isl_pw_templ.c

   1 #define xFN(TYPE,NAME) TYPE ## _ ## NAME
   2 #define FN(TYPE,NAME) xFN(TYPE,NAME)
   3 #define xS(TYPE,NAME) struct TYPE ## _ ## NAME
   4 #define S(TYPE,NAME) xS(TYPE,NAME)
   5
   6 #ifdef HAS_TYPE
   7 __isl_give PW *FN(PW,alloc_size)(__isl_take isl_space *dim,
   8         enum isl_fold type, int n)
   9 #else
  10 __isl_give PW *FN(PW,alloc_size)(__isl_take isl_space *dim, int n)
  11 #endif
  12 {
  13         isl_ctx *ctx;
  14         struct PW *pw;
  15
  16         if (!dim)
  17                 return NULL;
  18         ctx = isl_space_get_ctx(dim);
  19         isl_assert(ctx, n >= 0, goto error);
  20         pw = isl_alloc(ctx, struct PW,
  21                         sizeof(struct PW) + (n - 1) * sizeof(S(PW,piece)));
  22         if (!pw)
  23                 goto error;
  24
  25         pw->ref = 1;
  26 #ifdef HAS_TYPE
  27         pw->type = type;
  28 #endif
  29         pw->size = n;
  30         pw->n = 0;
  31         pw->dim = dim;
  32         return pw;
  33 error:
  34         isl_space_free(dim);
  35         return NULL;
  36 }
  37
  38 #ifdef HAS_TYPE
  39 __isl_give PW *FN(PW,ZERO)(__isl_take isl_space *dim, enum isl_fold type)
  40 {
  41         return FN(PW,alloc_size)(dim, type, 0);
  42 }
  43 #else
  44 __isl_give PW *FN(PW,ZERO)(__isl_take isl_space *dim)
  45 {
  46         return FN(PW,alloc_size)(dim, 0);
  47 }
  48 #endif
  49
  50 __isl_give PW *FN(PW,add_piece)(__isl_take PW *pw,
  51         __isl_take isl_set *set, __isl_take EL *el)
  52 {
  53         isl_ctx *ctx;
  54         isl_space *el_dim = NULL;
  55
  56         if (!pw || !set || !el)
  57                 goto error;
  58
  59         if (isl_set_plain_is_empty(set) || FN(EL,EL_IS_ZERO)(el)) {
  60                 isl_set_free(set);
  61                 FN(EL,free)(el);
  62                 return pw;
  63         }
  64
  65         ctx = isl_set_get_ctx(set);
  66 #ifdef HAS_TYPE
  67         if (pw->type != el->type)
  68                 isl_die(ctx, isl_error_invalid, "fold types don't match",
  69                         goto error);
  70 #endif
  71         el_dim = FN(EL,get_space(el));
  72         isl_assert(ctx, isl_space_is_equal(pw->dim, el_dim), goto error);
  73         isl_assert(ctx, pw->n < pw->size, goto error);
  74
  75         pw->p[pw->n].set = set;
  76         pw->p[pw->n].FIELD = el;
  77         pw->n++;
  78
  79         isl_space_free(el_dim);
  80         return pw;
  81 error:
  82         isl_space_free(el_dim);
  83         FN(PW,free)(pw);
  84         isl_set_free(set);
  85         FN(EL,free)(el);
  86         return NULL;
  87 }
  88
  89 #ifdef HAS_TYPE
  90 __isl_give PW *FN(PW,alloc)(enum isl_fold type,
  91         __isl_take isl_set *set, __isl_take EL *el)
  92 #else
  93 __isl_give PW *FN(PW,alloc)(__isl_take isl_set *set, __isl_take EL *el)
  94 #endif
  95 {
  96         PW *pw;
  97
  98         if (!set || !el)
  99                 goto error;
 100
 101 #ifdef HAS_TYPE
 102         pw = FN(PW,alloc_size)(FN(EL,get_space)(el), type, 1);
 103 #else
 104         pw = FN(PW,alloc_size)(FN(EL,get_space)(el), 1);
 105 #endif
 106
 107         return FN(PW,add_piece)(pw, set, el);
 108 error:
 109         isl_set_free(set);
 110         FN(EL,free)(el);
 111         return NULL;
 112 }
 113
 114 __isl_give PW *FN(PW,dup)(__isl_keep PW *pw)
 115 {
 116         int i;
 117         PW *dup;
 118
 119         if (!pw)
 120                 return NULL;
 121
 122 #ifdef HAS_TYPE
 123         dup = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->type, pw->n);
 124 #else
 125         dup = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->n);
 126 #endif
 127         if (!dup)
 128                 return NULL;
 129
 130         for (i = 0; i < pw->n; ++i)
 131                 dup = FN(PW,add_piece)(dup, isl_set_copy(pw->p[i].set),
 132                                             FN(EL,copy)(pw->p[i].FIELD));
 133
 134         return dup;
 135 }
 136
 137 __isl_give PW *FN(PW,cow)(__isl_take PW *pw)
 138 {
 139         if (!pw)
 140                 return NULL;
 141
 142         if (pw->ref == 1)
 143                 return pw;
 144         pw->ref--;
 145         return FN(PW,dup)(pw);
 146 }
 147
 148 __isl_give PW *FN(PW,copy)(__isl_keep PW *pw)
 149 {
 150         if (!pw)
 151                 return NULL;
 152
 153         pw->ref++;
 154         return pw;
 155 }
 156
 157 void *FN(PW,free)(__isl_take PW *pw)
 158 {
 159         int i;
 160
 161         if (!pw)
 162                 return NULL;
 163         if (--pw->ref > 0)
 164                 return NULL;
 165
 166         for (i = 0; i < pw->n; ++i) {
 167                 isl_set_free(pw->p[i].set);
 168                 FN(EL,free)(pw->p[i].FIELD);
 169         }
 170         isl_space_free(pw->dim);
 171         free(pw);
 172
 173         return NULL;
 174 }
 175
 176 const char *FN(PW,get_dim_name)(__isl_keep PW *pw, enum isl_dim_type type,
 177         unsigned pos)
 178 {
 179         return pw ? isl_space_get_dim_name(pw->dim, type, pos) : NULL;
 180 }
 181
 182 const char *FN(PW,get_tuple_name)(__isl_keep PW *pw, enum isl_dim_type type)
 183 {
 184         return pw ? isl_space_get_tuple_name(pw->dim, type) : NULL;
 185 }
 186
 187 int FN(PW,has_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
 188 {
 189         return pw ? isl_space_has_tuple_id(pw->dim, type) : -1;
 190 }
 191
 192 __isl_give isl_id *FN(PW,get_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
 193 {
 194         return pw ? isl_space_get_tuple_id(pw->dim, type) : NULL;
 195 }
 196
 197 int FN(PW,IS_ZERO)(__isl_keep PW *pw)
 198 {
 199         if (!pw)
 200                 return -1;
 201
 202         return pw->n == 0;
 203 }
 204
 205 #ifndef NO_REALIGN
 206 __isl_give PW *FN(PW,realign_domain)(__isl_take PW *pw,
 207         __isl_take isl_reordering *exp)
 208 {
 209         int i;
 210
 211         pw = FN(PW,cow)(pw);
 212         if (!pw || !exp)
 213                 return NULL;
 214
 215         for (i = 0; i < pw->n; ++i) {
 216                 pw->p[i].set = isl_set_realign(pw->p[i].set,
 217                                                     isl_reordering_copy(exp));
 218                 if (!pw->p[i].set)
 219                         goto error;
 220                 pw->p[i].FIELD = FN(EL,realign_domain)(pw->p[i].FIELD,
 221                                                     isl_reordering_copy(exp));
 222                 if (!pw->p[i].FIELD)
 223                         goto error;
 224         }
 225
 226         pw = FN(PW,reset_domain_space)(pw, isl_space_copy(exp->dim));
 227
 228         isl_reordering_free(exp);
 229         return pw;
 230 error:
 231         isl_reordering_free(exp);
 232         FN(PW,free)(pw);
 233         return NULL;
 234 }
 235
 236 /* Align the parameters of "pw" to those of "model".
 237  */
 238 __isl_give PW *FN(PW,align_params)(__isl_take PW *pw, __isl_take isl_space *model)
 239 {
 240         isl_ctx *ctx;
 241
 242         if (!pw || !model)
 243                 goto error;
 244
 245         ctx = isl_space_get_ctx(model);
 246         if (!isl_space_has_named_params(model))
 247                 isl_die(ctx, isl_error_invalid,
 248                         "model has unnamed parameters", goto error);
 249         if (!isl_space_has_named_params(pw->dim))
 250                 isl_die(ctx, isl_error_invalid,
 251                         "input has unnamed parameters", goto error);
 252         if (!isl_space_match(pw->dim, isl_dim_param, model, isl_dim_param)) {
 253                 isl_reordering *exp;
 254
 255                 model = isl_space_drop_dims(model, isl_dim_in,
 256                                         0, isl_space_dim(model, isl_dim_in));
 257                 model = isl_space_drop_dims(model, isl_dim_out,
 258                                         0, isl_space_dim(model, isl_dim_out));
 259                 exp = isl_parameter_alignment_reordering(pw->dim, model);
 260                 exp = isl_reordering_extend_space(exp,
 261                                         FN(PW,get_domain_space)(pw));
 262                 pw = FN(PW,realign_domain)(pw, exp);
 263         }
 264
 265         isl_space_free(model);
 266         return pw;
 267 error:
 268         isl_space_free(model);
 269         FN(PW,free)(pw);
 270         return NULL;
 271 }
 272
 273 static __isl_give PW *FN(PW,align_params_pw_pw_and)(__isl_take PW *pw1,
 274         __isl_take PW *pw2,
 275         __isl_give PW *(*fn)(__isl_take PW *pw1, __isl_take PW *pw2))
 276 {
 277         isl_ctx *ctx;
 278
 279         if (!pw1 || !pw2)
 280                 goto error;
 281         if (isl_space_match(pw1->dim, isl_dim_param, pw2->dim, isl_dim_param))
 282                 return fn(pw1, pw2);
 283         ctx = FN(PW,get_ctx)(pw1);
 284         if (!isl_space_has_named_params(pw1->dim) ||
 285             !isl_space_has_named_params(pw2->dim))
 286                 isl_die(ctx, isl_error_invalid,
 287                         "unaligned unnamed parameters", goto error);
 288         pw1 = FN(PW,align_params)(pw1, FN(PW,get_space)(pw2));
 289         pw2 = FN(PW,align_params)(pw2, FN(PW,get_space)(pw1));
 290         return fn(pw1, pw2);
 291 error:
 292         FN(PW,free)(pw1);
 293         FN(PW,free)(pw2);
 294         return NULL;
 295 }
 296
 297 static __isl_give PW *FN(PW,align_params_pw_set_and)(__isl_take PW *pw,
 298         __isl_take isl_set *set,
 299         __isl_give PW *(*fn)(__isl_take PW *pw, __isl_take isl_set *set))
 300 {
 301         isl_ctx *ctx;
 302
 303         if (!pw || !set)
 304                 goto error;
 305         if (isl_space_match(pw->dim, isl_dim_param, set->dim, isl_dim_param))
 306                 return fn(pw, set);
 307         ctx = FN(PW,get_ctx)(pw);
 308         if (!isl_space_has_named_params(pw->dim) ||
 309             !isl_space_has_named_params(set->dim))
 310                 isl_die(ctx, isl_error_invalid,
 311                         "unaligned unnamed parameters", goto error);
 312         pw = FN(PW,align_params)(pw, isl_set_get_space(set));
 313         set = isl_set_align_params(set, FN(PW,get_space)(pw));
 314         return fn(pw, set);
 315 error:
 316         FN(PW,free)(pw);
 317         isl_set_free(set);
 318         return NULL;
 319 }
 320 #endif
 321
 322 static __isl_give PW *FN(PW,add_aligned)(__isl_take PW *pw1, __isl_take PW *pw2)
 323 {
 324         int i, j, n;
 325         struct PW *res;
 326         isl_ctx *ctx;
 327         isl_set *set;
 328
 329         if (!pw1 || !pw2)
 330                 goto error;
 331
 332         ctx = isl_space_get_ctx(pw1->dim);
 333 #ifdef HAS_TYPE
 334         if (pw1->type != pw2->type)
 335                 isl_die(ctx, isl_error_invalid,
 336                         "fold types don't match", goto error);
 337 #endif
 338         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 339
 340         if (FN(PW,IS_ZERO)(pw1)) {
 341                 FN(PW,free)(pw1);
 342                 return pw2;
 343         }
 344
 345         if (FN(PW,IS_ZERO)(pw2)) {
 346                 FN(PW,free)(pw2);
 347                 return pw1;
 348         }
 349
 350         n = (pw1->n + 1) * (pw2->n + 1);
 351 #ifdef HAS_TYPE
 352         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), pw1->type, n);
 353 #else
 354         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), n);
 355 #endif
 356
 357         for (i = 0; i < pw1->n; ++i) {
 358                 set = isl_set_copy(pw1->p[i].set);
 359                 for (j = 0; j < pw2->n; ++j) {
 360                         struct isl_set *common;
 361                         EL *sum;
 362                         set = isl_set_subtract(set,
 363                                         isl_set_copy(pw2->p[j].set));
 364                         common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
 365                                                 isl_set_copy(pw2->p[j].set));
 366                         if (isl_set_plain_is_empty(common)) {
 367                                 isl_set_free(common);
 368                                 continue;
 369                         }
 370
 371                         sum = FN(EL,add_on_domain)(common,
 372                                                    FN(EL,copy)(pw1->p[i].FIELD),
 373                                                    FN(EL,copy)(pw2->p[j].FIELD));
 374
 375                         res = FN(PW,add_piece)(res, common, sum);
 376                 }
 377                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw1->p[i].FIELD));
 378         }
 379
 380         for (j = 0; j < pw2->n; ++j) {
 381                 set = isl_set_copy(pw2->p[j].set);
 382                 for (i = 0; i < pw1->n; ++i)
 383                         set = isl_set_subtract(set,
 384                                         isl_set_copy(pw1->p[i].set));
 385                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw2->p[j].FIELD));
 386         }
 387
 388         FN(PW,free)(pw1);
 389         FN(PW,free)(pw2);
 390
 391         return res;
 392 error:
 393         FN(PW,free)(pw1);
 394         FN(PW,free)(pw2);
 395         return NULL;
 396 }
 397
 398 __isl_give PW *FN(PW,add)(__isl_take PW *pw1, __isl_take PW *pw2)
 399 {
 400         return FN(PW,align_params_pw_pw_and)(pw1, pw2, &FN(PW,add_aligned));
 401 }
 402
 403 /* Make sure "pw" has room for at least "n" more pieces.
 404  *
 405  * If there is only one reference to pw, we extend it in place.
 406  * Otherwise, we create a new PW and copy the pieces.
 407  */
 408 static __isl_give PW *FN(PW,grow)(__isl_take PW *pw, int n)
 409 {
 410         int i;
 411         isl_ctx *ctx;
 412         PW *res;
 413
 414         if (!pw)
 415                 return NULL;
 416         if (pw->n + n <= pw->size)
 417                 return pw;
 418         ctx = FN(PW,get_ctx)(pw);
 419         n += pw->n;
 420         if (pw->ref == 1) {
 421                 res = isl_realloc(ctx, pw, struct PW,
 422                             sizeof(struct PW) + (n - 1) * sizeof(S(PW,piece)));
 423                 if (!res)
 424                         return FN(PW,free)(pw);
 425                 res->size = n;
 426                 return res;
 427         }
 428 #ifdef HAS_TYPE
 429         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->type, n);
 430 #else
 431         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), n);
 432 #endif
 433         if (!res)
 434                 return FN(PW,free)(pw);
 435         for (i = 0; i < pw->n; ++i)
 436                 res = FN(PW,add_piece)(res, isl_set_copy(pw->p[i].set),
 437                                             FN(EL,copy)(pw->p[i].FIELD));
 438         FN(PW,free)(pw);
 439         return res;
 440 }
 441
 442 static __isl_give PW *FN(PW,add_disjoint_aligned)(__isl_take PW *pw1,
 443         __isl_take PW *pw2)
 444 {
 445         int i;
 446         isl_ctx *ctx;
 447
 448         if (!pw1 || !pw2)
 449                 goto error;
 450
 451         if (pw1->size < pw1->n + pw2->n && pw1->n < pw2->n)
 452                 return FN(PW,add_disjoint_aligned)(pw2, pw1);
 453
 454         ctx = isl_space_get_ctx(pw1->dim);
 455 #ifdef HAS_TYPE
 456         if (pw1->type != pw2->type)
 457                 isl_die(ctx, isl_error_invalid,
 458                         "fold types don't match", goto error);
 459 #endif
 460         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 461
 462         if (FN(PW,IS_ZERO)(pw1)) {
 463                 FN(PW,free)(pw1);
 464                 return pw2;
 465         }
 466
 467         if (FN(PW,IS_ZERO)(pw2)) {
 468                 FN(PW,free)(pw2);
 469                 return pw1;
 470         }
 471
 472         pw1 = FN(PW,grow)(pw1, pw2->n);
 473         if (!pw1)
 474                 goto error;
 475
 476         for (i = 0; i < pw2->n; ++i)
 477                 pw1 = FN(PW,add_piece)(pw1,
 478                                 isl_set_copy(pw2->p[i].set),
 479                                 FN(EL,copy)(pw2->p[i].FIELD));
 480
 481         FN(PW,free)(pw2);
 482
 483         return pw1;
 484 error:
 485         FN(PW,free)(pw1);
 486         FN(PW,free)(pw2);
 487         return NULL;
 488 }
 489
 490 __isl_give PW *FN(PW,add_disjoint)(__isl_take PW *pw1, __isl_take PW *pw2)
 491 {
 492         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
 493                                                 &FN(PW,add_disjoint_aligned));
 494 }
 495
 496 #ifndef NO_NEG
 497 __isl_give PW *FN(PW,neg)(__isl_take PW *pw)
 498 {
 499         int i;
 500
 501         if (!pw)
 502                 return NULL;
 503
 504         if (FN(PW,IS_ZERO)(pw))
 505                 return pw;
 506
 507         pw = FN(PW,cow)(pw);
 508         if (!pw)
 509                 return NULL;
 510
 511         for (i = 0; i < pw->n; ++i) {
 512                 pw->p[i].FIELD = FN(EL,neg)(pw->p[i].FIELD);
 513                 if (!pw->p[i].FIELD)
 514                         return FN(PW,free)(pw);
 515         }
 516
 517         return pw;
 518 }
 519
 520 __isl_give PW *FN(PW,sub)(__isl_take PW *pw1, __isl_take PW *pw2)
 521 {
 522         return FN(PW,add)(pw1, FN(PW,neg)(pw2));
 523 }
 524 #endif
 525
 526 #ifndef NO_EVAL
 527 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
 528         __isl_take isl_point *pnt)
 529 {
 530         int i;
 531         int found = 0;
 532         isl_ctx *ctx;
 533         isl_space *pnt_dim = NULL;
 534         isl_qpolynomial *qp;
 535
 536         if (!pw || !pnt)
 537                 goto error;
 538         ctx = isl_point_get_ctx(pnt);
 539         pnt_dim = isl_point_get_space(pnt);
 540         isl_assert(ctx, isl_space_is_domain(pnt_dim, pw->dim), goto error);
 541
 542         for (i = 0; i < pw->n; ++i) {
 543                 found = isl_set_contains_point(pw->p[i].set, pnt);
 544                 if (found < 0)
 545                         goto error;
 546                 if (found)
 547                         break;
 548         }
 549         if (found)
 550                 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
 551                                             isl_point_copy(pnt));
 552         else
 553                 qp = isl_qpolynomial_zero_on_domain(FN(PW,get_domain_space)(pw));
 554         FN(PW,free)(pw);
 555         isl_space_free(pnt_dim);
 556         isl_point_free(pnt);
 557         return qp;
 558 error:
 559         FN(PW,free)(pw);
 560         isl_space_free(pnt_dim);
 561         isl_point_free(pnt);
 562         return NULL;
 563 }
 564 #endif
 565
 566 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
 567 {
 568         int i;
 569         isl_set *dom;
 570
 571         if (!pw)
 572                 return NULL;
 573
 574         dom = isl_set_empty(FN(PW,get_domain_space)(pw));
 575         for (i = 0; i < pw->n; ++i)
 576                 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
 577
 578         FN(PW,free)(pw);
 579
 580         return dom;
 581 }
 582
 583 static __isl_give PW *FN(PW,intersect_domain_aligned)(__isl_take PW *pw,
 584         __isl_take isl_set *set)
 585 {
 586         int i;
 587
 588         if (!pw || !set)
 589                 goto error;
 590
 591         if (pw->n == 0) {
 592                 isl_set_free(set);
 593                 return pw;
 594         }
 595
 596         pw = FN(PW,cow)(pw);
 597         if (!pw)
 598                 goto error;
 599
 600         for (i = pw->n - 1; i >= 0; --i) {
 601                 isl_basic_set *aff;
 602                 pw->p[i].set = isl_set_intersect(pw->p[i].set, isl_set_copy(set));
 603                 if (!pw->p[i].set)
 604                         goto error;
 605                 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
 606                 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
 607                                                                 aff);
 608                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 609                         isl_set_free(pw->p[i].set);
 610                         FN(EL,free)(pw->p[i].FIELD);
 611                         if (i != pw->n - 1)
 612                                 pw->p[i] = pw->p[pw->n - 1];
 613                         pw->n--;
 614                 }
 615         }
 616
 617         isl_set_free(set);
 618         return pw;
 619 error:
 620         isl_set_free(set);
 621         FN(PW,free)(pw);
 622         return NULL;
 623 }
 624
 625 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw,
 626         __isl_take isl_set *context)
 627 {
 628         return FN(PW,align_params_pw_set_and)(pw, context,
 629                                         &FN(PW,intersect_domain_aligned));
 630 }
 631
 632 static __isl_give PW *FN(PW,gist_aligned)(__isl_take PW *pw,
 633         __isl_take isl_set *context)
 634 {
 635         int i;
 636         isl_basic_set *hull = NULL;
 637
 638         if (!pw || !context)
 639                 goto error;
 640
 641         if (pw->n == 0) {
 642                 isl_set_free(context);
 643                 return pw;
 644         }
 645
 646         if (!isl_space_match(pw->dim, isl_dim_param,
 647                                 context->dim, isl_dim_param)) {
 648                 pw = FN(PW,align_params)(pw, isl_set_get_space(context));
 649                 context = isl_set_align_params(context, FN(PW,get_space)(pw));
 650         }
 651
 652         context = isl_set_compute_divs(context);
 653         hull = isl_set_simple_hull(isl_set_copy(context));
 654
 655         pw = FN(PW,cow)(pw);
 656         if (!pw)
 657                 goto error;
 658
 659         for (i = pw->n - 1; i >= 0; --i) {
 660                 pw->p[i].set = isl_set_intersect(pw->p[i].set,
 661                                                  isl_set_copy(context));
 662                 if (!pw->p[i].set)
 663                         goto error;
 664                 pw->p[i].FIELD = FN(EL,gist)(pw->p[i].FIELD,
 665                                              isl_set_copy(pw->p[i].set));
 666                 pw->p[i].set = isl_set_gist_basic_set(pw->p[i].set,
 667                                                 isl_basic_set_copy(hull));
 668                 if (!pw->p[i].set)
 669                         goto error;
 670                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 671                         isl_set_free(pw->p[i].set);
 672                         FN(EL,free)(pw->p[i].FIELD);
 673                         if (i != pw->n - 1)
 674                                 pw->p[i] = pw->p[pw->n - 1];
 675                         pw->n--;
 676                 }
 677         }
 678
 679         isl_basic_set_free(hull);
 680         isl_set_free(context);
 681
 682         return pw;
 683 error:
 684         FN(PW,free)(pw);
 685         isl_basic_set_free(hull);
 686         isl_set_free(context);
 687         return NULL;
 688 }
 689
 690 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
 691 {
 692         return FN(PW,align_params_pw_set_and)(pw, context, &FN(PW,gist_aligned));
 693 }
 694
 695 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
 696 {
 697         int i, j;
 698
 699         if (!pw)
 700                 return NULL;
 701         if (pw->n == 0)
 702                 return pw;
 703
 704         for (i = pw->n - 1; i >= 0; --i) {
 705                 for (j = i - 1; j >= 0; --j) {
 706                         if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
 707                                                         pw->p[j].FIELD))
 708                                 continue;
 709                         pw->p[j].set = isl_set_union(pw->p[j].set,
 710                                                         pw->p[i].set);
 711                         FN(EL,free)(pw->p[i].FIELD);
 712                         if (i != pw->n - 1)
 713                                 pw->p[i] = pw->p[pw->n - 1];
 714                         pw->n--;
 715                         break;
 716                 }
 717                 if (j >= 0)
 718                         continue;
 719                 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
 720                 if (!pw->p[i].set)
 721                         goto error;
 722         }
 723
 724         return pw;
 725 error:
 726         FN(PW,free)(pw);
 727         return NULL;
 728 }
 729
 730 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
 731 {
 732         return pw ? isl_space_get_ctx(pw->dim) : NULL;
 733 }
 734
 735 #ifndef NO_INVOLVES_DIMS
 736 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
 737         unsigned first, unsigned n)
 738 {
 739         int i;
 740         enum isl_dim_type set_type;
 741
 742         if (!pw)
 743                 return -1;
 744         if (pw->n == 0 || n == 0)
 745                 return 0;
 746
 747         set_type = type == isl_dim_in ? isl_dim_set : type;
 748
 749         for (i = 0; i < pw->n; ++i) {
 750                 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
 751                                                         type, first, n);
 752                 if (involves < 0 || involves)
 753                         return involves;
 754                 involves = isl_set_involves_dims(pw->p[i].set,
 755                                                         set_type, first, n);
 756                 if (involves < 0 || involves)
 757                         return involves;
 758         }
 759         return 0;
 760 }
 761 #endif
 762
 763 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
 764         enum isl_dim_type type, unsigned pos, const char *s)
 765 {
 766         int i;
 767         enum isl_dim_type set_type;
 768
 769         pw = FN(PW,cow)(pw);
 770         if (!pw)
 771                 return NULL;
 772
 773         set_type = type == isl_dim_in ? isl_dim_set : type;
 774
 775         pw->dim = isl_space_set_dim_name(pw->dim, type, pos, s);
 776         if (!pw->dim)
 777                 goto error;
 778
 779         for (i = 0; i < pw->n; ++i) {
 780                 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set,
 781                                                         set_type, pos, s);
 782                 if (!pw->p[i].set)
 783                         goto error;
 784                 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
 785                 if (!pw->p[i].FIELD)
 786                         goto error;
 787         }
 788
 789         return pw;
 790 error:
 791         FN(PW,free)(pw);
 792         return NULL;
 793 }
 794
 795 #ifndef NO_DROP_DIMS
 796 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
 797         enum isl_dim_type type, unsigned first, unsigned n)
 798 {
 799         int i;
 800         enum isl_dim_type set_type;
 801
 802         if (!pw)
 803                 return NULL;
 804         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 805                 return pw;
 806
 807         set_type = type == isl_dim_in ? isl_dim_set : type;
 808
 809         pw = FN(PW,cow)(pw);
 810         if (!pw)
 811                 return NULL;
 812         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 813         if (!pw->dim)
 814                 goto error;
 815         for (i = 0; i < pw->n; ++i) {
 816                 pw->p[i].set = isl_set_drop(pw->p[i].set, set_type, first, n);
 817                 if (!pw->p[i].set)
 818                         goto error;
 819                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 820                 if (!pw->p[i].FIELD)
 821                         goto error;
 822         }
 823
 824         return pw;
 825 error:
 826         FN(PW,free)(pw);
 827         return NULL;
 828 }
 829
 830 /* This function is very similar to drop_dims.
 831  * The only difference is that the cells may still involve
 832  * the specified dimensions.  They are removed using
 833  * isl_set_project_out instead of isl_set_drop.
 834  */
 835 __isl_give PW *FN(PW,project_out)(__isl_take PW *pw,
 836         enum isl_dim_type type, unsigned first, unsigned n)
 837 {
 838         int i;
 839         enum isl_dim_type set_type;
 840
 841         if (!pw)
 842                 return NULL;
 843         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 844                 return pw;
 845
 846         set_type = type == isl_dim_in ? isl_dim_set : type;
 847
 848         pw = FN(PW,cow)(pw);
 849         if (!pw)
 850                 return NULL;
 851         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 852         if (!pw->dim)
 853                 goto error;
 854         for (i = 0; i < pw->n; ++i) {
 855                 pw->p[i].set = isl_set_project_out(pw->p[i].set,
 856                                                         set_type, first, n);
 857                 if (!pw->p[i].set)
 858                         goto error;
 859                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 860                 if (!pw->p[i].FIELD)
 861                         goto error;
 862         }
 863
 864         return pw;
 865 error:
 866         FN(PW,free)(pw);
 867         return NULL;
 868 }
 869
 870 /* Project the domain of pw onto its parameter space.
 871  */
 872 __isl_give PW *FN(PW,project_domain_on_params)(__isl_take PW *pw)
 873 {
 874         isl_space *space;
 875         unsigned n;
 876
 877         n = FN(PW,dim)(pw, isl_dim_in);
 878         pw = FN(PW,project_out)(pw, isl_dim_in, 0, n);
 879         space = FN(PW,get_domain_space)(pw);
 880         space = isl_space_params(space);
 881         pw = FN(PW,reset_domain_space)(pw, space);
 882         return pw;
 883 }
 884 #endif
 885
 886 #ifndef NO_INSERT_DIMS
 887 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
 888         unsigned first, unsigned n)
 889 {
 890         int i;
 891         enum isl_dim_type set_type;
 892
 893         if (!pw)
 894                 return NULL;
 895         if (n == 0 && !isl_space_is_named_or_nested(pw->dim, type))
 896                 return pw;
 897
 898         set_type = type == isl_dim_in ? isl_dim_set : type;
 899
 900         pw = FN(PW,cow)(pw);
 901         if (!pw)
 902                 return NULL;
 903
 904         pw->dim = isl_space_insert_dims(pw->dim, type, first, n);
 905         if (!pw->dim)
 906                 goto error;
 907
 908         for (i = 0; i < pw->n; ++i) {
 909                 pw->p[i].set = isl_set_insert_dims(pw->p[i].set,
 910                                                             set_type, first, n);
 911                 if (!pw->p[i].set)
 912                         goto error;
 913                 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
 914                                                                 type, first, n);
 915                 if (!pw->p[i].FIELD)
 916                         goto error;
 917         }
 918
 919         return pw;
 920 error:
 921         FN(PW,free)(pw);
 922         return NULL;
 923 }
 924 #endif
 925
 926 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
 927         enum isl_dim_type type, unsigned pos, isl_int v)
 928 {
 929         int i;
 930
 931         if (!pw)
 932                 return NULL;
 933
 934         if (type == isl_dim_in)
 935                 type = isl_dim_set;
 936
 937         pw = FN(PW,cow)(pw);
 938         if (!pw)
 939                 return NULL;
 940         for (i = 0; i < pw->n; ++i) {
 941                 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
 942                 if (!pw->p[i].set)
 943                         goto error;
 944         }
 945
 946         return pw;
 947 error:
 948         FN(PW,free)(pw);
 949         return NULL;
 950 }
 951
 952 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
 953 {
 954         return pw ? isl_space_dim(pw->dim, type) : 0;
 955 }
 956
 957 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
 958         enum isl_dim_type type, unsigned first, unsigned n)
 959 {
 960         int i;
 961
 962         if (!pw)
 963                 return NULL;
 964         if (n == 0)
 965                 return pw;
 966
 967         if (type == isl_dim_in)
 968                 type = isl_dim_set;
 969
 970         pw = FN(PW,cow)(pw);
 971         if (!pw)
 972                 return NULL;
 973         if (!pw->dim)
 974                 goto error;
 975         for (i = 0; i < pw->n; ++i) {
 976                 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
 977                 if (!pw->p[i].set)
 978                         goto error;
 979         }
 980
 981         return pw;
 982 error:
 983         FN(PW,free)(pw);
 984         return NULL;
 985 }
 986
 987 #ifndef NO_OPT
 988 /* Compute the maximal value attained by the piecewise quasipolynomial
 989  * on its domain or zero if the domain is empty.
 990  * In the worst case, the domain is scanned completely,
 991  * so the domain is assumed to be bounded.
 992  */
 993 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
 994 {
 995         int i;
 996         isl_qpolynomial *opt;
 997
 998         if (!pw)
 999                 return NULL;
1000
1001         if (pw->n == 0) {
1002                 isl_space *dim = isl_space_copy(pw->dim);
1003                 FN(PW,free)(pw);
1004                 return isl_qpolynomial_zero_on_domain(dim);
1005         }
1006
1007         opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
1008                                         isl_set_copy(pw->p[0].set), max);
1009         for (i = 1; i < pw->n; ++i) {
1010                 isl_qpolynomial *opt_i;
1011                 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
1012                                                 isl_set_copy(pw->p[i].set), max);
1013                 if (max)
1014                         opt = isl_qpolynomial_max_cst(opt, opt_i);
1015                 else
1016                         opt = isl_qpolynomial_min_cst(opt, opt_i);
1017         }
1018
1019         FN(PW,free)(pw);
1020         return opt;
1021 }
1022
1023 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
1024 {
1025         return FN(PW,opt)(pw, 1);
1026 }
1027
1028 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
1029 {
1030         return FN(PW,opt)(pw, 0);
1031 }
1032 #endif
1033
1034 __isl_give isl_space *FN(PW,get_space)(__isl_keep PW *pw)
1035 {
1036         return pw ? isl_space_copy(pw->dim) : NULL;
1037 }
1038
1039 __isl_give isl_space *FN(PW,get_domain_space)(__isl_keep PW *pw)
1040 {
1041         return pw ? isl_space_domain(isl_space_copy(pw->dim)) : NULL;
1042 }
1043
1044 #ifndef NO_RESET_DIM
1045 /* Reset the space of "pw".  Since we don't know if the elements
1046  * represent the spaces themselves or their domains, we pass along
1047  * both when we call their reset_space_and_domain.
1048  */
1049 static __isl_give PW *FN(PW,reset_space_and_domain)(__isl_take PW *pw,
1050         __isl_take isl_space *space, __isl_take isl_space *domain)
1051 {
1052         int i;
1053
1054         pw = FN(PW,cow)(pw);
1055         if (!pw || !space || !domain)
1056                 goto error;
1057
1058         for (i = 0; i < pw->n; ++i) {
1059                 pw->p[i].set = isl_set_reset_space(pw->p[i].set,
1060                                                  isl_space_copy(domain));
1061                 if (!pw->p[i].set)
1062                         goto error;
1063                 pw->p[i].FIELD = FN(EL,reset_space_and_domain)(pw->p[i].FIELD,
1064                               isl_space_copy(space), isl_space_copy(domain));
1065                 if (!pw->p[i].FIELD)
1066                         goto error;
1067         }
1068
1069         isl_space_free(domain);
1070
1071         isl_space_free(pw->dim);
1072         pw->dim = space;
1073
1074         return pw;
1075 error:
1076         isl_space_free(domain);
1077         isl_space_free(space);
1078         FN(PW,free)(pw);
1079         return NULL;
1080 }
1081
1082 __isl_give PW *FN(PW,reset_domain_space)(__isl_take PW *pw,
1083         __isl_take isl_space *domain)
1084 {
1085         isl_space *space;
1086
1087         space = isl_space_extend_domain_with_range(isl_space_copy(domain),
1088                                                    FN(PW,get_space)(pw));
1089         return FN(PW,reset_space_and_domain)(pw, space, domain);
1090 }
1091
1092 __isl_give PW *FN(PW,reset_space)(__isl_take PW *pw, __isl_take isl_space *dim)
1093 {
1094         isl_space *domain;
1095
1096         domain = isl_space_domain(isl_space_copy(dim));
1097         return FN(PW,reset_space_and_domain)(pw, dim, domain);
1098 }
1099
1100 __isl_give PW *FN(PW,set_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type,
1101         __isl_take isl_id *id)
1102 {
1103         isl_space *space;
1104
1105         pw = FN(PW,cow)(pw);
1106         if (!pw)
1107                 return isl_id_free(id);
1108
1109         space = FN(PW,get_space)(pw);
1110         space = isl_space_set_tuple_id(space, type, id);
1111
1112         return FN(PW,reset_space)(pw, space);
1113 }
1114
1115 __isl_give PW *FN(PW,set_dim_id)(__isl_take PW *pw,
1116         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
1117 {
1118         pw = FN(PW,cow)(pw);
1119         if (!pw)
1120                 return isl_id_free(id);
1121         pw->dim = isl_space_set_dim_id(pw->dim, type, pos, id);
1122         return FN(PW,reset_space)(pw, isl_space_copy(pw->dim));
1123 }
1124 #endif
1125
1126 int FN(PW,has_equal_space)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1127 {
1128         if (!pw1 || !pw2)
1129                 return -1;
1130
1131         return isl_space_is_equal(pw1->dim, pw2->dim);
1132 }
1133
1134 #ifndef NO_MORPH
1135 __isl_give PW *FN(PW,morph_domain)(__isl_take PW *pw,
1136         __isl_take isl_morph *morph)
1137 {
1138         int i;
1139         isl_ctx *ctx;
1140
1141         if (!pw || !morph)
1142                 goto error;
1143
1144         ctx = isl_space_get_ctx(pw->dim);
1145         isl_assert(ctx, isl_space_is_domain(morph->dom->dim, pw->dim),
1146                 goto error);
1147
1148         pw = FN(PW,cow)(pw);
1149         if (!pw)
1150                 goto error;
1151         pw->dim = isl_space_extend_domain_with_range(
1152                         isl_space_copy(morph->ran->dim), pw->dim);
1153         if (!pw->dim)
1154                 goto error;
1155
1156         for (i = 0; i < pw->n; ++i) {
1157                 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
1158                 if (!pw->p[i].set)
1159                         goto error;
1160                 pw->p[i].FIELD = FN(EL,morph_domain)(pw->p[i].FIELD,
1161                                                 isl_morph_copy(morph));
1162                 if (!pw->p[i].FIELD)
1163                         goto error;
1164         }
1165
1166         isl_morph_free(morph);
1167
1168         return pw;
1169 error:
1170         FN(PW,free)(pw);
1171         isl_morph_free(morph);
1172         return NULL;
1173 }
1174 #endif
1175
1176 int FN(PW,foreach_piece)(__isl_keep PW *pw,
1177         int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
1178         void *user)
1179 {
1180         int i;
1181
1182         if (!pw)
1183                 return -1;
1184
1185         for (i = 0; i < pw->n; ++i)
1186                 if (fn(isl_set_copy(pw->p[i].set),
1187                                 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
1188                         return -1;
1189
1190         return 0;
1191 }
1192
1193 #ifndef NO_LIFT
1194 static int any_divs(__isl_keep isl_set *set)
1195 {
1196         int i;
1197
1198         if (!set)
1199                 return -1;
1200
1201         for (i = 0; i < set->n; ++i)
1202                 if (set->p[i]->n_div > 0)
1203                         return 1;
1204
1205         return 0;
1206 }
1207
1208 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
1209         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1210                     void *user), void *user)
1211 {
1212         int i;
1213
1214         if (!set || !el)
1215                 goto error;
1216
1217         for (i = 0; i < set->n; ++i) {
1218                 isl_set *lift;
1219                 EL *copy;
1220
1221                 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
1222                 lift = isl_set_lift(lift);
1223
1224                 copy = FN(EL,copy)(el);
1225                 copy = FN(EL,lift)(copy, isl_set_get_space(lift));
1226
1227                 if (fn(lift, copy, user) < 0)
1228                         goto error;
1229         }
1230
1231         isl_set_free(set);
1232         FN(EL,free)(el);
1233
1234         return 0;
1235 error:
1236         isl_set_free(set);
1237         FN(EL,free)(el);
1238         return -1;
1239 }
1240
1241 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
1242         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1243                     void *user), void *user)
1244 {
1245         int i;
1246
1247         if (!pw)
1248                 return -1;
1249
1250         for (i = 0; i < pw->n; ++i) {
1251                 isl_set *set;
1252                 EL *el;
1253
1254                 set = isl_set_copy(pw->p[i].set);
1255                 el = FN(EL,copy)(pw->p[i].FIELD);
1256                 if (!any_divs(set)) {
1257                         if (fn(set, el, user) < 0)
1258                                 return -1;
1259                         continue;
1260                 }
1261                 if (foreach_lifted_subset(set, el, fn, user) < 0)
1262                         return -1;
1263         }
1264
1265         return 0;
1266 }
1267 #endif
1268
1269 #ifndef NO_MOVE_DIMS
1270 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
1271         enum isl_dim_type dst_type, unsigned dst_pos,
1272         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1273 {
1274         int i;
1275
1276         pw = FN(PW,cow)(pw);
1277         if (!pw)
1278                 return NULL;
1279
1280         pw->dim = isl_space_move_dims(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
1281         if (!pw->dim)
1282                 goto error;
1283
1284         for (i = 0; i < pw->n; ++i) {
1285                 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
1286                                         dst_type, dst_pos, src_type, src_pos, n);
1287                 if (!pw->p[i].FIELD)
1288                         goto error;
1289         }
1290
1291         if (dst_type == isl_dim_in)
1292                 dst_type = isl_dim_set;
1293         if (src_type == isl_dim_in)
1294                 src_type = isl_dim_set;
1295
1296         for (i = 0; i < pw->n; ++i) {
1297                 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
1298                                                 dst_type, dst_pos,
1299                                                 src_type, src_pos, n);
1300                 if (!pw->p[i].set)
1301                         goto error;
1302         }
1303
1304         return pw;
1305 error:
1306         FN(PW,free)(pw);
1307         return NULL;
1308 }
1309 #endif
1310
1311 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
1312 {
1313         int i;
1314
1315         if (isl_int_is_one(v))
1316                 return pw;
1317         if (pw && isl_int_is_zero(v)) {
1318                 PW *zero;
1319                 isl_space *dim = FN(PW,get_space)(pw);
1320 #ifdef HAS_TYPE
1321                 zero = FN(PW,ZERO)(dim, pw->type);
1322 #else
1323                 zero = FN(PW,ZERO)(dim);
1324 #endif
1325                 FN(PW,free)(pw);
1326                 return zero;
1327         }
1328         pw = FN(PW,cow)(pw);
1329         if (!pw)
1330                 return NULL;
1331         if (pw->n == 0)
1332                 return pw;
1333
1334 #ifdef HAS_TYPE
1335         if (isl_int_is_neg(v))
1336                 pw->type = isl_fold_type_negate(pw->type);
1337 #endif
1338         for (i = 0; i < pw->n; ++i) {
1339                 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);
1340                 if (!pw->p[i].FIELD)
1341                         goto error;
1342         }
1343
1344         return pw;
1345 error:
1346         FN(PW,free)(pw);
1347         return NULL;
1348 }
1349
1350 __isl_give PW *FN(PW,scale)(__isl_take PW *pw, isl_int v)
1351 {
1352         return FN(PW,mul_isl_int)(pw, v);
1353 }
1354
1355 static int FN(PW,qsort_set_cmp)(const void *p1, const void *p2)
1356 {
1357         const isl_set *set1 = *(const isl_set **)p1;
1358         const isl_set *set2 = *(const isl_set **)p2;
1359
1360         return isl_set_plain_cmp(set1, set2);
1361 }
1362
1363 /* We normalize in place, but if anything goes wrong we need
1364  * to return NULL, so we need to make sure we don't change the
1365  * meaning of any possible other copies of map.
1366  */
1367 __isl_give PW *FN(PW,normalize)(__isl_take PW *pw)
1368 {
1369         int i, j;
1370         isl_set *set;
1371
1372         if (!pw)
1373                 return NULL;
1374         for (i = 0; i < pw->n; ++i) {
1375                 set = isl_set_normalize(isl_set_copy(pw->p[i].set));
1376                 if (!set)
1377                         return FN(PW,free)(pw);
1378                 isl_set_free(pw->p[i].set);
1379                 pw->p[i].set = set;
1380         }
1381         qsort(pw->p, pw->n, sizeof(pw->p[0]), &FN(PW,qsort_set_cmp));
1382         for (i = pw->n - 1; i >= 1; --i) {
1383                 if (!isl_set_plain_is_equal(pw->p[i - 1].set, pw->p[i].set))
1384                         continue;
1385                 if (!FN(EL,plain_is_equal)(pw->p[i - 1].FIELD, pw->p[i].FIELD))
1386                         continue;
1387                 set = isl_set_union(isl_set_copy(pw->p[i - 1].set),
1388                                     isl_set_copy(pw->p[i].set));
1389                 if (!set)
1390                         return FN(PW,free)(pw);
1391                 isl_set_free(pw->p[i].set);
1392                 FN(EL,free)(pw->p[i].FIELD);
1393                 isl_set_free(pw->p[i - 1].set);
1394                 pw->p[i - 1].set = set;
1395                 for (j = i + 1; j < pw->n; ++j)
1396                         pw->p[j - 1] = pw->p[j];
1397                 pw->n--;
1398         }
1399
1400         return pw;
1401 }
1402
1403 /* Is pw1 obviously equal to pw2?
1404  * That is, do they have obviously identical cells and obviously identical
1405  * elements on each cell?
1406  */
1407 int FN(PW,plain_is_equal)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1408 {
1409         int i;
1410         int equal;
1411
1412         if (!pw1 || !pw2)
1413                 return -1;
1414
1415         if (pw1 == pw2)
1416                 return 1;
1417         if (!isl_space_is_equal(pw1->dim, pw2->dim))
1418                 return 0;
1419
1420         pw1 = FN(PW,copy)(pw1);
1421         pw2 = FN(PW,copy)(pw2);
1422         pw1 = FN(PW,normalize)(pw1);
1423         pw2 = FN(PW,normalize)(pw2);
1424         if (!pw1 || !pw2)
1425                 goto error;
1426
1427         equal = pw1->n == pw2->n;
1428         for (i = 0; equal && i < pw1->n; ++i) {
1429                 equal = isl_set_plain_is_equal(pw1->p[i].set, pw2->p[i].set);
1430                 if (equal < 0)
1431                         goto error;
1432                 if (!equal)
1433                         break;
1434                 equal = FN(EL,plain_is_equal)(pw1->p[i].FIELD, pw2->p[i].FIELD);
1435                 if (equal < 0)
1436                         goto error;
1437         }
1438
1439         FN(PW,free)(pw1);
1440         FN(PW,free)(pw2);
1441         return equal;
1442 error:
1443         FN(PW,free)(pw1);
1444         FN(PW,free)(pw2);
1445         return -1;
1446 }