isl_point.c

   1 #include <isl_map_private.h>
   2 #include <isl_point_private.h>
   3 #include <isl/set.h>
   4 #include <isl_sample.h>
   5 #include <isl_scan.h>
   6 #include <isl_seq.h>
   7 #include <isl_space_private.h>
   8 #include <isl_val_private.h>
   9 #include <isl_vec_private.h>
  10 #include <isl/deprecated/point_int.h>
  11
  12 isl_ctx *isl_point_get_ctx(__isl_keep isl_point *pnt)
  13 {
  14         return pnt ? isl_space_get_ctx(pnt->dim) : NULL;
  15 }
  16
  17 __isl_give isl_space *isl_point_get_space(__isl_keep isl_point *pnt)
  18 {
  19         return pnt ? isl_space_copy(pnt->dim) : NULL;
  20 }
  21
  22 __isl_give isl_point *isl_point_alloc(__isl_take isl_space *dim,
  23         __isl_take isl_vec *vec)
  24 {
  25         struct isl_point *pnt;
  26
  27         if (!dim || !vec)
  28                 goto error;
  29
  30         if (vec->size > 1 + isl_space_dim(dim, isl_dim_all)) {
  31                 vec = isl_vec_cow(vec);
  32                 if (!vec)
  33                         goto error;
  34                 vec->size = 1 + isl_space_dim(dim, isl_dim_all);
  35         }
  36
  37         pnt = isl_alloc_type(dim->ctx, struct isl_point);
  38         if (!pnt)
  39                 goto error;
  40
  41         pnt->ref = 1;
  42         pnt->dim = dim;
  43         pnt->vec = vec;
  44
  45         return pnt;
  46 error:
  47         isl_space_free(dim);
  48         isl_vec_free(vec);
  49         return NULL;
  50 }
  51
  52 __isl_give isl_point *isl_point_zero(__isl_take isl_space *dim)
  53 {
  54         isl_vec *vec;
  55
  56         if (!dim)
  57                 return NULL;
  58         vec = isl_vec_alloc(dim->ctx, 1 + isl_space_dim(dim, isl_dim_all));
  59         if (!vec)
  60                 goto error;
  61         isl_int_set_si(vec->el[0], 1);
  62         isl_seq_clr(vec->el + 1, vec->size - 1);
  63         return isl_point_alloc(dim, vec);
  64 error:
  65         isl_space_free(dim);
  66         return NULL;
  67 }
  68
  69 __isl_give isl_point *isl_point_dup(__isl_keep isl_point *pnt)
  70 {
  71         struct isl_point *pnt2;
  72
  73         if (!pnt)
  74                 return NULL;
  75         pnt2 = isl_point_alloc(isl_space_copy(pnt->dim), isl_vec_copy(pnt->vec));
  76         return pnt2;
  77 }
  78
  79 __isl_give isl_point *isl_point_cow(__isl_take isl_point *pnt)
  80 {
  81         struct isl_point *pnt2;
  82         if (!pnt)
  83                 return NULL;
  84
  85         if (pnt->ref == 1)
  86                 return pnt;
  87
  88         pnt2 = isl_point_dup(pnt);
  89         isl_point_free(pnt);
  90         return pnt2;
  91 }
  92
  93 __isl_give isl_point *isl_point_copy(__isl_keep isl_point *pnt)
  94 {
  95         if (!pnt)
  96                 return NULL;
  97
  98         pnt->ref++;
  99         return pnt;
 100 }
 101
 102 void isl_point_free(__isl_take isl_point *pnt)
 103 {
 104         if (!pnt)
 105                 return;
 106
 107         if (--pnt->ref > 0)
 108                 return;
 109
 110         isl_space_free(pnt->dim);
 111         isl_vec_free(pnt->vec);
 112         free(pnt);
 113 }
 114
 115 __isl_give isl_point *isl_point_void(__isl_take isl_space *dim)
 116 {
 117         if (!dim)
 118                 return NULL;
 119
 120         return isl_point_alloc(dim, isl_vec_alloc(dim->ctx, 0));
 121 }
 122
 123 int isl_point_is_void(__isl_keep isl_point *pnt)
 124 {
 125         if (!pnt)
 126                 return -1;
 127
 128         return pnt->vec->size == 0;
 129 }
 130
 131 int isl_point_get_coordinate(__isl_keep isl_point *pnt,
 132         enum isl_dim_type type, int pos, isl_int *v)
 133 {
 134         if (!pnt || isl_point_is_void(pnt))
 135                 return -1;
 136
 137         if (pos < 0 || pos >= isl_space_dim(pnt->dim, type))
 138                 isl_die(isl_point_get_ctx(pnt), isl_error_invalid,
 139                         "position out of bounds", return -1);
 140
 141         if (type == isl_dim_set)
 142                 pos += isl_space_dim(pnt->dim, isl_dim_param);
 143         isl_int_set(*v, pnt->vec->el[1 + pos]);
 144
 145         return 0;
 146 }
 147
 148 /* Return the value of coordinate "pos" of type "type" of "pnt".
 149  */
 150 __isl_give isl_val *isl_point_get_coordinate_val(__isl_keep isl_point *pnt,
 151         enum isl_dim_type type, int pos)
 152 {
 153         isl_ctx *ctx;
 154         isl_val *v;
 155
 156         if (!pnt)
 157                 return NULL;
 158
 159         ctx = isl_point_get_ctx(pnt);
 160         if (isl_point_is_void(pnt))
 161                 isl_die(ctx, isl_error_invalid,
 162                         "void point does not have coordinates", return NULL);
 163         if (pos < 0 || pos >= isl_space_dim(pnt->dim, type))
 164                 isl_die(ctx, isl_error_invalid,
 165                         "position out of bounds", return NULL);
 166
 167         if (type == isl_dim_set)
 168                 pos += isl_space_dim(pnt->dim, isl_dim_param);
 169
 170         v = isl_val_rat_from_isl_int(ctx, pnt->vec->el[1 + pos],
 171                                                 pnt->vec->el[0]);
 172         return isl_val_normalize(v);
 173 }
 174
 175 __isl_give isl_point *isl_point_set_coordinate(__isl_take isl_point *pnt,
 176         enum isl_dim_type type, int pos, isl_int v)
 177 {
 178         if (!pnt || isl_point_is_void(pnt))
 179                 return pnt;
 180
 181         pnt = isl_point_cow(pnt);
 182         if (!pnt)
 183                 return NULL;
 184         pnt->vec = isl_vec_cow(pnt->vec);
 185         if (!pnt->vec)
 186                 goto error;
 187
 188         if (type == isl_dim_set)
 189                 pos += isl_space_dim(pnt->dim, isl_dim_param);
 190
 191         isl_int_set(pnt->vec->el[1 + pos], v);
 192
 193         return pnt;
 194 error:
 195         isl_point_free(pnt);
 196         return NULL;
 197 }
 198
 199 /* Replace coordinate "pos" of type "type" of "pnt" by "v".
 200  */
 201 __isl_give isl_point *isl_point_set_coordinate_val(__isl_take isl_point *pnt,
 202         enum isl_dim_type type, int pos, __isl_take isl_val *v)
 203 {
 204         if (!pnt || !v)
 205                 goto error;
 206         if (isl_point_is_void(pnt))
 207                 isl_die(isl_point_get_ctx(pnt), isl_error_invalid,
 208                         "void point does not have coordinates", goto error);
 209         if (pos < 0 || pos >= isl_space_dim(pnt->dim, type))
 210                 isl_die(isl_point_get_ctx(pnt), isl_error_invalid,
 211                         "position out of bounds", goto error);
 212         if (!isl_val_is_rat(v))
 213                 isl_die(isl_point_get_ctx(pnt), isl_error_invalid,
 214                         "expecting rational value", goto error);
 215
 216         if (isl_int_eq(pnt->vec->el[1 + pos], v->n) &&
 217             isl_int_eq(pnt->vec->el[0], v->d)) {
 218                 isl_val_free(v);
 219                 return pnt;
 220         }
 221
 222         pnt = isl_point_cow(pnt);
 223         if (!pnt)
 224                 goto error;
 225         pnt->vec = isl_vec_cow(pnt->vec);
 226         if (!pnt->vec)
 227                 goto error;
 228
 229         if (isl_int_eq(pnt->vec->el[0], v->d)) {
 230                 isl_int_set(pnt->vec->el[1 + pos], v->n);
 231         } else if (isl_int_is_one(v->d)) {
 232                 isl_int_mul(pnt->vec->el[1 + pos], pnt->vec->el[0], v->n);
 233         } else {
 234                 isl_seq_scale(pnt->vec->el + 1,
 235                                 pnt->vec->el + 1, v->d, pnt->vec->size - 1);
 236                 isl_int_mul(pnt->vec->el[1 + pos], pnt->vec->el[0], v->n);
 237                 isl_int_mul(pnt->vec->el[0], pnt->vec->el[0], v->d);
 238                 pnt->vec = isl_vec_normalize(pnt->vec);
 239                 if (!pnt->vec)
 240                         goto error;
 241         }
 242
 243         isl_val_free(v);
 244         return pnt;
 245 error:
 246         isl_val_free(v);
 247         isl_point_free(pnt);
 248         return NULL;
 249 }
 250
 251 __isl_give isl_point *isl_point_add_ui(__isl_take isl_point *pnt,
 252         enum isl_dim_type type, int pos, unsigned val)
 253 {
 254         if (!pnt || isl_point_is_void(pnt))
 255                 return pnt;
 256
 257         pnt = isl_point_cow(pnt);
 258         if (!pnt)
 259                 return NULL;
 260         pnt->vec = isl_vec_cow(pnt->vec);
 261         if (!pnt->vec)
 262                 goto error;
 263
 264         if (type == isl_dim_set)
 265                 pos += isl_space_dim(pnt->dim, isl_dim_param);
 266
 267         isl_int_add_ui(pnt->vec->el[1 + pos], pnt->vec->el[1 + pos], val);
 268
 269         return pnt;
 270 error:
 271         isl_point_free(pnt);
 272         return NULL;
 273 }
 274
 275 __isl_give isl_point *isl_point_sub_ui(__isl_take isl_point *pnt,
 276         enum isl_dim_type type, int pos, unsigned val)
 277 {
 278         if (!pnt || isl_point_is_void(pnt))
 279                 return pnt;
 280
 281         pnt = isl_point_cow(pnt);
 282         if (!pnt)
 283                 return NULL;
 284         pnt->vec = isl_vec_cow(pnt->vec);
 285         if (!pnt->vec)
 286                 goto error;
 287
 288         if (type == isl_dim_set)
 289                 pos += isl_space_dim(pnt->dim, isl_dim_param);
 290
 291         isl_int_sub_ui(pnt->vec->el[1 + pos], pnt->vec->el[1 + pos], val);
 292
 293         return pnt;
 294 error:
 295         isl_point_free(pnt);
 296         return NULL;
 297 }
 298
 299 struct isl_foreach_point {
 300         struct isl_scan_callback callback;
 301         int (*fn)(__isl_take isl_point *pnt, void *user);
 302         void *user;
 303         isl_space *dim;
 304 };
 305
 306 static int foreach_point(struct isl_scan_callback *cb, __isl_take isl_vec *sample)
 307 {
 308         struct isl_foreach_point *fp = (struct isl_foreach_point *)cb;
 309         isl_point *pnt;
 310
 311         pnt = isl_point_alloc(isl_space_copy(fp->dim), sample);
 312
 313         return fp->fn(pnt, fp->user);
 314 }
 315
 316 int isl_set_foreach_point(__isl_keep isl_set *set,
 317         int (*fn)(__isl_take isl_point *pnt, void *user), void *user)
 318 {
 319         struct isl_foreach_point fp = { { &foreach_point }, fn, user };
 320         int i;
 321
 322         if (!set)
 323                 return -1;
 324
 325         fp.dim = isl_set_get_space(set);
 326         if (!fp.dim)
 327                 return -1;
 328
 329         set = isl_set_copy(set);
 330         set = isl_set_cow(set);
 331         set = isl_set_make_disjoint(set);
 332         set = isl_set_compute_divs(set);
 333         if (!set)
 334                 goto error;
 335
 336         for (i = 0; i < set->n; ++i)
 337                 if (isl_basic_set_scan(isl_basic_set_copy(set->p[i]),
 338                                         &fp.callback) < 0)
 339                         goto error;
 340
 341         isl_set_free(set);
 342         isl_space_free(fp.dim);
 343
 344         return 0;
 345 error:
 346         isl_set_free(set);
 347         isl_space_free(fp.dim);
 348         return -1;
 349 }
 350
 351 /* Return 1 if "bmap" contains the point "point".
 352  * "bmap" is assumed to have known divs.
 353  * The point is first extended with the divs and then passed
 354  * to basic_map_contains.
 355  */
 356 int isl_basic_map_contains_point(__isl_keep isl_basic_map *bmap,
 357         __isl_keep isl_point *point)
 358 {
 359         int i;
 360         struct isl_vec *vec;
 361         unsigned dim;
 362         int contains;
 363
 364         if (!bmap || !point)
 365                 return -1;
 366         isl_assert(bmap->ctx, isl_space_is_equal(bmap->dim, point->dim), return -1);
 367         if (bmap->n_div == 0)
 368                 return isl_basic_map_contains(bmap, point->vec);
 369
 370         dim = isl_basic_map_total_dim(bmap) - bmap->n_div;
 371         vec = isl_vec_alloc(bmap->ctx, 1 + dim + bmap->n_div);
 372         if (!vec)
 373                 return -1;
 374
 375         isl_seq_cpy(vec->el, point->vec->el, point->vec->size);
 376         for (i = 0; i < bmap->n_div; ++i) {
 377                 isl_seq_inner_product(bmap->div[i] + 1, vec->el,
 378                                         1 + dim + i, &vec->el[1+dim+i]);
 379                 isl_int_fdiv_q(vec->el[1+dim+i], vec->el[1+dim+i],
 380                                 bmap->div[i][0]);
 381         }
 382
 383         contains = isl_basic_map_contains(bmap, vec);
 384
 385         isl_vec_free(vec);
 386         return contains;
 387 }
 388
 389 int isl_map_contains_point(__isl_keep isl_map *map, __isl_keep isl_point *point)
 390 {
 391         int i;
 392         int found = 0;
 393
 394         if (!map || !point)
 395                 return -1;
 396
 397         map = isl_map_copy(map);
 398         map = isl_map_compute_divs(map);
 399         if (!map)
 400                 return -1;
 401
 402         for (i = 0; i < map->n; ++i) {
 403                 found = isl_basic_map_contains_point(map->p[i], point);
 404                 if (found < 0)
 405                         goto error;
 406                 if (found)
 407                         break;
 408         }
 409         isl_map_free(map);
 410
 411         return found;
 412 error:
 413         isl_map_free(map);
 414         return -1;
 415 }
 416
 417 int isl_set_contains_point(__isl_keep isl_set *set, __isl_keep isl_point *point)
 418 {
 419         return isl_map_contains_point((isl_map *)set, point);
 420 }
 421
 422 __isl_give isl_basic_set *isl_basic_set_from_point(__isl_take isl_point *pnt)
 423 {
 424         isl_basic_set *bset;
 425         isl_basic_set *model;
 426
 427         if (!pnt)
 428                 return NULL;
 429
 430         model = isl_basic_set_empty(isl_space_copy(pnt->dim));
 431         bset = isl_basic_set_from_vec(isl_vec_copy(pnt->vec));
 432         bset = isl_basic_set_from_underlying_set(bset, model);
 433         isl_point_free(pnt);
 434
 435         return bset;
 436 }
 437
 438 __isl_give isl_set *isl_set_from_point(__isl_take isl_point *pnt)
 439 {
 440         isl_basic_set *bset;
 441         bset = isl_basic_set_from_point(pnt);
 442         return isl_set_from_basic_set(bset);
 443 }
 444
 445 __isl_give isl_basic_set *isl_basic_set_box_from_points(
 446         __isl_take isl_point *pnt1, __isl_take isl_point *pnt2)
 447 {
 448         isl_basic_set *bset;
 449         unsigned total;
 450         int i;
 451         int k;
 452         isl_int t;
 453
 454         isl_int_init(t);
 455
 456         if (!pnt1 || !pnt2)
 457                 goto error;
 458
 459         isl_assert(pnt1->dim->ctx,
 460                         isl_space_is_equal(pnt1->dim, pnt2->dim), goto error);
 461
 462         if (isl_point_is_void(pnt1) && isl_point_is_void(pnt2)) {
 463                 isl_space *dim = isl_space_copy(pnt1->dim);
 464                 isl_point_free(pnt1);
 465                 isl_point_free(pnt2);
 466                 isl_int_clear(t);
 467                 return isl_basic_set_empty(dim);
 468         }
 469         if (isl_point_is_void(pnt1)) {
 470                 isl_point_free(pnt1);
 471                 isl_int_clear(t);
 472                 return isl_basic_set_from_point(pnt2);
 473         }
 474         if (isl_point_is_void(pnt2)) {
 475                 isl_point_free(pnt2);
 476                 isl_int_clear(t);
 477                 return isl_basic_set_from_point(pnt1);
 478         }
 479
 480         total = isl_space_dim(pnt1->dim, isl_dim_all);
 481         bset = isl_basic_set_alloc_space(isl_space_copy(pnt1->dim), 0, 0, 2 * total);
 482
 483         for (i = 0; i < total; ++i) {
 484                 isl_int_mul(t, pnt1->vec->el[1 + i], pnt2->vec->el[0]);
 485                 isl_int_submul(t, pnt2->vec->el[1 + i], pnt1->vec->el[0]);
 486
 487                 k = isl_basic_set_alloc_inequality(bset);
 488                 if (k < 0)
 489                         goto error;
 490                 isl_seq_clr(bset->ineq[k] + 1, total);
 491                 if (isl_int_is_pos(t)) {
 492                         isl_int_set_si(bset->ineq[k][1 + i], -1);
 493                         isl_int_set(bset->ineq[k][0], pnt1->vec->el[1 + i]);
 494                 } else {
 495                         isl_int_set_si(bset->ineq[k][1 + i], 1);
 496                         isl_int_neg(bset->ineq[k][0], pnt1->vec->el[1 + i]);
 497                 }
 498                 isl_int_fdiv_q(bset->ineq[k][0], bset->ineq[k][0], pnt1->vec->el[0]);
 499
 500                 k = isl_basic_set_alloc_inequality(bset);
 501                 if (k < 0)
 502                         goto error;
 503                 isl_seq_clr(bset->ineq[k] + 1, total);
 504                 if (isl_int_is_pos(t)) {
 505                         isl_int_set_si(bset->ineq[k][1 + i], 1);
 506                         isl_int_neg(bset->ineq[k][0], pnt2->vec->el[1 + i]);
 507                 } else {
 508                         isl_int_set_si(bset->ineq[k][1 + i], -1);
 509                         isl_int_set(bset->ineq[k][0], pnt2->vec->el[1 + i]);
 510                 }
 511                 isl_int_fdiv_q(bset->ineq[k][0], bset->ineq[k][0], pnt2->vec->el[0]);
 512         }
 513
 514         bset = isl_basic_set_finalize(bset);
 515
 516         isl_point_free(pnt1);
 517         isl_point_free(pnt2);
 518
 519         isl_int_clear(t);
 520
 521         return bset;
 522 error:
 523         isl_point_free(pnt1);
 524         isl_point_free(pnt2);
 525         isl_int_clear(t);
 526         return NULL;
 527 }
 528
 529 __isl_give isl_set *isl_set_box_from_points(__isl_take isl_point *pnt1,
 530         __isl_take isl_point *pnt2)
 531 {
 532         isl_basic_set *bset;
 533         bset = isl_basic_set_box_from_points(pnt1, pnt2);
 534         return isl_set_from_basic_set(bset);
 535 }
 536
 537 __isl_give isl_printer *isl_printer_print_point(
 538         __isl_take isl_printer *p, __isl_keep isl_point *pnt)
 539 {
 540         int i;
 541         unsigned nparam;
 542         unsigned dim;
 543
 544         if (!pnt)
 545                 return p;
 546         if (isl_point_is_void(pnt)) {
 547                 p = isl_printer_print_str(p, "void");
 548                 return p;
 549         }
 550
 551         nparam = isl_space_dim(pnt->dim, isl_dim_param);
 552         dim = isl_space_dim(pnt->dim, isl_dim_set);
 553         if (nparam > 0) {
 554                 p = isl_printer_print_str(p, "[");
 555                 for (i = 0; i < nparam; ++i) {
 556                         const char *name;
 557                         if (i)
 558                                 p = isl_printer_print_str(p, ", ");
 559                         name = isl_space_get_dim_name(pnt->dim, isl_dim_param, i);
 560                         if (name) {
 561                                 p = isl_printer_print_str(p, name);
 562                                 p = isl_printer_print_str(p, " = ");
 563                         }
 564                         p = isl_printer_print_isl_int(p, pnt->vec->el[1 + i]);
 565                         if (!isl_int_is_one(pnt->vec->el[0])) {
 566                                 p = isl_printer_print_str(p, "/");
 567                                 p = isl_printer_print_isl_int(p, pnt->vec->el[0]);
 568                         }
 569                 }
 570                 p = isl_printer_print_str(p, "]");
 571                 p = isl_printer_print_str(p, " -> ");
 572         }
 573         p = isl_printer_print_str(p, "[");
 574         for (i = 0; i < dim; ++i) {
 575                 if (i)
 576                         p = isl_printer_print_str(p, ", ");
 577                 p = isl_printer_print_isl_int(p, pnt->vec->el[1 + nparam + i]);
 578                 if (!isl_int_is_one(pnt->vec->el[0])) {
 579                         p = isl_printer_print_str(p, "/");
 580                         p = isl_printer_print_isl_int(p, pnt->vec->el[0]);
 581                 }
 582         }
 583         p = isl_printer_print_str(p, "]");
 584         return p;
 585 }