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;
 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                         common = isl_set_intersect(
 543                                         isl_set_copy(pw1->p[i].set),
 544                                         isl_set_copy(pw2->p[j].set));
 545                         if (isl_set_plain_is_empty(common)) {
 546                                 isl_set_free(common);
 547                                 continue;
 548                         }
 549
 550                         res_ij = fn(FN(EL,copy)(pw1->p[i].FIELD),
 551                                     FN(EL,copy)(pw2->p[j].FIELD));
 552                         res_ij = FN(EL,gist)(res_ij, isl_set_copy(common));
 553
 554                         res = FN(PW,add_piece)(res, common, res_ij);
 555                 }
 556         }
 557
 558         FN(PW,free)(pw1);
 559         FN(PW,free)(pw2);
 560         return res;
 561 error:
 562         FN(PW,free)(pw1);
 563         FN(PW,free)(pw2);
 564         return NULL;
 565 }
 566
 567 #ifndef NO_NEG
 568 __isl_give PW *FN(PW,neg)(__isl_take PW *pw)
 569 {
 570         int i;
 571
 572         if (!pw)
 573                 return NULL;
 574
 575         if (FN(PW,IS_ZERO)(pw))
 576                 return pw;
 577
 578         pw = FN(PW,cow)(pw);
 579         if (!pw)
 580                 return NULL;
 581
 582         for (i = 0; i < pw->n; ++i) {
 583                 pw->p[i].FIELD = FN(EL,neg)(pw->p[i].FIELD);
 584                 if (!pw->p[i].FIELD)
 585                         return FN(PW,free)(pw);
 586         }
 587
 588         return pw;
 589 }
 590
 591 __isl_give PW *FN(PW,sub)(__isl_take PW *pw1, __isl_take PW *pw2)
 592 {
 593         return FN(PW,add)(pw1, FN(PW,neg)(pw2));
 594 }
 595 #endif
 596
 597 #ifndef NO_EVAL
 598 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
 599         __isl_take isl_point *pnt)
 600 {
 601         int i;
 602         int found = 0;
 603         isl_ctx *ctx;
 604         isl_space *pnt_dim = NULL;
 605         isl_qpolynomial *qp;
 606
 607         if (!pw || !pnt)
 608                 goto error;
 609         ctx = isl_point_get_ctx(pnt);
 610         pnt_dim = isl_point_get_space(pnt);
 611         isl_assert(ctx, isl_space_is_domain(pnt_dim, pw->dim), goto error);
 612
 613         for (i = 0; i < pw->n; ++i) {
 614                 found = isl_set_contains_point(pw->p[i].set, pnt);
 615                 if (found < 0)
 616                         goto error;
 617                 if (found)
 618                         break;
 619         }
 620         if (found)
 621                 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
 622                                             isl_point_copy(pnt));
 623         else
 624                 qp = isl_qpolynomial_zero_on_domain(FN(PW,get_domain_space)(pw));
 625         FN(PW,free)(pw);
 626         isl_space_free(pnt_dim);
 627         isl_point_free(pnt);
 628         return qp;
 629 error:
 630         FN(PW,free)(pw);
 631         isl_space_free(pnt_dim);
 632         isl_point_free(pnt);
 633         return NULL;
 634 }
 635 #endif
 636
 637 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
 638 {
 639         int i;
 640         isl_set *dom;
 641
 642         if (!pw)
 643                 return NULL;
 644
 645         dom = isl_set_empty(FN(PW,get_domain_space)(pw));
 646         for (i = 0; i < pw->n; ++i)
 647                 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
 648
 649         FN(PW,free)(pw);
 650
 651         return dom;
 652 }
 653
 654 /* Restrict the domain of "pw" by combining each cell
 655  * with "set" through a call to "fn", where "fn" may be
 656  * isl_set_intersect or isl_set_intersect_params.
 657  */
 658 static __isl_give PW *FN(PW,intersect_aligned)(__isl_take PW *pw,
 659         __isl_take isl_set *set,
 660         __isl_give isl_set *(*fn)(__isl_take isl_set *set1,
 661                                     __isl_take isl_set *set2))
 662 {
 663         int i;
 664
 665         if (!pw || !set)
 666                 goto error;
 667
 668         if (pw->n == 0) {
 669                 isl_set_free(set);
 670                 return pw;
 671         }
 672
 673         pw = FN(PW,cow)(pw);
 674         if (!pw)
 675                 goto error;
 676
 677         for (i = pw->n - 1; i >= 0; --i) {
 678                 isl_basic_set *aff;
 679                 pw->p[i].set = fn(pw->p[i].set, isl_set_copy(set));
 680                 if (!pw->p[i].set)
 681                         goto error;
 682                 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
 683                 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
 684                                                                 aff);
 685                 if (!pw->p[i].FIELD)
 686                         goto error;
 687                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 688                         isl_set_free(pw->p[i].set);
 689                         FN(EL,free)(pw->p[i].FIELD);
 690                         if (i != pw->n - 1)
 691                                 pw->p[i] = pw->p[pw->n - 1];
 692                         pw->n--;
 693                 }
 694         }
 695
 696         isl_set_free(set);
 697         return pw;
 698 error:
 699         isl_set_free(set);
 700         FN(PW,free)(pw);
 701         return NULL;
 702 }
 703
 704 static __isl_give PW *FN(PW,intersect_domain_aligned)(__isl_take PW *pw,
 705         __isl_take isl_set *set)
 706 {
 707         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect);
 708 }
 709
 710 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw,
 711         __isl_take isl_set *context)
 712 {
 713         return FN(PW,align_params_pw_set_and)(pw, context,
 714                                         &FN(PW,intersect_domain_aligned));
 715 }
 716
 717 static __isl_give PW *FN(PW,intersect_params_aligned)(__isl_take PW *pw,
 718         __isl_take isl_set *set)
 719 {
 720         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect_params);
 721 }
 722
 723 /* Intersect the domain of "pw" with the parameter domain "context".
 724  */
 725 __isl_give PW *FN(PW,intersect_params)(__isl_take PW *pw,
 726         __isl_take isl_set *context)
 727 {
 728         return FN(PW,align_params_pw_set_and)(pw, context,
 729                                         &FN(PW,intersect_params_aligned));
 730 }
 731
 732 static __isl_give PW *FN(PW,gist_aligned)(__isl_take PW *pw,
 733         __isl_take isl_set *context,
 734         __isl_give EL *(*fn_el)(__isl_take EL *el,
 735                                     __isl_take isl_set *set),
 736         __isl_give isl_set *(*fn_dom)(__isl_take isl_set *set,
 737                                     __isl_take isl_basic_set *bset))
 738 {
 739         int i;
 740         isl_basic_set *hull = NULL;
 741
 742         if (!pw || !context)
 743                 goto error;
 744
 745         if (pw->n == 0) {
 746                 isl_set_free(context);
 747                 return pw;
 748         }
 749
 750         if (!isl_space_match(pw->dim, isl_dim_param,
 751                                 context->dim, isl_dim_param)) {
 752                 pw = FN(PW,align_params)(pw, isl_set_get_space(context));
 753                 context = isl_set_align_params(context, FN(PW,get_space)(pw));
 754         }
 755
 756         context = isl_set_compute_divs(context);
 757         hull = isl_set_simple_hull(isl_set_copy(context));
 758
 759         pw = FN(PW,cow)(pw);
 760         if (!pw)
 761                 goto error;
 762
 763         for (i = pw->n - 1; i >= 0; --i) {
 764                 pw->p[i].set = isl_set_intersect(pw->p[i].set,
 765                                                  isl_set_copy(context));
 766                 if (!pw->p[i].set)
 767                         goto error;
 768                 pw->p[i].FIELD = fn_el(pw->p[i].FIELD,
 769                                              isl_set_copy(pw->p[i].set));
 770                 pw->p[i].set = fn_dom(pw->p[i].set, isl_basic_set_copy(hull));
 771                 if (!pw->p[i].set)
 772                         goto error;
 773                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 774                         isl_set_free(pw->p[i].set);
 775                         FN(EL,free)(pw->p[i].FIELD);
 776                         if (i != pw->n - 1)
 777                                 pw->p[i] = pw->p[pw->n - 1];
 778                         pw->n--;
 779                 }
 780         }
 781
 782         isl_basic_set_free(hull);
 783         isl_set_free(context);
 784
 785         return pw;
 786 error:
 787         FN(PW,free)(pw);
 788         isl_basic_set_free(hull);
 789         isl_set_free(context);
 790         return NULL;
 791 }
 792
 793 static __isl_give PW *FN(PW,gist_domain_aligned)(__isl_take PW *pw,
 794         __isl_take isl_set *set)
 795 {
 796         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist),
 797                                         &isl_set_gist_basic_set);
 798 }
 799
 800 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
 801 {
 802         return FN(PW,align_params_pw_set_and)(pw, context,
 803                                                 &FN(PW,gist_domain_aligned));
 804 }
 805
 806 static __isl_give PW *FN(PW,gist_params_aligned)(__isl_take PW *pw,
 807         __isl_take isl_set *set)
 808 {
 809         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist_params),
 810                                         &isl_set_gist_params_basic_set);
 811 }
 812
 813 __isl_give PW *FN(PW,gist_params)(__isl_take PW *pw,
 814         __isl_take isl_set *context)
 815 {
 816         return FN(PW,align_params_pw_set_and)(pw, context,
 817                                                 &FN(PW,gist_params_aligned));
 818 }
 819
 820 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
 821 {
 822         int i, j;
 823
 824         if (!pw)
 825                 return NULL;
 826         if (pw->n == 0)
 827                 return pw;
 828
 829         for (i = pw->n - 1; i >= 0; --i) {
 830                 for (j = i - 1; j >= 0; --j) {
 831                         if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
 832                                                         pw->p[j].FIELD))
 833                                 continue;
 834                         pw->p[j].set = isl_set_union(pw->p[j].set,
 835                                                         pw->p[i].set);
 836                         FN(EL,free)(pw->p[i].FIELD);
 837                         if (i != pw->n - 1)
 838                                 pw->p[i] = pw->p[pw->n - 1];
 839                         pw->n--;
 840                         break;
 841                 }
 842                 if (j >= 0)
 843                         continue;
 844                 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
 845                 if (!pw->p[i].set)
 846                         goto error;
 847         }
 848
 849         return pw;
 850 error:
 851         FN(PW,free)(pw);
 852         return NULL;
 853 }
 854
 855 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
 856 {
 857         return pw ? isl_space_get_ctx(pw->dim) : NULL;
 858 }
 859
 860 #ifndef NO_INVOLVES_DIMS
 861 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
 862         unsigned first, unsigned n)
 863 {
 864         int i;
 865         enum isl_dim_type set_type;
 866
 867         if (!pw)
 868                 return -1;
 869         if (pw->n == 0 || n == 0)
 870                 return 0;
 871
 872         set_type = type == isl_dim_in ? isl_dim_set : type;
 873
 874         for (i = 0; i < pw->n; ++i) {
 875                 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
 876                                                         type, first, n);
 877                 if (involves < 0 || involves)
 878                         return involves;
 879                 involves = isl_set_involves_dims(pw->p[i].set,
 880                                                         set_type, first, n);
 881                 if (involves < 0 || involves)
 882                         return involves;
 883         }
 884         return 0;
 885 }
 886 #endif
 887
 888 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
 889         enum isl_dim_type type, unsigned pos, const char *s)
 890 {
 891         int i;
 892         enum isl_dim_type set_type;
 893
 894         pw = FN(PW,cow)(pw);
 895         if (!pw)
 896                 return NULL;
 897
 898         set_type = type == isl_dim_in ? isl_dim_set : type;
 899
 900         pw->dim = isl_space_set_dim_name(pw->dim, type, pos, s);
 901         if (!pw->dim)
 902                 goto error;
 903
 904         for (i = 0; i < pw->n; ++i) {
 905                 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set,
 906                                                         set_type, pos, s);
 907                 if (!pw->p[i].set)
 908                         goto error;
 909                 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
 910                 if (!pw->p[i].FIELD)
 911                         goto error;
 912         }
 913
 914         return pw;
 915 error:
 916         FN(PW,free)(pw);
 917         return NULL;
 918 }
 919
 920 #ifndef NO_DROP_DIMS
 921 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
 922         enum isl_dim_type type, unsigned first, unsigned n)
 923 {
 924         int i;
 925         enum isl_dim_type set_type;
 926
 927         if (!pw)
 928                 return NULL;
 929         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 930                 return pw;
 931
 932         set_type = type == isl_dim_in ? isl_dim_set : type;
 933
 934         pw = FN(PW,cow)(pw);
 935         if (!pw)
 936                 return NULL;
 937         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 938         if (!pw->dim)
 939                 goto error;
 940         for (i = 0; i < pw->n; ++i) {
 941                 pw->p[i].set = isl_set_drop(pw->p[i].set, set_type, first, n);
 942                 if (!pw->p[i].set)
 943                         goto error;
 944                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 945                 if (!pw->p[i].FIELD)
 946                         goto error;
 947         }
 948
 949         return pw;
 950 error:
 951         FN(PW,free)(pw);
 952         return NULL;
 953 }
 954
 955 /* This function is very similar to drop_dims.
 956  * The only difference is that the cells may still involve
 957  * the specified dimensions.  They are removed using
 958  * isl_set_project_out instead of isl_set_drop.
 959  */
 960 __isl_give PW *FN(PW,project_out)(__isl_take PW *pw,
 961         enum isl_dim_type type, unsigned first, unsigned n)
 962 {
 963         int i;
 964         enum isl_dim_type set_type;
 965
 966         if (!pw)
 967                 return NULL;
 968         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 969                 return pw;
 970
 971         set_type = type == isl_dim_in ? isl_dim_set : type;
 972
 973         pw = FN(PW,cow)(pw);
 974         if (!pw)
 975                 return NULL;
 976         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 977         if (!pw->dim)
 978                 goto error;
 979         for (i = 0; i < pw->n; ++i) {
 980                 pw->p[i].set = isl_set_project_out(pw->p[i].set,
 981                                                         set_type, first, n);
 982                 if (!pw->p[i].set)
 983                         goto error;
 984                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 985                 if (!pw->p[i].FIELD)
 986                         goto error;
 987         }
 988
 989         return pw;
 990 error:
 991         FN(PW,free)(pw);
 992         return NULL;
 993 }
 994
 995 /* Project the domain of pw onto its parameter space.
 996  */
 997 __isl_give PW *FN(PW,project_domain_on_params)(__isl_take PW *pw)
 998 {
 999         isl_space *space;
1000         unsigned n;
1001
1002         n = FN(PW,dim)(pw, isl_dim_in);
1003         pw = FN(PW,project_out)(pw, isl_dim_in, 0, n);
1004         space = FN(PW,get_domain_space)(pw);
1005         space = isl_space_params(space);
1006         pw = FN(PW,reset_domain_space)(pw, space);
1007         return pw;
1008 }
1009 #endif
1010
1011 #ifndef NO_INSERT_DIMS
1012 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
1013         unsigned first, unsigned n)
1014 {
1015         int i;
1016         enum isl_dim_type set_type;
1017
1018         if (!pw)
1019                 return NULL;
1020         if (n == 0 && !isl_space_is_named_or_nested(pw->dim, type))
1021                 return pw;
1022
1023         set_type = type == isl_dim_in ? isl_dim_set : type;
1024
1025         pw = FN(PW,cow)(pw);
1026         if (!pw)
1027                 return NULL;
1028
1029         pw->dim = isl_space_insert_dims(pw->dim, type, first, n);
1030         if (!pw->dim)
1031                 goto error;
1032
1033         for (i = 0; i < pw->n; ++i) {
1034                 pw->p[i].set = isl_set_insert_dims(pw->p[i].set,
1035                                                             set_type, first, n);
1036                 if (!pw->p[i].set)
1037                         goto error;
1038                 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
1039                                                                 type, first, n);
1040                 if (!pw->p[i].FIELD)
1041                         goto error;
1042         }
1043
1044         return pw;
1045 error:
1046         FN(PW,free)(pw);
1047         return NULL;
1048 }
1049 #endif
1050
1051 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
1052         enum isl_dim_type type, unsigned pos, isl_int v)
1053 {
1054         int i;
1055
1056         if (!pw)
1057                 return NULL;
1058
1059         if (type == isl_dim_in)
1060                 type = isl_dim_set;
1061
1062         pw = FN(PW,cow)(pw);
1063         if (!pw)
1064                 return NULL;
1065         for (i = 0; i < pw->n; ++i) {
1066                 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
1067                 if (!pw->p[i].set)
1068                         goto error;
1069         }
1070
1071         return pw;
1072 error:
1073         FN(PW,free)(pw);
1074         return NULL;
1075 }
1076
1077 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
1078 {
1079         return pw ? isl_space_dim(pw->dim, type) : 0;
1080 }
1081
1082 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
1083         enum isl_dim_type type, unsigned first, unsigned n)
1084 {
1085         int i;
1086
1087         if (!pw)
1088                 return NULL;
1089         if (n == 0)
1090                 return pw;
1091
1092         if (type == isl_dim_in)
1093                 type = isl_dim_set;
1094
1095         pw = FN(PW,cow)(pw);
1096         if (!pw)
1097                 return NULL;
1098         if (!pw->dim)
1099                 goto error;
1100         for (i = 0; i < pw->n; ++i) {
1101                 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
1102                 if (!pw->p[i].set)
1103                         goto error;
1104         }
1105
1106         return pw;
1107 error:
1108         FN(PW,free)(pw);
1109         return NULL;
1110 }
1111
1112 #ifndef NO_OPT
1113 /* Compute the maximal value attained by the piecewise quasipolynomial
1114  * on its domain or zero if the domain is empty.
1115  * In the worst case, the domain is scanned completely,
1116  * so the domain is assumed to be bounded.
1117  */
1118 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
1119 {
1120         int i;
1121         isl_qpolynomial *opt;
1122
1123         if (!pw)
1124                 return NULL;
1125
1126         if (pw->n == 0) {
1127                 isl_space *dim = isl_space_copy(pw->dim);
1128                 FN(PW,free)(pw);
1129                 return isl_qpolynomial_zero_on_domain(isl_space_domain(dim));
1130         }
1131
1132         opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
1133                                         isl_set_copy(pw->p[0].set), max);
1134         for (i = 1; i < pw->n; ++i) {
1135                 isl_qpolynomial *opt_i;
1136                 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
1137                                                 isl_set_copy(pw->p[i].set), max);
1138                 if (max)
1139                         opt = isl_qpolynomial_max_cst(opt, opt_i);
1140                 else
1141                         opt = isl_qpolynomial_min_cst(opt, opt_i);
1142         }
1143
1144         FN(PW,free)(pw);
1145         return opt;
1146 }
1147
1148 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
1149 {
1150         return FN(PW,opt)(pw, 1);
1151 }
1152
1153 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
1154 {
1155         return FN(PW,opt)(pw, 0);
1156 }
1157 #endif
1158
1159 __isl_give isl_space *FN(PW,get_space)(__isl_keep PW *pw)
1160 {
1161         return pw ? isl_space_copy(pw->dim) : NULL;
1162 }
1163
1164 __isl_give isl_space *FN(PW,get_domain_space)(__isl_keep PW *pw)
1165 {
1166         return pw ? isl_space_domain(isl_space_copy(pw->dim)) : NULL;
1167 }
1168
1169 #ifndef NO_RESET_DIM
1170 /* Reset the space of "pw".  Since we don't know if the elements
1171  * represent the spaces themselves or their domains, we pass along
1172  * both when we call their reset_space_and_domain.
1173  */
1174 static __isl_give PW *FN(PW,reset_space_and_domain)(__isl_take PW *pw,
1175         __isl_take isl_space *space, __isl_take isl_space *domain)
1176 {
1177         int i;
1178
1179         pw = FN(PW,cow)(pw);
1180         if (!pw || !space || !domain)
1181                 goto error;
1182
1183         for (i = 0; i < pw->n; ++i) {
1184                 pw->p[i].set = isl_set_reset_space(pw->p[i].set,
1185                                                  isl_space_copy(domain));
1186                 if (!pw->p[i].set)
1187                         goto error;
1188                 pw->p[i].FIELD = FN(EL,reset_space_and_domain)(pw->p[i].FIELD,
1189                               isl_space_copy(space), isl_space_copy(domain));
1190                 if (!pw->p[i].FIELD)
1191                         goto error;
1192         }
1193
1194         isl_space_free(domain);
1195
1196         isl_space_free(pw->dim);
1197         pw->dim = space;
1198
1199         return pw;
1200 error:
1201         isl_space_free(domain);
1202         isl_space_free(space);
1203         FN(PW,free)(pw);
1204         return NULL;
1205 }
1206
1207 __isl_give PW *FN(PW,reset_domain_space)(__isl_take PW *pw,
1208         __isl_take isl_space *domain)
1209 {
1210         isl_space *space;
1211
1212         space = isl_space_extend_domain_with_range(isl_space_copy(domain),
1213                                                    FN(PW,get_space)(pw));
1214         return FN(PW,reset_space_and_domain)(pw, space, domain);
1215 }
1216
1217 __isl_give PW *FN(PW,reset_space)(__isl_take PW *pw, __isl_take isl_space *dim)
1218 {
1219         isl_space *domain;
1220
1221         domain = isl_space_domain(isl_space_copy(dim));
1222         return FN(PW,reset_space_and_domain)(pw, dim, domain);
1223 }
1224
1225 __isl_give PW *FN(PW,set_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type,
1226         __isl_take isl_id *id)
1227 {
1228         isl_space *space;
1229
1230         pw = FN(PW,cow)(pw);
1231         if (!pw)
1232                 return isl_id_free(id);
1233
1234         space = FN(PW,get_space)(pw);
1235         space = isl_space_set_tuple_id(space, type, id);
1236
1237         return FN(PW,reset_space)(pw, space);
1238 }
1239
1240 __isl_give PW *FN(PW,set_dim_id)(__isl_take PW *pw,
1241         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
1242 {
1243         pw = FN(PW,cow)(pw);
1244         if (!pw)
1245                 return isl_id_free(id);
1246         pw->dim = isl_space_set_dim_id(pw->dim, type, pos, id);
1247         return FN(PW,reset_space)(pw, isl_space_copy(pw->dim));
1248 }
1249 #endif
1250
1251 int FN(PW,has_equal_space)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1252 {
1253         if (!pw1 || !pw2)
1254                 return -1;
1255
1256         return isl_space_is_equal(pw1->dim, pw2->dim);
1257 }
1258
1259 #ifndef NO_MORPH
1260 __isl_give PW *FN(PW,morph_domain)(__isl_take PW *pw,
1261         __isl_take isl_morph *morph)
1262 {
1263         int i;
1264         isl_ctx *ctx;
1265
1266         if (!pw || !morph)
1267                 goto error;
1268
1269         ctx = isl_space_get_ctx(pw->dim);
1270         isl_assert(ctx, isl_space_is_domain(morph->dom->dim, pw->dim),
1271                 goto error);
1272
1273         pw = FN(PW,cow)(pw);
1274         if (!pw)
1275                 goto error;
1276         pw->dim = isl_space_extend_domain_with_range(
1277                         isl_space_copy(morph->ran->dim), pw->dim);
1278         if (!pw->dim)
1279                 goto error;
1280
1281         for (i = 0; i < pw->n; ++i) {
1282                 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
1283                 if (!pw->p[i].set)
1284                         goto error;
1285                 pw->p[i].FIELD = FN(EL,morph_domain)(pw->p[i].FIELD,
1286                                                 isl_morph_copy(morph));
1287                 if (!pw->p[i].FIELD)
1288                         goto error;
1289         }
1290
1291         isl_morph_free(morph);
1292
1293         return pw;
1294 error:
1295         FN(PW,free)(pw);
1296         isl_morph_free(morph);
1297         return NULL;
1298 }
1299 #endif
1300
1301 int FN(PW,n_piece)(__isl_keep PW *pw)
1302 {
1303         return pw ? pw->n : 0;
1304 }
1305
1306 int FN(PW,foreach_piece)(__isl_keep PW *pw,
1307         int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
1308         void *user)
1309 {
1310         int i;
1311
1312         if (!pw)
1313                 return -1;
1314
1315         for (i = 0; i < pw->n; ++i)
1316                 if (fn(isl_set_copy(pw->p[i].set),
1317                                 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
1318                         return -1;
1319
1320         return 0;
1321 }
1322
1323 #ifndef NO_LIFT
1324 static int any_divs(__isl_keep isl_set *set)
1325 {
1326         int i;
1327
1328         if (!set)
1329                 return -1;
1330
1331         for (i = 0; i < set->n; ++i)
1332                 if (set->p[i]->n_div > 0)
1333                         return 1;
1334
1335         return 0;
1336 }
1337
1338 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
1339         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1340                     void *user), void *user)
1341 {
1342         int i;
1343
1344         if (!set || !el)
1345                 goto error;
1346
1347         for (i = 0; i < set->n; ++i) {
1348                 isl_set *lift;
1349                 EL *copy;
1350
1351                 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
1352                 lift = isl_set_lift(lift);
1353
1354                 copy = FN(EL,copy)(el);
1355                 copy = FN(EL,lift)(copy, isl_set_get_space(lift));
1356
1357                 if (fn(lift, copy, user) < 0)
1358                         goto error;
1359         }
1360
1361         isl_set_free(set);
1362         FN(EL,free)(el);
1363
1364         return 0;
1365 error:
1366         isl_set_free(set);
1367         FN(EL,free)(el);
1368         return -1;
1369 }
1370
1371 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
1372         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1373                     void *user), void *user)
1374 {
1375         int i;
1376
1377         if (!pw)
1378                 return -1;
1379
1380         for (i = 0; i < pw->n; ++i) {
1381                 isl_set *set;
1382                 EL *el;
1383
1384                 set = isl_set_copy(pw->p[i].set);
1385                 el = FN(EL,copy)(pw->p[i].FIELD);
1386                 if (!any_divs(set)) {
1387                         if (fn(set, el, user) < 0)
1388                                 return -1;
1389                         continue;
1390                 }
1391                 if (foreach_lifted_subset(set, el, fn, user) < 0)
1392                         return -1;
1393         }
1394
1395         return 0;
1396 }
1397 #endif
1398
1399 #ifndef NO_MOVE_DIMS
1400 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
1401         enum isl_dim_type dst_type, unsigned dst_pos,
1402         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1403 {
1404         int i;
1405
1406         pw = FN(PW,cow)(pw);
1407         if (!pw)
1408                 return NULL;
1409
1410         pw->dim = isl_space_move_dims(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
1411         if (!pw->dim)
1412                 goto error;
1413
1414         for (i = 0; i < pw->n; ++i) {
1415                 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
1416                                         dst_type, dst_pos, src_type, src_pos, n);
1417                 if (!pw->p[i].FIELD)
1418                         goto error;
1419         }
1420
1421         if (dst_type == isl_dim_in)
1422                 dst_type = isl_dim_set;
1423         if (src_type == isl_dim_in)
1424                 src_type = isl_dim_set;
1425
1426         for (i = 0; i < pw->n; ++i) {
1427                 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
1428                                                 dst_type, dst_pos,
1429                                                 src_type, src_pos, n);
1430                 if (!pw->p[i].set)
1431                         goto error;
1432         }
1433
1434         return pw;
1435 error:
1436         FN(PW,free)(pw);
1437         return NULL;
1438 }
1439 #endif
1440
1441 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
1442 {
1443         int i;
1444
1445         if (isl_int_is_one(v))
1446                 return pw;
1447         if (pw && DEFAULT_IS_ZERO && isl_int_is_zero(v)) {
1448                 PW *zero;
1449                 isl_space *dim = FN(PW,get_space)(pw);
1450 #ifdef HAS_TYPE
1451                 zero = FN(PW,ZERO)(dim, pw->type);
1452 #else
1453                 zero = FN(PW,ZERO)(dim);
1454 #endif
1455                 FN(PW,free)(pw);
1456                 return zero;
1457         }
1458         pw = FN(PW,cow)(pw);
1459         if (!pw)
1460                 return NULL;
1461         if (pw->n == 0)
1462                 return pw;
1463
1464 #ifdef HAS_TYPE
1465         if (isl_int_is_neg(v))
1466                 pw->type = isl_fold_type_negate(pw->type);
1467 #endif
1468         for (i = 0; i < pw->n; ++i) {
1469                 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);
1470                 if (!pw->p[i].FIELD)
1471                         goto error;
1472         }
1473
1474         return pw;
1475 error:
1476         FN(PW,free)(pw);
1477         return NULL;
1478 }
1479
1480 __isl_give PW *FN(PW,scale)(__isl_take PW *pw, isl_int v)
1481 {
1482         return FN(PW,mul_isl_int)(pw, v);
1483 }
1484
1485 static int FN(PW,qsort_set_cmp)(const void *p1, const void *p2)
1486 {
1487         const isl_set *set1 = *(const isl_set **)p1;
1488         const isl_set *set2 = *(const isl_set **)p2;
1489
1490         return isl_set_plain_cmp(set1, set2);
1491 }
1492
1493 /* We normalize in place, but if anything goes wrong we need
1494  * to return NULL, so we need to make sure we don't change the
1495  * meaning of any possible other copies of map.
1496  */
1497 __isl_give PW *FN(PW,normalize)(__isl_take PW *pw)
1498 {
1499         int i, j;
1500         isl_set *set;
1501
1502         if (!pw)
1503                 return NULL;
1504         for (i = 0; i < pw->n; ++i) {
1505                 set = isl_set_normalize(isl_set_copy(pw->p[i].set));
1506                 if (!set)
1507                         return FN(PW,free)(pw);
1508                 isl_set_free(pw->p[i].set);
1509                 pw->p[i].set = set;
1510         }
1511         qsort(pw->p, pw->n, sizeof(pw->p[0]), &FN(PW,qsort_set_cmp));
1512         for (i = pw->n - 1; i >= 1; --i) {
1513                 if (!isl_set_plain_is_equal(pw->p[i - 1].set, pw->p[i].set))
1514                         continue;
1515                 if (!FN(EL,plain_is_equal)(pw->p[i - 1].FIELD, pw->p[i].FIELD))
1516                         continue;
1517                 set = isl_set_union(isl_set_copy(pw->p[i - 1].set),
1518                                     isl_set_copy(pw->p[i].set));
1519                 if (!set)
1520                         return FN(PW,free)(pw);
1521                 isl_set_free(pw->p[i].set);
1522                 FN(EL,free)(pw->p[i].FIELD);
1523                 isl_set_free(pw->p[i - 1].set);
1524                 pw->p[i - 1].set = set;
1525                 for (j = i + 1; j < pw->n; ++j)
1526                         pw->p[j - 1] = pw->p[j];
1527                 pw->n--;
1528         }
1529
1530         return pw;
1531 }
1532
1533 /* Is pw1 obviously equal to pw2?
1534  * That is, do they have obviously identical cells and obviously identical
1535  * elements on each cell?
1536  */
1537 int FN(PW,plain_is_equal)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1538 {
1539         int i;
1540         int equal;
1541
1542         if (!pw1 || !pw2)
1543                 return -1;
1544
1545         if (pw1 == pw2)
1546                 return 1;
1547         if (!isl_space_is_equal(pw1->dim, pw2->dim))
1548                 return 0;
1549
1550         pw1 = FN(PW,copy)(pw1);
1551         pw2 = FN(PW,copy)(pw2);
1552         pw1 = FN(PW,normalize)(pw1);
1553         pw2 = FN(PW,normalize)(pw2);
1554         if (!pw1 || !pw2)
1555                 goto error;
1556
1557         equal = pw1->n == pw2->n;
1558         for (i = 0; equal && i < pw1->n; ++i) {
1559                 equal = isl_set_plain_is_equal(pw1->p[i].set, pw2->p[i].set);
1560                 if (equal < 0)
1561                         goto error;
1562                 if (!equal)
1563                         break;
1564                 equal = FN(EL,plain_is_equal)(pw1->p[i].FIELD, pw2->p[i].FIELD);
1565                 if (equal < 0)
1566                         goto error;
1567         }
1568
1569         FN(PW,free)(pw1);
1570         FN(PW,free)(pw2);
1571         return equal;
1572 error:
1573         FN(PW,free)(pw1);
1574         FN(PW,free)(pw2);
1575         return -1;
1576 }