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 int FN(PW,has_tuple_name)(__isl_keep PW *pw, enum isl_dim_type type)
 194 {
 195         return pw ? isl_space_has_tuple_name(pw->dim, type) : -1;
 196 }
 197
 198 const char *FN(PW,get_tuple_name)(__isl_keep PW *pw, enum isl_dim_type type)
 199 {
 200         return pw ? isl_space_get_tuple_name(pw->dim, type) : NULL;
 201 }
 202
 203 int FN(PW,has_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
 204 {
 205         return pw ? isl_space_has_tuple_id(pw->dim, type) : -1;
 206 }
 207
 208 __isl_give isl_id *FN(PW,get_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
 209 {
 210         return pw ? isl_space_get_tuple_id(pw->dim, type) : NULL;
 211 }
 212
 213 int FN(PW,IS_ZERO)(__isl_keep PW *pw)
 214 {
 215         if (!pw)
 216                 return -1;
 217
 218         return pw->n == 0;
 219 }
 220
 221 #ifndef NO_REALIGN
 222 __isl_give PW *FN(PW,realign_domain)(__isl_take PW *pw,
 223         __isl_take isl_reordering *exp)
 224 {
 225         int i;
 226
 227         pw = FN(PW,cow)(pw);
 228         if (!pw || !exp)
 229                 goto error;
 230
 231         for (i = 0; i < pw->n; ++i) {
 232                 pw->p[i].set = isl_set_realign(pw->p[i].set,
 233                                                     isl_reordering_copy(exp));
 234                 if (!pw->p[i].set)
 235                         goto error;
 236                 pw->p[i].FIELD = FN(EL,realign_domain)(pw->p[i].FIELD,
 237                                                     isl_reordering_copy(exp));
 238                 if (!pw->p[i].FIELD)
 239                         goto error;
 240         }
 241
 242         pw = FN(PW,reset_domain_space)(pw, isl_space_copy(exp->dim));
 243
 244         isl_reordering_free(exp);
 245         return pw;
 246 error:
 247         isl_reordering_free(exp);
 248         FN(PW,free)(pw);
 249         return NULL;
 250 }
 251
 252 /* Align the parameters of "pw" to those of "model".
 253  */
 254 __isl_give PW *FN(PW,align_params)(__isl_take PW *pw, __isl_take isl_space *model)
 255 {
 256         isl_ctx *ctx;
 257
 258         if (!pw || !model)
 259                 goto error;
 260
 261         ctx = isl_space_get_ctx(model);
 262         if (!isl_space_has_named_params(model))
 263                 isl_die(ctx, isl_error_invalid,
 264                         "model has unnamed parameters", goto error);
 265         if (!isl_space_has_named_params(pw->dim))
 266                 isl_die(ctx, isl_error_invalid,
 267                         "input has unnamed parameters", goto error);
 268         if (!isl_space_match(pw->dim, isl_dim_param, model, isl_dim_param)) {
 269                 isl_reordering *exp;
 270
 271                 model = isl_space_drop_dims(model, isl_dim_in,
 272                                         0, isl_space_dim(model, isl_dim_in));
 273                 model = isl_space_drop_dims(model, isl_dim_out,
 274                                         0, isl_space_dim(model, isl_dim_out));
 275                 exp = isl_parameter_alignment_reordering(pw->dim, model);
 276                 exp = isl_reordering_extend_space(exp,
 277                                         FN(PW,get_domain_space)(pw));
 278                 pw = FN(PW,realign_domain)(pw, exp);
 279         }
 280
 281         isl_space_free(model);
 282         return pw;
 283 error:
 284         isl_space_free(model);
 285         FN(PW,free)(pw);
 286         return NULL;
 287 }
 288
 289 static __isl_give PW *FN(PW,align_params_pw_pw_and)(__isl_take PW *pw1,
 290         __isl_take PW *pw2,
 291         __isl_give PW *(*fn)(__isl_take PW *pw1, __isl_take PW *pw2))
 292 {
 293         isl_ctx *ctx;
 294
 295         if (!pw1 || !pw2)
 296                 goto error;
 297         if (isl_space_match(pw1->dim, isl_dim_param, pw2->dim, isl_dim_param))
 298                 return fn(pw1, pw2);
 299         ctx = FN(PW,get_ctx)(pw1);
 300         if (!isl_space_has_named_params(pw1->dim) ||
 301             !isl_space_has_named_params(pw2->dim))
 302                 isl_die(ctx, isl_error_invalid,
 303                         "unaligned unnamed parameters", goto error);
 304         pw1 = FN(PW,align_params)(pw1, FN(PW,get_space)(pw2));
 305         pw2 = FN(PW,align_params)(pw2, FN(PW,get_space)(pw1));
 306         return fn(pw1, pw2);
 307 error:
 308         FN(PW,free)(pw1);
 309         FN(PW,free)(pw2);
 310         return NULL;
 311 }
 312
 313 static __isl_give PW *FN(PW,align_params_pw_set_and)(__isl_take PW *pw,
 314         __isl_take isl_set *set,
 315         __isl_give PW *(*fn)(__isl_take PW *pw, __isl_take isl_set *set))
 316 {
 317         isl_ctx *ctx;
 318
 319         if (!pw || !set)
 320                 goto error;
 321         if (isl_space_match(pw->dim, isl_dim_param, set->dim, isl_dim_param))
 322                 return fn(pw, set);
 323         ctx = FN(PW,get_ctx)(pw);
 324         if (!isl_space_has_named_params(pw->dim) ||
 325             !isl_space_has_named_params(set->dim))
 326                 isl_die(ctx, isl_error_invalid,
 327                         "unaligned unnamed parameters", goto error);
 328         pw = FN(PW,align_params)(pw, isl_set_get_space(set));
 329         set = isl_set_align_params(set, FN(PW,get_space)(pw));
 330         return fn(pw, set);
 331 error:
 332         FN(PW,free)(pw);
 333         isl_set_free(set);
 334         return NULL;
 335 }
 336 #endif
 337
 338 static __isl_give PW *FN(PW,union_add_aligned)(__isl_take PW *pw1,
 339         __isl_take PW *pw2)
 340 {
 341         int i, j, n;
 342         struct PW *res;
 343         isl_ctx *ctx;
 344         isl_set *set;
 345
 346         if (!pw1 || !pw2)
 347                 goto error;
 348
 349         ctx = isl_space_get_ctx(pw1->dim);
 350 #ifdef HAS_TYPE
 351         if (pw1->type != pw2->type)
 352                 isl_die(ctx, isl_error_invalid,
 353                         "fold types don't match", goto error);
 354 #endif
 355         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 356
 357         if (FN(PW,IS_ZERO)(pw1)) {
 358                 FN(PW,free)(pw1);
 359                 return pw2;
 360         }
 361
 362         if (FN(PW,IS_ZERO)(pw2)) {
 363                 FN(PW,free)(pw2);
 364                 return pw1;
 365         }
 366
 367         n = (pw1->n + 1) * (pw2->n + 1);
 368 #ifdef HAS_TYPE
 369         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), pw1->type, n);
 370 #else
 371         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), n);
 372 #endif
 373
 374         for (i = 0; i < pw1->n; ++i) {
 375                 set = isl_set_copy(pw1->p[i].set);
 376                 for (j = 0; j < pw2->n; ++j) {
 377                         struct isl_set *common;
 378                         EL *sum;
 379                         common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
 380                                                 isl_set_copy(pw2->p[j].set));
 381                         if (isl_set_plain_is_empty(common)) {
 382                                 isl_set_free(common);
 383                                 continue;
 384                         }
 385                         set = isl_set_subtract(set,
 386                                         isl_set_copy(pw2->p[j].set));
 387
 388                         sum = FN(EL,add_on_domain)(common,
 389                                                    FN(EL,copy)(pw1->p[i].FIELD),
 390                                                    FN(EL,copy)(pw2->p[j].FIELD));
 391
 392                         res = FN(PW,add_piece)(res, common, sum);
 393                 }
 394                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw1->p[i].FIELD));
 395         }
 396
 397         for (j = 0; j < pw2->n; ++j) {
 398                 set = isl_set_copy(pw2->p[j].set);
 399                 for (i = 0; i < pw1->n; ++i)
 400                         set = isl_set_subtract(set,
 401                                         isl_set_copy(pw1->p[i].set));
 402                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw2->p[j].FIELD));
 403         }
 404
 405         FN(PW,free)(pw1);
 406         FN(PW,free)(pw2);
 407
 408         return res;
 409 error:
 410         FN(PW,free)(pw1);
 411         FN(PW,free)(pw2);
 412         return NULL;
 413 }
 414
 415 /* Private version of "union_add".  For isl_pw_qpolynomial and
 416  * isl_pw_qpolynomial_fold, we prefer to simply call it "add".
 417  */
 418 static __isl_give PW *FN(PW,union_add_)(__isl_take PW *pw1, __isl_take PW *pw2)
 419 {
 420         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
 421                                                 &FN(PW,union_add_aligned));
 422 }
 423
 424 /* Make sure "pw" has room for at least "n" more pieces.
 425  *
 426  * If there is only one reference to pw, we extend it in place.
 427  * Otherwise, we create a new PW and copy the pieces.
 428  */
 429 static __isl_give PW *FN(PW,grow)(__isl_take PW *pw, int n)
 430 {
 431         int i;
 432         isl_ctx *ctx;
 433         PW *res;
 434
 435         if (!pw)
 436                 return NULL;
 437         if (pw->n + n <= pw->size)
 438                 return pw;
 439         ctx = FN(PW,get_ctx)(pw);
 440         n += pw->n;
 441         if (pw->ref == 1) {
 442                 res = isl_realloc(ctx, pw, struct PW,
 443                             sizeof(struct PW) + (n - 1) * sizeof(S(PW,piece)));
 444                 if (!res)
 445                         return FN(PW,free)(pw);
 446                 res->size = n;
 447                 return res;
 448         }
 449 #ifdef HAS_TYPE
 450         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->type, n);
 451 #else
 452         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), n);
 453 #endif
 454         if (!res)
 455                 return FN(PW,free)(pw);
 456         for (i = 0; i < pw->n; ++i)
 457                 res = FN(PW,add_piece)(res, isl_set_copy(pw->p[i].set),
 458                                             FN(EL,copy)(pw->p[i].FIELD));
 459         FN(PW,free)(pw);
 460         return res;
 461 }
 462
 463 static __isl_give PW *FN(PW,add_disjoint_aligned)(__isl_take PW *pw1,
 464         __isl_take PW *pw2)
 465 {
 466         int i;
 467         isl_ctx *ctx;
 468
 469         if (!pw1 || !pw2)
 470                 goto error;
 471
 472         if (pw1->size < pw1->n + pw2->n && pw1->n < pw2->n)
 473                 return FN(PW,add_disjoint_aligned)(pw2, pw1);
 474
 475         ctx = isl_space_get_ctx(pw1->dim);
 476 #ifdef HAS_TYPE
 477         if (pw1->type != pw2->type)
 478                 isl_die(ctx, isl_error_invalid,
 479                         "fold types don't match", goto error);
 480 #endif
 481         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 482
 483         if (FN(PW,IS_ZERO)(pw1)) {
 484                 FN(PW,free)(pw1);
 485                 return pw2;
 486         }
 487
 488         if (FN(PW,IS_ZERO)(pw2)) {
 489                 FN(PW,free)(pw2);
 490                 return pw1;
 491         }
 492
 493         pw1 = FN(PW,grow)(pw1, pw2->n);
 494         if (!pw1)
 495                 goto error;
 496
 497         for (i = 0; i < pw2->n; ++i)
 498                 pw1 = FN(PW,add_piece)(pw1,
 499                                 isl_set_copy(pw2->p[i].set),
 500                                 FN(EL,copy)(pw2->p[i].FIELD));
 501
 502         FN(PW,free)(pw2);
 503
 504         return pw1;
 505 error:
 506         FN(PW,free)(pw1);
 507         FN(PW,free)(pw2);
 508         return NULL;
 509 }
 510
 511 __isl_give PW *FN(PW,add_disjoint)(__isl_take PW *pw1, __isl_take PW *pw2)
 512 {
 513         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
 514                                                 &FN(PW,add_disjoint_aligned));
 515 }
 516
 517 /* This function is currently only used from isl_aff.c
 518  */
 519 static __isl_give PW *FN(PW,on_shared_domain_in)(__isl_take PW *pw1,
 520         __isl_take PW *pw2, __isl_take isl_space *space,
 521         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 522         __attribute__ ((unused));
 523
 524 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
 525  * The result of "fn" (and therefore also of this function) lives in "space".
 526  */
 527 static __isl_give PW *FN(PW,on_shared_domain_in)(__isl_take PW *pw1,
 528         __isl_take PW *pw2, __isl_take isl_space *space,
 529         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 530 {
 531         int i, j, n;
 532         PW *res = NULL;
 533
 534         if (!pw1 || !pw2)
 535                 goto error;
 536
 537         n = pw1->n * pw2->n;
 538 #ifdef HAS_TYPE
 539         res = FN(PW,alloc_size)(space, pw1->type, n);
 540 #else
 541         res = FN(PW,alloc_size)(space, n);
 542 #endif
 543
 544         for (i = 0; i < pw1->n; ++i) {
 545                 for (j = 0; j < pw2->n; ++j) {
 546                         isl_set *common;
 547                         EL *res_ij;
 548                         int empty;
 549
 550                         common = isl_set_intersect(
 551                                         isl_set_copy(pw1->p[i].set),
 552                                         isl_set_copy(pw2->p[j].set));
 553                         empty = isl_set_plain_is_empty(common);
 554                         if (empty < 0 || empty) {
 555                                 isl_set_free(common);
 556                                 if (empty < 0)
 557                                         goto error;
 558                                 continue;
 559                         }
 560
 561                         res_ij = fn(FN(EL,copy)(pw1->p[i].FIELD),
 562                                     FN(EL,copy)(pw2->p[j].FIELD));
 563                         res_ij = FN(EL,gist)(res_ij, isl_set_copy(common));
 564
 565                         res = FN(PW,add_piece)(res, common, res_ij);
 566                 }
 567         }
 568
 569         FN(PW,free)(pw1);
 570         FN(PW,free)(pw2);
 571         return res;
 572 error:
 573         isl_space_free(space);
 574         FN(PW,free)(pw1);
 575         FN(PW,free)(pw2);
 576         FN(PW,free)(res);
 577         return NULL;
 578 }
 579
 580 /* This function is currently only used from isl_aff.c
 581  */
 582 static __isl_give PW *FN(PW,on_shared_domain)(__isl_take PW *pw1,
 583         __isl_take PW *pw2,
 584         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 585         __attribute__ ((unused));
 586
 587 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
 588  * The result of "fn" is assumed to live in the same space as "pw1" and "pw2".
 589  */
 590 static __isl_give PW *FN(PW,on_shared_domain)(__isl_take PW *pw1,
 591         __isl_take PW *pw2,
 592         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 593 {
 594         isl_space *space;
 595
 596         if (!pw1 || !pw2)
 597                 goto error;
 598
 599         space = isl_space_copy(pw1->dim);
 600         return FN(PW,on_shared_domain_in)(pw1, pw2, space, fn);
 601 error:
 602         FN(PW,free)(pw1);
 603         FN(PW,free)(pw2);
 604         return NULL;
 605 }
 606
 607 #ifndef NO_NEG
 608 __isl_give PW *FN(PW,neg)(__isl_take PW *pw)
 609 {
 610         int i;
 611
 612         if (!pw)
 613                 return NULL;
 614
 615         if (FN(PW,IS_ZERO)(pw))
 616                 return pw;
 617
 618         pw = FN(PW,cow)(pw);
 619         if (!pw)
 620                 return NULL;
 621
 622         for (i = 0; i < pw->n; ++i) {
 623                 pw->p[i].FIELD = FN(EL,neg)(pw->p[i].FIELD);
 624                 if (!pw->p[i].FIELD)
 625                         return FN(PW,free)(pw);
 626         }
 627
 628         return pw;
 629 }
 630
 631 __isl_give PW *FN(PW,sub)(__isl_take PW *pw1, __isl_take PW *pw2)
 632 {
 633         return FN(PW,add)(pw1, FN(PW,neg)(pw2));
 634 }
 635 #endif
 636
 637 #ifndef NO_EVAL
 638 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
 639         __isl_take isl_point *pnt)
 640 {
 641         int i;
 642         int found = 0;
 643         isl_ctx *ctx;
 644         isl_space *pnt_dim = NULL;
 645         isl_qpolynomial *qp;
 646
 647         if (!pw || !pnt)
 648                 goto error;
 649         ctx = isl_point_get_ctx(pnt);
 650         pnt_dim = isl_point_get_space(pnt);
 651         isl_assert(ctx, isl_space_is_domain_internal(pnt_dim, pw->dim),
 652                     goto error);
 653
 654         for (i = 0; i < pw->n; ++i) {
 655                 found = isl_set_contains_point(pw->p[i].set, pnt);
 656                 if (found < 0)
 657                         goto error;
 658                 if (found)
 659                         break;
 660         }
 661         if (found)
 662                 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
 663                                             isl_point_copy(pnt));
 664         else
 665                 qp = isl_qpolynomial_zero_on_domain(FN(PW,get_domain_space)(pw));
 666         FN(PW,free)(pw);
 667         isl_space_free(pnt_dim);
 668         isl_point_free(pnt);
 669         return qp;
 670 error:
 671         FN(PW,free)(pw);
 672         isl_space_free(pnt_dim);
 673         isl_point_free(pnt);
 674         return NULL;
 675 }
 676 #endif
 677
 678 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
 679 {
 680         int i;
 681         isl_set *dom;
 682
 683         if (!pw)
 684                 return NULL;
 685
 686         dom = isl_set_empty(FN(PW,get_domain_space)(pw));
 687         for (i = 0; i < pw->n; ++i)
 688                 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
 689
 690         FN(PW,free)(pw);
 691
 692         return dom;
 693 }
 694
 695 /* Restrict the domain of "pw" by combining each cell
 696  * with "set" through a call to "fn", where "fn" may be
 697  * isl_set_intersect or isl_set_intersect_params.
 698  */
 699 static __isl_give PW *FN(PW,intersect_aligned)(__isl_take PW *pw,
 700         __isl_take isl_set *set,
 701         __isl_give isl_set *(*fn)(__isl_take isl_set *set1,
 702                                     __isl_take isl_set *set2))
 703 {
 704         int i;
 705
 706         if (!pw || !set)
 707                 goto error;
 708
 709         if (pw->n == 0) {
 710                 isl_set_free(set);
 711                 return pw;
 712         }
 713
 714         pw = FN(PW,cow)(pw);
 715         if (!pw)
 716                 goto error;
 717
 718         for (i = pw->n - 1; i >= 0; --i) {
 719                 isl_basic_set *aff;
 720                 pw->p[i].set = fn(pw->p[i].set, isl_set_copy(set));
 721                 if (!pw->p[i].set)
 722                         goto error;
 723                 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
 724                 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
 725                                                                 aff);
 726                 if (!pw->p[i].FIELD)
 727                         goto error;
 728                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 729                         isl_set_free(pw->p[i].set);
 730                         FN(EL,free)(pw->p[i].FIELD);
 731                         if (i != pw->n - 1)
 732                                 pw->p[i] = pw->p[pw->n - 1];
 733                         pw->n--;
 734                 }
 735         }
 736
 737         isl_set_free(set);
 738         return pw;
 739 error:
 740         isl_set_free(set);
 741         FN(PW,free)(pw);
 742         return NULL;
 743 }
 744
 745 static __isl_give PW *FN(PW,intersect_domain_aligned)(__isl_take PW *pw,
 746         __isl_take isl_set *set)
 747 {
 748         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect);
 749 }
 750
 751 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw,
 752         __isl_take isl_set *context)
 753 {
 754         return FN(PW,align_params_pw_set_and)(pw, context,
 755                                         &FN(PW,intersect_domain_aligned));
 756 }
 757
 758 static __isl_give PW *FN(PW,intersect_params_aligned)(__isl_take PW *pw,
 759         __isl_take isl_set *set)
 760 {
 761         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect_params);
 762 }
 763
 764 /* Intersect the domain of "pw" with the parameter domain "context".
 765  */
 766 __isl_give PW *FN(PW,intersect_params)(__isl_take PW *pw,
 767         __isl_take isl_set *context)
 768 {
 769         return FN(PW,align_params_pw_set_and)(pw, context,
 770                                         &FN(PW,intersect_params_aligned));
 771 }
 772
 773 static __isl_give PW *FN(PW,gist_aligned)(__isl_take PW *pw,
 774         __isl_take isl_set *context,
 775         __isl_give EL *(*fn_el)(__isl_take EL *el,
 776                                     __isl_take isl_set *set),
 777         __isl_give isl_set *(*fn_dom)(__isl_take isl_set *set,
 778                                     __isl_take isl_basic_set *bset))
 779 {
 780         int i;
 781         isl_basic_set *hull = NULL;
 782
 783         if (!pw || !context)
 784                 goto error;
 785
 786         if (pw->n == 0) {
 787                 isl_set_free(context);
 788                 return pw;
 789         }
 790
 791         if (!isl_space_match(pw->dim, isl_dim_param,
 792                                 context->dim, isl_dim_param)) {
 793                 pw = FN(PW,align_params)(pw, isl_set_get_space(context));
 794                 context = isl_set_align_params(context, FN(PW,get_space)(pw));
 795         }
 796
 797         context = isl_set_compute_divs(context);
 798         hull = isl_set_simple_hull(isl_set_copy(context));
 799
 800         pw = FN(PW,cow)(pw);
 801         if (!pw)
 802                 goto error;
 803
 804         for (i = pw->n - 1; i >= 0; --i) {
 805                 isl_set *set_i;
 806                 int empty;
 807
 808                 set_i = isl_set_intersect(isl_set_copy(pw->p[i].set),
 809                                                  isl_set_copy(context));
 810                 empty = isl_set_plain_is_empty(set_i);
 811                 pw->p[i].FIELD = fn_el(pw->p[i].FIELD, set_i);
 812                 pw->p[i].set = fn_dom(pw->p[i].set, isl_basic_set_copy(hull));
 813                 if (!pw->p[i].FIELD || !pw->p[i].set)
 814                         goto error;
 815                 if (empty) {
 816                         isl_set_free(pw->p[i].set);
 817                         FN(EL,free)(pw->p[i].FIELD);
 818                         if (i != pw->n - 1)
 819                                 pw->p[i] = pw->p[pw->n - 1];
 820                         pw->n--;
 821                 }
 822         }
 823
 824         isl_basic_set_free(hull);
 825         isl_set_free(context);
 826
 827         return pw;
 828 error:
 829         FN(PW,free)(pw);
 830         isl_basic_set_free(hull);
 831         isl_set_free(context);
 832         return NULL;
 833 }
 834
 835 static __isl_give PW *FN(PW,gist_domain_aligned)(__isl_take PW *pw,
 836         __isl_take isl_set *set)
 837 {
 838         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist),
 839                                         &isl_set_gist_basic_set);
 840 }
 841
 842 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
 843 {
 844         return FN(PW,align_params_pw_set_and)(pw, context,
 845                                                 &FN(PW,gist_domain_aligned));
 846 }
 847
 848 static __isl_give PW *FN(PW,gist_params_aligned)(__isl_take PW *pw,
 849         __isl_take isl_set *set)
 850 {
 851         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist_params),
 852                                         &isl_set_gist_params_basic_set);
 853 }
 854
 855 __isl_give PW *FN(PW,gist_params)(__isl_take PW *pw,
 856         __isl_take isl_set *context)
 857 {
 858         return FN(PW,align_params_pw_set_and)(pw, context,
 859                                                 &FN(PW,gist_params_aligned));
 860 }
 861
 862 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
 863 {
 864         int i, j;
 865
 866         if (!pw)
 867                 return NULL;
 868         if (pw->n == 0)
 869                 return pw;
 870
 871         for (i = pw->n - 1; i >= 0; --i) {
 872                 for (j = i - 1; j >= 0; --j) {
 873                         if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
 874                                                         pw->p[j].FIELD))
 875                                 continue;
 876                         pw->p[j].set = isl_set_union(pw->p[j].set,
 877                                                         pw->p[i].set);
 878                         FN(EL,free)(pw->p[i].FIELD);
 879                         if (i != pw->n - 1)
 880                                 pw->p[i] = pw->p[pw->n - 1];
 881                         pw->n--;
 882                         break;
 883                 }
 884                 if (j >= 0)
 885                         continue;
 886                 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
 887                 if (!pw->p[i].set)
 888                         goto error;
 889         }
 890
 891         return pw;
 892 error:
 893         FN(PW,free)(pw);
 894         return NULL;
 895 }
 896
 897 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
 898 {
 899         return pw ? isl_space_get_ctx(pw->dim) : NULL;
 900 }
 901
 902 #ifndef NO_INVOLVES_DIMS
 903 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
 904         unsigned first, unsigned n)
 905 {
 906         int i;
 907         enum isl_dim_type set_type;
 908
 909         if (!pw)
 910                 return -1;
 911         if (pw->n == 0 || n == 0)
 912                 return 0;
 913
 914         set_type = type == isl_dim_in ? isl_dim_set : type;
 915
 916         for (i = 0; i < pw->n; ++i) {
 917                 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
 918                                                         type, first, n);
 919                 if (involves < 0 || involves)
 920                         return involves;
 921                 involves = isl_set_involves_dims(pw->p[i].set,
 922                                                         set_type, first, n);
 923                 if (involves < 0 || involves)
 924                         return involves;
 925         }
 926         return 0;
 927 }
 928 #endif
 929
 930 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
 931         enum isl_dim_type type, unsigned pos, const char *s)
 932 {
 933         int i;
 934         enum isl_dim_type set_type;
 935
 936         pw = FN(PW,cow)(pw);
 937         if (!pw)
 938                 return NULL;
 939
 940         set_type = type == isl_dim_in ? isl_dim_set : type;
 941
 942         pw->dim = isl_space_set_dim_name(pw->dim, type, pos, s);
 943         if (!pw->dim)
 944                 goto error;
 945
 946         for (i = 0; i < pw->n; ++i) {
 947                 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set,
 948                                                         set_type, pos, s);
 949                 if (!pw->p[i].set)
 950                         goto error;
 951                 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
 952                 if (!pw->p[i].FIELD)
 953                         goto error;
 954         }
 955
 956         return pw;
 957 error:
 958         FN(PW,free)(pw);
 959         return NULL;
 960 }
 961
 962 #ifndef NO_DROP_DIMS
 963 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
 964         enum isl_dim_type type, unsigned first, unsigned n)
 965 {
 966         int i;
 967         enum isl_dim_type set_type;
 968
 969         if (!pw)
 970                 return NULL;
 971         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 972                 return pw;
 973
 974         set_type = type == isl_dim_in ? isl_dim_set : type;
 975
 976         pw = FN(PW,cow)(pw);
 977         if (!pw)
 978                 return NULL;
 979         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 980         if (!pw->dim)
 981                 goto error;
 982         for (i = 0; i < pw->n; ++i) {
 983                 pw->p[i].set = isl_set_drop(pw->p[i].set, set_type, first, n);
 984                 if (!pw->p[i].set)
 985                         goto error;
 986                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 987                 if (!pw->p[i].FIELD)
 988                         goto error;
 989         }
 990
 991         return pw;
 992 error:
 993         FN(PW,free)(pw);
 994         return NULL;
 995 }
 996
 997 /* This function is very similar to drop_dims.
 998  * The only difference is that the cells may still involve
 999  * the specified dimensions.  They are removed using
1000  * isl_set_project_out instead of isl_set_drop.
1001  */
1002 __isl_give PW *FN(PW,project_out)(__isl_take PW *pw,
1003         enum isl_dim_type type, unsigned first, unsigned n)
1004 {
1005         int i;
1006         enum isl_dim_type set_type;
1007
1008         if (!pw)
1009                 return NULL;
1010         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
1011                 return pw;
1012
1013         set_type = type == isl_dim_in ? isl_dim_set : type;
1014
1015         pw = FN(PW,cow)(pw);
1016         if (!pw)
1017                 return NULL;
1018         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
1019         if (!pw->dim)
1020                 goto error;
1021         for (i = 0; i < pw->n; ++i) {
1022                 pw->p[i].set = isl_set_project_out(pw->p[i].set,
1023                                                         set_type, first, n);
1024                 if (!pw->p[i].set)
1025                         goto error;
1026                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
1027                 if (!pw->p[i].FIELD)
1028                         goto error;
1029         }
1030
1031         return pw;
1032 error:
1033         FN(PW,free)(pw);
1034         return NULL;
1035 }
1036
1037 /* Project the domain of pw onto its parameter space.
1038  */
1039 __isl_give PW *FN(PW,project_domain_on_params)(__isl_take PW *pw)
1040 {
1041         isl_space *space;
1042         unsigned n;
1043
1044         n = FN(PW,dim)(pw, isl_dim_in);
1045         pw = FN(PW,project_out)(pw, isl_dim_in, 0, n);
1046         space = FN(PW,get_domain_space)(pw);
1047         space = isl_space_params(space);
1048         pw = FN(PW,reset_domain_space)(pw, space);
1049         return pw;
1050 }
1051 #endif
1052
1053 #ifndef NO_INSERT_DIMS
1054 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
1055         unsigned first, unsigned n)
1056 {
1057         int i;
1058         enum isl_dim_type set_type;
1059
1060         if (!pw)
1061                 return NULL;
1062         if (n == 0 && !isl_space_is_named_or_nested(pw->dim, type))
1063                 return pw;
1064
1065         set_type = type == isl_dim_in ? isl_dim_set : type;
1066
1067         pw = FN(PW,cow)(pw);
1068         if (!pw)
1069                 return NULL;
1070
1071         pw->dim = isl_space_insert_dims(pw->dim, type, first, n);
1072         if (!pw->dim)
1073                 goto error;
1074
1075         for (i = 0; i < pw->n; ++i) {
1076                 pw->p[i].set = isl_set_insert_dims(pw->p[i].set,
1077                                                             set_type, first, n);
1078                 if (!pw->p[i].set)
1079                         goto error;
1080                 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
1081                                                                 type, first, n);
1082                 if (!pw->p[i].FIELD)
1083                         goto error;
1084         }
1085
1086         return pw;
1087 error:
1088         FN(PW,free)(pw);
1089         return NULL;
1090 }
1091 #endif
1092
1093 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
1094         enum isl_dim_type type, unsigned pos, isl_int v)
1095 {
1096         int i;
1097
1098         if (!pw)
1099                 return NULL;
1100
1101         if (type == isl_dim_in)
1102                 type = isl_dim_set;
1103
1104         pw = FN(PW,cow)(pw);
1105         if (!pw)
1106                 return NULL;
1107         for (i = 0; i < pw->n; ++i) {
1108                 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
1109                 if (!pw->p[i].set)
1110                         goto error;
1111         }
1112
1113         return pw;
1114 error:
1115         FN(PW,free)(pw);
1116         return NULL;
1117 }
1118
1119 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
1120 {
1121         return pw ? isl_space_dim(pw->dim, type) : 0;
1122 }
1123
1124 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
1125         enum isl_dim_type type, unsigned first, unsigned n)
1126 {
1127         int i;
1128
1129         if (!pw)
1130                 return NULL;
1131         if (n == 0)
1132                 return pw;
1133
1134         if (type == isl_dim_in)
1135                 type = isl_dim_set;
1136
1137         pw = FN(PW,cow)(pw);
1138         if (!pw)
1139                 return NULL;
1140         if (!pw->dim)
1141                 goto error;
1142         for (i = 0; i < pw->n; ++i) {
1143                 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
1144                 if (!pw->p[i].set)
1145                         goto error;
1146         }
1147
1148         return pw;
1149 error:
1150         FN(PW,free)(pw);
1151         return NULL;
1152 }
1153
1154 #ifndef NO_OPT
1155 /* Compute the maximal value attained by the piecewise quasipolynomial
1156  * on its domain or zero if the domain is empty.
1157  * In the worst case, the domain is scanned completely,
1158  * so the domain is assumed to be bounded.
1159  */
1160 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
1161 {
1162         int i;
1163         isl_qpolynomial *opt;
1164
1165         if (!pw)
1166                 return NULL;
1167
1168         if (pw->n == 0) {
1169                 isl_space *dim = isl_space_copy(pw->dim);
1170                 FN(PW,free)(pw);
1171                 return isl_qpolynomial_zero_on_domain(isl_space_domain(dim));
1172         }
1173
1174         opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
1175                                         isl_set_copy(pw->p[0].set), max);
1176         for (i = 1; i < pw->n; ++i) {
1177                 isl_qpolynomial *opt_i;
1178                 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
1179                                                 isl_set_copy(pw->p[i].set), max);
1180                 if (max)
1181                         opt = isl_qpolynomial_max_cst(opt, opt_i);
1182                 else
1183                         opt = isl_qpolynomial_min_cst(opt, opt_i);
1184         }
1185
1186         FN(PW,free)(pw);
1187         return opt;
1188 }
1189
1190 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
1191 {
1192         return FN(PW,opt)(pw, 1);
1193 }
1194
1195 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
1196 {
1197         return FN(PW,opt)(pw, 0);
1198 }
1199 #endif
1200
1201 __isl_give isl_space *FN(PW,get_space)(__isl_keep PW *pw)
1202 {
1203         return pw ? isl_space_copy(pw->dim) : NULL;
1204 }
1205
1206 __isl_give isl_space *FN(PW,get_domain_space)(__isl_keep PW *pw)
1207 {
1208         return pw ? isl_space_domain(isl_space_copy(pw->dim)) : NULL;
1209 }
1210
1211 #ifndef NO_RESET_DIM
1212 /* Reset the space of "pw".  Since we don't know if the elements
1213  * represent the spaces themselves or their domains, we pass along
1214  * both when we call their reset_space_and_domain.
1215  */
1216 static __isl_give PW *FN(PW,reset_space_and_domain)(__isl_take PW *pw,
1217         __isl_take isl_space *space, __isl_take isl_space *domain)
1218 {
1219         int i;
1220
1221         pw = FN(PW,cow)(pw);
1222         if (!pw || !space || !domain)
1223                 goto error;
1224
1225         for (i = 0; i < pw->n; ++i) {
1226                 pw->p[i].set = isl_set_reset_space(pw->p[i].set,
1227                                                  isl_space_copy(domain));
1228                 if (!pw->p[i].set)
1229                         goto error;
1230                 pw->p[i].FIELD = FN(EL,reset_space_and_domain)(pw->p[i].FIELD,
1231                               isl_space_copy(space), isl_space_copy(domain));
1232                 if (!pw->p[i].FIELD)
1233                         goto error;
1234         }
1235
1236         isl_space_free(domain);
1237
1238         isl_space_free(pw->dim);
1239         pw->dim = space;
1240
1241         return pw;
1242 error:
1243         isl_space_free(domain);
1244         isl_space_free(space);
1245         FN(PW,free)(pw);
1246         return NULL;
1247 }
1248
1249 __isl_give PW *FN(PW,reset_domain_space)(__isl_take PW *pw,
1250         __isl_take isl_space *domain)
1251 {
1252         isl_space *space;
1253
1254         space = isl_space_extend_domain_with_range(isl_space_copy(domain),
1255                                                    FN(PW,get_space)(pw));
1256         return FN(PW,reset_space_and_domain)(pw, space, domain);
1257 }
1258
1259 __isl_give PW *FN(PW,reset_space)(__isl_take PW *pw, __isl_take isl_space *dim)
1260 {
1261         isl_space *domain;
1262
1263         domain = isl_space_domain(isl_space_copy(dim));
1264         return FN(PW,reset_space_and_domain)(pw, dim, domain);
1265 }
1266
1267 __isl_give PW *FN(PW,set_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type,
1268         __isl_take isl_id *id)
1269 {
1270         isl_space *space;
1271
1272         pw = FN(PW,cow)(pw);
1273         if (!pw)
1274                 return isl_id_free(id);
1275
1276         space = FN(PW,get_space)(pw);
1277         space = isl_space_set_tuple_id(space, type, id);
1278
1279         return FN(PW,reset_space)(pw, space);
1280 }
1281
1282 __isl_give PW *FN(PW,set_dim_id)(__isl_take PW *pw,
1283         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
1284 {
1285         pw = FN(PW,cow)(pw);
1286         if (!pw)
1287                 return isl_id_free(id);
1288         pw->dim = isl_space_set_dim_id(pw->dim, type, pos, id);
1289         return FN(PW,reset_space)(pw, isl_space_copy(pw->dim));
1290 }
1291 #endif
1292
1293 int FN(PW,has_equal_space)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1294 {
1295         if (!pw1 || !pw2)
1296                 return -1;
1297
1298         return isl_space_is_equal(pw1->dim, pw2->dim);
1299 }
1300
1301 #ifndef NO_MORPH
1302 __isl_give PW *FN(PW,morph_domain)(__isl_take PW *pw,
1303         __isl_take isl_morph *morph)
1304 {
1305         int i;
1306         isl_ctx *ctx;
1307
1308         if (!pw || !morph)
1309                 goto error;
1310
1311         ctx = isl_space_get_ctx(pw->dim);
1312         isl_assert(ctx, isl_space_is_domain_internal(morph->dom->dim, pw->dim),
1313                 goto error);
1314
1315         pw = FN(PW,cow)(pw);
1316         if (!pw)
1317                 goto error;
1318         pw->dim = isl_space_extend_domain_with_range(
1319                         isl_space_copy(morph->ran->dim), pw->dim);
1320         if (!pw->dim)
1321                 goto error;
1322
1323         for (i = 0; i < pw->n; ++i) {
1324                 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
1325                 if (!pw->p[i].set)
1326                         goto error;
1327                 pw->p[i].FIELD = FN(EL,morph_domain)(pw->p[i].FIELD,
1328                                                 isl_morph_copy(morph));
1329                 if (!pw->p[i].FIELD)
1330                         goto error;
1331         }
1332
1333         isl_morph_free(morph);
1334
1335         return pw;
1336 error:
1337         FN(PW,free)(pw);
1338         isl_morph_free(morph);
1339         return NULL;
1340 }
1341 #endif
1342
1343 int FN(PW,n_piece)(__isl_keep PW *pw)
1344 {
1345         return pw ? pw->n : 0;
1346 }
1347
1348 int FN(PW,foreach_piece)(__isl_keep PW *pw,
1349         int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
1350         void *user)
1351 {
1352         int i;
1353
1354         if (!pw)
1355                 return -1;
1356
1357         for (i = 0; i < pw->n; ++i)
1358                 if (fn(isl_set_copy(pw->p[i].set),
1359                                 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
1360                         return -1;
1361
1362         return 0;
1363 }
1364
1365 #ifndef NO_LIFT
1366 static int any_divs(__isl_keep isl_set *set)
1367 {
1368         int i;
1369
1370         if (!set)
1371                 return -1;
1372
1373         for (i = 0; i < set->n; ++i)
1374                 if (set->p[i]->n_div > 0)
1375                         return 1;
1376
1377         return 0;
1378 }
1379
1380 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
1381         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1382                     void *user), void *user)
1383 {
1384         int i;
1385
1386         if (!set || !el)
1387                 goto error;
1388
1389         for (i = 0; i < set->n; ++i) {
1390                 isl_set *lift;
1391                 EL *copy;
1392
1393                 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
1394                 lift = isl_set_lift(lift);
1395
1396                 copy = FN(EL,copy)(el);
1397                 copy = FN(EL,lift)(copy, isl_set_get_space(lift));
1398
1399                 if (fn(lift, copy, user) < 0)
1400                         goto error;
1401         }
1402
1403         isl_set_free(set);
1404         FN(EL,free)(el);
1405
1406         return 0;
1407 error:
1408         isl_set_free(set);
1409         FN(EL,free)(el);
1410         return -1;
1411 }
1412
1413 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
1414         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1415                     void *user), void *user)
1416 {
1417         int i;
1418
1419         if (!pw)
1420                 return -1;
1421
1422         for (i = 0; i < pw->n; ++i) {
1423                 isl_set *set;
1424                 EL *el;
1425
1426                 set = isl_set_copy(pw->p[i].set);
1427                 el = FN(EL,copy)(pw->p[i].FIELD);
1428                 if (!any_divs(set)) {
1429                         if (fn(set, el, user) < 0)
1430                                 return -1;
1431                         continue;
1432                 }
1433                 if (foreach_lifted_subset(set, el, fn, user) < 0)
1434                         return -1;
1435         }
1436
1437         return 0;
1438 }
1439 #endif
1440
1441 #ifndef NO_MOVE_DIMS
1442 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
1443         enum isl_dim_type dst_type, unsigned dst_pos,
1444         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1445 {
1446         int i;
1447
1448         pw = FN(PW,cow)(pw);
1449         if (!pw)
1450                 return NULL;
1451
1452         pw->dim = isl_space_move_dims(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
1453         if (!pw->dim)
1454                 goto error;
1455
1456         for (i = 0; i < pw->n; ++i) {
1457                 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
1458                                         dst_type, dst_pos, src_type, src_pos, n);
1459                 if (!pw->p[i].FIELD)
1460                         goto error;
1461         }
1462
1463         if (dst_type == isl_dim_in)
1464                 dst_type = isl_dim_set;
1465         if (src_type == isl_dim_in)
1466                 src_type = isl_dim_set;
1467
1468         for (i = 0; i < pw->n; ++i) {
1469                 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
1470                                                 dst_type, dst_pos,
1471                                                 src_type, src_pos, n);
1472                 if (!pw->p[i].set)
1473                         goto error;
1474         }
1475
1476         return pw;
1477 error:
1478         FN(PW,free)(pw);
1479         return NULL;
1480 }
1481 #endif
1482
1483 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
1484 {
1485         int i;
1486
1487         if (isl_int_is_one(v))
1488                 return pw;
1489         if (pw && DEFAULT_IS_ZERO && isl_int_is_zero(v)) {
1490                 PW *zero;
1491                 isl_space *dim = FN(PW,get_space)(pw);
1492 #ifdef HAS_TYPE
1493                 zero = FN(PW,ZERO)(dim, pw->type);
1494 #else
1495                 zero = FN(PW,ZERO)(dim);
1496 #endif
1497                 FN(PW,free)(pw);
1498                 return zero;
1499         }
1500         pw = FN(PW,cow)(pw);
1501         if (!pw)
1502                 return NULL;
1503         if (pw->n == 0)
1504                 return pw;
1505
1506 #ifdef HAS_TYPE
1507         if (isl_int_is_neg(v))
1508                 pw->type = isl_fold_type_negate(pw->type);
1509 #endif
1510         for (i = 0; i < pw->n; ++i) {
1511                 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);
1512                 if (!pw->p[i].FIELD)
1513                         goto error;
1514         }
1515
1516         return pw;
1517 error:
1518         FN(PW,free)(pw);
1519         return NULL;
1520 }
1521
1522 __isl_give PW *FN(PW,scale)(__isl_take PW *pw, isl_int v)
1523 {
1524         return FN(PW,mul_isl_int)(pw, v);
1525 }
1526
1527 static int FN(PW,qsort_set_cmp)(const void *p1, const void *p2)
1528 {
1529         const isl_set *set1 = *(const isl_set **)p1;
1530         const isl_set *set2 = *(const isl_set **)p2;
1531
1532         return isl_set_plain_cmp(set1, set2);
1533 }
1534
1535 /* We normalize in place, but if anything goes wrong we need
1536  * to return NULL, so we need to make sure we don't change the
1537  * meaning of any possible other copies of map.
1538  */
1539 __isl_give PW *FN(PW,normalize)(__isl_take PW *pw)
1540 {
1541         int i, j;
1542         isl_set *set;
1543
1544         if (!pw)
1545                 return NULL;
1546         for (i = 0; i < pw->n; ++i) {
1547                 set = isl_set_normalize(isl_set_copy(pw->p[i].set));
1548                 if (!set)
1549                         return FN(PW,free)(pw);
1550                 isl_set_free(pw->p[i].set);
1551                 pw->p[i].set = set;
1552         }
1553         qsort(pw->p, pw->n, sizeof(pw->p[0]), &FN(PW,qsort_set_cmp));
1554         for (i = pw->n - 1; i >= 1; --i) {
1555                 if (!isl_set_plain_is_equal(pw->p[i - 1].set, pw->p[i].set))
1556                         continue;
1557                 if (!FN(EL,plain_is_equal)(pw->p[i - 1].FIELD, pw->p[i].FIELD))
1558                         continue;
1559                 set = isl_set_union(isl_set_copy(pw->p[i - 1].set),
1560                                     isl_set_copy(pw->p[i].set));
1561                 if (!set)
1562                         return FN(PW,free)(pw);
1563                 isl_set_free(pw->p[i].set);
1564                 FN(EL,free)(pw->p[i].FIELD);
1565                 isl_set_free(pw->p[i - 1].set);
1566                 pw->p[i - 1].set = set;
1567                 for (j = i + 1; j < pw->n; ++j)
1568                         pw->p[j - 1] = pw->p[j];
1569                 pw->n--;
1570         }
1571
1572         return pw;
1573 }
1574
1575 /* Is pw1 obviously equal to pw2?
1576  * That is, do they have obviously identical cells and obviously identical
1577  * elements on each cell?
1578  */
1579 int FN(PW,plain_is_equal)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1580 {
1581         int i;
1582         int equal;
1583
1584         if (!pw1 || !pw2)
1585                 return -1;
1586
1587         if (pw1 == pw2)
1588                 return 1;
1589         if (!isl_space_is_equal(pw1->dim, pw2->dim))
1590                 return 0;
1591
1592         pw1 = FN(PW,copy)(pw1);
1593         pw2 = FN(PW,copy)(pw2);
1594         pw1 = FN(PW,normalize)(pw1);
1595         pw2 = FN(PW,normalize)(pw2);
1596         if (!pw1 || !pw2)
1597                 goto error;
1598
1599         equal = pw1->n == pw2->n;
1600         for (i = 0; equal && i < pw1->n; ++i) {
1601                 equal = isl_set_plain_is_equal(pw1->p[i].set, pw2->p[i].set);
1602                 if (equal < 0)
1603                         goto error;
1604                 if (!equal)
1605                         break;
1606                 equal = FN(EL,plain_is_equal)(pw1->p[i].FIELD, pw2->p[i].FIELD);
1607                 if (equal < 0)
1608                         goto error;
1609         }
1610
1611         FN(PW,free)(pw1);
1612         FN(PW,free)(pw2);
1613         return equal;
1614 error:
1615         FN(PW,free)(pw1);
1616         FN(PW,free)(pw2);
1617         return -1;
1618 }