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 int FN(PW,has_dim_id)(__isl_keep PW *pw, enum isl_dim_type type, unsigned pos)
 183 {
 184         return pw ? isl_space_has_dim_id(pw->dim, type, pos) : -1;
 185 }
 186
 187 __isl_give isl_id *FN(PW,get_dim_id)(__isl_keep PW *pw, enum isl_dim_type type,
 188         unsigned pos)
 189 {
 190         return pw ? isl_space_get_dim_id(pw->dim, type, pos) : NULL;
 191 }
 192
 193 const char *FN(PW,get_tuple_name)(__isl_keep PW *pw, enum isl_dim_type type)
 194 {
 195         return pw ? isl_space_get_tuple_name(pw->dim, type) : NULL;
 196 }
 197
 198 int FN(PW,has_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
 199 {
 200         return pw ? isl_space_has_tuple_id(pw->dim, type) : -1;
 201 }
 202
 203 __isl_give isl_id *FN(PW,get_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
 204 {
 205         return pw ? isl_space_get_tuple_id(pw->dim, type) : NULL;
 206 }
 207
 208 int FN(PW,IS_ZERO)(__isl_keep PW *pw)
 209 {
 210         if (!pw)
 211                 return -1;
 212
 213         return pw->n == 0;
 214 }
 215
 216 #ifndef NO_REALIGN
 217 __isl_give PW *FN(PW,realign_domain)(__isl_take PW *pw,
 218         __isl_take isl_reordering *exp)
 219 {
 220         int i;
 221
 222         pw = FN(PW,cow)(pw);
 223         if (!pw || !exp)
 224                 return NULL;
 225
 226         for (i = 0; i < pw->n; ++i) {
 227                 pw->p[i].set = isl_set_realign(pw->p[i].set,
 228                                                     isl_reordering_copy(exp));
 229                 if (!pw->p[i].set)
 230                         goto error;
 231                 pw->p[i].FIELD = FN(EL,realign_domain)(pw->p[i].FIELD,
 232                                                     isl_reordering_copy(exp));
 233                 if (!pw->p[i].FIELD)
 234                         goto error;
 235         }
 236
 237         pw = FN(PW,reset_domain_space)(pw, isl_space_copy(exp->dim));
 238
 239         isl_reordering_free(exp);
 240         return pw;
 241 error:
 242         isl_reordering_free(exp);
 243         FN(PW,free)(pw);
 244         return NULL;
 245 }
 246
 247 /* Align the parameters of "pw" to those of "model".
 248  */
 249 __isl_give PW *FN(PW,align_params)(__isl_take PW *pw, __isl_take isl_space *model)
 250 {
 251         isl_ctx *ctx;
 252
 253         if (!pw || !model)
 254                 goto error;
 255
 256         ctx = isl_space_get_ctx(model);
 257         if (!isl_space_has_named_params(model))
 258                 isl_die(ctx, isl_error_invalid,
 259                         "model has unnamed parameters", goto error);
 260         if (!isl_space_has_named_params(pw->dim))
 261                 isl_die(ctx, isl_error_invalid,
 262                         "input has unnamed parameters", goto error);
 263         if (!isl_space_match(pw->dim, isl_dim_param, model, isl_dim_param)) {
 264                 isl_reordering *exp;
 265
 266                 model = isl_space_drop_dims(model, isl_dim_in,
 267                                         0, isl_space_dim(model, isl_dim_in));
 268                 model = isl_space_drop_dims(model, isl_dim_out,
 269                                         0, isl_space_dim(model, isl_dim_out));
 270                 exp = isl_parameter_alignment_reordering(pw->dim, model);
 271                 exp = isl_reordering_extend_space(exp,
 272                                         FN(PW,get_domain_space)(pw));
 273                 pw = FN(PW,realign_domain)(pw, exp);
 274         }
 275
 276         isl_space_free(model);
 277         return pw;
 278 error:
 279         isl_space_free(model);
 280         FN(PW,free)(pw);
 281         return NULL;
 282 }
 283
 284 static __isl_give PW *FN(PW,align_params_pw_pw_and)(__isl_take PW *pw1,
 285         __isl_take PW *pw2,
 286         __isl_give PW *(*fn)(__isl_take PW *pw1, __isl_take PW *pw2))
 287 {
 288         isl_ctx *ctx;
 289
 290         if (!pw1 || !pw2)
 291                 goto error;
 292         if (isl_space_match(pw1->dim, isl_dim_param, pw2->dim, isl_dim_param))
 293                 return fn(pw1, pw2);
 294         ctx = FN(PW,get_ctx)(pw1);
 295         if (!isl_space_has_named_params(pw1->dim) ||
 296             !isl_space_has_named_params(pw2->dim))
 297                 isl_die(ctx, isl_error_invalid,
 298                         "unaligned unnamed parameters", goto error);
 299         pw1 = FN(PW,align_params)(pw1, FN(PW,get_space)(pw2));
 300         pw2 = FN(PW,align_params)(pw2, FN(PW,get_space)(pw1));
 301         return fn(pw1, pw2);
 302 error:
 303         FN(PW,free)(pw1);
 304         FN(PW,free)(pw2);
 305         return NULL;
 306 }
 307
 308 static __isl_give PW *FN(PW,align_params_pw_set_and)(__isl_take PW *pw,
 309         __isl_take isl_set *set,
 310         __isl_give PW *(*fn)(__isl_take PW *pw, __isl_take isl_set *set))
 311 {
 312         isl_ctx *ctx;
 313
 314         if (!pw || !set)
 315                 goto error;
 316         if (isl_space_match(pw->dim, isl_dim_param, set->dim, isl_dim_param))
 317                 return fn(pw, set);
 318         ctx = FN(PW,get_ctx)(pw);
 319         if (!isl_space_has_named_params(pw->dim) ||
 320             !isl_space_has_named_params(set->dim))
 321                 isl_die(ctx, isl_error_invalid,
 322                         "unaligned unnamed parameters", goto error);
 323         pw = FN(PW,align_params)(pw, isl_set_get_space(set));
 324         set = isl_set_align_params(set, FN(PW,get_space)(pw));
 325         return fn(pw, set);
 326 error:
 327         FN(PW,free)(pw);
 328         isl_set_free(set);
 329         return NULL;
 330 }
 331 #endif
 332
 333 static __isl_give PW *FN(PW,union_add_aligned)(__isl_take PW *pw1,
 334         __isl_take PW *pw2)
 335 {
 336         int i, j, n;
 337         struct PW *res;
 338         isl_ctx *ctx;
 339         isl_set *set;
 340
 341         if (!pw1 || !pw2)
 342                 goto error;
 343
 344         ctx = isl_space_get_ctx(pw1->dim);
 345 #ifdef HAS_TYPE
 346         if (pw1->type != pw2->type)
 347                 isl_die(ctx, isl_error_invalid,
 348                         "fold types don't match", goto error);
 349 #endif
 350         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 351
 352         if (FN(PW,IS_ZERO)(pw1)) {
 353                 FN(PW,free)(pw1);
 354                 return pw2;
 355         }
 356
 357         if (FN(PW,IS_ZERO)(pw2)) {
 358                 FN(PW,free)(pw2);
 359                 return pw1;
 360         }
 361
 362         n = (pw1->n + 1) * (pw2->n + 1);
 363 #ifdef HAS_TYPE
 364         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), pw1->type, n);
 365 #else
 366         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), n);
 367 #endif
 368
 369         for (i = 0; i < pw1->n; ++i) {
 370                 set = isl_set_copy(pw1->p[i].set);
 371                 for (j = 0; j < pw2->n; ++j) {
 372                         struct isl_set *common;
 373                         EL *sum;
 374                         common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
 375                                                 isl_set_copy(pw2->p[j].set));
 376                         if (isl_set_plain_is_empty(common)) {
 377                                 isl_set_free(common);
 378                                 continue;
 379                         }
 380                         set = isl_set_subtract(set,
 381                                         isl_set_copy(pw2->p[j].set));
 382
 383                         sum = FN(EL,add_on_domain)(common,
 384                                                    FN(EL,copy)(pw1->p[i].FIELD),
 385                                                    FN(EL,copy)(pw2->p[j].FIELD));
 386
 387                         res = FN(PW,add_piece)(res, common, sum);
 388                 }
 389                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw1->p[i].FIELD));
 390         }
 391
 392         for (j = 0; j < pw2->n; ++j) {
 393                 set = isl_set_copy(pw2->p[j].set);
 394                 for (i = 0; i < pw1->n; ++i)
 395                         set = isl_set_subtract(set,
 396                                         isl_set_copy(pw1->p[i].set));
 397                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw2->p[j].FIELD));
 398         }
 399
 400         FN(PW,free)(pw1);
 401         FN(PW,free)(pw2);
 402
 403         return res;
 404 error:
 405         FN(PW,free)(pw1);
 406         FN(PW,free)(pw2);
 407         return NULL;
 408 }
 409
 410 /* Private version of "union_add".  For isl_pw_qpolynomial and
 411  * isl_pw_qpolynomial_fold, we prefer to simply call it "add".
 412  */
 413 static __isl_give PW *FN(PW,union_add_)(__isl_take PW *pw1, __isl_take PW *pw2)
 414 {
 415         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
 416                                                 &FN(PW,union_add_aligned));
 417 }
 418
 419 /* Make sure "pw" has room for at least "n" more pieces.
 420  *
 421  * If there is only one reference to pw, we extend it in place.
 422  * Otherwise, we create a new PW and copy the pieces.
 423  */
 424 static __isl_give PW *FN(PW,grow)(__isl_take PW *pw, int n)
 425 {
 426         int i;
 427         isl_ctx *ctx;
 428         PW *res;
 429
 430         if (!pw)
 431                 return NULL;
 432         if (pw->n + n <= pw->size)
 433                 return pw;
 434         ctx = FN(PW,get_ctx)(pw);
 435         n += pw->n;
 436         if (pw->ref == 1) {
 437                 res = isl_realloc(ctx, pw, struct PW,
 438                             sizeof(struct PW) + (n - 1) * sizeof(S(PW,piece)));
 439                 if (!res)
 440                         return FN(PW,free)(pw);
 441                 res->size = n;
 442                 return res;
 443         }
 444 #ifdef HAS_TYPE
 445         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->type, n);
 446 #else
 447         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), n);
 448 #endif
 449         if (!res)
 450                 return FN(PW,free)(pw);
 451         for (i = 0; i < pw->n; ++i)
 452                 res = FN(PW,add_piece)(res, isl_set_copy(pw->p[i].set),
 453                                             FN(EL,copy)(pw->p[i].FIELD));
 454         FN(PW,free)(pw);
 455         return res;
 456 }
 457
 458 static __isl_give PW *FN(PW,add_disjoint_aligned)(__isl_take PW *pw1,
 459         __isl_take PW *pw2)
 460 {
 461         int i;
 462         isl_ctx *ctx;
 463
 464         if (!pw1 || !pw2)
 465                 goto error;
 466
 467         if (pw1->size < pw1->n + pw2->n && pw1->n < pw2->n)
 468                 return FN(PW,add_disjoint_aligned)(pw2, pw1);
 469
 470         ctx = isl_space_get_ctx(pw1->dim);
 471 #ifdef HAS_TYPE
 472         if (pw1->type != pw2->type)
 473                 isl_die(ctx, isl_error_invalid,
 474                         "fold types don't match", goto error);
 475 #endif
 476         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 477
 478         if (FN(PW,IS_ZERO)(pw1)) {
 479                 FN(PW,free)(pw1);
 480                 return pw2;
 481         }
 482
 483         if (FN(PW,IS_ZERO)(pw2)) {
 484                 FN(PW,free)(pw2);
 485                 return pw1;
 486         }
 487
 488         pw1 = FN(PW,grow)(pw1, pw2->n);
 489         if (!pw1)
 490                 goto error;
 491
 492         for (i = 0; i < pw2->n; ++i)
 493                 pw1 = FN(PW,add_piece)(pw1,
 494                                 isl_set_copy(pw2->p[i].set),
 495                                 FN(EL,copy)(pw2->p[i].FIELD));
 496
 497         FN(PW,free)(pw2);
 498
 499         return pw1;
 500 error:
 501         FN(PW,free)(pw1);
 502         FN(PW,free)(pw2);
 503         return NULL;
 504 }
 505
 506 __isl_give PW *FN(PW,add_disjoint)(__isl_take PW *pw1, __isl_take PW *pw2)
 507 {
 508         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
 509                                                 &FN(PW,add_disjoint_aligned));
 510 }
 511
 512 /* This function is currently only used from isl_aff.c
 513  */
 514 static __isl_give PW *FN(PW,on_shared_domain)(__isl_take PW *pw1,
 515         __isl_take PW *pw2,
 516         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 517         __attribute__ ((unused));
 518
 519 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
 520  */
 521 static __isl_give PW *FN(PW,on_shared_domain)(__isl_take PW *pw1,
 522         __isl_take PW *pw2,
 523         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 524 {
 525         int i, j, n;
 526         PW *res = NULL;
 527
 528         if (!pw1 || !pw2)
 529                 goto error;
 530
 531         n = pw1->n * pw2->n;
 532 #ifdef HAS_TYPE
 533         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), pw1->type, n);
 534 #else
 535         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), n);
 536 #endif
 537
 538         for (i = 0; i < pw1->n; ++i) {
 539                 for (j = 0; j < pw2->n; ++j) {
 540                         isl_set *common;
 541                         EL *res_ij;
 542                         int empty;
 543
 544                         common = isl_set_intersect(
 545                                         isl_set_copy(pw1->p[i].set),
 546                                         isl_set_copy(pw2->p[j].set));
 547                         empty = isl_set_plain_is_empty(common);
 548                         if (empty < 0 || empty) {
 549                                 isl_set_free(common);
 550                                 if (empty < 0)
 551                                         goto error;
 552                                 continue;
 553                         }
 554
 555                         res_ij = fn(FN(EL,copy)(pw1->p[i].FIELD),
 556                                     FN(EL,copy)(pw2->p[j].FIELD));
 557                         res_ij = FN(EL,gist)(res_ij, isl_set_copy(common));
 558
 559                         res = FN(PW,add_piece)(res, common, res_ij);
 560                 }
 561         }
 562
 563         FN(PW,free)(pw1);
 564         FN(PW,free)(pw2);
 565         return res;
 566 error:
 567         FN(PW,free)(pw1);
 568         FN(PW,free)(pw2);
 569         FN(PW,free)(res);
 570         return NULL;
 571 }
 572
 573 #ifndef NO_NEG
 574 __isl_give PW *FN(PW,neg)(__isl_take PW *pw)
 575 {
 576         int i;
 577
 578         if (!pw)
 579                 return NULL;
 580
 581         if (FN(PW,IS_ZERO)(pw))
 582                 return pw;
 583
 584         pw = FN(PW,cow)(pw);
 585         if (!pw)
 586                 return NULL;
 587
 588         for (i = 0; i < pw->n; ++i) {
 589                 pw->p[i].FIELD = FN(EL,neg)(pw->p[i].FIELD);
 590                 if (!pw->p[i].FIELD)
 591                         return FN(PW,free)(pw);
 592         }
 593
 594         return pw;
 595 }
 596
 597 __isl_give PW *FN(PW,sub)(__isl_take PW *pw1, __isl_take PW *pw2)
 598 {
 599         return FN(PW,add)(pw1, FN(PW,neg)(pw2));
 600 }
 601 #endif
 602
 603 #ifndef NO_EVAL
 604 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
 605         __isl_take isl_point *pnt)
 606 {
 607         int i;
 608         int found = 0;
 609         isl_ctx *ctx;
 610         isl_space *pnt_dim = NULL;
 611         isl_qpolynomial *qp;
 612
 613         if (!pw || !pnt)
 614                 goto error;
 615         ctx = isl_point_get_ctx(pnt);
 616         pnt_dim = isl_point_get_space(pnt);
 617         isl_assert(ctx, isl_space_is_domain(pnt_dim, pw->dim), goto error);
 618
 619         for (i = 0; i < pw->n; ++i) {
 620                 found = isl_set_contains_point(pw->p[i].set, pnt);
 621                 if (found < 0)
 622                         goto error;
 623                 if (found)
 624                         break;
 625         }
 626         if (found)
 627                 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
 628                                             isl_point_copy(pnt));
 629         else
 630                 qp = isl_qpolynomial_zero_on_domain(FN(PW,get_domain_space)(pw));
 631         FN(PW,free)(pw);
 632         isl_space_free(pnt_dim);
 633         isl_point_free(pnt);
 634         return qp;
 635 error:
 636         FN(PW,free)(pw);
 637         isl_space_free(pnt_dim);
 638         isl_point_free(pnt);
 639         return NULL;
 640 }
 641 #endif
 642
 643 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
 644 {
 645         int i;
 646         isl_set *dom;
 647
 648         if (!pw)
 649                 return NULL;
 650
 651         dom = isl_set_empty(FN(PW,get_domain_space)(pw));
 652         for (i = 0; i < pw->n; ++i)
 653                 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
 654
 655         FN(PW,free)(pw);
 656
 657         return dom;
 658 }
 659
 660 /* Restrict the domain of "pw" by combining each cell
 661  * with "set" through a call to "fn", where "fn" may be
 662  * isl_set_intersect or isl_set_intersect_params.
 663  */
 664 static __isl_give PW *FN(PW,intersect_aligned)(__isl_take PW *pw,
 665         __isl_take isl_set *set,
 666         __isl_give isl_set *(*fn)(__isl_take isl_set *set1,
 667                                     __isl_take isl_set *set2))
 668 {
 669         int i;
 670
 671         if (!pw || !set)
 672                 goto error;
 673
 674         if (pw->n == 0) {
 675                 isl_set_free(set);
 676                 return pw;
 677         }
 678
 679         pw = FN(PW,cow)(pw);
 680         if (!pw)
 681                 goto error;
 682
 683         for (i = pw->n - 1; i >= 0; --i) {
 684                 isl_basic_set *aff;
 685                 pw->p[i].set = fn(pw->p[i].set, isl_set_copy(set));
 686                 if (!pw->p[i].set)
 687                         goto error;
 688                 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
 689                 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
 690                                                                 aff);
 691                 if (!pw->p[i].FIELD)
 692                         goto error;
 693                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 694                         isl_set_free(pw->p[i].set);
 695                         FN(EL,free)(pw->p[i].FIELD);
 696                         if (i != pw->n - 1)
 697                                 pw->p[i] = pw->p[pw->n - 1];
 698                         pw->n--;
 699                 }
 700         }
 701
 702         isl_set_free(set);
 703         return pw;
 704 error:
 705         isl_set_free(set);
 706         FN(PW,free)(pw);
 707         return NULL;
 708 }
 709
 710 static __isl_give PW *FN(PW,intersect_domain_aligned)(__isl_take PW *pw,
 711         __isl_take isl_set *set)
 712 {
 713         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect);
 714 }
 715
 716 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw,
 717         __isl_take isl_set *context)
 718 {
 719         return FN(PW,align_params_pw_set_and)(pw, context,
 720                                         &FN(PW,intersect_domain_aligned));
 721 }
 722
 723 static __isl_give PW *FN(PW,intersect_params_aligned)(__isl_take PW *pw,
 724         __isl_take isl_set *set)
 725 {
 726         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect_params);
 727 }
 728
 729 /* Intersect the domain of "pw" with the parameter domain "context".
 730  */
 731 __isl_give PW *FN(PW,intersect_params)(__isl_take PW *pw,
 732         __isl_take isl_set *context)
 733 {
 734         return FN(PW,align_params_pw_set_and)(pw, context,
 735                                         &FN(PW,intersect_params_aligned));
 736 }
 737
 738 static __isl_give PW *FN(PW,gist_aligned)(__isl_take PW *pw,
 739         __isl_take isl_set *context,
 740         __isl_give EL *(*fn_el)(__isl_take EL *el,
 741                                     __isl_take isl_set *set),
 742         __isl_give isl_set *(*fn_dom)(__isl_take isl_set *set,
 743                                     __isl_take isl_basic_set *bset))
 744 {
 745         int i;
 746         isl_basic_set *hull = NULL;
 747
 748         if (!pw || !context)
 749                 goto error;
 750
 751         if (pw->n == 0) {
 752                 isl_set_free(context);
 753                 return pw;
 754         }
 755
 756         if (!isl_space_match(pw->dim, isl_dim_param,
 757                                 context->dim, isl_dim_param)) {
 758                 pw = FN(PW,align_params)(pw, isl_set_get_space(context));
 759                 context = isl_set_align_params(context, FN(PW,get_space)(pw));
 760         }
 761
 762         context = isl_set_compute_divs(context);
 763         hull = isl_set_simple_hull(isl_set_copy(context));
 764
 765         pw = FN(PW,cow)(pw);
 766         if (!pw)
 767                 goto error;
 768
 769         for (i = pw->n - 1; i >= 0; --i) {
 770                 pw->p[i].set = isl_set_intersect(pw->p[i].set,
 771                                                  isl_set_copy(context));
 772                 if (!pw->p[i].set)
 773                         goto error;
 774                 pw->p[i].FIELD = fn_el(pw->p[i].FIELD,
 775                                              isl_set_copy(pw->p[i].set));
 776                 pw->p[i].set = fn_dom(pw->p[i].set, isl_basic_set_copy(hull));
 777                 if (!pw->p[i].set)
 778                         goto error;
 779                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 780                         isl_set_free(pw->p[i].set);
 781                         FN(EL,free)(pw->p[i].FIELD);
 782                         if (i != pw->n - 1)
 783                                 pw->p[i] = pw->p[pw->n - 1];
 784                         pw->n--;
 785                 }
 786         }
 787
 788         isl_basic_set_free(hull);
 789         isl_set_free(context);
 790
 791         return pw;
 792 error:
 793         FN(PW,free)(pw);
 794         isl_basic_set_free(hull);
 795         isl_set_free(context);
 796         return NULL;
 797 }
 798
 799 static __isl_give PW *FN(PW,gist_domain_aligned)(__isl_take PW *pw,
 800         __isl_take isl_set *set)
 801 {
 802         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist),
 803                                         &isl_set_gist_basic_set);
 804 }
 805
 806 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
 807 {
 808         return FN(PW,align_params_pw_set_and)(pw, context,
 809                                                 &FN(PW,gist_domain_aligned));
 810 }
 811
 812 static __isl_give PW *FN(PW,gist_params_aligned)(__isl_take PW *pw,
 813         __isl_take isl_set *set)
 814 {
 815         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist_params),
 816                                         &isl_set_gist_params_basic_set);
 817 }
 818
 819 __isl_give PW *FN(PW,gist_params)(__isl_take PW *pw,
 820         __isl_take isl_set *context)
 821 {
 822         return FN(PW,align_params_pw_set_and)(pw, context,
 823                                                 &FN(PW,gist_params_aligned));
 824 }
 825
 826 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
 827 {
 828         int i, j;
 829
 830         if (!pw)
 831                 return NULL;
 832         if (pw->n == 0)
 833                 return pw;
 834
 835         for (i = pw->n - 1; i >= 0; --i) {
 836                 for (j = i - 1; j >= 0; --j) {
 837                         if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
 838                                                         pw->p[j].FIELD))
 839                                 continue;
 840                         pw->p[j].set = isl_set_union(pw->p[j].set,
 841                                                         pw->p[i].set);
 842                         FN(EL,free)(pw->p[i].FIELD);
 843                         if (i != pw->n - 1)
 844                                 pw->p[i] = pw->p[pw->n - 1];
 845                         pw->n--;
 846                         break;
 847                 }
 848                 if (j >= 0)
 849                         continue;
 850                 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
 851                 if (!pw->p[i].set)
 852                         goto error;
 853         }
 854
 855         return pw;
 856 error:
 857         FN(PW,free)(pw);
 858         return NULL;
 859 }
 860
 861 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
 862 {
 863         return pw ? isl_space_get_ctx(pw->dim) : NULL;
 864 }
 865
 866 #ifndef NO_INVOLVES_DIMS
 867 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
 868         unsigned first, unsigned n)
 869 {
 870         int i;
 871         enum isl_dim_type set_type;
 872
 873         if (!pw)
 874                 return -1;
 875         if (pw->n == 0 || n == 0)
 876                 return 0;
 877
 878         set_type = type == isl_dim_in ? isl_dim_set : type;
 879
 880         for (i = 0; i < pw->n; ++i) {
 881                 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
 882                                                         type, first, n);
 883                 if (involves < 0 || involves)
 884                         return involves;
 885                 involves = isl_set_involves_dims(pw->p[i].set,
 886                                                         set_type, first, n);
 887                 if (involves < 0 || involves)
 888                         return involves;
 889         }
 890         return 0;
 891 }
 892 #endif
 893
 894 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
 895         enum isl_dim_type type, unsigned pos, const char *s)
 896 {
 897         int i;
 898         enum isl_dim_type set_type;
 899
 900         pw = FN(PW,cow)(pw);
 901         if (!pw)
 902                 return NULL;
 903
 904         set_type = type == isl_dim_in ? isl_dim_set : type;
 905
 906         pw->dim = isl_space_set_dim_name(pw->dim, type, pos, s);
 907         if (!pw->dim)
 908                 goto error;
 909
 910         for (i = 0; i < pw->n; ++i) {
 911                 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set,
 912                                                         set_type, pos, s);
 913                 if (!pw->p[i].set)
 914                         goto error;
 915                 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
 916                 if (!pw->p[i].FIELD)
 917                         goto error;
 918         }
 919
 920         return pw;
 921 error:
 922         FN(PW,free)(pw);
 923         return NULL;
 924 }
 925
 926 #ifndef NO_DROP_DIMS
 927 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
 928         enum isl_dim_type type, unsigned first, unsigned n)
 929 {
 930         int i;
 931         enum isl_dim_type set_type;
 932
 933         if (!pw)
 934                 return NULL;
 935         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 936                 return pw;
 937
 938         set_type = type == isl_dim_in ? isl_dim_set : type;
 939
 940         pw = FN(PW,cow)(pw);
 941         if (!pw)
 942                 return NULL;
 943         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 944         if (!pw->dim)
 945                 goto error;
 946         for (i = 0; i < pw->n; ++i) {
 947                 pw->p[i].set = isl_set_drop(pw->p[i].set, set_type, first, n);
 948                 if (!pw->p[i].set)
 949                         goto error;
 950                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 951                 if (!pw->p[i].FIELD)
 952                         goto error;
 953         }
 954
 955         return pw;
 956 error:
 957         FN(PW,free)(pw);
 958         return NULL;
 959 }
 960
 961 /* This function is very similar to drop_dims.
 962  * The only difference is that the cells may still involve
 963  * the specified dimensions.  They are removed using
 964  * isl_set_project_out instead of isl_set_drop.
 965  */
 966 __isl_give PW *FN(PW,project_out)(__isl_take PW *pw,
 967         enum isl_dim_type type, unsigned first, unsigned n)
 968 {
 969         int i;
 970         enum isl_dim_type set_type;
 971
 972         if (!pw)
 973                 return NULL;
 974         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 975                 return pw;
 976
 977         set_type = type == isl_dim_in ? isl_dim_set : type;
 978
 979         pw = FN(PW,cow)(pw);
 980         if (!pw)
 981                 return NULL;
 982         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 983         if (!pw->dim)
 984                 goto error;
 985         for (i = 0; i < pw->n; ++i) {
 986                 pw->p[i].set = isl_set_project_out(pw->p[i].set,
 987                                                         set_type, first, n);
 988                 if (!pw->p[i].set)
 989                         goto error;
 990                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 991                 if (!pw->p[i].FIELD)
 992                         goto error;
 993         }
 994
 995         return pw;
 996 error:
 997         FN(PW,free)(pw);
 998         return NULL;
 999 }
1000
1001 /* Project the domain of pw onto its parameter space.
1002  */
1003 __isl_give PW *FN(PW,project_domain_on_params)(__isl_take PW *pw)
1004 {
1005         isl_space *space;
1006         unsigned n;
1007
1008         n = FN(PW,dim)(pw, isl_dim_in);
1009         pw = FN(PW,project_out)(pw, isl_dim_in, 0, n);
1010         space = FN(PW,get_domain_space)(pw);
1011         space = isl_space_params(space);
1012         pw = FN(PW,reset_domain_space)(pw, space);
1013         return pw;
1014 }
1015 #endif
1016
1017 #ifndef NO_INSERT_DIMS
1018 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
1019         unsigned first, unsigned n)
1020 {
1021         int i;
1022         enum isl_dim_type set_type;
1023
1024         if (!pw)
1025                 return NULL;
1026         if (n == 0 && !isl_space_is_named_or_nested(pw->dim, type))
1027                 return pw;
1028
1029         set_type = type == isl_dim_in ? isl_dim_set : type;
1030
1031         pw = FN(PW,cow)(pw);
1032         if (!pw)
1033                 return NULL;
1034
1035         pw->dim = isl_space_insert_dims(pw->dim, type, first, n);
1036         if (!pw->dim)
1037                 goto error;
1038
1039         for (i = 0; i < pw->n; ++i) {
1040                 pw->p[i].set = isl_set_insert_dims(pw->p[i].set,
1041                                                             set_type, first, n);
1042                 if (!pw->p[i].set)
1043                         goto error;
1044                 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
1045                                                                 type, first, n);
1046                 if (!pw->p[i].FIELD)
1047                         goto error;
1048         }
1049
1050         return pw;
1051 error:
1052         FN(PW,free)(pw);
1053         return NULL;
1054 }
1055 #endif
1056
1057 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
1058         enum isl_dim_type type, unsigned pos, isl_int v)
1059 {
1060         int i;
1061
1062         if (!pw)
1063                 return NULL;
1064
1065         if (type == isl_dim_in)
1066                 type = isl_dim_set;
1067
1068         pw = FN(PW,cow)(pw);
1069         if (!pw)
1070                 return NULL;
1071         for (i = 0; i < pw->n; ++i) {
1072                 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
1073                 if (!pw->p[i].set)
1074                         goto error;
1075         }
1076
1077         return pw;
1078 error:
1079         FN(PW,free)(pw);
1080         return NULL;
1081 }
1082
1083 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
1084 {
1085         return pw ? isl_space_dim(pw->dim, type) : 0;
1086 }
1087
1088 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
1089         enum isl_dim_type type, unsigned first, unsigned n)
1090 {
1091         int i;
1092
1093         if (!pw)
1094                 return NULL;
1095         if (n == 0)
1096                 return pw;
1097
1098         if (type == isl_dim_in)
1099                 type = isl_dim_set;
1100
1101         pw = FN(PW,cow)(pw);
1102         if (!pw)
1103                 return NULL;
1104         if (!pw->dim)
1105                 goto error;
1106         for (i = 0; i < pw->n; ++i) {
1107                 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
1108                 if (!pw->p[i].set)
1109                         goto error;
1110         }
1111
1112         return pw;
1113 error:
1114         FN(PW,free)(pw);
1115         return NULL;
1116 }
1117
1118 #ifndef NO_OPT
1119 /* Compute the maximal value attained by the piecewise quasipolynomial
1120  * on its domain or zero if the domain is empty.
1121  * In the worst case, the domain is scanned completely,
1122  * so the domain is assumed to be bounded.
1123  */
1124 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
1125 {
1126         int i;
1127         isl_qpolynomial *opt;
1128
1129         if (!pw)
1130                 return NULL;
1131
1132         if (pw->n == 0) {
1133                 isl_space *dim = isl_space_copy(pw->dim);
1134                 FN(PW,free)(pw);
1135                 return isl_qpolynomial_zero_on_domain(isl_space_domain(dim));
1136         }
1137
1138         opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
1139                                         isl_set_copy(pw->p[0].set), max);
1140         for (i = 1; i < pw->n; ++i) {
1141                 isl_qpolynomial *opt_i;
1142                 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
1143                                                 isl_set_copy(pw->p[i].set), max);
1144                 if (max)
1145                         opt = isl_qpolynomial_max_cst(opt, opt_i);
1146                 else
1147                         opt = isl_qpolynomial_min_cst(opt, opt_i);
1148         }
1149
1150         FN(PW,free)(pw);
1151         return opt;
1152 }
1153
1154 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
1155 {
1156         return FN(PW,opt)(pw, 1);
1157 }
1158
1159 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
1160 {
1161         return FN(PW,opt)(pw, 0);
1162 }
1163 #endif
1164
1165 __isl_give isl_space *FN(PW,get_space)(__isl_keep PW *pw)
1166 {
1167         return pw ? isl_space_copy(pw->dim) : NULL;
1168 }
1169
1170 __isl_give isl_space *FN(PW,get_domain_space)(__isl_keep PW *pw)
1171 {
1172         return pw ? isl_space_domain(isl_space_copy(pw->dim)) : NULL;
1173 }
1174
1175 #ifndef NO_RESET_DIM
1176 /* Reset the space of "pw".  Since we don't know if the elements
1177  * represent the spaces themselves or their domains, we pass along
1178  * both when we call their reset_space_and_domain.
1179  */
1180 static __isl_give PW *FN(PW,reset_space_and_domain)(__isl_take PW *pw,
1181         __isl_take isl_space *space, __isl_take isl_space *domain)
1182 {
1183         int i;
1184
1185         pw = FN(PW,cow)(pw);
1186         if (!pw || !space || !domain)
1187                 goto error;
1188
1189         for (i = 0; i < pw->n; ++i) {
1190                 pw->p[i].set = isl_set_reset_space(pw->p[i].set,
1191                                                  isl_space_copy(domain));
1192                 if (!pw->p[i].set)
1193                         goto error;
1194                 pw->p[i].FIELD = FN(EL,reset_space_and_domain)(pw->p[i].FIELD,
1195                               isl_space_copy(space), isl_space_copy(domain));
1196                 if (!pw->p[i].FIELD)
1197                         goto error;
1198         }
1199
1200         isl_space_free(domain);
1201
1202         isl_space_free(pw->dim);
1203         pw->dim = space;
1204
1205         return pw;
1206 error:
1207         isl_space_free(domain);
1208         isl_space_free(space);
1209         FN(PW,free)(pw);
1210         return NULL;
1211 }
1212
1213 __isl_give PW *FN(PW,reset_domain_space)(__isl_take PW *pw,
1214         __isl_take isl_space *domain)
1215 {
1216         isl_space *space;
1217
1218         space = isl_space_extend_domain_with_range(isl_space_copy(domain),
1219                                                    FN(PW,get_space)(pw));
1220         return FN(PW,reset_space_and_domain)(pw, space, domain);
1221 }
1222
1223 __isl_give PW *FN(PW,reset_space)(__isl_take PW *pw, __isl_take isl_space *dim)
1224 {
1225         isl_space *domain;
1226
1227         domain = isl_space_domain(isl_space_copy(dim));
1228         return FN(PW,reset_space_and_domain)(pw, dim, domain);
1229 }
1230
1231 __isl_give PW *FN(PW,set_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type,
1232         __isl_take isl_id *id)
1233 {
1234         isl_space *space;
1235
1236         pw = FN(PW,cow)(pw);
1237         if (!pw)
1238                 return isl_id_free(id);
1239
1240         space = FN(PW,get_space)(pw);
1241         space = isl_space_set_tuple_id(space, type, id);
1242
1243         return FN(PW,reset_space)(pw, space);
1244 }
1245
1246 __isl_give PW *FN(PW,set_dim_id)(__isl_take PW *pw,
1247         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
1248 {
1249         pw = FN(PW,cow)(pw);
1250         if (!pw)
1251                 return isl_id_free(id);
1252         pw->dim = isl_space_set_dim_id(pw->dim, type, pos, id);
1253         return FN(PW,reset_space)(pw, isl_space_copy(pw->dim));
1254 }
1255 #endif
1256
1257 int FN(PW,has_equal_space)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1258 {
1259         if (!pw1 || !pw2)
1260                 return -1;
1261
1262         return isl_space_is_equal(pw1->dim, pw2->dim);
1263 }
1264
1265 #ifndef NO_MORPH
1266 __isl_give PW *FN(PW,morph_domain)(__isl_take PW *pw,
1267         __isl_take isl_morph *morph)
1268 {
1269         int i;
1270         isl_ctx *ctx;
1271
1272         if (!pw || !morph)
1273                 goto error;
1274
1275         ctx = isl_space_get_ctx(pw->dim);
1276         isl_assert(ctx, isl_space_is_domain(morph->dom->dim, pw->dim),
1277                 goto error);
1278
1279         pw = FN(PW,cow)(pw);
1280         if (!pw)
1281                 goto error;
1282         pw->dim = isl_space_extend_domain_with_range(
1283                         isl_space_copy(morph->ran->dim), pw->dim);
1284         if (!pw->dim)
1285                 goto error;
1286
1287         for (i = 0; i < pw->n; ++i) {
1288                 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
1289                 if (!pw->p[i].set)
1290                         goto error;
1291                 pw->p[i].FIELD = FN(EL,morph_domain)(pw->p[i].FIELD,
1292                                                 isl_morph_copy(morph));
1293                 if (!pw->p[i].FIELD)
1294                         goto error;
1295         }
1296
1297         isl_morph_free(morph);
1298
1299         return pw;
1300 error:
1301         FN(PW,free)(pw);
1302         isl_morph_free(morph);
1303         return NULL;
1304 }
1305 #endif
1306
1307 int FN(PW,n_piece)(__isl_keep PW *pw)
1308 {
1309         return pw ? pw->n : 0;
1310 }
1311
1312 int FN(PW,foreach_piece)(__isl_keep PW *pw,
1313         int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
1314         void *user)
1315 {
1316         int i;
1317
1318         if (!pw)
1319                 return -1;
1320
1321         for (i = 0; i < pw->n; ++i)
1322                 if (fn(isl_set_copy(pw->p[i].set),
1323                                 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
1324                         return -1;
1325
1326         return 0;
1327 }
1328
1329 #ifndef NO_LIFT
1330 static int any_divs(__isl_keep isl_set *set)
1331 {
1332         int i;
1333
1334         if (!set)
1335                 return -1;
1336
1337         for (i = 0; i < set->n; ++i)
1338                 if (set->p[i]->n_div > 0)
1339                         return 1;
1340
1341         return 0;
1342 }
1343
1344 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
1345         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1346                     void *user), void *user)
1347 {
1348         int i;
1349
1350         if (!set || !el)
1351                 goto error;
1352
1353         for (i = 0; i < set->n; ++i) {
1354                 isl_set *lift;
1355                 EL *copy;
1356
1357                 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
1358                 lift = isl_set_lift(lift);
1359
1360                 copy = FN(EL,copy)(el);
1361                 copy = FN(EL,lift)(copy, isl_set_get_space(lift));
1362
1363                 if (fn(lift, copy, user) < 0)
1364                         goto error;
1365         }
1366
1367         isl_set_free(set);
1368         FN(EL,free)(el);
1369
1370         return 0;
1371 error:
1372         isl_set_free(set);
1373         FN(EL,free)(el);
1374         return -1;
1375 }
1376
1377 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
1378         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1379                     void *user), void *user)
1380 {
1381         int i;
1382
1383         if (!pw)
1384                 return -1;
1385
1386         for (i = 0; i < pw->n; ++i) {
1387                 isl_set *set;
1388                 EL *el;
1389
1390                 set = isl_set_copy(pw->p[i].set);
1391                 el = FN(EL,copy)(pw->p[i].FIELD);
1392                 if (!any_divs(set)) {
1393                         if (fn(set, el, user) < 0)
1394                                 return -1;
1395                         continue;
1396                 }
1397                 if (foreach_lifted_subset(set, el, fn, user) < 0)
1398                         return -1;
1399         }
1400
1401         return 0;
1402 }
1403 #endif
1404
1405 #ifndef NO_MOVE_DIMS
1406 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
1407         enum isl_dim_type dst_type, unsigned dst_pos,
1408         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1409 {
1410         int i;
1411
1412         pw = FN(PW,cow)(pw);
1413         if (!pw)
1414                 return NULL;
1415
1416         pw->dim = isl_space_move_dims(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
1417         if (!pw->dim)
1418                 goto error;
1419
1420         for (i = 0; i < pw->n; ++i) {
1421                 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
1422                                         dst_type, dst_pos, src_type, src_pos, n);
1423                 if (!pw->p[i].FIELD)
1424                         goto error;
1425         }
1426
1427         if (dst_type == isl_dim_in)
1428                 dst_type = isl_dim_set;
1429         if (src_type == isl_dim_in)
1430                 src_type = isl_dim_set;
1431
1432         for (i = 0; i < pw->n; ++i) {
1433                 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
1434                                                 dst_type, dst_pos,
1435                                                 src_type, src_pos, n);
1436                 if (!pw->p[i].set)
1437                         goto error;
1438         }
1439
1440         return pw;
1441 error:
1442         FN(PW,free)(pw);
1443         return NULL;
1444 }
1445 #endif
1446
1447 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
1448 {
1449         int i;
1450
1451         if (isl_int_is_one(v))
1452                 return pw;
1453         if (pw && DEFAULT_IS_ZERO && isl_int_is_zero(v)) {
1454                 PW *zero;
1455                 isl_space *dim = FN(PW,get_space)(pw);
1456 #ifdef HAS_TYPE
1457                 zero = FN(PW,ZERO)(dim, pw->type);
1458 #else
1459                 zero = FN(PW,ZERO)(dim);
1460 #endif
1461                 FN(PW,free)(pw);
1462                 return zero;
1463         }
1464         pw = FN(PW,cow)(pw);
1465         if (!pw)
1466                 return NULL;
1467         if (pw->n == 0)
1468                 return pw;
1469
1470 #ifdef HAS_TYPE
1471         if (isl_int_is_neg(v))
1472                 pw->type = isl_fold_type_negate(pw->type);
1473 #endif
1474         for (i = 0; i < pw->n; ++i) {
1475                 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);
1476                 if (!pw->p[i].FIELD)
1477                         goto error;
1478         }
1479
1480         return pw;
1481 error:
1482         FN(PW,free)(pw);
1483         return NULL;
1484 }
1485
1486 __isl_give PW *FN(PW,scale)(__isl_take PW *pw, isl_int v)
1487 {
1488         return FN(PW,mul_isl_int)(pw, v);
1489 }
1490
1491 static int FN(PW,qsort_set_cmp)(const void *p1, const void *p2)
1492 {
1493         const isl_set *set1 = *(const isl_set **)p1;
1494         const isl_set *set2 = *(const isl_set **)p2;
1495
1496         return isl_set_plain_cmp(set1, set2);
1497 }
1498
1499 /* We normalize in place, but if anything goes wrong we need
1500  * to return NULL, so we need to make sure we don't change the
1501  * meaning of any possible other copies of map.
1502  */
1503 __isl_give PW *FN(PW,normalize)(__isl_take PW *pw)
1504 {
1505         int i, j;
1506         isl_set *set;
1507
1508         if (!pw)
1509                 return NULL;
1510         for (i = 0; i < pw->n; ++i) {
1511                 set = isl_set_normalize(isl_set_copy(pw->p[i].set));
1512                 if (!set)
1513                         return FN(PW,free)(pw);
1514                 isl_set_free(pw->p[i].set);
1515                 pw->p[i].set = set;
1516         }
1517         qsort(pw->p, pw->n, sizeof(pw->p[0]), &FN(PW,qsort_set_cmp));
1518         for (i = pw->n - 1; i >= 1; --i) {
1519                 if (!isl_set_plain_is_equal(pw->p[i - 1].set, pw->p[i].set))
1520                         continue;
1521                 if (!FN(EL,plain_is_equal)(pw->p[i - 1].FIELD, pw->p[i].FIELD))
1522                         continue;
1523                 set = isl_set_union(isl_set_copy(pw->p[i - 1].set),
1524                                     isl_set_copy(pw->p[i].set));
1525                 if (!set)
1526                         return FN(PW,free)(pw);
1527                 isl_set_free(pw->p[i].set);
1528                 FN(EL,free)(pw->p[i].FIELD);
1529                 isl_set_free(pw->p[i - 1].set);
1530                 pw->p[i - 1].set = set;
1531                 for (j = i + 1; j < pw->n; ++j)
1532                         pw->p[j - 1] = pw->p[j];
1533                 pw->n--;
1534         }
1535
1536         return pw;
1537 }
1538
1539 /* Is pw1 obviously equal to pw2?
1540  * That is, do they have obviously identical cells and obviously identical
1541  * elements on each cell?
1542  */
1543 int FN(PW,plain_is_equal)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1544 {
1545         int i;
1546         int equal;
1547
1548         if (!pw1 || !pw2)
1549                 return -1;
1550
1551         if (pw1 == pw2)
1552                 return 1;
1553         if (!isl_space_is_equal(pw1->dim, pw2->dim))
1554                 return 0;
1555
1556         pw1 = FN(PW,copy)(pw1);
1557         pw2 = FN(PW,copy)(pw2);
1558         pw1 = FN(PW,normalize)(pw1);
1559         pw2 = FN(PW,normalize)(pw2);
1560         if (!pw1 || !pw2)
1561                 goto error;
1562
1563         equal = pw1->n == pw2->n;
1564         for (i = 0; equal && i < pw1->n; ++i) {
1565                 equal = isl_set_plain_is_equal(pw1->p[i].set, pw2->p[i].set);
1566                 if (equal < 0)
1567                         goto error;
1568                 if (!equal)
1569                         break;
1570                 equal = FN(EL,plain_is_equal)(pw1->p[i].FIELD, pw2->p[i].FIELD);
1571                 if (equal < 0)
1572                         goto error;
1573         }
1574
1575         FN(PW,free)(pw1);
1576         FN(PW,free)(pw2);
1577         return equal;
1578 error:
1579         FN(PW,free)(pw1);
1580         FN(PW,free)(pw2);
1581         return -1;
1582 }