isl_point.c

   1 #include <isl_map_private.h>
   2 #include <isl_point_private.h>
   3 #include <isl/set.h>
   4 #include <isl/union_set.h>
   5 #include <isl_sample.h>
   6 #include <isl_scan.h>
   7 #include <isl_seq.h>
   8 #include <isl_space_private.h>
   9 #include <isl_local_private.h>
  10 #include <isl_val_private.h>
  11 #include <isl_vec_private.h>
  12 #include <isl_output_private.h>
  13
  14 #include <set_to_map.c>
  15
  16 isl_ctx *isl_point_get_ctx(__isl_keep isl_point *pnt)
  17 {
  18         return pnt ? isl_space_get_ctx(pnt->dim) : NULL;
  19 }
  20
  21 /* Return the space of "pnt".
  22  */
  23 __isl_keep isl_space *isl_point_peek_space(__isl_keep isl_point *pnt)
  24 {
  25         return pnt ? pnt->dim : NULL;
  26 }
  27
  28 __isl_give isl_space *isl_point_get_space(__isl_keep isl_point *pnt)
  29 {
  30         return isl_space_copy(isl_point_peek_space(pnt));
  31 }
  32
  33 __isl_give isl_point *isl_point_alloc(__isl_take isl_space *space,
  34         __isl_take isl_vec *vec)
  35 {
  36         struct isl_point *pnt;
  37
  38         if (!space || !vec)
  39                 goto error;
  40
  41         if (vec->size > 1 + isl_space_dim(space, isl_dim_all)) {
  42                 vec = isl_vec_cow(vec);
  43                 if (!vec)
  44                         goto error;
  45                 vec->size = 1 + isl_space_dim(space, isl_dim_all);
  46         }
  47
  48         pnt = isl_alloc_type(space->ctx, struct isl_point);
  49         if (!pnt)
  50                 goto error;
  51
  52         pnt->ref = 1;
  53         pnt->dim = space;
  54         pnt->vec = vec;
  55
  56         return pnt;
  57 error:
  58         isl_space_free(space);
  59         isl_vec_free(vec);
  60         return NULL;
  61 }
  62
  63 __isl_give isl_point *isl_point_zero(__isl_take isl_space *space)
  64 {
  65         isl_vec *vec;
  66
  67         if (!space)
  68                 return NULL;
  69         vec = isl_vec_alloc(space->ctx, 1 + isl_space_dim(space, isl_dim_all));
  70         if (!vec)
  71                 goto error;
  72         isl_int_set_si(vec->el[0], 1);
  73         isl_seq_clr(vec->el + 1, vec->size - 1);
  74         return isl_point_alloc(space, vec);
  75 error:
  76         isl_space_free(space);
  77         return NULL;
  78 }
  79
  80 __isl_give isl_point *isl_point_dup(__isl_keep isl_point *pnt)
  81 {
  82         struct isl_point *pnt2;
  83
  84         if (!pnt)
  85                 return NULL;
  86         pnt2 = isl_point_alloc(isl_space_copy(pnt->dim), isl_vec_copy(pnt->vec));
  87         return pnt2;
  88 }
  89
  90 __isl_give isl_point *isl_point_cow(__isl_take isl_point *pnt)
  91 {
  92         struct isl_point *pnt2;
  93         if (!pnt)
  94                 return NULL;
  95
  96         if (pnt->ref == 1)
  97                 return pnt;
  98
  99         pnt2 = isl_point_dup(pnt);
 100         isl_point_free(pnt);
 101         return pnt2;
 102 }
 103
 104 __isl_give isl_point *isl_point_copy(__isl_keep isl_point *pnt)
 105 {
 106         if (!pnt)
 107                 return NULL;
 108
 109         pnt->ref++;
 110         return pnt;
 111 }
 112
 113 __isl_null isl_point *isl_point_free(__isl_take isl_point *pnt)
 114 {
 115         if (!pnt)
 116                 return NULL;
 117
 118         if (--pnt->ref > 0)
 119                 return NULL;
 120
 121         isl_space_free(pnt->dim);
 122         isl_vec_free(pnt->vec);
 123         free(pnt);
 124         return NULL;
 125 }
 126
 127 __isl_give isl_point *isl_point_void(__isl_take isl_space *space)
 128 {
 129         if (!space)
 130                 return NULL;
 131
 132         return isl_point_alloc(space, isl_vec_alloc(space->ctx, 0));
 133 }
 134
 135 isl_bool isl_point_is_void(__isl_keep isl_point *pnt)
 136 {
 137         if (!pnt)
 138                 return isl_bool_error;
 139
 140         return pnt->vec->size == 0;
 141 }
 142
 143 /* Return the space of "pnt".
 144  * This may be either a copy or the space itself
 145  * if there is only one reference to "pnt".
 146  * This allows the space to be modified inplace
 147  * if both the point and its space have only a single reference.
 148  * The caller is not allowed to modify "pnt" between this call and
 149  * a subsequent call to isl_point_restore_space.
 150  * The only exception is that isl_point_free can be called instead.
 151  */
 152 __isl_give isl_space *isl_point_take_space(__isl_keep isl_point *pnt)
 153 {
 154         isl_space *space;
 155
 156         if (!pnt)
 157                 return NULL;
 158         if (pnt->ref != 1)
 159                 return isl_point_get_space(pnt);
 160         space = pnt->dim;
 161         pnt->dim = NULL;
 162         return space;
 163 }
 164
 165 /* Set the space of "pnt" to "space", where the space of "pnt" may be missing
 166  * due to a preceding call to isl_point_take_space.
 167  * However, in this case, "pnt" only has a single reference and
 168  * then the call to isl_point_cow has no effect.
 169  */
 170 __isl_give isl_point *isl_point_restore_space(__isl_take isl_point *pnt,
 171         __isl_take isl_space *space)
 172 {
 173         if (!pnt || !space)
 174                 goto error;
 175
 176         if (pnt->dim == space) {
 177                 isl_space_free(space);
 178                 return pnt;
 179         }
 180
 181         pnt = isl_point_cow(pnt);
 182         if (!pnt)
 183                 goto error;
 184         isl_space_free(pnt->dim);
 185         pnt->dim = space;
 186
 187         return pnt;
 188 error:
 189         isl_point_free(pnt);
 190         isl_space_free(space);
 191         return NULL;
 192 }
 193
 194 /* Return the coordinate vector of "pnt".
 195  */
 196 __isl_keep isl_vec *isl_point_peek_vec(__isl_keep isl_point *pnt)
 197 {
 198         return pnt ? pnt->vec : NULL;
 199 }
 200
 201 /* Return a copy of the coordinate vector of "pnt".
 202  */
 203 __isl_give isl_vec *isl_point_get_vec(__isl_keep isl_point *pnt)
 204 {
 205         return isl_vec_copy(isl_point_peek_vec(pnt));
 206 }
 207
 208 /* Return the coordinate vector of "pnt".
 209  * This may be either a copy or the coordinate vector itself
 210  * if there is only one reference to "pnt".
 211  * This allows the coordinate vector to be modified inplace
 212  * if both the point and its coordinate vector have only a single reference.
 213  * The caller is not allowed to modify "pnt" between this call and
 214  * a subsequent call to isl_point_restore_vec.
 215  * The only exception is that isl_point_free can be called instead.
 216  */
 217 __isl_give isl_vec *isl_point_take_vec(__isl_keep isl_point *pnt)
 218 {
 219         isl_vec *vec;
 220
 221         if (!pnt)
 222                 return NULL;
 223         if (pnt->ref != 1)
 224                 return isl_point_get_vec(pnt);
 225         vec = pnt->vec;
 226         pnt->vec = NULL;
 227         return vec;
 228 }
 229
 230 /* Set the coordinate vector of "pnt" to "vec",
 231  * where the coordinate vector of "pnt" may be missing
 232  * due to a preceding call to isl_point_take_vec.
 233  * However, in this case, "pnt" only has a single reference and
 234  * then the call to isl_point_cow has no effect.
 235  */
 236 __isl_give isl_point *isl_point_restore_vec(__isl_take isl_point *pnt,
 237         __isl_take isl_vec *vec)
 238 {
 239         if (!pnt || !vec)
 240                 goto error;
 241
 242         if (pnt->vec == vec) {
 243                 isl_vec_free(vec);
 244                 return pnt;
 245         }
 246
 247         pnt = isl_point_cow(pnt);
 248         if (!pnt)
 249                 goto error;
 250         isl_vec_free(pnt->vec);
 251         pnt->vec = vec;
 252
 253         return pnt;
 254 error:
 255         isl_point_free(pnt);
 256         isl_vec_free(vec);
 257         return NULL;
 258 }
 259
 260 /* Return the value of coordinate "pos" of type "type" of "pnt".
 261  */
 262 __isl_give isl_val *isl_point_get_coordinate_val(__isl_keep isl_point *pnt,
 263         enum isl_dim_type type, int pos)
 264 {
 265         isl_ctx *ctx;
 266         isl_val *v;
 267
 268         if (!pnt)
 269                 return NULL;
 270
 271         ctx = isl_point_get_ctx(pnt);
 272         if (isl_point_is_void(pnt))
 273                 isl_die(ctx, isl_error_invalid,
 274                         "void point does not have coordinates", return NULL);
 275         if (pos < 0 || pos >= isl_space_dim(pnt->dim, type))
 276                 isl_die(ctx, isl_error_invalid,
 277                         "position out of bounds", return NULL);
 278
 279         if (type == isl_dim_set)
 280                 pos += isl_space_dim(pnt->dim, isl_dim_param);
 281
 282         v = isl_val_rat_from_isl_int(ctx, pnt->vec->el[1 + pos],
 283                                                 pnt->vec->el[0]);
 284         return isl_val_normalize(v);
 285 }
 286
 287 /* Replace coordinate "pos" of type "type" of "pnt" by "v".
 288  */
 289 __isl_give isl_point *isl_point_set_coordinate_val(__isl_take isl_point *pnt,
 290         enum isl_dim_type type, int pos, __isl_take isl_val *v)
 291 {
 292         if (!pnt || !v)
 293                 goto error;
 294         if (isl_point_is_void(pnt))
 295                 isl_die(isl_point_get_ctx(pnt), isl_error_invalid,
 296                         "void point does not have coordinates", goto error);
 297         if (pos < 0 || pos >= isl_space_dim(pnt->dim, type))
 298                 isl_die(isl_point_get_ctx(pnt), isl_error_invalid,
 299                         "position out of bounds", goto error);
 300         if (!isl_val_is_rat(v))
 301                 isl_die(isl_point_get_ctx(pnt), isl_error_invalid,
 302                         "expecting rational value", goto error);
 303
 304         if (isl_int_eq(pnt->vec->el[1 + pos], v->n) &&
 305             isl_int_eq(pnt->vec->el[0], v->d)) {
 306                 isl_val_free(v);
 307                 return pnt;
 308         }
 309
 310         pnt = isl_point_cow(pnt);
 311         if (!pnt)
 312                 goto error;
 313         pnt->vec = isl_vec_cow(pnt->vec);
 314         if (!pnt->vec)
 315                 goto error;
 316
 317         if (isl_int_eq(pnt->vec->el[0], v->d)) {
 318                 isl_int_set(pnt->vec->el[1 + pos], v->n);
 319         } else if (isl_int_is_one(v->d)) {
 320                 isl_int_mul(pnt->vec->el[1 + pos], pnt->vec->el[0], v->n);
 321         } else {
 322                 isl_seq_scale(pnt->vec->el + 1,
 323                                 pnt->vec->el + 1, v->d, pnt->vec->size - 1);
 324                 isl_int_mul(pnt->vec->el[1 + pos], pnt->vec->el[0], v->n);
 325                 isl_int_mul(pnt->vec->el[0], pnt->vec->el[0], v->d);
 326                 pnt->vec = isl_vec_normalize(pnt->vec);
 327                 if (!pnt->vec)
 328                         goto error;
 329         }
 330
 331         isl_val_free(v);
 332         return pnt;
 333 error:
 334         isl_val_free(v);
 335         isl_point_free(pnt);
 336         return NULL;
 337 }
 338
 339 __isl_give isl_point *isl_point_add_ui(__isl_take isl_point *pnt,
 340         enum isl_dim_type type, int pos, unsigned val)
 341 {
 342         if (!pnt || isl_point_is_void(pnt))
 343                 return pnt;
 344
 345         pnt = isl_point_cow(pnt);
 346         if (!pnt)
 347                 return NULL;
 348         pnt->vec = isl_vec_cow(pnt->vec);
 349         if (!pnt->vec)
 350                 goto error;
 351
 352         if (type == isl_dim_set)
 353                 pos += isl_space_dim(pnt->dim, isl_dim_param);
 354
 355         isl_int_add_ui(pnt->vec->el[1 + pos], pnt->vec->el[1 + pos], val);
 356
 357         return pnt;
 358 error:
 359         isl_point_free(pnt);
 360         return NULL;
 361 }
 362
 363 __isl_give isl_point *isl_point_sub_ui(__isl_take isl_point *pnt,
 364         enum isl_dim_type type, int pos, unsigned val)
 365 {
 366         if (!pnt || isl_point_is_void(pnt))
 367                 return pnt;
 368
 369         pnt = isl_point_cow(pnt);
 370         if (!pnt)
 371                 return NULL;
 372         pnt->vec = isl_vec_cow(pnt->vec);
 373         if (!pnt->vec)
 374                 goto error;
 375
 376         if (type == isl_dim_set)
 377                 pos += isl_space_dim(pnt->dim, isl_dim_param);
 378
 379         isl_int_sub_ui(pnt->vec->el[1 + pos], pnt->vec->el[1 + pos], val);
 380
 381         return pnt;
 382 error:
 383         isl_point_free(pnt);
 384         return NULL;
 385 }
 386
 387 struct isl_foreach_point {
 388         struct isl_scan_callback callback;
 389         isl_stat (*fn)(__isl_take isl_point *pnt, void *user);
 390         void *user;
 391         isl_space *dim;
 392 };
 393
 394 static isl_stat foreach_point(struct isl_scan_callback *cb,
 395         __isl_take isl_vec *sample)
 396 {
 397         struct isl_foreach_point *fp = (struct isl_foreach_point *)cb;
 398         isl_point *pnt;
 399
 400         pnt = isl_point_alloc(isl_space_copy(fp->dim), sample);
 401
 402         return fp->fn(pnt, fp->user);
 403 }
 404
 405 isl_stat isl_set_foreach_point(__isl_keep isl_set *set,
 406         isl_stat (*fn)(__isl_take isl_point *pnt, void *user), void *user)
 407 {
 408         struct isl_foreach_point fp = { { &foreach_point }, fn, user };
 409         int i;
 410
 411         if (!set)
 412                 return isl_stat_error;
 413
 414         fp.dim = isl_set_get_space(set);
 415         if (!fp.dim)
 416                 return isl_stat_error;
 417
 418         set = isl_set_copy(set);
 419         set = isl_set_cow(set);
 420         set = isl_set_make_disjoint(set);
 421         set = isl_set_compute_divs(set);
 422         if (!set)
 423                 goto error;
 424
 425         for (i = 0; i < set->n; ++i)
 426                 if (isl_basic_set_scan(isl_basic_set_copy(set->p[i]),
 427                                         &fp.callback) < 0)
 428                         goto error;
 429
 430         isl_set_free(set);
 431         isl_space_free(fp.dim);
 432
 433         return isl_stat_ok;
 434 error:
 435         isl_set_free(set);
 436         isl_space_free(fp.dim);
 437         return isl_stat_error;
 438 }
 439
 440 /* Return 1 if "bmap" contains the point "point".
 441  * "bmap" is assumed to have known divs.
 442  * The point is first extended with the divs and then passed
 443  * to basic_map_contains.
 444  */
 445 isl_bool isl_basic_map_contains_point(__isl_keep isl_basic_map *bmap,
 446         __isl_keep isl_point *point)
 447 {
 448         isl_local *local;
 449         isl_vec *vec;
 450         isl_bool contains;
 451
 452         if (!bmap || !point)
 453                 return isl_bool_error;
 454         isl_assert(bmap->ctx, isl_space_is_equal(bmap->dim, point->dim),
 455                 return isl_bool_error);
 456         if (bmap->n_div == 0)
 457                 return isl_basic_map_contains(bmap, point->vec);
 458
 459         local = isl_local_alloc_from_mat(isl_basic_map_get_divs(bmap));
 460         vec = isl_point_get_vec(point);
 461         vec = isl_local_extend_point_vec(local, vec);
 462         isl_local_free(local);
 463
 464         contains = isl_basic_map_contains(bmap, vec);
 465
 466         isl_vec_free(vec);
 467         return contains;
 468 }
 469
 470 isl_bool isl_map_contains_point(__isl_keep isl_map *map,
 471         __isl_keep isl_point *point)
 472 {
 473         int i;
 474         isl_bool found = isl_bool_false;
 475
 476         if (!map || !point)
 477                 return isl_bool_error;
 478
 479         map = isl_map_copy(map);
 480         map = isl_map_compute_divs(map);
 481         if (!map)
 482                 return isl_bool_error;
 483
 484         for (i = 0; i < map->n; ++i) {
 485                 found = isl_basic_map_contains_point(map->p[i], point);
 486                 if (found < 0)
 487                         goto error;
 488                 if (found)
 489                         break;
 490         }
 491         isl_map_free(map);
 492
 493         return found;
 494 error:
 495         isl_map_free(map);
 496         return isl_bool_error;
 497 }
 498
 499 isl_bool isl_set_contains_point(__isl_keep isl_set *set,
 500         __isl_keep isl_point *point)
 501 {
 502         return isl_map_contains_point(set_to_map(set), point);
 503 }
 504
 505 __isl_give isl_basic_set *isl_basic_set_from_point(__isl_take isl_point *pnt)
 506 {
 507         isl_basic_set *bset;
 508         isl_basic_set *model;
 509
 510         if (!pnt)
 511                 return NULL;
 512
 513         model = isl_basic_set_empty(isl_space_copy(pnt->dim));
 514         bset = isl_basic_set_from_vec(isl_vec_copy(pnt->vec));
 515         bset = isl_basic_set_from_underlying_set(bset, model);
 516         isl_point_free(pnt);
 517
 518         return bset;
 519 }
 520
 521 __isl_give isl_set *isl_set_from_point(__isl_take isl_point *pnt)
 522 {
 523         isl_basic_set *bset;
 524         bset = isl_basic_set_from_point(pnt);
 525         return isl_set_from_basic_set(bset);
 526 }
 527
 528 /* Construct a union set, containing the single element "pnt".
 529  * If "pnt" is void, then return an empty union set.
 530  */
 531 __isl_give isl_union_set *isl_union_set_from_point(__isl_take isl_point *pnt)
 532 {
 533         if (!pnt)
 534                 return NULL;
 535         if (isl_point_is_void(pnt)) {
 536                 isl_space *space;
 537
 538                 space = isl_point_get_space(pnt);
 539                 isl_point_free(pnt);
 540                 return isl_union_set_empty(space);
 541         }
 542
 543         return isl_union_set_from_set(isl_set_from_point(pnt));
 544 }
 545
 546 __isl_give isl_basic_set *isl_basic_set_box_from_points(
 547         __isl_take isl_point *pnt1, __isl_take isl_point *pnt2)
 548 {
 549         isl_basic_set *bset = NULL;
 550         unsigned total;
 551         int i;
 552         int k;
 553         isl_int t;
 554
 555         isl_int_init(t);
 556
 557         if (!pnt1 || !pnt2)
 558                 goto error;
 559
 560         isl_assert(pnt1->dim->ctx,
 561                         isl_space_is_equal(pnt1->dim, pnt2->dim), goto error);
 562
 563         if (isl_point_is_void(pnt1) && isl_point_is_void(pnt2)) {
 564                 isl_space *dim = isl_space_copy(pnt1->dim);
 565                 isl_point_free(pnt1);
 566                 isl_point_free(pnt2);
 567                 isl_int_clear(t);
 568                 return isl_basic_set_empty(dim);
 569         }
 570         if (isl_point_is_void(pnt1)) {
 571                 isl_point_free(pnt1);
 572                 isl_int_clear(t);
 573                 return isl_basic_set_from_point(pnt2);
 574         }
 575         if (isl_point_is_void(pnt2)) {
 576                 isl_point_free(pnt2);
 577                 isl_int_clear(t);
 578                 return isl_basic_set_from_point(pnt1);
 579         }
 580
 581         total = isl_space_dim(pnt1->dim, isl_dim_all);
 582         bset = isl_basic_set_alloc_space(isl_space_copy(pnt1->dim), 0, 0, 2 * total);
 583
 584         for (i = 0; i < total; ++i) {
 585                 isl_int_mul(t, pnt1->vec->el[1 + i], pnt2->vec->el[0]);
 586                 isl_int_submul(t, pnt2->vec->el[1 + i], pnt1->vec->el[0]);
 587
 588                 k = isl_basic_set_alloc_inequality(bset);
 589                 if (k < 0)
 590                         goto error;
 591                 isl_seq_clr(bset->ineq[k] + 1, total);
 592                 if (isl_int_is_pos(t)) {
 593                         isl_int_set_si(bset->ineq[k][1 + i], -1);
 594                         isl_int_set(bset->ineq[k][0], pnt1->vec->el[1 + i]);
 595                 } else {
 596                         isl_int_set_si(bset->ineq[k][1 + i], 1);
 597                         isl_int_neg(bset->ineq[k][0], pnt1->vec->el[1 + i]);
 598                 }
 599                 isl_int_fdiv_q(bset->ineq[k][0], bset->ineq[k][0], pnt1->vec->el[0]);
 600
 601                 k = isl_basic_set_alloc_inequality(bset);
 602                 if (k < 0)
 603                         goto error;
 604                 isl_seq_clr(bset->ineq[k] + 1, total);
 605                 if (isl_int_is_pos(t)) {
 606                         isl_int_set_si(bset->ineq[k][1 + i], 1);
 607                         isl_int_neg(bset->ineq[k][0], pnt2->vec->el[1 + i]);
 608                 } else {
 609                         isl_int_set_si(bset->ineq[k][1 + i], -1);
 610                         isl_int_set(bset->ineq[k][0], pnt2->vec->el[1 + i]);
 611                 }
 612                 isl_int_fdiv_q(bset->ineq[k][0], bset->ineq[k][0], pnt2->vec->el[0]);
 613         }
 614
 615         bset = isl_basic_set_finalize(bset);
 616
 617         isl_point_free(pnt1);
 618         isl_point_free(pnt2);
 619
 620         isl_int_clear(t);
 621
 622         return bset;
 623 error:
 624         isl_point_free(pnt1);
 625         isl_point_free(pnt2);
 626         isl_int_clear(t);
 627         isl_basic_set_free(bset);
 628         return NULL;
 629 }
 630
 631 __isl_give isl_set *isl_set_box_from_points(__isl_take isl_point *pnt1,
 632         __isl_take isl_point *pnt2)
 633 {
 634         isl_basic_set *bset;
 635         bset = isl_basic_set_box_from_points(pnt1, pnt2);
 636         return isl_set_from_basic_set(bset);
 637 }
 638
 639 /* Print the coordinate at position "pos" of the point "pnt".
 640  */
 641 static __isl_give isl_printer *print_coordinate(__isl_take isl_printer *p,
 642         struct isl_print_space_data *data, unsigned pos)
 643 {
 644         isl_point *pnt = data->user;
 645
 646         p = isl_printer_print_isl_int(p, pnt->vec->el[1 + pos]);
 647         if (!isl_int_is_one(pnt->vec->el[0])) {
 648                 p = isl_printer_print_str(p, "/");
 649                 p = isl_printer_print_isl_int(p, pnt->vec->el[0]);
 650         }
 651
 652         return p;
 653 }
 654
 655 __isl_give isl_printer *isl_printer_print_point(
 656         __isl_take isl_printer *p, __isl_keep isl_point *pnt)
 657 {
 658         struct isl_print_space_data data = { 0 };
 659         int i;
 660         unsigned nparam;
 661
 662         if (!pnt)
 663                 return p;
 664         if (isl_point_is_void(pnt)) {
 665                 p = isl_printer_print_str(p, "void");
 666                 return p;
 667         }
 668
 669         nparam = isl_space_dim(pnt->dim, isl_dim_param);
 670         if (nparam > 0) {
 671                 p = isl_printer_print_str(p, "[");
 672                 for (i = 0; i < nparam; ++i) {
 673                         const char *name;
 674                         if (i)
 675                                 p = isl_printer_print_str(p, ", ");
 676                         name = isl_space_get_dim_name(pnt->dim, isl_dim_param, i);
 677                         if (name) {
 678                                 p = isl_printer_print_str(p, name);
 679                                 p = isl_printer_print_str(p, " = ");
 680                         }
 681                         p = isl_printer_print_isl_int(p, pnt->vec->el[1 + i]);
 682                         if (!isl_int_is_one(pnt->vec->el[0])) {
 683                                 p = isl_printer_print_str(p, "/");
 684                                 p = isl_printer_print_isl_int(p, pnt->vec->el[0]);
 685                         }
 686                 }
 687                 p = isl_printer_print_str(p, "]");
 688                 p = isl_printer_print_str(p, " -> ");
 689         }
 690         data.print_dim = &print_coordinate;
 691         data.user = pnt;
 692         p = isl_printer_print_str(p, "{ ");
 693         p = isl_print_space(pnt->dim, p, 0, &data);
 694         p = isl_printer_print_str(p, " }");
 695         return p;
 696 }