isl_map.c

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