl_space *left,
1019         __isl_take isl_space *right)
1020 {
1021         isl_space *dom1, *dom2, *nest1, *nest2;
1022
1023         if (!left || !right)
1024                 goto error;
1025
1026         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1027                         goto error);
1028
1029         dom1 = isl_space_domain(isl_space_copy(left));
1030         dom2 = isl_space_domain(isl_space_copy(right));
1031         nest1 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1032
1033         dom1 = isl_space_range(left);
1034         dom2 = isl_space_range(right);
1035         nest2 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1036
1037         return isl_space_join(isl_space_reverse(nest1), nest2);
1038 error:
1039         isl_space_free(left);
1040         isl_space_free(right);
1041         return NULL;
1042 }
1043
1044 /* Given two spaces { A -> C } and { B -> C }, construct the space
1045  * { [A -> B] -> C }
1046  */
1047 __isl_give isl_space *isl_space_domain_product(__isl_take isl_space *left,
1048         __isl_take isl_space *right)
1049 {
1050         isl_space *ran, *dom1, *dom2, *nest;
1051
1052         if (!left || !right)
1053                 goto error;
1054
1055         if (!match(left, isl_dim_param, right, isl_dim_param))
1056                 isl_die(left->ctx, isl_error_invalid,
1057                         "parameters need to match", goto error);
1058         if (!isl_space_tuple_match(left, isl_dim_out, right, isl_dim_out))
1059                 isl_die(left->ctx, isl_error_invalid,
1060                         "ranges need to match", goto error);
1061
1062         ran = isl_space_range(isl_space_copy(left));
1063
1064         dom1 = isl_space_domain(left);
1065         dom2 = isl_space_domain(right);
1066         nest = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1067
1068         return isl_space_join(isl_space_reverse(nest), ran);
1069 error:
1070         isl_space_free(left);
1071         isl_space_free(right);
1072         return NULL;
1073 }
1074
1075 __isl_give isl_space *isl_space_range_product(__isl_take isl_space *left,
1076         __isl_take isl_space *right)
1077 {
1078         isl_space *dom, *ran1, *ran2, *nest;
1079
1080         if (!left || !right)
1081                 goto error;
1082
1083         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1084                         goto error);
1085         if (!isl_space_tuple_match(left, isl_dim_in, right, isl_dim_in))
1086                 isl_die(left->ctx, isl_error_invalid,
1087                         "domains need to match", goto error);
1088
1089         dom = isl_space_domain(isl_space_copy(left));
1090
1091         ran1 = isl_space_range(left);
1092         ran2 = isl_space_range(right);
1093         nest = isl_space_wrap(isl_space_join(isl_space_reverse(ran1), ran2));
1094
1095         return isl_space_join(isl_space_reverse(dom), nest);
1096 error:
1097         isl_space_free(left);
1098         isl_space_free(right);
1099         return NULL;
1100 }
1101
1102 __isl_give isl_space *isl_space_map_from_set(__isl_take isl_space *dim)
1103 {
1104         isl_ctx *ctx;
1105         isl_id **ids = NULL;
1106
1107         if (!dim)
1108                 return NULL;
1109         ctx = isl_space_get_ctx(dim);
1110         if (!isl_space_is_set(dim))
1111                 isl_die(ctx, isl_error_invalid, "not a set space", goto error);
1112         dim = isl_space_cow(dim);
1113         if (!dim)
1114                 return NULL;
1115         if (dim->ids) {
1116                 ids = isl_calloc_array(dim->ctx, isl_id *,
1117                                         dim->nparam + dim->n_out + dim->n_out);
1118                 if (!ids)
1119                         goto error;
1120                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
1121                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->nparam);
1122         }
1123         dim->n_in = dim->n_out;
1124         if (ids) {
1125                 free(dim->ids);
1126                 dim->ids = ids;
1127                 dim->n_id = dim->nparam + dim->n_out + dim->n_out;
1128                 dim = copy_ids(dim, isl_dim_out, 0, dim, isl_dim_in);
1129         }
1130         isl_id_free(dim->tuple_id[0]);
1131         dim->tuple_id[0] = isl_id_copy(dim->tuple_id[1]);
1132         isl_space_free(dim->nested[0]);
1133         dim->nested[0] = isl_space_copy(dim->nested[1]);
1134         return dim;
1135 error:
1136         isl_space_free(dim);
1137         return NULL;
1138 }
1139
1140 __isl_give isl_space *isl_space_map_from_domain_and_range(
1141         __isl_take isl_space *domain, __isl_take isl_space *range)
1142 {
1143         if (!domain || !range)
1144                 goto error;
1145         if (!isl_space_is_set(domain))
1146                 isl_die(isl_space_get_ctx(domain), isl_error_invalid,
1147                         "domain is not a set space", goto error);
1148         if (!isl_space_is_set(range))
1149                 isl_die(isl_space_get_ctx(range), isl_error_invalid,
1150                         "range is not a set space", goto error);
1151         return isl_space_join(isl_space_reverse(domain), range);
1152 error:
1153         isl_space_free(domain);
1154         isl_space_free(range);
1155         return NULL;
1156 }
1157
1158 static __isl_give isl_space *set_ids(__isl_take isl_space *dim,
1159         enum isl_dim_type type,
1160         unsigned first, unsigned n, __isl_take isl_id **ids)
1161 {
1162         int i;
1163
1164         for (i = 0; i < n ; ++i)
1165                 dim = set_id(dim, type, first + i, ids[i]);
1166
1167         return dim;
1168 }
1169
1170 __isl_give isl_space *isl_space_reverse(__isl_take isl_space *dim)
1171 {
1172         unsigned t;
1173         isl_space *nested;
1174         isl_id **ids = NULL;
1175         isl_id *id;
1176
1177         if (!dim)
1178                 return NULL;
1179         if (match(dim, isl_dim_in, dim, isl_dim_out))
1180                 return dim;
1181
1182         dim = isl_space_cow(dim);
1183         if (!dim)
1184                 return NULL;
1185
1186         id = dim->tuple_id[0];
1187         dim->tuple_id[0] = dim->tuple_id[1];
1188         dim->tuple_id[1] = id;
1189
1190         nested = dim->nested[0];
1191         dim->nested[0] = dim->nested[1];
1192         dim->nested[1] = nested;
1193
1194         if (dim->ids) {
1195                 ids = isl_alloc_array(dim->ctx, isl_id *,
1196                                         dim->n_in + dim->n_out);
1197                 if (!ids)
1198                         goto error;
1199                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids);
1200                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->n_in);
1201         }
1202
1203         t = dim->n_in;
1204         dim->n_in = dim->n_out;
1205         dim->n_out = t;
1206
1207         if (dim->ids) {
1208                 dim = set_ids(dim, isl_dim_out, 0, dim->n_out, ids);
1209                 dim = set_ids(dim, isl_dim_in, 0, dim->n_in, ids + dim->n_out);
1210                 free(ids);
1211         }
1212
1213         return dim;
1214 error:
1215         free(ids);
1216         isl_space_free(dim);
1217         return NULL;
1218 }
1219
1220 __isl_give isl_space *isl_space_drop_dims(__isl_take isl_space *dim,
1221         enum isl_dim_type type, unsigned first, unsigned num)
1222 {
1223         int i;
1224
1225         if (!dim)
1226                 return NULL;
1227
1228         if (num == 0)
1229                 return isl_space_reset(dim, type);
1230
1231         if (!valid_dim_type(type))
1232                 isl_die(dim->ctx, isl_error_invalid,
1233                         "cannot drop dimensions of specified type", goto error);
1234
1235         isl_assert(dim->ctx, first + num <= n(dim, type), goto error);
1236         dim = isl_space_cow(dim);
1237         if (!dim)
1238                 goto error;
1239         if (dim->ids) {
1240                 dim = extend_ids(dim);
1241                 if (!dim)
1242                         goto error;
1243                 for (i = 0; i < num; ++i)
1244                         isl_id_free(get_id(dim, type, first + i));
1245                 for (i = first+num; i < n(dim, type); ++i)
1246                         set_id(dim, type, i - num, get_id(dim, type, i));
1247                 switch (type) {
1248                 case isl_dim_param:
1249                         get_ids(dim, isl_dim_in, 0, dim->n_in,
1250                                 dim->ids + offset(dim, isl_dim_in) - num);
1251                 case isl_dim_in:
1252                         get_ids(dim, isl_dim_out, 0, dim->n_out,
1253                                 dim->ids + offset(dim, isl_dim_out) - num);
1254                 default:
1255                         ;
1256                 }
1257                 dim->n_id -= num;
1258         }
1259         switch (type) {
1260         case isl_dim_param:     dim->nparam -= num; break;
1261         case isl_dim_in:        dim->n_in -= num; break;
1262         case isl_dim_out:       dim->n_out -= num; break;
1263         default:                ;
1264         }
1265         dim = isl_space_reset(dim, type);
1266         if (type == isl_dim_param) {
1267                 if (dim && dim->nested[0] &&
1268                     !(dim->nested[0] = isl_space_drop_dims(dim->nested[0],
1269                                                     isl_dim_param, first, num)))
1270                         goto error;
1271                 if (dim && dim->nested[1] &&
1272                     !(dim->nested[1] = isl_space_drop_dims(dim->nested[1],
1273                                                     isl_dim_param, first, num)))
1274                         goto error;
1275         }
1276         return dim;
1277 error:
1278         isl_space_free(dim);
1279         return NULL;
1280 }
1281
1282 __isl_give isl_space *isl_space_drop_inputs(__isl_take isl_space *dim,
1283                 unsigned first, unsigned n)
1284 {
1285         if (!dim)
1286                 return NULL;
1287         return isl_space_drop_dims(dim, isl_dim_in, first, n);
1288 }
1289
1290 __isl_give isl_space *isl_space_drop_outputs(__isl_take isl_space *dim,
1291                 unsigned first, unsigned n)
1292 {
1293         if (!dim)
1294                 return NULL;
1295         return isl_space_drop_dims(dim, isl_dim_out, first, n);
1296 }
1297
1298 __isl_give isl_space *isl_space_domain(__isl_take isl_space *dim)
1299 {
1300         if (!dim)
1301                 return NULL;
1302         dim = isl_space_drop_outputs(dim, 0, dim->n_out);
1303         dim = isl_space_reverse(dim);
1304         dim = mark_as_set(dim);
1305         return dim;
1306 }
1307
1308 __isl_give isl_space *isl_space_from_domain(__isl_take isl_space *dim)
1309 {
1310         if (!dim)
1311                 return NULL;
1312         if (!isl_space_is_set(dim))
1313                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1314                         "not a set space", goto error);
1315         dim = isl_space_reverse(dim);
1316         dim = isl_space_reset(dim, isl_dim_out);
1317         return dim;
1318 error:
1319         isl_space_free(dim);
1320         return NULL;
1321 }
1322
1323 __isl_give isl_space *isl_space_range(__isl_take isl_space *dim)
1324 {
1325         if (!dim)
1326                 return NULL;
1327         dim = isl_space_drop_inputs(dim, 0, dim->n_in);
1328         dim = mark_as_set(dim);
1329         return dim;
1330 }
1331
1332 __isl_give isl_space *isl_space_from_range(__isl_take isl_space *dim)
1333 {
1334         if (!dim)
1335                 return NULL;
1336         if (!isl_space_is_set(dim))
1337                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1338                         "not a set space", goto error);
1339         return isl_space_reset(dim, isl_dim_in);
1340 error:
1341         isl_space_free(dim);
1342         return NULL;
1343 }
1344
1345 __isl_give isl_space *isl_space_params(__isl_take isl_space *space)
1346 {
1347         if (isl_space_is_params(space))
1348                 return space;
1349         space = isl_space_drop_dims(space,
1350                             isl_dim_in, 0, isl_space_dim(space, isl_dim_in));
1351         space = isl_space_drop_dims(space,
1352                             isl_dim_out, 0, isl_space_dim(space, isl_dim_out));
1353         space = mark_as_params(space);
1354         return space;
1355 }
1356
1357 __isl_give isl_space *isl_space_set_from_params(__isl_take isl_space *space)
1358 {
1359         if (!space)
1360                 return NULL;
1361         if (!isl_space_is_params(space))
1362                 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1363                         "not a parameter space", goto error);
1364         return isl_space_reset(space, isl_dim_set);
1365 error:
1366         isl_space_free(space);
1367         return NULL;
1368 }
1369
1370 __isl_give isl_space *isl_space_as_set_space(__isl_take isl_space *dim)
1371 {
1372         dim = isl_space_cow(dim);
1373         if (!dim)
1374                 return NULL;
1375
1376         dim->n_out += dim->n_in;
1377         dim->n_in = 0;
1378         dim = isl_space_reset(dim, isl_dim_in);
1379         dim = isl_space_reset(dim, isl_dim_out);
1380
1381         return dim;
1382 }
1383
1384 __isl_give isl_space *isl_space_underlying(__isl_take isl_space *dim,
1385         unsigned n_div)
1386 {
1387         int i;
1388
1389         if (!dim)
1390                 return NULL;
1391         if (n_div == 0 &&
1392             dim->nparam == 0 && dim->n_in == 0 && dim->n_id == 0)
1393                 return isl_space_reset(isl_space_reset(dim, isl_dim_in), isl_dim_out);
1394         dim = isl_space_cow(dim);
1395         if (!dim)
1396                 return NULL;
1397         dim->n_out += dim->nparam + dim->n_in + n_div;
1398         dim->nparam = 0;
1399         dim->n_in = 0;
1400
1401         for (i = 0; i < dim->n_id; ++i)
1402                 isl_id_free(get_id(dim, isl_dim_out, i));
1403         dim->n_id = 0;
1404         dim = isl_space_reset(dim, isl_dim_in);
1405         dim = isl_space_reset(dim, isl_dim_out);
1406
1407         return dim;
1408 }
1409
1410 int isl_space_is_equal(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1411 {
1412         if (!dim1 || !dim2)
1413                 return -1;
1414         if (dim1 == dim2)
1415                 return 1;
1416         return match(dim1, isl_dim_param, dim2, isl_dim_param) &&
1417                isl_space_tuple_match(dim1, isl_dim_in, dim2, isl_dim_in) &&
1418                isl_space_tuple_match(dim1, isl_dim_out, dim2, isl_dim_out);
1419 }
1420
1421 /* Is space1 equal to the domain of space2?
1422  */
1423 int isl_space_is_domain(__isl_keep isl_space *space1,
1424         __isl_keep isl_space *space2)
1425 {
1426         if (!space1 || !space2)
1427                 return -1;
1428         if (!isl_space_is_set(space1))
1429                 return 0;
1430         return match(space1, isl_dim_param, space2, isl_dim_param) &&
1431                isl_space_tuple_match(space1, isl_dim_set, space2, isl_dim_in);
1432 }
1433
1434 int isl_space_compatible(__isl_keep isl_space *dim1,
1435         __isl_keep isl_space *dim2)
1436 {
1437         return dim1->nparam == dim2->nparam &&
1438                dim1->n_in + dim1->n_out == dim2->n_in + dim2->n_out;
1439 }
1440
1441 static uint32_t isl_hash_dim(uint32_t hash, __isl_keep isl_space *dim)
1442 {
1443         int i;
1444         isl_id *id;
1445
1446         if (!dim)
1447                 return hash;
1448
1449         hash = isl_hash_builtin(hash, dim->nparam);
1450         hash = isl_hash_builtin(hash, dim->n_in);
1451         hash = isl_hash_builtin(hash, dim->n_out);
1452
1453         for (i = 0; i < dim->nparam; ++i) {
1454                 id = get_id(dim, isl_dim_param, i);
1455                 hash = isl_hash_id(hash, id);
1456         }
1457
1458         id = tuple_id(dim, isl_dim_in);
1459         hash = isl_hash_id(hash, id);
1460         id = tuple_id(dim, isl_dim_out);
1461         hash = isl_hash_id(hash, id);
1462
1463         hash = isl_hash_dim(hash, dim->nested[0]);
1464         hash = isl_hash_dim(hash, dim->nested[1]);
1465
1466         return hash;
1467 }
1468
1469 uint32_t isl_space_get_hash(__isl_keep isl_space *dim)
1470 {
1471         uint32_t hash;
1472
1473         if (!dim)
1474                 return 0;
1475
1476         hash = isl_hash_init();
1477         hash = isl_hash_dim(hash, dim);
1478
1479         return hash;
1480 }
1481
1482 int isl_space_is_wrapping(__isl_keep isl_space *dim)
1483 {
1484         if (!dim)
1485                 return -1;
1486
1487         if (!isl_space_is_set(dim))
1488                 return 0;
1489
1490         return dim->nested[1] != NULL;
1491 }
1492
1493 __isl_give isl_space *isl_space_wrap(__isl_take isl_space *dim)
1494 {
1495         isl_space *wrap;
1496
1497         if (!dim)
1498                 return NULL;
1499
1500         wrap = isl_space_set_alloc(dim->ctx,
1501                                     dim->nparam, dim->n_in + dim->n_out);
1502
1503         wrap = copy_ids(wrap, isl_dim_param, 0, dim, isl_dim_param);
1504         wrap = copy_ids(wrap, isl_dim_set, 0, dim, isl_dim_in);
1505         wrap = copy_ids(wrap, isl_dim_set, dim->n_in, dim, isl_dim_out);
1506
1507         if (!wrap)
1508                 goto error;
1509
1510         wrap->nested[1] = dim;
1511
1512         return wrap;
1513 error:
1514         isl_space_free(dim);
1515         return NULL;
1516 }
1517
1518 __isl_give isl_space *isl_space_unwrap(__isl_take isl_space *dim)
1519 {
1520         isl_space *unwrap;
1521
1522         if (!dim)
1523                 return NULL;
1524
1525         if (!isl_space_is_wrapping(dim))
1526                 isl_die(dim->ctx, isl_error_invalid, "not a wrapping dim",
1527                         goto error);
1528
1529         unwrap = isl_space_copy(dim->nested[1]);
1530         isl_space_free(dim);
1531
1532         return unwrap;
1533 error:
1534         isl_space_free(dim);
1535         return NULL;
1536 }
1537
1538 int isl_space_is_named_or_nested(__isl_keep isl_space *dim, enum isl_dim_type type)
1539 {
1540         if (type != isl_dim_in && type != isl_dim_out)
1541                 return 0;
1542         if (!dim)
1543                 return -1;
1544         if (dim->tuple_id[type - isl_dim_in])
1545                 return 1;
1546         if (dim->nested[type - isl_dim_in])
1547                 return 1;
1548         return 0;
1549 }
1550
1551 int isl_space_may_be_set(__isl_keep isl_space *dim)
1552 {
1553         if (!dim)
1554                 return -1;
1555         if (isl_space_is_set(dim))
1556                 return 1;
1557         if (isl_space_dim(dim, isl_dim_in) != 0)
1558                 return 0;
1559         if (isl_space_is_named_or_nested(dim, isl_dim_in))
1560                 return 0;
1561         return 1;
1562 }
1563
1564 __isl_give isl_space *isl_space_reset(__isl_take isl_space *dim,
1565         enum isl_dim_type type)
1566 {
1567         if (!isl_space_is_named_or_nested(dim, type))
1568                 return dim;
1569
1570         dim = isl_space_cow(dim);
1571         if (!dim)
1572                 return NULL;
1573
1574         isl_id_free(dim->tuple_id[type - isl_dim_in]);
1575         dim->tuple_id[type - isl_dim_in] = NULL;
1576         isl_space_free(dim->nested[type - isl_dim_in]);
1577         dim->nested[type - isl_dim_in] = NULL;
1578
1579         return dim;
1580 }
1581
1582 __isl_give isl_space *isl_space_flatten(__isl_take isl_space *dim)
1583 {
1584         if (!dim)
1585                 return NULL;
1586         if (!dim->nested[0] && !dim->nested[1])
1587                 return dim;
1588
1589         if (dim->nested[0])
1590                 dim = isl_space_reset(dim, isl_dim_in);
1591         if (dim && dim->nested[1])
1592                 dim = isl_space_reset(dim, isl_dim_out);
1593
1594         return dim;
1595 }
1596
1597 __isl_give isl_space *isl_space_flatten_domain(__isl_take isl_space *dim)
1598 {
1599         if (!dim)
1600                 return NULL;
1601         if (!dim->nested[0])
1602                 return dim;
1603
1604         return isl_space_reset(dim, isl_dim_in);
1605 }
1606
1607 __isl_give isl_space *isl_space_flatten_range(__isl_take isl_space *dim)
1608 {
1609         if (!dim)
1610                 return NULL;
1611         if (!dim->nested[1])
1612                 return dim;
1613
1614         return isl_space_reset(dim, isl_dim_out);
1615 }
1616
1617 /* Replace the dimensions of the given type of dst by those of src.
1618  */
1619 __isl_give isl_space *isl_space_replace(__isl_take isl_space *dst,
1620         enum isl_dim_type type, __isl_keep isl_space *src)
1621 {
1622         dst = isl_space_cow(dst);
1623
1624         if (!dst || !src)
1625                 goto error;
1626
1627         dst = isl_space_drop_dims(dst, type, 0, isl_space_dim(dst, type));
1628         dst = isl_space_add_dims(dst, type, isl_space_dim(src, type));
1629         dst = copy_ids(dst, type, 0, src, type);
1630
1631         if (dst && type == isl_dim_param) {
1632                 int i;
1633                 for (i = 0; i <= 1; ++i) {
1634                         if (!dst->nested[i])
1635                                 continue;
1636                         dst->nested[i] = isl_space_replace(dst->nested[i],
1637                                                          type, src);
1638                         if (!dst->nested[i])
1639                                 goto error;
1640                 }
1641         }
1642
1643         return dst;
1644 error:
1645         isl_space_free(dst);
1646         return NULL;
1647 }
1648
1649 /* Given a dimension specification "dim" of a set, create a dimension
1650  * specification for the lift of the set.  In particular, the result
1651  * is of the form [dim -> local[..]], with n_local variables in the
1652  * range of the wrapped map.
1653  */
1654 __isl_give isl_space *isl_space_lift(__isl_take isl_space *dim, unsigned n_local)
1655 {
1656         isl_space *local_dim;
1657
1658         if (!dim)
1659                 return NULL;
1660
1661         local_dim = isl_space_dup(dim);
1662         local_dim = isl_space_drop_dims(local_dim, isl_dim_set, 0, dim->n_out);
1663         local_dim = isl_space_add_dims(local_dim, isl_dim_set, n_local);
1664         local_dim = isl_space_set_tuple_name(local_dim, isl_dim_set, "local");
1665         dim = isl_space_join(isl_space_from_domain(dim),
1666                             isl_space_from_range(local_dim));
1667         dim = isl_space_wrap(dim);
1668         dim = isl_space_set_tuple_name(dim, isl_dim_set, "lifted");
1669
1670         return dim;
1671 }
1672
1673 int isl_space_can_zip(__isl_keep isl_space *dim)
1674 {
1675         if (!dim)
1676                 return -1;
1677
1678         return dim->nested[0] && dim->nested[1];
1679 }
1680
1681 __isl_give isl_space *isl_space_zip(__isl_take isl_space *dim)
1682 {
1683         isl_space *dom, *ran;
1684         isl_space *dom_dom, *dom_ran, *ran_dom, *ran_ran;
1685
1686         if (!isl_space_can_zip(dim))
1687                 isl_die(dim->ctx, isl_error_invalid, "dim cannot be zipped",
1688                         goto error);
1689
1690         if (!dim)
1691                 return 0;
1692         dom = isl_space_unwrap(isl_space_domain(isl_space_copy(dim)));
1693         ran = isl_space_unwrap(isl_space_range(dim));
1694         dom_dom = isl_space_domain(isl_space_copy(dom));
1695         dom_ran = isl_space_range(dom);
1696         ran_dom = isl_space_domain(isl_space_copy(ran));
1697         ran_ran = isl_space_range(ran);
1698         dom = isl_space_join(isl_space_from_domain(dom_dom),
1699                            isl_space_from_range(ran_dom));
1700         ran = isl_space_join(isl_space_from_domain(dom_ran),
1701                            isl_space_from_range(ran_ran));
1702         return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
1703                             isl_space_from_range(isl_space_wrap(ran)));
1704 error:
1705         isl_space_free(dim);
1706         return NULL;
1707 }
1708
1709 int isl_space_has_named_params(__isl_keep isl_space *dim)
1710 {
1711         int i;
1712         unsigned off;
1713
1714         if (!dim)
1715                 return -1;
1716         if (dim->nparam == 0)
1717                 return 1;
1718         off = isl_space_offset(dim, isl_dim_param);
1719         if (off + dim->nparam > dim->n_id)
1720                 return 0;
1721         for (i = 0; i < dim->nparam; ++i)
1722                 if (!dim->ids[off + i])
1723                         return 0;
1724         return 1;
1725 }
1726
1727 /* Align the initial parameters of dim1 to match the order in dim2.
1728  */
1729 __isl_give isl_space *isl_space_align_params(__isl_take isl_space *dim1,
1730         __isl_take isl_space *dim2)
1731 {
1732         isl_reordering *exp;
1733
1734         if (!isl_space_has_named_params(dim1) || !isl_space_has_named_params(dim2))
1735                 isl_die(isl_space_get_ctx(dim1), isl_error_invalid,
1736                         "parameter alignment requires named parameters",
1737                         goto error);
1738
1739         dim2 = isl_space_params(dim2);
1740         exp = isl_parameter_alignment_reordering(dim1, dim2);
1741         exp = isl_reordering_extend_space(exp, dim1);
1742         isl_space_free(dim2);
1743         if (!exp)
1744                 return NULL;
1745         dim1 = isl_space_copy(exp->dim);
1746         isl_reordering_free(exp);
1747         return dim1;
1748 error:
1749         isl_space_free(dim1);
1750         isl_space_free(dim2);
1751         return NULL;
1752 }
1753
1754 /* Given the space of set (domain), construct a space for a map
1755  * with as domain the given space and as range the range of "model".
1756  */
1757 __isl_give isl_space *isl_space_extend_domain_with_range(
1758         __isl_take isl_space *domain, __isl_take isl_space *model)
1759 {
1760         isl_space *space;
1761
1762         space = isl_space_from_domain(domain);
1763         space = isl_space_add_dims(space, isl_dim_out,
1764                                     isl_space_dim(model, isl_dim_out));
1765         if (isl_space_has_tuple_id(model, isl_dim_out))
1766                 space = isl_space_set_tuple_id(space, isl_dim_out,
1767                                 isl_space_get_tuple_id(model, isl_dim_out));
1768         isl_space_free(model);
1769         return space;
1770 }