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,union_add_aligned)(__isl_take PW *pw1,
 329         __isl_take PW *pw2)
 330 {
 331         int i, j, n;
 332         struct PW *res;
 333         isl_ctx *ctx;
 334         isl_set *set;
 335
 336         if (!pw1 || !pw2)
 337                 goto error;
 338
 339         ctx = isl_space_get_ctx(pw1->dim);
 340 #ifdef HAS_TYPE
 341         if (pw1->type != pw2->type)
 342                 isl_die(ctx, isl_error_invalid,
 343                         "fold types don't match", goto error);
 344 #endif
 345         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 346
 347         if (FN(PW,IS_ZERO)(pw1)) {
 348                 FN(PW,free)(pw1);
 349                 return pw2;
 350         }
 351
 352         if (FN(PW,IS_ZERO)(pw2)) {
 353                 FN(PW,free)(pw2);
 354                 return pw1;
 355         }
 356
 357         n = (pw1->n + 1) * (pw2->n + 1);
 358 #ifdef HAS_TYPE
 359         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), pw1->type, n);
 360 #else
 361         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), n);
 362 #endif
 363
 364         for (i = 0; i < pw1->n; ++i) {
 365                 set = isl_set_copy(pw1->p[i].set);
 366                 for (j = 0; j < pw2->n; ++j) {
 367                         struct isl_set *common;
 368                         EL *sum;
 369                         set = isl_set_subtract(set,
 370                                         isl_set_copy(pw2->p[j].set));
 371                         common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
 372                                                 isl_set_copy(pw2->p[j].set));
 373                         if (isl_set_plain_is_empty(common)) {
 374                                 isl_set_free(common);
 375                                 continue;
 376                         }
 377
 378                         sum = FN(EL,add_on_domain)(common,
 379                                                    FN(EL,copy)(pw1->p[i].FIELD),
 380                                                    FN(EL,copy)(pw2->p[j].FIELD));
 381
 382                         res = FN(PW,add_piece)(res, common, sum);
 383                 }
 384                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw1->p[i].FIELD));
 385         }
 386
 387         for (j = 0; j < pw2->n; ++j) {
 388                 set = isl_set_copy(pw2->p[j].set);
 389                 for (i = 0; i < pw1->n; ++i)
 390                         set = isl_set_subtract(set,
 391                                         isl_set_copy(pw1->p[i].set));
 392                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw2->p[j].FIELD));
 393         }
 394
 395         FN(PW,free)(pw1);
 396         FN(PW,free)(pw2);
 397
 398         return res;
 399 error:
 400         FN(PW,free)(pw1);
 401         FN(PW,free)(pw2);
 402         return NULL;
 403 }
 404
 405 /* Private version of "union_add".  For isl_pw_qpolynomial and
 406  * isl_pw_qpolynomial_fold, we prefer to simply call it "add".
 407  */
 408 static __isl_give PW *FN(PW,union_add_)(__isl_take PW *pw1, __isl_take PW *pw2)
 409 {
 410         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
 411                                                 &FN(PW,union_add_aligned));
 412 }
 413
 414 /* Make sure "pw" has room for at least "n" more pieces.
 415  *
 416  * If there is only one reference to pw, we extend it in place.
 417  * Otherwise, we create a new PW and copy the pieces.
 418  */
 419 static __isl_give PW *FN(PW,grow)(__isl_take PW *pw, int n)
 420 {
 421         int i;
 422         isl_ctx *ctx;
 423         PW *res;
 424
 425         if (!pw)
 426                 return NULL;
 427         if (pw->n + n <= pw->size)
 428                 return pw;
 429         ctx = FN(PW,get_ctx)(pw);
 430         n += pw->n;
 431         if (pw->ref == 1) {
 432                 res = isl_realloc(ctx, pw, struct PW,
 433                             sizeof(struct PW) + (n - 1) * sizeof(S(PW,piece)));
 434                 if (!res)
 435                         return FN(PW,free)(pw);
 436                 res->size = n;
 437                 return res;
 438         }
 439 #ifdef HAS_TYPE
 440         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->type, n);
 441 #else
 442         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), n);
 443 #endif
 444         if (!res)
 445                 return FN(PW,free)(pw);
 446         for (i = 0; i < pw->n; ++i)
 447                 res = FN(PW,add_piece)(res, isl_set_copy(pw->p[i].set),
 448                                             FN(EL,copy)(pw->p[i].FIELD));
 449         FN(PW,free)(pw);
 450         return res;
 451 }
 452
 453 static __isl_give PW *FN(PW,add_disjoint_aligned)(__isl_take PW *pw1,
 454         __isl_take PW *pw2)
 455 {
 456         int i;
 457         isl_ctx *ctx;
 458
 459         if (!pw1 || !pw2)
 460                 goto error;
 461
 462         if (pw1->size < pw1->n + pw2->n && pw1->n < pw2->n)
 463                 return FN(PW,add_disjoint_aligned)(pw2, pw1);
 464
 465         ctx = isl_space_get_ctx(pw1->dim);
 466 #ifdef HAS_TYPE
 467         if (pw1->type != pw2->type)
 468                 isl_die(ctx, isl_error_invalid,
 469                         "fold types don't match", goto error);
 470 #endif
 471         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 472
 473         if (FN(PW,IS_ZERO)(pw1)) {
 474                 FN(PW,free)(pw1);
 475                 return pw2;
 476         }
 477
 478         if (FN(PW,IS_ZERO)(pw2)) {
 479                 FN(PW,free)(pw2);
 480                 return pw1;
 481         }
 482
 483         pw1 = FN(PW,grow)(pw1, pw2->n);
 484         if (!pw1)
 485                 goto error;
 486
 487         for (i = 0; i < pw2->n; ++i)
 488                 pw1 = FN(PW,add_piece)(pw1,
 489                                 isl_set_copy(pw2->p[i].set),
 490                                 FN(EL,copy)(pw2->p[i].FIELD));
 491
 492         FN(PW,free)(pw2);
 493
 494         return pw1;
 495 error:
 496         FN(PW,free)(pw1);
 497         FN(PW,free)(pw2);
 498         return NULL;
 499 }
 500
 501 __isl_give PW *FN(PW,add_disjoint)(__isl_take PW *pw1, __isl_take PW *pw2)
 502 {
 503         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
 504                                                 &FN(PW,add_disjoint_aligned));
 505 }
 506
 507 /* This function is currently only used from isl_aff.c
 508  */
 509 static __isl_give PW *FN(PW,on_shared_domain)(__isl_take PW *pw1,
 510         __isl_take PW *pw2,
 511         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 512         __attribute__ ((unused));
 513
 514 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
 515  */
 516 static __isl_give PW *FN(PW,on_shared_domain)(__isl_take PW *pw1,
 517         __isl_take PW *pw2,
 518         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 519 {
 520         int i, j, n;
 521         PW *res;
 522
 523         if (!pw1 || !pw2)
 524                 goto error;
 525
 526         n = pw1->n * pw2->n;
 527 #ifdef HAS_TYPE
 528         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), pw1->type, n);
 529 #else
 530         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), n);
 531 #endif
 532
 533         for (i = 0; i < pw1->n; ++i) {
 534                 for (j = 0; j < pw2->n; ++j) {
 535                         isl_set *common;
 536                         EL *res_ij;
 537                         common = isl_set_intersect(
 538                                         isl_set_copy(pw1->p[i].set),
 539                                         isl_set_copy(pw2->p[j].set));
 540                         if (isl_set_plain_is_empty(common)) {
 541                                 isl_set_free(common);
 542                                 continue;
 543                         }
 544
 545                         res_ij = fn(FN(EL,copy)(pw1->p[i].FIELD),
 546                                     FN(EL,copy)(pw2->p[j].FIELD));
 547
 548                         res = FN(PW,add_piece)(res, common, res_ij);
 549                 }
 550         }
 551
 552         FN(PW,free)(pw1);
 553         FN(PW,free)(pw2);
 554         return res;
 555 error:
 556         FN(PW,free)(pw1);
 557         FN(PW,free)(pw2);
 558         return NULL;
 559 }
 560
 561 #ifndef NO_NEG
 562 __isl_give PW *FN(PW,neg)(__isl_take PW *pw)
 563 {
 564         int i;
 565
 566         if (!pw)
 567                 return NULL;
 568
 569         if (FN(PW,IS_ZERO)(pw))
 570                 return pw;
 571
 572         pw = FN(PW,cow)(pw);
 573         if (!pw)
 574                 return NULL;
 575
 576         for (i = 0; i < pw->n; ++i) {
 577                 pw->p[i].FIELD = FN(EL,neg)(pw->p[i].FIELD);
 578                 if (!pw->p[i].FIELD)
 579                         return FN(PW,free)(pw);
 580         }
 581
 582         return pw;
 583 }
 584
 585 __isl_give PW *FN(PW,sub)(__isl_take PW *pw1, __isl_take PW *pw2)
 586 {
 587         return FN(PW,add)(pw1, FN(PW,neg)(pw2));
 588 }
 589 #endif
 590
 591 #ifndef NO_EVAL
 592 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
 593         __isl_take isl_point *pnt)
 594 {
 595         int i;
 596         int found = 0;
 597         isl_ctx *ctx;
 598         isl_space *pnt_dim = NULL;
 599         isl_qpolynomial *qp;
 600
 601         if (!pw || !pnt)
 602                 goto error;
 603         ctx = isl_point_get_ctx(pnt);
 604         pnt_dim = isl_point_get_space(pnt);
 605         isl_assert(ctx, isl_space_is_domain(pnt_dim, pw->dim), goto error);
 606
 607         for (i = 0; i < pw->n; ++i) {
 608                 found = isl_set_contains_point(pw->p[i].set, pnt);
 609                 if (found < 0)
 610                         goto error;
 611                 if (found)
 612                         break;
 613         }
 614         if (found)
 615                 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
 616                                             isl_point_copy(pnt));
 617         else
 618                 qp = isl_qpolynomial_zero_on_domain(FN(PW,get_domain_space)(pw));
 619         FN(PW,free)(pw);
 620         isl_space_free(pnt_dim);
 621         isl_point_free(pnt);
 622         return qp;
 623 error:
 624         FN(PW,free)(pw);
 625         isl_space_free(pnt_dim);
 626         isl_point_free(pnt);
 627         return NULL;
 628 }
 629 #endif
 630
 631 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
 632 {
 633         int i;
 634         isl_set *dom;
 635
 636         if (!pw)
 637                 return NULL;
 638
 639         dom = isl_set_empty(FN(PW,get_domain_space)(pw));
 640         for (i = 0; i < pw->n; ++i)
 641                 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
 642
 643         FN(PW,free)(pw);
 644
 645         return dom;
 646 }
 647
 648 /* Restrict the domain of "pw" by combining each cell
 649  * with "set" through a call to "fn", where "fn" may be
 650  * isl_set_intersect or isl_set_intersect_params.
 651  */
 652 static __isl_give PW *FN(PW,intersect_aligned)(__isl_take PW *pw,
 653         __isl_take isl_set *set,
 654         __isl_give isl_set *(*fn)(__isl_take isl_set *set1,
 655                                     __isl_take isl_set *set2))
 656 {
 657         int i;
 658
 659         if (!pw || !set)
 660                 goto error;
 661
 662         if (pw->n == 0) {
 663                 isl_set_free(set);
 664                 return pw;
 665         }
 666
 667         pw = FN(PW,cow)(pw);
 668         if (!pw)
 669                 goto error;
 670
 671         for (i = pw->n - 1; i >= 0; --i) {
 672                 isl_basic_set *aff;
 673                 pw->p[i].set = fn(pw->p[i].set, isl_set_copy(set));
 674                 if (!pw->p[i].set)
 675                         goto error;
 676                 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
 677                 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
 678                                                                 aff);
 679                 if (!pw->p[i].FIELD)
 680                         goto error;
 681                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 682                         isl_set_free(pw->p[i].set);
 683                         FN(EL,free)(pw->p[i].FIELD);
 684                         if (i != pw->n - 1)
 685                                 pw->p[i] = pw->p[pw->n - 1];
 686                         pw->n--;
 687                 }
 688         }
 689
 690         isl_set_free(set);
 691         return pw;
 692 error:
 693         isl_set_free(set);
 694         FN(PW,free)(pw);
 695         return NULL;
 696 }
 697
 698 static __isl_give PW *FN(PW,intersect_domain_aligned)(__isl_take PW *pw,
 699         __isl_take isl_set *set)
 700 {
 701         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect);
 702 }
 703
 704 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw,
 705         __isl_take isl_set *context)
 706 {
 707         return FN(PW,align_params_pw_set_and)(pw, context,
 708                                         &FN(PW,intersect_domain_aligned));
 709 }
 710
 711 static __isl_give PW *FN(PW,intersect_params_aligned)(__isl_take PW *pw,
 712         __isl_take isl_set *set)
 713 {
 714         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect_params);
 715 }
 716
 717 /* Intersect the domain of "pw" with the parameter domain "context".
 718  */
 719 __isl_give PW *FN(PW,intersect_params)(__isl_take PW *pw,
 720         __isl_take isl_set *context)
 721 {
 722         return FN(PW,align_params_pw_set_and)(pw, context,
 723                                         &FN(PW,intersect_params_aligned));
 724 }
 725
 726 static __isl_give PW *FN(PW,gist_aligned)(__isl_take PW *pw,
 727         __isl_take isl_set *context,
 728         __isl_give EL *(*fn_el)(__isl_take EL *el,
 729                                     __isl_take isl_set *set),
 730         __isl_give isl_set *(*fn_dom)(__isl_take isl_set *set,
 731                                     __isl_take isl_basic_set *bset))
 732 {
 733         int i;
 734         isl_basic_set *hull = NULL;
 735
 736         if (!pw || !context)
 737                 goto error;
 738
 739         if (pw->n == 0) {
 740                 isl_set_free(context);
 741                 return pw;
 742         }
 743
 744         if (!isl_space_match(pw->dim, isl_dim_param,
 745                                 context->dim, isl_dim_param)) {
 746                 pw = FN(PW,align_params)(pw, isl_set_get_space(context));
 747                 context = isl_set_align_params(context, FN(PW,get_space)(pw));
 748         }
 749
 750         context = isl_set_compute_divs(context);
 751         hull = isl_set_simple_hull(isl_set_copy(context));
 752
 753         pw = FN(PW,cow)(pw);
 754         if (!pw)
 755                 goto error;
 756
 757         for (i = pw->n - 1; i >= 0; --i) {
 758                 pw->p[i].set = isl_set_intersect(pw->p[i].set,
 759                                                  isl_set_copy(context));
 760                 if (!pw->p[i].set)
 761                         goto error;
 762                 pw->p[i].FIELD = fn_el(pw->p[i].FIELD,
 763                                              isl_set_copy(pw->p[i].set));
 764                 pw->p[i].set = fn_dom(pw->p[i].set, isl_basic_set_copy(hull));
 765                 if (!pw->p[i].set)
 766                         goto error;
 767                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 768                         isl_set_free(pw->p[i].set);
 769                         FN(EL,free)(pw->p[i].FIELD);
 770                         if (i != pw->n - 1)
 771                                 pw->p[i] = pw->p[pw->n - 1];
 772                         pw->n--;
 773                 }
 774         }
 775
 776         isl_basic_set_free(hull);
 777         isl_set_free(context);
 778
 779         return pw;
 780 error:
 781         FN(PW,free)(pw);
 782         isl_basic_set_free(hull);
 783         isl_set_free(context);
 784         return NULL;
 785 }
 786
 787 static __isl_give PW *FN(PW,gist_domain_aligned)(__isl_take PW *pw,
 788         __isl_take isl_set *set)
 789 {
 790         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist),
 791                                         &isl_set_gist_basic_set);
 792 }
 793
 794 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
 795 {
 796         return FN(PW,align_params_pw_set_and)(pw, context,
 797                                                 &FN(PW,gist_domain_aligned));
 798 }
 799
 800 static __isl_give PW *FN(PW,gist_params_aligned)(__isl_take PW *pw,
 801         __isl_take isl_set *set)
 802 {
 803         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist_params),
 804                                         &isl_set_gist_params_basic_set);
 805 }
 806
 807 __isl_give PW *FN(PW,gist_params)(__isl_take PW *pw,
 808         __isl_take isl_set *context)
 809 {
 810         return FN(PW,align_params_pw_set_and)(pw, context,
 811                                                 &FN(PW,gist_params_aligned));
 812 }
 813
 814 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
 815 {
 816         int i, j;
 817
 818         if (!pw)
 819                 return NULL;
 820         if (pw->n == 0)
 821                 return pw;
 822
 823         for (i = pw->n - 1; i >= 0; --i) {
 824                 for (j = i - 1; j >= 0; --j) {
 825                         if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
 826                                                         pw->p[j].FIELD))
 827                                 continue;
 828                         pw->p[j].set = isl_set_union(pw->p[j].set,
 829                                                         pw->p[i].set);
 830                         FN(EL,free)(pw->p[i].FIELD);
 831                         if (i != pw->n - 1)
 832                                 pw->p[i] = pw->p[pw->n - 1];
 833                         pw->n--;
 834                         break;
 835                 }
 836                 if (j >= 0)
 837                         continue;
 838                 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
 839                 if (!pw->p[i].set)
 840                         goto error;
 841         }
 842
 843         return pw;
 844 error:
 845         FN(PW,free)(pw);
 846         return NULL;
 847 }
 848
 849 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
 850 {
 851         return pw ? isl_space_get_ctx(pw->dim) : NULL;
 852 }
 853
 854 #ifndef NO_INVOLVES_DIMS
 855 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
 856         unsigned first, unsigned n)
 857 {
 858         int i;
 859         enum isl_dim_type set_type;
 860
 861         if (!pw)
 862                 return -1;
 863         if (pw->n == 0 || n == 0)
 864                 return 0;
 865
 866         set_type = type == isl_dim_in ? isl_dim_set : type;
 867
 868         for (i = 0; i < pw->n; ++i) {
 869                 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
 870                                                         type, first, n);
 871                 if (involves < 0 || involves)
 872                         return involves;
 873                 involves = isl_set_involves_dims(pw->p[i].set,
 874                                                         set_type, first, n);
 875                 if (involves < 0 || involves)
 876                         return involves;
 877         }
 878         return 0;
 879 }
 880 #endif
 881
 882 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
 883         enum isl_dim_type type, unsigned pos, const char *s)
 884 {
 885         int i;
 886         enum isl_dim_type set_type;
 887
 888         pw = FN(PW,cow)(pw);
 889         if (!pw)
 890                 return NULL;
 891
 892         set_type = type == isl_dim_in ? isl_dim_set : type;
 893
 894         pw->dim = isl_space_set_dim_name(pw->dim, type, pos, s);
 895         if (!pw->dim)
 896                 goto error;
 897
 898         for (i = 0; i < pw->n; ++i) {
 899                 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set,
 900                                                         set_type, pos, s);
 901                 if (!pw->p[i].set)
 902                         goto error;
 903                 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
 904                 if (!pw->p[i].FIELD)
 905                         goto error;
 906         }
 907
 908         return pw;
 909 error:
 910         FN(PW,free)(pw);
 911         return NULL;
 912 }
 913
 914 #ifndef NO_DROP_DIMS
 915 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
 916         enum isl_dim_type type, unsigned first, unsigned n)
 917 {
 918         int i;
 919         enum isl_dim_type set_type;
 920
 921         if (!pw)
 922                 return NULL;
 923         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 924                 return pw;
 925
 926         set_type = type == isl_dim_in ? isl_dim_set : type;
 927
 928         pw = FN(PW,cow)(pw);
 929         if (!pw)
 930                 return NULL;
 931         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 932         if (!pw->dim)
 933                 goto error;
 934         for (i = 0; i < pw->n; ++i) {
 935                 pw->p[i].set = isl_set_drop(pw->p[i].set, set_type, first, n);
 936                 if (!pw->p[i].set)
 937                         goto error;
 938                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 939                 if (!pw->p[i].FIELD)
 940                         goto error;
 941         }
 942
 943         return pw;
 944 error:
 945         FN(PW,free)(pw);
 946         return NULL;
 947 }
 948
 949 /* This function is very similar to drop_dims.
 950  * The only difference is that the cells may still involve
 951  * the specified dimensions.  They are removed using
 952  * isl_set_project_out instead of isl_set_drop.
 953  */
 954 __isl_give PW *FN(PW,project_out)(__isl_take PW *pw,
 955         enum isl_dim_type type, unsigned first, unsigned n)
 956 {
 957         int i;
 958         enum isl_dim_type set_type;
 959
 960         if (!pw)
 961                 return NULL;
 962         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 963                 return pw;
 964
 965         set_type = type == isl_dim_in ? isl_dim_set : type;
 966
 967         pw = FN(PW,cow)(pw);
 968         if (!pw)
 969                 return NULL;
 970         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 971         if (!pw->dim)
 972                 goto error;
 973         for (i = 0; i < pw->n; ++i) {
 974                 pw->p[i].set = isl_set_project_out(pw->p[i].set,
 975                                                         set_type, first, n);
 976                 if (!pw->p[i].set)
 977                         goto error;
 978                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 979                 if (!pw->p[i].FIELD)
 980                         goto error;
 981         }
 982
 983         return pw;
 984 error:
 985         FN(PW,free)(pw);
 986         return NULL;
 987 }
 988
 989 /* Project the domain of pw onto its parameter space.
 990  */
 991 __isl_give PW *FN(PW,project_domain_on_params)(__isl_take PW *pw)
 992 {
 993         isl_space *space;
 994         unsigned n;
 995
 996         n = FN(PW,dim)(pw, isl_dim_in);
 997         pw = FN(PW,project_out)(pw, isl_dim_in, 0, n);
 998         space = FN(PW,get_domain_space)(pw);
 999         space = isl_space_params(space);
1000         pw = FN(PW,reset_domain_space)(pw, space);
1001         return pw;
1002 }
1003 #endif
1004
1005 #ifndef NO_INSERT_DIMS
1006 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
1007         unsigned first, unsigned n)
1008 {
1009         int i;
1010         enum isl_dim_type set_type;
1011
1012         if (!pw)
1013                 return NULL;
1014         if (n == 0 && !isl_space_is_named_or_nested(pw->dim, type))
1015                 return pw;
1016
1017         set_type = type == isl_dim_in ? isl_dim_set : type;
1018
1019         pw = FN(PW,cow)(pw);
1020         if (!pw)
1021                 return NULL;
1022
1023         pw->dim = isl_space_insert_dims(pw->dim, type, first, n);
1024         if (!pw->dim)
1025                 goto error;
1026
1027         for (i = 0; i < pw->n; ++i) {
1028                 pw->p[i].set = isl_set_insert_dims(pw->p[i].set,
1029                                                             set_type, first, n);
1030                 if (!pw->p[i].set)
1031                         goto error;
1032                 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
1033                                                                 type, first, n);
1034                 if (!pw->p[i].FIELD)
1035                         goto error;
1036         }
1037
1038         return pw;
1039 error:
1040         FN(PW,free)(pw);
1041         return NULL;
1042 }
1043 #endif
1044
1045 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
1046         enum isl_dim_type type, unsigned pos, isl_int v)
1047 {
1048         int i;
1049
1050         if (!pw)
1051                 return NULL;
1052
1053         if (type == isl_dim_in)
1054                 type = isl_dim_set;
1055
1056         pw = FN(PW,cow)(pw);
1057         if (!pw)
1058                 return NULL;
1059         for (i = 0; i < pw->n; ++i) {
1060                 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
1061                 if (!pw->p[i].set)
1062                         goto error;
1063         }
1064
1065         return pw;
1066 error:
1067         FN(PW,free)(pw);
1068         return NULL;
1069 }
1070
1071 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
1072 {
1073         return pw ? isl_space_dim(pw->dim, type) : 0;
1074 }
1075
1076 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
1077         enum isl_dim_type type, unsigned first, unsigned n)
1078 {
1079         int i;
1080
1081         if (!pw)
1082                 return NULL;
1083         if (n == 0)
1084                 return pw;
1085
1086         if (type == isl_dim_in)
1087                 type = isl_dim_set;
1088
1089         pw = FN(PW,cow)(pw);
1090         if (!pw)
1091                 return NULL;
1092         if (!pw->dim)
1093                 goto error;
1094         for (i = 0; i < pw->n; ++i) {
1095                 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
1096                 if (!pw->p[i].set)
1097                         goto error;
1098         }
1099
1100         return pw;
1101 error:
1102         FN(PW,free)(pw);
1103         return NULL;
1104 }
1105
1106 #ifndef NO_OPT
1107 /* Compute the maximal value attained by the piecewise quasipolynomial
1108  * on its domain or zero if the domain is empty.
1109  * In the worst case, the domain is scanned completely,
1110  * so the domain is assumed to be bounded.
1111  */
1112 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
1113 {
1114         int i;
1115         isl_qpolynomial *opt;
1116
1117         if (!pw)
1118                 return NULL;
1119
1120         if (pw->n == 0) {
1121                 isl_space *dim = isl_space_copy(pw->dim);
1122                 FN(PW,free)(pw);
1123                 return isl_qpolynomial_zero_on_domain(isl_space_domain(dim));
1124         }
1125
1126         opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
1127                                         isl_set_copy(pw->p[0].set), max);
1128         for (i = 1; i < pw->n; ++i) {
1129                 isl_qpolynomial *opt_i;
1130                 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
1131                                                 isl_set_copy(pw->p[i].set), max);
1132                 if (max)
1133                         opt = isl_qpolynomial_max_cst(opt, opt_i);
1134                 else
1135                         opt = isl_qpolynomial_min_cst(opt, opt_i);
1136         }
1137
1138         FN(PW,free)(pw);
1139         return opt;
1140 }
1141
1142 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
1143 {
1144         return FN(PW,opt)(pw, 1);
1145 }
1146
1147 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
1148 {
1149         return FN(PW,opt)(pw, 0);
1150 }
1151 #endif
1152
1153 __isl_give isl_space *FN(PW,get_space)(__isl_keep PW *pw)
1154 {
1155         return pw ? isl_space_copy(pw->dim) : NULL;
1156 }
1157
1158 __isl_give isl_space *FN(PW,get_domain_space)(__isl_keep PW *pw)
1159 {
1160         return pw ? isl_space_domain(isl_space_copy(pw->dim)) : NULL;
1161 }
1162
1163 #ifndef NO_RESET_DIM
1164 /* Reset the space of "pw".  Since we don't know if the elements
1165  * represent the spaces themselves or their domains, we pass along
1166  * both when we call their reset_space_and_domain.
1167  */
1168 static __isl_give PW *FN(PW,reset_space_and_domain)(__isl_take PW *pw,
1169         __isl_take isl_space *space, __isl_take isl_space *domain)
1170 {
1171         int i;
1172
1173         pw = FN(PW,cow)(pw);
1174         if (!pw || !space || !domain)
1175                 goto error;
1176
1177         for (i = 0; i < pw->n; ++i) {
1178                 pw->p[i].set = isl_set_reset_space(pw->p[i].set,
1179                                                  isl_space_copy(domain));
1180                 if (!pw->p[i].set)
1181                         goto error;
1182                 pw->p[i].FIELD = FN(EL,reset_space_and_domain)(pw->p[i].FIELD,
1183                               isl_space_copy(space), isl_space_copy(domain));
1184                 if (!pw->p[i].FIELD)
1185                         goto error;
1186         }
1187
1188         isl_space_free(domain);
1189
1190         isl_space_free(pw->dim);
1191         pw->dim = space;
1192
1193         return pw;
1194 error:
1195         isl_space_free(domain);
1196         isl_space_free(space);
1197         FN(PW,free)(pw);
1198         return NULL;
1199 }
1200
1201 __isl_give PW *FN(PW,reset_domain_space)(__isl_take PW *pw,
1202         __isl_take isl_space *domain)
1203 {
1204         isl_space *space;
1205
1206         space = isl_space_extend_domain_with_range(isl_space_copy(domain),
1207                                                    FN(PW,get_space)(pw));
1208         return FN(PW,reset_space_and_domain)(pw, space, domain);
1209 }
1210
1211 __isl_give PW *FN(PW,reset_space)(__isl_take PW *pw, __isl_take isl_space *dim)
1212 {
1213         isl_space *domain;
1214
1215         domain = isl_space_domain(isl_space_copy(dim));
1216         return FN(PW,reset_space_and_domain)(pw, dim, domain);
1217 }
1218
1219 __isl_give PW *FN(PW,set_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type,
1220         __isl_take isl_id *id)
1221 {
1222         isl_space *space;
1223
1224         pw = FN(PW,cow)(pw);
1225         if (!pw)
1226                 return isl_id_free(id);
1227
1228         space = FN(PW,get_space)(pw);
1229         space = isl_space_set_tuple_id(space, type, id);
1230
1231         return FN(PW,reset_space)(pw, space);
1232 }
1233
1234 __isl_give PW *FN(PW,set_dim_id)(__isl_take PW *pw,
1235         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
1236 {
1237         pw = FN(PW,cow)(pw);
1238         if (!pw)
1239                 return isl_id_free(id);
1240         pw->dim = isl_space_set_dim_id(pw->dim, type, pos, id);
1241         return FN(PW,reset_space)(pw, isl_space_copy(pw->dim));
1242 }
1243 #endif
1244
1245 int FN(PW,has_equal_space)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1246 {
1247         if (!pw1 || !pw2)
1248                 return -1;
1249
1250         return isl_space_is_equal(pw1->dim, pw2->dim);
1251 }
1252
1253 #ifndef NO_MORPH
1254 __isl_give PW *FN(PW,morph_domain)(__isl_take PW *pw,
1255         __isl_take isl_morph *morph)
1256 {
1257         int i;
1258         isl_ctx *ctx;
1259
1260         if (!pw || !morph)
1261                 goto error;
1262
1263         ctx = isl_space_get_ctx(pw->dim);
1264         isl_assert(ctx, isl_space_is_domain(morph->dom->dim, pw->dim),
1265                 goto error);
1266
1267         pw = FN(PW,cow)(pw);
1268         if (!pw)
1269                 goto error;
1270         pw->dim = isl_space_extend_domain_with_range(
1271                         isl_space_copy(morph->ran->dim), pw->dim);
1272         if (!pw->dim)
1273                 goto error;
1274
1275         for (i = 0; i < pw->n; ++i) {
1276                 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
1277                 if (!pw->p[i].set)
1278                         goto error;
1279                 pw->p[i].FIELD = FN(EL,morph_domain)(pw->p[i].FIELD,
1280                                                 isl_morph_copy(morph));
1281                 if (!pw->p[i].FIELD)
1282                         goto error;
1283         }
1284
1285         isl_morph_free(morph);
1286
1287         return pw;
1288 error:
1289         FN(PW,free)(pw);
1290         isl_morph_free(morph);
1291         return NULL;
1292 }
1293 #endif
1294
1295 int FN(PW,foreach_piece)(__isl_keep PW *pw,
1296         int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
1297         void *user)
1298 {
1299         int i;
1300
1301         if (!pw)
1302                 return -1;
1303
1304         for (i = 0; i < pw->n; ++i)
1305                 if (fn(isl_set_copy(pw->p[i].set),
1306                                 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
1307                         return -1;
1308
1309         return 0;
1310 }
1311
1312 #ifndef NO_LIFT
1313 static int any_divs(__isl_keep isl_set *set)
1314 {
1315         int i;
1316
1317         if (!set)
1318                 return -1;
1319
1320         for (i = 0; i < set->n; ++i)
1321                 if (set->p[i]->n_div > 0)
1322                         return 1;
1323
1324         return 0;
1325 }
1326
1327 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
1328         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1329                     void *user), void *user)
1330 {
1331         int i;
1332
1333         if (!set || !el)
1334                 goto error;
1335
1336         for (i = 0; i < set->n; ++i) {
1337                 isl_set *lift;
1338                 EL *copy;
1339
1340                 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
1341                 lift = isl_set_lift(lift);
1342
1343                 copy = FN(EL,copy)(el);
1344                 copy = FN(EL,lift)(copy, isl_set_get_space(lift));
1345
1346                 if (fn(lift, copy, user) < 0)
1347                         goto error;
1348         }
1349
1350         isl_set_free(set);
1351         FN(EL,free)(el);
1352
1353         return 0;
1354 error:
1355         isl_set_free(set);
1356         FN(EL,free)(el);
1357         return -1;
1358 }
1359
1360 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
1361         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1362                     void *user), void *user)
1363 {
1364         int i;
1365
1366         if (!pw)
1367                 return -1;
1368
1369         for (i = 0; i < pw->n; ++i) {
1370                 isl_set *set;
1371                 EL *el;
1372
1373                 set = isl_set_copy(pw->p[i].set);
1374                 el = FN(EL,copy)(pw->p[i].FIELD);
1375                 if (!any_divs(set)) {
1376                         if (fn(set, el, user) < 0)
1377                                 return -1;
1378                         continue;
1379                 }
1380                 if (foreach_lifted_subset(set, el, fn, user) < 0)
1381                         return -1;
1382         }
1383
1384         return 0;
1385 }
1386 #endif
1387
1388 #ifndef NO_MOVE_DIMS
1389 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
1390         enum isl_dim_type dst_type, unsigned dst_pos,
1391         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1392 {
1393         int i;
1394
1395         pw = FN(PW,cow)(pw);
1396         if (!pw)
1397                 return NULL;
1398
1399         pw->dim = isl_space_move_dims(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
1400         if (!pw->dim)
1401                 goto error;
1402
1403         for (i = 0; i < pw->n; ++i) {
1404                 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
1405                                         dst_type, dst_pos, src_type, src_pos, n);
1406                 if (!pw->p[i].FIELD)
1407                         goto error;
1408         }
1409
1410         if (dst_type == isl_dim_in)
1411                 dst_type = isl_dim_set;
1412         if (src_type == isl_dim_in)
1413                 src_type = isl_dim_set;
1414
1415         for (i = 0; i < pw->n; ++i) {
1416                 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
1417                                                 dst_type, dst_pos,
1418                                                 src_type, src_pos, n);
1419                 if (!pw->p[i].set)
1420                         goto error;
1421         }
1422
1423         return pw;
1424 error:
1425         FN(PW,free)(pw);
1426         return NULL;
1427 }
1428 #endif
1429
1430 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
1431 {
1432         int i;
1433
1434         if (isl_int_is_one(v))
1435                 return pw;
1436         if (pw && isl_int_is_zero(v)) {
1437                 PW *zero;
1438                 isl_space *dim = FN(PW,get_space)(pw);
1439 #ifdef HAS_TYPE
1440                 zero = FN(PW,ZERO)(dim, pw->type);
1441 #else
1442                 zero = FN(PW,ZERO)(dim);
1443 #endif
1444                 FN(PW,free)(pw);
1445                 return zero;
1446         }
1447         pw = FN(PW,cow)(pw);
1448         if (!pw)
1449                 return NULL;
1450         if (pw->n == 0)
1451                 return pw;
1452
1453 #ifdef HAS_TYPE
1454         if (isl_int_is_neg(v))
1455                 pw->type = isl_fold_type_negate(pw->type);
1456 #endif
1457         for (i = 0; i < pw->n; ++i) {
1458                 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);
1459                 if (!pw->p[i].FIELD)
1460                         goto error;
1461         }
1462
1463         return pw;
1464 error:
1465         FN(PW,free)(pw);
1466         return NULL;
1467 }
1468
1469 __isl_give PW *FN(PW,scale)(__isl_take PW *pw, isl_int v)
1470 {
1471         return FN(PW,mul_isl_int)(pw, v);
1472 }
1473
1474 static int FN(PW,qsort_set_cmp)(const void *p1, const void *p2)
1475 {
1476         const isl_set *set1 = *(const isl_set **)p1;
1477         const isl_set *set2 = *(const isl_set **)p2;
1478
1479         return isl_set_plain_cmp(set1, set2);
1480 }
1481
1482 /* We normalize in place, but if anything goes wrong we need
1483  * to return NULL, so we need to make sure we don't change the
1484  * meaning of any possible other copies of map.
1485  */
1486 __isl_give PW *FN(PW,normalize)(__isl_take PW *pw)
1487 {
1488         int i, j;
1489         isl_set *set;
1490
1491         if (!pw)
1492                 return NULL;
1493         for (i = 0; i < pw->n; ++i) {
1494                 set = isl_set_normalize(isl_set_copy(pw->p[i].set));
1495                 if (!set)
1496                         return FN(PW,free)(pw);
1497                 isl_set_free(pw->p[i].set);
1498                 pw->p[i].set = set;
1499         }
1500         qsort(pw->p, pw->n, sizeof(pw->p[0]), &FN(PW,qsort_set_cmp));
1501         for (i = pw->n - 1; i >= 1; --i) {
1502                 if (!isl_set_plain_is_equal(pw->p[i - 1].set, pw->p[i].set))
1503                         continue;
1504                 if (!FN(EL,plain_is_equal)(pw->p[i - 1].FIELD, pw->p[i].FIELD))
1505                         continue;
1506                 set = isl_set_union(isl_set_copy(pw->p[i - 1].set),
1507                                     isl_set_copy(pw->p[i].set));
1508                 if (!set)
1509                         return FN(PW,free)(pw);
1510                 isl_set_free(pw->p[i].set);
1511                 FN(EL,free)(pw->p[i].FIELD);
1512                 isl_set_free(pw->p[i - 1].set);
1513                 pw->p[i - 1].set = set;
1514                 for (j = i + 1; j < pw->n; ++j)
1515                         pw->p[j - 1] = pw->p[j];
1516                 pw->n--;
1517         }
1518
1519         return pw;
1520 }
1521
1522 /* Is pw1 obviously equal to pw2?
1523  * That is, do they have obviously identical cells and obviously identical
1524  * elements on each cell?
1525  */
1526 int FN(PW,plain_is_equal)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1527 {
1528         int i;
1529         int equal;
1530
1531         if (!pw1 || !pw2)
1532                 return -1;
1533
1534         if (pw1 == pw2)
1535                 return 1;
1536         if (!isl_space_is_equal(pw1->dim, pw2->dim))
1537                 return 0;
1538
1539         pw1 = FN(PW,copy)(pw1);
1540         pw2 = FN(PW,copy)(pw2);
1541         pw1 = FN(PW,normalize)(pw1);
1542         pw2 = FN(PW,normalize)(pw2);
1543         if (!pw1 || !pw2)
1544                 goto error;
1545
1546         equal = pw1->n == pw2->n;
1547         for (i = 0; equal && i < pw1->n; ++i) {
1548                 equal = isl_set_plain_is_equal(pw1->p[i].set, pw2->p[i].set);
1549                 if (equal < 0)
1550                         goto error;
1551                 if (!equal)
1552                         break;
1553                 equal = FN(EL,plain_is_equal)(pw1->p[i].FIELD, pw2->p[i].FIELD);
1554                 if (equal < 0)
1555                         goto error;
1556         }
1557
1558         FN(PW,free)(pw1);
1559         FN(PW,free)(pw2);
1560         return equal;
1561 error:
1562         FN(PW,free)(pw1);
1563         FN(PW,free)(pw2);
1564         return -1;
1565 }