isl_space.c

   1 /*
   2  * Copyright 2008-2009 Katholieke Universiteit Leuven
   3  * Copyright 2010      INRIA Saclay
   4  *
   5  * Use of this software is governed by the GNU LGPLv2.1 license
   6  *
   7  * Written by Sven Verdoolaege, K.U.Leuven, Departement
   8  * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
   9  * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
  10  * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
  11  */
  12
  13 #include <stdlib.h>
  14 #include <isl_space_private.h>
  15 #include <isl_id_private.h>
  16 #include <isl_reordering.h>
  17
  18 isl_ctx *isl_space_get_ctx(__isl_keep isl_space *dim)
  19 {
  20         return dim ? dim->ctx : NULL;
  21 }
  22
  23 __isl_give isl_space *isl_space_alloc(isl_ctx *ctx,
  24                         unsigned nparam, unsigned n_in, unsigned n_out)
  25 {
  26         isl_space *dim;
  27
  28         dim = isl_alloc_type(ctx, struct isl_space);
  29         if (!dim)
  30                 return NULL;
  31
  32         dim->ctx = ctx;
  33         isl_ctx_ref(ctx);
  34         dim->ref = 1;
  35         dim->nparam = nparam;
  36         dim->n_in = n_in;
  37         dim->n_out = n_out;
  38
  39         dim->tuple_id[0] = NULL;
  40         dim->tuple_id[1] = NULL;
  41
  42         dim->nested[0] = NULL;
  43         dim->nested[1] = NULL;
  44
  45         dim->n_id = 0;
  46         dim->ids = NULL;
  47
  48         return dim;
  49 }
  50
  51 /* Mark the space as being that of a set, by setting the domain tuple
  52  * to isl_id_none.
  53  */
  54 static __isl_give isl_space *mark_as_set(__isl_take isl_space *space)
  55 {
  56         space = isl_space_cow(space);
  57         if (!space)
  58                 return NULL;
  59         space = isl_space_set_tuple_id(space, isl_dim_in, &isl_id_none);
  60         return space;
  61 }
  62
  63 /* Is the space that of a set?
  64  */
  65 int isl_space_is_set(__isl_keep isl_space *space)
  66 {
  67         if (!space)
  68                 return -1;
  69         if (space->n_in != 0 || space->nested[0])
  70                 return 0;
  71         if (space->tuple_id[0] != &isl_id_none)
  72                 return 0;
  73         return 1;
  74 }
  75
  76 __isl_give isl_space *isl_space_set_alloc(isl_ctx *ctx,
  77                         unsigned nparam, unsigned dim)
  78 {
  79         isl_space *space;
  80         space = isl_space_alloc(ctx, nparam, 0, dim);
  81         space = mark_as_set(space);
  82         return space;
  83 }
  84
  85 /* Mark the space as being that of a parameter domain, by setting
  86  * both tuples to isl_id_none.
  87  */
  88 static __isl_give isl_space *mark_as_params(isl_space *space)
  89 {
  90         if (!space)
  91                 return NULL;
  92         space = isl_space_set_tuple_id(space, isl_dim_in, &isl_id_none);
  93         space = isl_space_set_tuple_id(space, isl_dim_out, &isl_id_none);
  94         return space;
  95 }
  96
  97 /* Is the space that of a parameter domain?
  98  */
  99 int isl_space_is_params(__isl_keep isl_space *space)
 100 {
 101         if (!space)
 102                 return -1;
 103         if (space->n_in != 0 || space->nested[0] ||
 104             space->n_out != 0 || space->nested[1])
 105                 return 0;
 106         if (space->tuple_id[0] != &isl_id_none)
 107                 return 0;
 108         if (space->tuple_id[1] != &isl_id_none)
 109                 return 0;
 110         return 1;
 111 }
 112
 113 /* Create a space for a parameter domain.
 114  */
 115 __isl_give isl_space *isl_space_params_alloc(isl_ctx *ctx, unsigned nparam)
 116 {
 117         isl_space *space;
 118         space = isl_space_alloc(ctx, nparam, 0, 0);
 119         space = mark_as_params(space);
 120         return space;
 121 }
 122
 123 static unsigned global_pos(__isl_keep isl_space *dim,
 124                                  enum isl_dim_type type, unsigned pos)
 125 {
 126         struct isl_ctx *ctx = dim->ctx;
 127
 128         switch (type) {
 129         case isl_dim_param:
 130                 isl_assert(ctx, pos < dim->nparam,
 131                             return isl_space_dim(dim, isl_dim_all));
 132                 return pos;
 133         case isl_dim_in:
 134                 isl_assert(ctx, pos < dim->n_in,
 135                             return isl_space_dim(dim, isl_dim_all));
 136                 return pos + dim->nparam;
 137         case isl_dim_out:
 138                 isl_assert(ctx, pos < dim->n_out,
 139                             return isl_space_dim(dim, isl_dim_all));
 140                 return pos + dim->nparam + dim->n_in;
 141         default:
 142                 isl_assert(ctx, 0, return isl_space_dim(dim, isl_dim_all));
 143         }
 144         return isl_space_dim(dim, isl_dim_all);
 145 }
 146
 147 /* Extend length of ids array to the total number of dimensions.
 148  */
 149 static __isl_give isl_space *extend_ids(__isl_take isl_space *dim)
 150 {
 151         isl_id **ids;
 152         int i;
 153
 154         if (isl_space_dim(dim, isl_dim_all) <= dim->n_id)
 155                 return dim;
 156
 157         if (!dim->ids) {
 158                 dim->ids = isl_calloc_array(dim->ctx,
 159                                 isl_id *, isl_space_dim(dim, isl_dim_all));
 160                 if (!dim->ids)
 161                         goto error;
 162         } else {
 163                 ids = isl_realloc_array(dim->ctx, dim->ids,
 164                                 isl_id *, isl_space_dim(dim, isl_dim_all));
 165                 if (!ids)
 166                         goto error;
 167                 dim->ids = ids;
 168                 for (i = dim->n_id; i < isl_space_dim(dim, isl_dim_all); ++i)
 169                         dim->ids[i] = NULL;
 170         }
 171
 172         dim->n_id = isl_space_dim(dim, isl_dim_all);
 173
 174         return dim;
 175 error:
 176         isl_space_free(dim);
 177         return NULL;
 178 }
 179
 180 static __isl_give isl_space *set_id(__isl_take isl_space *dim,
 181         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
 182 {
 183         dim = isl_space_cow(dim);
 184
 185         if (!dim)
 186                 goto error;
 187
 188         pos = global_pos(dim, type, pos);
 189         if (pos == isl_space_dim(dim, isl_dim_all))
 190                 goto error;
 191
 192         if (pos >= dim->n_id) {
 193                 if (!id)
 194                         return dim;
 195                 dim = extend_ids(dim);
 196                 if (!dim)
 197                         goto error;
 198         }
 199
 200         dim->ids[pos] = id;
 201
 202         return dim;
 203 error:
 204         isl_id_free(id);
 205         isl_space_free(dim);
 206         return NULL;
 207 }
 208
 209 static __isl_keep isl_id *get_id(__isl_keep isl_space *dim,
 210                                  enum isl_dim_type type, unsigned pos)
 211 {
 212         if (!dim)
 213                 return NULL;
 214
 215         pos = global_pos(dim, type, pos);
 216         if (pos == isl_space_dim(dim, isl_dim_all))
 217                 return NULL;
 218         if (pos >= dim->n_id)
 219                 return NULL;
 220         return dim->ids[pos];
 221 }
 222
 223 static unsigned offset(__isl_keep isl_space *dim, enum isl_dim_type type)
 224 {
 225         switch (type) {
 226         case isl_dim_param:     return 0;
 227         case isl_dim_in:        return dim->nparam;
 228         case isl_dim_out:       return dim->nparam + dim->n_in;
 229         default:                return 0;
 230         }
 231 }
 232
 233 static unsigned n(__isl_keep isl_space *dim, enum isl_dim_type type)
 234 {
 235         switch (type) {
 236         case isl_dim_param:     return dim->nparam;
 237         case isl_dim_in:        return dim->n_in;
 238         case isl_dim_out:       return dim->n_out;
 239         case isl_dim_all:       return dim->nparam + dim->n_in + dim->n_out;
 240         default:                return 0;
 241         }
 242 }
 243
 244 unsigned isl_space_dim(__isl_keep isl_space *dim, enum isl_dim_type type)
 245 {
 246         if (!dim)
 247                 return 0;
 248         return n(dim, type);
 249 }
 250
 251 unsigned isl_space_offset(__isl_keep isl_space *dim, enum isl_dim_type type)
 252 {
 253         if (!dim)
 254                 return 0;
 255         return offset(dim, type);
 256 }
 257
 258 static __isl_give isl_space *copy_ids(__isl_take isl_space *dst,
 259         enum isl_dim_type dst_type, unsigned offset, __isl_keep isl_space *src,
 260         enum isl_dim_type src_type)
 261 {
 262         int i;
 263         isl_id *id;
 264
 265         if (!dst)
 266                 return NULL;
 267
 268         for (i = 0; i < n(src, src_type); ++i) {
 269                 id = get_id(src, src_type, i);
 270                 if (!id)
 271                         continue;
 272                 dst = set_id(dst, dst_type, offset + i, isl_id_copy(id));
 273                 if (!dst)
 274                         return NULL;
 275         }
 276         return dst;
 277 }
 278
 279 __isl_take isl_space *isl_space_dup(__isl_keep isl_space *dim)
 280 {
 281         isl_space *dup;
 282         if (!dim)
 283                 return NULL;
 284         dup = isl_space_alloc(dim->ctx, dim->nparam, dim->n_in, dim->n_out);
 285         if (dim->tuple_id[0] &&
 286             !(dup->tuple_id[0] = isl_id_copy(dim->tuple_id[0])))
 287                 goto error;
 288         if (dim->tuple_id[1] &&
 289             !(dup->tuple_id[1] = isl_id_copy(dim->tuple_id[1])))
 290                 goto error;
 291         if (dim->nested[0] && !(dup->nested[0] = isl_space_copy(dim->nested[0])))
 292                 goto error;
 293         if (dim->nested[1] && !(dup->nested[1] = isl_space_copy(dim->nested[1])))
 294                 goto error;
 295         if (!dim->ids)
 296                 return dup;
 297         dup = copy_ids(dup, isl_dim_param, 0, dim, isl_dim_param);
 298         dup = copy_ids(dup, isl_dim_in, 0, dim, isl_dim_in);
 299         dup = copy_ids(dup, isl_dim_out, 0, dim, isl_dim_out);
 300         return dup;
 301 error:
 302         isl_space_free(dup);
 303         return NULL;
 304 }
 305
 306 __isl_give isl_space *isl_space_cow(__isl_take isl_space *dim)
 307 {
 308         if (!dim)
 309                 return NULL;
 310
 311         if (dim->ref == 1)
 312                 return dim;
 313         dim->ref--;
 314         return isl_space_dup(dim);
 315 }
 316
 317 __isl_give isl_space *isl_space_copy(__isl_keep isl_space *dim)
 318 {
 319         if (!dim)
 320                 return NULL;
 321
 322         dim->ref++;
 323         return dim;
 324 }
 325
 326 void isl_space_free(__isl_take isl_space *dim)
 327 {
 328         int i;
 329
 330         if (!dim)
 331                 return;
 332
 333         if (--dim->ref > 0)
 334                 return;
 335
 336         isl_id_free(dim->tuple_id[0]);
 337         isl_id_free(dim->tuple_id[1]);
 338
 339         isl_space_free(dim->nested[0]);
 340         isl_space_free(dim->nested[1]);
 341
 342         for (i = 0; i < dim->n_id; ++i)
 343                 isl_id_free(dim->ids[i]);
 344         free(dim->ids);
 345         isl_ctx_deref(dim->ctx);
 346
 347         free(dim);
 348 }
 349
 350 static int name_ok(isl_ctx *ctx, const char *s)
 351 {
 352         char *p;
 353         long dummy;
 354
 355         dummy = strtol(s, &p, 0);
 356         if (p != s)
 357                 isl_die(ctx, isl_error_invalid, "name looks like a number",
 358                         return 0);
 359
 360         return 1;
 361 }
 362
 363 /* Is it possible for the given dimension type to have a tuple id?
 364  */
 365 static int space_can_have_id(__isl_keep isl_space *space,
 366         enum isl_dim_type type)
 367 {
 368         if (!space)
 369                 return 0;
 370         if (isl_space_is_params(space))
 371                 isl_die(space->ctx, isl_error_invalid,
 372                         "parameter spaces don't have tuple ids", return 0);
 373         if (isl_space_is_set(space) && type != isl_dim_set)
 374                 isl_die(space->ctx, isl_error_invalid,
 375                         "set spaces can only have a set id", return 0);
 376         if (type != isl_dim_in && type != isl_dim_out)
 377                 isl_die(space->ctx, isl_error_invalid,
 378                         "only input, output and set tuples can have ids",
 379                         return 0);
 380
 381         return 1;
 382 }
 383
 384 /* Does the tuple have an id?
 385  */
 386 int isl_space_has_tuple_id(__isl_keep isl_space *dim, enum isl_dim_type type)
 387 {
 388         if (!space_can_have_id(dim, type))
 389                 return -1;
 390         return dim->tuple_id[type - isl_dim_in] != NULL;
 391 }
 392
 393 __isl_give isl_id *isl_space_get_tuple_id(__isl_keep isl_space *dim,
 394         enum isl_dim_type type)
 395 {
 396         int has_id;
 397
 398         if (!dim)
 399                 return NULL;
 400         has_id = isl_space_has_tuple_id(dim, type);
 401         if (has_id < 0)
 402                 return NULL;
 403         if (!has_id)
 404                 isl_die(dim->ctx, isl_error_invalid,
 405                         "tuple has no id", return NULL);
 406         return isl_id_copy(dim->tuple_id[type - isl_dim_in]);
 407 }
 408
 409 __isl_give isl_space *isl_space_set_tuple_id(__isl_take isl_space *dim,
 410         enum isl_dim_type type, __isl_take isl_id *id)
 411 {
 412         dim = isl_space_cow(dim);
 413         if (!dim || !id)
 414                 goto error;
 415         if (type != isl_dim_in && type != isl_dim_out)
 416                 isl_die(dim->ctx, isl_error_invalid,
 417                         "only input, output and set tuples can have names",
 418                         goto error);
 419
 420         isl_id_free(dim->tuple_id[type - isl_dim_in]);
 421         dim->tuple_id[type - isl_dim_in] = id;
 422
 423         return dim;
 424 error:
 425         isl_id_free(id);
 426         isl_space_free(dim);
 427         return NULL;
 428 }
 429
 430 __isl_give isl_space *isl_space_reset_tuple_id(__isl_take isl_space *dim,
 431         enum isl_dim_type type)
 432 {
 433         dim = isl_space_cow(dim);
 434         if (!dim)
 435                 return NULL;
 436         if (type != isl_dim_in && type != isl_dim_out)
 437                 isl_die(dim->ctx, isl_error_invalid,
 438                         "only input, output and set tuples can have names",
 439                         goto error);
 440
 441         isl_id_free(dim->tuple_id[type - isl_dim_in]);
 442         dim->tuple_id[type - isl_dim_in] = NULL;
 443
 444         return dim;
 445 error:
 446         isl_space_free(dim);
 447         return NULL;
 448 }
 449
 450 /* Set the id of the given dimension of "space" to "id".
 451  * If the dimension already has an id, then it is replaced.
 452  * If the dimension is a parameter, then we need to change it
 453  * in the nested spaces (if any) as well.
 454  */
 455 __isl_give isl_space *isl_space_set_dim_id(__isl_take isl_space *space,
 456         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
 457 {
 458         space = isl_space_cow(space);
 459         if (!space || !id)
 460                 goto error;
 461
 462         if (type == isl_dim_param) {
 463                 int i;
 464
 465                 for (i = 0; i < 2; ++i) {
 466                         if (!space->nested[i])
 467                                 continue;
 468                         space->nested[i] =
 469                                 isl_space_set_dim_id(space->nested[i],
 470                                                 type, pos, isl_id_copy(id));
 471                         if (!space->nested[i])
 472                                 goto error;
 473                 }
 474         }
 475
 476         isl_id_free(get_id(space, type, pos));
 477         return set_id(space, type, pos, id);
 478 error:
 479         isl_id_free(id);
 480         isl_space_free(space);
 481         return NULL;
 482 }
 483
 484 /* Reset the id of the given dimension of "space".
 485  * If the dimension already has an id, then it is removed.
 486  * If the dimension is a parameter, then we need to reset it
 487  * in the nested spaces (if any) as well.
 488  */
 489 __isl_give isl_space *isl_space_reset_dim_id(__isl_take isl_space *space,
 490         enum isl_dim_type type, unsigned pos)
 491 {
 492         space = isl_space_cow(space);
 493         if (!space)
 494                 goto error;
 495
 496         if (type == isl_dim_param) {
 497                 int i;
 498
 499                 for (i = 0; i < 2; ++i) {
 500                         if (!space->nested[i])
 501                                 continue;
 502                         space->nested[i] =
 503                                 isl_space_reset_dim_id(space->nested[i],
 504                                                         type, pos);
 505                         if (!space->nested[i])
 506                                 goto error;
 507                 }
 508         }
 509
 510         isl_id_free(get_id(space, type, pos));
 511         return set_id(space, type, pos, NULL);
 512 error:
 513         isl_space_free(space);
 514         return NULL;
 515 }
 516
 517 int isl_space_has_dim_id(__isl_keep isl_space *dim,
 518         enum isl_dim_type type, unsigned pos)
 519 {
 520         if (!dim)
 521                 return -1;
 522         return get_id(dim, type, pos) != NULL;
 523 }
 524
 525 __isl_give isl_id *isl_space_get_dim_id(__isl_keep isl_space *dim,
 526         enum isl_dim_type type, unsigned pos)
 527 {
 528         if (!dim)
 529                 return NULL;
 530         if (!get_id(dim, type, pos))
 531                 isl_die(dim->ctx, isl_error_invalid,
 532                         "dim has no id", return NULL);
 533         return isl_id_copy(get_id(dim, type, pos));
 534 }
 535
 536 __isl_give isl_space *isl_space_set_tuple_name(__isl_take isl_space *dim,
 537         enum isl_dim_type type, const char *s)
 538 {
 539         isl_id *id;
 540
 541         if (!dim)
 542                 return NULL;
 543
 544         if (!s)
 545                 return isl_space_reset_tuple_id(dim, type);
 546
 547         if (!name_ok(dim->ctx, s))
 548                 goto error;
 549
 550         id = isl_id_alloc(dim->ctx, s, NULL);
 551         return isl_space_set_tuple_id(dim, type, id);
 552 error:
 553         isl_space_free(dim);
 554         return NULL;
 555 }
 556
 557 /* Does the tuple have a name?
 558  */
 559 int isl_space_has_tuple_name(__isl_keep isl_space *space,
 560         enum isl_dim_type type)
 561 {
 562         isl_id *id;
 563
 564         if (!space_can_have_id(space, type))
 565                 return -1;
 566         id = space->tuple_id[type - isl_dim_in];
 567         return id && id->name;
 568 }
 569
 570 const char *isl_space_get_tuple_name(__isl_keep isl_space *dim,
 571          enum isl_dim_type type)
 572 {
 573         isl_id *id;
 574         if (!dim)
 575                 return NULL;
 576         if (type != isl_dim_in && type != isl_dim_out)
 577                 return NULL;
 578         id = dim->tuple_id[type - isl_dim_in];
 579         return id ? id->name : NULL;
 580 }
 581
 582 __isl_give isl_space *isl_space_set_dim_name(__isl_take isl_space *dim,
 583                                  enum isl_dim_type type, unsigned pos,
 584                                  const char *s)
 585 {
 586         isl_id *id;
 587
 588         if (!dim)
 589                 return NULL;
 590         if (!s)
 591                 return isl_space_reset_dim_id(dim, type, pos);
 592         if (!name_ok(dim->ctx, s))
 593                 goto error;
 594         id = isl_id_alloc(dim->ctx, s, NULL);
 595         return isl_space_set_dim_id(dim, type, pos, id);
 596 error:
 597         isl_space_free(dim);
 598         return NULL;
 599 }
 600
 601 /* Does the given dimension have a name?
 602  */
 603 int isl_space_has_dim_name(__isl_keep isl_space *space,
 604         enum isl_dim_type type, unsigned pos)
 605 {
 606         isl_id *id;
 607
 608         if (!space)
 609                 return -1;
 610         id = get_id(space, type, pos);
 611         return id && id->name;
 612 }
 613
 614 __isl_keep const char *isl_space_get_dim_name(__isl_keep isl_space *dim,
 615                                  enum isl_dim_type type, unsigned pos)
 616 {
 617         isl_id *id = get_id(dim, type, pos);
 618         return id ? id->name : NULL;
 619 }
 620
 621 int isl_space_find_dim_by_id(__isl_keep isl_space *dim, enum isl_dim_type type,
 622         __isl_keep isl_id *id)
 623 {
 624         int i;
 625         int offset;
 626         int n;
 627
 628         if (!dim || !id)
 629                 return -1;
 630
 631         offset = isl_space_offset(dim, type);
 632         n = isl_space_dim(dim, type);
 633         for (i = 0; i < n && offset + i < dim->n_id; ++i)
 634                 if (dim->ids[offset + i] == id)
 635                         return i;
 636
 637         return -1;
 638 }
 639
 640 int isl_space_find_dim_by_name(__isl_keep isl_space *space,
 641         enum isl_dim_type type, const char *name)
 642 {
 643         int i;
 644         int offset;
 645         int n;
 646
 647         if (!space || !name)
 648                 return -1;
 649
 650         offset = isl_space_offset(space, type);
 651         n = isl_space_dim(space, type);
 652         for (i = 0; i < n && offset + i < space->n_id; ++i)
 653                 if (space->ids[offset + i]->name &&
 654                     !strcmp(space->ids[offset + i]->name, name))
 655                         return i;
 656
 657         return -1;
 658 }
 659
 660 static __isl_keep isl_id *tuple_id(__isl_keep isl_space *dim,
 661         enum isl_dim_type type)
 662 {
 663         if (!dim)
 664                 return NULL;
 665         if (type == isl_dim_in)
 666                 return dim->tuple_id[0];
 667         if (type == isl_dim_out)
 668                 return dim->tuple_id[1];
 669         return NULL;
 670 }
 671
 672 static __isl_keep isl_space *nested(__isl_keep isl_space *dim,
 673         enum isl_dim_type type)
 674 {
 675         if (!dim)
 676                 return NULL;
 677         if (type == isl_dim_in)
 678                 return dim->nested[0];
 679         if (type == isl_dim_out)
 680                 return dim->nested[1];
 681         return NULL;
 682 }
 683
 684 int isl_space_tuple_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 685                         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 686 {
 687         isl_id *id1, *id2;
 688         isl_space *nested1, *nested2;
 689
 690         if (!dim1 || !dim2)
 691                 return -1;
 692
 693         if (dim1 == dim2 && dim1_type == dim2_type)
 694                 return 1;
 695
 696         if (n(dim1, dim1_type) != n(dim2, dim2_type))
 697                 return 0;
 698         id1 = tuple_id(dim1, dim1_type);
 699         id2 = tuple_id(dim2, dim2_type);
 700         if (!id1 ^ !id2)
 701                 return 0;
 702         if (id1 && id1 != id2)
 703                 return 0;
 704         nested1 = nested(dim1, dim1_type);
 705         nested2 = nested(dim2, dim2_type);
 706         if (!nested1 ^ !nested2)
 707                 return 0;
 708         if (nested1 && !isl_space_is_equal(nested1, nested2))
 709                 return 0;
 710         return 1;
 711 }
 712
 713 static int match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 714         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 715 {
 716         int i;
 717
 718         if (dim1 == dim2 && dim1_type == dim2_type)
 719                 return 1;
 720
 721         if (!isl_space_tuple_match(dim1, dim1_type, dim2, dim2_type))
 722                 return 0;
 723
 724         if (!dim1->ids && !dim2->ids)
 725                 return 1;
 726
 727         for (i = 0; i < n(dim1, dim1_type); ++i) {
 728                 if (get_id(dim1, dim1_type, i) != get_id(dim2, dim2_type, i))
 729                         return 0;
 730         }
 731         return 1;
 732 }
 733
 734 int isl_space_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
 735         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
 736 {
 737         if (!dim1 || !dim2)
 738                 return -1;
 739
 740         return match(dim1, dim1_type, dim2, dim2_type);
 741 }
 742
 743 static void get_ids(__isl_keep isl_space *dim, enum isl_dim_type type,
 744         unsigned first, unsigned n, __isl_keep isl_id **ids)
 745 {
 746         int i;
 747
 748         for (i = 0; i < n ; ++i)
 749                 ids[i] = get_id(dim, type, first + i);
 750 }
 751
 752 __isl_give isl_space *isl_space_extend(__isl_take isl_space *dim,
 753                         unsigned nparam, unsigned n_in, unsigned n_out)
 754 {
 755         isl_id **ids = NULL;
 756
 757         if (!dim)
 758                 return NULL;
 759         if (dim->nparam == nparam && dim->n_in == n_in && dim->n_out == n_out)
 760                 return dim;
 761
 762         isl_assert(dim->ctx, dim->nparam <= nparam, goto error);
 763         isl_assert(dim->ctx, dim->n_in <= n_in, goto error);
 764         isl_assert(dim->ctx, dim->n_out <= n_out, goto error);
 765
 766         dim = isl_space_cow(dim);
 767
 768         if (dim->ids) {
 769                 ids = isl_calloc_array(dim->ctx, isl_id *,
 770                                          nparam + n_in + n_out);
 771                 if (!ids)
 772                         goto error;
 773                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
 774                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids + nparam);
 775                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + nparam + n_in);
 776                 free(dim->ids);
 777                 dim->ids = ids;
 778                 dim->n_id = nparam + n_in + n_out;
 779         }
 780         dim->nparam = nparam;
 781         dim->n_in = n_in;
 782         dim->n_out = n_out;
 783
 784         return dim;
 785 error:
 786         free(ids);
 787         isl_space_free(dim);
 788         return NULL;
 789 }
 790
 791 __isl_give isl_space *isl_space_add_dims(__isl_take isl_space *dim,
 792         enum isl_dim_type type, unsigned n)
 793 {
 794         if (!dim)
 795                 return NULL;
 796         dim = isl_space_reset(dim, type);
 797         switch (type) {
 798         case isl_dim_param:
 799                 dim = isl_space_extend(dim,
 800                                         dim->nparam + n, dim->n_in, dim->n_out);
 801                 if (dim && dim->nested[0] &&
 802                     !(dim->nested[0] = isl_space_add_dims(dim->nested[0],
 803                                                     isl_dim_param, n)))
 804                         goto error;
 805                 if (dim && dim->nested[1] &&
 806                     !(dim->nested[1] = isl_space_add_dims(dim->nested[1],
 807                                                     isl_dim_param, n)))
 808                         goto error;
 809                 return dim;
 810         case isl_dim_in:
 811                 return isl_space_extend(dim,
 812                                         dim->nparam, dim->n_in + n, dim->n_out);
 813         case isl_dim_out:
 814                 return isl_space_extend(dim,
 815                                         dim->nparam, dim->n_in, dim->n_out + n);
 816         default:
 817                 isl_die(dim->ctx, isl_error_invalid,
 818                         "cannot add dimensions of specified type", goto error);
 819         }
 820 error:
 821         isl_space_free(dim);
 822         return NULL;
 823 }
 824
 825 static int valid_dim_type(enum isl_dim_type type)
 826 {
 827         switch (type) {
 828         case isl_dim_param:
 829         case isl_dim_in:
 830         case isl_dim_out:
 831                 return 1;
 832         default:
 833                 return 0;
 834         }
 835 }
 836
 837 __isl_give isl_space *isl_space_insert_dims(__isl_take isl_space *dim,
 838         enum isl_dim_type type, unsigned pos, unsigned n)
 839 {
 840         isl_id **ids = NULL;
 841
 842         if (!dim)
 843                 return NULL;
 844         if (n == 0)
 845                 return isl_space_reset(dim, type);
 846
 847         if (!valid_dim_type(type))
 848                 isl_die(dim->ctx, isl_error_invalid,
 849                         "cannot insert dimensions of specified type",
 850                         goto error);
 851
 852         isl_assert(dim->ctx, pos <= isl_space_dim(dim, type), goto error);
 853
 854         dim = isl_space_cow(dim);
 855         if (!dim)
 856                 return NULL;
 857
 858         if (dim->ids) {
 859                 enum isl_dim_type t;
 860                 int off;
 861                 int s[3];
 862                 int *size = s - isl_dim_param;
 863                 ids = isl_calloc_array(dim->ctx, isl_id *,
 864                                      dim->nparam + dim->n_in + dim->n_out + n);
 865                 if (!ids)
 866                         goto error;
 867                 off = 0;
 868                 size[isl_dim_param] = dim->nparam;
 869                 size[isl_dim_in] = dim->n_in;
 870                 size[isl_dim_out] = dim->n_out;
 871                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 872                         if (t != type) {
 873                                 get_ids(dim, t, 0, size[t], ids + off);
 874                                 off += size[t];
 875                         } else {
 876                                 get_ids(dim, t, 0, pos, ids + off);
 877                                 off += pos + n;
 878                                 get_ids(dim, t, pos, size[t] - pos, ids + off);
 879                                 off += size[t] - pos;
 880                         }
 881                 }
 882                 free(dim->ids);
 883                 dim->ids = ids;
 884                 dim->n_id = dim->nparam + dim->n_in + dim->n_out + n;
 885         }
 886         switch (type) {
 887         case isl_dim_param:     dim->nparam += n; break;
 888         case isl_dim_in:        dim->n_in += n; break;
 889         case isl_dim_out:       dim->n_out += n; break;
 890         default:                ;
 891         }
 892         dim = isl_space_reset(dim, type);
 893
 894         return dim;
 895 error:
 896         isl_space_free(dim);
 897         return NULL;
 898 }
 899
 900 __isl_give isl_space *isl_space_move_dims(__isl_take isl_space *dim,
 901         enum isl_dim_type dst_type, unsigned dst_pos,
 902         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
 903 {
 904         int i;
 905
 906         if (!dim)
 907                 return NULL;
 908         if (n == 0)
 909                 return dim;
 910
 911         isl_assert(dim->ctx, src_pos + n <= isl_space_dim(dim, src_type),
 912                 goto error);
 913
 914         if (dst_type == src_type && dst_pos == src_pos)
 915                 return dim;
 916
 917         isl_assert(dim->ctx, dst_type != src_type, goto error);
 918
 919         dim = isl_space_reset(dim, src_type);
 920         dim = isl_space_reset(dim, dst_type);
 921
 922         dim = isl_space_cow(dim);
 923         if (!dim)
 924                 return NULL;
 925
 926         if (dim->ids) {
 927                 isl_id **ids;
 928                 enum isl_dim_type t;
 929                 int off;
 930                 int s[3];
 931                 int *size = s - isl_dim_param;
 932                 ids = isl_calloc_array(dim->ctx, isl_id *,
 933                                          dim->nparam + dim->n_in + dim->n_out);
 934                 if (!ids)
 935                         goto error;
 936                 off = 0;
 937                 size[isl_dim_param] = dim->nparam;
 938                 size[isl_dim_in] = dim->n_in;
 939                 size[isl_dim_out] = dim->n_out;
 940                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
 941                         if (t == dst_type) {
 942                                 get_ids(dim, t, 0, dst_pos, ids + off);
 943                                 off += dst_pos;
 944                                 get_ids(dim, src_type, src_pos, n, ids + off);
 945                                 off += n;
 946                                 get_ids(dim, t, dst_pos, size[t] - dst_pos,
 947                                                 ids + off);
 948                                 off += size[t] - dst_pos;
 949                         } else if (t == src_type) {
 950                                 get_ids(dim, t, 0, src_pos, ids + off);
 951                                 off += src_pos;
 952                                 get_ids(dim, t, src_pos + n,
 953                                             size[t] - src_pos - n, ids + off);
 954                                 off += size[t] - src_pos - n;
 955                         } else {
 956                                 get_ids(dim, t, 0, size[t], ids + off);
 957                                 off += size[t];
 958                         }
 959                 }
 960                 free(dim->ids);
 961                 dim->ids = ids;
 962                 dim->n_id = dim->nparam + dim->n_in + dim->n_out;
 963         }
 964
 965         switch (dst_type) {
 966         case isl_dim_param:     dim->nparam += n; break;
 967         case isl_dim_in:        dim->n_in += n; break;
 968         case isl_dim_out:       dim->n_out += n; break;
 969         default:                ;
 970         }
 971
 972         switch (src_type) {
 973         case isl_dim_param:     dim->nparam -= n; break;
 974         case isl_dim_in:        dim->n_in -= n; break;
 975         case isl_dim_out:       dim->n_out -= n; break;
 976         default:                ;
 977         }
 978
 979         if (dst_type != isl_dim_param && src_type != isl_dim_param)
 980                 return dim;
 981
 982         for (i = 0; i < 2; ++i) {
 983                 if (!dim->nested[i])
 984                         continue;
 985                 dim->nested[i] = isl_space_replace(dim->nested[i],
 986                                                  isl_dim_param, dim);
 987                 if (!dim->nested[i])
 988                         goto error;
 989         }
 990
 991         return dim;
 992 error:
 993         isl_space_free(dim);
 994         return NULL;
 995 }
 996
 997 __isl_give isl_space *isl_space_join(__isl_take isl_space *left,
 998         __isl_take isl_space *right)
 999 {
1000         isl_space *dim;
1001
1002         if (!left || !right)
1003                 goto error;
1004
1005         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1006                         goto error);
1007         isl_assert(left->ctx,
1008                 isl_space_tuple_match(left, isl_dim_out, right, isl_dim_in),
1009                 goto error);
1010
1011         dim = isl_space_alloc(left->ctx, left->nparam, left->n_in, right->n_out);
1012         if (!dim)
1013                 goto error;
1014
1015         dim = copy_ids(dim, isl_dim_param, 0, left, isl_dim_param);
1016         dim = copy_ids(dim, isl_dim_in, 0, left, isl_dim_in);
1017         dim = copy_ids(dim, isl_dim_out, 0, right, isl_dim_out);
1018
1019         if (dim && left->tuple_id[0] &&
1020             !(dim->tuple_id[0] = isl_id_copy(left->tuple_id[0])))
1021                 goto error;
1022         if (dim && right->tuple_id[1] &&
1023             !(dim->tuple_id[1] = isl_id_copy(right->tuple_id[1])))
1024                 goto error;
1025         if (dim && left->nested[0] &&
1026             !(dim->nested[0] = isl_space_copy(left->nested[0])))
1027                 goto error;
1028         if (dim && right->nested[1] &&
1029             !(dim->nested[1] = isl_space_copy(right->nested[1])))
1030                 goto error;
1031
1032         isl_space_free(left);
1033         isl_space_free(right);
1034
1035         return dim;
1036 error:
1037         isl_space_free(left);
1038         isl_space_free(right);
1039         return NULL;
1040 }
1041
1042 __isl_give isl_space *isl_space_product(__isl_take isl_space *left,
1043         __isl_take isl_space *right)
1044 {
1045         isl_space *dom1, *dom2, *nest1, *nest2;
1046
1047         if (!left || !right)
1048                 goto error;
1049
1050         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1051                         goto error);
1052
1053         dom1 = isl_space_domain(isl_space_copy(left));
1054         dom2 = isl_space_domain(isl_space_copy(right));
1055         nest1 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1056
1057         dom1 = isl_space_range(left);
1058         dom2 = isl_space_range(right);
1059         nest2 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1060
1061         return isl_space_join(isl_space_reverse(nest1), nest2);
1062 error:
1063         isl_space_free(left);
1064         isl_space_free(right);
1065         return NULL;
1066 }
1067
1068 /* Given two spaces { A -> C } and { B -> C }, construct the space
1069  * { [A -> B] -> C }
1070  */
1071 __isl_give isl_space *isl_space_domain_product(__isl_take isl_space *left,
1072         __isl_take isl_space *right)
1073 {
1074         isl_space *ran, *dom1, *dom2, *nest;
1075
1076         if (!left || !right)
1077                 goto error;
1078
1079         if (!match(left, isl_dim_param, right, isl_dim_param))
1080                 isl_die(left->ctx, isl_error_invalid,
1081                         "parameters need to match", goto error);
1082         if (!isl_space_tuple_match(left, isl_dim_out, right, isl_dim_out))
1083                 isl_die(left->ctx, isl_error_invalid,
1084                         "ranges need to match", goto error);
1085
1086         ran = isl_space_range(isl_space_copy(left));
1087
1088         dom1 = isl_space_domain(left);
1089         dom2 = isl_space_domain(right);
1090         nest = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1091
1092         return isl_space_join(isl_space_reverse(nest), ran);
1093 error:
1094         isl_space_free(left);
1095         isl_space_free(right);
1096         return NULL;
1097 }
1098
1099 __isl_give isl_space *isl_space_range_product(__isl_take isl_space *left,
1100         __isl_take isl_space *right)
1101 {
1102         isl_space *dom, *ran1, *ran2, *nest;
1103
1104         if (!left || !right)
1105                 goto error;
1106
1107         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1108                         goto error);
1109         if (!isl_space_tuple_match(left, isl_dim_in, right, isl_dim_in))
1110                 isl_die(left->ctx, isl_error_invalid,
1111                         "domains need to match", goto error);
1112
1113         dom = isl_space_domain(isl_space_copy(left));
1114
1115         ran1 = isl_space_range(left);
1116         ran2 = isl_space_range(right);
1117         nest = isl_space_wrap(isl_space_join(isl_space_reverse(ran1), ran2));
1118
1119         return isl_space_join(isl_space_reverse(dom), nest);
1120 error:
1121         isl_space_free(left);
1122         isl_space_free(right);
1123         return NULL;
1124 }
1125
1126 __isl_give isl_space *isl_space_map_from_set(__isl_take isl_space *dim)
1127 {
1128         isl_ctx *ctx;
1129         isl_id **ids = NULL;
1130
1131         if (!dim)
1132                 return NULL;
1133         ctx = isl_space_get_ctx(dim);
1134         if (!isl_space_is_set(dim))
1135                 isl_die(ctx, isl_error_invalid, "not a set space", goto error);
1136         dim = isl_space_cow(dim);
1137         if (!dim)
1138                 return NULL;
1139         if (dim->ids) {
1140                 ids = isl_calloc_array(dim->ctx, isl_id *,
1141                                         dim->nparam + dim->n_out + dim->n_out);
1142                 if (!ids)
1143                         goto error;
1144                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
1145                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->nparam);
1146         }
1147         dim->n_in = dim->n_out;
1148         if (ids) {
1149                 free(dim->ids);
1150                 dim->ids = ids;
1151                 dim->n_id = dim->nparam + dim->n_out + dim->n_out;
1152                 dim = copy_ids(dim, isl_dim_out, 0, dim, isl_dim_in);
1153         }
1154         isl_id_free(dim->tuple_id[0]);
1155         dim->tuple_id[0] = isl_id_copy(dim->tuple_id[1]);
1156         isl_space_free(dim->nested[0]);
1157         dim->nested[0] = isl_space_copy(dim->nested[1]);
1158         return dim;
1159 error:
1160         isl_space_free(dim);
1161         return NULL;
1162 }
1163
1164 __isl_give isl_space *isl_space_map_from_domain_and_range(
1165         __isl_take isl_space *domain, __isl_take isl_space *range)
1166 {
1167         if (!domain || !range)
1168                 goto error;
1169         if (!isl_space_is_set(domain))
1170                 isl_die(isl_space_get_ctx(domain), isl_error_invalid,
1171                         "domain is not a set space", goto error);
1172         if (!isl_space_is_set(range))
1173                 isl_die(isl_space_get_ctx(range), isl_error_invalid,
1174                         "range is not a set space", goto error);
1175         return isl_space_join(isl_space_reverse(domain), range);
1176 error:
1177         isl_space_free(domain);
1178         isl_space_free(range);
1179         return NULL;
1180 }
1181
1182 static __isl_give isl_space *set_ids(__isl_take isl_space *dim,
1183         enum isl_dim_type type,
1184         unsigned first, unsigned n, __isl_take isl_id **ids)
1185 {
1186         int i;
1187
1188         for (i = 0; i < n ; ++i)
1189                 dim = set_id(dim, type, first + i, ids[i]);
1190
1191         return dim;
1192 }
1193
1194 __isl_give isl_space *isl_space_reverse(__isl_take isl_space *dim)
1195 {
1196         unsigned t;
1197         isl_space *nested;
1198         isl_id **ids = NULL;
1199         isl_id *id;
1200
1201         if (!dim)
1202                 return NULL;
1203         if (match(dim, isl_dim_in, dim, isl_dim_out))
1204                 return dim;
1205
1206         dim = isl_space_cow(dim);
1207         if (!dim)
1208                 return NULL;
1209
1210         id = dim->tuple_id[0];
1211         dim->tuple_id[0] = dim->tuple_id[1];
1212         dim->tuple_id[1] = id;
1213
1214         nested = dim->nested[0];
1215         dim->nested[0] = dim->nested[1];
1216         dim->nested[1] = nested;
1217
1218         if (dim->ids) {
1219                 ids = isl_alloc_array(dim->ctx, isl_id *,
1220                                         dim->n_in + dim->n_out);
1221                 if (!ids)
1222                         goto error;
1223                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids);
1224                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->n_in);
1225         }
1226
1227         t = dim->n_in;
1228         dim->n_in = dim->n_out;
1229         dim->n_out = t;
1230
1231         if (dim->ids) {
1232                 dim = set_ids(dim, isl_dim_out, 0, dim->n_out, ids);
1233                 dim = set_ids(dim, isl_dim_in, 0, dim->n_in, ids + dim->n_out);
1234                 free(ids);
1235         }
1236
1237         return dim;
1238 error:
1239         free(ids);
1240         isl_space_free(dim);
1241         return NULL;
1242 }
1243
1244 __isl_give isl_space *isl_space_drop_dims(__isl_take isl_space *dim,
1245         enum isl_dim_type type, unsigned first, unsigned num)
1246 {
1247         int i;
1248
1249         if (!dim)
1250                 return NULL;
1251
1252         if (num == 0)
1253                 return isl_space_reset(dim, type);
1254
1255         if (!valid_dim_type(type))
1256                 isl_die(dim->ctx, isl_error_invalid,
1257                         "cannot drop dimensions of specified type", goto error);
1258
1259         isl_assert(dim->ctx, first + num <= n(dim, type), goto error);
1260         dim = isl_space_cow(dim);
1261         if (!dim)
1262                 goto error;
1263         if (dim->ids) {
1264                 dim = extend_ids(dim);
1265                 if (!dim)
1266                         goto error;
1267                 for (i = 0; i < num; ++i)
1268                         isl_id_free(get_id(dim, type, first + i));
1269                 for (i = first+num; i < n(dim, type); ++i)
1270                         set_id(dim, type, i - num, get_id(dim, type, i));
1271                 switch (type) {
1272                 case isl_dim_param:
1273                         get_ids(dim, isl_dim_in, 0, dim->n_in,
1274                                 dim->ids + offset(dim, isl_dim_in) - num);
1275                 case isl_dim_in:
1276                         get_ids(dim, isl_dim_out, 0, dim->n_out,
1277                                 dim->ids + offset(dim, isl_dim_out) - num);
1278                 default:
1279                         ;
1280                 }
1281                 dim->n_id -= num;
1282         }
1283         switch (type) {
1284         case isl_dim_param:     dim->nparam -= num; break;
1285         case isl_dim_in:        dim->n_in -= num; break;
1286         case isl_dim_out:       dim->n_out -= num; break;
1287         default:                ;
1288         }
1289         dim = isl_space_reset(dim, type);
1290         if (type == isl_dim_param) {
1291                 if (dim && dim->nested[0] &&
1292                     !(dim->nested[0] = isl_space_drop_dims(dim->nested[0],
1293                                                     isl_dim_param, first, num)))
1294                         goto error;
1295                 if (dim && dim->nested[1] &&
1296                     !(dim->nested[1] = isl_space_drop_dims(dim->nested[1],
1297                                                     isl_dim_param, first, num)))
1298                         goto error;
1299         }
1300         return dim;
1301 error:
1302         isl_space_free(dim);
1303         return NULL;
1304 }
1305
1306 __isl_give isl_space *isl_space_drop_inputs(__isl_take isl_space *dim,
1307                 unsigned first, unsigned n)
1308 {
1309         if (!dim)
1310                 return NULL;
1311         return isl_space_drop_dims(dim, isl_dim_in, first, n);
1312 }
1313
1314 __isl_give isl_space *isl_space_drop_outputs(__isl_take isl_space *dim,
1315                 unsigned first, unsigned n)
1316 {
1317         if (!dim)
1318                 return NULL;
1319         return isl_space_drop_dims(dim, isl_dim_out, first, n);
1320 }
1321
1322 __isl_give isl_space *isl_space_domain(__isl_take isl_space *dim)
1323 {
1324         if (!dim)
1325                 return NULL;
1326         dim = isl_space_drop_outputs(dim, 0, dim->n_out);
1327         dim = isl_space_reverse(dim);
1328         dim = mark_as_set(dim);
1329         return dim;
1330 }
1331
1332 __isl_give isl_space *isl_space_from_domain(__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         dim = isl_space_reverse(dim);
1340         dim = isl_space_reset(dim, isl_dim_out);
1341         return dim;
1342 error:
1343         isl_space_free(dim);
1344         return NULL;
1345 }
1346
1347 __isl_give isl_space *isl_space_range(__isl_take isl_space *dim)
1348 {
1349         if (!dim)
1350                 return NULL;
1351         dim = isl_space_drop_inputs(dim, 0, dim->n_in);
1352         dim = mark_as_set(dim);
1353         return dim;
1354 }
1355
1356 __isl_give isl_space *isl_space_from_range(__isl_take isl_space *dim)
1357 {
1358         if (!dim)
1359                 return NULL;
1360         if (!isl_space_is_set(dim))
1361                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1362                         "not a set space", goto error);
1363         return isl_space_reset(dim, isl_dim_in);
1364 error:
1365         isl_space_free(dim);
1366         return NULL;
1367 }
1368
1369 __isl_give isl_space *isl_space_params(__isl_take isl_space *space)
1370 {
1371         if (isl_space_is_params(space))
1372                 return space;
1373         space = isl_space_drop_dims(space,
1374                             isl_dim_in, 0, isl_space_dim(space, isl_dim_in));
1375         space = isl_space_drop_dims(space,
1376                             isl_dim_out, 0, isl_space_dim(space, isl_dim_out));
1377         space = mark_as_params(space);
1378         return space;
1379 }
1380
1381 __isl_give isl_space *isl_space_set_from_params(__isl_take isl_space *space)
1382 {
1383         if (!space)
1384                 return NULL;
1385         if (!isl_space_is_params(space))
1386                 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1387                         "not a parameter space", goto error);
1388         return isl_space_reset(space, isl_dim_set);
1389 error:
1390         isl_space_free(space);
1391         return NULL;
1392 }
1393
1394 __isl_give isl_space *isl_space_as_set_space(__isl_take isl_space *dim)
1395 {
1396         dim = isl_space_cow(dim);
1397         if (!dim)
1398                 return NULL;
1399
1400         dim->n_out += dim->n_in;
1401         dim->n_in = 0;
1402         dim = isl_space_reset(dim, isl_dim_in);
1403         dim = isl_space_reset(dim, isl_dim_out);
1404
1405         return dim;
1406 }
1407
1408 __isl_give isl_space *isl_space_underlying(__isl_take isl_space *dim,
1409         unsigned n_div)
1410 {
1411         int i;
1412
1413         if (!dim)
1414                 return NULL;
1415         if (n_div == 0 &&
1416             dim->nparam == 0 && dim->n_in == 0 && dim->n_id == 0)
1417                 return isl_space_reset(isl_space_reset(dim, isl_dim_in), isl_dim_out);
1418         dim = isl_space_cow(dim);
1419         if (!dim)
1420                 return NULL;
1421         dim->n_out += dim->nparam + dim->n_in + n_div;
1422         dim->nparam = 0;
1423         dim->n_in = 0;
1424
1425         for (i = 0; i < dim->n_id; ++i)
1426                 isl_id_free(get_id(dim, isl_dim_out, i));
1427         dim->n_id = 0;
1428         dim = isl_space_reset(dim, isl_dim_in);
1429         dim = isl_space_reset(dim, isl_dim_out);
1430
1431         return dim;
1432 }
1433
1434 int isl_space_is_equal(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1435 {
1436         if (!dim1 || !dim2)
1437                 return -1;
1438         if (dim1 == dim2)
1439                 return 1;
1440         return match(dim1, isl_dim_param, dim2, isl_dim_param) &&
1441                isl_space_tuple_match(dim1, isl_dim_in, dim2, isl_dim_in) &&
1442                isl_space_tuple_match(dim1, isl_dim_out, dim2, isl_dim_out);
1443 }
1444
1445 /* Is space1 equal to the domain of space2?
1446  */
1447 int isl_space_is_domain(__isl_keep isl_space *space1,
1448         __isl_keep isl_space *space2)
1449 {
1450         if (!space1 || !space2)
1451                 return -1;
1452         if (!isl_space_is_set(space1))
1453                 return 0;
1454         return match(space1, isl_dim_param, space2, isl_dim_param) &&
1455                isl_space_tuple_match(space1, isl_dim_set, space2, isl_dim_in);
1456 }
1457
1458 int isl_space_compatible(__isl_keep isl_space *dim1,
1459         __isl_keep isl_space *dim2)
1460 {
1461         return dim1->nparam == dim2->nparam &&
1462                dim1->n_in + dim1->n_out == dim2->n_in + dim2->n_out;
1463 }
1464
1465 static uint32_t isl_hash_dim(uint32_t hash, __isl_keep isl_space *dim)
1466 {
1467         int i;
1468         isl_id *id;
1469
1470         if (!dim)
1471                 return hash;
1472
1473         hash = isl_hash_builtin(hash, dim->nparam);
1474         hash = isl_hash_builtin(hash, dim->n_in);
1475         hash = isl_hash_builtin(hash, dim->n_out);
1476
1477         for (i = 0; i < dim->nparam; ++i) {
1478                 id = get_id(dim, isl_dim_param, i);
1479                 hash = isl_hash_id(hash, id);
1480         }
1481
1482         id = tuple_id(dim, isl_dim_in);
1483         hash = isl_hash_id(hash, id);
1484         id = tuple_id(dim, isl_dim_out);
1485         hash = isl_hash_id(hash, id);
1486
1487         hash = isl_hash_dim(hash, dim->nested[0]);
1488         hash = isl_hash_dim(hash, dim->nested[1]);
1489
1490         return hash;
1491 }
1492
1493 uint32_t isl_space_get_hash(__isl_keep isl_space *dim)
1494 {
1495         uint32_t hash;
1496
1497         if (!dim)
1498                 return 0;
1499
1500         hash = isl_hash_init();
1501         hash = isl_hash_dim(hash, dim);
1502
1503         return hash;
1504 }
1505
1506 int isl_space_is_wrapping(__isl_keep isl_space *dim)
1507 {
1508         if (!dim)
1509                 return -1;
1510
1511         if (!isl_space_is_set(dim))
1512                 return 0;
1513
1514         return dim->nested[1] != NULL;
1515 }
1516
1517 __isl_give isl_space *isl_space_wrap(__isl_take isl_space *dim)
1518 {
1519         isl_space *wrap;
1520
1521         if (!dim)
1522                 return NULL;
1523
1524         wrap = isl_space_set_alloc(dim->ctx,
1525                                     dim->nparam, dim->n_in + dim->n_out);
1526
1527         wrap = copy_ids(wrap, isl_dim_param, 0, dim, isl_dim_param);
1528         wrap = copy_ids(wrap, isl_dim_set, 0, dim, isl_dim_in);
1529         wrap = copy_ids(wrap, isl_dim_set, dim->n_in, dim, isl_dim_out);
1530
1531         if (!wrap)
1532                 goto error;
1533
1534         wrap->nested[1] = dim;
1535
1536         return wrap;
1537 error:
1538         isl_space_free(dim);
1539         return NULL;
1540 }
1541
1542 __isl_give isl_space *isl_space_unwrap(__isl_take isl_space *dim)
1543 {
1544         isl_space *unwrap;
1545
1546         if (!dim)
1547                 return NULL;
1548
1549         if (!isl_space_is_wrapping(dim))
1550                 isl_die(dim->ctx, isl_error_invalid, "not a wrapping dim",
1551                         goto error);
1552
1553         unwrap = isl_space_copy(dim->nested[1]);
1554         isl_space_free(dim);
1555
1556         return unwrap;
1557 error:
1558         isl_space_free(dim);
1559         return NULL;
1560 }
1561
1562 int isl_space_is_named_or_nested(__isl_keep isl_space *dim, enum isl_dim_type type)
1563 {
1564         if (type != isl_dim_in && type != isl_dim_out)
1565                 return 0;
1566         if (!dim)
1567                 return -1;
1568         if (dim->tuple_id[type - isl_dim_in])
1569                 return 1;
1570         if (dim->nested[type - isl_dim_in])
1571                 return 1;
1572         return 0;
1573 }
1574
1575 int isl_space_may_be_set(__isl_keep isl_space *dim)
1576 {
1577         if (!dim)
1578                 return -1;
1579         if (isl_space_is_set(dim))
1580                 return 1;
1581         if (isl_space_dim(dim, isl_dim_in) != 0)
1582                 return 0;
1583         if (isl_space_is_named_or_nested(dim, isl_dim_in))
1584                 return 0;
1585         return 1;
1586 }
1587
1588 __isl_give isl_space *isl_space_reset(__isl_take isl_space *dim,
1589         enum isl_dim_type type)
1590 {
1591         if (!isl_space_is_named_or_nested(dim, type))
1592                 return dim;
1593
1594         dim = isl_space_cow(dim);
1595         if (!dim)
1596                 return NULL;
1597
1598         isl_id_free(dim->tuple_id[type - isl_dim_in]);
1599         dim->tuple_id[type - isl_dim_in] = NULL;
1600         isl_space_free(dim->nested[type - isl_dim_in]);
1601         dim->nested[type - isl_dim_in] = NULL;
1602
1603         return dim;
1604 }
1605
1606 __isl_give isl_space *isl_space_flatten(__isl_take isl_space *dim)
1607 {
1608         if (!dim)
1609                 return NULL;
1610         if (!dim->nested[0] && !dim->nested[1])
1611                 return dim;
1612
1613         if (dim->nested[0])
1614                 dim = isl_space_reset(dim, isl_dim_in);
1615         if (dim && dim->nested[1])
1616                 dim = isl_space_reset(dim, isl_dim_out);
1617
1618         return dim;
1619 }
1620
1621 __isl_give isl_space *isl_space_flatten_domain(__isl_take isl_space *dim)
1622 {
1623         if (!dim)
1624                 return NULL;
1625         if (!dim->nested[0])
1626                 return dim;
1627
1628         return isl_space_reset(dim, isl_dim_in);
1629 }
1630
1631 __isl_give isl_space *isl_space_flatten_range(__isl_take isl_space *dim)
1632 {
1633         if (!dim)
1634                 return NULL;
1635         if (!dim->nested[1])
1636                 return dim;
1637
1638         return isl_space_reset(dim, isl_dim_out);
1639 }
1640
1641 /* Replace the dimensions of the given type of dst by those of src.
1642  */
1643 __isl_give isl_space *isl_space_replace(__isl_take isl_space *dst,
1644         enum isl_dim_type type, __isl_keep isl_space *src)
1645 {
1646         dst = isl_space_cow(dst);
1647
1648         if (!dst || !src)
1649                 goto error;
1650
1651         dst = isl_space_drop_dims(dst, type, 0, isl_space_dim(dst, type));
1652         dst = isl_space_add_dims(dst, type, isl_space_dim(src, type));
1653         dst = copy_ids(dst, type, 0, src, type);
1654
1655         if (dst && type == isl_dim_param) {
1656                 int i;
1657                 for (i = 0; i <= 1; ++i) {
1658                         if (!dst->nested[i])
1659                                 continue;
1660                         dst->nested[i] = isl_space_replace(dst->nested[i],
1661                                                          type, src);
1662                         if (!dst->nested[i])
1663                                 goto error;
1664                 }
1665         }
1666
1667         return dst;
1668 error:
1669         isl_space_free(dst);
1670         return NULL;
1671 }
1672
1673 /* Given a dimension specification "dim" of a set, create a dimension
1674  * specification for the lift of the set.  In particular, the result
1675  * is of the form [dim -> local[..]], with n_local variables in the
1676  * range of the wrapped map.
1677  */
1678 __isl_give isl_space *isl_space_lift(__isl_take isl_space *dim, unsigned n_local)
1679 {
1680         isl_space *local_dim;
1681
1682         if (!dim)
1683                 return NULL;
1684
1685         local_dim = isl_space_dup(dim);
1686         local_dim = isl_space_drop_dims(local_dim, isl_dim_set, 0, dim->n_out);
1687         local_dim = isl_space_add_dims(local_dim, isl_dim_set, n_local);
1688         local_dim = isl_space_set_tuple_name(local_dim, isl_dim_set, "local");
1689         dim = isl_space_join(isl_space_from_domain(dim),
1690                             isl_space_from_range(local_dim));
1691         dim = isl_space_wrap(dim);
1692         dim = isl_space_set_tuple_name(dim, isl_dim_set, "lifted");
1693
1694         return dim;
1695 }
1696
1697 int isl_space_can_zip(__isl_keep isl_space *dim)
1698 {
1699         if (!dim)
1700                 return -1;
1701
1702         return dim->nested[0] && dim->nested[1];
1703 }
1704
1705 __isl_give isl_space *isl_space_zip(__isl_take isl_space *dim)
1706 {
1707         isl_space *dom, *ran;
1708         isl_space *dom_dom, *dom_ran, *ran_dom, *ran_ran;
1709
1710         if (!isl_space_can_zip(dim))
1711                 isl_die(dim->ctx, isl_error_invalid, "dim cannot be zipped",
1712                         goto error);
1713
1714         if (!dim)
1715                 return NULL;
1716         dom = isl_space_unwrap(isl_space_domain(isl_space_copy(dim)));
1717         ran = isl_space_unwrap(isl_space_range(dim));
1718         dom_dom = isl_space_domain(isl_space_copy(dom));
1719         dom_ran = isl_space_range(dom);
1720         ran_dom = isl_space_domain(isl_space_copy(ran));
1721         ran_ran = isl_space_range(ran);
1722         dom = isl_space_join(isl_space_from_domain(dom_dom),
1723                            isl_space_from_range(ran_dom));
1724         ran = isl_space_join(isl_space_from_domain(dom_ran),
1725                            isl_space_from_range(ran_ran));
1726         return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
1727                             isl_space_from_range(isl_space_wrap(ran)));
1728 error:
1729         isl_space_free(dim);
1730         return NULL;
1731 }
1732
1733 /* Can we apply isl_space_curry to "space"?
1734  * That is, does it have a nested relation in its domain?
1735  */
1736 int isl_space_can_curry(__isl_keep isl_space *space)
1737 {
1738         if (!space)
1739                 return -1;
1740
1741         return !!space->nested[0];
1742 }
1743
1744 /* Given a space (A -> B) -> C, return the corresponding space
1745  * A -> (B -> C).
1746  */
1747 __isl_give isl_space *isl_space_curry(__isl_take isl_space *space)
1748 {
1749         isl_space *dom, *ran;
1750         isl_space *dom_dom, *dom_ran;
1751
1752         if (!space)
1753                 return NULL;
1754
1755         if (!isl_space_can_curry(space))
1756                 isl_die(space->ctx, isl_error_invalid,
1757                         "space cannot be curried", goto error);
1758
1759         dom = isl_space_unwrap(isl_space_domain(isl_space_copy(space)));
1760         ran = isl_space_range(space);
1761         dom_dom = isl_space_domain(isl_space_copy(dom));
1762         dom_ran = isl_space_range(dom);
1763         ran = isl_space_join(isl_space_from_domain(dom_ran),
1764                            isl_space_from_range(ran));
1765         return isl_space_join(isl_space_from_domain(dom_dom),
1766                             isl_space_from_range(isl_space_wrap(ran)));
1767 error:
1768         isl_space_free(space);
1769         return NULL;
1770 }
1771
1772 int isl_space_has_named_params(__isl_keep isl_space *dim)
1773 {
1774         int i;
1775         unsigned off;
1776
1777         if (!dim)
1778                 return -1;
1779         if (dim->nparam == 0)
1780                 return 1;
1781         off = isl_space_offset(dim, isl_dim_param);
1782         if (off + dim->nparam > dim->n_id)
1783                 return 0;
1784         for (i = 0; i < dim->nparam; ++i)
1785                 if (!dim->ids[off + i])
1786                         return 0;
1787         return 1;
1788 }
1789
1790 /* Align the initial parameters of dim1 to match the order in dim2.
1791  */
1792 __isl_give isl_space *isl_space_align_params(__isl_take isl_space *dim1,
1793         __isl_take isl_space *dim2)
1794 {
1795         isl_reordering *exp;
1796
1797         if (!isl_space_has_named_params(dim1) || !isl_space_has_named_params(dim2))
1798                 isl_die(isl_space_get_ctx(dim1), isl_error_invalid,
1799                         "parameter alignment requires named parameters",
1800                         goto error);
1801
1802         dim2 = isl_space_params(dim2);
1803         exp = isl_parameter_alignment_reordering(dim1, dim2);
1804         exp = isl_reordering_extend_space(exp, dim1);
1805         isl_space_free(dim2);
1806         if (!exp)
1807                 return NULL;
1808         dim1 = isl_space_copy(exp->dim);
1809         isl_reordering_free(exp);
1810         return dim1;
1811 error:
1812         isl_space_free(dim1);
1813         isl_space_free(dim2);
1814         return NULL;
1815 }
1816
1817 /* Given the space of set (domain), construct a space for a map
1818  * with as domain the given space and as range the range of "model".
1819  */
1820 __isl_give isl_space *isl_space_extend_domain_with_range(
1821         __isl_take isl_space *domain, __isl_take isl_space *model)
1822 {
1823         isl_space *space;
1824
1825         space = isl_space_from_domain(domain);
1826         space = isl_space_add_dims(space, isl_dim_out,
1827                                     isl_space_dim(model, isl_dim_out));
1828         if (isl_space_has_tuple_id(model, isl_dim_out))
1829                 space = isl_space_set_tuple_id(space, isl_dim_out,
1830                                 isl_space_get_tuple_id(model, isl_dim_out));
1831         isl_space_free(model);
1832         return space;
1833 }