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 __isl_give isl_id *FN(PW,get_dim_id)(__isl_keep PW *pw, enum isl_dim_type type,
 183         unsigned pos)
 184 {
 185         return pw ? isl_space_get_dim_id(pw->dim, type, pos) : NULL;
 186 }
 187
 188 const char *FN(PW,get_tuple_name)(__isl_keep PW *pw, enum isl_dim_type type)
 189 {
 190         return pw ? isl_space_get_tuple_name(pw->dim, type) : NULL;
 191 }
 192
 193 int FN(PW,has_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
 194 {
 195         return pw ? isl_space_has_tuple_id(pw->dim, type) : -1;
 196 }
 197
 198 __isl_give isl_id *FN(PW,get_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
 199 {
 200         return pw ? isl_space_get_tuple_id(pw->dim, type) : NULL;
 201 }
 202
 203 int FN(PW,IS_ZERO)(__isl_keep PW *pw)
 204 {
 205         if (!pw)
 206                 return -1;
 207
 208         return pw->n == 0;
 209 }
 210
 211 #ifndef NO_REALIGN
 212 __isl_give PW *FN(PW,realign_domain)(__isl_take PW *pw,
 213         __isl_take isl_reordering *exp)
 214 {
 215         int i;
 216
 217         pw = FN(PW,cow)(pw);
 218         if (!pw || !exp)
 219                 return NULL;
 220
 221         for (i = 0; i < pw->n; ++i) {
 222                 pw->p[i].set = isl_set_realign(pw->p[i].set,
 223                                                     isl_reordering_copy(exp));
 224                 if (!pw->p[i].set)
 225                         goto error;
 226                 pw->p[i].FIELD = FN(EL,realign_domain)(pw->p[i].FIELD,
 227                                                     isl_reordering_copy(exp));
 228                 if (!pw->p[i].FIELD)
 229                         goto error;
 230         }
 231
 232         pw = FN(PW,reset_domain_space)(pw, isl_space_copy(exp->dim));
 233
 234         isl_reordering_free(exp);
 235         return pw;
 236 error:
 237         isl_reordering_free(exp);
 238         FN(PW,free)(pw);
 239         return NULL;
 240 }
 241
 242 /* Align the parameters of "pw" to those of "model".
 243  */
 244 __isl_give PW *FN(PW,align_params)(__isl_take PW *pw, __isl_take isl_space *model)
 245 {
 246         isl_ctx *ctx;
 247
 248         if (!pw || !model)
 249                 goto error;
 250
 251         ctx = isl_space_get_ctx(model);
 252         if (!isl_space_has_named_params(model))
 253                 isl_die(ctx, isl_error_invalid,
 254                         "model has unnamed parameters", goto error);
 255         if (!isl_space_has_named_params(pw->dim))
 256                 isl_die(ctx, isl_error_invalid,
 257                         "input has unnamed parameters", goto error);
 258         if (!isl_space_match(pw->dim, isl_dim_param, model, isl_dim_param)) {
 259                 isl_reordering *exp;
 260
 261                 model = isl_space_drop_dims(model, isl_dim_in,
 262                                         0, isl_space_dim(model, isl_dim_in));
 263                 model = isl_space_drop_dims(model, isl_dim_out,
 264                                         0, isl_space_dim(model, isl_dim_out));
 265                 exp = isl_parameter_alignment_reordering(pw->dim, model);
 266                 exp = isl_reordering_extend_space(exp,
 267                                         FN(PW,get_domain_space)(pw));
 268                 pw = FN(PW,realign_domain)(pw, exp);
 269         }
 270
 271         isl_space_free(model);
 272         return pw;
 273 error:
 274         isl_space_free(model);
 275         FN(PW,free)(pw);
 276         return NULL;
 277 }
 278
 279 static __isl_give PW *FN(PW,align_params_pw_pw_and)(__isl_take PW *pw1,
 280         __isl_take PW *pw2,
 281         __isl_give PW *(*fn)(__isl_take PW *pw1, __isl_take PW *pw2))
 282 {
 283         isl_ctx *ctx;
 284
 285         if (!pw1 || !pw2)
 286                 goto error;
 287         if (isl_space_match(pw1->dim, isl_dim_param, pw2->dim, isl_dim_param))
 288                 return fn(pw1, pw2);
 289         ctx = FN(PW,get_ctx)(pw1);
 290         if (!isl_space_has_named_params(pw1->dim) ||
 291             !isl_space_has_named_params(pw2->dim))
 292                 isl_die(ctx, isl_error_invalid,
 293                         "unaligned unnamed parameters", goto error);
 294         pw1 = FN(PW,align_params)(pw1, FN(PW,get_space)(pw2));
 295         pw2 = FN(PW,align_params)(pw2, FN(PW,get_space)(pw1));
 296         return fn(pw1, pw2);
 297 error:
 298         FN(PW,free)(pw1);
 299         FN(PW,free)(pw2);
 300         return NULL;
 301 }
 302
 303 static __isl_give PW *FN(PW,align_params_pw_set_and)(__isl_take PW *pw,
 304         __isl_take isl_set *set,
 305         __isl_give PW *(*fn)(__isl_take PW *pw, __isl_take isl_set *set))
 306 {
 307         isl_ctx *ctx;
 308
 309         if (!pw || !set)
 310                 goto error;
 311         if (isl_space_match(pw->dim, isl_dim_param, set->dim, isl_dim_param))
 312                 return fn(pw, set);
 313         ctx = FN(PW,get_ctx)(pw);
 314         if (!isl_space_has_named_params(pw->dim) ||
 315             !isl_space_has_named_params(set->dim))
 316                 isl_die(ctx, isl_error_invalid,
 317                         "unaligned unnamed parameters", goto error);
 318         pw = FN(PW,align_params)(pw, isl_set_get_space(set));
 319         set = isl_set_align_params(set, FN(PW,get_space)(pw));
 320         return fn(pw, set);
 321 error:
 322         FN(PW,free)(pw);
 323         isl_set_free(set);
 324         return NULL;
 325 }
 326 #endif
 327
 328 static __isl_give PW *FN(PW,add_aligned)(__isl_take PW *pw1, __isl_take PW *pw2)
 329 {
 330         int i, j, n;
 331         struct PW *res;
 332         isl_ctx *ctx;
 333         isl_set *set;
 334
 335         if (!pw1 || !pw2)
 336                 goto error;
 337
 338         ctx = isl_space_get_ctx(pw1->dim);
 339 #ifdef HAS_TYPE
 340         if (pw1->type != pw2->type)
 341                 isl_die(ctx, isl_error_invalid,
 342                         "fold types don't match", goto error);
 343 #endif
 344         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 345
 346         if (FN(PW,IS_ZERO)(pw1)) {
 347                 FN(PW,free)(pw1);
 348                 return pw2;
 349         }
 350
 351         if (FN(PW,IS_ZERO)(pw2)) {
 352                 FN(PW,free)(pw2);
 353                 return pw1;
 354         }
 355
 356         n = (pw1->n + 1) * (pw2->n + 1);
 357 #ifdef HAS_TYPE
 358         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), pw1->type, n);
 359 #else
 360         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), n);
 361 #endif
 362
 363         for (i = 0; i < pw1->n; ++i) {
 364                 set = isl_set_copy(pw1->p[i].set);
 365                 for (j = 0; j < pw2->n; ++j) {
 366                         struct isl_set *common;
 367                         EL *sum;
 368                         set = isl_set_subtract(set,
 369                                         isl_set_copy(pw2->p[j].set));
 370                         common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
 371                                                 isl_set_copy(pw2->p[j].set));
 372                         if (isl_set_plain_is_empty(common)) {
 373                                 isl_set_free(common);
 374                                 continue;
 375                         }
 376
 377                         sum = FN(EL,add_on_domain)(common,
 378                                                    FN(EL,copy)(pw1->p[i].FIELD),
 379                                                    FN(EL,copy)(pw2->p[j].FIELD));
 380
 381                         res = FN(PW,add_piece)(res, common, sum);
 382                 }
 383                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw1->p[i].FIELD));
 384         }
 385
 386         for (j = 0; j < pw2->n; ++j) {
 387                 set = isl_set_copy(pw2->p[j].set);
 388                 for (i = 0; i < pw1->n; ++i)
 389                         set = isl_set_subtract(set,
 390                                         isl_set_copy(pw1->p[i].set));
 391                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw2->p[j].FIELD));
 392         }
 393
 394         FN(PW,free)(pw1);
 395         FN(PW,free)(pw2);
 396
 397         return res;
 398 error:
 399         FN(PW,free)(pw1);
 400         FN(PW,free)(pw2);
 401         return NULL;
 402 }
 403
 404 __isl_give PW *FN(PW,add)(__isl_take PW *pw1, __isl_take PW *pw2)
 405 {
 406         return FN(PW,align_params_pw_pw_and)(pw1, pw2, &FN(PW,add_aligned));
 407 }
 408
 409 /* Make sure "pw" has room for at least "n" more pieces.
 410  *
 411  * If there is only one reference to pw, we extend it in place.
 412  * Otherwise, we create a new PW and copy the pieces.
 413  */
 414 static __isl_give PW *FN(PW,grow)(__isl_take PW *pw, int n)
 415 {
 416         int i;
 417         isl_ctx *ctx;
 418         PW *res;
 419
 420         if (!pw)
 421                 return NULL;
 422         if (pw->n + n <= pw->size)
 423                 return pw;
 424         ctx = FN(PW,get_ctx)(pw);
 425         n += pw->n;
 426         if (pw->ref == 1) {
 427                 res = isl_realloc(ctx, pw, struct PW,
 428                             sizeof(struct PW) + (n - 1) * sizeof(S(PW,piece)));
 429                 if (!res)
 430                         return FN(PW,free)(pw);
 431                 res->size = n;
 432                 return res;
 433         }
 434 #ifdef HAS_TYPE
 435         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->type, n);
 436 #else
 437         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), n);
 438 #endif
 439         if (!res)
 440                 return FN(PW,free)(pw);
 441         for (i = 0; i < pw->n; ++i)
 442                 res = FN(PW,add_piece)(res, isl_set_copy(pw->p[i].set),
 443                                             FN(EL,copy)(pw->p[i].FIELD));
 444         FN(PW,free)(pw);
 445         return res;
 446 }
 447
 448 static __isl_give PW *FN(PW,add_disjoint_aligned)(__isl_take PW *pw1,
 449         __isl_take PW *pw2)
 450 {
 451         int i;
 452         isl_ctx *ctx;
 453
 454         if (!pw1 || !pw2)
 455                 goto error;
 456
 457         if (pw1->size < pw1->n + pw2->n && pw1->n < pw2->n)
 458                 return FN(PW,add_disjoint_aligned)(pw2, pw1);
 459
 460         ctx = isl_space_get_ctx(pw1->dim);
 461 #ifdef HAS_TYPE
 462         if (pw1->type != pw2->type)
 463                 isl_die(ctx, isl_error_invalid,
 464                         "fold types don't match", goto error);
 465 #endif
 466         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 467
 468         if (FN(PW,IS_ZERO)(pw1)) {
 469                 FN(PW,free)(pw1);
 470                 return pw2;
 471         }
 472
 473         if (FN(PW,IS_ZERO)(pw2)) {
 474                 FN(PW,free)(pw2);
 475                 return pw1;
 476         }
 477
 478         pw1 = FN(PW,grow)(pw1, pw2->n);
 479         if (!pw1)
 480                 goto error;
 481
 482         for (i = 0; i < pw2->n; ++i)
 483                 pw1 = FN(PW,add_piece)(pw1,
 484                                 isl_set_copy(pw2->p[i].set),
 485                                 FN(EL,copy)(pw2->p[i].FIELD));
 486
 487         FN(PW,free)(pw2);
 488
 489         return pw1;
 490 error:
 491         FN(PW,free)(pw1);
 492         FN(PW,free)(pw2);
 493         return NULL;
 494 }
 495
 496 __isl_give PW *FN(PW,add_disjoint)(__isl_take PW *pw1, __isl_take PW *pw2)
 497 {
 498         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
 499                                                 &FN(PW,add_disjoint_aligned));
 500 }
 501
 502 #ifndef NO_NEG
 503 __isl_give PW *FN(PW,neg)(__isl_take PW *pw)
 504 {
 505         int i;
 506
 507         if (!pw)
 508                 return NULL;
 509
 510         if (FN(PW,IS_ZERO)(pw))
 511                 return pw;
 512
 513         pw = FN(PW,cow)(pw);
 514         if (!pw)
 515                 return NULL;
 516
 517         for (i = 0; i < pw->n; ++i) {
 518                 pw->p[i].FIELD = FN(EL,neg)(pw->p[i].FIELD);
 519                 if (!pw->p[i].FIELD)
 520                         return FN(PW,free)(pw);
 521         }
 522
 523         return pw;
 524 }
 525
 526 __isl_give PW *FN(PW,sub)(__isl_take PW *pw1, __isl_take PW *pw2)
 527 {
 528         return FN(PW,add)(pw1, FN(PW,neg)(pw2));
 529 }
 530 #endif
 531
 532 #ifndef NO_EVAL
 533 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
 534         __isl_take isl_point *pnt)
 535 {
 536         int i;
 537         int found = 0;
 538         isl_ctx *ctx;
 539         isl_space *pnt_dim = NULL;
 540         isl_qpolynomial *qp;
 541
 542         if (!pw || !pnt)
 543                 goto error;
 544         ctx = isl_point_get_ctx(pnt);
 545         pnt_dim = isl_point_get_space(pnt);
 546         isl_assert(ctx, isl_space_is_domain(pnt_dim, pw->dim), goto error);
 547
 548         for (i = 0; i < pw->n; ++i) {
 549                 found = isl_set_contains_point(pw->p[i].set, pnt);
 550                 if (found < 0)
 551                         goto error;
 552                 if (found)
 553                         break;
 554         }
 555         if (found)
 556                 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
 557                                             isl_point_copy(pnt));
 558         else
 559                 qp = isl_qpolynomial_zero_on_domain(FN(PW,get_domain_space)(pw));
 560         FN(PW,free)(pw);
 561         isl_space_free(pnt_dim);
 562         isl_point_free(pnt);
 563         return qp;
 564 error:
 565         FN(PW,free)(pw);
 566         isl_space_free(pnt_dim);
 567         isl_point_free(pnt);
 568         return NULL;
 569 }
 570 #endif
 571
 572 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
 573 {
 574         int i;
 575         isl_set *dom;
 576
 577         if (!pw)
 578                 return NULL;
 579
 580         dom = isl_set_empty(FN(PW,get_domain_space)(pw));
 581         for (i = 0; i < pw->n; ++i)
 582                 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
 583
 584         FN(PW,free)(pw);
 585
 586         return dom;
 587 }
 588
 589 static __isl_give PW *FN(PW,intersect_domain_aligned)(__isl_take PW *pw,
 590         __isl_take isl_set *set)
 591 {
 592         int i;
 593
 594         if (!pw || !set)
 595                 goto error;
 596
 597         if (pw->n == 0) {
 598                 isl_set_free(set);
 599                 return pw;
 600         }
 601
 602         pw = FN(PW,cow)(pw);
 603         if (!pw)
 604                 goto error;
 605
 606         for (i = pw->n - 1; i >= 0; --i) {
 607                 isl_basic_set *aff;
 608                 pw->p[i].set = isl_set_intersect(pw->p[i].set, isl_set_copy(set));
 609                 if (!pw->p[i].set)
 610                         goto error;
 611                 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
 612                 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
 613                                                                 aff);
 614                 if (!pw->p[i].FIELD)
 615                         goto error;
 616                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 617                         isl_set_free(pw->p[i].set);
 618                         FN(EL,free)(pw->p[i].FIELD);
 619                         if (i != pw->n - 1)
 620                                 pw->p[i] = pw->p[pw->n - 1];
 621                         pw->n--;
 622                 }
 623         }
 624
 625         isl_set_free(set);
 626         return pw;
 627 error:
 628         isl_set_free(set);
 629         FN(PW,free)(pw);
 630         return NULL;
 631 }
 632
 633 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw,
 634         __isl_take isl_set *context)
 635 {
 636         return FN(PW,align_params_pw_set_and)(pw, context,
 637                                         &FN(PW,intersect_domain_aligned));
 638 }
 639
 640 static __isl_give PW *FN(PW,gist_aligned)(__isl_take PW *pw,
 641         __isl_take isl_set *context)
 642 {
 643         int i;
 644         isl_basic_set *hull = NULL;
 645
 646         if (!pw || !context)
 647                 goto error;
 648
 649         if (pw->n == 0) {
 650                 isl_set_free(context);
 651                 return pw;
 652         }
 653
 654         if (!isl_space_match(pw->dim, isl_dim_param,
 655                                 context->dim, isl_dim_param)) {
 656                 pw = FN(PW,align_params)(pw, isl_set_get_space(context));
 657                 context = isl_set_align_params(context, FN(PW,get_space)(pw));
 658         }
 659
 660         context = isl_set_compute_divs(context);
 661         hull = isl_set_simple_hull(isl_set_copy(context));
 662
 663         pw = FN(PW,cow)(pw);
 664         if (!pw)
 665                 goto error;
 666
 667         for (i = pw->n - 1; i >= 0; --i) {
 668                 pw->p[i].set = isl_set_intersect(pw->p[i].set,
 669                                                  isl_set_copy(context));
 670                 if (!pw->p[i].set)
 671                         goto error;
 672                 pw->p[i].FIELD = FN(EL,gist)(pw->p[i].FIELD,
 673                                              isl_set_copy(pw->p[i].set));
 674                 pw->p[i].set = isl_set_gist_basic_set(pw->p[i].set,
 675                                                 isl_basic_set_copy(hull));
 676                 if (!pw->p[i].set)
 677                         goto error;
 678                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 679                         isl_set_free(pw->p[i].set);
 680                         FN(EL,free)(pw->p[i].FIELD);
 681                         if (i != pw->n - 1)
 682                                 pw->p[i] = pw->p[pw->n - 1];
 683                         pw->n--;
 684                 }
 685         }
 686
 687         isl_basic_set_free(hull);
 688         isl_set_free(context);
 689
 690         return pw;
 691 error:
 692         FN(PW,free)(pw);
 693         isl_basic_set_free(hull);
 694         isl_set_free(context);
 695         return NULL;
 696 }
 697
 698 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
 699 {
 700         return FN(PW,align_params_pw_set_and)(pw, context, &FN(PW,gist_aligned));
 701 }
 702
 703 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
 704 {
 705         int i, j;
 706
 707         if (!pw)
 708                 return NULL;
 709         if (pw->n == 0)
 710                 return pw;
 711
 712         for (i = pw->n - 1; i >= 0; --i) {
 713                 for (j = i - 1; j >= 0; --j) {
 714                         if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
 715                                                         pw->p[j].FIELD))
 716                                 continue;
 717                         pw->p[j].set = isl_set_union(pw->p[j].set,
 718                                                         pw->p[i].set);
 719                         FN(EL,free)(pw->p[i].FIELD);
 720                         if (i != pw->n - 1)
 721                                 pw->p[i] = pw->p[pw->n - 1];
 722                         pw->n--;
 723                         break;
 724                 }
 725                 if (j >= 0)
 726                         continue;
 727                 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
 728                 if (!pw->p[i].set)
 729                         goto error;
 730         }
 731
 732         return pw;
 733 error:
 734         FN(PW,free)(pw);
 735         return NULL;
 736 }
 737
 738 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
 739 {
 740         return pw ? isl_space_get_ctx(pw->dim) : NULL;
 741 }
 742
 743 #ifndef NO_INVOLVES_DIMS
 744 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
 745         unsigned first, unsigned n)
 746 {
 747         int i;
 748         enum isl_dim_type set_type;
 749
 750         if (!pw)
 751                 return -1;
 752         if (pw->n == 0 || n == 0)
 753                 return 0;
 754
 755         set_type = type == isl_dim_in ? isl_dim_set : type;
 756
 757         for (i = 0; i < pw->n; ++i) {
 758                 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
 759                                                         type, first, n);
 760                 if (involves < 0 || involves)
 761                         return involves;
 762                 involves = isl_set_involves_dims(pw->p[i].set,
 763                                                         set_type, first, n);
 764                 if (involves < 0 || involves)
 765                         return involves;
 766         }
 767         return 0;
 768 }
 769 #endif
 770
 771 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
 772         enum isl_dim_type type, unsigned pos, const char *s)
 773 {
 774         int i;
 775         enum isl_dim_type set_type;
 776
 777         pw = FN(PW,cow)(pw);
 778         if (!pw)
 779                 return NULL;
 780
 781         set_type = type == isl_dim_in ? isl_dim_set : type;
 782
 783         pw->dim = isl_space_set_dim_name(pw->dim, type, pos, s);
 784         if (!pw->dim)
 785                 goto error;
 786
 787         for (i = 0; i < pw->n; ++i) {
 788                 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set,
 789                                                         set_type, pos, s);
 790                 if (!pw->p[i].set)
 791                         goto error;
 792                 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
 793                 if (!pw->p[i].FIELD)
 794                         goto error;
 795         }
 796
 797         return pw;
 798 error:
 799         FN(PW,free)(pw);
 800         return NULL;
 801 }
 802
 803 #ifndef NO_DROP_DIMS
 804 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
 805         enum isl_dim_type type, unsigned first, unsigned n)
 806 {
 807         int i;
 808         enum isl_dim_type set_type;
 809
 810         if (!pw)
 811                 return NULL;
 812         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 813                 return pw;
 814
 815         set_type = type == isl_dim_in ? isl_dim_set : type;
 816
 817         pw = FN(PW,cow)(pw);
 818         if (!pw)
 819                 return NULL;
 820         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 821         if (!pw->dim)
 822                 goto error;
 823         for (i = 0; i < pw->n; ++i) {
 824                 pw->p[i].set = isl_set_drop(pw->p[i].set, set_type, first, n);
 825                 if (!pw->p[i].set)
 826                         goto error;
 827                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 828                 if (!pw->p[i].FIELD)
 829                         goto error;
 830         }
 831
 832         return pw;
 833 error:
 834         FN(PW,free)(pw);
 835         return NULL;
 836 }
 837
 838 /* This function is very similar to drop_dims.
 839  * The only difference is that the cells may still involve
 840  * the specified dimensions.  They are removed using
 841  * isl_set_project_out instead of isl_set_drop.
 842  */
 843 __isl_give PW *FN(PW,project_out)(__isl_take PW *pw,
 844         enum isl_dim_type type, unsigned first, unsigned n)
 845 {
 846         int i;
 847         enum isl_dim_type set_type;
 848
 849         if (!pw)
 850                 return NULL;
 851         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 852                 return pw;
 853
 854         set_type = type == isl_dim_in ? isl_dim_set : type;
 855
 856         pw = FN(PW,cow)(pw);
 857         if (!pw)
 858                 return NULL;
 859         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 860         if (!pw->dim)
 861                 goto error;
 862         for (i = 0; i < pw->n; ++i) {
 863                 pw->p[i].set = isl_set_project_out(pw->p[i].set,
 864                                                         set_type, first, n);
 865                 if (!pw->p[i].set)
 866                         goto error;
 867                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 868                 if (!pw->p[i].FIELD)
 869                         goto error;
 870         }
 871
 872         return pw;
 873 error:
 874         FN(PW,free)(pw);
 875         return NULL;
 876 }
 877
 878 /* Project the domain of pw onto its parameter space.
 879  */
 880 __isl_give PW *FN(PW,project_domain_on_params)(__isl_take PW *pw)
 881 {
 882         isl_space *space;
 883         unsigned n;
 884
 885         n = FN(PW,dim)(pw, isl_dim_in);
 886         pw = FN(PW,project_out)(pw, isl_dim_in, 0, n);
 887         space = FN(PW,get_domain_space)(pw);
 888         space = isl_space_params(space);
 889         pw = FN(PW,reset_domain_space)(pw, space);
 890         return pw;
 891 }
 892 #endif
 893
 894 #ifndef NO_INSERT_DIMS
 895 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
 896         unsigned first, unsigned n)
 897 {
 898         int i;
 899         enum isl_dim_type set_type;
 900
 901         if (!pw)
 902                 return NULL;
 903         if (n == 0 && !isl_space_is_named_or_nested(pw->dim, type))
 904                 return pw;
 905
 906         set_type = type == isl_dim_in ? isl_dim_set : type;
 907
 908         pw = FN(PW,cow)(pw);
 909         if (!pw)
 910                 return NULL;
 911
 912         pw->dim = isl_space_insert_dims(pw->dim, type, first, n);
 913         if (!pw->dim)
 914                 goto error;
 915
 916         for (i = 0; i < pw->n; ++i) {
 917                 pw->p[i].set = isl_set_insert_dims(pw->p[i].set,
 918                                                             set_type, first, n);
 919                 if (!pw->p[i].set)
 920                         goto error;
 921                 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
 922                                                                 type, first, n);
 923                 if (!pw->p[i].FIELD)
 924                         goto error;
 925         }
 926
 927         return pw;
 928 error:
 929         FN(PW,free)(pw);
 930         return NULL;
 931 }
 932 #endif
 933
 934 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
 935         enum isl_dim_type type, unsigned pos, isl_int v)
 936 {
 937         int i;
 938
 939         if (!pw)
 940                 return NULL;
 941
 942         if (type == isl_dim_in)
 943                 type = isl_dim_set;
 944
 945         pw = FN(PW,cow)(pw);
 946         if (!pw)
 947                 return NULL;
 948         for (i = 0; i < pw->n; ++i) {
 949                 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
 950                 if (!pw->p[i].set)
 951                         goto error;
 952         }
 953
 954         return pw;
 955 error:
 956         FN(PW,free)(pw);
 957         return NULL;
 958 }
 959
 960 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
 961 {
 962         return pw ? isl_space_dim(pw->dim, type) : 0;
 963 }
 964
 965 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
 966         enum isl_dim_type type, unsigned first, unsigned n)
 967 {
 968         int i;
 969
 970         if (!pw)
 971                 return NULL;
 972         if (n == 0)
 973                 return pw;
 974
 975         if (type == isl_dim_in)
 976                 type = isl_dim_set;
 977
 978         pw = FN(PW,cow)(pw);
 979         if (!pw)
 980                 return NULL;
 981         if (!pw->dim)
 982                 goto error;
 983         for (i = 0; i < pw->n; ++i) {
 984                 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
 985                 if (!pw->p[i].set)
 986                         goto error;
 987         }
 988
 989         return pw;
 990 error:
 991         FN(PW,free)(pw);
 992         return NULL;
 993 }
 994
 995 #ifndef NO_OPT
 996 /* Compute the maximal value attained by the piecewise quasipolynomial
 997  * on its domain or zero if the domain is empty.
 998  * In the worst case, the domain is scanned completely,
 999  * so the domain is assumed to be bounded.
1000  */
1001 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
1002 {
1003         int i;
1004         isl_qpolynomial *opt;
1005
1006         if (!pw)
1007                 return NULL;
1008
1009         if (pw->n == 0) {
1010                 isl_space *dim = isl_space_copy(pw->dim);
1011                 FN(PW,free)(pw);
1012                 return isl_qpolynomial_zero_on_domain(dim);
1013         }
1014
1015         opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
1016                                         isl_set_copy(pw->p[0].set), max);
1017         for (i = 1; i < pw->n; ++i) {
1018                 isl_qpolynomial *opt_i;
1019                 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
1020                                                 isl_set_copy(pw->p[i].set), max);
1021                 if (max)
1022                         opt = isl_qpolynomial_max_cst(opt, opt_i);
1023                 else
1024                         opt = isl_qpolynomial_min_cst(opt, opt_i);
1025         }
1026
1027         FN(PW,free)(pw);
1028         return opt;
1029 }
1030
1031 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
1032 {
1033         return FN(PW,opt)(pw, 1);
1034 }
1035
1036 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
1037 {
1038         return FN(PW,opt)(pw, 0);
1039 }
1040 #endif
1041
1042 __isl_give isl_space *FN(PW,get_space)(__isl_keep PW *pw)
1043 {
1044         return pw ? isl_space_copy(pw->dim) : NULL;
1045 }
1046
1047 __isl_give isl_space *FN(PW,get_domain_space)(__isl_keep PW *pw)
1048 {
1049         return pw ? isl_space_domain(isl_space_copy(pw->dim)) : NULL;
1050 }
1051
1052 #ifndef NO_RESET_DIM
1053 /* Reset the space of "pw".  Since we don't know if the elements
1054  * represent the spaces themselves or their domains, we pass along
1055  * both when we call their reset_space_and_domain.
1056  */
1057 static __isl_give PW *FN(PW,reset_space_and_domain)(__isl_take PW *pw,
1058         __isl_take isl_space *space, __isl_take isl_space *domain)
1059 {
1060         int i;
1061
1062         pw = FN(PW,cow)(pw);
1063         if (!pw || !space || !domain)
1064                 goto error;
1065
1066         for (i = 0; i < pw->n; ++i) {
1067                 pw->p[i].set = isl_set_reset_space(pw->p[i].set,
1068                                                  isl_space_copy(domain));
1069                 if (!pw->p[i].set)
1070                         goto error;
1071                 pw->p[i].FIELD = FN(EL,reset_space_and_domain)(pw->p[i].FIELD,
1072                               isl_space_copy(space), isl_space_copy(domain));
1073                 if (!pw->p[i].FIELD)
1074                         goto error;
1075         }
1076
1077         isl_space_free(domain);
1078
1079         isl_space_free(pw->dim);
1080         pw->dim = space;
1081
1082         return pw;
1083 error:
1084         isl_space_free(domain);
1085         isl_space_free(space);
1086         FN(PW,free)(pw);
1087         return NULL;
1088 }
1089
1090 __isl_give PW *FN(PW,reset_domain_space)(__isl_take PW *pw,
1091         __isl_take isl_space *domain)
1092 {
1093         isl_space *space;
1094
1095         space = isl_space_extend_domain_with_range(isl_space_copy(domain),
1096                                                    FN(PW,get_space)(pw));
1097         return FN(PW,reset_space_and_domain)(pw, space, domain);
1098 }
1099
1100 __isl_give PW *FN(PW,reset_space)(__isl_take PW *pw, __isl_take isl_space *dim)
1101 {
1102         isl_space *domain;
1103
1104         domain = isl_space_domain(isl_space_copy(dim));
1105         return FN(PW,reset_space_and_domain)(pw, dim, domain);
1106 }
1107
1108 __isl_give PW *FN(PW,set_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type,
1109         __isl_take isl_id *id)
1110 {
1111         isl_space *space;
1112
1113         pw = FN(PW,cow)(pw);
1114         if (!pw)
1115                 return isl_id_free(id);
1116
1117         space = FN(PW,get_space)(pw);
1118         space = isl_space_set_tuple_id(space, type, id);
1119
1120         return FN(PW,reset_space)(pw, space);
1121 }
1122
1123 __isl_give PW *FN(PW,set_dim_id)(__isl_take PW *pw,
1124         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
1125 {
1126         pw = FN(PW,cow)(pw);
1127         if (!pw)
1128                 return isl_id_free(id);
1129         pw->dim = isl_space_set_dim_id(pw->dim, type, pos, id);
1130         return FN(PW,reset_space)(pw, isl_space_copy(pw->dim));
1131 }
1132 #endif
1133
1134 int FN(PW,has_equal_space)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1135 {
1136         if (!pw1 || !pw2)
1137                 return -1;
1138
1139         return isl_space_is_equal(pw1->dim, pw2->dim);
1140 }
1141
1142 #ifndef NO_MORPH
1143 __isl_give PW *FN(PW,morph_domain)(__isl_take PW *pw,
1144         __isl_take isl_morph *morph)
1145 {
1146         int i;
1147         isl_ctx *ctx;
1148
1149         if (!pw || !morph)
1150                 goto error;
1151
1152         ctx = isl_space_get_ctx(pw->dim);
1153         isl_assert(ctx, isl_space_is_domain(morph->dom->dim, pw->dim),
1154                 goto error);
1155
1156         pw = FN(PW,cow)(pw);
1157         if (!pw)
1158                 goto error;
1159         pw->dim = isl_space_extend_domain_with_range(
1160                         isl_space_copy(morph->ran->dim), pw->dim);
1161         if (!pw->dim)
1162                 goto error;
1163
1164         for (i = 0; i < pw->n; ++i) {
1165                 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
1166                 if (!pw->p[i].set)
1167                         goto error;
1168                 pw->p[i].FIELD = FN(EL,morph_domain)(pw->p[i].FIELD,
1169                                                 isl_morph_copy(morph));
1170                 if (!pw->p[i].FIELD)
1171                         goto error;
1172         }
1173
1174         isl_morph_free(morph);
1175
1176         return pw;
1177 error:
1178         FN(PW,free)(pw);
1179         isl_morph_free(morph);
1180         return NULL;
1181 }
1182 #endif
1183
1184 int FN(PW,foreach_piece)(__isl_keep PW *pw,
1185         int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
1186         void *user)
1187 {
1188         int i;
1189
1190         if (!pw)
1191                 return -1;
1192
1193         for (i = 0; i < pw->n; ++i)
1194                 if (fn(isl_set_copy(pw->p[i].set),
1195                                 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
1196                         return -1;
1197
1198         return 0;
1199 }
1200
1201 #ifndef NO_LIFT
1202 static int any_divs(__isl_keep isl_set *set)
1203 {
1204         int i;
1205
1206         if (!set)
1207                 return -1;
1208
1209         for (i = 0; i < set->n; ++i)
1210                 if (set->p[i]->n_div > 0)
1211                         return 1;
1212
1213         return 0;
1214 }
1215
1216 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
1217         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1218                     void *user), void *user)
1219 {
1220         int i;
1221
1222         if (!set || !el)
1223                 goto error;
1224
1225         for (i = 0; i < set->n; ++i) {
1226                 isl_set *lift;
1227                 EL *copy;
1228
1229                 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
1230                 lift = isl_set_lift(lift);
1231
1232                 copy = FN(EL,copy)(el);
1233                 copy = FN(EL,lift)(copy, isl_set_get_space(lift));
1234
1235                 if (fn(lift, copy, user) < 0)
1236                         goto error;
1237         }
1238
1239         isl_set_free(set);
1240         FN(EL,free)(el);
1241
1242         return 0;
1243 error:
1244         isl_set_free(set);
1245         FN(EL,free)(el);
1246         return -1;
1247 }
1248
1249 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
1250         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1251                     void *user), void *user)
1252 {
1253         int i;
1254
1255         if (!pw)
1256                 return -1;
1257
1258         for (i = 0; i < pw->n; ++i) {
1259                 isl_set *set;
1260                 EL *el;
1261
1262                 set = isl_set_copy(pw->p[i].set);
1263                 el = FN(EL,copy)(pw->p[i].FIELD);
1264                 if (!any_divs(set)) {
1265                         if (fn(set, el, user) < 0)
1266                                 return -1;
1267                         continue;
1268                 }
1269                 if (foreach_lifted_subset(set, el, fn, user) < 0)
1270                         return -1;
1271         }
1272
1273         return 0;
1274 }
1275 #endif
1276
1277 #ifndef NO_MOVE_DIMS
1278 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
1279         enum isl_dim_type dst_type, unsigned dst_pos,
1280         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1281 {
1282         int i;
1283
1284         pw = FN(PW,cow)(pw);
1285         if (!pw)
1286                 return NULL;
1287
1288         pw->dim = isl_space_move_dims(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
1289         if (!pw->dim)
1290                 goto error;
1291
1292         for (i = 0; i < pw->n; ++i) {
1293                 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
1294                                         dst_type, dst_pos, src_type, src_pos, n);
1295                 if (!pw->p[i].FIELD)
1296                         goto error;
1297         }
1298
1299         if (dst_type == isl_dim_in)
1300                 dst_type = isl_dim_set;
1301         if (src_type == isl_dim_in)
1302                 src_type = isl_dim_set;
1303
1304         for (i = 0; i < pw->n; ++i) {
1305                 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
1306                                                 dst_type, dst_pos,
1307                                                 src_type, src_pos, n);
1308                 if (!pw->p[i].set)
1309                         goto error;
1310         }
1311
1312         return pw;
1313 error:
1314         FN(PW,free)(pw);
1315         return NULL;
1316 }
1317 #endif
1318
1319 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
1320 {
1321         int i;
1322
1323         if (isl_int_is_one(v))
1324                 return pw;
1325         if (pw && isl_int_is_zero(v)) {
1326                 PW *zero;
1327                 isl_space *dim = FN(PW,get_space)(pw);
1328 #ifdef HAS_TYPE
1329                 zero = FN(PW,ZERO)(dim, pw->type);
1330 #else
1331                 zero = FN(PW,ZERO)(dim);
1332 #endif
1333                 FN(PW,free)(pw);
1334                 return zero;
1335         }
1336         pw = FN(PW,cow)(pw);
1337         if (!pw)
1338                 return NULL;
1339         if (pw->n == 0)
1340                 return pw;
1341
1342 #ifdef HAS_TYPE
1343         if (isl_int_is_neg(v))
1344                 pw->type = isl_fold_type_negate(pw->type);
1345 #endif
1346         for (i = 0; i < pw->n; ++i) {
1347                 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);
1348                 if (!pw->p[i].FIELD)
1349                         goto error;
1350         }
1351
1352         return pw;
1353 error:
1354         FN(PW,free)(pw);
1355         return NULL;
1356 }
1357
1358 __isl_give PW *FN(PW,scale)(__isl_take PW *pw, isl_int v)
1359 {
1360         return FN(PW,mul_isl_int)(pw, v);
1361 }
1362
1363 static int FN(PW,qsort_set_cmp)(const void *p1, const void *p2)
1364 {
1365         const isl_set *set1 = *(const isl_set **)p1;
1366         const isl_set *set2 = *(const isl_set **)p2;
1367
1368         return isl_set_plain_cmp(set1, set2);
1369 }
1370
1371 /* We normalize in place, but if anything goes wrong we need
1372  * to return NULL, so we need to make sure we don't change the
1373  * meaning of any possible other copies of map.
1374  */
1375 __isl_give PW *FN(PW,normalize)(__isl_take PW *pw)
1376 {
1377         int i, j;
1378         isl_set *set;
1379
1380         if (!pw)
1381                 return NULL;
1382         for (i = 0; i < pw->n; ++i) {
1383                 set = isl_set_normalize(isl_set_copy(pw->p[i].set));
1384                 if (!set)
1385                         return FN(PW,free)(pw);
1386                 isl_set_free(pw->p[i].set);
1387                 pw->p[i].set = set;
1388         }
1389         qsort(pw->p, pw->n, sizeof(pw->p[0]), &FN(PW,qsort_set_cmp));
1390         for (i = pw->n - 1; i >= 1; --i) {
1391                 if (!isl_set_plain_is_equal(pw->p[i - 1].set, pw->p[i].set))
1392                         continue;
1393                 if (!FN(EL,plain_is_equal)(pw->p[i - 1].FIELD, pw->p[i].FIELD))
1394                         continue;
1395                 set = isl_set_union(isl_set_copy(pw->p[i - 1].set),
1396                                     isl_set_copy(pw->p[i].set));
1397                 if (!set)
1398                         return FN(PW,free)(pw);
1399                 isl_set_free(pw->p[i].set);
1400                 FN(EL,free)(pw->p[i].FIELD);
1401                 isl_set_free(pw->p[i - 1].set);
1402                 pw->p[i - 1].set = set;
1403                 for (j = i + 1; j < pw->n; ++j)
1404                         pw->p[j - 1] = pw->p[j];
1405                 pw->n--;
1406         }
1407
1408         return pw;
1409 }
1410
1411 /* Is pw1 obviously equal to pw2?
1412  * That is, do they have obviously identical cells and obviously identical
1413  * elements on each cell?
1414  */
1415 int FN(PW,plain_is_equal)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1416 {
1417         int i;
1418         int equal;
1419
1420         if (!pw1 || !pw2)
1421                 return -1;
1422
1423         if (pw1 == pw2)
1424                 return 1;
1425         if (!isl_space_is_equal(pw1->dim, pw2->dim))
1426                 return 0;
1427
1428         pw1 = FN(PW,copy)(pw1);
1429         pw2 = FN(PW,copy)(pw2);
1430         pw1 = FN(PW,normalize)(pw1);
1431         pw2 = FN(PW,normalize)(pw2);
1432         if (!pw1 || !pw2)
1433                 goto error;
1434
1435         equal = pw1->n == pw2->n;
1436         for (i = 0; equal && i < pw1->n; ++i) {
1437                 equal = isl_set_plain_is_equal(pw1->p[i].set, pw2->p[i].set);
1438                 if (equal < 0)
1439                         goto error;
1440                 if (!equal)
1441                         break;
1442                 equal = FN(EL,plain_is_equal)(pw1->p[i].FIELD, pw2->p[i].FIELD);
1443                 if (equal < 0)
1444                         goto error;
1445         }
1446
1447         FN(PW,free)(pw1);
1448         FN(PW,free)(pw2);
1449         return equal;
1450 error:
1451         FN(PW,free)(pw1);
1452         FN(PW,free)(pw2);
1453         return -1;
1454 }