isl_pw_templ.c

   1 #include <isl/aff.h>
   2
   3 #define xFN(TYPE,NAME) TYPE ## _ ## NAME
   4 #define FN(TYPE,NAME) xFN(TYPE,NAME)
   5 #define xS(TYPE,NAME) struct TYPE ## _ ## NAME
   6 #define S(TYPE,NAME) xS(TYPE,NAME)
   7
   8 #ifdef HAS_TYPE
   9 __isl_give PW *FN(PW,alloc_size)(__isl_take isl_space *dim,
  10         enum isl_fold type, int n)
  11 #else
  12 __isl_give PW *FN(PW,alloc_size)(__isl_take isl_space *dim, int n)
  13 #endif
  14 {
  15         isl_ctx *ctx;
  16         struct PW *pw;
  17
  18         if (!dim)
  19                 return NULL;
  20         ctx = isl_space_get_ctx(dim);
  21         isl_assert(ctx, n >= 0, goto error);
  22         pw = isl_alloc(ctx, struct PW,
  23                         sizeof(struct PW) + (n - 1) * sizeof(S(PW,piece)));
  24         if (!pw)
  25                 goto error;
  26
  27         pw->ref = 1;
  28 #ifdef HAS_TYPE
  29         pw->type = type;
  30 #endif
  31         pw->size = n;
  32         pw->n = 0;
  33         pw->dim = dim;
  34         return pw;
  35 error:
  36         isl_space_free(dim);
  37         return NULL;
  38 }
  39
  40 #ifdef HAS_TYPE
  41 __isl_give PW *FN(PW,ZERO)(__isl_take isl_space *dim, enum isl_fold type)
  42 {
  43         return FN(PW,alloc_size)(dim, type, 0);
  44 }
  45 #else
  46 __isl_give PW *FN(PW,ZERO)(__isl_take isl_space *dim)
  47 {
  48         return FN(PW,alloc_size)(dim, 0);
  49 }
  50 #endif
  51
  52 __isl_give PW *FN(PW,add_piece)(__isl_take PW *pw,
  53         __isl_take isl_set *set, __isl_take EL *el)
  54 {
  55         isl_ctx *ctx;
  56         isl_space *el_dim = NULL;
  57
  58         if (!pw || !set || !el)
  59                 goto error;
  60
  61         if (isl_set_plain_is_empty(set) || FN(EL,EL_IS_ZERO)(el)) {
  62                 isl_set_free(set);
  63                 FN(EL,free)(el);
  64                 return pw;
  65         }
  66
  67         ctx = isl_set_get_ctx(set);
  68 #ifdef HAS_TYPE
  69         if (pw->type != el->type)
  70                 isl_die(ctx, isl_error_invalid, "fold types don't match",
  71                         goto error);
  72 #endif
  73         el_dim = FN(EL,get_space(el));
  74         isl_assert(ctx, isl_space_is_equal(pw->dim, el_dim), goto error);
  75         isl_assert(ctx, pw->n < pw->size, goto error);
  76
  77         pw->p[pw->n].set = set;
  78         pw->p[pw->n].FIELD = el;
  79         pw->n++;
  80
  81         isl_space_free(el_dim);
  82         return pw;
  83 error:
  84         isl_space_free(el_dim);
  85         FN(PW,free)(pw);
  86         isl_set_free(set);
  87         FN(EL,free)(el);
  88         return NULL;
  89 }
  90
  91 #ifdef HAS_TYPE
  92 __isl_give PW *FN(PW,alloc)(enum isl_fold type,
  93         __isl_take isl_set *set, __isl_take EL *el)
  94 #else
  95 __isl_give PW *FN(PW,alloc)(__isl_take isl_set *set, __isl_take EL *el)
  96 #endif
  97 {
  98         PW *pw;
  99
 100         if (!set || !el)
 101                 goto error;
 102
 103 #ifdef HAS_TYPE
 104         pw = FN(PW,alloc_size)(FN(EL,get_space)(el), type, 1);
 105 #else
 106         pw = FN(PW,alloc_size)(FN(EL,get_space)(el), 1);
 107 #endif
 108
 109         return FN(PW,add_piece)(pw, set, el);
 110 error:
 111         isl_set_free(set);
 112         FN(EL,free)(el);
 113         return NULL;
 114 }
 115
 116 __isl_give PW *FN(PW,dup)(__isl_keep PW *pw)
 117 {
 118         int i;
 119         PW *dup;
 120
 121         if (!pw)
 122                 return NULL;
 123
 124 #ifdef HAS_TYPE
 125         dup = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->type, pw->n);
 126 #else
 127         dup = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->n);
 128 #endif
 129         if (!dup)
 130                 return NULL;
 131
 132         for (i = 0; i < pw->n; ++i)
 133                 dup = FN(PW,add_piece)(dup, isl_set_copy(pw->p[i].set),
 134                                             FN(EL,copy)(pw->p[i].FIELD));
 135
 136         return dup;
 137 }
 138
 139 __isl_give PW *FN(PW,cow)(__isl_take PW *pw)
 140 {
 141         if (!pw)
 142                 return NULL;
 143
 144         if (pw->ref == 1)
 145                 return pw;
 146         pw->ref--;
 147         return FN(PW,dup)(pw);
 148 }
 149
 150 __isl_give PW *FN(PW,copy)(__isl_keep PW *pw)
 151 {
 152         if (!pw)
 153                 return NULL;
 154
 155         pw->ref++;
 156         return pw;
 157 }
 158
 159 void *FN(PW,free)(__isl_take PW *pw)
 160 {
 161         int i;
 162
 163         if (!pw)
 164                 return NULL;
 165         if (--pw->ref > 0)
 166                 return NULL;
 167
 168         for (i = 0; i < pw->n; ++i) {
 169                 isl_set_free(pw->p[i].set);
 170                 FN(EL,free)(pw->p[i].FIELD);
 171         }
 172         isl_space_free(pw->dim);
 173         free(pw);
 174
 175         return NULL;
 176 }
 177
 178 const char *FN(PW,get_dim_name)(__isl_keep PW *pw, enum isl_dim_type type,
 179         unsigned pos)
 180 {
 181         return pw ? isl_space_get_dim_name(pw->dim, type, pos) : NULL;
 182 }
 183
 184 int FN(PW,has_dim_id)(__isl_keep PW *pw, enum isl_dim_type type, unsigned pos)
 185 {
 186         return pw ? isl_space_has_dim_id(pw->dim, type, pos) : -1;
 187 }
 188
 189 __isl_give isl_id *FN(PW,get_dim_id)(__isl_keep PW *pw, enum isl_dim_type type,
 190         unsigned pos)
 191 {
 192         return pw ? isl_space_get_dim_id(pw->dim, type, pos) : NULL;
 193 }
 194
 195 int FN(PW,has_tuple_name)(__isl_keep PW *pw, enum isl_dim_type type)
 196 {
 197         return pw ? isl_space_has_tuple_name(pw->dim, type) : -1;
 198 }
 199
 200 const char *FN(PW,get_tuple_name)(__isl_keep PW *pw, enum isl_dim_type type)
 201 {
 202         return pw ? isl_space_get_tuple_name(pw->dim, type) : NULL;
 203 }
 204
 205 int FN(PW,has_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
 206 {
 207         return pw ? isl_space_has_tuple_id(pw->dim, type) : -1;
 208 }
 209
 210 __isl_give isl_id *FN(PW,get_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
 211 {
 212         return pw ? isl_space_get_tuple_id(pw->dim, type) : NULL;
 213 }
 214
 215 int FN(PW,IS_ZERO)(__isl_keep PW *pw)
 216 {
 217         if (!pw)
 218                 return -1;
 219
 220         return pw->n == 0;
 221 }
 222
 223 #ifndef NO_REALIGN
 224 __isl_give PW *FN(PW,realign_domain)(__isl_take PW *pw,
 225         __isl_take isl_reordering *exp)
 226 {
 227         int i;
 228
 229         pw = FN(PW,cow)(pw);
 230         if (!pw || !exp)
 231                 goto error;
 232
 233         for (i = 0; i < pw->n; ++i) {
 234                 pw->p[i].set = isl_set_realign(pw->p[i].set,
 235                                                     isl_reordering_copy(exp));
 236                 if (!pw->p[i].set)
 237                         goto error;
 238                 pw->p[i].FIELD = FN(EL,realign_domain)(pw->p[i].FIELD,
 239                                                     isl_reordering_copy(exp));
 240                 if (!pw->p[i].FIELD)
 241                         goto error;
 242         }
 243
 244         pw = FN(PW,reset_domain_space)(pw, isl_space_copy(exp->dim));
 245
 246         isl_reordering_free(exp);
 247         return pw;
 248 error:
 249         isl_reordering_free(exp);
 250         FN(PW,free)(pw);
 251         return NULL;
 252 }
 253
 254 /* Align the parameters of "pw" to those of "model".
 255  */
 256 __isl_give PW *FN(PW,align_params)(__isl_take PW *pw, __isl_take isl_space *model)
 257 {
 258         isl_ctx *ctx;
 259
 260         if (!pw || !model)
 261                 goto error;
 262
 263         ctx = isl_space_get_ctx(model);
 264         if (!isl_space_has_named_params(model))
 265                 isl_die(ctx, isl_error_invalid,
 266                         "model has unnamed parameters", goto error);
 267         if (!isl_space_has_named_params(pw->dim))
 268                 isl_die(ctx, isl_error_invalid,
 269                         "input has unnamed parameters", goto error);
 270         if (!isl_space_match(pw->dim, isl_dim_param, model, isl_dim_param)) {
 271                 isl_reordering *exp;
 272
 273                 model = isl_space_drop_dims(model, isl_dim_in,
 274                                         0, isl_space_dim(model, isl_dim_in));
 275                 model = isl_space_drop_dims(model, isl_dim_out,
 276                                         0, isl_space_dim(model, isl_dim_out));
 277                 exp = isl_parameter_alignment_reordering(pw->dim, model);
 278                 exp = isl_reordering_extend_space(exp,
 279                                         FN(PW,get_domain_space)(pw));
 280                 pw = FN(PW,realign_domain)(pw, exp);
 281         }
 282
 283         isl_space_free(model);
 284         return pw;
 285 error:
 286         isl_space_free(model);
 287         FN(PW,free)(pw);
 288         return NULL;
 289 }
 290
 291 static __isl_give PW *FN(PW,align_params_pw_pw_and)(__isl_take PW *pw1,
 292         __isl_take PW *pw2,
 293         __isl_give PW *(*fn)(__isl_take PW *pw1, __isl_take PW *pw2))
 294 {
 295         isl_ctx *ctx;
 296
 297         if (!pw1 || !pw2)
 298                 goto error;
 299         if (isl_space_match(pw1->dim, isl_dim_param, pw2->dim, isl_dim_param))
 300                 return fn(pw1, pw2);
 301         ctx = FN(PW,get_ctx)(pw1);
 302         if (!isl_space_has_named_params(pw1->dim) ||
 303             !isl_space_has_named_params(pw2->dim))
 304                 isl_die(ctx, isl_error_invalid,
 305                         "unaligned unnamed parameters", goto error);
 306         pw1 = FN(PW,align_params)(pw1, FN(PW,get_space)(pw2));
 307         pw2 = FN(PW,align_params)(pw2, FN(PW,get_space)(pw1));
 308         return fn(pw1, pw2);
 309 error:
 310         FN(PW,free)(pw1);
 311         FN(PW,free)(pw2);
 312         return NULL;
 313 }
 314
 315 static __isl_give PW *FN(PW,align_params_pw_set_and)(__isl_take PW *pw,
 316         __isl_take isl_set *set,
 317         __isl_give PW *(*fn)(__isl_take PW *pw, __isl_take isl_set *set))
 318 {
 319         isl_ctx *ctx;
 320
 321         if (!pw || !set)
 322                 goto error;
 323         if (isl_space_match(pw->dim, isl_dim_param, set->dim, isl_dim_param))
 324                 return fn(pw, set);
 325         ctx = FN(PW,get_ctx)(pw);
 326         if (!isl_space_has_named_params(pw->dim) ||
 327             !isl_space_has_named_params(set->dim))
 328                 isl_die(ctx, isl_error_invalid,
 329                         "unaligned unnamed parameters", goto error);
 330         pw = FN(PW,align_params)(pw, isl_set_get_space(set));
 331         set = isl_set_align_params(set, FN(PW,get_space)(pw));
 332         return fn(pw, set);
 333 error:
 334         FN(PW,free)(pw);
 335         isl_set_free(set);
 336         return NULL;
 337 }
 338 #endif
 339
 340 static __isl_give PW *FN(PW,union_add_aligned)(__isl_take PW *pw1,
 341         __isl_take PW *pw2)
 342 {
 343         int i, j, n;
 344         struct PW *res;
 345         isl_ctx *ctx;
 346         isl_set *set;
 347
 348         if (!pw1 || !pw2)
 349                 goto error;
 350
 351         ctx = isl_space_get_ctx(pw1->dim);
 352 #ifdef HAS_TYPE
 353         if (pw1->type != pw2->type)
 354                 isl_die(ctx, isl_error_invalid,
 355                         "fold types don't match", goto error);
 356 #endif
 357         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 358
 359         if (FN(PW,IS_ZERO)(pw1)) {
 360                 FN(PW,free)(pw1);
 361                 return pw2;
 362         }
 363
 364         if (FN(PW,IS_ZERO)(pw2)) {
 365                 FN(PW,free)(pw2);
 366                 return pw1;
 367         }
 368
 369         n = (pw1->n + 1) * (pw2->n + 1);
 370 #ifdef HAS_TYPE
 371         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), pw1->type, n);
 372 #else
 373         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), n);
 374 #endif
 375
 376         for (i = 0; i < pw1->n; ++i) {
 377                 set = isl_set_copy(pw1->p[i].set);
 378                 for (j = 0; j < pw2->n; ++j) {
 379                         struct isl_set *common;
 380                         EL *sum;
 381                         common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
 382                                                 isl_set_copy(pw2->p[j].set));
 383                         if (isl_set_plain_is_empty(common)) {
 384                                 isl_set_free(common);
 385                                 continue;
 386                         }
 387                         set = isl_set_subtract(set,
 388                                         isl_set_copy(pw2->p[j].set));
 389
 390                         sum = FN(EL,add_on_domain)(common,
 391                                                    FN(EL,copy)(pw1->p[i].FIELD),
 392                                                    FN(EL,copy)(pw2->p[j].FIELD));
 393
 394                         res = FN(PW,add_piece)(res, common, sum);
 395                 }
 396                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw1->p[i].FIELD));
 397         }
 398
 399         for (j = 0; j < pw2->n; ++j) {
 400                 set = isl_set_copy(pw2->p[j].set);
 401                 for (i = 0; i < pw1->n; ++i)
 402                         set = isl_set_subtract(set,
 403                                         isl_set_copy(pw1->p[i].set));
 404                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw2->p[j].FIELD));
 405         }
 406
 407         FN(PW,free)(pw1);
 408         FN(PW,free)(pw2);
 409
 410         return res;
 411 error:
 412         FN(PW,free)(pw1);
 413         FN(PW,free)(pw2);
 414         return NULL;
 415 }
 416
 417 /* Private version of "union_add".  For isl_pw_qpolynomial and
 418  * isl_pw_qpolynomial_fold, we prefer to simply call it "add".
 419  */
 420 static __isl_give PW *FN(PW,union_add_)(__isl_take PW *pw1, __isl_take PW *pw2)
 421 {
 422         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
 423                                                 &FN(PW,union_add_aligned));
 424 }
 425
 426 /* Make sure "pw" has room for at least "n" more pieces.
 427  *
 428  * If there is only one reference to pw, we extend it in place.
 429  * Otherwise, we create a new PW and copy the pieces.
 430  */
 431 static __isl_give PW *FN(PW,grow)(__isl_take PW *pw, int n)
 432 {
 433         int i;
 434         isl_ctx *ctx;
 435         PW *res;
 436
 437         if (!pw)
 438                 return NULL;
 439         if (pw->n + n <= pw->size)
 440                 return pw;
 441         ctx = FN(PW,get_ctx)(pw);
 442         n += pw->n;
 443         if (pw->ref == 1) {
 444                 res = isl_realloc(ctx, pw, struct PW,
 445                             sizeof(struct PW) + (n - 1) * sizeof(S(PW,piece)));
 446                 if (!res)
 447                         return FN(PW,free)(pw);
 448                 res->size = n;
 449                 return res;
 450         }
 451 #ifdef HAS_TYPE
 452         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->type, n);
 453 #else
 454         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), n);
 455 #endif
 456         if (!res)
 457                 return FN(PW,free)(pw);
 458         for (i = 0; i < pw->n; ++i)
 459                 res = FN(PW,add_piece)(res, isl_set_copy(pw->p[i].set),
 460                                             FN(EL,copy)(pw->p[i].FIELD));
 461         FN(PW,free)(pw);
 462         return res;
 463 }
 464
 465 static __isl_give PW *FN(PW,add_disjoint_aligned)(__isl_take PW *pw1,
 466         __isl_take PW *pw2)
 467 {
 468         int i;
 469         isl_ctx *ctx;
 470
 471         if (!pw1 || !pw2)
 472                 goto error;
 473
 474         if (pw1->size < pw1->n + pw2->n && pw1->n < pw2->n)
 475                 return FN(PW,add_disjoint_aligned)(pw2, pw1);
 476
 477         ctx = isl_space_get_ctx(pw1->dim);
 478 #ifdef HAS_TYPE
 479         if (pw1->type != pw2->type)
 480                 isl_die(ctx, isl_error_invalid,
 481                         "fold types don't match", goto error);
 482 #endif
 483         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 484
 485         if (FN(PW,IS_ZERO)(pw1)) {
 486                 FN(PW,free)(pw1);
 487                 return pw2;
 488         }
 489
 490         if (FN(PW,IS_ZERO)(pw2)) {
 491                 FN(PW,free)(pw2);
 492                 return pw1;
 493         }
 494
 495         pw1 = FN(PW,grow)(pw1, pw2->n);
 496         if (!pw1)
 497                 goto error;
 498
 499         for (i = 0; i < pw2->n; ++i)
 500                 pw1 = FN(PW,add_piece)(pw1,
 501                                 isl_set_copy(pw2->p[i].set),
 502                                 FN(EL,copy)(pw2->p[i].FIELD));
 503
 504         FN(PW,free)(pw2);
 505
 506         return pw1;
 507 error:
 508         FN(PW,free)(pw1);
 509         FN(PW,free)(pw2);
 510         return NULL;
 511 }
 512
 513 __isl_give PW *FN(PW,add_disjoint)(__isl_take PW *pw1, __isl_take PW *pw2)
 514 {
 515         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
 516                                                 &FN(PW,add_disjoint_aligned));
 517 }
 518
 519 /* This function is currently only used from isl_aff.c
 520  */
 521 static __isl_give PW *FN(PW,on_shared_domain_in)(__isl_take PW *pw1,
 522         __isl_take PW *pw2, __isl_take isl_space *space,
 523         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 524         __attribute__ ((unused));
 525
 526 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
 527  * The result of "fn" (and therefore also of this function) lives in "space".
 528  */
 529 static __isl_give PW *FN(PW,on_shared_domain_in)(__isl_take PW *pw1,
 530         __isl_take PW *pw2, __isl_take isl_space *space,
 531         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 532 {
 533         int i, j, n;
 534         PW *res = NULL;
 535
 536         if (!pw1 || !pw2)
 537                 goto error;
 538
 539         n = pw1->n * pw2->n;
 540 #ifdef HAS_TYPE
 541         res = FN(PW,alloc_size)(isl_space_copy(space), pw1->type, n);
 542 #else
 543         res = FN(PW,alloc_size)(isl_space_copy(space), n);
 544 #endif
 545
 546         for (i = 0; i < pw1->n; ++i) {
 547                 for (j = 0; j < pw2->n; ++j) {
 548                         isl_set *common;
 549                         EL *res_ij;
 550                         int empty;
 551
 552                         common = isl_set_intersect(
 553                                         isl_set_copy(pw1->p[i].set),
 554                                         isl_set_copy(pw2->p[j].set));
 555                         empty = isl_set_plain_is_empty(common);
 556                         if (empty < 0 || empty) {
 557                                 isl_set_free(common);
 558                                 if (empty < 0)
 559                                         goto error;
 560                                 continue;
 561                         }
 562
 563                         res_ij = fn(FN(EL,copy)(pw1->p[i].FIELD),
 564                                     FN(EL,copy)(pw2->p[j].FIELD));
 565                         res_ij = FN(EL,gist)(res_ij, isl_set_copy(common));
 566
 567                         res = FN(PW,add_piece)(res, common, res_ij);
 568                 }
 569         }
 570
 571         isl_space_free(space);
 572         FN(PW,free)(pw1);
 573         FN(PW,free)(pw2);
 574         return res;
 575 error:
 576         isl_space_free(space);
 577         FN(PW,free)(pw1);
 578         FN(PW,free)(pw2);
 579         FN(PW,free)(res);
 580         return NULL;
 581 }
 582
 583 /* This function is currently only used from isl_aff.c
 584  */
 585 static __isl_give PW *FN(PW,on_shared_domain)(__isl_take PW *pw1,
 586         __isl_take PW *pw2,
 587         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 588         __attribute__ ((unused));
 589
 590 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
 591  * The result of "fn" is assumed to live in the same space as "pw1" and "pw2".
 592  */
 593 static __isl_give PW *FN(PW,on_shared_domain)(__isl_take PW *pw1,
 594         __isl_take PW *pw2,
 595         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 596 {
 597         isl_space *space;
 598
 599         if (!pw1 || !pw2)
 600                 goto error;
 601
 602         space = isl_space_copy(pw1->dim);
 603         return FN(PW,on_shared_domain_in)(pw1, pw2, space, fn);
 604 error:
 605         FN(PW,free)(pw1);
 606         FN(PW,free)(pw2);
 607         return NULL;
 608 }
 609
 610 #ifndef NO_NEG
 611 __isl_give PW *FN(PW,neg)(__isl_take PW *pw)
 612 {
 613         int i;
 614
 615         if (!pw)
 616                 return NULL;
 617
 618         if (FN(PW,IS_ZERO)(pw))
 619                 return pw;
 620
 621         pw = FN(PW,cow)(pw);
 622         if (!pw)
 623                 return NULL;
 624
 625         for (i = 0; i < pw->n; ++i) {
 626                 pw->p[i].FIELD = FN(EL,neg)(pw->p[i].FIELD);
 627                 if (!pw->p[i].FIELD)
 628                         return FN(PW,free)(pw);
 629         }
 630
 631         return pw;
 632 }
 633
 634 __isl_give PW *FN(PW,sub)(__isl_take PW *pw1, __isl_take PW *pw2)
 635 {
 636         return FN(PW,add)(pw1, FN(PW,neg)(pw2));
 637 }
 638 #endif
 639
 640 #ifndef NO_EVAL
 641 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
 642         __isl_take isl_point *pnt)
 643 {
 644         int i;
 645         int found = 0;
 646         isl_ctx *ctx;
 647         isl_space *pnt_dim = NULL;
 648         isl_qpolynomial *qp;
 649
 650         if (!pw || !pnt)
 651                 goto error;
 652         ctx = isl_point_get_ctx(pnt);
 653         pnt_dim = isl_point_get_space(pnt);
 654         isl_assert(ctx, isl_space_is_domain_internal(pnt_dim, pw->dim),
 655                     goto error);
 656
 657         for (i = 0; i < pw->n; ++i) {
 658                 found = isl_set_contains_point(pw->p[i].set, pnt);
 659                 if (found < 0)
 660                         goto error;
 661                 if (found)
 662                         break;
 663         }
 664         if (found)
 665                 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
 666                                             isl_point_copy(pnt));
 667         else
 668                 qp = isl_qpolynomial_zero_on_domain(FN(PW,get_domain_space)(pw));
 669         FN(PW,free)(pw);
 670         isl_space_free(pnt_dim);
 671         isl_point_free(pnt);
 672         return qp;
 673 error:
 674         FN(PW,free)(pw);
 675         isl_space_free(pnt_dim);
 676         isl_point_free(pnt);
 677         return NULL;
 678 }
 679 #endif
 680
 681 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
 682 {
 683         int i;
 684         isl_set *dom;
 685
 686         if (!pw)
 687                 return NULL;
 688
 689         dom = isl_set_empty(FN(PW,get_domain_space)(pw));
 690         for (i = 0; i < pw->n; ++i)
 691                 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
 692
 693         FN(PW,free)(pw);
 694
 695         return dom;
 696 }
 697
 698 /* Restrict the domain of "pw" by combining each cell
 699  * with "set" through a call to "fn", where "fn" may be
 700  * isl_set_intersect or isl_set_intersect_params.
 701  */
 702 static __isl_give PW *FN(PW,intersect_aligned)(__isl_take PW *pw,
 703         __isl_take isl_set *set,
 704         __isl_give isl_set *(*fn)(__isl_take isl_set *set1,
 705                                     __isl_take isl_set *set2))
 706 {
 707         int i;
 708
 709         if (!pw || !set)
 710                 goto error;
 711
 712         if (pw->n == 0) {
 713                 isl_set_free(set);
 714                 return pw;
 715         }
 716
 717         pw = FN(PW,cow)(pw);
 718         if (!pw)
 719                 goto error;
 720
 721         for (i = pw->n - 1; i >= 0; --i) {
 722                 isl_basic_set *aff;
 723                 pw->p[i].set = fn(pw->p[i].set, isl_set_copy(set));
 724                 if (!pw->p[i].set)
 725                         goto error;
 726                 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
 727                 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
 728                                                                 aff);
 729                 if (!pw->p[i].FIELD)
 730                         goto error;
 731                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 732                         isl_set_free(pw->p[i].set);
 733                         FN(EL,free)(pw->p[i].FIELD);
 734                         if (i != pw->n - 1)
 735                                 pw->p[i] = pw->p[pw->n - 1];
 736                         pw->n--;
 737                 }
 738         }
 739
 740         isl_set_free(set);
 741         return pw;
 742 error:
 743         isl_set_free(set);
 744         FN(PW,free)(pw);
 745         return NULL;
 746 }
 747
 748 static __isl_give PW *FN(PW,intersect_domain_aligned)(__isl_take PW *pw,
 749         __isl_take isl_set *set)
 750 {
 751         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect);
 752 }
 753
 754 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw,
 755         __isl_take isl_set *context)
 756 {
 757         return FN(PW,align_params_pw_set_and)(pw, context,
 758                                         &FN(PW,intersect_domain_aligned));
 759 }
 760
 761 static __isl_give PW *FN(PW,intersect_params_aligned)(__isl_take PW *pw,
 762         __isl_take isl_set *set)
 763 {
 764         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect_params);
 765 }
 766
 767 /* Intersect the domain of "pw" with the parameter domain "context".
 768  */
 769 __isl_give PW *FN(PW,intersect_params)(__isl_take PW *pw,
 770         __isl_take isl_set *context)
 771 {
 772         return FN(PW,align_params_pw_set_and)(pw, context,
 773                                         &FN(PW,intersect_params_aligned));
 774 }
 775
 776 static __isl_give PW *FN(PW,gist_aligned)(__isl_take PW *pw,
 777         __isl_take isl_set *context,
 778         __isl_give EL *(*fn_el)(__isl_take EL *el,
 779                                     __isl_take isl_set *set),
 780         __isl_give isl_set *(*fn_dom)(__isl_take isl_set *set,
 781                                     __isl_take isl_basic_set *bset))
 782 {
 783         int i;
 784         isl_basic_set *hull = NULL;
 785
 786         if (!pw || !context)
 787                 goto error;
 788
 789         if (pw->n == 0) {
 790                 isl_set_free(context);
 791                 return pw;
 792         }
 793
 794         if (!isl_space_match(pw->dim, isl_dim_param,
 795                                 context->dim, isl_dim_param)) {
 796                 pw = FN(PW,align_params)(pw, isl_set_get_space(context));
 797                 context = isl_set_align_params(context, FN(PW,get_space)(pw));
 798         }
 799
 800         context = isl_set_compute_divs(context);
 801         hull = isl_set_simple_hull(isl_set_copy(context));
 802
 803         pw = FN(PW,cow)(pw);
 804         if (!pw)
 805                 goto error;
 806
 807         for (i = pw->n - 1; i >= 0; --i) {
 808                 isl_set *set_i;
 809                 int empty;
 810
 811                 set_i = isl_set_intersect(isl_set_copy(pw->p[i].set),
 812                                                  isl_set_copy(context));
 813                 empty = isl_set_plain_is_empty(set_i);
 814                 pw->p[i].FIELD = fn_el(pw->p[i].FIELD, set_i);
 815                 pw->p[i].set = fn_dom(pw->p[i].set, isl_basic_set_copy(hull));
 816                 if (!pw->p[i].FIELD || !pw->p[i].set)
 817                         goto error;
 818                 if (empty) {
 819                         isl_set_free(pw->p[i].set);
 820                         FN(EL,free)(pw->p[i].FIELD);
 821                         if (i != pw->n - 1)
 822                                 pw->p[i] = pw->p[pw->n - 1];
 823                         pw->n--;
 824                 }
 825         }
 826
 827         isl_basic_set_free(hull);
 828         isl_set_free(context);
 829
 830         return pw;
 831 error:
 832         FN(PW,free)(pw);
 833         isl_basic_set_free(hull);
 834         isl_set_free(context);
 835         return NULL;
 836 }
 837
 838 static __isl_give PW *FN(PW,gist_domain_aligned)(__isl_take PW *pw,
 839         __isl_take isl_set *set)
 840 {
 841         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist),
 842                                         &isl_set_gist_basic_set);
 843 }
 844
 845 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
 846 {
 847         return FN(PW,align_params_pw_set_and)(pw, context,
 848                                                 &FN(PW,gist_domain_aligned));
 849 }
 850
 851 static __isl_give PW *FN(PW,gist_params_aligned)(__isl_take PW *pw,
 852         __isl_take isl_set *set)
 853 {
 854         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist_params),
 855                                         &isl_set_gist_params_basic_set);
 856 }
 857
 858 __isl_give PW *FN(PW,gist_params)(__isl_take PW *pw,
 859         __isl_take isl_set *context)
 860 {
 861         return FN(PW,align_params_pw_set_and)(pw, context,
 862                                                 &FN(PW,gist_params_aligned));
 863 }
 864
 865 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
 866 {
 867         int i, j;
 868
 869         if (!pw)
 870                 return NULL;
 871         if (pw->n == 0)
 872                 return pw;
 873
 874         for (i = pw->n - 1; i >= 0; --i) {
 875                 for (j = i - 1; j >= 0; --j) {
 876                         if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
 877                                                         pw->p[j].FIELD))
 878                                 continue;
 879                         pw->p[j].set = isl_set_union(pw->p[j].set,
 880                                                         pw->p[i].set);
 881                         FN(EL,free)(pw->p[i].FIELD);
 882                         if (i != pw->n - 1)
 883                                 pw->p[i] = pw->p[pw->n - 1];
 884                         pw->n--;
 885                         break;
 886                 }
 887                 if (j >= 0)
 888                         continue;
 889                 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
 890                 if (!pw->p[i].set)
 891                         goto error;
 892         }
 893
 894         return pw;
 895 error:
 896         FN(PW,free)(pw);
 897         return NULL;
 898 }
 899
 900 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
 901 {
 902         return pw ? isl_space_get_ctx(pw->dim) : NULL;
 903 }
 904
 905 #ifndef NO_INVOLVES_DIMS
 906 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
 907         unsigned first, unsigned n)
 908 {
 909         int i;
 910         enum isl_dim_type set_type;
 911
 912         if (!pw)
 913                 return -1;
 914         if (pw->n == 0 || n == 0)
 915                 return 0;
 916
 917         set_type = type == isl_dim_in ? isl_dim_set : type;
 918
 919         for (i = 0; i < pw->n; ++i) {
 920                 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
 921                                                         type, first, n);
 922                 if (involves < 0 || involves)
 923                         return involves;
 924                 involves = isl_set_involves_dims(pw->p[i].set,
 925                                                         set_type, first, n);
 926                 if (involves < 0 || involves)
 927                         return involves;
 928         }
 929         return 0;
 930 }
 931 #endif
 932
 933 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
 934         enum isl_dim_type type, unsigned pos, const char *s)
 935 {
 936         int i;
 937         enum isl_dim_type set_type;
 938
 939         pw = FN(PW,cow)(pw);
 940         if (!pw)
 941                 return NULL;
 942
 943         set_type = type == isl_dim_in ? isl_dim_set : type;
 944
 945         pw->dim = isl_space_set_dim_name(pw->dim, type, pos, s);
 946         if (!pw->dim)
 947                 goto error;
 948
 949         for (i = 0; i < pw->n; ++i) {
 950                 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set,
 951                                                         set_type, pos, s);
 952                 if (!pw->p[i].set)
 953                         goto error;
 954                 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
 955                 if (!pw->p[i].FIELD)
 956                         goto error;
 957         }
 958
 959         return pw;
 960 error:
 961         FN(PW,free)(pw);
 962         return NULL;
 963 }
 964
 965 #ifndef NO_DROP_DIMS
 966 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
 967         enum isl_dim_type type, unsigned first, unsigned n)
 968 {
 969         int i;
 970         enum isl_dim_type set_type;
 971
 972         if (!pw)
 973                 return NULL;
 974         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 975                 return pw;
 976
 977         set_type = type == isl_dim_in ? isl_dim_set : type;
 978
 979         pw = FN(PW,cow)(pw);
 980         if (!pw)
 981                 return NULL;
 982         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 983         if (!pw->dim)
 984                 goto error;
 985         for (i = 0; i < pw->n; ++i) {
 986                 pw->p[i].set = isl_set_drop(pw->p[i].set, set_type, first, n);
 987                 if (!pw->p[i].set)
 988                         goto error;
 989                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 990                 if (!pw->p[i].FIELD)
 991                         goto error;
 992         }
 993
 994         return pw;
 995 error:
 996         FN(PW,free)(pw);
 997         return NULL;
 998 }
 999
1000 /* This function is very similar to drop_dims.
1001  * The only difference is that the cells may still involve
1002  * the specified dimensions.  They are removed using
1003  * isl_set_project_out instead of isl_set_drop.
1004  */
1005 __isl_give PW *FN(PW,project_out)(__isl_take PW *pw,
1006         enum isl_dim_type type, unsigned first, unsigned n)
1007 {
1008         int i;
1009         enum isl_dim_type set_type;
1010
1011         if (!pw)
1012                 return NULL;
1013         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
1014                 return pw;
1015
1016         set_type = type == isl_dim_in ? isl_dim_set : type;
1017
1018         pw = FN(PW,cow)(pw);
1019         if (!pw)
1020                 return NULL;
1021         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
1022         if (!pw->dim)
1023                 goto error;
1024         for (i = 0; i < pw->n; ++i) {
1025                 pw->p[i].set = isl_set_project_out(pw->p[i].set,
1026                                                         set_type, first, n);
1027                 if (!pw->p[i].set)
1028                         goto error;
1029                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
1030                 if (!pw->p[i].FIELD)
1031                         goto error;
1032         }
1033
1034         return pw;
1035 error:
1036         FN(PW,free)(pw);
1037         return NULL;
1038 }
1039
1040 /* Project the domain of pw onto its parameter space.
1041  */
1042 __isl_give PW *FN(PW,project_domain_on_params)(__isl_take PW *pw)
1043 {
1044         isl_space *space;
1045         unsigned n;
1046
1047         n = FN(PW,dim)(pw, isl_dim_in);
1048         pw = FN(PW,project_out)(pw, isl_dim_in, 0, n);
1049         space = FN(PW,get_domain_space)(pw);
1050         space = isl_space_params(space);
1051         pw = FN(PW,reset_domain_space)(pw, space);
1052         return pw;
1053 }
1054 #endif
1055
1056 #ifndef NO_INSERT_DIMS
1057 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
1058         unsigned first, unsigned n)
1059 {
1060         int i;
1061         enum isl_dim_type set_type;
1062
1063         if (!pw)
1064                 return NULL;
1065         if (n == 0 && !isl_space_is_named_or_nested(pw->dim, type))
1066                 return pw;
1067
1068         set_type = type == isl_dim_in ? isl_dim_set : type;
1069
1070         pw = FN(PW,cow)(pw);
1071         if (!pw)
1072                 return NULL;
1073
1074         pw->dim = isl_space_insert_dims(pw->dim, type, first, n);
1075         if (!pw->dim)
1076                 goto error;
1077
1078         for (i = 0; i < pw->n; ++i) {
1079                 pw->p[i].set = isl_set_insert_dims(pw->p[i].set,
1080                                                             set_type, first, n);
1081                 if (!pw->p[i].set)
1082                         goto error;
1083                 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
1084                                                                 type, first, n);
1085                 if (!pw->p[i].FIELD)
1086                         goto error;
1087         }
1088
1089         return pw;
1090 error:
1091         FN(PW,free)(pw);
1092         return NULL;
1093 }
1094 #endif
1095
1096 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
1097         enum isl_dim_type type, unsigned pos, isl_int v)
1098 {
1099         int i;
1100
1101         if (!pw)
1102                 return NULL;
1103
1104         if (type == isl_dim_in)
1105                 type = isl_dim_set;
1106
1107         pw = FN(PW,cow)(pw);
1108         if (!pw)
1109                 return NULL;
1110         for (i = 0; i < pw->n; ++i) {
1111                 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
1112                 if (!pw->p[i].set)
1113                         goto error;
1114         }
1115
1116         return pw;
1117 error:
1118         FN(PW,free)(pw);
1119         return NULL;
1120 }
1121
1122 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
1123 {
1124         return pw ? isl_space_dim(pw->dim, type) : 0;
1125 }
1126
1127 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
1128         enum isl_dim_type type, unsigned first, unsigned n)
1129 {
1130         int i;
1131
1132         if (!pw)
1133                 return NULL;
1134         if (n == 0)
1135                 return pw;
1136
1137         if (type == isl_dim_in)
1138                 type = isl_dim_set;
1139
1140         pw = FN(PW,cow)(pw);
1141         if (!pw)
1142                 return NULL;
1143         if (!pw->dim)
1144                 goto error;
1145         for (i = 0; i < pw->n; ++i) {
1146                 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
1147                 if (!pw->p[i].set)
1148                         goto error;
1149         }
1150
1151         return pw;
1152 error:
1153         FN(PW,free)(pw);
1154         return NULL;
1155 }
1156
1157 #ifndef NO_OPT
1158 /* Compute the maximal value attained by the piecewise quasipolynomial
1159  * on its domain or zero if the domain is empty.
1160  * In the worst case, the domain is scanned completely,
1161  * so the domain is assumed to be bounded.
1162  */
1163 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
1164 {
1165         int i;
1166         isl_qpolynomial *opt;
1167
1168         if (!pw)
1169                 return NULL;
1170
1171         if (pw->n == 0) {
1172                 isl_space *dim = isl_space_copy(pw->dim);
1173                 FN(PW,free)(pw);
1174                 return isl_qpolynomial_zero_on_domain(isl_space_domain(dim));
1175         }
1176
1177         opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
1178                                         isl_set_copy(pw->p[0].set), max);
1179         for (i = 1; i < pw->n; ++i) {
1180                 isl_qpolynomial *opt_i;
1181                 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
1182                                                 isl_set_copy(pw->p[i].set), max);
1183                 if (max)
1184                         opt = isl_qpolynomial_max_cst(opt, opt_i);
1185                 else
1186                         opt = isl_qpolynomial_min_cst(opt, opt_i);
1187         }
1188
1189         FN(PW,free)(pw);
1190         return opt;
1191 }
1192
1193 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
1194 {
1195         return FN(PW,opt)(pw, 1);
1196 }
1197
1198 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
1199 {
1200         return FN(PW,opt)(pw, 0);
1201 }
1202 #endif
1203
1204 __isl_give isl_space *FN(PW,get_space)(__isl_keep PW *pw)
1205 {
1206         return pw ? isl_space_copy(pw->dim) : NULL;
1207 }
1208
1209 __isl_give isl_space *FN(PW,get_domain_space)(__isl_keep PW *pw)
1210 {
1211         return pw ? isl_space_domain(isl_space_copy(pw->dim)) : NULL;
1212 }
1213
1214 #ifndef NO_RESET_DIM
1215 /* Reset the space of "pw".  Since we don't know if the elements
1216  * represent the spaces themselves or their domains, we pass along
1217  * both when we call their reset_space_and_domain.
1218  */
1219 static __isl_give PW *FN(PW,reset_space_and_domain)(__isl_take PW *pw,
1220         __isl_take isl_space *space, __isl_take isl_space *domain)
1221 {
1222         int i;
1223
1224         pw = FN(PW,cow)(pw);
1225         if (!pw || !space || !domain)
1226                 goto error;
1227
1228         for (i = 0; i < pw->n; ++i) {
1229                 pw->p[i].set = isl_set_reset_space(pw->p[i].set,
1230                                                  isl_space_copy(domain));
1231                 if (!pw->p[i].set)
1232                         goto error;
1233                 pw->p[i].FIELD = FN(EL,reset_space_and_domain)(pw->p[i].FIELD,
1234                               isl_space_copy(space), isl_space_copy(domain));
1235                 if (!pw->p[i].FIELD)
1236                         goto error;
1237         }
1238
1239         isl_space_free(domain);
1240
1241         isl_space_free(pw->dim);
1242         pw->dim = space;
1243
1244         return pw;
1245 error:
1246         isl_space_free(domain);
1247         isl_space_free(space);
1248         FN(PW,free)(pw);
1249         return NULL;
1250 }
1251
1252 __isl_give PW *FN(PW,reset_domain_space)(__isl_take PW *pw,
1253         __isl_take isl_space *domain)
1254 {
1255         isl_space *space;
1256
1257         space = isl_space_extend_domain_with_range(isl_space_copy(domain),
1258                                                    FN(PW,get_space)(pw));
1259         return FN(PW,reset_space_and_domain)(pw, space, domain);
1260 }
1261
1262 __isl_give PW *FN(PW,reset_space)(__isl_take PW *pw, __isl_take isl_space *dim)
1263 {
1264         isl_space *domain;
1265
1266         domain = isl_space_domain(isl_space_copy(dim));
1267         return FN(PW,reset_space_and_domain)(pw, dim, domain);
1268 }
1269
1270 __isl_give PW *FN(PW,set_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type,
1271         __isl_take isl_id *id)
1272 {
1273         isl_space *space;
1274
1275         pw = FN(PW,cow)(pw);
1276         if (!pw)
1277                 return isl_id_free(id);
1278
1279         space = FN(PW,get_space)(pw);
1280         space = isl_space_set_tuple_id(space, type, id);
1281
1282         return FN(PW,reset_space)(pw, space);
1283 }
1284
1285 __isl_give PW *FN(PW,set_dim_id)(__isl_take PW *pw,
1286         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
1287 {
1288         pw = FN(PW,cow)(pw);
1289         if (!pw)
1290                 return isl_id_free(id);
1291         pw->dim = isl_space_set_dim_id(pw->dim, type, pos, id);
1292         return FN(PW,reset_space)(pw, isl_space_copy(pw->dim));
1293 }
1294 #endif
1295
1296 int FN(PW,has_equal_space)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1297 {
1298         if (!pw1 || !pw2)
1299                 return -1;
1300
1301         return isl_space_is_equal(pw1->dim, pw2->dim);
1302 }
1303
1304 #ifndef NO_MORPH
1305 __isl_give PW *FN(PW,morph_domain)(__isl_take PW *pw,
1306         __isl_take isl_morph *morph)
1307 {
1308         int i;
1309         isl_ctx *ctx;
1310
1311         if (!pw || !morph)
1312                 goto error;
1313
1314         ctx = isl_space_get_ctx(pw->dim);
1315         isl_assert(ctx, isl_space_is_domain_internal(morph->dom->dim, pw->dim),
1316                 goto error);
1317
1318         pw = FN(PW,cow)(pw);
1319         if (!pw)
1320                 goto error;
1321         pw->dim = isl_space_extend_domain_with_range(
1322                         isl_space_copy(morph->ran->dim), pw->dim);
1323         if (!pw->dim)
1324                 goto error;
1325
1326         for (i = 0; i < pw->n; ++i) {
1327                 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
1328                 if (!pw->p[i].set)
1329                         goto error;
1330                 pw->p[i].FIELD = FN(EL,morph_domain)(pw->p[i].FIELD,
1331                                                 isl_morph_copy(morph));
1332                 if (!pw->p[i].FIELD)
1333                         goto error;
1334         }
1335
1336         isl_morph_free(morph);
1337
1338         return pw;
1339 error:
1340         FN(PW,free)(pw);
1341         isl_morph_free(morph);
1342         return NULL;
1343 }
1344 #endif
1345
1346 int FN(PW,n_piece)(__isl_keep PW *pw)
1347 {
1348         return pw ? pw->n : 0;
1349 }
1350
1351 int FN(PW,foreach_piece)(__isl_keep PW *pw,
1352         int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
1353         void *user)
1354 {
1355         int i;
1356
1357         if (!pw)
1358                 return -1;
1359
1360         for (i = 0; i < pw->n; ++i)
1361                 if (fn(isl_set_copy(pw->p[i].set),
1362                                 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
1363                         return -1;
1364
1365         return 0;
1366 }
1367
1368 #ifndef NO_LIFT
1369 static int any_divs(__isl_keep isl_set *set)
1370 {
1371         int i;
1372
1373         if (!set)
1374                 return -1;
1375
1376         for (i = 0; i < set->n; ++i)
1377                 if (set->p[i]->n_div > 0)
1378                         return 1;
1379
1380         return 0;
1381 }
1382
1383 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
1384         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1385                     void *user), void *user)
1386 {
1387         int i;
1388
1389         if (!set || !el)
1390                 goto error;
1391
1392         for (i = 0; i < set->n; ++i) {
1393                 isl_set *lift;
1394                 EL *copy;
1395
1396                 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
1397                 lift = isl_set_lift(lift);
1398
1399                 copy = FN(EL,copy)(el);
1400                 copy = FN(EL,lift)(copy, isl_set_get_space(lift));
1401
1402                 if (fn(lift, copy, user) < 0)
1403                         goto error;
1404         }
1405
1406         isl_set_free(set);
1407         FN(EL,free)(el);
1408
1409         return 0;
1410 error:
1411         isl_set_free(set);
1412         FN(EL,free)(el);
1413         return -1;
1414 }
1415
1416 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
1417         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1418                     void *user), void *user)
1419 {
1420         int i;
1421
1422         if (!pw)
1423                 return -1;
1424
1425         for (i = 0; i < pw->n; ++i) {
1426                 isl_set *set;
1427                 EL *el;
1428
1429                 set = isl_set_copy(pw->p[i].set);
1430                 el = FN(EL,copy)(pw->p[i].FIELD);
1431                 if (!any_divs(set)) {
1432                         if (fn(set, el, user) < 0)
1433                                 return -1;
1434                         continue;
1435                 }
1436                 if (foreach_lifted_subset(set, el, fn, user) < 0)
1437                         return -1;
1438         }
1439
1440         return 0;
1441 }
1442 #endif
1443
1444 #ifndef NO_MOVE_DIMS
1445 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
1446         enum isl_dim_type dst_type, unsigned dst_pos,
1447         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1448 {
1449         int i;
1450
1451         pw = FN(PW,cow)(pw);
1452         if (!pw)
1453                 return NULL;
1454
1455         pw->dim = isl_space_move_dims(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
1456         if (!pw->dim)
1457                 goto error;
1458
1459         for (i = 0; i < pw->n; ++i) {
1460                 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
1461                                         dst_type, dst_pos, src_type, src_pos, n);
1462                 if (!pw->p[i].FIELD)
1463                         goto error;
1464         }
1465
1466         if (dst_type == isl_dim_in)
1467                 dst_type = isl_dim_set;
1468         if (src_type == isl_dim_in)
1469                 src_type = isl_dim_set;
1470
1471         for (i = 0; i < pw->n; ++i) {
1472                 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
1473                                                 dst_type, dst_pos,
1474                                                 src_type, src_pos, n);
1475                 if (!pw->p[i].set)
1476                         goto error;
1477         }
1478
1479         return pw;
1480 error:
1481         FN(PW,free)(pw);
1482         return NULL;
1483 }
1484 #endif
1485
1486 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
1487 {
1488         int i;
1489
1490         if (isl_int_is_one(v))
1491                 return pw;
1492         if (pw && DEFAULT_IS_ZERO && isl_int_is_zero(v)) {
1493                 PW *zero;
1494                 isl_space *dim = FN(PW,get_space)(pw);
1495 #ifdef HAS_TYPE
1496                 zero = FN(PW,ZERO)(dim, pw->type);
1497 #else
1498                 zero = FN(PW,ZERO)(dim);
1499 #endif
1500                 FN(PW,free)(pw);
1501                 return zero;
1502         }
1503         pw = FN(PW,cow)(pw);
1504         if (!pw)
1505                 return NULL;
1506         if (pw->n == 0)
1507                 return pw;
1508
1509 #ifdef HAS_TYPE
1510         if (isl_int_is_neg(v))
1511                 pw->type = isl_fold_type_negate(pw->type);
1512 #endif
1513         for (i = 0; i < pw->n; ++i) {
1514                 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);
1515                 if (!pw->p[i].FIELD)
1516                         goto error;
1517         }
1518
1519         return pw;
1520 error:
1521         FN(PW,free)(pw);
1522         return NULL;
1523 }
1524
1525 __isl_give PW *FN(PW,scale)(__isl_take PW *pw, isl_int v)
1526 {
1527         return FN(PW,mul_isl_int)(pw, v);
1528 }
1529
1530 static int FN(PW,qsort_set_cmp)(const void *p1, const void *p2)
1531 {
1532         isl_set *set1 = *(isl_set * const *)p1;
1533         isl_set *set2 = *(isl_set * const *)p2;
1534
1535         return isl_set_plain_cmp(set1, set2);
1536 }
1537
1538 /* We normalize in place, but if anything goes wrong we need
1539  * to return NULL, so we need to make sure we don't change the
1540  * meaning of any possible other copies of map.
1541  */
1542 __isl_give PW *FN(PW,normalize)(__isl_take PW *pw)
1543 {
1544         int i, j;
1545         isl_set *set;
1546
1547         if (!pw)
1548                 return NULL;
1549         for (i = 0; i < pw->n; ++i) {
1550                 set = isl_set_normalize(isl_set_copy(pw->p[i].set));
1551                 if (!set)
1552                         return FN(PW,free)(pw);
1553                 isl_set_free(pw->p[i].set);
1554                 pw->p[i].set = set;
1555         }
1556         qsort(pw->p, pw->n, sizeof(pw->p[0]), &FN(PW,qsort_set_cmp));
1557         for (i = pw->n - 1; i >= 1; --i) {
1558                 if (!isl_set_plain_is_equal(pw->p[i - 1].set, pw->p[i].set))
1559                         continue;
1560                 if (!FN(EL,plain_is_equal)(pw->p[i - 1].FIELD, pw->p[i].FIELD))
1561                         continue;
1562                 set = isl_set_union(isl_set_copy(pw->p[i - 1].set),
1563                                     isl_set_copy(pw->p[i].set));
1564                 if (!set)
1565                         return FN(PW,free)(pw);
1566                 isl_set_free(pw->p[i].set);
1567                 FN(EL,free)(pw->p[i].FIELD);
1568                 isl_set_free(pw->p[i - 1].set);
1569                 pw->p[i - 1].set = set;
1570                 for (j = i + 1; j < pw->n; ++j)
1571                         pw->p[j - 1] = pw->p[j];
1572                 pw->n--;
1573         }
1574
1575         return pw;
1576 }
1577
1578 /* Is pw1 obviously equal to pw2?
1579  * That is, do they have obviously identical cells and obviously identical
1580  * elements on each cell?
1581  */
1582 int FN(PW,plain_is_equal)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1583 {
1584         int i;
1585         int equal;
1586
1587         if (!pw1 || !pw2)
1588                 return -1;
1589
1590         if (pw1 == pw2)
1591                 return 1;
1592         if (!isl_space_is_equal(pw1->dim, pw2->dim))
1593                 return 0;
1594
1595         pw1 = FN(PW,copy)(pw1);
1596         pw2 = FN(PW,copy)(pw2);
1597         pw1 = FN(PW,normalize)(pw1);
1598         pw2 = FN(PW,normalize)(pw2);
1599         if (!pw1 || !pw2)
1600                 goto error;
1601
1602         equal = pw1->n == pw2->n;
1603         for (i = 0; equal && i < pw1->n; ++i) {
1604                 equal = isl_set_plain_is_equal(pw1->p[i].set, pw2->p[i].set);
1605                 if (equal < 0)
1606                         goto error;
1607                 if (!equal)
1608                         break;
1609                 equal = FN(EL,plain_is_equal)(pw1->p[i].FIELD, pw2->p[i].FIELD);
1610                 if (equal < 0)
1611                         goto error;
1612         }
1613
1614         FN(PW,free)(pw1);
1615         FN(PW,free)(pw2);
1616         return equal;
1617 error:
1618         FN(PW,free)(pw1);
1619         FN(PW,free)(pw2);
1620         return -1;
1621 }
1622
1623 #ifndef NO_PULLBACK
1624 static __isl_give PW *FN(PW,align_params_pw_multi_aff_and)(__isl_take PW *pw,
1625         __isl_take isl_multi_aff *ma,
1626         __isl_give PW *(*fn)(__isl_take PW *pw, __isl_take isl_multi_aff *ma))
1627 {
1628         isl_ctx *ctx;
1629         isl_space *ma_space;
1630
1631         ma_space = isl_multi_aff_get_space(ma);
1632         if (!pw || !ma || !ma_space)
1633                 goto error;
1634         if (isl_space_match(pw->dim, isl_dim_param, ma_space, isl_dim_param)) {
1635                 isl_space_free(ma_space);
1636                 return fn(pw, ma);
1637         }
1638         ctx = FN(PW,get_ctx)(pw);
1639         if (!isl_space_has_named_params(pw->dim) ||
1640             !isl_space_has_named_params(ma_space))
1641                 isl_die(ctx, isl_error_invalid,
1642                         "unaligned unnamed parameters", goto error);
1643         pw = FN(PW,align_params)(pw, ma_space);
1644         ma = isl_multi_aff_align_params(ma, FN(PW,get_space)(pw));
1645         return fn(pw, ma);
1646 error:
1647         isl_space_free(ma_space);
1648         FN(PW,free)(pw);
1649         isl_multi_aff_free(ma);
1650         return NULL;
1651 }
1652
1653 static __isl_give PW *FN(PW,align_params_pw_pw_multi_aff_and)(__isl_take PW *pw,
1654         __isl_take isl_pw_multi_aff *pma,
1655         __isl_give PW *(*fn)(__isl_take PW *pw,
1656                 __isl_take isl_pw_multi_aff *ma))
1657 {
1658         isl_ctx *ctx;
1659         isl_space *pma_space;
1660
1661         pma_space = isl_pw_multi_aff_get_space(pma);
1662         if (!pw || !pma || !pma_space)
1663                 goto error;
1664         if (isl_space_match(pw->dim, isl_dim_param, pma_space, isl_dim_param)) {
1665                 isl_space_free(pma_space);
1666                 return fn(pw, pma);
1667         }
1668         ctx = FN(PW,get_ctx)(pw);
1669         if (!isl_space_has_named_params(pw->dim) ||
1670             !isl_space_has_named_params(pma_space))
1671                 isl_die(ctx, isl_error_invalid,
1672                         "unaligned unnamed parameters", goto error);
1673         pw = FN(PW,align_params)(pw, pma_space);
1674         pma = isl_pw_multi_aff_align_params(pma, FN(PW,get_space)(pw));
1675         return fn(pw, pma);
1676 error:
1677         isl_space_free(pma_space);
1678         FN(PW,free)(pw);
1679         isl_pw_multi_aff_free(pma);
1680         return NULL;
1681 }
1682
1683 /* Compute the pullback of "pw" by the function represented by "ma".
1684  * In other words, plug in "ma" in "pw".
1685  */
1686 static __isl_give PW *FN(PW,pullback_multi_aff_aligned)(__isl_take PW *pw,
1687         __isl_take isl_multi_aff *ma)
1688 {
1689         int i;
1690         isl_space *space = NULL;
1691
1692         ma = isl_multi_aff_align_divs(ma);
1693         pw = FN(PW,cow)(pw);
1694         if (!pw || !ma)
1695                 goto error;
1696
1697         space = isl_space_join(isl_multi_aff_get_space(ma),
1698                                 FN(PW,get_space)(pw));
1699
1700         for (i = 0; i < pw->n; ++i) {
1701                 pw->p[i].set = isl_set_preimage_multi_aff(pw->p[i].set,
1702                                                     isl_multi_aff_copy(ma));
1703                 if (!pw->p[i].set)
1704                         goto error;
1705                 pw->p[i].FIELD = FN(EL,pullback_multi_aff)(pw->p[i].FIELD,
1706                                                     isl_multi_aff_copy(ma));
1707                 if (!pw->p[i].FIELD)
1708                         goto error;
1709         }
1710
1711         pw = FN(PW,reset_space)(pw, space);
1712         isl_multi_aff_free(ma);
1713         return pw;
1714 error:
1715         isl_space_free(space);
1716         isl_multi_aff_free(ma);
1717         FN(PW,free)(pw);
1718         return NULL;
1719 }
1720
1721 __isl_give PW *FN(PW,pullback_multi_aff)(__isl_take PW *pw,
1722         __isl_take isl_multi_aff *ma)
1723 {
1724         return FN(PW,align_params_pw_multi_aff_and)(pw, ma,
1725                                         &FN(PW,pullback_multi_aff_aligned));
1726 }
1727
1728 /* Compute the pullback of "pw" by the function represented by "pma".
1729  * In other words, plug in "pma" in "pw".
1730  */
1731 static __isl_give PW *FN(PW,pullback_pw_multi_aff_aligned)(__isl_take PW *pw,
1732         __isl_take isl_pw_multi_aff *pma)
1733 {
1734         int i;
1735         PW *res;
1736
1737         if (!pma)
1738                 goto error;
1739
1740         if (pma->n == 0) {
1741                 isl_pw_multi_aff_free(pma);
1742                 res = FN(PW,empty)(FN(PW,get_space)(pw));
1743                 FN(PW,free)(pw);
1744                 return res;
1745         }
1746
1747         res = FN(PW,pullback_multi_aff)(FN(PW,copy)(pw),
1748                                         isl_multi_aff_copy(pma->p[0].maff));
1749         res = FN(PW,intersect_domain)(res, isl_set_copy(pma->p[0].set));
1750
1751         for (i = 1; i < pma->n; ++i) {
1752                 PW *res_i;
1753
1754                 res_i = FN(PW,pullback_multi_aff)(FN(PW,copy)(pw),
1755                                         isl_multi_aff_copy(pma->p[i].maff));
1756                 res_i = FN(PW,intersect_domain)(res_i,
1757                                         isl_set_copy(pma->p[i].set));
1758                 res = FN(PW,add_disjoint)(res, res_i);
1759         }
1760
1761         isl_pw_multi_aff_free(pma);
1762         FN(PW,free)(pw);
1763         return res;
1764 error:
1765         isl_pw_multi_aff_free(pma);
1766         FN(PW,free)(pw);
1767         return NULL;
1768 }
1769
1770 __isl_give PW *FN(PW,pullback_pw_multi_aff)(__isl_take PW *pw,
1771         __isl_take isl_pw_multi_aff *pma)
1772 {
1773         return FN(PW,align_params_pw_pw_multi_aff_and)(pw, pma,
1774                                         &FN(PW,pullback_pw_multi_aff_aligned));
1775 }
1776 #endif