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                         set = isl_set_subtract(set,
 375                                         isl_set_copy(pw2->p[j].set));
 376                         common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
 377                                                 isl_set_copy(pw2->p[j].set));
 378                         if (isl_set_plain_is_empty(common)) {
 379                                 isl_set_free(common);
 380                                 continue;
 381                         }
 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
 553                         res = FN(PW,add_piece)(res, common, res_ij);
 554                 }
 555         }
 556
 557         FN(PW,free)(pw1);
 558         FN(PW,free)(pw2);
 559         return res;
 560 error:
 561         FN(PW,free)(pw1);
 562         FN(PW,free)(pw2);
 563         return NULL;
 564 }
 565
 566 #ifndef NO_NEG
 567 __isl_give PW *FN(PW,neg)(__isl_take PW *pw)
 568 {
 569         int i;
 570
 571         if (!pw)
 572                 return NULL;
 573
 574         if (FN(PW,IS_ZERO)(pw))
 575                 return pw;
 576
 577         pw = FN(PW,cow)(pw);
 578         if (!pw)
 579                 return NULL;
 580
 581         for (i = 0; i < pw->n; ++i) {
 582                 pw->p[i].FIELD = FN(EL,neg)(pw->p[i].FIELD);
 583                 if (!pw->p[i].FIELD)
 584                         return FN(PW,free)(pw);
 585         }
 586
 587         return pw;
 588 }
 589
 590 __isl_give PW *FN(PW,sub)(__isl_take PW *pw1, __isl_take PW *pw2)
 591 {
 592         return FN(PW,add)(pw1, FN(PW,neg)(pw2));
 593 }
 594 #endif
 595
 596 #ifndef NO_EVAL
 597 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
 598         __isl_take isl_point *pnt)
 599 {
 600         int i;
 601         int found = 0;
 602         isl_ctx *ctx;
 603         isl_space *pnt_dim = NULL;
 604         isl_qpolynomial *qp;
 605
 606         if (!pw || !pnt)
 607                 goto error;
 608         ctx = isl_point_get_ctx(pnt);
 609         pnt_dim = isl_point_get_space(pnt);
 610         isl_assert(ctx, isl_space_is_domain(pnt_dim, pw->dim), goto error);
 611
 612         for (i = 0; i < pw->n; ++i) {
 613                 found = isl_set_contains_point(pw->p[i].set, pnt);
 614                 if (found < 0)
 615                         goto error;
 616                 if (found)
 617                         break;
 618         }
 619         if (found)
 620                 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
 621                                             isl_point_copy(pnt));
 622         else
 623                 qp = isl_qpolynomial_zero_on_domain(FN(PW,get_domain_space)(pw));
 624         FN(PW,free)(pw);
 625         isl_space_free(pnt_dim);
 626         isl_point_free(pnt);
 627         return qp;
 628 error:
 629         FN(PW,free)(pw);
 630         isl_space_free(pnt_dim);
 631         isl_point_free(pnt);
 632         return NULL;
 633 }
 634 #endif
 635
 636 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
 637 {
 638         int i;
 639         isl_set *dom;
 640
 641         if (!pw)
 642                 return NULL;
 643
 644         dom = isl_set_empty(FN(PW,get_domain_space)(pw));
 645         for (i = 0; i < pw->n; ++i)
 646                 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
 647
 648         FN(PW,free)(pw);
 649
 650         return dom;
 651 }
 652
 653 /* Restrict the domain of "pw" by combining each cell
 654  * with "set" through a call to "fn", where "fn" may be
 655  * isl_set_intersect or isl_set_intersect_params.
 656  */
 657 static __isl_give PW *FN(PW,intersect_aligned)(__isl_take PW *pw,
 658         __isl_take isl_set *set,
 659         __isl_give isl_set *(*fn)(__isl_take isl_set *set1,
 660                                     __isl_take isl_set *set2))
 661 {
 662         int i;
 663
 664         if (!pw || !set)
 665                 goto error;
 666
 667         if (pw->n == 0) {
 668                 isl_set_free(set);
 669                 return pw;
 670         }
 671
 672         pw = FN(PW,cow)(pw);
 673         if (!pw)
 674                 goto error;
 675
 676         for (i = pw->n - 1; i >= 0; --i) {
 677                 isl_basic_set *aff;
 678                 pw->p[i].set = fn(pw->p[i].set, isl_set_copy(set));
 679                 if (!pw->p[i].set)
 680                         goto error;
 681                 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
 682                 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
 683                                                                 aff);
 684                 if (!pw->p[i].FIELD)
 685                         goto error;
 686                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 687                         isl_set_free(pw->p[i].set);
 688                         FN(EL,free)(pw->p[i].FIELD);
 689                         if (i != pw->n - 1)
 690                                 pw->p[i] = pw->p[pw->n - 1];
 691                         pw->n--;
 692                 }
 693         }
 694
 695         isl_set_free(set);
 696         return pw;
 697 error:
 698         isl_set_free(set);
 699         FN(PW,free)(pw);
 700         return NULL;
 701 }
 702
 703 static __isl_give PW *FN(PW,intersect_domain_aligned)(__isl_take PW *pw,
 704         __isl_take isl_set *set)
 705 {
 706         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect);
 707 }
 708
 709 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw,
 710         __isl_take isl_set *context)
 711 {
 712         return FN(PW,align_params_pw_set_and)(pw, context,
 713                                         &FN(PW,intersect_domain_aligned));
 714 }
 715
 716 static __isl_give PW *FN(PW,intersect_params_aligned)(__isl_take PW *pw,
 717         __isl_take isl_set *set)
 718 {
 719         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect_params);
 720 }
 721
 722 /* Intersect the domain of "pw" with the parameter domain "context".
 723  */
 724 __isl_give PW *FN(PW,intersect_params)(__isl_take PW *pw,
 725         __isl_take isl_set *context)
 726 {
 727         return FN(PW,align_params_pw_set_and)(pw, context,
 728                                         &FN(PW,intersect_params_aligned));
 729 }
 730
 731 static __isl_give PW *FN(PW,gist_aligned)(__isl_take PW *pw,
 732         __isl_take isl_set *context,
 733         __isl_give EL *(*fn_el)(__isl_take EL *el,
 734                                     __isl_take isl_set *set),
 735         __isl_give isl_set *(*fn_dom)(__isl_take isl_set *set,
 736                                     __isl_take isl_basic_set *bset))
 737 {
 738         int i;
 739         isl_basic_set *hull = NULL;
 740
 741         if (!pw || !context)
 742                 goto error;
 743
 744         if (pw->n == 0) {
 745                 isl_set_free(context);
 746                 return pw;
 747         }
 748
 749         if (!isl_space_match(pw->dim, isl_dim_param,
 750                                 context->dim, isl_dim_param)) {
 751                 pw = FN(PW,align_params)(pw, isl_set_get_space(context));
 752                 context = isl_set_align_params(context, FN(PW,get_space)(pw));
 753         }
 754
 755         context = isl_set_compute_divs(context);
 756         hull = isl_set_simple_hull(isl_set_copy(context));
 757
 758         pw = FN(PW,cow)(pw);
 759         if (!pw)
 760                 goto error;
 761
 762         for (i = pw->n - 1; i >= 0; --i) {
 763                 pw->p[i].set = isl_set_intersect(pw->p[i].set,
 764                                                  isl_set_copy(context));
 765                 if (!pw->p[i].set)
 766                         goto error;
 767                 pw->p[i].FIELD = fn_el(pw->p[i].FIELD,
 768                                              isl_set_copy(pw->p[i].set));
 769                 pw->p[i].set = fn_dom(pw->p[i].set, isl_basic_set_copy(hull));
 770                 if (!pw->p[i].set)
 771                         goto error;
 772                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 773                         isl_set_free(pw->p[i].set);
 774                         FN(EL,free)(pw->p[i].FIELD);
 775                         if (i != pw->n - 1)
 776                                 pw->p[i] = pw->p[pw->n - 1];
 777                         pw->n--;
 778                 }
 779         }
 780
 781         isl_basic_set_free(hull);
 782         isl_set_free(context);
 783
 784         return pw;
 785 error:
 786         FN(PW,free)(pw);
 787         isl_basic_set_free(hull);
 788         isl_set_free(context);
 789         return NULL;
 790 }
 791
 792 static __isl_give PW *FN(PW,gist_domain_aligned)(__isl_take PW *pw,
 793         __isl_take isl_set *set)
 794 {
 795         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist),
 796                                         &isl_set_gist_basic_set);
 797 }
 798
 799 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
 800 {
 801         return FN(PW,align_params_pw_set_and)(pw, context,
 802                                                 &FN(PW,gist_domain_aligned));
 803 }
 804
 805 static __isl_give PW *FN(PW,gist_params_aligned)(__isl_take PW *pw,
 806         __isl_take isl_set *set)
 807 {
 808         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist_params),
 809                                         &isl_set_gist_params_basic_set);
 810 }
 811
 812 __isl_give PW *FN(PW,gist_params)(__isl_take PW *pw,
 813         __isl_take isl_set *context)
 814 {
 815         return FN(PW,align_params_pw_set_and)(pw, context,
 816                                                 &FN(PW,gist_params_aligned));
 817 }
 818
 819 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
 820 {
 821         int i, j;
 822
 823         if (!pw)
 824                 return NULL;
 825         if (pw->n == 0)
 826                 return pw;
 827
 828         for (i = pw->n - 1; i >= 0; --i) {
 829                 for (j = i - 1; j >= 0; --j) {
 830                         if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
 831                                                         pw->p[j].FIELD))
 832                                 continue;
 833                         pw->p[j].set = isl_set_union(pw->p[j].set,
 834                                                         pw->p[i].set);
 835                         FN(EL,free)(pw->p[i].FIELD);
 836                         if (i != pw->n - 1)
 837                                 pw->p[i] = pw->p[pw->n - 1];
 838                         pw->n--;
 839                         break;
 840                 }
 841                 if (j >= 0)
 842                         continue;
 843                 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
 844                 if (!pw->p[i].set)
 845                         goto error;
 846         }
 847
 848         return pw;
 849 error:
 850         FN(PW,free)(pw);
 851         return NULL;
 852 }
 853
 854 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
 855 {
 856         return pw ? isl_space_get_ctx(pw->dim) : NULL;
 857 }
 858
 859 #ifndef NO_INVOLVES_DIMS
 860 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
 861         unsigned first, unsigned n)
 862 {
 863         int i;
 864         enum isl_dim_type set_type;
 865
 866         if (!pw)
 867                 return -1;
 868         if (pw->n == 0 || n == 0)
 869                 return 0;
 870
 871         set_type = type == isl_dim_in ? isl_dim_set : type;
 872
 873         for (i = 0; i < pw->n; ++i) {
 874                 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
 875                                                         type, first, n);
 876                 if (involves < 0 || involves)
 877                         return involves;
 878                 involves = isl_set_involves_dims(pw->p[i].set,
 879                                                         set_type, first, n);
 880                 if (involves < 0 || involves)
 881                         return involves;
 882         }
 883         return 0;
 884 }
 885 #endif
 886
 887 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
 888         enum isl_dim_type type, unsigned pos, const char *s)
 889 {
 890         int i;
 891         enum isl_dim_type set_type;
 892
 893         pw = FN(PW,cow)(pw);
 894         if (!pw)
 895                 return NULL;
 896
 897         set_type = type == isl_dim_in ? isl_dim_set : type;
 898
 899         pw->dim = isl_space_set_dim_name(pw->dim, type, pos, s);
 900         if (!pw->dim)
 901                 goto error;
 902
 903         for (i = 0; i < pw->n; ++i) {
 904                 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set,
 905                                                         set_type, pos, s);
 906                 if (!pw->p[i].set)
 907                         goto error;
 908                 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
 909                 if (!pw->p[i].FIELD)
 910                         goto error;
 911         }
 912
 913         return pw;
 914 error:
 915         FN(PW,free)(pw);
 916         return NULL;
 917 }
 918
 919 #ifndef NO_DROP_DIMS
 920 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
 921         enum isl_dim_type type, unsigned first, unsigned n)
 922 {
 923         int i;
 924         enum isl_dim_type set_type;
 925
 926         if (!pw)
 927                 return NULL;
 928         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 929                 return pw;
 930
 931         set_type = type == isl_dim_in ? isl_dim_set : type;
 932
 933         pw = FN(PW,cow)(pw);
 934         if (!pw)
 935                 return NULL;
 936         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 937         if (!pw->dim)
 938                 goto error;
 939         for (i = 0; i < pw->n; ++i) {
 940                 pw->p[i].set = isl_set_drop(pw->p[i].set, set_type, first, n);
 941                 if (!pw->p[i].set)
 942                         goto error;
 943                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 944                 if (!pw->p[i].FIELD)
 945                         goto error;
 946         }
 947
 948         return pw;
 949 error:
 950         FN(PW,free)(pw);
 951         return NULL;
 952 }
 953
 954 /* This function is very similar to drop_dims.
 955  * The only difference is that the cells may still involve
 956  * the specified dimensions.  They are removed using
 957  * isl_set_project_out instead of isl_set_drop.
 958  */
 959 __isl_give PW *FN(PW,project_out)(__isl_take PW *pw,
 960         enum isl_dim_type type, unsigned first, unsigned n)
 961 {
 962         int i;
 963         enum isl_dim_type set_type;
 964
 965         if (!pw)
 966                 return NULL;
 967         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 968                 return pw;
 969
 970         set_type = type == isl_dim_in ? isl_dim_set : type;
 971
 972         pw = FN(PW,cow)(pw);
 973         if (!pw)
 974                 return NULL;
 975         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 976         if (!pw->dim)
 977                 goto error;
 978         for (i = 0; i < pw->n; ++i) {
 979                 pw->p[i].set = isl_set_project_out(pw->p[i].set,
 980                                                         set_type, first, n);
 981                 if (!pw->p[i].set)
 982                         goto error;
 983                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 984                 if (!pw->p[i].FIELD)
 985                         goto error;
 986         }
 987
 988         return pw;
 989 error:
 990         FN(PW,free)(pw);
 991         return NULL;
 992 }
 993
 994 /* Project the domain of pw onto its parameter space.
 995  */
 996 __isl_give PW *FN(PW,project_domain_on_params)(__isl_take PW *pw)
 997 {
 998         isl_space *space;
 999         unsigned n;
1000
1001         n = FN(PW,dim)(pw, isl_dim_in);
1002         pw = FN(PW,project_out)(pw, isl_dim_in, 0, n);
1003         space = FN(PW,get_domain_space)(pw);
1004         space = isl_space_params(space);
1005         pw = FN(PW,reset_domain_space)(pw, space);
1006         return pw;
1007 }
1008 #endif
1009
1010 #ifndef NO_INSERT_DIMS
1011 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
1012         unsigned first, unsigned n)
1013 {
1014         int i;
1015         enum isl_dim_type set_type;
1016
1017         if (!pw)
1018                 return NULL;
1019         if (n == 0 && !isl_space_is_named_or_nested(pw->dim, type))
1020                 return pw;
1021
1022         set_type = type == isl_dim_in ? isl_dim_set : type;
1023
1024         pw = FN(PW,cow)(pw);
1025         if (!pw)
1026                 return NULL;
1027
1028         pw->dim = isl_space_insert_dims(pw->dim, type, first, n);
1029         if (!pw->dim)
1030                 goto error;
1031
1032         for (i = 0; i < pw->n; ++i) {
1033                 pw->p[i].set = isl_set_insert_dims(pw->p[i].set,
1034                                                             set_type, first, n);
1035                 if (!pw->p[i].set)
1036                         goto error;
1037                 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
1038                                                                 type, first, n);
1039                 if (!pw->p[i].FIELD)
1040                         goto error;
1041         }
1042
1043         return pw;
1044 error:
1045         FN(PW,free)(pw);
1046         return NULL;
1047 }
1048 #endif
1049
1050 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
1051         enum isl_dim_type type, unsigned pos, isl_int v)
1052 {
1053         int i;
1054
1055         if (!pw)
1056                 return NULL;
1057
1058         if (type == isl_dim_in)
1059                 type = isl_dim_set;
1060
1061         pw = FN(PW,cow)(pw);
1062         if (!pw)
1063                 return NULL;
1064         for (i = 0; i < pw->n; ++i) {
1065                 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
1066                 if (!pw->p[i].set)
1067                         goto error;
1068         }
1069
1070         return pw;
1071 error:
1072         FN(PW,free)(pw);
1073         return NULL;
1074 }
1075
1076 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
1077 {
1078         return pw ? isl_space_dim(pw->dim, type) : 0;
1079 }
1080
1081 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
1082         enum isl_dim_type type, unsigned first, unsigned n)
1083 {
1084         int i;
1085
1086         if (!pw)
1087                 return NULL;
1088         if (n == 0)
1089                 return pw;
1090
1091         if (type == isl_dim_in)
1092                 type = isl_dim_set;
1093
1094         pw = FN(PW,cow)(pw);
1095         if (!pw)
1096                 return NULL;
1097         if (!pw->dim)
1098                 goto error;
1099         for (i = 0; i < pw->n; ++i) {
1100                 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
1101                 if (!pw->p[i].set)
1102                         goto error;
1103         }
1104
1105         return pw;
1106 error:
1107         FN(PW,free)(pw);
1108         return NULL;
1109 }
1110
1111 #ifndef NO_OPT
1112 /* Compute the maximal value attained by the piecewise quasipolynomial
1113  * on its domain or zero if the domain is empty.
1114  * In the worst case, the domain is scanned completely,
1115  * so the domain is assumed to be bounded.
1116  */
1117 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
1118 {
1119         int i;
1120         isl_qpolynomial *opt;
1121
1122         if (!pw)
1123                 return NULL;
1124
1125         if (pw->n == 0) {
1126                 isl_space *dim = isl_space_copy(pw->dim);
1127                 FN(PW,free)(pw);
1128                 return isl_qpolynomial_zero_on_domain(isl_space_domain(dim));
1129         }
1130
1131         opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
1132                                         isl_set_copy(pw->p[0].set), max);
1133         for (i = 1; i < pw->n; ++i) {
1134                 isl_qpolynomial *opt_i;
1135                 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
1136                                                 isl_set_copy(pw->p[i].set), max);
1137                 if (max)
1138                         opt = isl_qpolynomial_max_cst(opt, opt_i);
1139                 else
1140                         opt = isl_qpolynomial_min_cst(opt, opt_i);
1141         }
1142
1143         FN(PW,free)(pw);
1144         return opt;
1145 }
1146
1147 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
1148 {
1149         return FN(PW,opt)(pw, 1);
1150 }
1151
1152 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
1153 {
1154         return FN(PW,opt)(pw, 0);
1155 }
1156 #endif
1157
1158 __isl_give isl_space *FN(PW,get_space)(__isl_keep PW *pw)
1159 {
1160         return pw ? isl_space_copy(pw->dim) : NULL;
1161 }
1162
1163 __isl_give isl_space *FN(PW,get_domain_space)(__isl_keep PW *pw)
1164 {
1165         return pw ? isl_space_domain(isl_space_copy(pw->dim)) : NULL;
1166 }
1167
1168 #ifndef NO_RESET_DIM
1169 /* Reset the space of "pw".  Since we don't know if the elements
1170  * represent the spaces themselves or their domains, we pass along
1171  * both when we call their reset_space_and_domain.
1172  */
1173 static __isl_give PW *FN(PW,reset_space_and_domain)(__isl_take PW *pw,
1174         __isl_take isl_space *space, __isl_take isl_space *domain)
1175 {
1176         int i;
1177
1178         pw = FN(PW,cow)(pw);
1179         if (!pw || !space || !domain)
1180                 goto error;
1181
1182         for (i = 0; i < pw->n; ++i) {
1183                 pw->p[i].set = isl_set_reset_space(pw->p[i].set,
1184                                                  isl_space_copy(domain));
1185                 if (!pw->p[i].set)
1186                         goto error;
1187                 pw->p[i].FIELD = FN(EL,reset_space_and_domain)(pw->p[i].FIELD,
1188                               isl_space_copy(space), isl_space_copy(domain));
1189                 if (!pw->p[i].FIELD)
1190                         goto error;
1191         }
1192
1193         isl_space_free(domain);
1194
1195         isl_space_free(pw->dim);
1196         pw->dim = space;
1197
1198         return pw;
1199 error:
1200         isl_space_free(domain);
1201         isl_space_free(space);
1202         FN(PW,free)(pw);
1203         return NULL;
1204 }
1205
1206 __isl_give PW *FN(PW,reset_domain_space)(__isl_take PW *pw,
1207         __isl_take isl_space *domain)
1208 {
1209         isl_space *space;
1210
1211         space = isl_space_extend_domain_with_range(isl_space_copy(domain),
1212                                                    FN(PW,get_space)(pw));
1213         return FN(PW,reset_space_and_domain)(pw, space, domain);
1214 }
1215
1216 __isl_give PW *FN(PW,reset_space)(__isl_take PW *pw, __isl_take isl_space *dim)
1217 {
1218         isl_space *domain;
1219
1220         domain = isl_space_domain(isl_space_copy(dim));
1221         return FN(PW,reset_space_and_domain)(pw, dim, domain);
1222 }
1223
1224 __isl_give PW *FN(PW,set_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type,
1225         __isl_take isl_id *id)
1226 {
1227         isl_space *space;
1228
1229         pw = FN(PW,cow)(pw);
1230         if (!pw)
1231                 return isl_id_free(id);
1232
1233         space = FN(PW,get_space)(pw);
1234         space = isl_space_set_tuple_id(space, type, id);
1235
1236         return FN(PW,reset_space)(pw, space);
1237 }
1238
1239 __isl_give PW *FN(PW,set_dim_id)(__isl_take PW *pw,
1240         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
1241 {
1242         pw = FN(PW,cow)(pw);
1243         if (!pw)
1244                 return isl_id_free(id);
1245         pw->dim = isl_space_set_dim_id(pw->dim, type, pos, id);
1246         return FN(PW,reset_space)(pw, isl_space_copy(pw->dim));
1247 }
1248 #endif
1249
1250 int FN(PW,has_equal_space)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1251 {
1252         if (!pw1 || !pw2)
1253                 return -1;
1254
1255         return isl_space_is_equal(pw1->dim, pw2->dim);
1256 }
1257
1258 #ifndef NO_MORPH
1259 __isl_give PW *FN(PW,morph_domain)(__isl_take PW *pw,
1260         __isl_take isl_morph *morph)
1261 {
1262         int i;
1263         isl_ctx *ctx;
1264
1265         if (!pw || !morph)
1266                 goto error;
1267
1268         ctx = isl_space_get_ctx(pw->dim);
1269         isl_assert(ctx, isl_space_is_domain(morph->dom->dim, pw->dim),
1270                 goto error);
1271
1272         pw = FN(PW,cow)(pw);
1273         if (!pw)
1274                 goto error;
1275         pw->dim = isl_space_extend_domain_with_range(
1276                         isl_space_copy(morph->ran->dim), pw->dim);
1277         if (!pw->dim)
1278                 goto error;
1279
1280         for (i = 0; i < pw->n; ++i) {
1281                 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
1282                 if (!pw->p[i].set)
1283                         goto error;
1284                 pw->p[i].FIELD = FN(EL,morph_domain)(pw->p[i].FIELD,
1285                                                 isl_morph_copy(morph));
1286                 if (!pw->p[i].FIELD)
1287                         goto error;
1288         }
1289
1290         isl_morph_free(morph);
1291
1292         return pw;
1293 error:
1294         FN(PW,free)(pw);
1295         isl_morph_free(morph);
1296         return NULL;
1297 }
1298 #endif
1299
1300 int FN(PW,foreach_piece)(__isl_keep PW *pw,
1301         int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
1302         void *user)
1303 {
1304         int i;
1305
1306         if (!pw)
1307                 return -1;
1308
1309         for (i = 0; i < pw->n; ++i)
1310                 if (fn(isl_set_copy(pw->p[i].set),
1311                                 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
1312                         return -1;
1313
1314         return 0;
1315 }
1316
1317 #ifndef NO_LIFT
1318 static int any_divs(__isl_keep isl_set *set)
1319 {
1320         int i;
1321
1322         if (!set)
1323                 return -1;
1324
1325         for (i = 0; i < set->n; ++i)
1326                 if (set->p[i]->n_div > 0)
1327                         return 1;
1328
1329         return 0;
1330 }
1331
1332 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
1333         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1334                     void *user), void *user)
1335 {
1336         int i;
1337
1338         if (!set || !el)
1339                 goto error;
1340
1341         for (i = 0; i < set->n; ++i) {
1342                 isl_set *lift;
1343                 EL *copy;
1344
1345                 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
1346                 lift = isl_set_lift(lift);
1347
1348                 copy = FN(EL,copy)(el);
1349                 copy = FN(EL,lift)(copy, isl_set_get_space(lift));
1350
1351                 if (fn(lift, copy, user) < 0)
1352                         goto error;
1353         }
1354
1355         isl_set_free(set);
1356         FN(EL,free)(el);
1357
1358         return 0;
1359 error:
1360         isl_set_free(set);
1361         FN(EL,free)(el);
1362         return -1;
1363 }
1364
1365 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
1366         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1367                     void *user), void *user)
1368 {
1369         int i;
1370
1371         if (!pw)
1372                 return -1;
1373
1374         for (i = 0; i < pw->n; ++i) {
1375                 isl_set *set;
1376                 EL *el;
1377
1378                 set = isl_set_copy(pw->p[i].set);
1379                 el = FN(EL,copy)(pw->p[i].FIELD);
1380                 if (!any_divs(set)) {
1381                         if (fn(set, el, user) < 0)
1382                                 return -1;
1383                         continue;
1384                 }
1385                 if (foreach_lifted_subset(set, el, fn, user) < 0)
1386                         return -1;
1387         }
1388
1389         return 0;
1390 }
1391 #endif
1392
1393 #ifndef NO_MOVE_DIMS
1394 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
1395         enum isl_dim_type dst_type, unsigned dst_pos,
1396         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1397 {
1398         int i;
1399
1400         pw = FN(PW,cow)(pw);
1401         if (!pw)
1402                 return NULL;
1403
1404         pw->dim = isl_space_move_dims(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
1405         if (!pw->dim)
1406                 goto error;
1407
1408         for (i = 0; i < pw->n; ++i) {
1409                 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
1410                                         dst_type, dst_pos, src_type, src_pos, n);
1411                 if (!pw->p[i].FIELD)
1412                         goto error;
1413         }
1414
1415         if (dst_type == isl_dim_in)
1416                 dst_type = isl_dim_set;
1417         if (src_type == isl_dim_in)
1418                 src_type = isl_dim_set;
1419
1420         for (i = 0; i < pw->n; ++i) {
1421                 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
1422                                                 dst_type, dst_pos,
1423                                                 src_type, src_pos, n);
1424                 if (!pw->p[i].set)
1425                         goto error;
1426         }
1427
1428         return pw;
1429 error:
1430         FN(PW,free)(pw);
1431         return NULL;
1432 }
1433 #endif
1434
1435 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
1436 {
1437         int i;
1438
1439         if (isl_int_is_one(v))
1440                 return pw;
1441         if (pw && DEFAULT_IS_ZERO && isl_int_is_zero(v)) {
1442                 PW *zero;
1443                 isl_space *dim = FN(PW,get_space)(pw);
1444 #ifdef HAS_TYPE
1445                 zero = FN(PW,ZERO)(dim, pw->type);
1446 #else
1447                 zero = FN(PW,ZERO)(dim);
1448 #endif
1449                 FN(PW,free)(pw);
1450                 return zero;
1451         }
1452         pw = FN(PW,cow)(pw);
1453         if (!pw)
1454                 return NULL;
1455         if (pw->n == 0)
1456                 return pw;
1457
1458 #ifdef HAS_TYPE
1459         if (isl_int_is_neg(v))
1460                 pw->type = isl_fold_type_negate(pw->type);
1461 #endif
1462         for (i = 0; i < pw->n; ++i) {
1463                 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);
1464                 if (!pw->p[i].FIELD)
1465                         goto error;
1466         }
1467
1468         return pw;
1469 error:
1470         FN(PW,free)(pw);
1471         return NULL;
1472 }
1473
1474 __isl_give PW *FN(PW,scale)(__isl_take PW *pw, isl_int v)
1475 {
1476         return FN(PW,mul_isl_int)(pw, v);
1477 }
1478
1479 static int FN(PW,qsort_set_cmp)(const void *p1, const void *p2)
1480 {
1481         const isl_set *set1 = *(const isl_set **)p1;
1482         const isl_set *set2 = *(const isl_set **)p2;
1483
1484         return isl_set_plain_cmp(set1, set2);
1485 }
1486
1487 /* We normalize in place, but if anything goes wrong we need
1488  * to return NULL, so we need to make sure we don't change the
1489  * meaning of any possible other copies of map.
1490  */
1491 __isl_give PW *FN(PW,normalize)(__isl_take PW *pw)
1492 {
1493         int i, j;
1494         isl_set *set;
1495
1496         if (!pw)
1497                 return NULL;
1498         for (i = 0; i < pw->n; ++i) {
1499                 set = isl_set_normalize(isl_set_copy(pw->p[i].set));
1500                 if (!set)
1501                         return FN(PW,free)(pw);
1502                 isl_set_free(pw->p[i].set);
1503                 pw->p[i].set = set;
1504         }
1505         qsort(pw->p, pw->n, sizeof(pw->p[0]), &FN(PW,qsort_set_cmp));
1506         for (i = pw->n - 1; i >= 1; --i) {
1507                 if (!isl_set_plain_is_equal(pw->p[i - 1].set, pw->p[i].set))
1508                         continue;
1509                 if (!FN(EL,plain_is_equal)(pw->p[i - 1].FIELD, pw->p[i].FIELD))
1510                         continue;
1511                 set = isl_set_union(isl_set_copy(pw->p[i - 1].set),
1512                                     isl_set_copy(pw->p[i].set));
1513                 if (!set)
1514                         return FN(PW,free)(pw);
1515                 isl_set_free(pw->p[i].set);
1516                 FN(EL,free)(pw->p[i].FIELD);
1517                 isl_set_free(pw->p[i - 1].set);
1518                 pw->p[i - 1].set = set;
1519                 for (j = i + 1; j < pw->n; ++j)
1520                         pw->p[j - 1] = pw->p[j];
1521                 pw->n--;
1522         }
1523
1524         return pw;
1525 }
1526
1527 /* Is pw1 obviously equal to pw2?
1528  * That is, do they have obviously identical cells and obviously identical
1529  * elements on each cell?
1530  */
1531 int FN(PW,plain_is_equal)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1532 {
1533         int i;
1534         int equal;
1535
1536         if (!pw1 || !pw2)
1537                 return -1;
1538
1539         if (pw1 == pw2)
1540                 return 1;
1541         if (!isl_space_is_equal(pw1->dim, pw2->dim))
1542                 return 0;
1543
1544         pw1 = FN(PW,copy)(pw1);
1545         pw2 = FN(PW,copy)(pw2);
1546         pw1 = FN(PW,normalize)(pw1);
1547         pw2 = FN(PW,normalize)(pw2);
1548         if (!pw1 || !pw2)
1549                 goto error;
1550
1551         equal = pw1->n == pw2->n;
1552         for (i = 0; equal && i < pw1->n; ++i) {
1553                 equal = isl_set_plain_is_equal(pw1->p[i].set, pw2->p[i].set);
1554                 if (equal < 0)
1555                         goto error;
1556                 if (!equal)
1557                         break;
1558                 equal = FN(EL,plain_is_equal)(pw1->p[i].FIELD, pw2->p[i].FIELD);
1559                 if (equal < 0)
1560                         goto error;
1561         }
1562
1563         FN(PW,free)(pw1);
1564         FN(PW,free)(pw2);
1565         return equal;
1566 error:
1567         FN(PW,free)(pw1);
1568         FN(PW,free)(pw2);
1569         return -1;
1570 }