isl_map.c

   1 #include <string.h>
   2 #include <strings.h>
   3 #include "isl_ctx.h"
   4 #include "isl_blk.h"
   5 #include "isl_dim.h"
   6 #include "isl_list.h"
   7 #include "isl_lp.h"
   8 #include "isl_seq.h"
   9 #include "isl_set.h"
  10 #include "isl_map.h"
  11 #include "isl_map_private.h"
  12 #include "isl_map_piplib.h"
  13 #include "isl_sample.h"
  14 #include "isl_vec.h"
  15
  16 /* Maps dst positions to src positions */
  17 struct isl_dim_map {
  18         unsigned len;
  19         int pos[1];
  20 };
  21
  22 static struct isl_dim_map *isl_dim_map_alloc(struct isl_ctx *ctx, unsigned len)
  23 {
  24         int i;
  25         struct isl_dim_map *dim_map;
  26         dim_map = isl_alloc(ctx, struct isl_dim_map,
  27                                 sizeof(struct isl_dim_map) + len * sizeof(int));
  28         if (!dim_map)
  29                 return NULL;
  30         dim_map->len = 1 + len;
  31         dim_map->pos[0] = 0;
  32         for (i = 0; i < len; ++i)
  33                 dim_map->pos[1 + i] = -1;
  34         return dim_map;
  35 }
  36
  37 static unsigned n(struct isl_dim *dim, enum isl_dim_type type)
  38 {
  39         switch (type) {
  40         case isl_dim_param:     return dim->nparam;
  41         case isl_dim_in:        return dim->n_in;
  42         case isl_dim_out:       return dim->n_out;
  43         }
  44 }
  45
  46 static unsigned pos(struct isl_dim *dim, enum isl_dim_type type)
  47 {
  48         switch (type) {
  49         case isl_dim_param:     return 1;
  50         case isl_dim_in:        return 1 + dim->nparam;
  51         case isl_dim_out:       return 1 + dim->nparam + dim->n_in;
  52         }
  53 }
  54
  55 static void isl_dim_map_dim(struct isl_dim_map *dim_map, struct isl_dim *dim,
  56                 enum isl_dim_type type, unsigned dst_pos)
  57 {
  58         int i;
  59         unsigned src_pos;
  60
  61         if (!dim_map || !dim)
  62                 return;
  63
  64         src_pos = pos(dim, type);
  65         for (i = 0; i < n(dim, type); ++i)
  66                 dim_map->pos[1 + dst_pos + i] = src_pos + i;
  67 }
  68
  69 static void isl_dim_map_div(struct isl_dim_map *dim_map,
  70                 struct isl_basic_map *bmap, unsigned dst_pos)
  71 {
  72         int i;
  73         unsigned src_pos;
  74
  75         if (!dim_map || !bmap)
  76                 return;
  77
  78         src_pos = 1 + isl_dim_total(bmap->dim);
  79         for (i = 0; i < bmap->n_div; ++i)
  80                 dim_map->pos[1 + dst_pos + i] = src_pos + i;
  81 }
  82
  83 static void isl_dim_map_dump(struct isl_dim_map *dim_map)
  84 {
  85         int i;
  86
  87         for (i = 0; i < dim_map->len; ++i)
  88                 fprintf(stderr, "%d -> %d; ", i, dim_map->pos[i]);
  89         fprintf(stderr, "\n");
  90 }
  91
  92 unsigned isl_basic_map_dim(const struct isl_basic_map *bmap,
  93                                 enum isl_dim_type type)
  94 {
  95         struct isl_dim *dim = bmap->dim;
  96         switch (type) {
  97         case isl_dim_param:
  98         case isl_dim_in:
  99         case isl_dim_out:       return isl_dim_size(bmap->dim, type);
 100         case isl_dim_div:       return bmap->n_div;
 101         case isl_dim_all:       return isl_basic_map_total_dim(bmap);
 102         }
 103 }
 104
 105 unsigned isl_map_dim(const struct isl_map *map, enum isl_dim_type type)
 106 {
 107         return n(map->dim, type);
 108 }
 109
 110 unsigned isl_set_dim(const struct isl_set *set, enum isl_dim_type type)
 111 {
 112         return n(set->dim, type);
 113 }
 114
 115 unsigned isl_basic_map_offset(struct isl_basic_map *bmap,
 116                                         enum isl_dim_type type)
 117 {
 118         struct isl_dim *dim = bmap->dim;
 119         switch (type) {
 120         case isl_dim_param:     return 1;
 121         case isl_dim_in:        return 1 + dim->nparam;
 122         case isl_dim_out:       return 1 + dim->nparam + dim->n_in;
 123         case isl_dim_div:       return 1 + dim->nparam + dim->n_in + dim->n_out;
 124         }
 125 }
 126
 127 static unsigned map_offset(struct isl_map *map, enum isl_dim_type type)
 128 {
 129         return pos(map->dim, type);
 130 }
 131
 132 unsigned isl_basic_set_dim(const struct isl_basic_set *bset,
 133                                 enum isl_dim_type type)
 134 {
 135         return isl_basic_map_dim((const struct isl_basic_map*)bset, type);
 136 }
 137
 138 unsigned isl_basic_set_n_dim(const struct isl_basic_set *bset)
 139 {
 140         return bset->dim->n_out;
 141 }
 142
 143 unsigned isl_basic_set_n_param(const struct isl_basic_set *bset)
 144 {
 145         return bset->dim->nparam;
 146 }
 147
 148 unsigned isl_basic_set_total_dim(const struct isl_basic_set *bset)
 149 {
 150         return isl_dim_total(bset->dim) + bset->n_div;
 151 }
 152
 153 unsigned isl_set_n_dim(const struct isl_set *set)
 154 {
 155         return set->dim->n_out;
 156 }
 157
 158 unsigned isl_set_n_param(const struct isl_set *set)
 159 {
 160         return set->dim->nparam;
 161 }
 162
 163 unsigned isl_basic_map_n_in(const struct isl_basic_map *bmap)
 164 {
 165         return bmap->dim->n_in;
 166 }
 167
 168 unsigned isl_basic_map_n_out(const struct isl_basic_map *bmap)
 169 {
 170         return bmap->dim->n_out;
 171 }
 172
 173 unsigned isl_basic_map_n_param(const struct isl_basic_map *bmap)
 174 {
 175         return bmap->dim->nparam;
 176 }
 177
 178 unsigned isl_basic_map_n_div(const struct isl_basic_map *bmap)
 179 {
 180         return bmap->n_div;
 181 }
 182
 183 unsigned isl_basic_map_total_dim(const struct isl_basic_map *bmap)
 184 {
 185         return isl_dim_total(bmap->dim) + bmap->n_div;
 186 }
 187
 188 unsigned isl_map_n_in(const struct isl_map *map)
 189 {
 190         return map->dim->n_in;
 191 }
 192
 193 unsigned isl_map_n_out(const struct isl_map *map)
 194 {
 195         return map->dim->n_out;
 196 }
 197
 198 unsigned isl_map_n_param(const struct isl_map *map)
 199 {
 200         return map->dim->nparam;
 201 }
 202
 203 int isl_map_compatible_domain(struct isl_map *map, struct isl_set *set)
 204 {
 205         return map->dim->n_in == set->dim->n_out &&
 206                map->dim->nparam == set->dim->nparam;
 207 }
 208
 209 int isl_basic_map_compatible_domain(struct isl_basic_map *bmap,
 210                 struct isl_basic_set *bset)
 211 {
 212         return bmap->dim->n_in == bset->dim->n_out &&
 213                bmap->dim->nparam == bset->dim->nparam;
 214 }
 215
 216 int isl_basic_map_compatible_range(struct isl_basic_map *bmap,
 217                 struct isl_basic_set *bset)
 218 {
 219         return bmap->dim->n_out == bset->dim->n_out &&
 220                bmap->dim->nparam == bset->dim->nparam;
 221 }
 222
 223 static struct isl_basic_map *basic_map_init(struct isl_ctx *ctx,
 224                 struct isl_basic_map *bmap, unsigned extra,
 225                 unsigned n_eq, unsigned n_ineq)
 226 {
 227         int i;
 228         size_t row_size = 1 + isl_dim_total(bmap->dim) + extra;
 229
 230         bmap->block = isl_blk_alloc(ctx, (n_ineq + n_eq) * row_size);
 231         if (isl_blk_is_error(bmap->block)) {
 232                 free(bmap);
 233                 return NULL;
 234         }
 235
 236         bmap->ineq = isl_alloc_array(ctx, isl_int *, n_ineq + n_eq);
 237         if (!bmap->ineq) {
 238                 isl_blk_free(ctx, bmap->block);
 239                 free(bmap);
 240                 return NULL;
 241         }
 242
 243         if (extra == 0) {
 244                 bmap->block2 = isl_blk_empty();
 245                 bmap->div = NULL;
 246         } else {
 247                 bmap->block2 = isl_blk_alloc(ctx, extra * (1 + row_size));
 248                 if (isl_blk_is_error(bmap->block2)) {
 249                         free(bmap->ineq);
 250                         isl_blk_free(ctx, bmap->block);
 251                         free(bmap);
 252                         return NULL;
 253                 }
 254
 255                 bmap->div = isl_alloc_array(ctx, isl_int *, extra);
 256                 if (!bmap->div) {
 257                         isl_blk_free(ctx, bmap->block2);
 258                         free(bmap->ineq);
 259                         isl_blk_free(ctx, bmap->block);
 260                         free(bmap);
 261                         return NULL;
 262                 }
 263         }
 264
 265         for (i = 0; i < n_ineq + n_eq; ++i)
 266                 bmap->ineq[i] = bmap->block.data + i * row_size;
 267
 268         for (i = 0; i < extra; ++i)
 269                 bmap->div[i] = bmap->block2.data + i * (1 + row_size);
 270
 271         bmap->ctx = ctx;
 272         isl_ctx_ref(ctx);
 273         bmap->ref = 1;
 274         bmap->flags = 0;
 275         bmap->c_size = n_eq + n_ineq;
 276         bmap->eq = bmap->ineq + n_ineq;
 277         bmap->extra = extra;
 278         bmap->n_eq = 0;
 279         bmap->n_ineq = 0;
 280         bmap->n_div = 0;
 281         bmap->sample = NULL;
 282
 283         return bmap;
 284 error:
 285         isl_basic_map_free(bmap);
 286         return NULL;
 287 }
 288
 289 struct isl_basic_set *isl_basic_set_alloc(struct isl_ctx *ctx,
 290                 unsigned nparam, unsigned dim, unsigned extra,
 291                 unsigned n_eq, unsigned n_ineq)
 292 {
 293         struct isl_basic_map *bmap;
 294         bmap = isl_basic_map_alloc(ctx, nparam, 0, dim, extra, n_eq, n_ineq);
 295         return (struct isl_basic_set *)bmap;
 296 }
 297
 298 struct isl_basic_set *isl_basic_set_alloc_dim(struct isl_dim *dim,
 299                 unsigned extra, unsigned n_eq, unsigned n_ineq)
 300 {
 301         struct isl_basic_map *bmap;
 302         if (!dim)
 303                 return NULL;
 304         isl_assert(dim->ctx, dim->n_in == 0, return NULL);
 305         bmap = isl_basic_map_alloc_dim(dim, extra, n_eq, n_ineq);
 306         return (struct isl_basic_set *)bmap;
 307 }
 308
 309 struct isl_basic_map *isl_basic_map_alloc_dim(struct isl_dim *dim,
 310                 unsigned extra, unsigned n_eq, unsigned n_ineq)
 311 {
 312         struct isl_basic_map *bmap;
 313
 314         if (!dim)
 315                 return NULL;
 316         bmap = isl_alloc_type(dim->ctx, struct isl_basic_map);
 317         if (!bmap)
 318                 goto error;
 319         bmap->dim = dim;
 320
 321         return basic_map_init(dim->ctx, bmap, extra, n_eq, n_ineq);
 322 error:
 323         isl_dim_free(dim);
 324         return NULL;
 325 }
 326
 327 struct isl_basic_map *isl_basic_map_alloc(struct isl_ctx *ctx,
 328                 unsigned nparam, unsigned in, unsigned out, unsigned extra,
 329                 unsigned n_eq, unsigned n_ineq)
 330 {
 331         struct isl_basic_map *bmap;
 332         struct isl_dim *dim;
 333
 334         dim = isl_dim_alloc(ctx, nparam, in, out);
 335         if (!dim)
 336                 return NULL;
 337
 338         bmap = isl_basic_map_alloc_dim(dim, extra, n_eq, n_ineq);
 339         return bmap;
 340 }
 341
 342 static void dup_constraints(
 343                 struct isl_basic_map *dst, struct isl_basic_map *src)
 344 {
 345         int i;
 346         unsigned total = isl_basic_map_total_dim(src);
 347
 348         for (i = 0; i < src->n_eq; ++i) {
 349                 int j = isl_basic_map_alloc_equality(dst);
 350                 isl_seq_cpy(dst->eq[j], src->eq[i], 1+total);
 351         }
 352
 353         for (i = 0; i < src->n_ineq; ++i) {
 354                 int j = isl_basic_map_alloc_inequality(dst);
 355                 isl_seq_cpy(dst->ineq[j], src->ineq[i], 1+total);
 356         }
 357
 358         for (i = 0; i < src->n_div; ++i) {
 359                 int j = isl_basic_map_alloc_div(dst);
 360                 isl_seq_cpy(dst->div[j], src->div[i], 1+1+total);
 361         }
 362         ISL_F_SET(dst, ISL_BASIC_SET_FINAL);
 363 }
 364
 365 struct isl_basic_map *isl_basic_map_dup(struct isl_basic_map *bmap)
 366 {
 367         struct isl_basic_map *dup;
 368
 369         if (!bmap)
 370                 return NULL;
 371         dup = isl_basic_map_alloc_dim(isl_dim_copy(bmap->dim),
 372                         bmap->n_div, bmap->n_eq, bmap->n_ineq);
 373         if (!dup)
 374                 return NULL;
 375         dup_constraints(dup, bmap);
 376         dup->flags = bmap->flags;
 377         dup->sample = isl_vec_copy(bmap->ctx, bmap->sample);
 378         return dup;
 379 }
 380
 381 struct isl_basic_set *isl_basic_set_dup(struct isl_basic_set *bset)
 382 {
 383         struct isl_basic_map *dup;
 384
 385         dup = isl_basic_map_dup((struct isl_basic_map *)bset);
 386         return (struct isl_basic_set *)dup;
 387 }
 388
 389 struct isl_basic_set *isl_basic_set_copy(struct isl_basic_set *bset)
 390 {
 391         if (!bset)
 392                 return NULL;
 393
 394         if (ISL_F_ISSET(bset, ISL_BASIC_SET_FINAL)) {
 395                 bset->ref++;
 396                 return bset;
 397         }
 398         return isl_basic_set_dup(bset);
 399 }
 400
 401 struct isl_set *isl_set_copy(struct isl_set *set)
 402 {
 403         if (!set)
 404                 return NULL;
 405
 406         set->ref++;
 407         return set;
 408 }
 409
 410 struct isl_basic_map *isl_basic_map_copy(struct isl_basic_map *bmap)
 411 {
 412         if (!bmap)
 413                 return NULL;
 414
 415         if (ISL_F_ISSET(bmap, ISL_BASIC_SET_FINAL)) {
 416                 bmap->ref++;
 417                 return bmap;
 418         }
 419         return isl_basic_map_dup(bmap);
 420 }
 421
 422 struct isl_map *isl_map_copy(struct isl_map *map)
 423 {
 424         if (!map)
 425                 return NULL;
 426
 427         map->ref++;
 428         return map;
 429 }
 430
 431 void isl_basic_map_free(struct isl_basic_map *bmap)
 432 {
 433         if (!bmap)
 434                 return;
 435
 436         if (--bmap->ref > 0)
 437                 return;
 438
 439         isl_ctx_deref(bmap->ctx);
 440         free(bmap->div);
 441         isl_blk_free(bmap->ctx, bmap->block2);
 442         free(bmap->ineq);
 443         isl_blk_free(bmap->ctx, bmap->block);
 444         isl_vec_free(bmap->ctx, bmap->sample);
 445         isl_dim_free(bmap->dim);
 446         free(bmap);
 447 }
 448
 449 void isl_basic_set_free(struct isl_basic_set *bset)
 450 {
 451         isl_basic_map_free((struct isl_basic_map *)bset);
 452 }
 453
 454 static int room_for_con(struct isl_basic_map *bmap, unsigned n)
 455 {
 456         return bmap->n_eq + bmap->n_ineq + n <= bmap->c_size;
 457 }
 458
 459 int isl_basic_map_alloc_equality(struct isl_basic_map *bmap)
 460 {
 461         struct isl_ctx *ctx;
 462         if (!bmap)
 463                 return -1;
 464         ctx = bmap->ctx;
 465         isl_assert(ctx, room_for_con(bmap, 1), return -1);
 466         isl_assert(ctx, (bmap->eq - bmap->ineq) + bmap->n_eq <= bmap->c_size,
 467                         return -1);
 468         ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
 469         ISL_F_CLR(bmap, ISL_BASIC_MAP_NO_REDUNDANT);
 470         ISL_F_CLR(bmap, ISL_BASIC_MAP_NO_IMPLICIT);
 471         ISL_F_CLR(bmap, ISL_BASIC_MAP_ALL_EQUALITIES);
 472         ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED_DIVS);
 473         if ((bmap->eq - bmap->ineq) + bmap->n_eq == bmap->c_size) {
 474                 isl_int *t;
 475                 int j = isl_basic_map_alloc_inequality(bmap);
 476                 if (j < 0)
 477                         return -1;
 478                 t = bmap->ineq[j];
 479                 bmap->ineq[j] = bmap->ineq[bmap->n_ineq - 1];
 480                 bmap->ineq[bmap->n_ineq - 1] = bmap->eq[-1];
 481                 bmap->eq[-1] = t;
 482                 bmap->n_eq++;
 483                 bmap->n_ineq--;
 484                 bmap->eq--;
 485                 return 0;
 486         }
 487         isl_seq_clr(bmap->eq[bmap->n_eq] + 1 + isl_basic_map_total_dim(bmap),
 488                       bmap->extra - bmap->n_div);
 489         return bmap->n_eq++;
 490 }
 491
 492 int isl_basic_set_alloc_equality(struct isl_basic_set *bset)
 493 {
 494         return isl_basic_map_alloc_equality((struct isl_basic_map *)bset);
 495 }
 496
 497 int isl_basic_map_free_equality(struct isl_basic_map *bmap, unsigned n)
 498 {
 499         if (!bmap)
 500                 return -1;
 501         isl_assert(bmap->ctx, n <= bmap->n_eq, return -1);
 502         bmap->n_eq -= n;
 503         return 0;
 504 }
 505
 506 int isl_basic_set_free_equality(struct isl_basic_set *bset, unsigned n)
 507 {
 508         return isl_basic_map_free_equality((struct isl_basic_map *)bset, n);
 509 }
 510
 511 int isl_basic_map_drop_equality(struct isl_basic_map *bmap, unsigned pos)
 512 {
 513         isl_int *t;
 514         if (!bmap)
 515                 return -1;
 516         isl_assert(bmap->ctx, pos < bmap->n_eq, return -1);
 517
 518         if (pos != bmap->n_eq - 1) {
 519                 t = bmap->eq[pos];
 520                 bmap->eq[pos] = bmap->eq[bmap->n_eq - 1];
 521                 bmap->eq[bmap->n_eq - 1] = t;
 522         }
 523         bmap->n_eq--;
 524         return 0;
 525 }
 526
 527 int isl_basic_set_drop_equality(struct isl_basic_set *bset, unsigned pos)
 528 {
 529         return isl_basic_map_drop_equality((struct isl_basic_map *)bset, pos);
 530 }
 531
 532 void isl_basic_map_inequality_to_equality(
 533                 struct isl_basic_map *bmap, unsigned pos)
 534 {
 535         isl_int *t;
 536
 537         t = bmap->ineq[pos];
 538         bmap->ineq[pos] = bmap->ineq[bmap->n_ineq - 1];
 539         bmap->ineq[bmap->n_ineq - 1] = bmap->eq[-1];
 540         bmap->eq[-1] = t;
 541         bmap->n_eq++;
 542         bmap->n_ineq--;
 543         bmap->eq--;
 544         ISL_F_CLR(bmap, ISL_BASIC_MAP_NO_REDUNDANT);
 545         ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
 546         ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED_DIVS);
 547         ISL_F_CLR(bmap, ISL_BASIC_MAP_ALL_EQUALITIES);
 548 }
 549
 550 static int room_for_ineq(struct isl_basic_map *bmap, unsigned n)
 551 {
 552         return bmap->n_ineq + n <= bmap->eq - bmap->ineq;
 553 }
 554
 555 int isl_basic_map_alloc_inequality(struct isl_basic_map *bmap)
 556 {
 557         struct isl_ctx *ctx;
 558         if (!bmap)
 559                 return -1;
 560         ctx = bmap->ctx;
 561         isl_assert(ctx, room_for_ineq(bmap, 1), return -1);
 562         ISL_F_CLR(bmap, ISL_BASIC_MAP_NO_IMPLICIT);
 563         ISL_F_CLR(bmap, ISL_BASIC_MAP_NO_REDUNDANT);
 564         ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
 565         ISL_F_CLR(bmap, ISL_BASIC_MAP_ALL_EQUALITIES);
 566         isl_seq_clr(bmap->ineq[bmap->n_ineq] +
 567                       1 + isl_basic_map_total_dim(bmap),
 568                       bmap->extra - bmap->n_div);
 569         return bmap->n_ineq++;
 570 }
 571
 572 int isl_basic_set_alloc_inequality(struct isl_basic_set *bset)
 573 {
 574         return isl_basic_map_alloc_inequality((struct isl_basic_map *)bset);
 575 }
 576
 577 int isl_basic_map_free_inequality(struct isl_basic_map *bmap, unsigned n)
 578 {
 579         if (!bmap)
 580                 return -1;
 581         isl_assert(bmap->ctx, n <= bmap->n_ineq, return -1);
 582         bmap->n_ineq -= n;
 583         return 0;
 584 }
 585
 586 int isl_basic_set_free_inequality(struct isl_basic_set *bset, unsigned n)
 587 {
 588         return isl_basic_map_free_inequality((struct isl_basic_map *)bset, n);
 589 }
 590
 591 int isl_basic_map_drop_inequality(struct isl_basic_map *bmap, unsigned pos)
 592 {
 593         isl_int *t;
 594         if (!bmap)
 595                 return -1;
 596         isl_assert(bmap->ctx, pos < bmap->n_ineq, return -1);
 597
 598         if (pos != bmap->n_ineq - 1) {
 599                 t = bmap->ineq[pos];
 600                 bmap->ineq[pos] = bmap->ineq[bmap->n_ineq - 1];
 601                 bmap->ineq[bmap->n_ineq - 1] = t;
 602                 ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
 603         }
 604         bmap->n_ineq--;
 605         return 0;
 606 }
 607
 608 int isl_basic_set_drop_inequality(struct isl_basic_set *bset, unsigned pos)
 609 {
 610         return isl_basic_map_drop_inequality((struct isl_basic_map *)bset, pos);
 611 }
 612
 613 int isl_basic_map_alloc_div(struct isl_basic_map *bmap)
 614 {
 615         if (!bmap)
 616                 return -1;
 617         isl_assert(bmap->ctx, bmap->n_div < bmap->extra, return -1);
 618         isl_seq_clr(bmap->div[bmap->n_div] +
 619                       1 + 1 + isl_basic_map_total_dim(bmap),
 620                       bmap->extra - bmap->n_div);
 621         ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED_DIVS);
 622         return bmap->n_div++;
 623 }
 624
 625 int isl_basic_set_alloc_div(struct isl_basic_set *bset)
 626 {
 627         return isl_basic_map_alloc_div((struct isl_basic_map *)bset);
 628 }
 629
 630 int isl_basic_map_free_div(struct isl_basic_map *bmap, unsigned n)
 631 {
 632         if (!bmap)
 633                 return -1;
 634         isl_assert(bmap->ctx, n <= bmap->n_div, return -1);
 635         bmap->n_div -= n;
 636         return 0;
 637 }
 638
 639 /* Copy constraint from src to dst, putting the vars of src at offset
 640  * dim_off in dst and the divs of src at offset div_off in dst.
 641  * If both sets are actually map, then dim_off applies to the input
 642  * variables.
 643  */
 644 static void copy_constraint(struct isl_basic_map *dst_map, isl_int *dst,
 645                             struct isl_basic_map *src_map, isl_int *src,
 646                             unsigned in_off, unsigned out_off, unsigned div_off)
 647 {
 648         unsigned src_nparam = isl_basic_map_n_param(src_map);
 649         unsigned dst_nparam = isl_basic_map_n_param(dst_map);
 650         unsigned src_in = isl_basic_map_n_in(src_map);
 651         unsigned dst_in = isl_basic_map_n_in(dst_map);
 652         unsigned src_out = isl_basic_map_n_out(src_map);
 653         unsigned dst_out = isl_basic_map_n_out(dst_map);
 654         isl_int_set(dst[0], src[0]);
 655         isl_seq_cpy(dst+1, src+1, isl_min(dst_nparam, src_nparam));
 656         if (dst_nparam > src_nparam)
 657                 isl_seq_clr(dst+1+src_nparam,
 658                                 dst_nparam - src_nparam);
 659         isl_seq_clr(dst+1+dst_nparam, in_off);
 660         isl_seq_cpy(dst+1+dst_nparam+in_off,
 661                     src+1+src_nparam,
 662                     isl_min(dst_in-in_off, src_in));
 663         if (dst_in-in_off > src_in)
 664                 isl_seq_clr(dst+1+dst_nparam+in_off+src_in,
 665                                 dst_in - in_off - src_in);
 666         isl_seq_clr(dst+1+dst_nparam+dst_in, out_off);
 667         isl_seq_cpy(dst+1+dst_nparam+dst_in+out_off,
 668                     src+1+src_nparam+src_in,
 669                     isl_min(dst_out-out_off, src_out));
 670         if (dst_out-out_off > src_out)
 671                 isl_seq_clr(dst+1+dst_nparam+dst_in+out_off+src_out,
 672                                 dst_out - out_off - src_out);
 673         isl_seq_clr(dst+1+dst_nparam+dst_in+dst_out, div_off);
 674         isl_seq_cpy(dst+1+dst_nparam+dst_in+dst_out+div_off,
 675                     src+1+src_nparam+src_in+src_out,
 676                     isl_min(dst_map->extra-div_off, src_map->n_div));
 677         if (dst_map->n_div-div_off > src_map->n_div)
 678                 isl_seq_clr(dst+1+dst_nparam+dst_in+dst_out+
 679                                 div_off+src_map->n_div,
 680                                 dst_map->n_div - div_off - src_map->n_div);
 681 }
 682
 683 static void copy_div(struct isl_basic_map *dst_map, isl_int *dst,
 684                      struct isl_basic_map *src_map, isl_int *src,
 685                      unsigned in_off, unsigned out_off, unsigned div_off)
 686 {
 687         isl_int_set(dst[0], src[0]);
 688         copy_constraint(dst_map, dst+1, src_map, src+1, in_off, out_off, div_off);
 689 }
 690
 691 static struct isl_basic_map *add_constraints(struct isl_basic_map *bmap1,
 692                 struct isl_basic_map *bmap2, unsigned i_pos, unsigned o_pos)
 693 {
 694         int i;
 695         unsigned div_off;
 696
 697         if (!bmap1 || !bmap2)
 698                 goto error;
 699
 700         div_off = bmap1->n_div;
 701
 702         for (i = 0; i < bmap2->n_eq; ++i) {
 703                 int i1 = isl_basic_map_alloc_equality(bmap1);
 704                 if (i1 < 0)
 705                         goto error;
 706                 copy_constraint(bmap1, bmap1->eq[i1], bmap2, bmap2->eq[i],
 707                                 i_pos, o_pos, div_off);
 708         }
 709
 710         for (i = 0; i < bmap2->n_ineq; ++i) {
 711                 int i1 = isl_basic_map_alloc_inequality(bmap1);
 712                 if (i1 < 0)
 713                         goto error;
 714                 copy_constraint(bmap1, bmap1->ineq[i1], bmap2, bmap2->ineq[i],
 715                                 i_pos, o_pos, div_off);
 716         }
 717
 718         for (i = 0; i < bmap2->n_div; ++i) {
 719                 int i1 = isl_basic_map_alloc_div(bmap1);
 720                 if (i1 < 0)
 721                         goto error;
 722                 copy_div(bmap1, bmap1->div[i1], bmap2, bmap2->div[i],
 723                          i_pos, o_pos, div_off);
 724         }
 725
 726         isl_basic_map_free(bmap2);
 727
 728         return bmap1;
 729
 730 error:
 731         isl_basic_map_free(bmap1);
 732         isl_basic_map_free(bmap2);
 733         return NULL;
 734 }
 735
 736 static void copy_constraint_dim_map(isl_int *dst, isl_int *src,
 737                                         struct isl_dim_map *dim_map)
 738 {
 739         int i;
 740
 741         for (i = 0; i < dim_map->len; ++i) {
 742                 if (dim_map->pos[i] < 0)
 743                         isl_int_set_si(dst[i], 0);
 744                 else
 745                         isl_int_set(dst[i], src[dim_map->pos[i]]);
 746         }
 747 }
 748
 749 static void copy_div_dim_map(isl_int *dst, isl_int *src,
 750                                         struct isl_dim_map *dim_map)
 751 {
 752         isl_int_set(dst[0], src[0]);
 753         copy_constraint_dim_map(dst+1, src+1, dim_map);
 754 }
 755
 756 static struct isl_basic_map *add_constraints_dim_map(struct isl_basic_map *dst,
 757                 struct isl_basic_map *src, struct isl_dim_map *dim_map)
 758 {
 759         int i;
 760
 761         if (!src || !dst || !dim_map)
 762                 goto error;
 763
 764         for (i = 0; i < src->n_eq; ++i) {
 765                 int i1 = isl_basic_map_alloc_equality(dst);
 766                 if (i1 < 0)
 767                         goto error;
 768                 copy_constraint_dim_map(dst->eq[i1], src->eq[i], dim_map);
 769         }
 770
 771         for (i = 0; i < src->n_ineq; ++i) {
 772                 int i1 = isl_basic_map_alloc_inequality(dst);
 773                 if (i1 < 0)
 774                         goto error;
 775                 copy_constraint_dim_map(dst->ineq[i1], src->ineq[i], dim_map);
 776         }
 777
 778         for (i = 0; i < src->n_div; ++i) {
 779                 int i1 = isl_basic_map_alloc_div(dst);
 780                 if (i1 < 0)
 781                         goto error;
 782                 copy_div_dim_map(dst->div[i1], src->div[i], dim_map);
 783         }
 784
 785         free(dim_map);
 786         isl_basic_map_free(src);
 787
 788         return dst;
 789 error:
 790         free(dim_map);
 791         isl_basic_map_free(src);
 792         isl_basic_map_free(dst);
 793         return NULL;
 794 }
 795
 796 struct isl_basic_set *isl_basic_set_add_constraints(struct isl_basic_set *bset1,
 797                 struct isl_basic_set *bset2, unsigned pos)
 798 {
 799         return (struct isl_basic_set *)
 800                 add_constraints((struct isl_basic_map *)bset1,
 801                                 (struct isl_basic_map *)bset2, 0, pos);
 802 }
 803
 804 struct isl_basic_map *isl_basic_map_extend_dim(struct isl_basic_map *base,
 805                 struct isl_dim *dim, unsigned extra,
 806                 unsigned n_eq, unsigned n_ineq)
 807 {
 808         struct isl_basic_map *ext;
 809         unsigned flags;
 810         int dims_ok;
 811
 812         if (!dim)
 813                 goto error;
 814
 815         if (!base)
 816                 goto error;
 817
 818         dims_ok = isl_dim_equal(base->dim, dim) &&
 819                   base->extra >= base->n_div + extra;
 820
 821         if (dims_ok && room_for_con(base, n_eq + n_ineq) &&
 822                        room_for_ineq(base, n_ineq)) {
 823                 isl_dim_free(dim);
 824                 return base;
 825         }
 826
 827         isl_assert(base->ctx, base->dim->nparam <= dim->nparam, goto error);
 828         isl_assert(base->ctx, base->dim->n_in <= dim->n_in, goto error);
 829         isl_assert(base->ctx, base->dim->n_out <= dim->n_out, goto error);
 830         extra += base->extra;
 831         n_eq += base->n_eq;
 832         n_ineq += base->n_ineq;
 833
 834         ext = isl_basic_map_alloc_dim(dim, extra, n_eq, n_ineq);
 835         dim = NULL;
 836         if (!ext)
 837                 goto error;
 838
 839         flags = base->flags;
 840         ext = add_constraints(ext, base, 0, 0);
 841         if (ext) {
 842                 ext->flags = flags;
 843                 ISL_F_CLR(ext, ISL_BASIC_SET_FINAL);
 844         }
 845
 846         return ext;
 847
 848 error:
 849         isl_dim_free(dim);
 850         isl_basic_map_free(base);
 851         return NULL;
 852 }
 853
 854 struct isl_basic_set *isl_basic_set_extend_dim(struct isl_basic_set *base,
 855                 struct isl_dim *dim, unsigned extra,
 856                 unsigned n_eq, unsigned n_ineq)
 857 {
 858         return (struct isl_basic_set *)
 859                 isl_basic_map_extend_dim((struct isl_basic_map *)base, dim,
 860                                                         extra, n_eq, n_ineq);
 861 }
 862
 863 struct isl_basic_map *isl_basic_map_extend_constraints(
 864                 struct isl_basic_map *base, unsigned n_eq, unsigned n_ineq)
 865 {
 866         if (!base)
 867                 return NULL;
 868         return isl_basic_map_extend_dim(base, isl_dim_copy(base->dim),
 869                                         0, n_eq, n_ineq);
 870 }
 871
 872 struct isl_basic_map *isl_basic_map_extend(struct isl_basic_map *base,
 873                 unsigned nparam, unsigned n_in, unsigned n_out, unsigned extra,
 874                 unsigned n_eq, unsigned n_ineq)
 875 {
 876         struct isl_basic_map *bmap;
 877         struct isl_dim *dim;
 878
 879         if (!base)
 880                 return NULL;
 881         dim = isl_dim_alloc(base->ctx, nparam, n_in, n_out);
 882         if (!dim)
 883                 return NULL;
 884
 885         bmap = isl_basic_map_extend_dim(base, dim, extra, n_eq, n_ineq);
 886         return bmap;
 887 }
 888
 889 struct isl_basic_set *isl_basic_set_extend(struct isl_basic_set *base,
 890                 unsigned nparam, unsigned dim, unsigned extra,
 891                 unsigned n_eq, unsigned n_ineq)
 892 {
 893         return (struct isl_basic_set *)
 894                 isl_basic_map_extend((struct isl_basic_map *)base,
 895                                         nparam, 0, dim, extra, n_eq, n_ineq);
 896 }
 897
 898 struct isl_basic_set *isl_basic_set_extend_constraints(
 899                 struct isl_basic_set *base, unsigned n_eq, unsigned n_ineq)
 900 {
 901         return (struct isl_basic_set *)
 902                 isl_basic_map_extend_constraints((struct isl_basic_map *)base,
 903                                                     n_eq, n_ineq);
 904 }
 905
 906 struct isl_basic_set *isl_basic_set_cow(struct isl_basic_set *bset)
 907 {
 908         return (struct isl_basic_set *)
 909                 isl_basic_map_cow((struct isl_basic_map *)bset);
 910 }
 911
 912 struct isl_basic_map *isl_basic_map_cow(struct isl_basic_map *bmap)
 913 {
 914         if (!bmap)
 915                 return NULL;
 916
 917         if (bmap->ref > 1) {
 918                 bmap->ref--;
 919                 bmap = isl_basic_map_dup(bmap);
 920         }
 921         ISL_F_CLR(bmap, ISL_BASIC_SET_FINAL);
 922         return bmap;
 923 }
 924
 925 struct isl_set *isl_set_cow(struct isl_set *set)
 926 {
 927         if (!set)
 928                 return NULL;
 929
 930         if (set->ref == 1)
 931                 return set;
 932         set->ref--;
 933         return isl_set_dup(set);
 934 }
 935
 936 struct isl_map *isl_map_cow(struct isl_map *map)
 937 {
 938         if (!map)
 939                 return NULL;
 940
 941         if (map->ref == 1)
 942                 return map;
 943         map->ref--;
 944         return isl_map_dup(map);
 945 }
 946
 947 static void swap_vars(struct isl_blk blk, isl_int *a,
 948                         unsigned a_len, unsigned b_len)
 949 {
 950         isl_seq_cpy(blk.data, a+a_len, b_len);
 951         isl_seq_cpy(blk.data+b_len, a, a_len);
 952         isl_seq_cpy(a, blk.data, b_len+a_len);
 953 }
 954
 955 struct isl_basic_set *isl_basic_set_swap_vars(
 956                 struct isl_basic_set *bset, unsigned n)
 957 {
 958         int i;
 959         struct isl_blk blk;
 960         unsigned dim;
 961         unsigned nparam;
 962
 963         if (!bset)
 964                 goto error;
 965
 966         nparam = isl_basic_set_n_param(bset);
 967         dim = isl_basic_set_n_dim(bset);
 968         isl_assert(bset->ctx, n <= dim, goto error);
 969
 970         if (n == dim)
 971                 return bset;
 972
 973         bset = isl_basic_set_cow(bset);
 974         if (!bset)
 975                 return NULL;
 976
 977         blk = isl_blk_alloc(bset->ctx, dim);
 978         if (isl_blk_is_error(blk))
 979                 goto error;
 980
 981         for (i = 0; i < bset->n_eq; ++i)
 982                 swap_vars(blk,
 983                           bset->eq[i]+1+nparam, n, dim - n);
 984
 985         for (i = 0; i < bset->n_ineq; ++i)
 986                 swap_vars(blk,
 987                           bset->ineq[i]+1+nparam, n, dim - n);
 988
 989         for (i = 0; i < bset->n_div; ++i)
 990                 swap_vars(blk,
 991                           bset->div[i]+1+1+nparam, n, dim - n);
 992
 993         isl_blk_free(bset->ctx, blk);
 994
 995         ISL_F_CLR(bset, ISL_BASIC_SET_NORMALIZED);
 996         return bset;
 997
 998 error:
 999         isl_basic_set_free(bset);
1000         return NULL;
1001 }
1002
1003 struct isl_set *isl_set_swap_vars(struct isl_set *set, unsigned n)
1004 {
1005         int i;
1006         set = isl_set_cow(set);
1007         if (!set)
1008                 return NULL;
1009
1010         for (i = 0; i < set->n; ++i) {
1011                 set->p[i] = isl_basic_set_swap_vars(set->p[i], n);
1012                 if (!set->p[i]) {
1013                         isl_set_free(set);
1014                         return NULL;
1015                 }
1016         }
1017         ISL_F_CLR(set, ISL_SET_NORMALIZED);
1018         return set;
1019 }
1020
1021 struct isl_basic_map *isl_basic_map_set_to_empty(struct isl_basic_map *bmap)
1022 {
1023         int i = 0;
1024         unsigned total;
1025         if (!bmap)
1026                 goto error;
1027         total = isl_basic_map_total_dim(bmap);
1028         isl_basic_map_free_div(bmap, bmap->n_div);
1029         isl_basic_map_free_inequality(bmap, bmap->n_ineq);
1030         if (bmap->n_eq > 0)
1031                 isl_basic_map_free_equality(bmap, bmap->n_eq-1);
1032         else {
1033                 isl_basic_map_alloc_equality(bmap);
1034                 if (i < 0)
1035                         goto error;
1036         }
1037         isl_int_set_si(bmap->eq[i][0], 1);
1038         isl_seq_clr(bmap->eq[i]+1, total);
1039         ISL_F_SET(bmap, ISL_BASIC_MAP_EMPTY);
1040         return isl_basic_map_finalize(bmap);
1041 error:
1042         isl_basic_map_free(bmap);
1043         return NULL;
1044 }
1045
1046 struct isl_basic_set *isl_basic_set_set_to_empty(struct isl_basic_set *bset)
1047 {
1048         return (struct isl_basic_set *)
1049                 isl_basic_map_set_to_empty((struct isl_basic_map *)bset);
1050 }
1051
1052 static void swap_div(struct isl_basic_map *bmap, int a, int b)
1053 {
1054         int i;
1055         unsigned off = isl_dim_total(bmap->dim);
1056         isl_int *t = bmap->div[a];
1057         bmap->div[a] = bmap->div[b];
1058         bmap->div[b] = t;
1059
1060         for (i = 0; i < bmap->n_eq; ++i)
1061                 isl_int_swap(bmap->eq[i][1+off+a], bmap->eq[i][1+off+b]);
1062
1063         for (i = 0; i < bmap->n_ineq; ++i)
1064                 isl_int_swap(bmap->ineq[i][1+off+a], bmap->ineq[i][1+off+b]);
1065
1066         for (i = 0; i < bmap->n_div; ++i)
1067                 isl_int_swap(bmap->div[i][1+1+off+a], bmap->div[i][1+1+off+b]);
1068         ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
1069 }
1070
1071 /* Eliminate the specified n dimensions starting at first from the
1072  * constraints using Fourier-Motzkin, The dimensions themselves
1073  * are not removed.
1074  */
1075 struct isl_set *isl_set_eliminate_dims(struct isl_set *set,
1076         unsigned first, unsigned n)
1077 {
1078         int i;
1079         unsigned nparam;
1080
1081         if (!set)
1082                 return NULL;
1083         if (n == 0)
1084                 return set;
1085
1086         set = isl_set_cow(set);
1087         if (!set)
1088                 return NULL;
1089         isl_assert(set->ctx, first+n <= isl_set_n_dim(set), goto error);
1090         nparam = isl_set_n_param(set);
1091
1092         for (i = 0; i < set->n; ++i) {
1093                 set->p[i] = isl_basic_set_eliminate_vars(set->p[i],
1094                                                             nparam + first, n);
1095                 if (!set->p[i])
1096                         goto error;
1097         }
1098         return set;
1099 error:
1100         isl_set_free(set);
1101         return NULL;
1102 }
1103
1104 /* Project out n dimensions starting at first using Fourier-Motzkin */
1105 struct isl_set *isl_set_remove_dims(struct isl_set *set,
1106         unsigned first, unsigned n)
1107 {
1108         set = isl_set_eliminate_dims(set, first, n);
1109         set = isl_set_drop_dims(set, first, n);
1110         return set;
1111 }
1112
1113 struct isl_basic_set *isl_basic_set_remove_divs(struct isl_basic_set *bset)
1114 {
1115         bset = isl_basic_set_eliminate_vars(bset, isl_dim_total(bset->dim),
1116                                                 bset->n_div);
1117         if (!bset)
1118                 return NULL;
1119         bset->n_div = 0;
1120         return bset;
1121 }
1122
1123 struct isl_set *isl_set_remove_divs(struct isl_set *set)
1124 {
1125         int i;
1126
1127         if (!set)
1128                 return NULL;
1129         if (set->n == 0)
1130                 return set;
1131
1132         set = isl_set_cow(set);
1133         if (!set)
1134                 return NULL;
1135
1136         for (i = 0; i < set->n; ++i) {
1137                 set->p[i] = isl_basic_set_remove_divs(set->p[i]);
1138                 if (!set->p[i])
1139                         goto error;
1140         }
1141         return set;
1142 error:
1143         isl_set_free(set);
1144         return NULL;
1145 }
1146
1147 struct isl_basic_map *isl_basic_map_remove(struct isl_basic_map *bmap,
1148         enum isl_dim_type type, unsigned first, unsigned n)
1149 {
1150         if (!bmap)
1151                 return NULL;
1152         isl_assert(bmap->ctx, first + n <= isl_basic_map_dim(bmap, type),
1153                         goto error);
1154         if (n == 0)
1155                 return bmap;
1156         bmap = isl_basic_map_eliminate_vars(bmap,
1157                         isl_basic_map_offset(bmap, type) - 1 + first, n);
1158         bmap = isl_basic_map_drop(bmap, type, first, n);
1159         return bmap;
1160 error:
1161         isl_basic_map_free(bmap);
1162         return NULL;
1163 }
1164
1165 struct isl_map *isl_map_remove(struct isl_map *map,
1166         enum isl_dim_type type, unsigned first, unsigned n)
1167 {
1168         int i;
1169         unsigned nparam;
1170
1171         if (n == 0)
1172                 return map;
1173
1174         map = isl_map_cow(map);
1175         if (!map)
1176                 return NULL;
1177         isl_assert(map->ctx, first + n <= isl_map_dim(map, type), goto error);
1178
1179         for (i = 0; i < map->n; ++i) {
1180                 map->p[i] = isl_basic_map_eliminate_vars(map->p[i],
1181                         isl_basic_map_offset(map->p[i], type) - 1 + first, n);
1182                 if (!map->p[i])
1183                         goto error;
1184         }
1185         map = isl_map_drop(map, type, first, n);
1186         return map;
1187 error:
1188         isl_map_free(map);
1189         return NULL;
1190 }
1191
1192 /* Project out n inputs starting at first using Fourier-Motzkin */
1193 struct isl_map *isl_map_remove_inputs(struct isl_map *map,
1194         unsigned first, unsigned n)
1195 {
1196         return isl_map_remove(map, isl_dim_in, first, n);
1197 }
1198
1199 /* Project out n dimensions starting at first using Fourier-Motzkin */
1200 struct isl_basic_set *isl_basic_set_remove_dims(struct isl_basic_set *bset,
1201         unsigned first, unsigned n)
1202 {
1203         unsigned nparam = isl_basic_set_n_param(bset);
1204         bset = isl_basic_set_eliminate_vars(bset, nparam + first, n);
1205         bset = isl_basic_set_drop_dims(bset, first, n);
1206         return bset;
1207 }
1208
1209 static void dump_term(struct isl_basic_map *bmap,
1210                         isl_int c, int pos, FILE *out)
1211 {
1212         const char *name;
1213         unsigned in = isl_basic_map_n_in(bmap);
1214         unsigned dim = in + isl_basic_map_n_out(bmap);
1215         unsigned nparam = isl_basic_map_n_param(bmap);
1216         if (!pos)
1217                 isl_int_print(out, c, 0);
1218         else {
1219                 if (!isl_int_is_one(c))
1220                         isl_int_print(out, c, 0);
1221                 if (pos < 1 + nparam) {
1222                         name = isl_dim_get_name(bmap->dim,
1223                                                 isl_dim_param, pos - 1);
1224                         if (name)
1225                                 fprintf(out, "%s", name);
1226                         else
1227                                 fprintf(out, "p%d", pos - 1);
1228                 } else if (pos < 1 + nparam + in)
1229                         fprintf(out, "i%d", pos - 1 - nparam);
1230                 else if (pos < 1 + nparam + dim)
1231                         fprintf(out, "o%d", pos - 1 - nparam - in);
1232                 else
1233                         fprintf(out, "e%d", pos - 1 - nparam - dim);
1234         }
1235 }
1236
1237 static void dump_constraint_sign(struct isl_basic_map *bmap, isl_int *c,
1238                                 int sign, FILE *out)
1239 {
1240         int i;
1241         int first;
1242         unsigned len = 1 + isl_basic_map_total_dim(bmap);
1243         isl_int v;
1244
1245         isl_int_init(v);
1246         for (i = 0, first = 1; i < len; ++i) {
1247                 if (isl_int_sgn(c[i]) * sign <= 0)
1248                         continue;
1249                 if (!first)
1250                         fprintf(out, " + ");
1251                 first = 0;
1252                 isl_int_abs(v, c[i]);
1253                 dump_term(bmap, v, i, out);
1254         }
1255         isl_int_clear(v);
1256         if (first)
1257                 fprintf(out, "0");
1258 }
1259
1260 static void dump_constraint(struct isl_basic_map *bmap, isl_int *c,
1261                                 const char *op, FILE *out, int indent)
1262 {
1263         int i;
1264
1265         fprintf(out, "%*s", indent, "");
1266
1267         dump_constraint_sign(bmap, c, 1, out);
1268         fprintf(out, " %s ", op);
1269         dump_constraint_sign(bmap, c, -1, out);
1270
1271         fprintf(out, "\n");
1272
1273         for (i = bmap->n_div; i < bmap->extra; ++i) {
1274                 if (isl_int_is_zero(c[1+isl_dim_total(bmap->dim)+i]))
1275                         continue;
1276                 fprintf(out, "%*s", indent, "");
1277                 fprintf(out, "ERROR: unused div coefficient not zero\n");
1278                 abort();
1279         }
1280 }
1281
1282 static void dump_constraints(struct isl_basic_map *bmap,
1283                                 isl_int **c, unsigned n,
1284                                 const char *op, FILE *out, int indent)
1285 {
1286         int i;
1287
1288         for (i = 0; i < n; ++i)
1289                 dump_constraint(bmap, c[i], op, out, indent);
1290 }
1291
1292 static void dump_affine(struct isl_basic_map *bmap, isl_int *exp, FILE *out)
1293 {
1294         int j;
1295         int first = 1;
1296         unsigned total = isl_basic_map_total_dim(bmap);
1297
1298         for (j = 0; j < 1 + total; ++j) {
1299                 if (isl_int_is_zero(exp[j]))
1300                         continue;
1301                 if (!first && isl_int_is_pos(exp[j]))
1302                         fprintf(out, "+");
1303                 dump_term(bmap, exp[j], j, out);
1304                 first = 0;
1305         }
1306 }
1307
1308 static void dump(struct isl_basic_map *bmap, FILE *out, int indent)
1309 {
1310         int i;
1311
1312         dump_constraints(bmap, bmap->eq, bmap->n_eq, "=", out, indent);
1313         dump_constraints(bmap, bmap->ineq, bmap->n_ineq, ">=", out, indent);
1314
1315         for (i = 0; i < bmap->n_div; ++i) {
1316                 fprintf(out, "%*s", indent, "");
1317                 fprintf(out, "e%d = [(", i);
1318                 dump_affine(bmap, bmap->div[i]+1, out);
1319                 fprintf(out, ")/");
1320                 isl_int_print(out, bmap->div[i][0], 0);
1321                 fprintf(out, "]\n");
1322         }
1323 }
1324
1325 void isl_basic_set_dump(struct isl_basic_set *bset, FILE *out, int indent)
1326 {
1327         if (!bset) {
1328                 fprintf(out, "null basic set\n");
1329                 return;
1330         }
1331
1332         fprintf(out, "%*s", indent, "");
1333         fprintf(out, "ref: %d, nparam: %d, dim: %d, extra: %d, flags: %x\n",
1334                         bset->ref, bset->dim->nparam, bset->dim->n_out,
1335                         bset->extra, bset->flags);
1336         dump((struct isl_basic_map *)bset, out, indent);
1337 }
1338
1339 void isl_basic_map_dump(struct isl_basic_map *bmap, FILE *out, int indent)
1340 {
1341         if (!bmap) {
1342                 fprintf(out, "null basic map\n");
1343                 return;
1344         }
1345
1346         fprintf(out, "%*s", indent, "");
1347         fprintf(out, "ref: %d, nparam: %d, in: %d, out: %d, extra: %d, "
1348                         "flags: %x, n_name: %d\n",
1349                 bmap->ref,
1350                 bmap->dim->nparam, bmap->dim->n_in, bmap->dim->n_out,
1351                 bmap->extra, bmap->flags, bmap->dim->n_name);
1352         dump(bmap, out, indent);
1353 }
1354
1355 int isl_inequality_negate(struct isl_basic_map *bmap, unsigned pos)
1356 {
1357         unsigned total;
1358         if (!bmap)
1359                 return -1;
1360         total = isl_basic_map_total_dim(bmap);
1361         isl_assert(bmap->ctx, pos < bmap->n_ineq, return -1);
1362         isl_seq_neg(bmap->ineq[pos], bmap->ineq[pos], 1 + total);
1363         isl_int_sub_ui(bmap->ineq[pos][0], bmap->ineq[pos][0], 1);
1364         ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
1365         return 0;
1366 }
1367
1368 struct isl_set *isl_set_alloc_dim(struct isl_dim *dim, int n, unsigned flags)
1369 {
1370         struct isl_set *set;
1371
1372         if (!dim)
1373                 return NULL;
1374         isl_assert(dim->ctx, dim->n_in == 0, return NULL);
1375         isl_assert(dim->ctx, n >= 0, return NULL);
1376         set = isl_alloc(dim->ctx, struct isl_set,
1377                         sizeof(struct isl_set) +
1378                         n * sizeof(struct isl_basic_set *));
1379         if (!set)
1380                 goto error;
1381
1382         set->ctx = dim->ctx;
1383         isl_ctx_ref(set->ctx);
1384         set->ref = 1;
1385         set->size = n;
1386         set->n = 0;
1387         set->dim = dim;
1388         set->flags = flags;
1389         return set;
1390 error:
1391         isl_dim_free(dim);
1392         return NULL;
1393 }
1394
1395 struct isl_set *isl_set_alloc(struct isl_ctx *ctx,
1396                 unsigned nparam, unsigned dim, int n, unsigned flags)
1397 {
1398         struct isl_set *set;
1399         struct isl_dim *dims;
1400
1401         dims = isl_dim_alloc(ctx, nparam, 0, dim);
1402         if (!dims)
1403                 return NULL;
1404
1405         set = isl_set_alloc_dim(dims, n, flags);
1406         return set;
1407 }
1408
1409 struct isl_set *isl_set_dup(struct isl_set *set)
1410 {
1411         int i;
1412         struct isl_set *dup;
1413
1414         if (!set)
1415                 return NULL;
1416
1417         dup = isl_set_alloc_dim(isl_dim_copy(set->dim), set->n, set->flags);
1418         if (!dup)
1419                 return NULL;
1420         for (i = 0; i < set->n; ++i)
1421                 dup = isl_set_add(dup, isl_basic_set_copy(set->p[i]));
1422         return dup;
1423 }
1424
1425 struct isl_set *isl_set_from_basic_set(struct isl_basic_set *bset)
1426 {
1427         struct isl_set *set;
1428
1429         if (!bset)
1430                 return NULL;
1431
1432         set = isl_set_alloc_dim(isl_dim_copy(bset->dim), 1, ISL_MAP_DISJOINT);
1433         if (!set) {
1434                 isl_basic_set_free(bset);
1435                 return NULL;
1436         }
1437         return isl_set_add(set, bset);
1438 }
1439
1440 struct isl_map *isl_map_from_basic_map(struct isl_basic_map *bmap)
1441 {
1442         struct isl_map *map;
1443
1444         if (!bmap)
1445                 return NULL;
1446
1447         map = isl_map_alloc_dim(isl_dim_copy(bmap->dim), 1, ISL_MAP_DISJOINT);
1448         if (!map) {
1449                 isl_basic_map_free(bmap);
1450                 return NULL;
1451         }
1452         return isl_map_add(map, bmap);
1453 }
1454
1455 struct isl_set *isl_set_add(struct isl_set *set, struct isl_basic_set *bset)
1456 {
1457         if (!bset || !set)
1458                 goto error;
1459         isl_assert(set->ctx, isl_dim_equal(set->dim, bset->dim), goto error);
1460         isl_assert(set->ctx, set->n < set->size, goto error);
1461         set->p[set->n] = bset;
1462         set->n++;
1463         return set;
1464 error:
1465         if (set)
1466                 isl_set_free(set);
1467         if (bset)
1468                 isl_basic_set_free(bset);
1469         return NULL;
1470 }
1471
1472 void isl_set_free(struct isl_set *set)
1473 {
1474         int i;
1475
1476         if (!set)
1477                 return;
1478
1479         if (--set->ref > 0)
1480                 return;
1481
1482         isl_ctx_deref(set->ctx);
1483         for (i = 0; i < set->n; ++i)
1484                 isl_basic_set_free(set->p[i]);
1485         isl_dim_free(set->dim);
1486         free(set);
1487 }
1488
1489 void isl_set_dump(struct isl_set *set, FILE *out, int indent)
1490 {
1491         int i;
1492
1493         if (!set) {
1494                 fprintf(out, "null set\n");
1495                 return;
1496         }
1497
1498         fprintf(out, "%*s", indent, "");
1499         fprintf(out, "ref: %d, n: %d, nparam: %d, dim: %d, flags: %x\n",
1500                         set->ref, set->n, set->dim->nparam, set->dim->n_out,
1501                         set->flags);
1502         for (i = 0; i < set->n; ++i) {
1503                 fprintf(out, "%*s", indent, "");
1504                 fprintf(out, "basic set %d:\n", i);
1505                 isl_basic_set_dump(set->p[i], out, indent+4);
1506         }
1507 }
1508
1509 void isl_map_dump(struct isl_map *map, FILE *out, int indent)
1510 {
1511         int i;
1512
1513         if (!map) {
1514                 fprintf(out, "null map\n");
1515                 return;
1516         }
1517
1518         fprintf(out, "%*s", indent, "");
1519         fprintf(out, "ref: %d, n: %d, nparam: %d, in: %d, out: %d, "
1520                      "flags: %x, n_name: %d\n",
1521                         map->ref, map->n, map->dim->nparam, map->dim->n_in,
1522                         map->dim->n_out, map->flags, map->dim->n_name);
1523         for (i = 0; i < map->n; ++i) {
1524                 fprintf(out, "%*s", indent, "");
1525                 fprintf(out, "basic map %d:\n", i);
1526                 isl_basic_map_dump(map->p[i], out, indent+4);
1527         }
1528 }
1529
1530 struct isl_basic_map *isl_basic_map_intersect_domain(
1531                 struct isl_basic_map *bmap, struct isl_basic_set *bset)
1532 {
1533         struct isl_basic_map *bmap_domain;
1534         struct isl_dim *dim;
1535
1536         if (!bmap || !bset)
1537                 goto error;
1538
1539         isl_assert(bset->ctx, isl_dim_match(bmap->dim, isl_dim_param,
1540                                         bset->dim, isl_dim_param), goto error);
1541
1542         if (isl_dim_size(bset->dim, isl_dim_set) != 0)
1543                 isl_assert(bset->ctx,
1544                     isl_basic_map_compatible_domain(bmap, bset), goto error);
1545
1546         bmap = isl_basic_map_cow(bmap);
1547         bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
1548                         bset->n_div, bset->n_eq, bset->n_ineq);
1549         if (!bmap)
1550                 goto error;
1551         dim = isl_dim_reverse(isl_dim_copy(bset->dim));
1552         bmap_domain = isl_basic_map_from_basic_set(bset, dim);
1553         bmap = add_constraints(bmap, bmap_domain, 0, 0);
1554
1555         bmap = isl_basic_map_simplify(bmap);
1556         return isl_basic_map_finalize(bmap);
1557 error:
1558         isl_basic_map_free(bmap);
1559         isl_basic_set_free(bset);
1560         return NULL;
1561 }
1562
1563 struct isl_basic_map *isl_basic_map_intersect_range(
1564                 struct isl_basic_map *bmap, struct isl_basic_set *bset)
1565 {
1566         struct isl_basic_map *bmap_range;
1567
1568         if (!bmap || !bset)
1569                 goto error;
1570
1571         isl_assert(bset->ctx, isl_dim_match(bmap->dim, isl_dim_param,
1572                                         bset->dim, isl_dim_param), goto error);
1573
1574         if (isl_dim_size(bset->dim, isl_dim_set) != 0)
1575                 isl_assert(bset->ctx,
1576                     isl_basic_map_compatible_range(bmap, bset), goto error);
1577
1578         bmap = isl_basic_map_cow(bmap);
1579         bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
1580                         bset->n_div, bset->n_eq, bset->n_ineq);
1581         if (!bmap)
1582                 goto error;
1583         bmap_range = isl_basic_map_from_basic_set(bset, isl_dim_copy(bset->dim));
1584         bmap = add_constraints(bmap, bmap_range, 0, 0);
1585
1586         bmap = isl_basic_map_simplify(bmap);
1587         return isl_basic_map_finalize(bmap);
1588 error:
1589         isl_basic_map_free(bmap);
1590         isl_basic_set_free(bset);
1591         return NULL;
1592 }
1593
1594 static int basic_map_contains(struct isl_basic_map *bmap, struct isl_vec *vec)
1595 {
1596         int i;
1597         unsigned total;
1598         isl_int s;
1599
1600         total = 1 + isl_basic_map_total_dim(bmap);
1601         if (total != vec->size)
1602                 return -1;
1603
1604         isl_int_init(s);
1605
1606         for (i = 0; i < bmap->n_eq; ++i) {
1607                 isl_seq_inner_product(vec->block.data, bmap->eq[i], total, &s);
1608                 if (!isl_int_is_zero(s)) {
1609                         isl_int_clear(s);
1610                         return 0;
1611                 }
1612         }
1613
1614         for (i = 0; i < bmap->n_ineq; ++i) {
1615                 isl_seq_inner_product(vec->block.data, bmap->ineq[i], total, &s);
1616                 if (isl_int_is_neg(s)) {
1617                         isl_int_clear(s);
1618                         return 0;
1619                 }
1620         }
1621
1622         isl_int_clear(s);
1623
1624         return 1;
1625 }
1626
1627 int isl_basic_set_contains(struct isl_basic_set *bset, struct isl_vec *vec)
1628 {
1629         return basic_map_contains((struct isl_basic_map *)bset, vec);
1630 }
1631
1632 struct isl_basic_map *isl_basic_map_intersect(
1633                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
1634 {
1635         struct isl_vec *sample = NULL;
1636
1637         if (!bmap1 || !bmap2)
1638                 goto error;
1639
1640         isl_assert(bmap1->ctx, isl_dim_match(bmap1->dim, isl_dim_param,
1641                                      bmap2->dim, isl_dim_param), goto error);
1642         if (isl_dim_total(bmap1->dim) ==
1643                                 isl_dim_size(bmap1->dim, isl_dim_param) &&
1644             isl_dim_total(bmap2->dim) !=
1645                                 isl_dim_size(bmap2->dim, isl_dim_param))
1646                 return isl_basic_map_intersect(bmap2, bmap1);
1647
1648         if (isl_dim_total(bmap2->dim) !=
1649                                         isl_dim_size(bmap2->dim, isl_dim_param))
1650                 isl_assert(bmap1->ctx,
1651                             isl_dim_equal(bmap1->dim, bmap2->dim), goto error);
1652
1653         if (bmap1->sample &&
1654             basic_map_contains(bmap1, bmap1->sample) > 0 &&
1655             basic_map_contains(bmap2, bmap1->sample) > 0)
1656                 sample = isl_vec_copy(bmap1->ctx, bmap1->sample);
1657         else if (bmap2->sample &&
1658             basic_map_contains(bmap1, bmap2->sample) > 0 &&
1659             basic_map_contains(bmap2, bmap2->sample) > 0)
1660                 sample = isl_vec_copy(bmap2->ctx, bmap2->sample);
1661
1662         bmap1 = isl_basic_map_cow(bmap1);
1663         bmap1 = isl_basic_map_extend_dim(bmap1, isl_dim_copy(bmap1->dim),
1664                         bmap2->n_div, bmap2->n_eq, bmap2->n_ineq);
1665         if (!bmap1)
1666                 goto error;
1667         bmap1 = add_constraints(bmap1, bmap2, 0, 0);
1668
1669         if (sample) {
1670                 isl_vec_free(bmap1->ctx, bmap1->sample);
1671                 bmap1->sample = sample;
1672         }
1673
1674         bmap1 = isl_basic_map_simplify(bmap1);
1675         return isl_basic_map_finalize(bmap1);
1676 error:
1677         if (sample)
1678                 isl_vec_free(bmap1->ctx, sample);
1679         isl_basic_map_free(bmap1);
1680         isl_basic_map_free(bmap2);
1681         return NULL;
1682 }
1683
1684 struct isl_basic_set *isl_basic_set_intersect(
1685                 struct isl_basic_set *bset1, struct isl_basic_set *bset2)
1686 {
1687         return (struct isl_basic_set *)
1688                 isl_basic_map_intersect(
1689                         (struct isl_basic_map *)bset1,
1690                         (struct isl_basic_map *)bset2);
1691 }
1692
1693 struct isl_map *isl_map_intersect(struct isl_map *map1, struct isl_map *map2)
1694 {
1695         unsigned flags = 0;
1696         struct isl_map *result;
1697         int i, j;
1698
1699         if (!map1 || !map2)
1700                 goto error;
1701
1702         isl_assert(map1->ctx, isl_dim_match(map1->dim, isl_dim_param,
1703                                          map2->dim, isl_dim_param), goto error);
1704         if (isl_dim_total(map1->dim) ==
1705                                 isl_dim_size(map1->dim, isl_dim_param) &&
1706             isl_dim_total(map2->dim) != isl_dim_size(map2->dim, isl_dim_param))
1707                 return isl_map_intersect(map2, map1);
1708
1709         if (isl_dim_total(map2->dim) != isl_dim_size(map2->dim, isl_dim_param))
1710                 isl_assert(map1->ctx,
1711                             isl_dim_equal(map1->dim, map2->dim), goto error);
1712
1713         if (ISL_F_ISSET(map1, ISL_MAP_DISJOINT) &&
1714             ISL_F_ISSET(map2, ISL_MAP_DISJOINT))
1715                 ISL_FL_SET(flags, ISL_MAP_DISJOINT);
1716
1717         result = isl_map_alloc_dim(isl_dim_copy(map1->dim),
1718                                 map1->n * map2->n, flags);
1719         if (!result)
1720                 goto error;
1721         for (i = 0; i < map1->n; ++i)
1722                 for (j = 0; j < map2->n; ++j) {
1723                         struct isl_basic_map *part;
1724                         part = isl_basic_map_intersect(
1725                                     isl_basic_map_copy(map1->p[i]),
1726                                     isl_basic_map_copy(map2->p[j]));
1727                         if (isl_basic_map_is_empty(part))
1728                                 isl_basic_map_free(part);
1729                         else
1730                                 result = isl_map_add(result, part);
1731                         if (!result)
1732                                 goto error;
1733                 }
1734         isl_map_free(map1);
1735         isl_map_free(map2);
1736         return result;
1737 error:
1738         isl_map_free(map1);
1739         isl_map_free(map2);
1740         return NULL;
1741 }
1742
1743 struct isl_set *isl_set_intersect(struct isl_set *set1, struct isl_set *set2)
1744 {
1745         return (struct isl_set *)
1746                 isl_map_intersect((struct isl_map *)set1,
1747                                   (struct isl_map *)set2);
1748 }
1749
1750 struct isl_basic_map *isl_basic_map_reverse(struct isl_basic_map *bmap)
1751 {
1752         struct isl_dim *dim;
1753         struct isl_basic_set *bset;
1754         unsigned in;
1755
1756         if (!bmap)
1757                 return NULL;
1758         bmap = isl_basic_map_cow(bmap);
1759         if (!bmap)
1760                 return NULL;
1761         dim = isl_dim_reverse(isl_dim_copy(bmap->dim));
1762         in = isl_basic_map_n_in(bmap);
1763         bset = isl_basic_set_from_basic_map(bmap);
1764         bset = isl_basic_set_swap_vars(bset, in);
1765         return isl_basic_map_from_basic_set(bset, dim);
1766 }
1767
1768 /* Turn final n dimensions into existentially quantified variables.
1769  */
1770 struct isl_basic_set *isl_basic_set_project_out(
1771                 struct isl_basic_set *bset, unsigned n, unsigned flags)
1772 {
1773         int i;
1774         size_t row_size;
1775         isl_int **new_div;
1776         isl_int *old;
1777
1778         if (!bset)
1779                 return NULL;
1780
1781         isl_assert(bset->ctx, n <= isl_basic_set_n_dim(bset), goto error);
1782
1783         if (n == 0)
1784                 return bset;
1785
1786         bset = isl_basic_set_cow(bset);
1787
1788         row_size = 1 + isl_dim_total(bset->dim) + bset->extra;
1789         old = bset->block2.data;
1790         bset->block2 = isl_blk_extend(bset->ctx, bset->block2,
1791                                         (bset->extra + n) * (1 + row_size));
1792         if (!bset->block2.data)
1793                 goto error;
1794         new_div = isl_alloc_array(ctx, isl_int *, bset->extra + n);
1795         if (!new_div)
1796                 goto error;
1797         for (i = 0; i < n; ++i) {
1798                 new_div[i] = bset->block2.data +
1799                                 (bset->extra + i) * (1 + row_size);
1800                 isl_seq_clr(new_div[i], 1 + row_size);
1801         }
1802         for (i = 0; i < bset->extra; ++i)
1803                 new_div[n + i] = bset->block2.data + (bset->div[i] - old);
1804         free(bset->div);
1805         bset->div = new_div;
1806         bset->n_div += n;
1807         bset->extra += n;
1808         bset->dim = isl_dim_drop_outputs(bset->dim,
1809                                             isl_basic_set_n_dim(bset) - n, n);
1810         if (!bset->dim)
1811                 goto error;
1812         bset = isl_basic_set_simplify(bset);
1813         return isl_basic_set_finalize(bset);
1814 error:
1815         isl_basic_set_free(bset);
1816         return NULL;
1817 }
1818
1819 struct isl_basic_map *add_divs(struct isl_basic_map *bmap, unsigned n)
1820 {
1821         int i, j;
1822
1823         for (i = 0; i < n; ++i) {
1824                 j = isl_basic_map_alloc_div(bmap);
1825                 if (j < 0)
1826                         goto error;
1827                 isl_seq_clr(bmap->div[j], 1+1+isl_basic_map_total_dim(bmap));
1828         }
1829         return bmap;
1830 error:
1831         isl_basic_map_free(bmap);
1832         return NULL;
1833 }
1834
1835 struct isl_basic_map *isl_basic_map_apply_range(
1836                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
1837 {
1838         struct isl_dim *dim_result = NULL;
1839         struct isl_basic_map *bmap;
1840         unsigned n_in, n_out, n, nparam, total, pos;
1841         struct isl_dim_map *dim_map1, *dim_map2;
1842
1843         if (!bmap1 || !bmap2)
1844                 goto error;
1845
1846         dim_result = isl_dim_join(isl_dim_copy(bmap1->dim),
1847                                   isl_dim_copy(bmap2->dim));
1848
1849         n_in = isl_basic_map_n_in(bmap1);
1850         n_out = isl_basic_map_n_out(bmap2);
1851         n = isl_basic_map_n_out(bmap1);
1852         nparam = isl_basic_map_n_param(bmap1);
1853
1854         total = nparam + n_in + n_out + bmap1->n_div + bmap2->n_div + n;
1855         dim_map1 = isl_dim_map_alloc(bmap1->ctx, total);
1856         dim_map2 = isl_dim_map_alloc(bmap1->ctx, total);
1857         isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_param, pos = 0);
1858         isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_param, pos = 0);
1859         isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_in, pos += nparam);
1860         isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_out, pos += n_in);
1861         isl_dim_map_div(dim_map1, bmap1, pos += n_out);
1862         isl_dim_map_div(dim_map2, bmap2, pos += bmap1->n_div);
1863         isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_out, pos += bmap2->n_div);
1864         isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_in, pos);
1865
1866         bmap = isl_basic_map_alloc_dim(dim_result,
1867                         bmap1->n_div + bmap2->n_div + n,
1868                         bmap1->n_eq + bmap2->n_eq,
1869                         bmap1->n_ineq + bmap2->n_ineq);
1870         bmap = add_constraints_dim_map(bmap, bmap1, dim_map1);
1871         bmap = add_constraints_dim_map(bmap, bmap2, dim_map2);
1872         bmap = add_divs(bmap, n);
1873         bmap = isl_basic_map_simplify(bmap);
1874         return isl_basic_map_finalize(bmap);
1875 error:
1876         isl_basic_map_free(bmap1);
1877         isl_basic_map_free(bmap2);
1878         return NULL;
1879 }
1880
1881 struct isl_basic_set *isl_basic_set_apply(
1882                 struct isl_basic_set *bset, struct isl_basic_map *bmap)
1883 {
1884         if (!bset || !bmap)
1885                 goto error;
1886
1887         isl_assert(set->ctx, isl_basic_map_compatible_domain(bmap, bset),
1888                     goto error);
1889
1890         return (struct isl_basic_set *)
1891                 isl_basic_map_apply_range((struct isl_basic_map *)bset, bmap);
1892 error:
1893         isl_basic_set_free(bset);
1894         isl_basic_map_free(bmap);
1895         return NULL;
1896 }
1897
1898 struct isl_basic_map *isl_basic_map_apply_domain(
1899                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
1900 {
1901         if (!bmap1 || !bmap2)
1902                 goto error;
1903
1904         isl_assert(ctx,
1905             isl_basic_map_n_in(bmap1) == isl_basic_map_n_in(bmap2), goto error);
1906         isl_assert(ctx,
1907             isl_basic_map_n_param(bmap1) == isl_basic_map_n_param(bmap2),
1908             goto error);
1909
1910         bmap1 = isl_basic_map_reverse(bmap1);
1911         bmap1 = isl_basic_map_apply_range(bmap1, bmap2);
1912         return isl_basic_map_reverse(bmap1);
1913 error:
1914         isl_basic_map_free(bmap1);
1915         isl_basic_map_free(bmap2);
1916         return NULL;
1917 }
1918
1919 /* Given two basic maps A -> f(A) and B -> g(B), construct a basic map
1920  * A \cap B -> f(A) + f(B)
1921  */
1922 struct isl_basic_map *isl_basic_map_sum(
1923                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
1924 {
1925         unsigned n_in, n_out, nparam, total, pos;
1926         struct isl_basic_map *bmap = NULL;
1927         struct isl_dim_map *dim_map1, *dim_map2;
1928         int i;
1929
1930         if (!bmap1 || !bmap2)
1931                 goto error;
1932
1933         isl_assert(bmap1->ctx, isl_dim_equal(bmap1->dim, bmap2->dim),
1934                 goto error);
1935
1936         nparam = isl_basic_map_n_param(bmap1);
1937         n_in = isl_basic_map_n_in(bmap1);
1938         n_out = isl_basic_map_n_out(bmap1);
1939
1940         total = nparam + n_in + n_out + bmap1->n_div + bmap2->n_div + 2 * n_out;
1941         dim_map1 = isl_dim_map_alloc(bmap1->ctx, total);
1942         dim_map2 = isl_dim_map_alloc(bmap2->ctx, total);
1943         isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_param, pos = 0);
1944         isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_param, pos);
1945         isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_in, pos += nparam);
1946         isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_in, pos);
1947         isl_dim_map_div(dim_map1, bmap1, pos += n_in + n_out);
1948         isl_dim_map_div(dim_map2, bmap2, pos += bmap1->n_div);
1949         isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_out, pos += bmap2->n_div);
1950         isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_out, pos += n_out);
1951
1952         bmap = isl_basic_map_alloc_dim(isl_dim_copy(bmap1->dim),
1953                         bmap1->n_div + bmap2->n_div + 2 * n_out,
1954                         bmap1->n_eq + bmap2->n_eq + n_out,
1955                         bmap1->n_ineq + bmap2->n_ineq);
1956         for (i = 0; i < n_out; ++i) {
1957                 int j = isl_basic_map_alloc_equality(bmap);
1958                 if (j < 0)
1959                         goto error;
1960                 isl_seq_clr(bmap->eq[j], 1+total);
1961                 isl_int_set_si(bmap->eq[j][1+nparam+n_in+i], -1);
1962                 isl_int_set_si(bmap->eq[j][1+pos+i], 1);
1963                 isl_int_set_si(bmap->eq[j][1+pos-n_out+i], 1);
1964         }
1965         bmap = add_constraints_dim_map(bmap, bmap1, dim_map1);
1966         bmap = add_constraints_dim_map(bmap, bmap2, dim_map2);
1967         bmap = add_divs(bmap, 2 * n_out);
1968
1969         bmap = isl_basic_map_simplify(bmap);
1970         return isl_basic_map_finalize(bmap);
1971 error:
1972         isl_basic_map_free(bmap);
1973         isl_basic_map_free(bmap1);
1974         isl_basic_map_free(bmap2);
1975         return NULL;
1976 }
1977
1978 /* Given a basic map A -> f(A), construct A -> -f(A).
1979  */
1980 struct isl_basic_map *isl_basic_map_neg(struct isl_basic_map *bmap)
1981 {
1982         int i, j;
1983         unsigned off, n;
1984
1985         bmap = isl_basic_map_cow(bmap);
1986         if (!bmap)
1987                 return NULL;
1988
1989         n = isl_basic_map_dim(bmap, isl_dim_out);
1990         off = isl_basic_map_offset(bmap, isl_dim_out);
1991         for (i = 0; i < bmap->n_eq; ++i)
1992                 for (j = 0; j < n; ++j)
1993                         isl_int_neg(bmap->eq[i][off+j], bmap->eq[i][off+j]);
1994         for (i = 0; i < bmap->n_ineq; ++i)
1995                 for (j = 0; j < n; ++j)
1996                         isl_int_neg(bmap->ineq[i][off+j], bmap->ineq[i][off+j]);
1997         for (i = 0; i < bmap->n_div; ++i)
1998                 for (j = 0; j < n; ++j)
1999                         isl_int_neg(bmap->div[i][1+off+j], bmap->div[i][1+off+j]);
2000         return isl_basic_map_finalize(bmap);
2001 }
2002
2003 /* Given a basic map A -> f(A) and an integer d, construct a basic map
2004  * A -> floor(f(A)/d).
2005  */
2006 struct isl_basic_map *isl_basic_map_floordiv(struct isl_basic_map *bmap,
2007                 isl_int d)
2008 {
2009         unsigned n_in, n_out, nparam, total, pos;
2010         struct isl_basic_map *result = NULL;
2011         struct isl_dim_map *dim_map;
2012         int i;
2013
2014         if (!bmap)
2015                 return NULL;
2016
2017         nparam = isl_basic_map_n_param(bmap);
2018         n_in = isl_basic_map_n_in(bmap);
2019         n_out = isl_basic_map_n_out(bmap);
2020
2021         total = nparam + n_in + n_out + bmap->n_div + n_out;
2022         dim_map = isl_dim_map_alloc(bmap->ctx, total);
2023         isl_dim_map_dim(dim_map, bmap->dim, isl_dim_param, pos = 0);
2024         isl_dim_map_dim(dim_map, bmap->dim, isl_dim_in, pos += nparam);
2025         isl_dim_map_div(dim_map, bmap, pos += n_in + n_out);
2026         isl_dim_map_dim(dim_map, bmap->dim, isl_dim_out, pos += bmap->n_div);
2027
2028         result = isl_basic_map_alloc_dim(isl_dim_copy(bmap->dim),
2029                         bmap->n_div + n_out,
2030                         bmap->n_eq, bmap->n_ineq + 2 * n_out);
2031         result = add_constraints_dim_map(result, bmap, dim_map);
2032         result = add_divs(result, n_out);
2033         for (i = 0; i < n_out; ++i) {
2034                 int j;
2035                 j = isl_basic_map_alloc_inequality(result);
2036                 if (j < 0)
2037                         goto error;
2038                 isl_seq_clr(result->ineq[j], 1+total);
2039                 isl_int_neg(result->ineq[j][1+nparam+n_in+i], d);
2040                 isl_int_set_si(result->ineq[j][1+pos+i], 1);
2041                 j = isl_basic_map_alloc_inequality(result);
2042                 if (j < 0)
2043                         goto error;
2044                 isl_seq_clr(result->ineq[j], 1+total);
2045                 isl_int_set(result->ineq[j][1+nparam+n_in+i], d);
2046                 isl_int_set_si(result->ineq[j][1+pos+i], -1);
2047                 isl_int_sub_ui(result->ineq[j][0], d, 1);
2048         }
2049
2050         result = isl_basic_map_simplify(result);
2051         return isl_basic_map_finalize(result);
2052 error:
2053         isl_basic_map_free(result);
2054         return NULL;
2055 }
2056
2057 static struct isl_basic_map *var_equal(struct isl_basic_map *bmap, unsigned pos)
2058 {
2059         int i;
2060         unsigned nparam;
2061         unsigned n_in;
2062
2063         i = isl_basic_map_alloc_equality(bmap);
2064         if (i < 0)
2065                 goto error;
2066         nparam = isl_basic_map_n_param(bmap);
2067         n_in = isl_basic_map_n_in(bmap);
2068         isl_seq_clr(bmap->eq[i], 1 + isl_basic_map_total_dim(bmap));
2069         isl_int_set_si(bmap->eq[i][1+nparam+pos], -1);
2070         isl_int_set_si(bmap->eq[i][1+nparam+n_in+pos], 1);
2071         return isl_basic_map_finalize(bmap);
2072 error:
2073         isl_basic_map_free(bmap);
2074         return NULL;
2075 }
2076
2077 static struct isl_basic_map *var_more(struct isl_basic_map *bmap, unsigned pos)
2078 {
2079         int i;
2080         unsigned nparam;
2081         unsigned n_in;
2082
2083         i = isl_basic_map_alloc_inequality(bmap);
2084         if (i < 0)
2085                 goto error;
2086         nparam = isl_basic_map_n_param(bmap);
2087         n_in = isl_basic_map_n_in(bmap);
2088         isl_seq_clr(bmap->ineq[i], 1 + isl_basic_map_total_dim(bmap));
2089         isl_int_set_si(bmap->ineq[i][0], -1);
2090         isl_int_set_si(bmap->ineq[i][1+nparam+pos], -1);
2091         isl_int_set_si(bmap->ineq[i][1+nparam+n_in+pos], 1);
2092         return isl_basic_map_finalize(bmap);
2093 error:
2094         isl_basic_map_free(bmap);
2095         return NULL;
2096 }
2097
2098 static struct isl_basic_map *var_less(struct isl_basic_map *bmap, unsigned pos)
2099 {
2100         int i;
2101         unsigned nparam;
2102         unsigned n_in;
2103
2104         i = isl_basic_map_alloc_inequality(bmap);
2105         if (i < 0)
2106                 goto error;
2107         nparam = isl_basic_map_n_param(bmap);
2108         n_in = isl_basic_map_n_in(bmap);
2109         isl_seq_clr(bmap->ineq[i], 1 + isl_basic_map_total_dim(bmap));
2110         isl_int_set_si(bmap->ineq[i][0], -1);
2111         isl_int_set_si(bmap->ineq[i][1+nparam+pos], 1);
2112         isl_int_set_si(bmap->ineq[i][1+nparam+n_in+pos], -1);
2113         return isl_basic_map_finalize(bmap);
2114 error:
2115         isl_basic_map_free(bmap);
2116         return NULL;
2117 }
2118
2119 struct isl_basic_map *isl_basic_map_equal(struct isl_dim *dim, unsigned n_equal)
2120 {
2121         int i;
2122         struct isl_basic_map *bmap;
2123         bmap = isl_basic_map_alloc_dim(dim, 0, n_equal, 0);
2124         if (!bmap)
2125                 return NULL;
2126         for (i = 0; i < n_equal && bmap; ++i)
2127                 bmap = var_equal(bmap, i);
2128         return isl_basic_map_finalize(bmap);
2129 }
2130
2131 struct isl_basic_map *isl_basic_map_less_at(struct isl_dim *dim, unsigned pos)
2132 {
2133         int i;
2134         struct isl_basic_map *bmap;
2135         bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
2136         if (!bmap)
2137                 return NULL;
2138         for (i = 0; i < pos && bmap; ++i)
2139                 bmap = var_equal(bmap, i);
2140         if (bmap)
2141                 bmap = var_less(bmap, pos);
2142         return isl_basic_map_finalize(bmap);
2143 }
2144
2145 struct isl_basic_map *isl_basic_map_more_at(struct isl_dim *dim, unsigned pos)
2146 {
2147         int i;
2148         struct isl_basic_map *bmap;
2149         bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
2150         if (!bmap)
2151                 return NULL;
2152         for (i = 0; i < pos && bmap; ++i)
2153                 bmap = var_equal(bmap, i);
2154         if (bmap)
2155                 bmap = var_more(bmap, pos);
2156         return isl_basic_map_finalize(bmap);
2157 }
2158
2159 struct isl_basic_map *isl_basic_map_from_basic_set(
2160                 struct isl_basic_set *bset, struct isl_dim *dim)
2161 {
2162         struct isl_basic_map *bmap;
2163
2164         bset = isl_basic_set_cow(bset);
2165         if (!bset || !dim)
2166                 goto error;
2167
2168         isl_assert(bset->ctx, isl_dim_compatible(bset->dim, dim), goto error);
2169         isl_dim_free(bset->dim);
2170         bmap = (struct isl_basic_map *) bset;
2171         bmap->dim = dim;
2172         return isl_basic_map_finalize(bmap);
2173 error:
2174         isl_basic_set_free(bset);
2175         isl_dim_free(dim);
2176         return NULL;
2177 }
2178
2179 struct isl_basic_set *isl_basic_set_from_basic_map(struct isl_basic_map *bmap)
2180 {
2181         if (!bmap)
2182                 goto error;
2183         if (bmap->dim->n_in == 0)
2184                 return (struct isl_basic_set *)bmap;
2185         bmap = isl_basic_map_cow(bmap);
2186         if (!bmap)
2187                 goto error;
2188         bmap->dim = isl_dim_cow(bmap->dim);
2189         if (!bmap->dim)
2190                 goto error;
2191         bmap->dim->n_out += bmap->dim->n_in;
2192         bmap->dim->n_in = 0;
2193         bmap = isl_basic_map_finalize(bmap);
2194         return (struct isl_basic_set *)bmap;
2195 error:
2196         isl_basic_map_free(bmap);
2197         return NULL;
2198 }
2199
2200 /* For a div d = floor(f/m), add the constraints
2201  *
2202  *              f - m d >= 0
2203  *              -(f-(n-1)) + m d >= 0
2204  *
2205  * Note that the second constraint is the negation of
2206  *
2207  *              f - m d >= n
2208  */
2209 static int add_div_constraints(struct isl_basic_map *bmap, unsigned div)
2210 {
2211         int i, j;
2212         unsigned total = isl_basic_map_total_dim(bmap);
2213         unsigned div_pos = 1 + total - bmap->n_div + div;
2214
2215         i = isl_basic_map_alloc_inequality(bmap);
2216         if (i < 0)
2217                 return -1;
2218         isl_seq_cpy(bmap->ineq[i], bmap->div[div]+1, 1+total);
2219         isl_int_neg(bmap->ineq[i][div_pos], bmap->div[div][0]);
2220
2221         j = isl_basic_map_alloc_inequality(bmap);
2222         if (j < 0)
2223                 return -1;
2224         isl_seq_neg(bmap->ineq[j], bmap->ineq[i], 1 + total);
2225         isl_int_add(bmap->ineq[j][0], bmap->ineq[j][0], bmap->ineq[j][div_pos]);
2226         isl_int_sub_ui(bmap->ineq[j][0], bmap->ineq[j][0], 1);
2227         return j;
2228 }
2229
2230 struct isl_basic_set *isl_basic_map_underlying_set(
2231                 struct isl_basic_map *bmap)
2232 {
2233         if (!bmap)
2234                 goto error;
2235         if (bmap->dim->nparam == 0 && bmap->dim->n_in == 0 && bmap->n_div == 0)
2236                 return (struct isl_basic_set *)bmap;
2237         bmap = isl_basic_map_cow(bmap);
2238         if (!bmap)
2239                 goto error;
2240         bmap->dim = isl_dim_underlying(bmap->dim, bmap->n_div);
2241         if (!bmap->dim)
2242                 goto error;
2243         bmap->extra -= bmap->n_div;
2244         bmap->n_div = 0;
2245         bmap = isl_basic_map_finalize(bmap);
2246         return (struct isl_basic_set *)bmap;
2247 error:
2248         return NULL;
2249 }
2250
2251 struct isl_basic_map *isl_basic_map_overlying_set(
2252         struct isl_basic_set *bset, struct isl_basic_map *like)
2253 {
2254         struct isl_basic_map *bmap;
2255         struct isl_ctx *ctx;
2256         unsigned total;
2257         int i;
2258
2259         if (!bset || !like)
2260                 goto error;
2261         ctx = bset->ctx;
2262         isl_assert(ctx, bset->n_div == 0, goto error);
2263         isl_assert(ctx, isl_basic_set_n_param(bset) == 0, goto error);
2264         isl_assert(ctx, bset->dim->n_out == isl_basic_map_total_dim(like),
2265                         goto error);
2266         if (isl_dim_equal(bset->dim, like->dim) && like->n_div == 0) {
2267                 isl_basic_map_free(like);
2268                 return (struct isl_basic_map *)bset;
2269         }
2270         bset = isl_basic_set_cow(bset);
2271         if (!bset)
2272                 goto error;
2273         total = bset->dim->n_out + bset->extra;
2274         bmap = (struct isl_basic_map *)bset;
2275         isl_dim_free(bmap->dim);
2276         bmap->dim = isl_dim_copy(like->dim);
2277         if (!bmap->dim)
2278                 goto error;
2279         bmap->n_div = like->n_div;
2280         bmap->extra += like->n_div;
2281         if (bmap->extra) {
2282                 unsigned ltotal;
2283                 ltotal = total - bmap->extra + like->extra;
2284                 if (ltotal > total)
2285                         ltotal = total;
2286                 bmap->block2 = isl_blk_extend(ctx, bmap->block2,
2287                                         bmap->extra * (1 + 1 + total));
2288                 if (isl_blk_is_error(bmap->block2))
2289                         goto error;
2290                 bmap->div = isl_realloc_array(ctx, bmap->div, isl_int *,
2291                                                 bmap->extra);
2292                 if (!bmap->div)
2293                         goto error;
2294                 for (i = 0; i < bmap->extra; ++i)
2295                         bmap->div[i] = bmap->block2.data + i * (1 + 1 + total);
2296                 for (i = 0; i < like->n_div; ++i) {
2297                         isl_seq_cpy(bmap->div[i], like->div[i], 1 + 1 + ltotal);
2298                         isl_seq_clr(bmap->div[i]+1+1+ltotal, total - ltotal);
2299                 }
2300                 bmap = isl_basic_map_extend_constraints(bmap,
2301                                                         0, 2 * like->n_div);
2302                 for (i = 0; i < like->n_div; ++i) {
2303                         if (isl_int_is_zero(bmap->div[i][0]))
2304                                 continue;
2305                         if (add_div_constraints(bmap, i) < 0)
2306                                 goto error;
2307                 }
2308         }
2309         isl_basic_map_free(like);
2310         bmap = isl_basic_map_simplify(bmap);
2311         bmap = isl_basic_map_finalize(bmap);
2312         return bmap;
2313 error:
2314         isl_basic_map_free(like);
2315         isl_basic_set_free(bset);
2316         return NULL;
2317 }
2318
2319 struct isl_basic_set *isl_basic_set_from_underlying_set(
2320         struct isl_basic_set *bset, struct isl_basic_set *like)
2321 {
2322         return (struct isl_basic_set *)
2323                 isl_basic_map_overlying_set(bset, (struct isl_basic_map *)like);
2324 }
2325
2326 struct isl_set *isl_set_from_underlying_set(
2327         struct isl_set *set, struct isl_basic_set *like)
2328 {
2329         int i;
2330
2331         if (!set || !like)
2332                 goto error;
2333         isl_assert(set->ctx, set->dim->n_out == isl_basic_set_total_dim(like),
2334                     goto error);
2335         if (isl_dim_equal(set->dim, like->dim) && like->n_div == 0) {
2336                 isl_basic_set_free(like);
2337                 return set;
2338         }
2339         set = isl_set_cow(set);
2340         if (!set)
2341                 goto error;
2342         for (i = 0; i < set->n; ++i) {
2343                 set->p[i] = isl_basic_set_from_underlying_set(set->p[i],
2344                                                       isl_basic_set_copy(like));
2345                 if (!set->p[i])
2346                         goto error;
2347         }
2348         isl_dim_free(set->dim);
2349         set->dim = isl_dim_copy(like->dim);
2350         if (!set->dim)
2351                 goto error;
2352         isl_basic_set_free(like);
2353         return set;
2354 error:
2355         isl_basic_set_free(like);
2356         isl_set_free(set);
2357         return NULL;
2358 }
2359
2360 struct isl_set *isl_map_underlying_set(struct isl_map *map)
2361 {
2362         int i;
2363
2364         map = isl_map_cow(map);
2365         if (!map)
2366                 return NULL;
2367         map->dim = isl_dim_cow(map->dim);
2368         if (!map->dim)
2369                 goto error;
2370
2371         for (i = 1; i < map->n; ++i)
2372                 isl_assert(map->ctx, map->p[0]->n_div == map->p[i]->n_div,
2373                                 goto error);
2374         for (i = 0; i < map->n; ++i) {
2375                 map->p[i] = (struct isl_basic_map *)
2376                                 isl_basic_map_underlying_set(map->p[i]);
2377                 if (!map->p[i])
2378                         goto error;
2379         }
2380         if (map->n == 0)
2381                 map->dim = isl_dim_underlying(map->dim, 0);
2382         else {
2383                 isl_dim_free(map->dim);
2384                 map->dim = isl_dim_copy(map->p[0]->dim);
2385         }
2386         if (!map->dim)
2387                 goto error;
2388         return (struct isl_set *)map;
2389 error:
2390         isl_map_free(map);
2391         return NULL;
2392 }
2393
2394 struct isl_set *isl_set_to_underlying_set(struct isl_set *set)
2395 {
2396         return (struct isl_set *)isl_map_underlying_set((struct isl_map *)set);
2397 }
2398
2399 struct isl_basic_set *isl_basic_map_domain(struct isl_basic_map *bmap)
2400 {
2401         struct isl_basic_set *domain;
2402         unsigned n_out;
2403         if (!bmap)
2404                 return NULL;
2405         n_out = isl_basic_map_n_out(bmap);
2406         domain = isl_basic_set_from_basic_map(bmap);
2407         return isl_basic_set_project_out(domain, n_out, 0);
2408 }
2409
2410 struct isl_basic_set *isl_basic_map_range(struct isl_basic_map *bmap)
2411 {
2412         return isl_basic_map_domain(isl_basic_map_reverse(bmap));
2413 }
2414
2415 struct isl_set *isl_map_range(struct isl_map *map)
2416 {
2417         int i;
2418         struct isl_set *set;
2419
2420         if (!map)
2421                 goto error;
2422         map = isl_map_cow(map);
2423         if (!map)
2424                 goto error;
2425
2426         set = (struct isl_set *) map;
2427         if (set->dim->n_in != 0) {
2428                 set->dim = isl_dim_drop_inputs(set->dim, 0, set->dim->n_in);
2429                 if (!set->dim)
2430                         goto error;
2431         }
2432         for (i = 0; i < map->n; ++i) {
2433                 set->p[i] = isl_basic_map_range(map->p[i]);
2434                 if (!set->p[i])
2435                         goto error;
2436         }
2437         ISL_F_CLR(set, ISL_MAP_DISJOINT);
2438         ISL_F_CLR(set, ISL_SET_NORMALIZED);
2439         return set;
2440 error:
2441         isl_map_free(map);
2442         return NULL;
2443 }
2444
2445 struct isl_map *isl_map_from_set(struct isl_set *set, struct isl_dim *dim)
2446 {
2447         int i;
2448         struct isl_map *map = NULL;
2449
2450         set = isl_set_cow(set);
2451         if (!set || !dim)
2452                 goto error;
2453         isl_assert(set->ctx, isl_dim_compatible(set->dim, dim), goto error);
2454         map = (struct isl_map *)set;
2455         for (i = 0; i < set->n; ++i) {
2456                 map->p[i] = isl_basic_map_from_basic_set(
2457                                 set->p[i], isl_dim_copy(dim));
2458                 if (!map->p[i])
2459                         goto error;
2460         }
2461         isl_dim_free(map->dim);
2462         map->dim = dim;
2463         return map;
2464 error:
2465         isl_dim_free(dim);
2466         isl_set_free(set);
2467         return NULL;
2468 }
2469
2470 struct isl_map *isl_map_from_range(struct isl_set *set)
2471 {
2472         return (struct isl_map *)set;
2473 }
2474
2475 struct isl_set *isl_set_from_map(struct isl_map *map)
2476 {
2477         int i;
2478         struct isl_set *set = NULL;
2479
2480         if (!map)
2481                 return NULL;
2482         map = isl_map_cow(map);
2483         if (!map)
2484                 return NULL;
2485         map->dim = isl_dim_cow(map->dim);
2486         if (!map->dim)
2487                 goto error;
2488         map->dim->n_out += map->dim->n_in;
2489         map->dim->n_in = 0;
2490         set = (struct isl_set *)map;
2491         for (i = 0; i < map->n; ++i) {
2492                 set->p[i] = isl_basic_set_from_basic_map(map->p[i]);
2493                 if (!set->p[i])
2494                         goto error;
2495         }
2496         return set;
2497 error:
2498         isl_map_free(map);
2499         return NULL;
2500 }
2501
2502 struct isl_map *isl_map_alloc_dim(struct isl_dim *dim, int n, unsigned flags)
2503 {
2504         struct isl_map *map;
2505
2506         if (!dim)
2507                 return NULL;
2508         isl_assert(dim->ctx, n >= 0, return NULL);
2509         map = isl_alloc(dim->ctx, struct isl_map,
2510                         sizeof(struct isl_map) +
2511                         n * sizeof(struct isl_basic_map *));
2512         if (!map)
2513                 goto error;
2514
2515         map->ctx = dim->ctx;
2516         isl_ctx_ref(map->ctx);
2517         map->ref = 1;
2518         map->size = n;
2519         map->n = 0;
2520         map->dim = dim;
2521         map->flags = flags;
2522         return map;
2523 error:
2524         isl_dim_free(dim);
2525         return NULL;
2526 }
2527
2528 struct isl_map *isl_map_alloc(struct isl_ctx *ctx,
2529                 unsigned nparam, unsigned in, unsigned out, int n,
2530                 unsigned flags)
2531 {
2532         struct isl_map *map;
2533         struct isl_dim *dims;
2534
2535         dims = isl_dim_alloc(ctx, nparam, in, out);
2536         if (!dims)
2537                 return NULL;
2538
2539         map = isl_map_alloc_dim(dims, n, flags);
2540         return map;
2541 }
2542
2543 struct isl_basic_map *isl_basic_map_empty(struct isl_ctx *ctx,
2544                 unsigned nparam, unsigned in, unsigned out)
2545 {
2546         struct isl_basic_map *bmap;
2547         bmap = isl_basic_map_alloc(ctx, nparam, in, out, 0, 1, 0);
2548         bmap = isl_basic_map_set_to_empty(bmap);
2549         return bmap;
2550 }
2551
2552 struct isl_basic_set *isl_basic_set_empty(struct isl_dim *dim)
2553 {
2554         struct isl_basic_set *bset;
2555         bset = isl_basic_set_alloc_dim(dim, 0, 1, 0);
2556         bset = isl_basic_set_set_to_empty(bset);
2557         return bset;
2558 }
2559
2560 struct isl_basic_map *isl_basic_map_empty_like(struct isl_basic_map *model)
2561 {
2562         struct isl_basic_map *bmap;
2563         if (!model)
2564                 return NULL;
2565         bmap = isl_basic_map_alloc_dim(isl_dim_copy(model->dim), 0, 1, 0);
2566         bmap = isl_basic_map_set_to_empty(bmap);
2567         return bmap;
2568 }
2569
2570 struct isl_basic_map *isl_basic_map_empty_like_map(struct isl_map *model)
2571 {
2572         struct isl_basic_map *bmap;
2573         if (!model)
2574                 return NULL;
2575         bmap = isl_basic_map_alloc_dim(isl_dim_copy(model->dim), 0, 1, 0);
2576         bmap = isl_basic_map_set_to_empty(bmap);
2577         return bmap;
2578 }
2579
2580 struct isl_basic_set *isl_basic_set_empty_like(struct isl_basic_set *model)
2581 {
2582         struct isl_basic_set *bset;
2583         if (!model)
2584                 return NULL;
2585         bset = isl_basic_set_alloc_dim(isl_dim_copy(model->dim), 0, 1, 0);
2586         bset = isl_basic_set_set_to_empty(bset);
2587         return bset;
2588 }
2589
2590 struct isl_basic_map *isl_basic_map_universe(struct isl_dim *dim)
2591 {
2592         struct isl_basic_map *bmap;
2593         bmap = isl_basic_map_alloc_dim(dim, 0, 0, 0);
2594         return bmap;
2595 }
2596
2597 struct isl_basic_set *isl_basic_set_universe(struct isl_dim *dim)
2598 {
2599         struct isl_basic_set *bset;
2600         bset = isl_basic_set_alloc_dim(dim, 0, 0, 0);
2601         return bset;
2602 }
2603
2604 struct isl_basic_set *isl_basic_set_universe_like(struct isl_basic_set *model)
2605 {
2606         if (!model)
2607                 return NULL;
2608         return isl_basic_set_alloc_dim(isl_dim_copy(model->dim), 0, 0, 0);
2609 }
2610
2611 struct isl_map *isl_map_empty(struct isl_dim *dim)
2612 {
2613         return isl_map_alloc_dim(dim, 0, ISL_MAP_DISJOINT);
2614 }
2615
2616 struct isl_map *isl_map_empty_like(struct isl_map *model)
2617 {
2618         if (!model)
2619                 return NULL;
2620         return isl_map_alloc_dim(isl_dim_copy(model->dim), 0, ISL_MAP_DISJOINT);
2621 }
2622
2623 struct isl_map *isl_map_empty_like_basic_map(struct isl_basic_map *model)
2624 {
2625         if (!model)
2626                 return NULL;
2627         return isl_map_alloc_dim(isl_dim_copy(model->dim), 0, ISL_MAP_DISJOINT);
2628 }
2629
2630 struct isl_set *isl_set_empty(struct isl_dim *dim)
2631 {
2632         return isl_set_alloc_dim(dim, 0, ISL_MAP_DISJOINT);
2633 }
2634
2635 struct isl_set *isl_set_empty_like(struct isl_set *model)
2636 {
2637         if (!model)
2638                 return NULL;
2639         return isl_set_empty(isl_dim_copy(model->dim));
2640 }
2641
2642 struct isl_map *isl_map_universe(struct isl_dim *dim)
2643 {
2644         struct isl_map *map;
2645         if (!dim)
2646                 return NULL;
2647         map = isl_map_alloc_dim(isl_dim_copy(dim), 1, ISL_MAP_DISJOINT);
2648         map = isl_map_add(map, isl_basic_map_universe(dim));
2649         return map;
2650 }
2651
2652 struct isl_set *isl_set_universe(struct isl_dim *dim)
2653 {
2654         struct isl_set *set;
2655         if (!dim)
2656                 return NULL;
2657         set = isl_set_alloc_dim(isl_dim_copy(dim), 1, ISL_MAP_DISJOINT);
2658         set = isl_set_add(set, isl_basic_set_universe(dim));
2659         return set;
2660 }
2661
2662 struct isl_map *isl_map_dup(struct isl_map *map)
2663 {
2664         int i;
2665         struct isl_map *dup;
2666
2667         if (!map)
2668                 return NULL;
2669         dup = isl_map_alloc_dim(isl_dim_copy(map->dim), map->n, map->flags);
2670         for (i = 0; i < map->n; ++i)
2671                 dup = isl_map_add(dup, isl_basic_map_copy(map->p[i]));
2672         return dup;
2673 }
2674
2675 struct isl_map *isl_map_add(struct isl_map *map, struct isl_basic_map *bmap)
2676 {
2677         if (!bmap || !map)
2678                 goto error;
2679         isl_assert(map->ctx, isl_dim_equal(map->dim, bmap->dim), goto error);
2680         isl_assert(map->ctx, map->n < map->size, goto error);
2681         map->p[map->n] = bmap;
2682         map->n++;
2683         ISL_F_CLR(map, ISL_MAP_NORMALIZED);
2684         return map;
2685 error:
2686         if (map)
2687                 isl_map_free(map);
2688         if (bmap)
2689                 isl_basic_map_free(bmap);
2690         return NULL;
2691 }
2692
2693 void isl_map_free(struct isl_map *map)
2694 {
2695         int i;
2696
2697         if (!map)
2698                 return;
2699
2700         if (--map->ref > 0)
2701                 return;
2702
2703         isl_ctx_deref(map->ctx);
2704         for (i = 0; i < map->n; ++i)
2705                 isl_basic_map_free(map->p[i]);
2706         isl_dim_free(map->dim);
2707         free(map);
2708 }
2709
2710 struct isl_map *isl_map_extend(struct isl_map *base,
2711                 unsigned nparam, unsigned n_in, unsigned n_out)
2712 {
2713         int i;
2714
2715         base = isl_map_cow(base);
2716         if (!base)
2717                 return NULL;
2718
2719         base->dim = isl_dim_extend(base->dim, nparam, n_in, n_out);
2720         if (!base->dim)
2721                 goto error;
2722         for (i = 0; i < base->n; ++i) {
2723                 base->p[i] = isl_basic_map_extend_dim(base->p[i],
2724                                 isl_dim_copy(base->dim), 0, 0, 0);
2725                 if (!base->p[i])
2726                         goto error;
2727         }
2728         return base;
2729 error:
2730         isl_map_free(base);
2731         return NULL;
2732 }
2733
2734 struct isl_set *isl_set_extend(struct isl_set *base,
2735                 unsigned nparam, unsigned dim)
2736 {
2737         return (struct isl_set *)isl_map_extend((struct isl_map *)base,
2738                                                         nparam, 0, dim);
2739 }
2740
2741 static struct isl_basic_map *isl_basic_map_fix_pos(struct isl_basic_map *bmap,
2742                 unsigned pos, int value)
2743 {
2744         int j;
2745
2746         bmap = isl_basic_map_cow(bmap);
2747         bmap = isl_basic_map_extend_constraints(bmap, 1, 0);
2748         j = isl_basic_map_alloc_equality(bmap);
2749         if (j < 0)
2750                 goto error;
2751         isl_seq_clr(bmap->eq[j], 1 + isl_basic_map_total_dim(bmap));
2752         isl_int_set_si(bmap->eq[j][pos], -1);
2753         isl_int_set_si(bmap->eq[j][0], value);
2754         bmap = isl_basic_map_simplify(bmap);
2755         return isl_basic_map_finalize(bmap);
2756 error:
2757         isl_basic_map_free(bmap);
2758         return NULL;
2759 }
2760
2761 struct isl_basic_map *isl_basic_map_fix_si(struct isl_basic_map *bmap,
2762                 enum isl_dim_type type, unsigned pos, int value)
2763 {
2764         if (!bmap)
2765                 return NULL;
2766         isl_assert(bmap->ctx, pos < isl_basic_map_dim(bmap, type), goto error);
2767         return isl_basic_map_fix_pos(bmap, isl_basic_map_offset(bmap, type) + pos,
2768                                         value);
2769 error:
2770         isl_basic_map_free(bmap);
2771         return NULL;
2772 }
2773
2774 struct isl_basic_set *isl_basic_set_fix_si(struct isl_basic_set *bset,
2775                 enum isl_dim_type type, unsigned pos, int value)
2776 {
2777         return (struct isl_basic_set *)
2778                 isl_basic_map_fix_si((struct isl_basic_map *)bset,
2779                                         type, pos, value);
2780 }
2781
2782 struct isl_basic_map *isl_basic_map_fix_input_si(struct isl_basic_map *bmap,
2783                 unsigned input, int value)
2784 {
2785         return isl_basic_map_fix_si(bmap, isl_dim_in, input, value);
2786 }
2787
2788 struct isl_basic_set *isl_basic_set_fix_dim_si(struct isl_basic_set *bset,
2789                 unsigned dim, int value)
2790 {
2791         return (struct isl_basic_set *)
2792                 isl_basic_map_fix_si((struct isl_basic_map *)bset,
2793                                         isl_dim_set, dim, value);
2794 }
2795
2796 struct isl_map *isl_map_fix_si(struct isl_map *map,
2797                 enum isl_dim_type type, unsigned pos, int value)
2798 {
2799         int i;
2800
2801         map = isl_map_cow(map);
2802         if (!map)
2803                 return NULL;
2804
2805         isl_assert(ctx, pos < isl_map_dim(map, type), goto error);
2806         for (i = 0; i < map->n; ++i) {
2807                 map->p[i] = isl_basic_map_fix_si(map->p[i], type, pos, value);
2808                 if (!map->p[i])
2809                         goto error;
2810         }
2811         ISL_F_CLR(map, ISL_MAP_NORMALIZED);
2812         return map;
2813 error:
2814         isl_map_free(map);
2815         return NULL;
2816 }
2817
2818 struct isl_map *isl_map_fix_input_si(struct isl_map *map,
2819                 unsigned input, int value)
2820 {
2821         return isl_map_fix_si(map, isl_dim_in, input, value);
2822 }
2823
2824 struct isl_set *isl_set_fix_dim_si(struct isl_set *set, unsigned dim, int value)
2825 {
2826         return (struct isl_set *)
2827                 isl_map_fix_si((struct isl_map *)set, isl_dim_set, dim, value);
2828 }
2829
2830 struct isl_basic_set *isl_basic_set_lower_bound_dim(struct isl_basic_set *bset,
2831         unsigned dim, isl_int value)
2832 {
2833         int j;
2834         unsigned nparam;
2835
2836         bset = isl_basic_set_cow(bset);
2837         bset = isl_basic_set_extend_constraints(bset, 0, 1);
2838         j = isl_basic_set_alloc_inequality(bset);
2839         if (j < 0)
2840                 goto error;
2841         isl_seq_clr(bset->ineq[j], 1 + isl_basic_set_total_dim(bset));
2842         isl_int_set_si(bset->ineq[j][1 + isl_basic_set_n_param(bset) + dim], 1);
2843         isl_int_neg(bset->ineq[j][0], value);
2844         bset = isl_basic_set_simplify(bset);
2845         return isl_basic_set_finalize(bset);
2846 error:
2847         isl_basic_set_free(bset);
2848         return NULL;
2849 }
2850
2851 struct isl_set *isl_set_lower_bound_dim(struct isl_set *set, unsigned dim,
2852                                         isl_int value)
2853 {
2854         int i;
2855
2856         set = isl_set_cow(set);
2857         if (!set)
2858                 return NULL;
2859
2860         isl_assert(set->ctx, dim < isl_set_n_dim(set), goto error);
2861         for (i = 0; i < set->n; ++i) {
2862                 set->p[i] = isl_basic_set_lower_bound_dim(set->p[i], dim, value);
2863                 if (!set->p[i])
2864                         goto error;
2865         }
2866         return set;
2867 error:
2868         isl_set_free(set);
2869         return NULL;
2870 }
2871
2872 struct isl_map *isl_map_reverse(struct isl_map *map)
2873 {
2874         int i;
2875         unsigned t;
2876
2877         map = isl_map_cow(map);
2878         if (!map)
2879                 return NULL;
2880
2881         map->dim = isl_dim_reverse(map->dim);
2882         if (!map->dim)
2883                 goto error;
2884         for (i = 0; i < map->n; ++i) {
2885                 map->p[i] = isl_basic_map_reverse(map->p[i]);
2886                 if (!map->p[i])
2887                         goto error;
2888         }
2889         ISL_F_CLR(map, ISL_MAP_NORMALIZED);
2890         return map;
2891 error:
2892         isl_map_free(map);
2893         return NULL;
2894 }
2895
2896 struct isl_map *isl_basic_map_lexmax(
2897                 struct isl_basic_map *bmap, struct isl_basic_set *dom,
2898                 struct isl_set **empty)
2899 {
2900         return isl_pip_basic_map_lexmax(bmap, dom, empty);
2901 }
2902
2903 struct isl_map *isl_basic_map_lexmin(
2904                 struct isl_basic_map *bmap, struct isl_basic_set *dom,
2905                 struct isl_set **empty)
2906 {
2907         return isl_pip_basic_map_lexmin(bmap, dom, empty);
2908 }
2909
2910 struct isl_set *isl_basic_set_lexmin(struct isl_basic_set *bset)
2911 {
2912         struct isl_basic_map *bmap = NULL;
2913         struct isl_basic_set *dom = NULL;
2914         struct isl_map *min;
2915         struct isl_dim *param_dim;
2916
2917         if (!bset)
2918                 goto error;
2919         bmap = isl_basic_map_from_basic_set(bset, isl_dim_copy(bset->dim));
2920         if (!bmap)
2921                 goto error;
2922         param_dim = isl_dim_domain(isl_dim_copy(bmap->dim));
2923         dom = isl_basic_set_universe(param_dim);
2924         if (!dom)
2925                 goto error;
2926         min = isl_basic_map_lexmin(bmap, dom, NULL);
2927         return isl_map_range(min);
2928 error:
2929         isl_basic_map_free(bmap);
2930         return NULL;
2931 }
2932
2933 struct isl_map *isl_basic_map_compute_divs(struct isl_basic_map *bmap)
2934 {
2935         int i;
2936         unsigned off;
2937
2938         if (!bmap)
2939                 return NULL;
2940         off = isl_dim_total(bmap->dim);
2941         for (i = 0; i < bmap->n_div; ++i) {
2942                 if (isl_int_is_zero(bmap->div[i][0]))
2943                         return isl_pip_basic_map_compute_divs(bmap);
2944                 isl_assert(bmap->ctx, isl_int_is_zero(bmap->div[i][1+1+off+i]),
2945                                 goto error);
2946         }
2947         return isl_map_from_basic_map(bmap);
2948 error:
2949         isl_basic_map_free(bmap);
2950         return NULL;
2951 }
2952
2953 struct isl_map *isl_map_compute_divs(struct isl_map *map)
2954 {
2955         int i;
2956         struct isl_map *res;
2957
2958         if (!map)
2959                 return NULL;
2960         if (map->n == 0)
2961                 return map;
2962         res = isl_basic_map_compute_divs(isl_basic_map_copy(map->p[0]));
2963         for (i = 1 ; i < map->n; ++i) {
2964                 struct isl_map *r2;
2965                 r2 = isl_basic_map_compute_divs(isl_basic_map_copy(map->p[i]));
2966                 if (ISL_F_ISSET(map, ISL_MAP_DISJOINT))
2967                         res = isl_map_union_disjoint(res, r2);
2968                 else
2969                         res = isl_map_union(res, r2);
2970         }
2971         isl_map_free(map);
2972
2973         return res;
2974 }
2975
2976 struct isl_set *isl_basic_set_compute_divs(struct isl_basic_set *bset)
2977 {
2978         return (struct isl_set *)
2979                 isl_basic_map_compute_divs((struct isl_basic_map *)bset);
2980 }
2981
2982 struct isl_set *isl_set_compute_divs(struct isl_set *set)
2983 {
2984         return (struct isl_set *)
2985                 isl_map_compute_divs((struct isl_map *)set);
2986 }
2987
2988 struct isl_set *isl_map_domain(struct isl_map *map)
2989 {
2990         int i;
2991         struct isl_set *set;
2992
2993         if (!map)
2994                 goto error;
2995
2996         map = isl_map_cow(map);
2997         if (!map)
2998                 return NULL;
2999
3000         set = (struct isl_set *)map;
3001         set->dim = isl_dim_domain(set->dim);
3002         if (!set->dim)
3003                 goto error;
3004         for (i = 0; i < map->n; ++i) {
3005                 set->p[i] = isl_basic_map_domain(map->p[i]);
3006                 if (!set->p[i])
3007                         goto error;
3008         }
3009         ISL_F_CLR(set, ISL_MAP_DISJOINT);
3010         ISL_F_CLR(set, ISL_SET_NORMALIZED);
3011         return set;
3012 error:
3013         isl_map_free(map);
3014         return NULL;
3015 }
3016
3017 struct isl_map *isl_map_union_disjoint(
3018                         struct isl_map *map1, struct isl_map *map2)
3019 {
3020         int i;
3021         unsigned flags = 0;
3022         struct isl_map *map = NULL;
3023
3024         if (!map1 || !map2)
3025                 goto error;
3026
3027         if (map1->n == 0) {
3028                 isl_map_free(map1);
3029                 return map2;
3030         }
3031         if (map2->n == 0) {
3032                 isl_map_free(map2);
3033                 return map1;
3034         }
3035
3036         isl_assert(map1->ctx, isl_dim_equal(map1->dim, map2->dim), goto error);
3037
3038         if (ISL_F_ISSET(map1, ISL_MAP_DISJOINT) &&
3039             ISL_F_ISSET(map2, ISL_MAP_DISJOINT))
3040                 ISL_FL_SET(flags, ISL_MAP_DISJOINT);
3041
3042         map = isl_map_alloc_dim(isl_dim_copy(map1->dim),
3043                                 map1->n + map2->n, flags);
3044         if (!map)
3045                 goto error;
3046         for (i = 0; i < map1->n; ++i) {
3047                 map = isl_map_add(map,
3048                                   isl_basic_map_copy(map1->p[i]));
3049                 if (!map)
3050                         goto error;
3051         }
3052         for (i = 0; i < map2->n; ++i) {
3053                 map = isl_map_add(map,
3054                                   isl_basic_map_copy(map2->p[i]));
3055                 if (!map)
3056                         goto error;
3057         }
3058         isl_map_free(map1);
3059         isl_map_free(map2);
3060         return map;
3061 error:
3062         isl_map_free(map);
3063         isl_map_free(map1);
3064         isl_map_free(map2);
3065         return NULL;
3066 }
3067
3068 struct isl_map *isl_map_union(struct isl_map *map1, struct isl_map *map2)
3069 {
3070         map1 = isl_map_union_disjoint(map1, map2);
3071         if (!map1)
3072                 return NULL;
3073         if (map1->n > 1)
3074                 ISL_F_CLR(map1, ISL_MAP_DISJOINT);
3075         return map1;
3076 }
3077
3078 struct isl_set *isl_set_union_disjoint(
3079                         struct isl_set *set1, struct isl_set *set2)
3080 {
3081         return (struct isl_set *)
3082                 isl_map_union_disjoint(
3083                         (struct isl_map *)set1, (struct isl_map *)set2);
3084 }
3085
3086 struct isl_set *isl_set_union(struct isl_set *set1, struct isl_set *set2)
3087 {
3088         return (struct isl_set *)
3089                 isl_map_union((struct isl_map *)set1, (struct isl_map *)set2);
3090 }
3091
3092 struct isl_map *isl_map_intersect_range(
3093                 struct isl_map *map, struct isl_set *set)
3094 {
3095         unsigned flags = 0;
3096         struct isl_map *result;
3097         int i, j;
3098
3099         if (!map || !set)
3100                 goto error;
3101
3102         if (ISL_F_ISSET(map, ISL_MAP_DISJOINT) &&
3103             ISL_F_ISSET(set, ISL_MAP_DISJOINT))
3104                 ISL_FL_SET(flags, ISL_MAP_DISJOINT);
3105
3106         result = isl_map_alloc_dim(isl_dim_copy(map->dim),
3107                                         map->n * set->n, flags);
3108         if (!result)
3109                 goto error;
3110         for (i = 0; i < map->n; ++i)
3111                 for (j = 0; j < set->n; ++j) {
3112                         result = isl_map_add(result,
3113                             isl_basic_map_intersect_range(
3114                                 isl_basic_map_copy(map->p[i]),
3115                                 isl_basic_set_copy(set->p[j])));
3116                         if (!result)
3117                                 goto error;
3118                 }
3119         isl_map_free(map);
3120         isl_set_free(set);
3121         return result;
3122 error:
3123         isl_map_free(map);
3124         isl_set_free(set);
3125         return NULL;
3126 }
3127
3128 struct isl_map *isl_map_intersect_domain(
3129                 struct isl_map *map, struct isl_set *set)
3130 {
3131         return isl_map_reverse(
3132                 isl_map_intersect_range(isl_map_reverse(map), set));
3133 }
3134
3135 struct isl_map *isl_map_apply_domain(
3136                 struct isl_map *map1, struct isl_map *map2)
3137 {
3138         if (!map1 || !map2)
3139                 goto error;
3140         map1 = isl_map_reverse(map1);
3141         map1 = isl_map_apply_range(map1, map2);
3142         return isl_map_reverse(map1);
3143 error:
3144         isl_map_free(map1);
3145         isl_map_free(map2);
3146         return NULL;
3147 }
3148
3149 struct isl_map *isl_map_apply_range(
3150                 struct isl_map *map1, struct isl_map *map2)
3151 {
3152         struct isl_dim *dim_result;
3153         struct isl_map *result;
3154         int i, j;
3155         unsigned nparam;
3156         unsigned n_in;
3157         unsigned n_out;
3158
3159         if (!map1 || !map2)
3160                 goto error;
3161
3162         dim_result = isl_dim_join(isl_dim_copy(map1->dim),
3163                                   isl_dim_copy(map2->dim));
3164
3165         result = isl_map_alloc_dim(dim_result, map1->n * map2->n, 0);
3166         if (!result)
3167                 goto error;
3168         for (i = 0; i < map1->n; ++i)
3169                 for (j = 0; j < map2->n; ++j) {
3170                         result = isl_map_add(result,
3171                             isl_basic_map_apply_range(
3172                                 isl_basic_map_copy(map1->p[i]),
3173                                 isl_basic_map_copy(map2->p[j])));
3174                         if (!result)
3175                                 goto error;
3176                 }
3177         isl_map_free(map1);
3178         isl_map_free(map2);
3179         if (result && result->n <= 1)
3180                 ISL_F_SET(result, ISL_MAP_DISJOINT);
3181         return result;
3182 error:
3183         isl_map_free(map1);
3184         isl_map_free(map2);
3185         return NULL;
3186 }
3187
3188 /*
3189  * returns range - domain
3190  */
3191 struct isl_basic_set *isl_basic_map_deltas(struct isl_basic_map *bmap)
3192 {
3193         struct isl_basic_set *bset;
3194         unsigned dim;
3195         unsigned nparam;
3196         int i;
3197
3198         if (!bmap)
3199                 goto error;
3200         dim = isl_basic_map_n_in(bmap);
3201         nparam = isl_basic_map_n_param(bmap);
3202         isl_assert(bmap->ctx, dim == isl_basic_map_n_out(bmap), goto error);
3203         bset = isl_basic_set_from_basic_map(bmap);
3204         bset = isl_basic_set_cow(bset);
3205         bset = isl_basic_set_extend(bset, nparam, 3*dim, 0, dim, 0);
3206         bset = isl_basic_set_swap_vars(bset, 2*dim);
3207         for (i = 0; i < dim; ++i) {
3208                 int j = isl_basic_map_alloc_equality(
3209                                             (struct isl_basic_map *)bset);
3210                 if (j < 0)
3211                         goto error;
3212                 isl_seq_clr(bset->eq[j], 1 + isl_basic_set_total_dim(bset));
3213                 isl_int_set_si(bset->eq[j][1+nparam+i], 1);
3214                 isl_int_set_si(bset->eq[j][1+nparam+dim+i], 1);
3215                 isl_int_set_si(bset->eq[j][1+nparam+2*dim+i], -1);
3216         }
3217         return isl_basic_set_project_out(bset, 2*dim, 0);
3218 error:
3219         isl_basic_map_free(bmap);
3220         return NULL;
3221 }
3222
3223 /*
3224  * returns range - domain
3225  */
3226 struct isl_set *isl_map_deltas(struct isl_map *map)
3227 {
3228         int i;
3229         struct isl_set *result;
3230
3231         if (!map)
3232                 return NULL;
3233
3234         isl_assert(map->ctx, isl_map_n_in(map) == isl_map_n_out(map), goto error);
3235         result = isl_set_alloc(map->ctx, isl_map_n_param(map),
3236                                         isl_map_n_in(map), map->n, map->flags);
3237         if (!result)
3238                 goto error;
3239         for (i = 0; i < map->n; ++i)
3240                 result = isl_set_add(result,
3241                           isl_basic_map_deltas(isl_basic_map_copy(map->p[i])));
3242         isl_map_free(map);
3243         return result;
3244 error:
3245         isl_map_free(map);
3246         return NULL;
3247 }
3248
3249 static struct isl_basic_map *basic_map_identity(struct isl_dim *dims)
3250 {
3251         struct isl_basic_map *bmap;
3252         unsigned nparam;
3253         unsigned dim;
3254         int i;
3255
3256         if (!dims)
3257                 return NULL;
3258
3259         nparam = dims->nparam;
3260         dim = dims->n_out;
3261         bmap = isl_basic_map_alloc_dim(dims, 0, dim, 0);
3262         if (!bmap)
3263                 goto error;
3264
3265         for (i = 0; i < dim; ++i) {
3266                 int j = isl_basic_map_alloc_equality(bmap);
3267                 if (j < 0)
3268                         goto error;
3269                 isl_seq_clr(bmap->eq[j], 1 + isl_basic_map_total_dim(bmap));
3270                 isl_int_set_si(bmap->eq[j][1+nparam+i], 1);
3271                 isl_int_set_si(bmap->eq[j][1+nparam+dim+i], -1);
3272         }
3273         return isl_basic_map_finalize(bmap);
3274 error:
3275         isl_basic_map_free(bmap);
3276         return NULL;
3277 }
3278
3279 struct isl_basic_map *isl_basic_map_identity(struct isl_dim *set_dim)
3280 {
3281         struct isl_dim *dim = isl_dim_map(set_dim);
3282         if (!dim)
3283                 return NULL;
3284         return basic_map_identity(dim);
3285 }
3286
3287 struct isl_basic_map *isl_basic_map_identity_like(struct isl_basic_map *model)
3288 {
3289         if (!model || !model->dim)
3290                 return NULL;
3291         isl_assert(model->ctx,
3292                         model->dim->n_in == model->dim->n_out, return NULL);
3293         return basic_map_identity(isl_dim_copy(model->dim));
3294 }
3295
3296 static struct isl_map *map_identity(struct isl_dim *dim)
3297 {
3298         struct isl_map *map = isl_map_alloc_dim(dim, 1, ISL_MAP_DISJOINT);
3299         return isl_map_add(map, basic_map_identity(isl_dim_copy(dim)));
3300 }
3301
3302 struct isl_map *isl_map_identity(struct isl_dim *set_dim)
3303 {
3304         struct isl_dim *dim = isl_dim_map(set_dim);
3305         if (!dim)
3306                 return NULL;
3307         return map_identity(dim);
3308 }
3309
3310 struct isl_map *isl_map_identity_like(struct isl_basic_map *model)
3311 {
3312         if (!model || !model->dim)
3313                 return NULL;
3314         isl_assert(model->ctx,
3315                         model->dim->n_in == model->dim->n_out, return NULL);
3316         return map_identity(isl_dim_copy(model->dim));
3317 }
3318
3319 int isl_set_is_equal(struct isl_set *set1, struct isl_set *set2)
3320 {
3321         return isl_map_is_equal((struct isl_map *)set1, (struct isl_map *)set2);
3322 }
3323
3324 int isl_set_is_subset(struct isl_set *set1, struct isl_set *set2)
3325 {
3326         return isl_map_is_subset(
3327                         (struct isl_map *)set1, (struct isl_map *)set2);
3328 }
3329
3330 int isl_basic_map_is_subset(
3331                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
3332 {
3333         int is_subset;
3334         struct isl_map *map1;
3335         struct isl_map *map2;
3336
3337         if (!bmap1 || !bmap2)
3338                 return -1;
3339
3340         map1 = isl_map_from_basic_map(isl_basic_map_copy(bmap1));
3341         map2 = isl_map_from_basic_map(isl_basic_map_copy(bmap2));
3342
3343         is_subset = isl_map_is_subset(map1, map2);
3344
3345         isl_map_free(map1);
3346         isl_map_free(map2);
3347
3348         return is_subset;
3349 }
3350
3351 int isl_basic_map_is_equal(
3352                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
3353 {
3354         int is_subset;
3355
3356         if (!bmap1 || !bmap2)
3357                 return -1;
3358         is_subset = isl_basic_map_is_subset(bmap1, bmap2);
3359         if (is_subset != 1)
3360                 return is_subset;
3361         is_subset = isl_basic_map_is_subset(bmap2, bmap1);
3362         return is_subset;
3363 }
3364
3365 int isl_basic_set_is_equal(
3366                 struct isl_basic_set *bset1, struct isl_basic_set *bset2)
3367 {
3368         return isl_basic_map_is_equal(
3369                 (struct isl_basic_map *)bset1, (struct isl_basic_map *)bset2);
3370 }
3371
3372 int isl_map_is_empty(struct isl_map *map)
3373 {
3374         int i;
3375         int is_empty;
3376
3377         if (!map)
3378                 return -1;
3379         for (i = 0; i < map->n; ++i) {
3380                 is_empty = isl_basic_map_is_empty(map->p[i]);
3381                 if (is_empty < 0)
3382                         return -1;
3383                 if (!is_empty)
3384                         return 0;
3385         }
3386         return 1;
3387 }
3388
3389 int isl_map_fast_is_empty(struct isl_map *map)
3390 {
3391         return map->n == 0;
3392 }
3393
3394 int isl_set_is_empty(struct isl_set *set)
3395 {
3396         return isl_map_is_empty((struct isl_map *)set);
3397 }
3398
3399 int isl_map_is_subset(struct isl_map *map1, struct isl_map *map2)
3400 {
3401         int i;
3402         int is_subset = 0;
3403         struct isl_map *diff;
3404
3405         if (!map1 || !map2)
3406                 return -1;
3407
3408         if (isl_map_is_empty(map1))
3409                 return 1;
3410
3411         if (isl_map_is_empty(map2))
3412                 return 0;
3413
3414         diff = isl_map_subtract(isl_map_copy(map1), isl_map_copy(map2));
3415         if (!diff)
3416                 return -1;
3417
3418         is_subset = isl_map_is_empty(diff);
3419         isl_map_free(diff);
3420
3421         return is_subset;
3422 }
3423
3424 int isl_map_is_equal(struct isl_map *map1, struct isl_map *map2)
3425 {
3426         int is_subset;
3427
3428         if (!map1 || !map2)
3429                 return -1;
3430         is_subset = isl_map_is_subset(map1, map2);
3431         if (is_subset != 1)
3432                 return is_subset;
3433         is_subset = isl_map_is_subset(map2, map1);
3434         return is_subset;
3435 }
3436
3437 int isl_basic_map_is_strict_subset(
3438                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
3439 {
3440         int is_subset;
3441
3442         if (!bmap1 || !bmap2)
3443                 return -1;
3444         is_subset = isl_basic_map_is_subset(bmap1, bmap2);
3445         if (is_subset != 1)
3446                 return is_subset;
3447         is_subset = isl_basic_map_is_subset(bmap2, bmap1);
3448         if (is_subset == -1)
3449                 return is_subset;
3450         return !is_subset;
3451 }
3452
3453 int isl_basic_map_is_universe(struct isl_basic_map *bmap)
3454 {
3455         if (!bmap)
3456                 return -1;
3457         return bmap->n_eq == 0 && bmap->n_ineq == 0;
3458 }
3459
3460 int isl_basic_map_is_empty(struct isl_basic_map *bmap)
3461 {
3462         struct isl_basic_set *bset = NULL;
3463         struct isl_vec *sample = NULL;
3464         int empty;
3465         unsigned total;
3466
3467         if (!bmap)
3468                 return -1;
3469
3470         if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_EMPTY))
3471                 return 1;
3472
3473         if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL)) {
3474                 struct isl_basic_map *copy = isl_basic_map_copy(bmap);
3475                 copy = isl_basic_map_convex_hull(copy);
3476                 empty = ISL_F_ISSET(copy, ISL_BASIC_MAP_EMPTY);
3477                 isl_basic_map_free(copy);
3478                 return empty;
3479         }
3480
3481         total = 1 + isl_basic_map_total_dim(bmap);
3482         if (bmap->sample && bmap->sample->size == total) {
3483                 int contains = basic_map_contains(bmap, bmap->sample);
3484                 if (contains < 0)
3485                         return -1;
3486                 if (contains)
3487                         return 0;
3488         }
3489         bset = isl_basic_map_underlying_set(isl_basic_map_copy(bmap));
3490         if (!bset)
3491                 return -1;
3492         sample = isl_basic_set_sample(bset);
3493         if (!sample)
3494                 return -1;
3495         empty = sample->size == 0;
3496         if (bmap->sample)
3497                 isl_vec_free(bmap->ctx, bmap->sample);
3498         bmap->sample = sample;
3499
3500         return empty;
3501 }
3502
3503 int isl_basic_map_fast_is_empty(struct isl_basic_map *bmap)
3504 {
3505         if (!bmap)
3506                 return -1;
3507         return ISL_F_ISSET(bmap, ISL_BASIC_MAP_EMPTY);
3508 }
3509
3510 int isl_basic_set_is_empty(struct isl_basic_set *bset)
3511 {
3512         return isl_basic_map_is_empty((struct isl_basic_map *)bset);
3513 }
3514
3515 struct isl_map *isl_basic_map_union(
3516         struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
3517 {
3518         struct isl_map *map;
3519         if (!bmap1 || !bmap2)
3520                 return NULL;
3521
3522         isl_assert(map1->ctx, isl_dim_equal(bmap1->dim, bmap2->dim), goto error);
3523
3524         map = isl_map_alloc_dim(isl_dim_copy(bmap1->dim), 2, 0);
3525         if (!map)
3526                 goto error;
3527         map = isl_map_add(map, bmap1);
3528         map = isl_map_add(map, bmap2);
3529         return map;
3530 error:
3531         isl_basic_map_free(bmap1);
3532         isl_basic_map_free(bmap2);
3533         return NULL;
3534 }
3535
3536 struct isl_set *isl_basic_set_union(
3537                 struct isl_basic_set *bset1, struct isl_basic_set *bset2)
3538 {
3539         return (struct isl_set *)isl_basic_map_union(
3540                                             (struct isl_basic_map *)bset1,
3541                                             (struct isl_basic_map *)bset2);
3542 }
3543
3544 /* Order divs such that any div only depends on previous divs */
3545 static struct isl_basic_map *order_divs(struct isl_basic_map *bmap)
3546 {
3547         int i;
3548         unsigned off = isl_dim_total(bmap->dim);
3549
3550         for (i = 0; i < bmap->n_div; ++i) {
3551                 int pos;
3552                 pos = isl_seq_first_non_zero(bmap->div[i]+1+1+off+i,
3553                                                             bmap->n_div-i);
3554                 if (pos == -1)
3555                         continue;
3556                 swap_div(bmap, i, pos);
3557                 --i;
3558         }
3559         return bmap;
3560 }
3561
3562 /* Look for a div in dst that corresponds to the div "div" in src.
3563  * The divs before "div" in src and dst are assumed to be the same.
3564  *
3565  * Returns -1 if no corresponding div was found and the position
3566  * of the corresponding div in dst otherwise.
3567  */
3568 static int find_div(struct isl_basic_map *dst,
3569                         struct isl_basic_map *src, unsigned div)
3570 {
3571         int i;
3572
3573         unsigned total = isl_dim_total(src->dim);
3574
3575         isl_assert(dst->ctx, div <= dst->n_div, return -1);
3576         for (i = div; i < dst->n_div; ++i)
3577                 if (isl_seq_eq(dst->div[i], src->div[div], 1+1+total+div) &&
3578                     isl_seq_first_non_zero(dst->div[i]+1+1+total+div,
3579                                                 dst->n_div - div) == -1)
3580                         return i;
3581         return -1;
3582 }
3583
3584 struct isl_basic_map *isl_basic_map_align_divs(
3585                 struct isl_basic_map *dst, struct isl_basic_map *src)
3586 {
3587         int i;
3588         unsigned total = isl_dim_total(src->dim);
3589
3590         if (!dst || !src)
3591                 goto error;
3592
3593         if (src->n_div == 0)
3594                 return dst;
3595
3596         for (i = 0; i < src->n_div; ++i)
3597                 isl_assert(src->ctx, !isl_int_is_zero(src->div[i][0]), goto error);
3598
3599         src = order_divs(src);
3600         dst = isl_basic_map_cow(dst);
3601         dst = isl_basic_map_extend_dim(dst, isl_dim_copy(dst->dim),
3602                         src->n_div, 0, 2 * src->n_div);
3603         if (!dst)
3604                 return NULL;
3605         for (i = 0; i < src->n_div; ++i) {
3606                 int j = find_div(dst, src, i);
3607                 if (j < 0) {
3608                         j = isl_basic_map_alloc_div(dst);
3609                         if (j < 0)
3610                                 goto error;
3611                         isl_seq_cpy(dst->div[j], src->div[i], 1+1+total+i);
3612                         isl_seq_clr(dst->div[j]+1+1+total+i, dst->n_div - i);
3613                         if (add_div_constraints(dst, j) < 0)
3614                                 goto error;
3615                 }
3616                 if (j != i)
3617                         swap_div(dst, i, j);
3618         }
3619         return dst;
3620 error:
3621         isl_basic_map_free(dst);
3622         return NULL;
3623 }
3624
3625 struct isl_basic_set *isl_basic_set_align_divs(
3626                 struct isl_basic_set *dst, struct isl_basic_set *src)
3627 {
3628         return (struct isl_basic_set *)isl_basic_map_align_divs(
3629                 (struct isl_basic_map *)dst, (struct isl_basic_map *)src);
3630 }
3631
3632 struct isl_map *isl_map_align_divs(struct isl_map *map)
3633 {
3634         int i;
3635
3636         map = isl_map_compute_divs(map);
3637         map = isl_map_cow(map);
3638         if (!map)
3639                 return NULL;
3640
3641         for (i = 1; i < map->n; ++i)
3642                 map->p[0] = isl_basic_map_align_divs(map->p[0], map->p[i]);
3643         for (i = 1; i < map->n; ++i)
3644                 map->p[i] = isl_basic_map_align_divs(map->p[i], map->p[0]);
3645
3646         ISL_F_CLR(map, ISL_MAP_NORMALIZED);
3647         return map;
3648 }
3649
3650 struct isl_set *isl_set_align_divs(struct isl_set *set)
3651 {
3652         return (struct isl_set *)isl_map_align_divs((struct isl_map *)set);
3653 }
3654
3655 static struct isl_map *add_cut_constraint(struct isl_map *dst,
3656                 struct isl_basic_map *src, isl_int *c,
3657                 unsigned len, int oppose)
3658 {
3659         struct isl_basic_map *copy = NULL;
3660         int is_empty;
3661         int k;
3662         unsigned total;
3663
3664         copy = isl_basic_map_copy(src);
3665         copy = isl_basic_map_cow(copy);
3666         if (!copy)
3667                 goto error;
3668         copy = isl_basic_map_extend_constraints(copy, 0, 1);
3669         k = isl_basic_map_alloc_inequality(copy);
3670         if (k < 0)
3671                 goto error;
3672         if (oppose)
3673                 isl_seq_neg(copy->ineq[k], c, len);
3674         else
3675                 isl_seq_cpy(copy->ineq[k], c, len);
3676         total = 1 + isl_basic_map_total_dim(copy);
3677         isl_seq_clr(copy->ineq[k]+len, total - len);
3678         isl_inequality_negate(copy, k);
3679         copy = isl_basic_map_simplify(copy);
3680         copy = isl_basic_map_finalize(copy);
3681         is_empty = isl_basic_map_is_empty(copy);
3682         if (is_empty < 0)
3683                 goto error;
3684         if (!is_empty)
3685                 dst = isl_map_add(dst, copy);
3686         else
3687                 isl_basic_map_free(copy);
3688         return dst;
3689 error:
3690         isl_basic_map_free(copy);
3691         isl_map_free(dst);
3692         return NULL;
3693 }
3694
3695 static struct isl_map *subtract(struct isl_map *map, struct isl_basic_map *bmap)
3696 {
3697         int i, j, k;
3698         unsigned flags = 0;
3699         struct isl_map *rest = NULL;
3700         unsigned max;
3701         unsigned total = isl_basic_map_total_dim(bmap);
3702
3703         assert(bmap);
3704
3705         if (!map)
3706                 goto error;
3707
3708         if (ISL_F_ISSET(map, ISL_MAP_DISJOINT))
3709                 ISL_FL_SET(flags, ISL_MAP_DISJOINT);
3710
3711         max = map->n * (2 * bmap->n_eq + bmap->n_ineq);
3712         rest = isl_map_alloc_dim(isl_dim_copy(map->dim), max, flags);
3713         if (!rest)
3714                 goto error;
3715
3716         for (i = 0; i < map->n; ++i) {
3717                 map->p[i] = isl_basic_map_align_divs(map->p[i], bmap);
3718                 if (!map->p[i])
3719                         goto error;
3720         }
3721
3722         for (j = 0; j < map->n; ++j)
3723                 map->p[j] = isl_basic_map_cow(map->p[j]);
3724
3725         for (i = 0; i < bmap->n_eq; ++i) {
3726                 for (j = 0; j < map->n; ++j) {
3727                         rest = add_cut_constraint(rest,
3728                                 map->p[j], bmap->eq[i], 1+total, 0);
3729                         if (!rest)
3730                                 goto error;
3731
3732                         rest = add_cut_constraint(rest,
3733                                 map->p[j], bmap->eq[i], 1+total, 1);
3734                         if (!rest)
3735                                 goto error;
3736
3737                         map->p[j] = isl_basic_map_extend_constraints(map->p[j],
3738                                 1, 0);
3739                         if (!map->p[j])
3740                                 goto error;
3741                         k = isl_basic_map_alloc_equality(map->p[j]);
3742                         if (k < 0)
3743                                 goto error;
3744                         isl_seq_cpy(map->p[j]->eq[k], bmap->eq[i], 1+total);
3745                         isl_seq_clr(map->p[j]->eq[k]+1+total,
3746                                         map->p[j]->n_div - bmap->n_div);
3747                 }
3748         }
3749
3750         for (i = 0; i < bmap->n_ineq; ++i) {
3751                 for (j = 0; j < map->n; ++j) {
3752                         rest = add_cut_constraint(rest,
3753                                 map->p[j], bmap->ineq[i], 1+total, 0);
3754                         if (!rest)
3755                                 goto error;
3756
3757                         map->p[j] = isl_basic_map_extend_constraints(map->p[j],
3758                                 0, 1);
3759                         if (!map->p[j])
3760                                 goto error;
3761                         k = isl_basic_map_alloc_inequality(map->p[j]);
3762                         if (k < 0)
3763                                 goto error;
3764                         isl_seq_cpy(map->p[j]->ineq[k], bmap->ineq[i], 1+total);
3765                         isl_seq_clr(map->p[j]->ineq[k]+1+total,
3766                                         map->p[j]->n_div - bmap->n_div);
3767                 }
3768         }
3769
3770         isl_map_free(map);
3771         return rest;
3772 error:
3773         isl_map_free(map);
3774         isl_map_free(rest);
3775         return NULL;
3776 }
3777
3778 struct isl_map *isl_map_subtract(struct isl_map *map1, struct isl_map *map2)
3779 {
3780         int i;
3781         if (!map1 || !map2)
3782                 goto error;
3783
3784         isl_assert(map1->ctx, isl_dim_equal(map1->dim, map2->dim), goto error);
3785
3786         if (isl_map_is_empty(map2)) {
3787                 isl_map_free(map2);
3788                 return map1;
3789         }
3790
3791         map1 = isl_map_compute_divs(map1);
3792         map2 = isl_map_compute_divs(map2);
3793         if (!map1 || !map2)
3794                 goto error;
3795
3796         for (i = 0; map1 && i < map2->n; ++i)
3797                 map1 = subtract(map1, map2->p[i]);
3798
3799         isl_map_free(map2);
3800         return map1;
3801 error:
3802         isl_map_free(map1);
3803         isl_map_free(map2);
3804         return NULL;
3805 }
3806
3807 struct isl_set *isl_set_subtract(struct isl_set *set1, struct isl_set *set2)
3808 {
3809         return (struct isl_set *)
3810                 isl_map_subtract(
3811                         (struct isl_map *)set1, (struct isl_map *)set2);
3812 }
3813
3814 struct isl_set *isl_set_apply(struct isl_set *set, struct isl_map *map)
3815 {
3816         if (!set || !map)
3817                 goto error;
3818         isl_assert(set->ctx, isl_map_compatible_domain(map, set), goto error);
3819         map = isl_map_intersect_domain(map, set);
3820         set = isl_map_range(map);
3821         return set;
3822 error:
3823         isl_set_free(set);
3824         isl_map_free(map);
3825         return NULL;
3826 }
3827
3828 /* There is no need to cow as removing empty parts doesn't change
3829  * the meaning of the set.
3830  */
3831 struct isl_map *isl_map_remove_empty_parts(struct isl_map *map)
3832 {
3833         int i;
3834
3835         if (!map)
3836                 return NULL;
3837
3838         for (i = map->n-1; i >= 0; --i) {
3839                 if (!ISL_F_ISSET(map->p[i], ISL_BASIC_MAP_EMPTY))
3840                         continue;
3841                 isl_basic_map_free(map->p[i]);
3842                 if (i != map->n-1) {
3843                         ISL_F_CLR(map, ISL_MAP_NORMALIZED);
3844                         map->p[i] = map->p[map->n-1];
3845                 }
3846                 map->n--;
3847         }
3848
3849         return map;
3850 }
3851
3852 struct isl_set *isl_set_remove_empty_parts(struct isl_set *set)
3853 {
3854         return (struct isl_set *)
3855                 isl_map_remove_empty_parts((struct isl_map *)set);
3856 }
3857
3858 struct isl_basic_map *isl_map_copy_basic_map(struct isl_map *map)
3859 {
3860         struct isl_basic_map *bmap;
3861         if (!map || map->n == 0)
3862                 return NULL;
3863         bmap = map->p[map->n-1];
3864         isl_assert(map->ctx, ISL_F_ISSET(bmap, ISL_BASIC_SET_FINAL), return NULL);
3865         return isl_basic_map_copy(bmap);
3866 }
3867
3868 struct isl_basic_set *isl_set_copy_basic_set(struct isl_set *set)
3869 {
3870         (struct isl_basic_set *)isl_map_copy_basic_map((struct isl_map *)set);
3871 }
3872
3873 struct isl_map *isl_map_drop_basic_map(struct isl_map *map,
3874                                                 struct isl_basic_map *bmap)
3875 {
3876         int i;
3877
3878         if (!map || !bmap)
3879                 goto error;
3880         for (i = map->n-1; i >= 0; --i) {
3881                 if (map->p[i] != bmap)
3882                         continue;
3883                 map = isl_map_cow(map);
3884                 if (!map)
3885                         goto error;
3886                 isl_basic_map_free(map->p[i]);
3887                 if (i != map->n-1) {
3888                         ISL_F_CLR(map, ISL_SET_NORMALIZED);
3889                         map->p[i] = map->p[map->n-1];
3890                 }
3891                 map->n--;
3892                 return map;
3893         }
3894         isl_basic_map_free(bmap);
3895         return map;
3896 error:
3897         isl_map_free(map);
3898         isl_basic_map_free(bmap);
3899         return NULL;
3900 }
3901
3902 struct isl_set *isl_set_drop_basic_set(struct isl_set *set,
3903                                                 struct isl_basic_set *bset)
3904 {
3905         (struct isl_set *)isl_map_drop_basic_map((struct isl_map *)set,
3906                                                 (struct isl_basic_map *)bset);
3907 }
3908
3909 /* Given two _disjoint_ basic sets bset1 and bset2, check whether
3910  * for any common value of the parameters and dimensions preceding dim
3911  * in both basic sets, the values of dimension pos in bset1 are
3912  * smaller or larger than those in bset2.
3913  *
3914  * Returns
3915  *       1 if bset1 follows bset2
3916  *      -1 if bset1 precedes bset2
3917  *       0 if bset1 and bset2 are incomparable
3918  *      -2 if some error occurred.
3919  */
3920 int isl_basic_set_compare_at(struct isl_basic_set *bset1,
3921         struct isl_basic_set *bset2, int pos)
3922 {
3923         struct isl_dim *dims;
3924         struct isl_basic_map *bmap1 = NULL;
3925         struct isl_basic_map *bmap2 = NULL;
3926         struct isl_ctx *ctx;
3927         struct isl_vec *obj;
3928         unsigned total;
3929         unsigned nparam;
3930         unsigned dim1, dim2;
3931         isl_int num, den;
3932         enum isl_lp_result res;
3933         int cmp;
3934
3935         if (!bset1 || !bset2)
3936                 return -2;
3937
3938         nparam = isl_basic_set_n_param(bset1);
3939         dim1 = isl_basic_set_n_dim(bset1);
3940         dim2 = isl_basic_set_n_dim(bset2);
3941         dims = isl_dim_alloc(bset1->ctx, nparam, pos, dim1 - pos);
3942         bmap1 = isl_basic_map_from_basic_set(isl_basic_set_copy(bset1), dims);
3943         dims = isl_dim_alloc(bset2->ctx, nparam, pos, dim2 - pos);
3944         bmap2 = isl_basic_map_from_basic_set(isl_basic_set_copy(bset2), dims);
3945         if (!bmap1 || !bmap2)
3946                 goto error;
3947         bmap1 = isl_basic_map_cow(bmap1);
3948         bmap1 = isl_basic_map_extend(bmap1, nparam,
3949                         pos, (dim1 - pos) + (dim2 - pos),
3950                         bmap2->n_div, bmap2->n_eq, bmap2->n_ineq);
3951         bmap1 = add_constraints(bmap1, bmap2, 0, dim1 - pos);
3952         if (!bmap1)
3953                 goto error;
3954         total = isl_basic_map_total_dim(bmap1);
3955         ctx = bmap1->ctx;
3956         obj = isl_vec_alloc(ctx, 1 + total);
3957         isl_seq_clr(obj->block.data, 1 + total);
3958         isl_int_set_si(obj->block.data[1+nparam+pos], 1);
3959         isl_int_set_si(obj->block.data[1+nparam+pos+(dim1-pos)], -1);
3960         if (!obj)
3961                 goto error;
3962         isl_int_init(num);
3963         isl_int_init(den);
3964         res = isl_solve_lp(bmap1, 0, obj->block.data, ctx->one, &num, &den);
3965         if (res == isl_lp_empty)
3966                 cmp = 0;
3967         else if (res == isl_lp_ok && isl_int_is_pos(num))
3968                 cmp = 1;
3969         else if ((res == isl_lp_ok && isl_int_is_neg(num)) ||
3970                   res == isl_lp_unbounded)
3971                 cmp = -1;
3972         else
3973                 cmp = -2;
3974         isl_int_clear(num);
3975         isl_int_clear(den);
3976         isl_basic_map_free(bmap1);
3977         isl_vec_free(ctx, obj);
3978         return cmp;
3979 error:
3980         isl_basic_map_free(bmap1);
3981         isl_basic_map_free(bmap2);
3982         return -2;
3983 }
3984
3985 static int isl_basic_map_fast_has_fixed_var(struct isl_basic_map *bmap,
3986         unsigned pos, isl_int *val)
3987 {
3988         int i;
3989         int d;
3990         unsigned total;
3991
3992         if (!bmap)
3993                 return -1;
3994         total = isl_basic_map_total_dim(bmap);
3995         for (i = 0, d = total-1; i < bmap->n_eq && d+1 > pos; ++i) {
3996                 for (; d+1 > pos; --d)
3997                         if (!isl_int_is_zero(bmap->eq[i][1+d]))
3998                                 break;
3999                 if (d != pos)
4000                         continue;
4001                 if (isl_seq_first_non_zero(bmap->eq[i]+1, d) != -1)
4002                         return 0;
4003                 if (isl_seq_first_non_zero(bmap->eq[i]+1+d+1, total-d-1) != -1)
4004                         return 0;
4005                 if (!isl_int_is_one(bmap->eq[i][1+d]))
4006                         return 0;
4007                 if (val)
4008                         isl_int_neg(*val, bmap->eq[i][0]);
4009                 return 1;
4010         }
4011         return 0;
4012 }
4013
4014 static int isl_map_fast_has_fixed_var(struct isl_map *map,
4015         unsigned pos, isl_int *val)
4016 {
4017         int i;
4018         isl_int v;
4019         isl_int tmp;
4020         int fixed;
4021
4022         if (!map)
4023                 return -1;
4024         if (map->n == 0)
4025                 return 0;
4026         if (map->n == 1)
4027                 return isl_basic_map_fast_has_fixed_var(map->p[0], pos, val);
4028         isl_int_init(v);
4029         isl_int_init(tmp);
4030         fixed = isl_basic_map_fast_has_fixed_var(map->p[0], pos, &v);
4031         for (i = 1; fixed == 1 && i < map->n; ++i) {
4032                 fixed = isl_basic_map_fast_has_fixed_var(map->p[i], pos, &tmp);
4033                 if (fixed == 1 && isl_int_ne(tmp, v))
4034                         fixed = 0;
4035         }
4036         if (val)
4037                 isl_int_set(*val, v);
4038         isl_int_clear(tmp);
4039         isl_int_clear(v);
4040         return fixed;
4041 }
4042
4043 static int isl_set_fast_has_fixed_var(struct isl_set *set, unsigned pos,
4044         isl_int *val)
4045 {
4046         return isl_map_fast_has_fixed_var((struct isl_map *)set, pos, val);
4047 }
4048
4049 int isl_basic_map_fast_is_fixed(struct isl_basic_map *bmap,
4050         enum isl_dim_type type, unsigned pos, isl_int *val)
4051 {
4052         if (pos >= isl_basic_map_dim(bmap, type))
4053                 return -1;
4054         return isl_basic_map_fast_has_fixed_var(bmap,
4055                 isl_basic_map_offset(bmap, type) - 1 + pos, val);
4056 }
4057
4058 /* Check if dimension dim has fixed value and if so and if val is not NULL,
4059  * then return this fixed value in *val.
4060  */
4061 int isl_set_fast_dim_is_fixed(struct isl_set *set, unsigned dim, isl_int *val)
4062 {
4063         return isl_set_fast_has_fixed_var(set, isl_set_n_param(set) + dim, val);
4064 }
4065
4066 /* Check if input variable in has fixed value and if so and if val is not NULL,
4067  * then return this fixed value in *val.
4068  */
4069 int isl_map_fast_input_is_fixed(struct isl_map *map, unsigned in, isl_int *val)
4070 {
4071         return isl_map_fast_has_fixed_var(map, isl_map_n_param(map) + in, val);
4072 }
4073
4074 /* Check if dimension dim has an (obvious) fixed lower bound and if so
4075  * and if val is not NULL, then return this lower bound in *val.
4076  */
4077 int isl_basic_set_fast_dim_has_fixed_lower_bound(struct isl_basic_set *bset,
4078         unsigned dim, isl_int *val)
4079 {
4080         int i, i_eq = -1, i_ineq = -1;
4081         isl_int *c;
4082         unsigned total;
4083         unsigned nparam;
4084
4085         if (!bset)
4086                 return -1;
4087         total = isl_basic_set_total_dim(bset);
4088         nparam = isl_basic_set_n_param(bset);
4089         for (i = 0; i < bset->n_eq; ++i) {
4090                 if (isl_int_is_zero(bset->eq[i][1+nparam+dim]))
4091                         continue;
4092                 if (i_eq != -1)
4093                         return 0;
4094                 i_eq = i;
4095         }
4096         for (i = 0; i < bset->n_ineq; ++i) {
4097                 if (!isl_int_is_pos(bset->ineq[i][1+nparam+dim]))
4098                         continue;
4099                 if (i_eq != -1 || i_ineq != -1)
4100                         return 0;
4101                 i_ineq = i;
4102         }
4103         if (i_eq == -1 && i_ineq == -1)
4104                 return 0;
4105         c = i_eq != -1 ? bset->eq[i_eq] : bset->ineq[i_ineq];
4106         /* The coefficient should always be one due to normalization. */
4107         if (!isl_int_is_one(c[1+nparam+dim]))
4108                 return 0;
4109         if (isl_seq_first_non_zero(c+1, nparam+dim) != -1)
4110                 return 0;
4111         if (isl_seq_first_non_zero(c+1+nparam+dim+1,
4112                                         total - nparam - dim - 1) != -1)
4113                 return 0;
4114         if (val)
4115                 isl_int_neg(*val, c[0]);
4116         return 1;
4117 }
4118
4119 int isl_set_fast_dim_has_fixed_lower_bound(struct isl_set *set,
4120         unsigned dim, isl_int *val)
4121 {
4122         int i;
4123         isl_int v;
4124         isl_int tmp;
4125         int fixed;
4126
4127         if (!set)
4128                 return -1;
4129         if (set->n == 0)
4130                 return 0;
4131         if (set->n == 1)
4132                 return isl_basic_set_fast_dim_has_fixed_lower_bound(set->p[0],
4133                                                                 dim, val);
4134         isl_int_init(v);
4135         isl_int_init(tmp);
4136         fixed = isl_basic_set_fast_dim_has_fixed_lower_bound(set->p[0],
4137                                                                 dim, &v);
4138         for (i = 1; fixed == 1 && i < set->n; ++i) {
4139                 fixed = isl_basic_set_fast_dim_has_fixed_lower_bound(set->p[i],
4140                                                                 dim, &tmp);
4141                 if (fixed == 1 && isl_int_ne(tmp, v))
4142                         fixed = 0;
4143         }
4144         if (val)
4145                 isl_int_set(*val, v);
4146         isl_int_clear(tmp);
4147         isl_int_clear(v);
4148         return fixed;
4149 }
4150
4151 struct constraint {
4152         unsigned        size;
4153         isl_int         *c;
4154 };
4155
4156 static int qsort_constraint_cmp(const void *p1, const void *p2)
4157 {
4158         const struct constraint *c1 = (const struct constraint *)p1;
4159         const struct constraint *c2 = (const struct constraint *)p2;
4160         unsigned size = isl_min(c1->size, c2->size);
4161         return isl_seq_cmp(c1->c, c2->c, size);
4162 }
4163
4164 static struct isl_basic_map *isl_basic_map_sort_constraints(
4165         struct isl_basic_map *bmap)
4166 {
4167         int i;
4168         struct constraint *c;
4169         unsigned total;
4170
4171         if (!bmap)
4172                 return NULL;
4173         total = isl_basic_map_total_dim(bmap);
4174         c = isl_alloc_array(bmap->ctx, struct constraint, bmap->n_ineq);
4175         if (!c)
4176                 goto error;
4177         for (i = 0; i < bmap->n_ineq; ++i) {
4178                 c[i].size = total;
4179                 c[i].c = bmap->ineq[i];
4180         }
4181         qsort(c, bmap->n_ineq, sizeof(struct constraint), qsort_constraint_cmp);
4182         for (i = 0; i < bmap->n_ineq; ++i)
4183                 bmap->ineq[i] = c[i].c;
4184         free(c);
4185         return bmap;
4186 error:
4187         isl_basic_map_free(bmap);
4188         return NULL;
4189 }
4190
4191 struct isl_basic_map *isl_basic_map_normalize(struct isl_basic_map *bmap)
4192 {
4193         if (!bmap)
4194                 return NULL;
4195         if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_NORMALIZED))
4196                 return bmap;
4197         bmap = isl_basic_map_convex_hull(bmap);
4198         bmap = isl_basic_map_sort_constraints(bmap);
4199         ISL_F_SET(bmap, ISL_BASIC_MAP_NORMALIZED);
4200         return bmap;
4201 }
4202
4203 struct isl_basic_set *isl_basic_set_normalize(struct isl_basic_set *bset)
4204 {
4205         return (struct isl_basic_set *)isl_basic_map_normalize(
4206                                                 (struct isl_basic_map *)bset);
4207 }
4208
4209 static int isl_basic_map_fast_cmp(const struct isl_basic_map *bmap1,
4210         const struct isl_basic_map *bmap2)
4211 {
4212         int i, cmp;
4213         unsigned total;
4214
4215         if (bmap1 == bmap2)
4216                 return 0;
4217         if (isl_basic_map_n_param(bmap1) != isl_basic_map_n_param(bmap2))
4218                 return isl_basic_map_n_param(bmap1) - isl_basic_map_n_param(bmap2);
4219         if (isl_basic_map_n_in(bmap1) != isl_basic_map_n_in(bmap2))
4220                 return isl_basic_map_n_out(bmap1) - isl_basic_map_n_out(bmap2);
4221         if (isl_basic_map_n_out(bmap1) != isl_basic_map_n_out(bmap2))
4222                 return isl_basic_map_n_out(bmap1) - isl_basic_map_n_out(bmap2);
4223         if (ISL_F_ISSET(bmap1, ISL_BASIC_MAP_EMPTY) &&
4224             ISL_F_ISSET(bmap2, ISL_BASIC_MAP_EMPTY))
4225                 return 0;
4226         if (ISL_F_ISSET(bmap1, ISL_BASIC_MAP_EMPTY))
4227                 return 1;
4228         if (ISL_F_ISSET(bmap2, ISL_BASIC_MAP_EMPTY))
4229                 return -1;
4230         if (bmap1->n_eq != bmap2->n_eq)
4231                 return bmap1->n_eq - bmap2->n_eq;
4232         if (bmap1->n_ineq != bmap2->n_ineq)
4233                 return bmap1->n_ineq - bmap2->n_ineq;
4234         if (bmap1->n_div != bmap2->n_div)
4235                 return bmap1->n_div - bmap2->n_div;
4236         total = isl_basic_map_total_dim(bmap1);
4237         for (i = 0; i < bmap1->n_eq; ++i) {
4238                 cmp = isl_seq_cmp(bmap1->eq[i], bmap2->eq[i], 1+total);
4239                 if (cmp)
4240                         return cmp;
4241         }
4242         for (i = 0; i < bmap1->n_ineq; ++i) {
4243                 cmp = isl_seq_cmp(bmap1->ineq[i], bmap2->ineq[i], 1+total);
4244                 if (cmp)
4245                         return cmp;
4246         }
4247         for (i = 0; i < bmap1->n_div; ++i) {
4248                 cmp = isl_seq_cmp(bmap1->div[i], bmap2->div[i], 1+1+total);
4249                 if (cmp)
4250                         return cmp;
4251         }
4252         return 0;
4253 }
4254
4255 static int isl_basic_map_fast_is_equal(struct isl_basic_map *bmap1,
4256         struct isl_basic_map *bmap2)
4257 {
4258         return isl_basic_map_fast_cmp(bmap1, bmap2) == 0;
4259 }
4260
4261 static int qsort_bmap_cmp(const void *p1, const void *p2)
4262 {
4263         const struct isl_basic_map *bmap1 = *(const struct isl_basic_map **)p1;
4264         const struct isl_basic_map *bmap2 = *(const struct isl_basic_map **)p2;
4265
4266         return isl_basic_map_fast_cmp(bmap1, bmap2);
4267 }
4268
4269 /* We normalize in place, but if anything goes wrong we need
4270  * to return NULL, so we need to make sure we don't change the
4271  * meaning of any possible other copies of map.
4272  */
4273 struct isl_map *isl_map_normalize(struct isl_map *map)
4274 {
4275         int i, j;
4276         struct isl_basic_map *bmap;
4277
4278         if (!map)
4279                 return NULL;
4280         if (ISL_F_ISSET(map, ISL_MAP_NORMALIZED))
4281                 return map;
4282         for (i = 0; i < map->n; ++i) {
4283                 bmap = isl_basic_map_normalize(isl_basic_map_copy(map->p[i]));
4284                 if (!bmap)
4285                         goto error;
4286                 isl_basic_map_free(map->p[i]);
4287                 map->p[i] = bmap;
4288         }
4289         qsort(map->p, map->n, sizeof(struct isl_basic_map *), qsort_bmap_cmp);
4290         ISL_F_SET(map, ISL_MAP_NORMALIZED);
4291         map = isl_map_remove_empty_parts(map);
4292         if (!map)
4293                 return NULL;
4294         for (i = map->n - 1; i >= 1; --i) {
4295                 if (!isl_basic_map_fast_is_equal(map->p[i-1], map->p[i]))
4296                         continue;
4297                 isl_basic_map_free(map->p[i-1]);
4298                 for (j = i; j < map->n; ++j)
4299                         map->p[j-1] = map->p[j];
4300                 map->n--;
4301         }
4302         return map;
4303 error:
4304         isl_map_free(map);
4305         return NULL;
4306
4307 }
4308
4309 struct isl_set *isl_set_normalize(struct isl_set *set)
4310 {
4311         return (struct isl_set *)isl_map_normalize((struct isl_map *)set);
4312 }
4313
4314 int isl_map_fast_is_equal(struct isl_map *map1, struct isl_map *map2)
4315 {
4316         int i;
4317         int equal;
4318
4319         if (!map1 || !map2)
4320                 return -1;
4321
4322         if (map1 == map2)
4323                 return 1;
4324         if (!isl_dim_equal(map1->dim, map2->dim))
4325                 return 0;
4326
4327         map1 = isl_map_copy(map1);
4328         map2 = isl_map_copy(map2);
4329         map1 = isl_map_normalize(map1);
4330         map2 = isl_map_normalize(map2);
4331         if (!map1 || !map2)
4332                 goto error;
4333         equal = map1->n == map2->n;
4334         for (i = 0; equal && i < map1->n; ++i) {
4335                 equal = isl_basic_map_fast_is_equal(map1->p[i], map2->p[i]);
4336                 if (equal < 0)
4337                         goto error;
4338         }
4339         isl_map_free(map1);
4340         isl_map_free(map2);
4341         return equal;
4342 error:
4343         isl_map_free(map1);
4344         isl_map_free(map2);
4345         return -1;
4346 }
4347
4348 int isl_set_fast_is_equal(struct isl_set *set1, struct isl_set *set2)
4349 {
4350         return isl_map_fast_is_equal((struct isl_map *)set1,
4351                                                 (struct isl_map *)set2);
4352 }
4353
4354 /* Return an interval that ranges from min to max (inclusive)
4355  */
4356 struct isl_basic_set *isl_basic_set_interval(struct isl_ctx *ctx,
4357         isl_int min, isl_int max)
4358 {
4359         int k;
4360         struct isl_basic_set *bset = NULL;
4361
4362         bset = isl_basic_set_alloc(ctx, 0, 1, 0, 0, 2);
4363         if (!bset)
4364                 goto error;
4365
4366         k = isl_basic_set_alloc_inequality(bset);
4367         if (k < 0)
4368                 goto error;
4369         isl_int_set_si(bset->ineq[k][1], 1);
4370         isl_int_neg(bset->ineq[k][0], min);
4371
4372         k = isl_basic_set_alloc_inequality(bset);
4373         if (k < 0)
4374                 goto error;
4375         isl_int_set_si(bset->ineq[k][1], -1);
4376         isl_int_set(bset->ineq[k][0], max);
4377
4378         return bset;
4379 error:
4380         isl_basic_set_free(bset);
4381         return NULL;
4382 }
4383
4384 /* Return the Cartesian product of the basic sets in list (in the given order).
4385  */
4386 struct isl_basic_set *isl_basic_set_product(struct isl_basic_set_list *list)
4387 {
4388         int i;
4389         unsigned dim;
4390         unsigned nparam;
4391         unsigned extra;
4392         unsigned n_eq;
4393         unsigned n_ineq;
4394         struct isl_basic_set *product = NULL;
4395
4396         if (!list)
4397                 goto error;
4398         isl_assert(list->ctx, list->n > 0, goto error);
4399         isl_assert(list->ctx, list->p[0], goto error);
4400         nparam = isl_basic_set_n_param(list->p[0]);
4401         dim = isl_basic_set_n_dim(list->p[0]);
4402         extra = list->p[0]->n_div;
4403         n_eq = list->p[0]->n_eq;
4404         n_ineq = list->p[0]->n_ineq;
4405         for (i = 1; i < list->n; ++i) {
4406                 isl_assert(list->ctx, list->p[i], goto error);
4407                 isl_assert(list->ctx,
4408                     nparam == isl_basic_set_n_param(list->p[i]), goto error);
4409                 dim += isl_basic_set_n_dim(list->p[i]);
4410                 extra += list->p[i]->n_div;
4411                 n_eq += list->p[i]->n_eq;
4412                 n_ineq += list->p[i]->n_ineq;
4413         }
4414         product = isl_basic_set_alloc(list->ctx, nparam, dim, extra,
4415                                         n_eq, n_ineq);
4416         if (!product)
4417                 goto error;
4418         dim = 0;
4419         for (i = 0; i < list->n; ++i) {
4420                 isl_basic_set_add_constraints(product,
4421                                         isl_basic_set_copy(list->p[i]), dim);
4422                 dim += isl_basic_set_n_dim(list->p[i]);
4423         }
4424         isl_basic_set_list_free(list);
4425         return product;
4426 error:
4427         isl_basic_set_free(product);
4428         isl_basic_set_list_free(list);
4429         return NULL;
4430 }
4431
4432 struct isl_basic_map *isl_basic_map_product(
4433                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
4434 {
4435         struct isl_dim *dim_result = NULL;
4436         struct isl_basic_map *bmap;
4437         unsigned in1, in2, out1, out2, nparam, total, pos;
4438         struct isl_dim_map *dim_map1, *dim_map2;
4439
4440         if (!bmap1 || !bmap2)
4441                 goto error;
4442
4443         isl_assert(map1->ctx, isl_dim_match(bmap1->dim, isl_dim_param,
4444                                      bmap2->dim, isl_dim_param), goto error);
4445         dim_result = isl_dim_product(isl_dim_copy(bmap1->dim),
4446                                                    isl_dim_copy(bmap2->dim));
4447
4448         in1 = isl_basic_map_n_in(bmap1);
4449         in2 = isl_basic_map_n_in(bmap2);
4450         out1 = isl_basic_map_n_out(bmap1);
4451         out2 = isl_basic_map_n_out(bmap2);
4452         nparam = isl_basic_map_n_param(bmap1);
4453
4454         total = nparam + in1 + in2 + out1 + out2 + bmap1->n_div + bmap2->n_div;
4455         dim_map1 = isl_dim_map_alloc(bmap1->ctx, total);
4456         dim_map2 = isl_dim_map_alloc(bmap1->ctx, total);
4457         isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_param, pos = 0);
4458         isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_param, pos = 0);
4459         isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_in, pos += nparam);
4460         isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_in, pos += in1);
4461         isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_out, pos += in2);
4462         isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_out, pos += out1);
4463         isl_dim_map_div(dim_map1, bmap1, pos += out2);
4464         isl_dim_map_div(dim_map2, bmap2, pos += bmap1->n_div);
4465
4466         bmap = isl_basic_map_alloc_dim(dim_result,
4467                         bmap1->n_div + bmap2->n_div,
4468                         bmap1->n_eq + bmap2->n_eq,
4469                         bmap1->n_ineq + bmap2->n_ineq);
4470         bmap = add_constraints_dim_map(bmap, bmap1, dim_map1);
4471         bmap = add_constraints_dim_map(bmap, bmap2, dim_map2);
4472         bmap = isl_basic_map_simplify(bmap);
4473         return isl_basic_map_finalize(bmap);
4474 error:
4475         isl_basic_map_free(bmap1);
4476         isl_basic_map_free(bmap2);
4477         return NULL;
4478 }
4479
4480 /* Given two maps A -> B and C -> D, construct a map (A, C) -> (B, D)
4481  */
4482 struct isl_map *isl_map_product(struct isl_map *map1, struct isl_map *map2)
4483 {
4484         unsigned flags = 0;
4485         struct isl_map *result;
4486         int i, j;
4487
4488         if (!map1 || !map2)
4489                 goto error;
4490
4491         isl_assert(map1->ctx, isl_dim_match(map1->dim, isl_dim_param,
4492                                          map2->dim, isl_dim_param), goto error);
4493
4494         if (ISL_F_ISSET(map1, ISL_MAP_DISJOINT) &&
4495             ISL_F_ISSET(map2, ISL_MAP_DISJOINT))
4496                 ISL_FL_SET(flags, ISL_MAP_DISJOINT);
4497
4498         result = isl_map_alloc_dim(isl_dim_product(isl_dim_copy(map1->dim),
4499                                                    isl_dim_copy(map2->dim)),
4500                                 map1->n * map2->n, flags);
4501         if (!result)
4502                 goto error;
4503         for (i = 0; i < map1->n; ++i)
4504                 for (j = 0; j < map2->n; ++j) {
4505                         struct isl_basic_map *part;
4506                         part = isl_basic_map_product(
4507                                     isl_basic_map_copy(map1->p[i]),
4508                                     isl_basic_map_copy(map2->p[j]));
4509                         if (isl_basic_map_is_empty(part))
4510                                 isl_basic_map_free(part);
4511                         else
4512                                 result = isl_map_add(result, part);
4513                         if (!result)
4514                                 goto error;
4515                 }
4516         isl_map_free(map1);
4517         isl_map_free(map2);
4518         return result;
4519 error:
4520         isl_map_free(map1);
4521         isl_map_free(map2);
4522         return NULL;
4523 }
4524
4525 uint32_t isl_basic_set_get_hash(struct isl_basic_set *bset)
4526 {
4527         int i;
4528         uint32_t hash;
4529         unsigned total;
4530
4531         if (!bset)
4532                 return 0;
4533         bset = isl_basic_set_copy(bset);
4534         bset = isl_basic_set_normalize(bset);
4535         if (!bset)
4536                 return 0;
4537         total = isl_basic_set_total_dim(bset);
4538         isl_hash_byte(hash, bset->n_eq & 0xFF);
4539         for (i = 0; i < bset->n_eq; ++i) {
4540                 uint32_t c_hash;
4541                 c_hash = isl_seq_get_hash(bset->eq[i], 1 + total);
4542                 isl_hash_hash(hash, c_hash);
4543         }
4544         isl_hash_byte(hash, bset->n_ineq & 0xFF);
4545         for (i = 0; i < bset->n_ineq; ++i) {
4546                 uint32_t c_hash;
4547                 c_hash = isl_seq_get_hash(bset->ineq[i], 1 + total);
4548                 isl_hash_hash(hash, c_hash);
4549         }
4550         isl_hash_byte(hash, bset->n_div & 0xFF);
4551         for (i = 0; i < bset->n_div; ++i) {
4552                 uint32_t c_hash;
4553                 if (isl_int_is_zero(bset->div[i][0]))
4554                         continue;
4555                 isl_hash_byte(hash, i & 0xFF);
4556                 c_hash = isl_seq_get_hash(bset->div[i], 1 + 1 + total);
4557                 isl_hash_hash(hash, c_hash);
4558         }
4559         isl_basic_set_free(bset);
4560         return hash;
4561 }
4562
4563 uint32_t isl_set_get_hash(struct isl_set *set)
4564 {
4565         int i;
4566         uint32_t hash;
4567
4568         if (!set)
4569                 return 0;
4570         set = isl_set_copy(set);
4571         set = isl_set_normalize(set);
4572         if (!set)
4573                 return 0;
4574
4575         hash = isl_hash_init();
4576         for (i = 0; i < set->n; ++i) {
4577                 uint32_t bset_hash;
4578                 bset_hash = isl_basic_set_get_hash(set->p[i]);
4579                 isl_hash_hash(hash, bset_hash);
4580         }
4581
4582         isl_set_free(set);
4583
4584         return hash;
4585 }
4586
4587 /* Check if the value for dimension dim is completely determined
4588  * by the values of the other parameters and variables.
4589  * That is, check if dimension dim is involved in an equality.
4590  */
4591 int isl_basic_set_dim_is_unique(struct isl_basic_set *bset, unsigned dim)
4592 {
4593         int i;
4594         unsigned nparam;
4595
4596         if (!bset)
4597                 return -1;
4598         nparam = isl_basic_set_n_param(bset);
4599         for (i = 0; i < bset->n_eq; ++i)
4600                 if (!isl_int_is_zero(bset->eq[i][1 + nparam + dim]))
4601                         return 1;
4602         return 0;
4603 }
4604
4605 /* Check if the value for dimension dim is completely determined
4606  * by the values of the other parameters and variables.
4607  * That is, check if dimension dim is involved in an equality
4608  * for each of the subsets.
4609  */
4610 int isl_set_dim_is_unique(struct isl_set *set, unsigned dim)
4611 {
4612         int i;
4613
4614         if (!set)
4615                 return -1;
4616         for (i = 0; i < set->n; ++i) {
4617                 int unique;
4618                 unique = isl_basic_set_dim_is_unique(set->p[i], dim);
4619                 if (unique != 1)
4620                         return unique;
4621         }
4622         return 1;
4623 }