isl_map.c

   1 #include <string.h>
   2 #include <strings.h>
   3 #include "isl_ctx.h"
   4 #include "isl_blk.h"
   5 #include "isl_seq.h"
   6 #include "isl_set.h"
   7 #include "isl_map.h"
   8 #include "isl_map_private.h"
   9 #include "isl_map_piplib.h"
  10 #include "isl_sample.h"
  11 #include "isl_vec.h"
  12
  13 static struct isl_basic_map *basic_map_init(struct isl_ctx *ctx,
  14                 struct isl_basic_map *bmap,
  15                 unsigned nparam, unsigned n_in, unsigned n_out, unsigned extra,
  16                 unsigned n_eq, unsigned n_ineq)
  17 {
  18         int i;
  19         size_t row_size = 1 + nparam + n_in + n_out + extra;
  20
  21         bmap->block = isl_blk_alloc(ctx, (n_eq + n_ineq) * row_size);
  22         if (isl_blk_is_error(bmap->block)) {
  23                 free(bmap);
  24                 return NULL;
  25         }
  26
  27         bmap->eq = isl_alloc_array(ctx, isl_int *, n_eq + n_ineq);
  28         if (!bmap->eq) {
  29                 isl_blk_free(ctx, bmap->block);
  30                 free(bmap);
  31                 return NULL;
  32         }
  33
  34         if (extra == 0) {
  35                 bmap->block2 = isl_blk_empty();
  36                 bmap->div = NULL;
  37         } else {
  38                 bmap->block2 = isl_blk_alloc(ctx, extra * (1 + row_size));
  39                 if (isl_blk_is_error(bmap->block2)) {
  40                         free(bmap->eq);
  41                         isl_blk_free(ctx, bmap->block);
  42                         free(bmap);
  43                         return NULL;
  44                 }
  45
  46                 bmap->div = isl_alloc_array(ctx, isl_int *, extra);
  47                 if (!bmap->div) {
  48                         isl_blk_free(ctx, bmap->block2);
  49                         free(bmap->eq);
  50                         isl_blk_free(ctx, bmap->block);
  51                         free(bmap);
  52                         return NULL;
  53                 }
  54         }
  55
  56         for (i = 0; i < n_eq + n_ineq; ++i)
  57                 bmap->eq[i] = bmap->block.data + i * row_size;
  58
  59         for (i = 0; i < extra; ++i)
  60                 bmap->div[i] = bmap->block2.data + i * (1 + row_size);
  61
  62         bmap->ctx = ctx;
  63         isl_ctx_ref(ctx);
  64         bmap->ref = 1;
  65         bmap->flags = 0;
  66         bmap->c_size = n_eq + n_ineq;
  67         bmap->ineq = bmap->eq + n_eq;
  68         bmap->nparam = nparam;
  69         bmap->n_in = n_in;
  70         bmap->n_out = n_out;
  71         bmap->extra = extra;
  72         bmap->n_eq = 0;
  73         bmap->n_ineq = 0;
  74         bmap->n_div = 0;
  75         bmap->sample = NULL;
  76
  77         return bmap;
  78 }
  79
  80 struct isl_basic_set *isl_basic_set_alloc(struct isl_ctx *ctx,
  81                 unsigned nparam, unsigned dim, unsigned extra,
  82                 unsigned n_eq, unsigned n_ineq)
  83 {
  84         struct isl_basic_map *bmap;
  85         bmap = isl_basic_map_alloc(ctx, nparam, 0, dim, extra, n_eq, n_ineq);
  86         return (struct isl_basic_set *)bmap;
  87 }
  88
  89 struct isl_basic_map *isl_basic_map_alloc(struct isl_ctx *ctx,
  90                 unsigned nparam, unsigned in, unsigned out, unsigned extra,
  91                 unsigned n_eq, unsigned n_ineq)
  92 {
  93         struct isl_basic_map *bmap;
  94
  95         bmap = isl_alloc_type(ctx, struct isl_basic_map);
  96         if (!bmap)
  97                 return NULL;
  98
  99         return basic_map_init(ctx, bmap,
 100                                nparam, in, out, extra, n_eq, n_ineq);
 101 }
 102
 103 static void dup_constraints(
 104                 struct isl_basic_map *dst, struct isl_basic_map *src)
 105 {
 106         int i;
 107         unsigned total = src->nparam + src->n_in + src->n_out + src->n_div;
 108
 109         for (i = 0; i < src->n_eq; ++i) {
 110                 int j = isl_basic_map_alloc_equality(dst);
 111                 isl_seq_cpy(dst->eq[j], src->eq[i], 1+total);
 112         }
 113
 114         for (i = 0; i < src->n_ineq; ++i) {
 115                 int j = isl_basic_map_alloc_inequality(dst);
 116                 isl_seq_cpy(dst->ineq[j], src->ineq[i], 1+total);
 117         }
 118
 119         for (i = 0; i < src->n_div; ++i) {
 120                 int j = isl_basic_map_alloc_div(dst);
 121                 isl_seq_cpy(dst->div[j], src->div[i], 1+1+total);
 122         }
 123         F_SET(dst, ISL_BASIC_SET_FINAL);
 124 }
 125
 126 struct isl_basic_map *isl_basic_map_dup(struct isl_basic_map *bmap)
 127 {
 128         struct isl_basic_map *dup;
 129
 130         if (!bmap)
 131                 return NULL;
 132         dup = isl_basic_map_alloc(bmap->ctx, bmap->nparam,
 133                         bmap->n_in, bmap->n_out,
 134                         bmap->n_div, bmap->n_eq, bmap->n_ineq);
 135         if (!dup)
 136                 return NULL;
 137         dup->flags = bmap->flags;
 138         dup_constraints(dup, bmap);
 139         dup->sample = isl_vec_copy(bmap->ctx, bmap->sample);
 140         return dup;
 141 }
 142
 143 struct isl_basic_set *isl_basic_set_dup(struct isl_basic_set *bset)
 144 {
 145         struct isl_basic_map *dup;
 146
 147         dup = isl_basic_map_dup((struct isl_basic_map *)bset);
 148         return (struct isl_basic_set *)dup;
 149 }
 150
 151 struct isl_basic_set *isl_basic_set_copy(struct isl_basic_set *bset)
 152 {
 153         if (!bset)
 154                 return NULL;
 155
 156         if (F_ISSET(bset, ISL_BASIC_SET_FINAL)) {
 157                 bset->ref++;
 158                 return bset;
 159         }
 160         return isl_basic_set_dup(bset);
 161 }
 162
 163 struct isl_set *isl_set_copy(struct isl_set *set)
 164 {
 165         if (!set)
 166                 return NULL;
 167
 168         set->ref++;
 169         return set;
 170 }
 171
 172 struct isl_basic_map *isl_basic_map_copy(struct isl_basic_map *bmap)
 173 {
 174         if (!bmap)
 175                 return NULL;
 176
 177         if (F_ISSET(bmap, ISL_BASIC_SET_FINAL)) {
 178                 bmap->ref++;
 179                 return bmap;
 180         }
 181         return isl_basic_map_dup(bmap);
 182 }
 183
 184 struct isl_map *isl_map_copy(struct isl_map *map)
 185 {
 186         if (!map)
 187                 return NULL;
 188
 189         map->ref++;
 190         return map;
 191 }
 192
 193 void isl_basic_map_free(struct isl_basic_map *bmap)
 194 {
 195         if (!bmap)
 196                 return;
 197
 198         if (--bmap->ref > 0)
 199                 return;
 200
 201         isl_ctx_deref(bmap->ctx);
 202         free(bmap->div);
 203         isl_blk_free(bmap->ctx, bmap->block2);
 204         free(bmap->eq);
 205         isl_blk_free(bmap->ctx, bmap->block);
 206         isl_vec_free(bmap->ctx, bmap->sample);
 207         free(bmap);
 208 }
 209
 210 void isl_basic_set_free(struct isl_basic_set *bset)
 211 {
 212         isl_basic_map_free((struct isl_basic_map *)bset);
 213 }
 214
 215 int isl_basic_map_alloc_equality(struct isl_basic_map *bmap)
 216 {
 217         struct isl_ctx *ctx;
 218         if (!bmap)
 219                 return -1;
 220         ctx = bmap->ctx;
 221         isl_assert(ctx, bmap->n_eq + bmap->n_ineq < bmap->c_size, return -1);
 222         isl_assert(ctx, bmap->eq + bmap->n_eq <= bmap->ineq, return -1);
 223         if (bmap->eq + bmap->n_eq == bmap->ineq) {
 224                 isl_int *t;
 225                 int j = isl_basic_map_alloc_inequality(bmap);
 226                 if (j < 0)
 227                         return -1;
 228                 t = bmap->ineq[0];
 229                 bmap->ineq[0] = bmap->ineq[j];
 230                 bmap->ineq[j] = t;
 231                 bmap->n_ineq--;
 232                 bmap->ineq++;
 233         }
 234         return bmap->n_eq++;
 235 }
 236
 237 int isl_basic_set_alloc_equality(struct isl_basic_set *bset)
 238 {
 239         return isl_basic_map_alloc_equality((struct isl_basic_map *)bset);
 240 }
 241
 242 int isl_basic_map_free_equality(struct isl_basic_map *bmap, unsigned n)
 243 {
 244         if (!bmap)
 245                 return -1;
 246         isl_assert(bmap->ctx, n <= bmap->n_eq, return -1);
 247         bmap->n_eq -= n;
 248         return 0;
 249 }
 250
 251 int isl_basic_map_drop_equality(struct isl_basic_map *bmap, unsigned pos)
 252 {
 253         isl_int *t;
 254         if (!bmap)
 255                 return -1;
 256         isl_assert(bmap->ctx, pos < bmap->n_eq, return -1);
 257
 258         if (pos != bmap->n_eq - 1) {
 259                 t = bmap->eq[pos];
 260                 bmap->eq[pos] = bmap->eq[bmap->n_eq - 1];
 261                 bmap->eq[bmap->n_eq - 1] = t;
 262         }
 263         bmap->n_eq--;
 264         return 0;
 265 }
 266
 267 int isl_basic_set_drop_equality(struct isl_basic_set *bset, unsigned pos)
 268 {
 269         return isl_basic_map_drop_equality((struct isl_basic_map *)bset, pos);
 270 }
 271
 272 void isl_basic_map_inequality_to_equality(
 273                 struct isl_basic_map *bmap, unsigned pos)
 274 {
 275         isl_int *t;
 276
 277         t = bmap->ineq[pos];
 278         bmap->ineq[pos] = bmap->ineq[0];
 279         bmap->ineq[0] = bmap->eq[bmap->n_eq];
 280         bmap->eq[bmap->n_eq] = t;
 281         bmap->n_eq++;
 282         bmap->n_ineq--;
 283         bmap->ineq++;
 284 }
 285
 286 int isl_basic_map_alloc_inequality(struct isl_basic_map *bmap)
 287 {
 288         struct isl_ctx *ctx;
 289         if (!bmap)
 290                 return -1;
 291         ctx = bmap->ctx;
 292         isl_assert(ctx, (bmap->ineq - bmap->eq) + bmap->n_ineq < bmap->c_size,
 293                         return -1);
 294         F_CLR(bmap, ISL_BASIC_MAP_NO_IMPLICIT);
 295         F_CLR(bmap, ISL_BASIC_MAP_NO_REDUNDANT);
 296         return bmap->n_ineq++;
 297 }
 298
 299 int isl_basic_set_alloc_inequality(struct isl_basic_set *bset)
 300 {
 301         return isl_basic_map_alloc_inequality((struct isl_basic_map *)bset);
 302 }
 303
 304 int isl_basic_map_free_inequality(struct isl_basic_map *bmap, unsigned n)
 305 {
 306         if (!bmap)
 307                 return -1;
 308         isl_assert(bmap->ctx, n <= bmap->n_ineq, return -1);
 309         bmap->n_ineq -= n;
 310         return 0;
 311 }
 312
 313 int isl_basic_set_free_inequality(struct isl_basic_set *bset, unsigned n)
 314 {
 315         return isl_basic_map_free_inequality((struct isl_basic_map *)bset, n);
 316 }
 317
 318 int isl_basic_map_drop_inequality(struct isl_basic_map *bmap, unsigned pos)
 319 {
 320         isl_int *t;
 321         if (!bmap)
 322                 return -1;
 323         isl_assert(bmap->ctx, pos < bmap->n_ineq, return -1);
 324
 325         if (pos != bmap->n_ineq - 1) {
 326                 t = bmap->ineq[pos];
 327                 bmap->ineq[pos] = bmap->ineq[bmap->n_ineq - 1];
 328                 bmap->ineq[bmap->n_ineq - 1] = t;
 329         }
 330         bmap->n_ineq--;
 331         return 0;
 332 }
 333
 334 int isl_basic_set_drop_inequality(struct isl_basic_set *bset, unsigned pos)
 335 {
 336         return isl_basic_map_drop_inequality((struct isl_basic_map *)bset, pos);
 337 }
 338
 339 int isl_basic_map_alloc_div(struct isl_basic_map *bmap)
 340 {
 341         if (!bmap)
 342                 return -1;
 343         isl_assert(bmap->ctx, bmap->n_div < bmap->extra, return -1);
 344         return bmap->n_div++;
 345 }
 346
 347 int isl_basic_map_free_div(struct isl_basic_map *bmap, unsigned n)
 348 {
 349         if (!bmap)
 350                 return -1;
 351         isl_assert(bmap->ctx, n <= bmap->n_div, return -1);
 352         bmap->n_div -= n;
 353         return 0;
 354 }
 355
 356 /* Copy constraint from src to dst, putting the vars of src at offset
 357  * dim_off in dst and the divs of src at offset div_off in dst.
 358  * If both sets are actually map, then dim_off applies to the input
 359  * variables.
 360  */
 361 static void copy_constraint(struct isl_basic_map *dst_map, isl_int *dst,
 362                             struct isl_basic_map *src_map, isl_int *src,
 363                             unsigned in_off, unsigned out_off, unsigned div_off)
 364 {
 365         isl_int_set(dst[0], src[0]);
 366         isl_seq_cpy(dst+1, src+1, isl_min(dst_map->nparam, src_map->nparam));
 367         if (dst_map->nparam > src_map->nparam)
 368                 isl_seq_clr(dst+1+src_map->nparam,
 369                                 dst_map->nparam - src_map->nparam);
 370         isl_seq_clr(dst+1+dst_map->nparam, in_off);
 371         isl_seq_cpy(dst+1+dst_map->nparam+in_off,
 372                     src+1+src_map->nparam,
 373                     isl_min(dst_map->n_in-in_off, src_map->n_in));
 374         if (dst_map->n_in-in_off > src_map->n_in)
 375                 isl_seq_clr(dst+1+dst_map->nparam+in_off+src_map->n_in,
 376                                 dst_map->n_in - in_off - src_map->n_in);
 377         isl_seq_clr(dst+1+dst_map->nparam+dst_map->n_in, out_off);
 378         isl_seq_cpy(dst+1+dst_map->nparam+dst_map->n_in+out_off,
 379                     src+1+src_map->nparam+src_map->n_in,
 380                     isl_min(dst_map->n_out-out_off, src_map->n_out));
 381         if (dst_map->n_out-out_off > src_map->n_out)
 382                 isl_seq_clr(dst+1+dst_map->nparam+dst_map->n_in+out_off+src_map->n_out,
 383                                 dst_map->n_out - out_off - src_map->n_out);
 384         isl_seq_clr(dst+1+dst_map->nparam+dst_map->n_in+dst_map->n_out, div_off);
 385         isl_seq_cpy(dst+1+dst_map->nparam+dst_map->n_in+dst_map->n_out+div_off,
 386                     src+1+src_map->nparam+src_map->n_in+src_map->n_out,
 387                     isl_min(dst_map->extra-div_off, src_map->extra));
 388         if (dst_map->extra-div_off > src_map->extra)
 389                 isl_seq_clr(dst+1+dst_map->nparam+dst_map->n_in+dst_map->n_out+
 390                                 div_off+src_map->extra,
 391                                 dst_map->extra - div_off - src_map->extra);
 392 }
 393
 394 static void copy_div(struct isl_basic_map *dst_map, isl_int *dst,
 395                      struct isl_basic_map *src_map, isl_int *src,
 396                      unsigned in_off, unsigned out_off, unsigned div_off)
 397 {
 398         isl_int_set(dst[0], src[0]);
 399         copy_constraint(dst_map, dst+1, src_map, src+1, in_off, out_off, div_off);
 400 }
 401
 402 static struct isl_basic_map *add_constraints(struct isl_basic_map *bmap1,
 403                 struct isl_basic_map *bmap2, unsigned i_pos, unsigned o_pos)
 404 {
 405         int i;
 406         unsigned div_off = bmap1->n_div;
 407
 408         for (i = 0; i < bmap2->n_eq; ++i) {
 409                 int i1 = isl_basic_map_alloc_equality(bmap1);
 410                 if (i1 < 0)
 411                         goto error;
 412                 copy_constraint(bmap1, bmap1->eq[i1], bmap2, bmap2->eq[i],
 413                                 i_pos, o_pos, div_off);
 414         }
 415
 416         for (i = 0; i < bmap2->n_ineq; ++i) {
 417                 int i1 = isl_basic_map_alloc_inequality(bmap1);
 418                 if (i1 < 0)
 419                         goto error;
 420                 copy_constraint(bmap1, bmap1->ineq[i1], bmap2, bmap2->ineq[i],
 421                                 i_pos, o_pos, div_off);
 422         }
 423
 424         for (i = 0; i < bmap2->n_div; ++i) {
 425                 int i1 = isl_basic_map_alloc_div(bmap1);
 426                 if (i1 < 0)
 427                         goto error;
 428                 copy_div(bmap1, bmap1->div[i1], bmap2, bmap2->div[i],
 429                          i_pos, o_pos, div_off);
 430         }
 431
 432         isl_basic_map_free(bmap2);
 433
 434         return bmap1;
 435
 436 error:
 437         isl_basic_map_free(bmap1);
 438         isl_basic_map_free(bmap2);
 439         return NULL;
 440 }
 441
 442 struct isl_basic_map *isl_basic_map_extend(struct isl_basic_map *base,
 443                 unsigned nparam, unsigned n_in, unsigned n_out, unsigned extra,
 444                 unsigned n_eq, unsigned n_ineq)
 445 {
 446         struct isl_basic_map *ext;
 447         unsigned flags;
 448         int dims_ok;
 449
 450         base = isl_basic_map_cow(base);
 451         if (!base)
 452                 goto error;
 453
 454         dims_ok = base && base->nparam == nparam &&
 455                   base->n_in == n_in && base->n_out == n_out &&
 456                   base->extra >= base->n_div + extra;
 457
 458         if (dims_ok && n_eq == 0 && n_ineq == 0)
 459                 return base;
 460
 461         isl_assert(base->ctx, base->nparam <= nparam, goto error);
 462         isl_assert(base->ctx, base->n_in <= n_in, goto error);
 463         isl_assert(base->ctx, base->n_out <= n_out, goto error);
 464         extra += base->extra;
 465         n_eq += base->n_eq;
 466         n_ineq += base->n_ineq;
 467
 468         ext = isl_basic_map_alloc(base->ctx, nparam, n_in, n_out,
 469                                         extra, n_eq, n_ineq);
 470         if (!base)
 471                 return ext;
 472         if (!ext)
 473                 goto error;
 474
 475         flags = base->flags;
 476         ext = add_constraints(ext, base, 0, 0);
 477         if (ext) {
 478                 ext->flags = flags;
 479                 F_CLR(ext, ISL_BASIC_SET_FINAL);
 480         }
 481
 482         return ext;
 483
 484 error:
 485         isl_basic_map_free(base);
 486         return NULL;
 487 }
 488
 489 struct isl_basic_set *isl_basic_set_extend(struct isl_basic_set *base,
 490                 unsigned nparam, unsigned dim, unsigned extra,
 491                 unsigned n_eq, unsigned n_ineq)
 492 {
 493         return (struct isl_basic_set *)
 494                 isl_basic_map_extend((struct isl_basic_map *)base,
 495                                         nparam, 0, dim, extra, n_eq, n_ineq);
 496 }
 497
 498 struct isl_basic_set *isl_basic_set_cow(struct isl_basic_set *bset)
 499 {
 500         return (struct isl_basic_set *)
 501                 isl_basic_map_cow((struct isl_basic_map *)bset);
 502 }
 503
 504 struct isl_basic_map *isl_basic_map_cow(struct isl_basic_map *bmap)
 505 {
 506         if (!bmap)
 507                 return NULL;
 508
 509         if (bmap->ref > 1) {
 510                 bmap->ref--;
 511                 bmap = isl_basic_map_dup(bmap);
 512         }
 513         F_CLR(bmap, ISL_BASIC_SET_FINAL);
 514         return bmap;
 515 }
 516
 517 struct isl_set *isl_set_cow(struct isl_set *set)
 518 {
 519         if (!set)
 520                 return NULL;
 521
 522         if (set->ref == 1)
 523                 return set;
 524         set->ref--;
 525         return isl_set_dup(set);
 526 }
 527
 528 struct isl_map *isl_map_cow(struct isl_map *map)
 529 {
 530         if (!map)
 531                 return NULL;
 532
 533         if (map->ref == 1)
 534                 return map;
 535         map->ref--;
 536         return isl_map_dup(map);
 537 }
 538
 539 static void swap_vars(struct isl_blk blk, isl_int *a,
 540                         unsigned a_len, unsigned b_len)
 541 {
 542         isl_seq_cpy(blk.data, a+a_len, b_len);
 543         isl_seq_cpy(blk.data+b_len, a, a_len);
 544         isl_seq_cpy(a, blk.data, b_len+a_len);
 545 }
 546
 547 struct isl_basic_set *isl_basic_set_swap_vars(
 548                 struct isl_basic_set *bset, unsigned n)
 549 {
 550         int i;
 551         struct isl_blk blk;
 552
 553         if (!bset)
 554                 goto error;
 555
 556         isl_assert(bset->ctx, n <= bset->dim, goto error);
 557
 558         if (n == bset->dim)
 559                 return bset;
 560
 561         bset = isl_basic_set_cow(bset);
 562         if (!bset)
 563                 return NULL;
 564
 565         blk = isl_blk_alloc(bset->ctx, bset->dim);
 566         if (isl_blk_is_error(blk))
 567                 goto error;
 568
 569         for (i = 0; i < bset->n_eq; ++i)
 570                 swap_vars(blk,
 571                           bset->eq[i]+1+bset->nparam, n, bset->dim - n);
 572
 573         for (i = 0; i < bset->n_ineq; ++i)
 574                 swap_vars(blk,
 575                           bset->ineq[i]+1+bset->nparam, n, bset->dim - n);
 576
 577         for (i = 0; i < bset->n_div; ++i)
 578                 swap_vars(blk,
 579                           bset->div[i]+1+1+bset->nparam, n, bset->dim - n);
 580
 581         isl_blk_free(bset->ctx, blk);
 582
 583         return bset;
 584
 585 error:
 586         isl_basic_set_free(bset);
 587         return NULL;
 588 }
 589
 590 struct isl_set *isl_set_swap_vars(struct isl_set *set, unsigned n)
 591 {
 592         int i;
 593         set = isl_set_cow(set);
 594         if (!set)
 595                 return NULL;
 596
 597         for (i = 0; i < set->n; ++i) {
 598                 set->p[i] = isl_basic_set_swap_vars(set->p[i], n);
 599                 if (!set->p[i]) {
 600                         isl_set_free(set);
 601                         return NULL;
 602                 }
 603         }
 604         return set;
 605 }
 606
 607 static void constraint_drop_vars(isl_int *c, unsigned n, unsigned rem)
 608 {
 609         isl_seq_cpy(c, c + n, rem);
 610         isl_seq_clr(c + rem, n);
 611 }
 612
 613 struct isl_basic_set *isl_basic_set_drop_vars(
 614                 struct isl_basic_set *bset, unsigned first, unsigned n)
 615 {
 616         int i;
 617
 618         if (!bset)
 619                 goto error;
 620
 621         isl_assert(bset->ctx, first + n <= bset->dim, goto error);
 622
 623         if (n == 0)
 624                 return bset;
 625
 626         bset = isl_basic_set_cow(bset);
 627         if (!bset)
 628                 return NULL;
 629
 630         for (i = 0; i < bset->n_eq; ++i)
 631                 constraint_drop_vars(bset->eq[i]+1+bset->nparam+first, n,
 632                                      (bset->dim-first-n)+bset->extra);
 633
 634         for (i = 0; i < bset->n_ineq; ++i)
 635                 constraint_drop_vars(bset->ineq[i]+1+bset->nparam+first, n,
 636                                      (bset->dim-first-n)+bset->extra);
 637
 638         for (i = 0; i < bset->n_div; ++i)
 639                 constraint_drop_vars(bset->div[i]+1+1+bset->nparam+first, n,
 640                                      (bset->dim-first-n)+bset->extra);
 641
 642         bset->dim -= n;
 643         bset->extra += n;
 644
 645         return isl_basic_set_finalize(bset);
 646 error:
 647         isl_basic_set_free(bset);
 648         return NULL;
 649 }
 650
 651 struct isl_set *isl_set_drop_vars(
 652                 struct isl_set *set, unsigned first, unsigned n)
 653 {
 654         int i;
 655
 656         if (!set)
 657                 goto error;
 658
 659         isl_assert(set->ctx, first + n <= set->dim, goto error);
 660
 661         if (n == 0)
 662                 return set;
 663         set = isl_set_cow(set);
 664         if (!set)
 665                 goto error;
 666
 667         for (i = 0; i < set->n; ++i) {
 668                 set->p[i] = isl_basic_set_drop_vars(set->p[i], first, n);
 669                 if (!set->p[i])
 670                         goto error;
 671         }
 672         set->dim -= n;
 673
 674         return set;
 675 error:
 676         isl_set_free(set);
 677         return NULL;
 678 }
 679
 680 /*
 681  * We don't cow, as the div is assumed to be redundant.
 682  */
 683 static struct isl_basic_map *isl_basic_map_drop_div(
 684                 struct isl_basic_map *bmap, unsigned div)
 685 {
 686         int i;
 687         unsigned pos;
 688
 689         if (!bmap)
 690                 goto error;
 691
 692         pos = 1 + bmap->nparam + bmap->n_in + bmap->n_out + div;
 693
 694         isl_assert(bmap->ctx, div < bmap->n_div, goto error);
 695
 696         for (i = 0; i < bmap->n_eq; ++i)
 697                 constraint_drop_vars(bmap->eq[i]+pos, 1, bmap->extra-div-1);
 698
 699         for (i = 0; i < bmap->n_ineq; ++i) {
 700                 if (!isl_int_is_zero(bmap->ineq[i][pos])) {
 701                         isl_basic_map_drop_inequality(bmap, i);
 702                         --i;
 703                         continue;
 704                 }
 705                 constraint_drop_vars(bmap->ineq[i]+pos, 1, bmap->extra-div-1);
 706         }
 707
 708         for (i = 0; i < bmap->n_div; ++i)
 709                 constraint_drop_vars(bmap->div[i]+1+pos, 1, bmap->extra-div-1);
 710
 711         if (div != bmap->n_div - 1) {
 712                 int j;
 713                 isl_int *t = bmap->div[div];
 714
 715                 for (j = div; j < bmap->n_div - 1; ++j)
 716                         bmap->div[j] = bmap->div[j+1];
 717
 718                 bmap->div[bmap->n_div - 1] = t;
 719         }
 720         isl_basic_map_free_div(bmap, 1);
 721
 722         return bmap;
 723 error:
 724         isl_basic_map_free(bmap);
 725         return NULL;
 726 }
 727
 728 static void eliminate_div(struct isl_basic_map *bmap, isl_int *eq, unsigned div)
 729 {
 730         int i;
 731         unsigned pos = 1 + bmap->nparam + bmap->n_in + bmap->n_out + div;
 732         unsigned len;
 733         len = 1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
 734
 735         for (i = 0; i < bmap->n_eq; ++i)
 736                 if (bmap->eq[i] != eq)
 737                         isl_seq_elim(bmap->eq[i], eq, pos, len, NULL);
 738
 739         for (i = 0; i < bmap->n_ineq; ++i)
 740                 isl_seq_elim(bmap->ineq[i], eq, pos, len, NULL);
 741
 742         /* We need to be careful about circular definitions,
 743          * so for now we just remove the definitions of other divs that
 744          * depend on this div and (possibly) recompute them later.
 745          */
 746         for (i = 0; i < bmap->n_div; ++i)
 747                 if (!isl_int_is_zero(bmap->div[i][0]) &&
 748                     !isl_int_is_zero(bmap->div[i][1 + pos]))
 749                         isl_seq_clr(bmap->div[i], 1 + len);
 750
 751         isl_basic_map_drop_div(bmap, div);
 752 }
 753
 754 struct isl_basic_map *isl_basic_map_set_to_empty(struct isl_basic_map *bmap)
 755 {
 756         int i = 0;
 757         unsigned total;
 758         if (!bmap)
 759                 goto error;
 760         total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->extra;
 761         isl_basic_map_free_div(bmap, bmap->n_div);
 762         isl_basic_map_free_inequality(bmap, bmap->n_ineq);
 763         if (bmap->n_eq > 0)
 764                 isl_basic_map_free_equality(bmap, bmap->n_eq-1);
 765         else {
 766                 isl_basic_map_alloc_equality(bmap);
 767                 if (i < 0)
 768                         goto error;
 769         }
 770         isl_int_set_si(bmap->eq[i][0], 1);
 771         isl_seq_clr(bmap->eq[i]+1, total);
 772         F_SET(bmap, ISL_BASIC_MAP_EMPTY);
 773         return isl_basic_map_finalize(bmap);
 774 error:
 775         isl_basic_map_free(bmap);
 776         return NULL;
 777 }
 778
 779 struct isl_basic_set *isl_basic_set_set_to_empty(struct isl_basic_set *bset)
 780 {
 781         return (struct isl_basic_set *)
 782                 isl_basic_map_set_to_empty((struct isl_basic_map *)bset);
 783 }
 784
 785 static void swap_equality(struct isl_basic_map *bmap, int a, int b)
 786 {
 787         isl_int *t = bmap->eq[a];
 788         bmap->eq[a] = bmap->eq[b];
 789         bmap->eq[b] = t;
 790 }
 791
 792 static void swap_inequality(struct isl_basic_map *bmap, int a, int b)
 793 {
 794         isl_int *t = bmap->ineq[a];
 795         bmap->ineq[a] = bmap->ineq[b];
 796         bmap->ineq[b] = t;
 797 }
 798
 799 static void swap_div(struct isl_basic_map *bmap, int a, int b)
 800 {
 801         int i;
 802         unsigned off = bmap->nparam + bmap->n_in + bmap->n_out;
 803         isl_int *t = bmap->div[a];
 804         bmap->div[a] = bmap->div[b];
 805         bmap->div[b] = t;
 806
 807         for (i = 0; i < bmap->n_eq; ++i)
 808                 isl_int_swap(bmap->eq[i][1+off+a], bmap->eq[i][1+off+b]);
 809
 810         for (i = 0; i < bmap->n_ineq; ++i)
 811                 isl_int_swap(bmap->ineq[i][1+off+a], bmap->ineq[i][1+off+b]);
 812
 813         for (i = 0; i < bmap->n_div; ++i)
 814                 isl_int_swap(bmap->div[i][1+1+off+a], bmap->div[i][1+1+off+b]);
 815 }
 816
 817 struct isl_basic_map *isl_basic_map_gauss(
 818         struct isl_basic_map *bmap, int *progress)
 819 {
 820         int k;
 821         int done;
 822         int last_var;
 823         unsigned total_var;
 824         unsigned total;
 825
 826         if (!bmap)
 827                 return NULL;
 828
 829         total_var = bmap->nparam + bmap->n_in + bmap->n_out;
 830         total = total_var + bmap->n_div;
 831
 832         last_var = total - 1;
 833         for (done = 0; done < bmap->n_eq; ++done) {
 834                 for (; last_var >= 0; --last_var) {
 835                         for (k = done; k < bmap->n_eq; ++k)
 836                                 if (!isl_int_is_zero(bmap->eq[k][1+last_var]))
 837                                         break;
 838                         if (k < bmap->n_eq)
 839                                 break;
 840                 }
 841                 if (last_var < 0)
 842                         break;
 843                 if (k != done)
 844                         swap_equality(bmap, k, done);
 845                 if (isl_int_is_neg(bmap->eq[done][1+last_var]))
 846                         isl_seq_neg(bmap->eq[done], bmap->eq[done], 1+total);
 847
 848                 for (k = 0; k < bmap->n_eq; ++k) {
 849                         if (k == done)
 850                                 continue;
 851                         if (isl_int_is_zero(bmap->eq[k][1+last_var]))
 852                                 continue;
 853                         if (progress)
 854                                 *progress = 1;
 855                         isl_seq_elim(bmap->eq[k], bmap->eq[done],
 856                                         1+last_var, 1+total, NULL);
 857                 }
 858
 859                 for (k = 0; k < bmap->n_ineq; ++k) {
 860                         if (isl_int_is_zero(bmap->ineq[k][1+last_var]))
 861                                 continue;
 862                         if (progress)
 863                                 *progress = 1;
 864                         isl_seq_elim(bmap->ineq[k], bmap->eq[done],
 865                                         1+last_var, 1+total, NULL);
 866                 }
 867
 868                 for (k = 0; k < bmap->n_div; ++k) {
 869                         if (isl_int_is_zero(bmap->div[k][0]))
 870                                 continue;
 871                         if (isl_int_is_zero(bmap->div[k][1+1+last_var]))
 872                                 continue;
 873                         if (progress)
 874                                 *progress = 1;
 875                         isl_seq_elim(bmap->div[k]+1, bmap->eq[done],
 876                                         1+last_var, 1+total, &bmap->div[k][0]);
 877                 }
 878
 879                 if (last_var >= total_var &&
 880                     isl_int_is_zero(bmap->div[last_var - total_var][0])) {
 881                         unsigned div = last_var - total_var;
 882                         isl_seq_neg(bmap->div[div]+1, bmap->eq[done], 1+total);
 883                         isl_int_set_si(bmap->div[div][1+1+last_var], 0);
 884                         isl_int_set(bmap->div[div][0],
 885                                     bmap->eq[done][1+last_var]);
 886                 }
 887         }
 888         if (done == bmap->n_eq)
 889                 return bmap;
 890         for (k = done; k < bmap->n_eq; ++k) {
 891                 if (isl_int_is_zero(bmap->eq[k][0]))
 892                         continue;
 893                 return isl_basic_map_set_to_empty(bmap);
 894         }
 895         isl_basic_map_free_equality(bmap, bmap->n_eq-done);
 896         return bmap;
 897 }
 898
 899 struct isl_basic_set *isl_basic_set_gauss(
 900         struct isl_basic_set *bset, int *progress)
 901 {
 902         return (struct isl_basic_set*)isl_basic_map_gauss(
 903                         (struct isl_basic_map *)bset, progress);
 904 }
 905
 906 static unsigned int round_up(unsigned int v)
 907 {
 908         int old_v = v;
 909
 910         while (v) {
 911                 old_v = v;
 912                 v ^= v & -v;
 913         }
 914         return old_v << 1;
 915 }
 916
 917 static int hash_index(int *index, unsigned int size, int bits,
 918                         struct isl_basic_map *bmap, int k)
 919 {
 920         int h;
 921         unsigned total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
 922         u_int32_t hash = isl_seq_hash(bmap->ineq[k]+1, total, bits);
 923         for (h = hash; index[h]; h = (h+1) % size)
 924                 if (k != index[h]-1 &&
 925                     isl_seq_eq(bmap->ineq[k]+1,
 926                                bmap->ineq[index[h]-1]+1, total))
 927                         break;
 928         return h;
 929 }
 930
 931 static struct isl_basic_map *remove_duplicate_constraints(
 932         struct isl_basic_map *bmap, int *progress)
 933 {
 934         unsigned int size;
 935         int *index;
 936         int k, l, h;
 937         int bits;
 938         unsigned total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
 939         isl_int sum;
 940
 941         if (bmap->n_ineq <= 1)
 942                 return bmap;
 943
 944         size = round_up(4 * (bmap->n_ineq+1) / 3 - 1);
 945         bits = ffs(size) - 1;
 946         index = isl_alloc_array(ctx, int, size);
 947         memset(index, 0, size * sizeof(int));
 948         if (!index)
 949                 return bmap;
 950
 951         index[isl_seq_hash(bmap->ineq[0]+1, total, bits)] = 1;
 952         for (k = 1; k < bmap->n_ineq; ++k) {
 953                 h = hash_index(index, size, bits, bmap, k);
 954                 if (!index[h]) {
 955                         index[h] = k+1;
 956                         continue;
 957                 }
 958                 *progress = 1;
 959                 l = index[h] - 1;
 960                 if (isl_int_lt(bmap->ineq[k][0], bmap->ineq[l][0]))
 961                         swap_inequality(bmap, k, l);
 962                 isl_basic_map_drop_inequality(bmap, k);
 963                 --k;
 964         }
 965         isl_int_init(sum);
 966         for (k = 0; k < bmap->n_ineq-1; ++k) {
 967                 isl_seq_neg(bmap->ineq[k]+1, bmap->ineq[k]+1, total);
 968                 h = hash_index(index, size, bits, bmap, k);
 969                 isl_seq_neg(bmap->ineq[k]+1, bmap->ineq[k]+1, total);
 970                 if (!index[h])
 971                         continue;
 972                 l = index[h] - 1;
 973                 isl_int_add(sum, bmap->ineq[k][0], bmap->ineq[l][0]);
 974                 if (isl_int_is_pos(sum))
 975                         continue;
 976                 if (isl_int_is_zero(sum)) {
 977                         /* We need to break out of the loop after these
 978                          * changes since the contents of the hash
 979                          * will no longer be valid.
 980                          * Plus, we probably we want to regauss first.
 981                          */
 982                         isl_basic_map_drop_inequality(bmap, l);
 983                         isl_basic_map_inequality_to_equality(bmap, k);
 984                 } else
 985                         bmap = isl_basic_map_set_to_empty(bmap);
 986                 break;
 987         }
 988         isl_int_clear(sum);
 989
 990         free(index);
 991         return bmap;
 992 }
 993
 994 static struct isl_basic_map *remove_duplicate_divs(
 995         struct isl_basic_map *bmap, int *progress)
 996 {
 997         unsigned int size;
 998         int *index;
 999         int k, l, h;
1000         int bits;
1001         struct isl_blk eq;
1002         unsigned total_var = bmap->nparam + bmap->n_in + bmap->n_out;
1003         unsigned total = total_var + bmap->n_div;
1004         struct isl_ctx *ctx;
1005
1006         if (bmap->n_div <= 1)
1007                 return bmap;
1008
1009         ctx = bmap->ctx;
1010         for (k = bmap->n_div - 1; k >= 0; --k)
1011                 if (!isl_int_is_zero(bmap->div[k][0]))
1012                         break;
1013         if (k <= 0)
1014                 return bmap;
1015
1016         size = round_up(4 * bmap->n_div / 3 - 1);
1017         bits = ffs(size) - 1;
1018         index = isl_alloc_array(ctx, int, size);
1019         memset(index, 0, size * sizeof(int));
1020         if (!index)
1021                 return bmap;
1022         eq = isl_blk_alloc(ctx, 1+total);
1023         if (isl_blk_is_error(eq))
1024                 goto out;
1025
1026         isl_seq_clr(eq.data, 1+total);
1027         index[isl_seq_hash(bmap->div[k], 2+total, bits)] = k + 1;
1028         for (--k; k >= 0; --k) {
1029                 u_int32_t hash;
1030
1031                 if (isl_int_is_zero(bmap->div[k][0]))
1032                         continue;
1033
1034                 hash = isl_seq_hash(bmap->div[k], 2+total, bits);
1035                 for (h = hash; index[h]; h = (h+1) % size)
1036                         if (isl_seq_eq(bmap->div[k],
1037                                        bmap->div[index[h]-1], 2+total))
1038                                 break;
1039                 if (index[h]) {
1040                         *progress = 1;
1041                         l = index[h] - 1;
1042                         isl_int_set_si(eq.data[1+total_var+k], -1);
1043                         isl_int_set_si(eq.data[1+total_var+l], 1);
1044                         eliminate_div(bmap, eq.data, l);
1045                         isl_int_set_si(eq.data[1+total_var+k], 0);
1046                         isl_int_set_si(eq.data[1+total_var+l], 0);
1047                 }
1048                 index[h] = k+1;
1049         }
1050
1051         isl_blk_free(ctx, eq);
1052 out:
1053         free(index);
1054         return bmap;
1055 }
1056
1057 /* Elimininate divs based on equalities
1058  */
1059 static struct isl_basic_map *eliminate_divs_eq(
1060                 struct isl_basic_map *bmap, int *progress)
1061 {
1062         int d;
1063         int i;
1064         int modified = 0;
1065         unsigned off;
1066
1067         if (!bmap)
1068                 return NULL;
1069
1070         off = 1 + bmap->nparam + bmap->n_in + bmap->n_out;
1071
1072         for (d = bmap->n_div - 1; d >= 0 ; --d) {
1073                 for (i = 0; i < bmap->n_eq; ++i) {
1074                         if (!isl_int_is_one(bmap->eq[i][off + d]) &&
1075                             !isl_int_is_negone(bmap->eq[i][off + d]))
1076                                 continue;
1077                         modified = 1;
1078                         *progress = 1;
1079                         eliminate_div(bmap, bmap->eq[i], d);
1080                         isl_basic_map_drop_equality(bmap, i);
1081                         break;
1082                 }
1083         }
1084         if (modified)
1085                 return eliminate_divs_eq(bmap, progress);
1086         return bmap;
1087 }
1088
1089 static struct isl_basic_map *normalize_constraints(struct isl_basic_map *bmap)
1090 {
1091         int i;
1092         isl_int gcd;
1093         unsigned total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
1094
1095         isl_int_init(gcd);
1096         for (i = bmap->n_eq - 1; i >= 0; --i) {
1097                 isl_seq_gcd(bmap->eq[i]+1, total, &gcd);
1098                 if (isl_int_is_zero(gcd)) {
1099                         if (!isl_int_is_zero(bmap->eq[i][0])) {
1100                                 bmap = isl_basic_map_set_to_empty(bmap);
1101                                 break;
1102                         }
1103                         isl_basic_map_drop_equality(bmap, i);
1104                         continue;
1105                 }
1106                 if (F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL))
1107                         isl_int_gcd(gcd, gcd, bmap->eq[i][0]);
1108                 if (isl_int_is_one(gcd))
1109                         continue;
1110                 if (!isl_int_is_divisible_by(bmap->eq[i][0], gcd)) {
1111                         bmap = isl_basic_map_set_to_empty(bmap);
1112                         break;
1113                 }
1114                 isl_seq_scale_down(bmap->eq[i], bmap->eq[i], gcd, 1+total);
1115         }
1116
1117         for (i = bmap->n_ineq - 1; i >= 0; --i) {
1118                 isl_seq_gcd(bmap->ineq[i]+1, total, &gcd);
1119                 if (isl_int_is_zero(gcd)) {
1120                         if (isl_int_is_neg(bmap->ineq[i][0])) {
1121                                 bmap = isl_basic_map_set_to_empty(bmap);
1122                                 break;
1123                         }
1124                         isl_basic_map_drop_inequality(bmap, i);
1125                         continue;
1126                 }
1127                 if (F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL))
1128                         isl_int_gcd(gcd, gcd, bmap->ineq[i][0]);
1129                 if (isl_int_is_one(gcd))
1130                         continue;
1131                 isl_int_fdiv_q(bmap->ineq[i][0], bmap->ineq[i][0], gcd);
1132                 isl_seq_scale_down(bmap->ineq[i]+1, bmap->ineq[i]+1, gcd, total);
1133         }
1134         isl_int_clear(gcd);
1135
1136         return bmap;
1137 }
1138
1139
1140 /* Eliminate the specified variables from the constraints using
1141  * Fourier-Motzkin.  The variables themselves are not removed.
1142  */
1143 struct isl_basic_map *isl_basic_map_eliminate_vars(
1144         struct isl_basic_map *bmap, int pos, unsigned n)
1145 {
1146         int d;
1147         int i, j, k;
1148         unsigned total;
1149         unsigned extra;
1150
1151         if (!bmap)
1152                 return NULL;
1153         total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
1154         extra = bmap->extra - bmap->n_div;
1155
1156         bmap = isl_basic_map_cow(bmap);
1157         bmap = isl_basic_map_gauss(bmap, NULL);
1158         for (d = pos + n - 1; d >= pos; --d) {
1159                 int n_lower, n_upper;
1160                 if (!bmap)
1161                         return NULL;
1162                 for (i = 0; i < bmap->n_eq; ++i) {
1163                         if (isl_int_is_zero(bmap->eq[i][1+d]))
1164                                 continue;
1165                         isl_basic_map_drop_equality(bmap, i);
1166                         break;
1167                 }
1168                 if (i < bmap->n_eq)
1169                         continue;
1170                 n_lower = 0;
1171                 n_upper = 0;
1172                 for (i = 0; i < bmap->n_ineq; ++i) {
1173                         if (isl_int_is_pos(bmap->ineq[i][1+d]))
1174                                 n_lower++;
1175                         else if (isl_int_is_neg(bmap->ineq[i][1+d]))
1176                                 n_upper++;
1177                 }
1178                 bmap = isl_basic_map_extend(bmap,
1179                                 bmap->nparam, bmap->n_in, bmap->n_out, 0,
1180                                 0, n_lower * n_upper);
1181                 for (i = bmap->n_ineq - 1; i >= 0; --i) {
1182                         int last;
1183                         if (isl_int_is_zero(bmap->ineq[i][1+d]))
1184                                 continue;
1185                         last = -1;
1186                         for (j = 0; j < i; ++j) {
1187                                 if (isl_int_is_zero(bmap->ineq[j][1+d]))
1188                                         continue;
1189                                 last = j;
1190                                 if (isl_int_sgn(bmap->ineq[i][1+d]) ==
1191                                     isl_int_sgn(bmap->ineq[j][1+d]))
1192                                         continue;
1193                                 k = isl_basic_map_alloc_inequality(bmap);
1194                                 if (k < 0)
1195                                         goto error;
1196                                 isl_seq_cpy(bmap->ineq[k], bmap->ineq[i],
1197                                                 1+total);
1198                                 isl_seq_clr(bmap->ineq[k]+1+total, extra);
1199                                 isl_seq_elim(bmap->ineq[k], bmap->ineq[j],
1200                                                 1+d, 1+total, NULL);
1201                         }
1202                         isl_basic_map_drop_inequality(bmap, i);
1203                         i = last + 1;
1204                 }
1205                 if (n_lower > 0 && n_upper > 0) {
1206                         bmap = normalize_constraints(bmap);
1207                         bmap = isl_basic_map_gauss(bmap, NULL);
1208                         if (F_ISSET(bmap, ISL_BASIC_MAP_EMPTY))
1209                                 break;
1210                 }
1211         }
1212         return bmap;
1213 error:
1214         isl_basic_map_free(bmap);
1215         return NULL;
1216 }
1217
1218 struct isl_basic_set *isl_basic_set_eliminate_vars(
1219         struct isl_basic_set *bset, unsigned pos, unsigned n)
1220 {
1221         return (struct isl_basic_set *)isl_basic_map_eliminate_vars(
1222                         (struct isl_basic_map *)bset, pos, n);
1223 }
1224
1225 /* Elimininate divs based on inequalities
1226  */
1227 static struct isl_basic_map *eliminate_divs_ineq(
1228                 struct isl_basic_map *bmap, int *progress)
1229 {
1230         int d;
1231         int i;
1232         unsigned off;
1233         struct isl_ctx *ctx;
1234
1235         if (!bmap)
1236                 return NULL;
1237
1238         ctx = bmap->ctx;
1239         off = 1 + bmap->nparam + bmap->n_in + bmap->n_out;
1240
1241         for (d = bmap->n_div - 1; d >= 0 ; --d) {
1242                 for (i = 0; i < bmap->n_eq; ++i)
1243                         if (!isl_int_is_zero(bmap->eq[i][off + d]))
1244                                 break;
1245                 if (i < bmap->n_eq)
1246                         continue;
1247                 for (i = 0; i < bmap->n_ineq; ++i)
1248                         if (isl_int_abs_gt(bmap->ineq[i][off + d], ctx->one))
1249                                 break;
1250                 if (i < bmap->n_ineq)
1251                         continue;
1252                 *progress = 1;
1253                 bmap = isl_basic_map_eliminate_vars(bmap, (off-1)+d, 1);
1254                 if (F_ISSET(bmap, ISL_BASIC_MAP_EMPTY))
1255                         break;
1256                 bmap = isl_basic_map_drop_div(bmap, d);
1257                 if (!bmap)
1258                         break;
1259         }
1260         return bmap;
1261 }
1262
1263 struct isl_basic_map *isl_basic_map_simplify(struct isl_basic_map *bmap)
1264 {
1265         int progress = 1;
1266         if (!bmap)
1267                 return NULL;
1268         while (progress) {
1269                 progress = 0;
1270                 bmap = normalize_constraints(bmap);
1271                 bmap = eliminate_divs_eq(bmap, &progress);
1272                 bmap = eliminate_divs_ineq(bmap, &progress);
1273                 bmap = isl_basic_map_gauss(bmap, &progress);
1274                 bmap = remove_duplicate_divs(bmap, &progress);
1275                 bmap = remove_duplicate_constraints(bmap, &progress);
1276         }
1277         return bmap;
1278 }
1279
1280 struct isl_basic_set *isl_basic_set_simplify(struct isl_basic_set *bset)
1281 {
1282         return (struct isl_basic_set *)
1283                 isl_basic_map_simplify((struct isl_basic_map *)bset);
1284 }
1285
1286 static void dump_term(struct isl_basic_map *bmap,
1287                         isl_int c, int pos, FILE *out)
1288 {
1289         unsigned in = bmap->n_in;
1290         unsigned dim = bmap->n_in + bmap->n_out;
1291         if (!pos)
1292                 isl_int_print(out, c);
1293         else {
1294                 if (!isl_int_is_one(c))
1295                         isl_int_print(out, c);
1296                 if (pos < 1 + bmap->nparam)
1297                         fprintf(out, "p%d", pos - 1);
1298                 else if (pos < 1 + bmap->nparam + in)
1299                         fprintf(out, "i%d", pos - 1 - bmap->nparam);
1300                 else if (pos < 1 + bmap->nparam + dim)
1301                         fprintf(out, "o%d", pos - 1 - bmap->nparam - in);
1302                 else
1303                         fprintf(out, "e%d", pos - 1 - bmap->nparam - dim);
1304         }
1305 }
1306
1307 static void dump_constraint_sign(struct isl_basic_map *bmap, isl_int *c,
1308                                 int sign, FILE *out)
1309 {
1310         int i;
1311         int first;
1312         unsigned len = 1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
1313         isl_int v;
1314
1315         isl_int_init(v);
1316         for (i = 0, first = 1; i < len; ++i) {
1317                 if (isl_int_sgn(c[i]) * sign <= 0)
1318                         continue;
1319                 if (!first)
1320                         fprintf(out, " + ");
1321                 first = 0;
1322                 isl_int_abs(v, c[i]);
1323                 dump_term(bmap, v, i, out);
1324         }
1325         isl_int_clear(v);
1326         if (first)
1327                 fprintf(out, "0");
1328 }
1329
1330 static void dump_constraint(struct isl_basic_map *bmap, isl_int *c,
1331                                 const char *op, FILE *out, int indent)
1332 {
1333         int i;
1334
1335         fprintf(out, "%*s", indent, "");
1336
1337         dump_constraint_sign(bmap, c, 1, out);
1338         fprintf(out, " %s ", op);
1339         dump_constraint_sign(bmap, c, -1, out);
1340
1341         fprintf(out, "\n");
1342
1343         for (i = bmap->n_div; i < bmap->extra; ++i) {
1344                 if (isl_int_is_zero(c[1+bmap->nparam+bmap->n_in+bmap->n_out+i]))
1345                         continue;
1346                 fprintf(out, "%*s", indent, "");
1347                 fprintf(out, "ERROR: unused div coefficient not zero\n");
1348         }
1349 }
1350
1351 static void dump_constraints(struct isl_basic_map *bmap,
1352                                 isl_int **c, unsigned n,
1353                                 const char *op, FILE *out, int indent)
1354 {
1355         int i;
1356
1357         for (i = 0; i < n; ++i)
1358                 dump_constraint(bmap, c[i], op, out, indent);
1359 }
1360
1361 static void dump_affine(struct isl_basic_map *bmap, isl_int *exp, FILE *out)
1362 {
1363         int j;
1364         int first = 1;
1365         unsigned total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
1366
1367         for (j = 0; j < 1 + total; ++j) {
1368                 if (isl_int_is_zero(exp[j]))
1369                         continue;
1370                 if (!first && isl_int_is_pos(exp[j]))
1371                         fprintf(out, "+");
1372                 dump_term(bmap, exp[j], j, out);
1373                 first = 0;
1374         }
1375 }
1376
1377 static void dump(struct isl_basic_map *bmap, FILE *out, int indent)
1378 {
1379         int i;
1380
1381         dump_constraints(bmap, bmap->eq, bmap->n_eq, "=", out, indent);
1382         dump_constraints(bmap, bmap->ineq, bmap->n_ineq, ">=", out, indent);
1383
1384         for (i = 0; i < bmap->n_div; ++i) {
1385                 fprintf(out, "%*s", indent, "");
1386                 fprintf(out, "e%d = [(", i);
1387                 dump_affine(bmap, bmap->div[i]+1, out);
1388                 fprintf(out, ")/");
1389                 isl_int_print(out, bmap->div[i][0]);
1390                 fprintf(out, "]\n");
1391         }
1392 }
1393
1394 void isl_basic_set_dump(struct isl_basic_set *bset, FILE *out, int indent)
1395 {
1396         if (!bset) {
1397                 fprintf(out, "null basic set\n");
1398                 return;
1399         }
1400
1401         fprintf(out, "%*s", indent, "");
1402         fprintf(out, "nparam: %d, dim: %d, extra: %d\n",
1403                         bset->nparam, bset->dim, bset->extra);
1404         dump((struct isl_basic_map *)bset, out, indent);
1405 }
1406
1407 void isl_basic_map_dump(struct isl_basic_map *bmap, FILE *out, int indent)
1408 {
1409         if (!bmap) {
1410                 fprintf(out, "null basic map\n");
1411                 return;
1412         }
1413
1414         fprintf(out, "%*s", indent, "");
1415         fprintf(out, "ref: %d, nparam: %d, in: %d, out: %d, extra: %d, flags: %x\n",
1416                 bmap->ref,
1417                 bmap->nparam, bmap->n_in, bmap->n_out, bmap->extra, bmap->flags);
1418         dump(bmap, out, indent);
1419 }
1420
1421 int isl_inequality_negate(struct isl_basic_map *bmap, unsigned pos)
1422 {
1423         unsigned total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
1424         if (!bmap)
1425                 return -1;
1426         isl_assert(bmap->ctx, pos < bmap->n_ineq, return -1);
1427         isl_seq_neg(bmap->ineq[pos], bmap->ineq[pos], 1 + total);
1428         isl_int_sub_ui(bmap->ineq[pos][0], bmap->ineq[pos][0], 1);
1429         return 0;
1430 }
1431
1432 struct isl_set *isl_set_alloc(struct isl_ctx *ctx,
1433                 unsigned nparam, unsigned dim, int n, unsigned flags)
1434 {
1435         struct isl_set *set;
1436
1437         isl_assert(ctx, n >= 0, return NULL);
1438         set = isl_alloc(ctx, struct isl_set,
1439                         sizeof(struct isl_set) +
1440                         n * sizeof(struct isl_basic_set *));
1441         if (!set)
1442                 return NULL;
1443
1444         set->ctx = ctx;
1445         isl_ctx_ref(ctx);
1446         set->ref = 1;
1447         set->size = n;
1448         set->n = 0;
1449         set->nparam = nparam;
1450         set->zero = 0;
1451         set->dim = dim;
1452         set->flags = flags;
1453         return set;
1454 }
1455
1456 struct isl_set *isl_set_dup(struct isl_set *set)
1457 {
1458         int i;
1459         struct isl_set *dup;
1460
1461         if (!set)
1462                 return NULL;
1463
1464         dup = isl_set_alloc(set->ctx, set->nparam, set->dim, set->n, set->flags);
1465         if (!dup)
1466                 return NULL;
1467         for (i = 0; i < set->n; ++i)
1468                 dup = isl_set_add(dup,
1469                                   isl_basic_set_dup(set->p[i]));
1470         return dup;
1471 }
1472
1473 struct isl_set *isl_set_from_basic_set(struct isl_basic_set *bset)
1474 {
1475         struct isl_set *set;
1476
1477         if (!bset)
1478                 return NULL;
1479
1480         set = isl_set_alloc(bset->ctx, bset->nparam, bset->dim, 1, ISL_MAP_DISJOINT);
1481         if (!set) {
1482                 isl_basic_set_free(bset);
1483                 return NULL;
1484         }
1485         return isl_set_add(set, bset);
1486 }
1487
1488 struct isl_map *isl_map_from_basic_map(struct isl_basic_map *bmap)
1489 {
1490         struct isl_map *map;
1491
1492         if (!bmap)
1493                 return NULL;
1494
1495         map = isl_map_alloc(bmap->ctx, bmap->nparam, bmap->n_in, bmap->n_out, 1,
1496                                 ISL_MAP_DISJOINT);
1497         if (!map) {
1498                 isl_basic_map_free(bmap);
1499                 return NULL;
1500         }
1501         return isl_map_add(map, bmap);
1502 }
1503
1504 struct isl_set *isl_set_add(struct isl_set *set, struct isl_basic_set *bset)
1505 {
1506         if (!bset || !set)
1507                 goto error;
1508         isl_assert(set->ctx, set->nparam == bset->nparam, goto error);
1509         isl_assert(set->ctx, set->dim == bset->dim, goto error);
1510         isl_assert(set->ctx, set->n < set->size, goto error);
1511         set->p[set->n] = bset;
1512         set->n++;
1513         return set;
1514 error:
1515         if (set)
1516                 isl_set_free(set);
1517         if (bset)
1518                 isl_basic_set_free(bset);
1519         return NULL;
1520 }
1521
1522 void isl_set_free(struct isl_set *set)
1523 {
1524         int i;
1525
1526         if (!set)
1527                 return;
1528
1529         if (--set->ref > 0)
1530                 return;
1531
1532         isl_ctx_deref(set->ctx);
1533         for (i = 0; i < set->n; ++i)
1534                 isl_basic_set_free(set->p[i]);
1535         free(set);
1536 }
1537
1538 void isl_set_dump(struct isl_set *set, FILE *out, int indent)
1539 {
1540         int i;
1541
1542         if (!set) {
1543                 fprintf(out, "null set\n");
1544                 return;
1545         }
1546
1547         fprintf(out, "%*s", indent, "");
1548         fprintf(out, "ref: %d, n: %d\n", set->ref, set->n);
1549         for (i = 0; i < set->n; ++i) {
1550                 fprintf(out, "%*s", indent, "");
1551                 fprintf(out, "basic set %d:\n", i);
1552                 isl_basic_set_dump(set->p[i], out, indent+4);
1553         }
1554 }
1555
1556 void isl_map_dump(struct isl_map *map, FILE *out, int indent)
1557 {
1558         int i;
1559
1560         if (!map) {
1561                 fprintf(out, "null map\n");
1562                 return;
1563         }
1564
1565         fprintf(out, "%*s", indent, "");
1566         fprintf(out, "ref: %d, n: %d, nparam: %d, in: %d, out: %d, flags: %x\n",
1567                         map->ref, map->n, map->nparam, map->n_in, map->n_out,
1568                         map->flags);
1569         for (i = 0; i < map->n; ++i) {
1570                 fprintf(out, "%*s", indent, "");
1571                 fprintf(out, "basic map %d:\n", i);
1572                 isl_basic_map_dump(map->p[i], out, indent+4);
1573         }
1574 }
1575
1576 struct isl_basic_map *isl_basic_map_intersect_domain(
1577                 struct isl_basic_map *bmap, struct isl_basic_set *bset)
1578 {
1579         struct isl_basic_map *bmap_domain;
1580
1581         if (!bmap || !bset)
1582                 goto error;
1583
1584         isl_assert(bset->ctx, bset->dim == bmap->n_in, goto error);
1585         isl_assert(bset->ctx, bset->nparam == bmap->nparam, goto error);
1586
1587         bmap = isl_basic_map_extend(bmap,
1588                         bset->nparam, bmap->n_in, bmap->n_out,
1589                         bset->n_div, bset->n_eq, bset->n_ineq);
1590         if (!bmap)
1591                 goto error;
1592         bmap_domain = isl_basic_map_from_basic_set(bset,
1593                                                 bset->dim, 0);
1594         bmap = add_constraints(bmap, bmap_domain, 0, 0);
1595
1596         bmap = isl_basic_map_simplify(bmap);
1597         return isl_basic_map_finalize(bmap);
1598 error:
1599         isl_basic_map_free(bmap);
1600         isl_basic_set_free(bset);
1601         return NULL;
1602 }
1603
1604 struct isl_basic_map *isl_basic_map_intersect_range(
1605                 struct isl_basic_map *bmap, struct isl_basic_set *bset)
1606 {
1607         struct isl_basic_map *bmap_range;
1608
1609         if (!bmap || !bset)
1610                 goto error;
1611
1612         isl_assert(bset->ctx, bset->dim == bmap->n_out, goto error);
1613         isl_assert(bset->ctx, bset->nparam == bmap->nparam, goto error);
1614
1615         bmap = isl_basic_map_extend(bmap,
1616                         bset->nparam, bmap->n_in, bmap->n_out,
1617                         bset->n_div, bset->n_eq, bset->n_ineq);
1618         if (!bmap)
1619                 goto error;
1620         bmap_range = isl_basic_map_from_basic_set(bset,
1621                                                 0, bset->dim);
1622         bmap = add_constraints(bmap, bmap_range, 0, 0);
1623
1624         bmap = isl_basic_map_simplify(bmap);
1625         return isl_basic_map_finalize(bmap);
1626 error:
1627         isl_basic_map_free(bmap);
1628         isl_basic_set_free(bset);
1629         return NULL;
1630 }
1631
1632 struct isl_basic_map *isl_basic_map_intersect(
1633                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
1634 {
1635         if (!bmap1 || !bmap2)
1636                 goto error;
1637
1638         isl_assert(bmap1->ctx, bmap1->nparam == bmap2->nparam, goto error);
1639         isl_assert(bmap1->ctx, bmap1->n_in == bmap2->n_in, goto error);
1640         isl_assert(bmap1->ctx, bmap1->n_out == bmap2->n_out, goto error);
1641
1642         bmap1 = isl_basic_map_extend(bmap1,
1643                         bmap1->nparam, bmap1->n_in, bmap1->n_out,
1644                         bmap2->n_div, bmap2->n_eq, bmap2->n_ineq);
1645         if (!bmap1)
1646                 goto error;
1647         bmap1 = add_constraints(bmap1, bmap2, 0, 0);
1648
1649         bmap1 = isl_basic_map_simplify(bmap1);
1650         return isl_basic_map_finalize(bmap1);
1651 error:
1652         isl_basic_map_free(bmap1);
1653         isl_basic_map_free(bmap2);
1654         return NULL;
1655 }
1656
1657 struct isl_basic_set *isl_basic_set_intersect(
1658                 struct isl_basic_set *bset1, struct isl_basic_set *bset2)
1659 {
1660         return (struct isl_basic_set *)
1661                 isl_basic_map_intersect(
1662                         (struct isl_basic_map *)bset1,
1663                         (struct isl_basic_map *)bset2);
1664 }
1665
1666 struct isl_map *isl_map_intersect(struct isl_map *map1, struct isl_map *map2)
1667 {
1668         unsigned flags = 0;
1669         struct isl_map *result;
1670         int i, j;
1671
1672         if (!map1 || !map2)
1673                 goto error;
1674
1675         if (F_ISSET(map1, ISL_MAP_DISJOINT) &&
1676             F_ISSET(map2, ISL_MAP_DISJOINT))
1677                 FL_SET(flags, ISL_MAP_DISJOINT);
1678
1679         result = isl_map_alloc(map1->ctx, map1->nparam, map1->n_in, map1->n_out,
1680                                 map1->n * map2->n, flags);
1681         if (!result)
1682                 goto error;
1683         for (i = 0; i < map1->n; ++i)
1684                 for (j = 0; j < map2->n; ++j) {
1685                         struct isl_basic_map *part;
1686                         part = isl_basic_map_intersect(
1687                                     isl_basic_map_copy(map1->p[i]),
1688                                     isl_basic_map_copy(map2->p[j]));
1689                         if (isl_basic_map_is_empty(part))
1690                                 isl_basic_map_free(part);
1691                         else
1692                                 result = isl_map_add(result, part);
1693                         if (!result)
1694                                 goto error;
1695                 }
1696         isl_map_free(map1);
1697         isl_map_free(map2);
1698         return result;
1699 error:
1700         isl_map_free(map1);
1701         isl_map_free(map2);
1702         return NULL;
1703 }
1704
1705 struct isl_basic_map *isl_basic_map_reverse(struct isl_basic_map *bmap)
1706 {
1707         struct isl_basic_set *bset;
1708         unsigned in;
1709
1710         if (!bmap)
1711                 return NULL;
1712         bmap = isl_basic_map_cow(bmap);
1713         if (!bmap)
1714                 return NULL;
1715         in = bmap->n_in;
1716         bset = isl_basic_set_from_basic_map(bmap);
1717         bset = isl_basic_set_swap_vars(bset, in);
1718         return isl_basic_map_from_basic_set(bset, bset->dim-in, in);
1719 }
1720
1721 /* Turn final n dimensions into existentially quantified variables.
1722  */
1723 struct isl_basic_set *isl_basic_set_project_out(
1724                 struct isl_basic_set *bset, unsigned n, unsigned flags)
1725 {
1726         int i;
1727         size_t row_size;
1728         isl_int **new_div;
1729         isl_int *old;
1730
1731         if (!bset)
1732                 return NULL;
1733
1734         isl_assert(bset->ctx, n <= bset->dim, goto error);
1735
1736         if (n == 0)
1737                 return bset;
1738
1739         bset = isl_basic_set_cow(bset);
1740
1741         row_size = 1 + bset->nparam + bset->dim + bset->extra;
1742         old = bset->block2.data;
1743         bset->block2 = isl_blk_extend(bset->ctx, bset->block2,
1744                                         (bset->extra + n) * (1 + row_size));
1745         if (!bset->block2.data)
1746                 goto error;
1747         new_div = isl_alloc_array(ctx, isl_int *, bset->extra + n);
1748         if (!new_div)
1749                 goto error;
1750         for (i = 0; i < n; ++i) {
1751                 new_div[i] = bset->block2.data +
1752                                 (bset->extra + i) * (1 + row_size);
1753                 isl_seq_clr(new_div[i], 1 + row_size);
1754         }
1755         for (i = 0; i < bset->extra; ++i)
1756                 new_div[n + i] = bset->block2.data + (bset->div[i] - old);
1757         free(bset->div);
1758         bset->div = new_div;
1759         bset->n_div += n;
1760         bset->extra += n;
1761         bset->dim -= n;
1762         bset = isl_basic_set_simplify(bset);
1763         return isl_basic_set_finalize(bset);
1764 error:
1765         isl_basic_set_free(bset);
1766         return NULL;
1767 }
1768
1769 struct isl_basic_map *isl_basic_map_apply_range(
1770                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
1771 {
1772         struct isl_basic_set *bset;
1773         unsigned n_in, n_out;
1774
1775         if (!bmap1 || !bmap2)
1776                 goto error;
1777
1778         isl_assert(bmap->ctx, bmap1->n_out == bmap2->n_in, goto error);
1779         isl_assert(bmap->ctx, bmap1->nparam == bmap2->nparam, goto error);
1780
1781         n_in = bmap1->n_in;
1782         n_out = bmap2->n_out;
1783
1784         bmap2 = isl_basic_map_reverse(bmap2);
1785         if (!bmap2)
1786                 goto error;
1787         bmap1 = isl_basic_map_extend(bmap1, bmap1->nparam,
1788                         bmap1->n_in + bmap2->n_in, bmap1->n_out,
1789                         bmap2->extra, bmap2->n_eq, bmap2->n_ineq);
1790         if (!bmap1)
1791                 goto error;
1792         bmap1 = add_constraints(bmap1, bmap2, bmap1->n_in - bmap2->n_in, 0);
1793         bmap1 = isl_basic_map_simplify(bmap1);
1794         bset = isl_basic_set_from_basic_map(bmap1);
1795         bset = isl_basic_set_project_out(bset,
1796                                                 bset->dim - (n_in + n_out), 0);
1797         return isl_basic_map_from_basic_set(bset, n_in, n_out);
1798 error:
1799         isl_basic_map_free(bmap1);
1800         isl_basic_map_free(bmap2);
1801         return NULL;
1802 }
1803
1804 struct isl_basic_set *isl_basic_set_apply(
1805                 struct isl_basic_set *bset, struct isl_basic_map *bmap)
1806 {
1807         if (!bset || !bmap)
1808                 goto error;
1809
1810         isl_assert(bset->ctx, bset->dim == bmap->n_in, goto error);
1811
1812         return (struct isl_basic_set *)
1813                 isl_basic_map_apply_range((struct isl_basic_map *)bset, bmap);
1814 error:
1815         isl_basic_set_free(bset);
1816         isl_basic_map_free(bmap);
1817         return NULL;
1818 }
1819
1820 struct isl_basic_map *isl_basic_map_apply_domain(
1821                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
1822 {
1823         if (!bmap1 || !bmap2)
1824                 goto error;
1825
1826         isl_assert(ctx, bmap1->n_in == bmap2->n_in, goto error);
1827         isl_assert(ctx, bmap1->nparam == bmap2->nparam, goto error);
1828
1829         bmap1 = isl_basic_map_reverse(bmap1);
1830         bmap1 = isl_basic_map_apply_range(bmap1, bmap2);
1831         return isl_basic_map_reverse(bmap1);
1832 error:
1833         isl_basic_map_free(bmap1);
1834         isl_basic_map_free(bmap2);
1835         return NULL;
1836 }
1837
1838 static struct isl_basic_map *var_equal(struct isl_ctx *ctx,
1839                 struct isl_basic_map *bmap, unsigned pos)
1840 {
1841         int i;
1842         i = isl_basic_map_alloc_equality(bmap);
1843         if (i < 0)
1844                 goto error;
1845         isl_seq_clr(bmap->eq[i],
1846                     1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->extra);
1847         isl_int_set_si(bmap->eq[i][1+bmap->nparam+pos], -1);
1848         isl_int_set_si(bmap->eq[i][1+bmap->nparam+bmap->n_in+pos], 1);
1849         return isl_basic_map_finalize(bmap);
1850 error:
1851         isl_basic_map_free(bmap);
1852         return NULL;
1853 }
1854
1855 static struct isl_basic_map *var_more(struct isl_ctx *ctx,
1856                 struct isl_basic_map *bmap, unsigned pos)
1857 {
1858         int i;
1859         i = isl_basic_map_alloc_inequality(bmap);
1860         if (i < 0)
1861                 goto error;
1862         isl_seq_clr(bmap->ineq[i],
1863                     1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->extra);
1864         isl_int_set_si(bmap->ineq[i][0], -1);
1865         isl_int_set_si(bmap->ineq[i][1+bmap->nparam+pos], -1);
1866         isl_int_set_si(bmap->ineq[i][1+bmap->nparam+bmap->n_in+pos], 1);
1867         return isl_basic_map_finalize(bmap);
1868 error:
1869         isl_basic_map_free(bmap);
1870         return NULL;
1871 }
1872
1873 static struct isl_basic_map *var_less(struct isl_ctx *ctx,
1874                 struct isl_basic_map *bmap, unsigned pos)
1875 {
1876         int i;
1877         i = isl_basic_map_alloc_inequality(bmap);
1878         if (i < 0)
1879                 goto error;
1880         isl_seq_clr(bmap->ineq[i],
1881                     1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->extra);
1882         isl_int_set_si(bmap->ineq[i][0], -1);
1883         isl_int_set_si(bmap->ineq[i][1+bmap->nparam+pos], 1);
1884         isl_int_set_si(bmap->ineq[i][1+bmap->nparam+bmap->n_in+pos], -1);
1885         return isl_basic_map_finalize(bmap);
1886 error:
1887         isl_basic_map_free(bmap);
1888         return NULL;
1889 }
1890
1891 struct isl_basic_map *isl_basic_map_equal(struct isl_ctx *ctx,
1892                 unsigned nparam, unsigned in, unsigned out, unsigned n_equal)
1893 {
1894         int i;
1895         struct isl_basic_map *bmap;
1896         bmap = isl_basic_map_alloc(ctx, nparam, in, out, 0, n_equal, 0);
1897         if (!bmap)
1898                 return NULL;
1899         for (i = 0; i < n_equal && bmap; ++i)
1900                 bmap = var_equal(ctx, bmap, i);
1901         return isl_basic_map_finalize(bmap);
1902 }
1903
1904 struct isl_basic_map *isl_basic_map_less_at(struct isl_ctx *ctx,
1905                 unsigned nparam, unsigned in, unsigned out, unsigned pos)
1906 {
1907         int i;
1908         struct isl_basic_map *bmap;
1909         bmap = isl_basic_map_alloc(ctx, nparam, in, out, 0, pos, 1);
1910         if (!bmap)
1911                 return NULL;
1912         for (i = 0; i < pos && bmap; ++i)
1913                 bmap = var_equal(ctx, bmap, i);
1914         if (bmap)
1915                 bmap = var_less(ctx, bmap, pos);
1916         return isl_basic_map_finalize(bmap);
1917 }
1918
1919 struct isl_basic_map *isl_basic_map_more_at(struct isl_ctx *ctx,
1920                 unsigned nparam, unsigned in, unsigned out, unsigned pos)
1921 {
1922         int i;
1923         struct isl_basic_map *bmap;
1924         bmap = isl_basic_map_alloc(ctx, nparam, in, out, 0, pos, 1);
1925         if (!bmap)
1926                 return NULL;
1927         for (i = 0; i < pos && bmap; ++i)
1928                 bmap = var_equal(ctx, bmap, i);
1929         if (bmap)
1930                 bmap = var_more(ctx, bmap, pos);
1931         return isl_basic_map_finalize(bmap);
1932 }
1933
1934 struct isl_basic_map *isl_basic_map_from_basic_set(
1935                 struct isl_basic_set *bset, unsigned n_in, unsigned n_out)
1936 {
1937         struct isl_basic_map *bmap;
1938
1939         bset = isl_basic_set_cow(bset);
1940         if (!bset)
1941                 return NULL;
1942
1943         isl_assert(ctx, bset->dim == n_in + n_out, goto error);
1944         bmap = (struct isl_basic_map *) bset;
1945         bmap->n_in = n_in;
1946         bmap->n_out = n_out;
1947         return isl_basic_map_finalize(bmap);
1948 error:
1949         isl_basic_set_free(bset);
1950         return NULL;
1951 }
1952
1953 struct isl_basic_set *isl_basic_set_from_basic_map(struct isl_basic_map *bmap)
1954 {
1955         if (!bmap)
1956                 goto error;
1957         if (bmap->n_in == 0)
1958                 return (struct isl_basic_set *)bmap;
1959         bmap = isl_basic_map_cow(bmap);
1960         if (!bmap)
1961                 goto error;
1962         bmap->n_out += bmap->n_in;
1963         bmap->n_in = 0;
1964         bmap = isl_basic_map_finalize(bmap);
1965         return (struct isl_basic_set *)bmap;
1966 error:
1967         return NULL;
1968 }
1969
1970 /* For a div d = floor(f/m), add the constraints
1971  *
1972  *              f - m d >= 0
1973  *              -(f-(n-1)) + m d >= 0
1974  *
1975  * Note that the second constraint is the negation of
1976  *
1977  *              f - m d >= n
1978  */
1979 static int add_div_constraints(struct isl_basic_map *bmap, unsigned div)
1980 {
1981         int i, j;
1982         unsigned div_pos = 1 + bmap->nparam + bmap->n_in + bmap->n_out + div;
1983         unsigned total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->extra;
1984
1985         i = isl_basic_map_alloc_inequality(bmap);
1986         if (i < 0)
1987                 return -1;
1988         isl_seq_cpy(bmap->ineq[i], bmap->div[div]+1, 1+total);
1989         isl_int_neg(bmap->ineq[i][div_pos], bmap->div[div][0]);
1990
1991         j = isl_basic_map_alloc_inequality(bmap);
1992         if (j < 0)
1993                 return -1;
1994         isl_seq_neg(bmap->ineq[j], bmap->ineq[i], 1 + total);
1995         isl_int_add(bmap->ineq[j][0], bmap->ineq[j][0], bmap->ineq[j][div_pos]);
1996         isl_int_sub_ui(bmap->ineq[j][0], bmap->ineq[j][0], 1);
1997         return j;
1998 }
1999
2000 struct isl_basic_set *isl_basic_map_underlying_set(
2001                 struct isl_basic_map *bmap)
2002 {
2003         if (!bmap)
2004                 goto error;
2005         if (bmap->nparam == 0 && bmap->n_in == 0 && bmap->n_div == 0)
2006                 return (struct isl_basic_set *)bmap;
2007         bmap = isl_basic_map_cow(bmap);
2008         if (!bmap)
2009                 goto error;
2010         bmap->n_out += bmap->nparam + bmap->n_in + bmap->n_div;
2011         bmap->nparam = 0;
2012         bmap->n_in = 0;
2013         bmap->extra -= bmap->n_div;
2014         bmap->n_div = 0;
2015         bmap = isl_basic_map_finalize(bmap);
2016         return (struct isl_basic_set *)bmap;
2017 error:
2018         return NULL;
2019 }
2020
2021 struct isl_basic_map *isl_basic_map_overlying_set(
2022         struct isl_basic_set *bset, struct isl_basic_map *like)
2023 {
2024         struct isl_basic_map *bmap;
2025         struct isl_ctx *ctx;
2026         unsigned total;
2027         int i, k;
2028
2029         if (!bset || !like)
2030                 goto error;
2031         ctx = bset->ctx;
2032         isl_assert(ctx, bset->dim ==
2033                         like->nparam + like->n_in + like->n_out + like->n_div,
2034                         goto error);
2035         if (like->nparam == 0 && like->n_in == 0 && like->n_div == 0) {
2036                 isl_basic_map_free(like);
2037                 return (struct isl_basic_map *)bset;
2038         }
2039         bset = isl_basic_set_cow(bset);
2040         total = bset->dim + bset->extra;
2041         if (!bset)
2042                 goto error;
2043         bmap = (struct isl_basic_map *)bset;
2044         bmap->nparam = like->nparam;
2045         bmap->n_in = like->n_in;
2046         bmap->n_out = like->n_out;
2047         bmap->extra += like->n_div;
2048         if (bmap->extra) {
2049                 unsigned ltotal;
2050                 ltotal = total - bmap->extra + like->extra;
2051                 if (ltotal > total)
2052                         ltotal = total;
2053                 bmap->block2 = isl_blk_extend(ctx, bmap->block2,
2054                                         bmap->extra * (1 + 1 + total));
2055                 if (isl_blk_is_error(bmap->block2))
2056                         goto error;
2057                 bmap->div = isl_realloc_array(ctx, bmap->div, isl_int *,
2058                                                 bmap->extra);
2059                 if (!bmap->div)
2060                         goto error;
2061                 bmap = isl_basic_map_extend(bmap, bmap->nparam,
2062                         bmap->n_in, bmap->n_out, 0, 0, 2 * like->n_div);
2063                 for (i = 0; i < like->n_div; ++i) {
2064                         k = isl_basic_map_alloc_div(bmap);
2065                         if (k < 0)
2066                                 goto error;
2067                         isl_seq_cpy(bmap->div[k], like->div[i], 1 + 1 + ltotal);
2068                         isl_seq_clr(bmap->div[k]+1+1+ltotal, total - ltotal);
2069                         if (add_div_constraints(bmap, k) < 0)
2070                                 goto error;
2071                 }
2072         }
2073         isl_basic_map_free(like);
2074         bmap = isl_basic_map_finalize(bmap);
2075         return bmap;
2076 error:
2077         isl_basic_map_free(like);
2078         isl_basic_set_free(bset);
2079         return NULL;
2080 }
2081
2082 struct isl_set *isl_map_underlying_set(struct isl_map *map)
2083 {
2084         int i;
2085
2086         map = isl_map_align_divs(map);
2087         map = isl_map_cow(map);
2088         if (!map)
2089                 return NULL;
2090
2091         for (i = 0; i < map->n; ++i) {
2092                 map->p[i] = (struct isl_basic_map *)
2093                                 isl_basic_map_underlying_set(map->p[i]);
2094                 if (!map->p[i])
2095                         goto error;
2096         }
2097         if (map->n == 0)
2098                 map->n_out += map->nparam + map->n_in;
2099         else
2100                 map->n_out = map->p[0]->n_out;
2101         map->nparam = 0;
2102         map->n_in = 0;
2103         return (struct isl_set *)map;
2104 error:
2105         isl_map_free(map);
2106         return NULL;
2107 }
2108
2109 struct isl_basic_set *isl_basic_map_domain(struct isl_basic_map *bmap)
2110 {
2111         struct isl_basic_set *domain;
2112         unsigned n_out;
2113         if (!bmap)
2114                 return NULL;
2115         n_out = bmap->n_out;
2116         domain = isl_basic_set_from_basic_map(bmap);
2117         return isl_basic_set_project_out(domain, n_out, 0);
2118 }
2119
2120 struct isl_basic_set *isl_basic_map_range(struct isl_basic_map *bmap)
2121 {
2122         return isl_basic_map_domain(isl_basic_map_reverse(bmap));
2123 }
2124
2125 struct isl_set *isl_map_range(struct isl_map *map)
2126 {
2127         int i;
2128         struct isl_set *set;
2129
2130         if (!map)
2131                 goto error;
2132         map = isl_map_cow(map);
2133         if (!map)
2134                 goto error;
2135
2136         set = (struct isl_set *) map;
2137         set->zero = 0;
2138         for (i = 0; i < map->n; ++i) {
2139                 set->p[i] = isl_basic_map_range(map->p[i]);
2140                 if (!set->p[i])
2141                         goto error;
2142         }
2143         F_CLR(set, ISL_MAP_DISJOINT);
2144         return set;
2145 error:
2146         isl_map_free(map);
2147         return NULL;
2148 }
2149
2150 struct isl_map *isl_map_from_set(struct isl_set *set,
2151                 unsigned n_in, unsigned n_out)
2152 {
2153         int i;
2154         struct isl_map *map = NULL;
2155
2156         if (!set)
2157                 return NULL;
2158         isl_assert(set->ctx, set->dim == n_in + n_out, goto error);
2159         set = isl_set_cow(set);
2160         if (!set)
2161                 return NULL;
2162         map = (struct isl_map *)set;
2163         for (i = 0; i < set->n; ++i) {
2164                 map->p[i] = isl_basic_map_from_basic_set(
2165                                 set->p[i], n_in, n_out);
2166                 if (!map->p[i])
2167                         goto error;
2168         }
2169         map->n_in = n_in;
2170         map->n_out = n_out;
2171         return map;
2172 error:
2173         isl_set_free(set);
2174         return NULL;
2175 }
2176
2177 struct isl_set *isl_set_from_map(struct isl_map *map)
2178 {
2179         int i;
2180         struct isl_set *set = NULL;
2181
2182         if (!map)
2183                 return NULL;
2184         map = isl_map_cow(map);
2185         if (!map)
2186                 return NULL;
2187         map->n_out += map->n_in;
2188         map->n_in = 0;
2189         set = (struct isl_set *)map;
2190         for (i = 0; i < map->n; ++i) {
2191                 set->p[i] = isl_basic_set_from_basic_map(map->p[i]);
2192                 if (!set->p[i])
2193                         goto error;
2194         }
2195         return set;
2196 error:
2197         isl_map_free(map);
2198         return NULL;
2199 }
2200
2201 struct isl_map *isl_map_alloc(struct isl_ctx *ctx,
2202                 unsigned nparam, unsigned in, unsigned out, int n,
2203                 unsigned flags)
2204 {
2205         struct isl_map *map;
2206
2207         map = isl_alloc(ctx, struct isl_map,
2208                         sizeof(struct isl_map) +
2209                         n * sizeof(struct isl_basic_map *));
2210         if (!map)
2211                 return NULL;
2212
2213         map->ctx = ctx;
2214         isl_ctx_ref(ctx);
2215         map->ref = 1;
2216         map->size = n;
2217         map->n = 0;
2218         map->nparam = nparam;
2219         map->n_in = in;
2220         map->n_out = out;
2221         map->flags = flags;
2222         return map;
2223 }
2224
2225 struct isl_basic_map *isl_basic_map_empty(struct isl_ctx *ctx,
2226                 unsigned nparam, unsigned in, unsigned out)
2227 {
2228         struct isl_basic_map *bmap;
2229         bmap = isl_basic_map_alloc(ctx, nparam, in, out, 0, 1, 0);
2230         bmap = isl_basic_map_set_to_empty(bmap);
2231         return bmap;
2232 }
2233
2234 struct isl_basic_set *isl_basic_set_empty(struct isl_ctx *ctx,
2235                 unsigned nparam, unsigned dim)
2236 {
2237         struct isl_basic_set *bset;
2238         bset = isl_basic_set_alloc(ctx, nparam, dim, 0, 1, 0);
2239         bset = isl_basic_set_set_to_empty(bset);
2240         return bset;
2241 }
2242
2243 struct isl_basic_map *isl_basic_map_universe(struct isl_ctx *ctx,
2244                 unsigned nparam, unsigned in, unsigned out)
2245 {
2246         struct isl_basic_map *bmap;
2247         bmap = isl_basic_map_alloc(ctx, nparam, in, out, 0, 0, 0);
2248         return bmap;
2249 }
2250
2251 struct isl_basic_set *isl_basic_set_universe(struct isl_ctx *ctx,
2252                 unsigned nparam, unsigned dim)
2253 {
2254         struct isl_basic_set *bset;
2255         bset = isl_basic_set_alloc(ctx, nparam, dim, 0, 0, 0);
2256         return bset;
2257 }
2258
2259 struct isl_map *isl_map_empty(struct isl_ctx *ctx,
2260                 unsigned nparam, unsigned in, unsigned out)
2261 {
2262         return isl_map_alloc(ctx, nparam, in, out, 0, ISL_MAP_DISJOINT);
2263 }
2264
2265 struct isl_set *isl_set_empty(struct isl_ctx *ctx,
2266                 unsigned nparam, unsigned dim)
2267 {
2268         return isl_set_alloc(ctx, nparam, dim, 0, ISL_MAP_DISJOINT);
2269 }
2270
2271 struct isl_map *isl_map_dup(struct isl_map *map)
2272 {
2273         int i;
2274         struct isl_map *dup;
2275
2276         if (!map)
2277                 return NULL;
2278         dup = isl_map_alloc(map->ctx, map->nparam, map->n_in, map->n_out, map->n,
2279                                 map->flags);
2280         for (i = 0; i < map->n; ++i)
2281                 dup = isl_map_add(dup,
2282                                   isl_basic_map_dup(map->p[i]));
2283         return dup;
2284 }
2285
2286 struct isl_map *isl_map_add(struct isl_map *map, struct isl_basic_map *bmap)
2287 {
2288         if (!bmap || !map)
2289                 goto error;
2290         isl_assert(map->ctx, map->nparam == bmap->nparam, goto error);
2291         isl_assert(map->ctx, map->n_in == bmap->n_in, goto error);
2292         isl_assert(map->ctx, map->n_out == bmap->n_out, goto error);
2293         isl_assert(map->ctx, map->n < map->size, goto error);
2294         map->p[map->n] = bmap;
2295         map->n++;
2296         return map;
2297 error:
2298         if (map)
2299                 isl_map_free(map);
2300         if (bmap)
2301                 isl_basic_map_free(bmap);
2302         return NULL;
2303 }
2304
2305 void isl_map_free(struct isl_map *map)
2306 {
2307         int i;
2308
2309         if (!map)
2310                 return;
2311
2312         if (--map->ref > 0)
2313                 return;
2314
2315         isl_ctx_deref(map->ctx);
2316         for (i = 0; i < map->n; ++i)
2317                 isl_basic_map_free(map->p[i]);
2318         free(map);
2319 }
2320
2321 struct isl_map *isl_map_extend(struct isl_map *base,
2322                 unsigned nparam, unsigned n_in, unsigned n_out)
2323 {
2324         int i;
2325
2326         base = isl_map_cow(base);
2327         if (!base)
2328                 return NULL;
2329
2330         isl_assert(base->ctx, base->nparam <= nparam, goto error);
2331         isl_assert(base->ctx, base->n_in <= n_in, goto error);
2332         isl_assert(base->ctx, base->n_out <= n_out, goto error);
2333         base->nparam = nparam;
2334         base->n_in = n_in;
2335         base->n_out = n_out;
2336         for (i = 0; i < base->n; ++i) {
2337                 base->p[i] = isl_basic_map_extend(base->p[i],
2338                                 nparam, n_in, n_out, 0, 0, 0);
2339                 if (!base->p[i])
2340                         goto error;
2341         }
2342         return base;
2343 error:
2344         isl_map_free(base);
2345         return NULL;
2346 }
2347
2348 static struct isl_basic_map *isl_basic_map_fix_var(struct isl_basic_map *bmap,
2349                 unsigned var, int value)
2350 {
2351         int j;
2352
2353         bmap = isl_basic_map_cow(bmap);
2354         bmap = isl_basic_map_extend(bmap,
2355                         bmap->nparam, bmap->n_in, bmap->n_out, 0, 1, 0);
2356         j = isl_basic_map_alloc_equality(bmap);
2357         if (j < 0)
2358                 goto error;
2359         isl_seq_clr(bmap->eq[j],
2360                     1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->extra);
2361         isl_int_set_si(bmap->eq[j][1 + var], -1);
2362         isl_int_set_si(bmap->eq[j][0], value);
2363         bmap = isl_basic_map_simplify(bmap);
2364         return isl_basic_map_finalize(bmap);
2365 error:
2366         isl_basic_map_free(bmap);
2367         return NULL;
2368 }
2369
2370 struct isl_basic_map *isl_basic_map_fix_input_si(struct isl_basic_map *bmap,
2371                 unsigned input, int value)
2372 {
2373         if (!bmap)
2374                 return NULL;
2375         isl_assert(bmap->ctx, input < bmap->n_in, goto error);
2376         return isl_basic_map_fix_var(bmap, bmap->nparam + input, value);
2377 error:
2378         isl_basic_map_free(bmap);
2379         return NULL;
2380 }
2381
2382 struct isl_basic_set *isl_basic_set_fix_dim_si(struct isl_basic_set *bset,
2383                 unsigned dim, int value)
2384 {
2385         if (!bset)
2386                 return NULL;
2387         isl_assert(bset->ctx, dim < bset->dim, goto error);
2388         return (struct isl_basic_set *)
2389                 isl_basic_map_fix_var((struct isl_basic_map *)bset,
2390                                                 bset->nparam + dim, value);
2391 error:
2392         isl_basic_set_free(bset);
2393         return NULL;
2394 }
2395
2396 struct isl_map *isl_map_fix_input_si(struct isl_map *map,
2397                 unsigned input, int value)
2398 {
2399         int i;
2400
2401         map = isl_map_cow(map);
2402         if (!map)
2403                 return NULL;
2404
2405         isl_assert(ctx, input < map->n_in, goto error);
2406         for (i = 0; i < map->n; ++i) {
2407                 map->p[i] = isl_basic_map_fix_input_si(map->p[i], input, value);
2408                 if (!map->p[i])
2409                         goto error;
2410         }
2411         return map;
2412 error:
2413         isl_map_free(map);
2414         return NULL;
2415 }
2416
2417 struct isl_set *isl_set_fix_dim_si(struct isl_set *set, unsigned dim, int value)
2418 {
2419         int i;
2420
2421         set = isl_set_cow(set);
2422         if (!set)
2423                 return NULL;
2424
2425         isl_assert(set->ctx, dim < set->dim, goto error);
2426         for (i = 0; i < set->n; ++i) {
2427                 set->p[i] = isl_basic_set_fix_dim_si(set->p[i], dim, value);
2428                 if (!set->p[i])
2429                         goto error;
2430         }
2431         return set;
2432 error:
2433         isl_set_free(set);
2434         return NULL;
2435 }
2436
2437 struct isl_map *isl_map_reverse(struct isl_map *map)
2438 {
2439         int i;
2440         unsigned t;
2441
2442         map = isl_map_cow(map);
2443         if (!map)
2444                 return NULL;
2445
2446         t = map->n_in;
2447         map->n_in = map->n_out;
2448         map->n_out = t;
2449         for (i = 0; i < map->n; ++i) {
2450                 map->p[i] = isl_basic_map_reverse(map->p[i]);
2451                 if (!map->p[i])
2452                         goto error;
2453         }
2454         return map;
2455 error:
2456         isl_map_free(map);
2457         return NULL;
2458 }
2459
2460 struct isl_map *isl_basic_map_lexmax(
2461                 struct isl_basic_map *bmap, struct isl_basic_set *dom,
2462                 struct isl_set **empty)
2463 {
2464         return isl_pip_basic_map_lexmax(bmap, dom, empty);
2465 }
2466
2467 struct isl_map *isl_basic_map_lexmin(
2468                 struct isl_basic_map *bmap, struct isl_basic_set *dom,
2469                 struct isl_set **empty)
2470 {
2471         return isl_pip_basic_map_lexmin(bmap, dom, empty);
2472 }
2473
2474 struct isl_set *isl_basic_set_lexmin(struct isl_basic_set *bset)
2475 {
2476         struct isl_basic_map *bmap = NULL;
2477         struct isl_basic_set *dom = NULL;
2478         struct isl_map *min;
2479
2480         if (!bset)
2481                 goto error;
2482         bmap = isl_basic_map_from_basic_set(bset, 0, bset->dim);
2483         if (!bmap)
2484                 goto error;
2485         dom = isl_basic_set_alloc(bmap->ctx, bmap->nparam, 0, 0, 0, 0);
2486         if (!dom)
2487                 goto error;
2488         min = isl_basic_map_lexmin(bmap, dom, NULL);
2489         return isl_map_range(min);
2490 error:
2491         isl_basic_map_free(bmap);
2492         return NULL;
2493 }
2494
2495 struct isl_map *isl_basic_map_compute_divs(struct isl_basic_map *bmap)
2496 {
2497         if (!bmap)
2498                 return NULL;
2499         if (bmap->n_div == 0)
2500                 return isl_map_from_basic_map(bmap);
2501         return isl_pip_basic_map_compute_divs(bmap);
2502 }
2503
2504 struct isl_map *isl_map_compute_divs(struct isl_map *map)
2505 {
2506         int i;
2507         struct isl_map *res;
2508
2509         if (!map)
2510                 return NULL;
2511         if (map->n == 0)
2512                 return map;
2513         res = isl_basic_map_compute_divs(isl_basic_map_copy(map->p[0]));
2514         for (i = 1 ; i < map->n; ++i) {
2515                 struct isl_map *r2;
2516                 r2 = isl_basic_map_compute_divs(isl_basic_map_copy(map->p[i]));
2517                 if (F_ISSET(map, ISL_MAP_DISJOINT))
2518                         res = isl_map_union_disjoint(res, r2);
2519                 else
2520                         res = isl_map_union(res, r2);
2521         }
2522         isl_map_free(map);
2523
2524         return res;
2525 }
2526
2527 struct isl_set *isl_basic_set_compute_divs(struct isl_basic_set *bset)
2528 {
2529         return (struct isl_set *)
2530                 isl_basic_map_compute_divs((struct isl_basic_map *)bset);
2531 }
2532
2533 struct isl_set *isl_set_compute_divs(struct isl_set *set)
2534 {
2535         return (struct isl_set *)
2536                 isl_map_compute_divs((struct isl_map *)set);
2537 }
2538
2539 struct isl_set *isl_map_domain(struct isl_map *map)
2540 {
2541         int i;
2542         struct isl_set *set;
2543
2544         if (!map)
2545                 goto error;
2546
2547         map = isl_map_cow(map);
2548         if (!map)
2549                 return NULL;
2550
2551         set = (struct isl_set *)map;
2552         set->dim = map->n_in;
2553         set->zero = 0;
2554         for (i = 0; i < map->n; ++i) {
2555                 set->p[i] = isl_basic_map_domain(map->p[i]);
2556                 if (!set->p[i])
2557                         goto error;
2558         }
2559         F_CLR(set, ISL_MAP_DISJOINT);
2560         return set;
2561 error:
2562         isl_map_free(map);
2563         return NULL;
2564 }
2565
2566 struct isl_map *isl_map_union_disjoint(
2567                         struct isl_map *map1, struct isl_map *map2)
2568 {
2569         int i;
2570         unsigned flags = 0;
2571         struct isl_map *map = NULL;
2572
2573         if (!map1 || !map2)
2574                 goto error;
2575
2576         if (map1->n == 0) {
2577                 isl_map_free(map1);
2578                 return map2;
2579         }
2580         if (map2->n == 0) {
2581                 isl_map_free(map2);
2582                 return map1;
2583         }
2584
2585         isl_assert(map1->ctx, map1->nparam == map2->nparam, goto error);
2586         isl_assert(map1->ctx, map1->n_in == map2->n_in, goto error);
2587         isl_assert(map1->ctx, map1->n_out == map2->n_out, goto error);
2588
2589         if (F_ISSET(map1, ISL_MAP_DISJOINT) &&
2590             F_ISSET(map2, ISL_MAP_DISJOINT))
2591                 FL_SET(flags, ISL_MAP_DISJOINT);
2592
2593         map = isl_map_alloc(map1->ctx, map1->nparam, map1->n_in, map1->n_out,
2594                                 map1->n + map2->n, flags);
2595         if (!map)
2596                 goto error;
2597         for (i = 0; i < map1->n; ++i) {
2598                 map = isl_map_add(map,
2599                                   isl_basic_map_copy(map1->p[i]));
2600                 if (!map)
2601                         goto error;
2602         }
2603         for (i = 0; i < map2->n; ++i) {
2604                 map = isl_map_add(map,
2605                                   isl_basic_map_copy(map2->p[i]));
2606                 if (!map)
2607                         goto error;
2608         }
2609         isl_map_free(map1);
2610         isl_map_free(map2);
2611         return map;
2612 error:
2613         isl_map_free(map);
2614         isl_map_free(map1);
2615         isl_map_free(map2);
2616         return NULL;
2617 }
2618
2619 struct isl_map *isl_map_union(struct isl_map *map1, struct isl_map *map2)
2620 {
2621         map1 = isl_map_union_disjoint(map1, map2);
2622         if (!map1)
2623                 return NULL;
2624         if (map1->n > 1)
2625                 F_CLR(map1, ISL_MAP_DISJOINT);
2626         return map1;
2627 }
2628
2629 struct isl_set *isl_set_union_disjoint(
2630                         struct isl_set *set1, struct isl_set *set2)
2631 {
2632         return (struct isl_set *)
2633                 isl_map_union_disjoint(
2634                         (struct isl_map *)set1, (struct isl_map *)set2);
2635 }
2636
2637 struct isl_set *isl_set_union(struct isl_set *set1, struct isl_set *set2)
2638 {
2639         return (struct isl_set *)
2640                 isl_map_union((struct isl_map *)set1, (struct isl_map *)set2);
2641 }
2642
2643 struct isl_map *isl_map_intersect_range(
2644                 struct isl_map *map, struct isl_set *set)
2645 {
2646         unsigned flags = 0;
2647         struct isl_map *result;
2648         int i, j;
2649
2650         if (!map || !set)
2651                 goto error;
2652
2653         if (F_ISSET(map, ISL_MAP_DISJOINT) &&
2654             F_ISSET(set, ISL_MAP_DISJOINT))
2655                 FL_SET(flags, ISL_MAP_DISJOINT);
2656
2657         result = isl_map_alloc(map->ctx, map->nparam, map->n_in, map->n_out,
2658                                 map->n * set->n, flags);
2659         if (!result)
2660                 goto error;
2661         for (i = 0; i < map->n; ++i)
2662                 for (j = 0; j < set->n; ++j) {
2663                         result = isl_map_add(result,
2664                             isl_basic_map_intersect_range(
2665                                 isl_basic_map_copy(map->p[i]),
2666                                 isl_basic_set_copy(set->p[j])));
2667                         if (!result)
2668                                 goto error;
2669                 }
2670         isl_map_free(map);
2671         isl_set_free(set);
2672         return result;
2673 error:
2674         isl_map_free(map);
2675         isl_set_free(set);
2676         return NULL;
2677 }
2678
2679 struct isl_map *isl_map_intersect_domain(
2680                 struct isl_map *map, struct isl_set *set)
2681 {
2682         return isl_map_reverse(
2683                 isl_map_intersect_range(isl_map_reverse(map), set));
2684 }
2685
2686 struct isl_map *isl_map_apply_domain(
2687                 struct isl_map *map1, struct isl_map *map2)
2688 {
2689         if (!map1 || !map2)
2690                 goto error;
2691         map1 = isl_map_reverse(map1);
2692         map1 = isl_map_apply_range(map1, map2);
2693         return isl_map_reverse(map1);
2694 error:
2695         isl_map_free(map1);
2696         isl_map_free(map2);
2697         return NULL;
2698 }
2699
2700 struct isl_map *isl_map_apply_range(
2701                 struct isl_map *map1, struct isl_map *map2)
2702 {
2703         struct isl_map *result;
2704         int i, j;
2705
2706         if (!map1 || !map2)
2707                 goto error;
2708
2709         isl_assert(map1->ctx, map1->nparam == map2->nparam, goto error);
2710         isl_assert(map1->ctx, map1->n_out == map2->n_in, goto error);
2711
2712         result = isl_map_alloc(map1->ctx, map1->nparam, map1->n_in, map2->n_out,
2713                                 map1->n * map2->n, 0);
2714         if (!result)
2715                 goto error;
2716         for (i = 0; i < map1->n; ++i)
2717                 for (j = 0; j < map2->n; ++j) {
2718                         result = isl_map_add(result,
2719                             isl_basic_map_apply_range(
2720                                 isl_basic_map_copy(map1->p[i]),
2721                                 isl_basic_map_copy(map2->p[j])));
2722                         if (!result)
2723                                 goto error;
2724                 }
2725         isl_map_free(map1);
2726         isl_map_free(map2);
2727         if (result && result->n <= 1)
2728                 F_SET(result, ISL_MAP_DISJOINT);
2729         return result;
2730 error:
2731         isl_map_free(map1);
2732         isl_map_free(map2);
2733         return NULL;
2734 }
2735
2736 /*
2737  * returns range - domain
2738  */
2739 struct isl_basic_set *isl_basic_map_deltas(struct isl_basic_map *bmap)
2740 {
2741         struct isl_basic_set *bset;
2742         unsigned dim;
2743         int i;
2744
2745         if (!bmap)
2746                 goto error;
2747         isl_assert(bmap->ctx, bmap->n_in == bmap->n_out, goto error);
2748         dim = bmap->n_in;
2749         bset = isl_basic_set_from_basic_map(bmap);
2750         bset = isl_basic_set_extend(bset, bset->nparam, 3*dim, 0,
2751                                         dim, 0);
2752         bset = isl_basic_set_swap_vars(bset, 2*dim);
2753         for (i = 0; i < dim; ++i) {
2754                 int j = isl_basic_map_alloc_equality(
2755                                             (struct isl_basic_map *)bset);
2756                 if (j < 0)
2757                         goto error;
2758                 isl_seq_clr(bset->eq[j],
2759                             1 + bset->nparam + bset->dim + bset->extra);
2760                 isl_int_set_si(bset->eq[j][1+bset->nparam+i], 1);
2761                 isl_int_set_si(bset->eq[j][1+bset->nparam+dim+i], 1);
2762                 isl_int_set_si(bset->eq[j][1+bset->nparam+2*dim+i], -1);
2763         }
2764         return isl_basic_set_project_out(bset, 2*dim, 0);
2765 error:
2766         isl_basic_map_free(bmap);
2767         return NULL;
2768 }
2769
2770 /* If the only constraints a div d=floor(f/m)
2771  * appears in are its two defining constraints
2772  *
2773  *      f - m d >=0
2774  *      -(f - (m - 1)) + m d >= 0
2775  *
2776  * then it can safely be removed.
2777  */
2778 static int div_is_redundant(struct isl_basic_map *bmap, int div)
2779 {
2780         int i;
2781         unsigned pos = 1 + bmap->nparam + bmap->n_in + bmap->n_out + div;
2782
2783         for (i = 0; i < bmap->n_eq; ++i)
2784                 if (!isl_int_is_zero(bmap->eq[i][pos]))
2785                         return 0;
2786
2787         for (i = 0; i < bmap->n_ineq; ++i) {
2788                 if (isl_int_is_zero(bmap->ineq[i][pos]))
2789                         continue;
2790                 if (isl_int_eq(bmap->ineq[i][pos], bmap->div[div][0])) {
2791                         int neg;
2792                         isl_int_sub(bmap->div[div][1],
2793                                         bmap->div[div][1], bmap->div[div][0]);
2794                         isl_int_add_ui(bmap->div[div][1], bmap->div[div][1], 1);
2795                         neg = isl_seq_is_neg(bmap->ineq[i], bmap->div[div]+1, pos);
2796                         isl_int_sub_ui(bmap->div[div][1], bmap->div[div][1], 1);
2797                         isl_int_add(bmap->div[div][1],
2798                                         bmap->div[div][1], bmap->div[div][0]);
2799                         if (!neg)
2800                                 return 0;
2801                         if (isl_seq_first_non_zero(bmap->ineq[i]+pos+1,
2802                                                     bmap->n_div-div-1) != -1)
2803                                 return 0;
2804                 } else if (isl_int_abs_eq(bmap->ineq[i][pos], bmap->div[div][0])) {
2805                         if (!isl_seq_eq(bmap->ineq[i], bmap->div[div]+1, pos))
2806                                 return 0;
2807                         if (isl_seq_first_non_zero(bmap->ineq[i]+pos+1,
2808                                                     bmap->n_div-div-1) != -1)
2809                                 return 0;
2810                 } else
2811                         return 0;
2812         }
2813
2814         for (i = 0; i < bmap->n_div; ++i)
2815                 if (!isl_int_is_zero(bmap->div[i][1+pos]))
2816                         return 0;
2817
2818         return 1;
2819 }
2820
2821 /*
2822  * Remove divs that don't occur in any of the constraints or other divs.
2823  * These can arise when dropping some of the variables in a quast
2824  * returned by piplib.
2825  */
2826 static struct isl_basic_map *remove_redundant_divs(struct isl_basic_map *bmap)
2827 {
2828         int i;
2829
2830         if (!bmap)
2831                 return NULL;
2832
2833         for (i = bmap->n_div-1; i >= 0; --i) {
2834                 if (!div_is_redundant(bmap, i))
2835                         continue;
2836                 bmap = isl_basic_map_drop_div(bmap, i);
2837         }
2838         return bmap;
2839 }
2840
2841 struct isl_basic_map *isl_basic_map_finalize(struct isl_basic_map *bmap)
2842 {
2843         bmap = remove_redundant_divs(bmap);
2844         if (!bmap)
2845                 return NULL;
2846         F_SET(bmap, ISL_BASIC_SET_FINAL);
2847         return bmap;
2848 }
2849
2850 struct isl_basic_set *isl_basic_set_finalize(struct isl_basic_set *bset)
2851 {
2852         return (struct isl_basic_set *)
2853                 isl_basic_map_finalize((struct isl_basic_map *)bset);
2854 }
2855
2856 struct isl_set *isl_set_finalize(struct isl_set *set)
2857 {
2858         int i;
2859
2860         if (!set)
2861                 return NULL;
2862         for (i = 0; i < set->n; ++i) {
2863                 set->p[i] = isl_basic_set_finalize(set->p[i]);
2864                 if (!set->p[i])
2865                         goto error;
2866         }
2867         return set;
2868 error:
2869         isl_set_free(set);
2870         return NULL;
2871 }
2872
2873 struct isl_map *isl_map_finalize(struct isl_map *map)
2874 {
2875         int i;
2876
2877         if (!map)
2878                 return NULL;
2879         for (i = 0; i < map->n; ++i) {
2880                 map->p[i] = isl_basic_map_finalize(map->p[i]);
2881                 if (!map->p[i])
2882                         goto error;
2883         }
2884         return map;
2885 error:
2886         isl_map_free(map);
2887         return NULL;
2888 }
2889
2890 struct isl_basic_map *isl_basic_map_identity(struct isl_ctx *ctx,
2891                 unsigned nparam, unsigned dim)
2892 {
2893         struct isl_basic_map *bmap;
2894         int i;
2895
2896         bmap = isl_basic_map_alloc(ctx, nparam, dim, dim, 0, dim, 0);
2897         if (!bmap)
2898                 goto error;
2899
2900         for (i = 0; i < dim; ++i) {
2901                 int j = isl_basic_map_alloc_equality(bmap);
2902                 if (j < 0)
2903                         goto error;
2904                 isl_seq_clr(bmap->eq[j],
2905                     1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->extra);
2906                 isl_int_set_si(bmap->eq[j][1+nparam+i], 1);
2907                 isl_int_set_si(bmap->eq[j][1+nparam+dim+i], -1);
2908         }
2909         return isl_basic_map_finalize(bmap);
2910 error:
2911         isl_basic_map_free(bmap);
2912         return NULL;
2913 }
2914
2915 struct isl_map *isl_map_identity(struct isl_ctx *ctx,
2916                 unsigned nparam, unsigned dim)
2917 {
2918         struct isl_map *map = isl_map_alloc(ctx, nparam, dim, dim, 1,
2919                                                 ISL_MAP_DISJOINT);
2920         if (!map)
2921                 goto error;
2922         map = isl_map_add(map,
2923                 isl_basic_map_identity(ctx, nparam, dim));
2924         return map;
2925 error:
2926         isl_map_free(map);
2927         return NULL;
2928 }
2929
2930 int isl_set_is_equal(struct isl_set *set1, struct isl_set *set2)
2931 {
2932         return isl_map_is_equal((struct isl_map *)set1, (struct isl_map *)set2);
2933 }
2934
2935 int isl_set_is_subset(struct isl_set *set1, struct isl_set *set2)
2936 {
2937         return isl_map_is_subset(
2938                         (struct isl_map *)set1, (struct isl_map *)set2);
2939 }
2940
2941 int isl_basic_map_is_subset(
2942                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
2943 {
2944         int is_subset;
2945         struct isl_map *map1;
2946         struct isl_map *map2;
2947
2948         if (!bmap1 || !bmap2)
2949                 return -1;
2950
2951         map1 = isl_map_from_basic_map(isl_basic_map_copy(bmap1));
2952         map2 = isl_map_from_basic_map(isl_basic_map_copy(bmap2));
2953
2954         is_subset = isl_map_is_subset(map1, map2);
2955
2956         isl_map_free(map1);
2957         isl_map_free(map2);
2958
2959         return is_subset;
2960 }
2961
2962 int isl_basic_map_is_equal(
2963                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
2964 {
2965         int is_subset;
2966
2967         if (!bmap1 || !bmap2)
2968                 return -1;
2969         is_subset = isl_basic_map_is_subset(bmap1, bmap2);
2970         if (is_subset != 1)
2971                 return is_subset;
2972         is_subset = isl_basic_map_is_subset(bmap2, bmap1);
2973         return is_subset;
2974 }
2975
2976 int isl_basic_set_is_equal(
2977                 struct isl_basic_set *bset1, struct isl_basic_set *bset2)
2978 {
2979         return isl_basic_map_is_equal(
2980                 (struct isl_basic_map *)bset1, (struct isl_basic_map *)bset2);
2981 }
2982
2983 int isl_map_is_empty(struct isl_map *map)
2984 {
2985         int i;
2986         int is_empty;
2987
2988         if (!map)
2989                 return -1;
2990         for (i = 0; i < map->n; ++i) {
2991                 is_empty = isl_basic_map_is_empty(map->p[i]);
2992                 if (is_empty < 0)
2993                         return -1;
2994                 if (!is_empty)
2995                         return 0;
2996         }
2997         return 1;
2998 }
2999
3000 int isl_set_is_empty(struct isl_set *set)
3001 {
3002         return isl_map_is_empty((struct isl_map *)set);
3003 }
3004
3005 int isl_map_is_subset(struct isl_map *map1, struct isl_map *map2)
3006 {
3007         int i;
3008         int is_subset = 0;
3009         struct isl_map *diff;
3010
3011         if (!map1 || !map2)
3012                 return -1;
3013
3014         if (isl_map_is_empty(map1))
3015                 return 1;
3016
3017         if (isl_map_is_empty(map2))
3018                 return 0;
3019
3020         diff = isl_map_subtract(isl_map_copy(map1), isl_map_copy(map2));
3021         if (!diff)
3022                 return -1;
3023
3024         is_subset = isl_map_is_empty(diff);
3025         isl_map_free(diff);
3026
3027         return is_subset;
3028 }
3029
3030 int isl_map_is_equal(struct isl_map *map1, struct isl_map *map2)
3031 {
3032         int is_subset;
3033
3034         if (!map1 || !map2)
3035                 return -1;
3036         is_subset = isl_map_is_subset(map1, map2);
3037         if (is_subset != 1)
3038                 return is_subset;
3039         is_subset = isl_map_is_subset(map2, map1);
3040         return is_subset;
3041 }
3042
3043 int isl_basic_map_is_strict_subset(
3044                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
3045 {
3046         int is_subset;
3047
3048         if (!bmap1 || !bmap2)
3049                 return -1;
3050         is_subset = isl_basic_map_is_subset(bmap1, bmap2);
3051         if (is_subset != 1)
3052                 return is_subset;
3053         is_subset = isl_basic_map_is_subset(bmap2, bmap1);
3054         if (is_subset == -1)
3055                 return is_subset;
3056         return !is_subset;
3057 }
3058
3059 static int basic_map_contains(struct isl_basic_map *bmap, struct isl_vec *vec)
3060 {
3061         int i;
3062         unsigned total;
3063         isl_int s;
3064
3065         total = 1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
3066         if (total != vec->size)
3067                 return -1;
3068
3069         isl_int_init(s);
3070
3071         for (i = 0; i < bmap->n_eq; ++i) {
3072                 isl_seq_inner_product(vec->block.data, bmap->eq[i], total, &s);
3073                 if (!isl_int_is_zero(s)) {
3074                         isl_int_clear(s);
3075                         return 0;
3076                 }
3077         }
3078
3079         for (i = 0; i < bmap->n_ineq; ++i) {
3080                 isl_seq_inner_product(vec->block.data, bmap->ineq[i], total, &s);
3081                 if (isl_int_is_neg(s)) {
3082                         isl_int_clear(s);
3083                         return 0;
3084                 }
3085         }
3086
3087         isl_int_clear(s);
3088
3089         return 1;
3090 }
3091
3092 int isl_basic_map_is_universe(struct isl_basic_map *bmap)
3093 {
3094         if (!bmap)
3095                 return -1;
3096         return bmap->n_eq == 0 && bmap->n_ineq == 0;
3097 }
3098
3099 int isl_basic_map_is_empty(struct isl_basic_map *bmap)
3100 {
3101         struct isl_basic_set *bset = NULL;
3102         struct isl_vec *sample = NULL;
3103         int empty;
3104         unsigned total;
3105
3106         if (!bmap)
3107                 return -1;
3108
3109         if (F_ISSET(bmap, ISL_BASIC_MAP_EMPTY))
3110                 return 1;
3111
3112         total = 1 + bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
3113         if (bmap->sample && bmap->sample->size == total) {
3114                 int contains = basic_map_contains(bmap, bmap->sample);
3115                 if (contains < 0)
3116                         return -1;
3117                 if (contains)
3118                         return 0;
3119         }
3120         bset = isl_basic_map_underlying_set(isl_basic_map_copy(bmap));
3121         if (!bset)
3122                 return -1;
3123         sample = isl_basic_set_sample(bset);
3124         if (!sample)
3125                 return -1;
3126         empty = sample->size == 0;
3127         if (bmap->sample)
3128                 isl_vec_free(bmap->ctx, bmap->sample);
3129         bmap->sample = sample;
3130
3131         return empty;
3132 }
3133
3134 struct isl_map *isl_basic_map_union(
3135         struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
3136 {
3137         struct isl_map *map;
3138         if (!bmap1 || !bmap2)
3139                 return NULL;
3140
3141         isl_assert(bmap1->ctx, bmap1->nparam == bmap2->nparam, goto error);
3142         isl_assert(bmap1->ctx, bmap1->n_in == bmap2->n_in, goto error);
3143         isl_assert(bmap1->ctx, bmap1->n_out == bmap2->n_out, goto error);
3144
3145         map = isl_map_alloc(bmap1->ctx, bmap1->nparam,
3146                                 bmap1->n_in, bmap1->n_out, 2, 0);
3147         if (!map)
3148                 goto error;
3149         map = isl_map_add(map, bmap1);
3150         map = isl_map_add(map, bmap2);
3151         return map;
3152 error:
3153         isl_basic_map_free(bmap1);
3154         isl_basic_map_free(bmap2);
3155         return NULL;
3156 }
3157
3158 struct isl_set *isl_basic_set_union(
3159                 struct isl_basic_set *bset1, struct isl_basic_set *bset2)
3160 {
3161         return (struct isl_set *)isl_basic_map_union(
3162                                             (struct isl_basic_map *)bset1,
3163                                             (struct isl_basic_map *)bset2);
3164 }
3165
3166 /* Order divs such that any div only depends on previous divs */
3167 static struct isl_basic_map *order_divs(struct isl_basic_map *bmap)
3168 {
3169         int i;
3170         unsigned off = bmap->nparam + bmap->n_in + bmap->n_out;
3171
3172         for (i = 0; i < bmap->n_div; ++i) {
3173                 int pos;
3174                 pos = isl_seq_first_non_zero(bmap->div[i]+1+1+off+i,
3175                                                             bmap->n_div-i);
3176                 if (pos == -1)
3177                         continue;
3178                 swap_div(bmap, i, pos);
3179                 --i;
3180         }
3181         return bmap;
3182 }
3183
3184 static int find_div(struct isl_basic_map *dst,
3185                         struct isl_basic_map *src, unsigned div)
3186 {
3187         int i;
3188
3189         unsigned total = src->nparam + src->n_in + src->n_out + src->n_div;
3190
3191         for (i = 0; i < dst->n_div; ++i)
3192                 if (isl_seq_eq(dst->div[i], src->div[div], 1+1+total) &&
3193                     isl_seq_first_non_zero(dst->div[i]+1+1+total,
3194                                                 dst->n_div - src->n_div) == -1)
3195                         return i;
3196         return -1;
3197 }
3198
3199 struct isl_basic_map *isl_basic_map_align_divs(
3200                 struct isl_basic_map *dst, struct isl_basic_map *src)
3201 {
3202         int i;
3203         unsigned total = src->nparam + src->n_in + src->n_out + src->n_div;
3204
3205         if (src->n_div == 0)
3206                 return dst;
3207
3208         src = order_divs(src);
3209         dst = isl_basic_map_extend(dst, dst->nparam, dst->n_in,
3210                         dst->n_out, src->n_div, 0, 2 * src->n_div);
3211         if (!dst)
3212                 return NULL;
3213         for (i = 0; i < src->n_div; ++i) {
3214                 int j = find_div(dst, src, i);
3215                 if (j < 0) {
3216                         j = isl_basic_map_alloc_div(dst);
3217                         if (j < 0)
3218                                 goto error;
3219                         isl_seq_cpy(dst->div[j], src->div[i], 1+1+total);
3220                         isl_seq_clr(dst->div[j]+1+1+total,
3221                                                     dst->extra - src->n_div);
3222                         if (add_div_constraints(dst, j) < 0)
3223                                 goto error;
3224                 }
3225                 if (j != i)
3226                         swap_div(dst, i, j);
3227         }
3228         return dst;
3229 error:
3230         isl_basic_map_free(dst);
3231         return NULL;
3232 }
3233
3234 struct isl_map *isl_map_align_divs(struct isl_map *map)
3235 {
3236         int i;
3237
3238         map = isl_map_compute_divs(map);
3239         map = isl_map_cow(map);
3240         if (!map)
3241                 return NULL;
3242
3243         for (i = 1; i < map->n; ++i)
3244                 map->p[0] = isl_basic_map_align_divs(map->p[0], map->p[i]);
3245         for (i = 1; i < map->n; ++i)
3246                 map->p[i] = isl_basic_map_align_divs(map->p[i], map->p[0]);
3247
3248         return map;
3249 }
3250
3251 static struct isl_map *add_cut_constraint(struct isl_map *dst,
3252                 struct isl_basic_map *src, isl_int *c,
3253                 unsigned len, int oppose)
3254 {
3255         struct isl_basic_map *copy = NULL;
3256         int is_empty;
3257         int k;
3258         unsigned total;
3259
3260         copy = isl_basic_map_copy(src);
3261         copy = isl_basic_map_cow(copy);
3262         if (!copy)
3263                 goto error;
3264         copy = isl_basic_map_extend(copy,
3265                 copy->nparam, copy->n_in, copy->n_out, 0, 0, 1);
3266         k = isl_basic_map_alloc_inequality(copy);
3267         if (k < 0)
3268                 goto error;
3269         if (oppose)
3270                 isl_seq_neg(copy->ineq[k], c, len);
3271         else
3272                 isl_seq_cpy(copy->ineq[k], c, len);
3273         total = 1 + copy->nparam + copy->n_in + copy->n_out + copy->extra;
3274         isl_seq_clr(copy->ineq[k]+len, total - len);
3275         isl_inequality_negate(copy, k);
3276         copy = isl_basic_map_simplify(copy);
3277         copy = isl_basic_map_finalize(copy);
3278         is_empty = isl_basic_map_is_empty(copy);
3279         if (is_empty < 0)
3280                 goto error;
3281         if (!is_empty)
3282                 dst = isl_map_add(dst, copy);
3283         else
3284                 isl_basic_map_free(copy);
3285         return dst;
3286 error:
3287         isl_basic_map_free(copy);
3288         isl_map_free(dst);
3289         return NULL;
3290 }
3291
3292 static struct isl_map *subtract(struct isl_map *map, struct isl_basic_map *bmap)
3293 {
3294         int i, j, k;
3295         unsigned flags = 0;
3296         struct isl_map *rest = NULL;
3297         unsigned max;
3298         unsigned total = bmap->nparam + bmap->n_in + bmap->n_out + bmap->n_div;
3299
3300         assert(bmap);
3301
3302         if (!map)
3303                 goto error;
3304
3305         if (F_ISSET(map, ISL_MAP_DISJOINT))
3306                 FL_SET(flags, ISL_MAP_DISJOINT);
3307
3308         max = map->n * (2 * bmap->n_eq + bmap->n_ineq);
3309         rest = isl_map_alloc(map->ctx, map->nparam, map->n_in, map->n_out,
3310                                 max, flags);
3311         if (!rest)
3312                 goto error;
3313
3314         for (i = 0; i < map->n; ++i) {
3315                 map->p[i] = isl_basic_map_align_divs(map->p[i], bmap);
3316                 if (!map->p[i])
3317                         goto error;
3318         }
3319
3320         for (j = 0; j < map->n; ++j)
3321                 map->p[j] = isl_basic_map_cow(map->p[j]);
3322
3323         for (i = 0; i < bmap->n_eq; ++i) {
3324                 for (j = 0; j < map->n; ++j) {
3325                         rest = add_cut_constraint(rest,
3326                                 map->p[j], bmap->eq[i], 1+total, 0);
3327                         if (!rest)
3328                                 goto error;
3329
3330                         rest = add_cut_constraint(rest,
3331                                 map->p[j], bmap->eq[i], 1+total, 1);
3332                         if (!rest)
3333                                 goto error;
3334
3335                         map->p[j] = isl_basic_map_extend(map->p[j],
3336                                 map->p[j]->nparam, map->p[j]->n_in,
3337                                 map->p[j]->n_out, 0, 1, 0);
3338                         if (!map->p[j])
3339                                 goto error;
3340                         k = isl_basic_map_alloc_equality(map->p[j]);
3341                         if (k < 0)
3342                                 goto error;
3343                         isl_seq_cpy(map->p[j]->eq[k], bmap->eq[i], 1+total);
3344                         isl_seq_clr(map->p[j]->eq[k]+1+total,
3345                                         map->p[j]->extra - bmap->n_div);
3346                 }
3347         }
3348
3349         for (i = 0; i < bmap->n_ineq; ++i) {
3350                 for (j = 0; j < map->n; ++j) {
3351                         rest = add_cut_constraint(rest,
3352                                 map->p[j], bmap->ineq[i], 1+total, 0);
3353                         if (!rest)
3354                                 goto error;
3355
3356                         map->p[j] = isl_basic_map_extend(map->p[j],
3357                                 map->p[j]->nparam, map->p[j]->n_in,
3358                                 map->p[j]->n_out, 0, 0, 1);
3359                         if (!map->p[j])
3360                                 goto error;
3361                         k = isl_basic_map_alloc_inequality(map->p[j]);
3362                         if (k < 0)
3363                                 goto error;
3364                         isl_seq_cpy(map->p[j]->ineq[k], bmap->ineq[i], 1+total);
3365                         isl_seq_clr(map->p[j]->ineq[k]+1+total,
3366                                         map->p[j]->extra - bmap->n_div);
3367                 }
3368         }
3369
3370         isl_map_free(map);
3371         return rest;
3372 error:
3373         isl_map_free(map);
3374         isl_map_free(rest);
3375         return NULL;
3376 }
3377
3378 struct isl_map *isl_map_subtract(struct isl_map *map1, struct isl_map *map2)
3379 {
3380         int i;
3381         if (!map1 || !map2)
3382                 goto error;
3383
3384         isl_assert(map1->ctx, map1->nparam == map2->nparam, goto error);
3385         isl_assert(map1->ctx, map1->n_in == map2->n_in, goto error);
3386         isl_assert(map1->ctx, map1->n_out == map2->n_out, goto error);
3387
3388         if (isl_map_is_empty(map2)) {
3389                 isl_map_free(map2);
3390                 return map1;
3391         }
3392
3393         map1 = isl_map_compute_divs(map1);
3394         map2 = isl_map_compute_divs(map2);
3395         if (!map1 || !map2)
3396                 goto error;
3397
3398         for (i = 0; map1 && i < map2->n; ++i)
3399                 map1 = subtract(map1, map2->p[i]);
3400
3401         isl_map_free(map2);
3402         return map1;
3403 error:
3404         isl_map_free(map1);
3405         isl_map_free(map2);
3406         return NULL;
3407 }
3408
3409 struct isl_set *isl_set_subtract(struct isl_set *set1, struct isl_set *set2)
3410 {
3411         return (struct isl_set *)
3412                 isl_map_subtract(
3413                         (struct isl_map *)set1, (struct isl_map *)set2);
3414 }
3415
3416 struct isl_set *isl_set_apply(struct isl_set *set, struct isl_map *map)
3417 {
3418         if (!set || !map)
3419                 goto error;
3420         isl_assert(set->ctx, set->dim == map->n_in, goto error);
3421         map = isl_map_intersect_domain(map, set);
3422         set = isl_map_range(map);
3423         return set;
3424 error:
3425         isl_set_free(set);
3426         isl_map_free(map);
3427         return NULL;
3428 }
3429
3430 /* There is no need to cow as removing empty parts doesn't change
3431  * the meaning of the set.
3432  */
3433 struct isl_map *isl_map_remove_empty_parts(struct isl_map *map)
3434 {
3435         int i;
3436
3437         if (!map)
3438                 return NULL;
3439
3440         for (i = map->n-1; i >= 0; --i) {
3441                 if (!F_ISSET(map->p[i], ISL_BASIC_MAP_EMPTY))
3442                         continue;
3443                 isl_basic_map_free(map->p[i]);
3444                 if (i != map->n-1)
3445                         map->p[i] = map->p[map->n-1];
3446                 map->n--;
3447         }
3448
3449         return map;
3450 }
3451
3452 struct isl_set *isl_set_remove_empty_parts(struct isl_set *set)
3453 {
3454         return (struct isl_set *)
3455                 isl_map_remove_empty_parts((struct isl_map *)set);
3456 }