isl_pw_templ.c

   1 #include <isl/aff.h>
   2 #include <isl_val_private.h>
   3
   4 #define xFN(TYPE,NAME) TYPE ## _ ## NAME
   5 #define FN(TYPE,NAME) xFN(TYPE,NAME)
   6 #define xS(TYPE,NAME) struct TYPE ## _ ## NAME
   7 #define S(TYPE,NAME) xS(TYPE,NAME)
   8
   9 #ifdef HAS_TYPE
  10 __isl_give PW *FN(PW,alloc_size)(__isl_take isl_space *dim,
  11         enum isl_fold type, int n)
  12 #else
  13 __isl_give PW *FN(PW,alloc_size)(__isl_take isl_space *dim, int n)
  14 #endif
  15 {
  16         isl_ctx *ctx;
  17         struct PW *pw;
  18
  19         if (!dim)
  20                 return NULL;
  21         ctx = isl_space_get_ctx(dim);
  22         isl_assert(ctx, n >= 0, goto error);
  23         pw = isl_alloc(ctx, struct PW,
  24                         sizeof(struct PW) + (n - 1) * sizeof(S(PW,piece)));
  25         if (!pw)
  26                 goto error;
  27
  28         pw->ref = 1;
  29 #ifdef HAS_TYPE
  30         pw->type = type;
  31 #endif
  32         pw->size = n;
  33         pw->n = 0;
  34         pw->dim = dim;
  35         return pw;
  36 error:
  37         isl_space_free(dim);
  38         return NULL;
  39 }
  40
  41 #ifdef HAS_TYPE
  42 __isl_give PW *FN(PW,ZERO)(__isl_take isl_space *dim, enum isl_fold type)
  43 {
  44         return FN(PW,alloc_size)(dim, type, 0);
  45 }
  46 #else
  47 __isl_give PW *FN(PW,ZERO)(__isl_take isl_space *dim)
  48 {
  49         return FN(PW,alloc_size)(dim, 0);
  50 }
  51 #endif
  52
  53 __isl_give PW *FN(PW,add_piece)(__isl_take PW *pw,
  54         __isl_take isl_set *set, __isl_take EL *el)
  55 {
  56         isl_ctx *ctx;
  57         isl_space *el_dim = NULL;
  58
  59         if (!pw || !set || !el)
  60                 goto error;
  61
  62         if (isl_set_plain_is_empty(set) || FN(EL,EL_IS_ZERO)(el)) {
  63                 isl_set_free(set);
  64                 FN(EL,free)(el);
  65                 return pw;
  66         }
  67
  68         ctx = isl_set_get_ctx(set);
  69 #ifdef HAS_TYPE
  70         if (pw->type != el->type)
  71                 isl_die(ctx, isl_error_invalid, "fold types don't match",
  72                         goto error);
  73 #endif
  74         el_dim = FN(EL,get_space(el));
  75         isl_assert(ctx, isl_space_is_equal(pw->dim, el_dim), goto error);
  76         isl_assert(ctx, pw->n < pw->size, goto error);
  77
  78         pw->p[pw->n].set = set;
  79         pw->p[pw->n].FIELD = el;
  80         pw->n++;
  81
  82         isl_space_free(el_dim);
  83         return pw;
  84 error:
  85         isl_space_free(el_dim);
  86         FN(PW,free)(pw);
  87         isl_set_free(set);
  88         FN(EL,free)(el);
  89         return NULL;
  90 }
  91
  92 #ifdef HAS_TYPE
  93 __isl_give PW *FN(PW,alloc)(enum isl_fold type,
  94         __isl_take isl_set *set, __isl_take EL *el)
  95 #else
  96 __isl_give PW *FN(PW,alloc)(__isl_take isl_set *set, __isl_take EL *el)
  97 #endif
  98 {
  99         PW *pw;
 100
 101         if (!set || !el)
 102                 goto error;
 103
 104 #ifdef HAS_TYPE
 105         pw = FN(PW,alloc_size)(FN(EL,get_space)(el), type, 1);
 106 #else
 107         pw = FN(PW,alloc_size)(FN(EL,get_space)(el), 1);
 108 #endif
 109
 110         return FN(PW,add_piece)(pw, set, el);
 111 error:
 112         isl_set_free(set);
 113         FN(EL,free)(el);
 114         return NULL;
 115 }
 116
 117 __isl_give PW *FN(PW,dup)(__isl_keep PW *pw)
 118 {
 119         int i;
 120         PW *dup;
 121
 122         if (!pw)
 123                 return NULL;
 124
 125 #ifdef HAS_TYPE
 126         dup = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->type, pw->n);
 127 #else
 128         dup = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->n);
 129 #endif
 130         if (!dup)
 131                 return NULL;
 132
 133         for (i = 0; i < pw->n; ++i)
 134                 dup = FN(PW,add_piece)(dup, isl_set_copy(pw->p[i].set),
 135                                             FN(EL,copy)(pw->p[i].FIELD));
 136
 137         return dup;
 138 }
 139
 140 __isl_give PW *FN(PW,cow)(__isl_take PW *pw)
 141 {
 142         if (!pw)
 143                 return NULL;
 144
 145         if (pw->ref == 1)
 146                 return pw;
 147         pw->ref--;
 148         return FN(PW,dup)(pw);
 149 }
 150
 151 __isl_give PW *FN(PW,copy)(__isl_keep PW *pw)
 152 {
 153         if (!pw)
 154                 return NULL;
 155
 156         pw->ref++;
 157         return pw;
 158 }
 159
 160 void *FN(PW,free)(__isl_take PW *pw)
 161 {
 162         int i;
 163
 164         if (!pw)
 165                 return NULL;
 166         if (--pw->ref > 0)
 167                 return NULL;
 168
 169         for (i = 0; i < pw->n; ++i) {
 170                 isl_set_free(pw->p[i].set);
 171                 FN(EL,free)(pw->p[i].FIELD);
 172         }
 173         isl_space_free(pw->dim);
 174         free(pw);
 175
 176         return NULL;
 177 }
 178
 179 const char *FN(PW,get_dim_name)(__isl_keep PW *pw, enum isl_dim_type type,
 180         unsigned pos)
 181 {
 182         return pw ? isl_space_get_dim_name(pw->dim, type, pos) : NULL;
 183 }
 184
 185 int FN(PW,has_dim_id)(__isl_keep PW *pw, enum isl_dim_type type, unsigned pos)
 186 {
 187         return pw ? isl_space_has_dim_id(pw->dim, type, pos) : -1;
 188 }
 189
 190 __isl_give isl_id *FN(PW,get_dim_id)(__isl_keep PW *pw, enum isl_dim_type type,
 191         unsigned pos)
 192 {
 193         return pw ? isl_space_get_dim_id(pw->dim, type, pos) : NULL;
 194 }
 195
 196 int FN(PW,has_tuple_name)(__isl_keep PW *pw, enum isl_dim_type type)
 197 {
 198         return pw ? isl_space_has_tuple_name(pw->dim, type) : -1;
 199 }
 200
 201 const char *FN(PW,get_tuple_name)(__isl_keep PW *pw, enum isl_dim_type type)
 202 {
 203         return pw ? isl_space_get_tuple_name(pw->dim, type) : NULL;
 204 }
 205
 206 int FN(PW,has_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
 207 {
 208         return pw ? isl_space_has_tuple_id(pw->dim, type) : -1;
 209 }
 210
 211 __isl_give isl_id *FN(PW,get_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
 212 {
 213         return pw ? isl_space_get_tuple_id(pw->dim, type) : NULL;
 214 }
 215
 216 int FN(PW,IS_ZERO)(__isl_keep PW *pw)
 217 {
 218         if (!pw)
 219                 return -1;
 220
 221         return pw->n == 0;
 222 }
 223
 224 #ifndef NO_REALIGN
 225 __isl_give PW *FN(PW,realign_domain)(__isl_take PW *pw,
 226         __isl_take isl_reordering *exp)
 227 {
 228         int i;
 229
 230         pw = FN(PW,cow)(pw);
 231         if (!pw || !exp)
 232                 goto error;
 233
 234         for (i = 0; i < pw->n; ++i) {
 235                 pw->p[i].set = isl_set_realign(pw->p[i].set,
 236                                                     isl_reordering_copy(exp));
 237                 if (!pw->p[i].set)
 238                         goto error;
 239                 pw->p[i].FIELD = FN(EL,realign_domain)(pw->p[i].FIELD,
 240                                                     isl_reordering_copy(exp));
 241                 if (!pw->p[i].FIELD)
 242                         goto error;
 243         }
 244
 245         pw = FN(PW,reset_domain_space)(pw, isl_space_copy(exp->dim));
 246
 247         isl_reordering_free(exp);
 248         return pw;
 249 error:
 250         isl_reordering_free(exp);
 251         FN(PW,free)(pw);
 252         return NULL;
 253 }
 254
 255 /* Align the parameters of "pw" to those of "model".
 256  */
 257 __isl_give PW *FN(PW,align_params)(__isl_take PW *pw, __isl_take isl_space *model)
 258 {
 259         isl_ctx *ctx;
 260
 261         if (!pw || !model)
 262                 goto error;
 263
 264         ctx = isl_space_get_ctx(model);
 265         if (!isl_space_has_named_params(model))
 266                 isl_die(ctx, isl_error_invalid,
 267                         "model has unnamed parameters", goto error);
 268         if (!isl_space_has_named_params(pw->dim))
 269                 isl_die(ctx, isl_error_invalid,
 270                         "input has unnamed parameters", goto error);
 271         if (!isl_space_match(pw->dim, isl_dim_param, model, isl_dim_param)) {
 272                 isl_reordering *exp;
 273
 274                 model = isl_space_drop_dims(model, isl_dim_in,
 275                                         0, isl_space_dim(model, isl_dim_in));
 276                 model = isl_space_drop_dims(model, isl_dim_out,
 277                                         0, isl_space_dim(model, isl_dim_out));
 278                 exp = isl_parameter_alignment_reordering(pw->dim, model);
 279                 exp = isl_reordering_extend_space(exp,
 280                                         FN(PW,get_domain_space)(pw));
 281                 pw = FN(PW,realign_domain)(pw, exp);
 282         }
 283
 284         isl_space_free(model);
 285         return pw;
 286 error:
 287         isl_space_free(model);
 288         FN(PW,free)(pw);
 289         return NULL;
 290 }
 291
 292 static __isl_give PW *FN(PW,align_params_pw_pw_and)(__isl_take PW *pw1,
 293         __isl_take PW *pw2,
 294         __isl_give PW *(*fn)(__isl_take PW *pw1, __isl_take PW *pw2))
 295 {
 296         isl_ctx *ctx;
 297
 298         if (!pw1 || !pw2)
 299                 goto error;
 300         if (isl_space_match(pw1->dim, isl_dim_param, pw2->dim, isl_dim_param))
 301                 return fn(pw1, pw2);
 302         ctx = FN(PW,get_ctx)(pw1);
 303         if (!isl_space_has_named_params(pw1->dim) ||
 304             !isl_space_has_named_params(pw2->dim))
 305                 isl_die(ctx, isl_error_invalid,
 306                         "unaligned unnamed parameters", goto error);
 307         pw1 = FN(PW,align_params)(pw1, FN(PW,get_space)(pw2));
 308         pw2 = FN(PW,align_params)(pw2, FN(PW,get_space)(pw1));
 309         return fn(pw1, pw2);
 310 error:
 311         FN(PW,free)(pw1);
 312         FN(PW,free)(pw2);
 313         return NULL;
 314 }
 315
 316 static __isl_give PW *FN(PW,align_params_pw_set_and)(__isl_take PW *pw,
 317         __isl_take isl_set *set,
 318         __isl_give PW *(*fn)(__isl_take PW *pw, __isl_take isl_set *set))
 319 {
 320         isl_ctx *ctx;
 321
 322         if (!pw || !set)
 323                 goto error;
 324         if (isl_space_match(pw->dim, isl_dim_param, set->dim, isl_dim_param))
 325                 return fn(pw, set);
 326         ctx = FN(PW,get_ctx)(pw);
 327         if (!isl_space_has_named_params(pw->dim) ||
 328             !isl_space_has_named_params(set->dim))
 329                 isl_die(ctx, isl_error_invalid,
 330                         "unaligned unnamed parameters", goto error);
 331         pw = FN(PW,align_params)(pw, isl_set_get_space(set));
 332         set = isl_set_align_params(set, FN(PW,get_space)(pw));
 333         return fn(pw, set);
 334 error:
 335         FN(PW,free)(pw);
 336         isl_set_free(set);
 337         return NULL;
 338 }
 339 #endif
 340
 341 static __isl_give PW *FN(PW,union_add_aligned)(__isl_take PW *pw1,
 342         __isl_take PW *pw2)
 343 {
 344         int i, j, n;
 345         struct PW *res;
 346         isl_ctx *ctx;
 347         isl_set *set;
 348
 349         if (!pw1 || !pw2)
 350                 goto error;
 351
 352         ctx = isl_space_get_ctx(pw1->dim);
 353 #ifdef HAS_TYPE
 354         if (pw1->type != pw2->type)
 355                 isl_die(ctx, isl_error_invalid,
 356                         "fold types don't match", goto error);
 357 #endif
 358         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 359
 360         if (FN(PW,IS_ZERO)(pw1)) {
 361                 FN(PW,free)(pw1);
 362                 return pw2;
 363         }
 364
 365         if (FN(PW,IS_ZERO)(pw2)) {
 366                 FN(PW,free)(pw2);
 367                 return pw1;
 368         }
 369
 370         n = (pw1->n + 1) * (pw2->n + 1);
 371 #ifdef HAS_TYPE
 372         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), pw1->type, n);
 373 #else
 374         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), n);
 375 #endif
 376
 377         for (i = 0; i < pw1->n; ++i) {
 378                 set = isl_set_copy(pw1->p[i].set);
 379                 for (j = 0; j < pw2->n; ++j) {
 380                         struct isl_set *common;
 381                         EL *sum;
 382                         common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
 383                                                 isl_set_copy(pw2->p[j].set));
 384                         if (isl_set_plain_is_empty(common)) {
 385                                 isl_set_free(common);
 386                                 continue;
 387                         }
 388                         set = isl_set_subtract(set,
 389                                         isl_set_copy(pw2->p[j].set));
 390
 391                         sum = FN(EL,add_on_domain)(common,
 392                                                    FN(EL,copy)(pw1->p[i].FIELD),
 393                                                    FN(EL,copy)(pw2->p[j].FIELD));
 394
 395                         res = FN(PW,add_piece)(res, common, sum);
 396                 }
 397                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw1->p[i].FIELD));
 398         }
 399
 400         for (j = 0; j < pw2->n; ++j) {
 401                 set = isl_set_copy(pw2->p[j].set);
 402                 for (i = 0; i < pw1->n; ++i)
 403                         set = isl_set_subtract(set,
 404                                         isl_set_copy(pw1->p[i].set));
 405                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw2->p[j].FIELD));
 406         }
 407
 408         FN(PW,free)(pw1);
 409         FN(PW,free)(pw2);
 410
 411         return res;
 412 error:
 413         FN(PW,free)(pw1);
 414         FN(PW,free)(pw2);
 415         return NULL;
 416 }
 417
 418 /* Private version of "union_add".  For isl_pw_qpolynomial and
 419  * isl_pw_qpolynomial_fold, we prefer to simply call it "add".
 420  */
 421 static __isl_give PW *FN(PW,union_add_)(__isl_take PW *pw1, __isl_take PW *pw2)
 422 {
 423         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
 424                                                 &FN(PW,union_add_aligned));
 425 }
 426
 427 /* Make sure "pw" has room for at least "n" more pieces.
 428  *
 429  * If there is only one reference to pw, we extend it in place.
 430  * Otherwise, we create a new PW and copy the pieces.
 431  */
 432 static __isl_give PW *FN(PW,grow)(__isl_take PW *pw, int n)
 433 {
 434         int i;
 435         isl_ctx *ctx;
 436         PW *res;
 437
 438         if (!pw)
 439                 return NULL;
 440         if (pw->n + n <= pw->size)
 441                 return pw;
 442         ctx = FN(PW,get_ctx)(pw);
 443         n += pw->n;
 444         if (pw->ref == 1) {
 445                 res = isl_realloc(ctx, pw, struct PW,
 446                             sizeof(struct PW) + (n - 1) * sizeof(S(PW,piece)));
 447                 if (!res)
 448                         return FN(PW,free)(pw);
 449                 res->size = n;
 450                 return res;
 451         }
 452 #ifdef HAS_TYPE
 453         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->type, n);
 454 #else
 455         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), n);
 456 #endif
 457         if (!res)
 458                 return FN(PW,free)(pw);
 459         for (i = 0; i < pw->n; ++i)
 460                 res = FN(PW,add_piece)(res, isl_set_copy(pw->p[i].set),
 461                                             FN(EL,copy)(pw->p[i].FIELD));
 462         FN(PW,free)(pw);
 463         return res;
 464 }
 465
 466 static __isl_give PW *FN(PW,add_disjoint_aligned)(__isl_take PW *pw1,
 467         __isl_take PW *pw2)
 468 {
 469         int i;
 470         isl_ctx *ctx;
 471
 472         if (!pw1 || !pw2)
 473                 goto error;
 474
 475         if (pw1->size < pw1->n + pw2->n && pw1->n < pw2->n)
 476                 return FN(PW,add_disjoint_aligned)(pw2, pw1);
 477
 478         ctx = isl_space_get_ctx(pw1->dim);
 479 #ifdef HAS_TYPE
 480         if (pw1->type != pw2->type)
 481                 isl_die(ctx, isl_error_invalid,
 482                         "fold types don't match", goto error);
 483 #endif
 484         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 485
 486         if (FN(PW,IS_ZERO)(pw1)) {
 487                 FN(PW,free)(pw1);
 488                 return pw2;
 489         }
 490
 491         if (FN(PW,IS_ZERO)(pw2)) {
 492                 FN(PW,free)(pw2);
 493                 return pw1;
 494         }
 495
 496         pw1 = FN(PW,grow)(pw1, pw2->n);
 497         if (!pw1)
 498                 goto error;
 499
 500         for (i = 0; i < pw2->n; ++i)
 501                 pw1 = FN(PW,add_piece)(pw1,
 502                                 isl_set_copy(pw2->p[i].set),
 503                                 FN(EL,copy)(pw2->p[i].FIELD));
 504
 505         FN(PW,free)(pw2);
 506
 507         return pw1;
 508 error:
 509         FN(PW,free)(pw1);
 510         FN(PW,free)(pw2);
 511         return NULL;
 512 }
 513
 514 __isl_give PW *FN(PW,add_disjoint)(__isl_take PW *pw1, __isl_take PW *pw2)
 515 {
 516         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
 517                                                 &FN(PW,add_disjoint_aligned));
 518 }
 519
 520 /* This function is currently only used from isl_aff.c
 521  */
 522 static __isl_give PW *FN(PW,on_shared_domain_in)(__isl_take PW *pw1,
 523         __isl_take PW *pw2, __isl_take isl_space *space,
 524         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 525         __attribute__ ((unused));
 526
 527 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
 528  * The result of "fn" (and therefore also of this function) lives in "space".
 529  */
 530 static __isl_give PW *FN(PW,on_shared_domain_in)(__isl_take PW *pw1,
 531         __isl_take PW *pw2, __isl_take isl_space *space,
 532         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 533 {
 534         int i, j, n;
 535         PW *res = NULL;
 536
 537         if (!pw1 || !pw2)
 538                 goto error;
 539
 540         n = pw1->n * pw2->n;
 541 #ifdef HAS_TYPE
 542         res = FN(PW,alloc_size)(isl_space_copy(space), pw1->type, n);
 543 #else
 544         res = FN(PW,alloc_size)(isl_space_copy(space), n);
 545 #endif
 546
 547         for (i = 0; i < pw1->n; ++i) {
 548                 for (j = 0; j < pw2->n; ++j) {
 549                         isl_set *common;
 550                         EL *res_ij;
 551                         int empty;
 552
 553                         common = isl_set_intersect(
 554                                         isl_set_copy(pw1->p[i].set),
 555                                         isl_set_copy(pw2->p[j].set));
 556                         empty = isl_set_plain_is_empty(common);
 557                         if (empty < 0 || empty) {
 558                                 isl_set_free(common);
 559                                 if (empty < 0)
 560                                         goto error;
 561                                 continue;
 562                         }
 563
 564                         res_ij = fn(FN(EL,copy)(pw1->p[i].FIELD),
 565                                     FN(EL,copy)(pw2->p[j].FIELD));
 566                         res_ij = FN(EL,gist)(res_ij, isl_set_copy(common));
 567
 568                         res = FN(PW,add_piece)(res, common, res_ij);
 569                 }
 570         }
 571
 572         isl_space_free(space);
 573         FN(PW,free)(pw1);
 574         FN(PW,free)(pw2);
 575         return res;
 576 error:
 577         isl_space_free(space);
 578         FN(PW,free)(pw1);
 579         FN(PW,free)(pw2);
 580         FN(PW,free)(res);
 581         return NULL;
 582 }
 583
 584 /* This function is currently only used from isl_aff.c
 585  */
 586 static __isl_give PW *FN(PW,on_shared_domain)(__isl_take PW *pw1,
 587         __isl_take PW *pw2,
 588         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 589         __attribute__ ((unused));
 590
 591 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
 592  * The result of "fn" is assumed to live in the same space as "pw1" and "pw2".
 593  */
 594 static __isl_give PW *FN(PW,on_shared_domain)(__isl_take PW *pw1,
 595         __isl_take PW *pw2,
 596         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 597 {
 598         isl_space *space;
 599
 600         if (!pw1 || !pw2)
 601                 goto error;
 602
 603         space = isl_space_copy(pw1->dim);
 604         return FN(PW,on_shared_domain_in)(pw1, pw2, space, fn);
 605 error:
 606         FN(PW,free)(pw1);
 607         FN(PW,free)(pw2);
 608         return NULL;
 609 }
 610
 611 #ifndef NO_NEG
 612 __isl_give PW *FN(PW,neg)(__isl_take PW *pw)
 613 {
 614         int i;
 615
 616         if (!pw)
 617                 return NULL;
 618
 619         if (FN(PW,IS_ZERO)(pw))
 620                 return pw;
 621
 622         pw = FN(PW,cow)(pw);
 623         if (!pw)
 624                 return NULL;
 625
 626         for (i = 0; i < pw->n; ++i) {
 627                 pw->p[i].FIELD = FN(EL,neg)(pw->p[i].FIELD);
 628                 if (!pw->p[i].FIELD)
 629                         return FN(PW,free)(pw);
 630         }
 631
 632         return pw;
 633 }
 634
 635 __isl_give PW *FN(PW,sub)(__isl_take PW *pw1, __isl_take PW *pw2)
 636 {
 637         return FN(PW,add)(pw1, FN(PW,neg)(pw2));
 638 }
 639 #endif
 640
 641 #ifndef NO_EVAL
 642 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
 643         __isl_take isl_point *pnt)
 644 {
 645         int i;
 646         int found = 0;
 647         isl_ctx *ctx;
 648         isl_space *pnt_dim = NULL;
 649         isl_qpolynomial *qp;
 650
 651         if (!pw || !pnt)
 652                 goto error;
 653         ctx = isl_point_get_ctx(pnt);
 654         pnt_dim = isl_point_get_space(pnt);
 655         isl_assert(ctx, isl_space_is_domain_internal(pnt_dim, pw->dim),
 656                     goto error);
 657
 658         for (i = 0; i < pw->n; ++i) {
 659                 found = isl_set_contains_point(pw->p[i].set, pnt);
 660                 if (found < 0)
 661                         goto error;
 662                 if (found)
 663                         break;
 664         }
 665         if (found)
 666                 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
 667                                             isl_point_copy(pnt));
 668         else
 669                 qp = isl_qpolynomial_zero_on_domain(FN(PW,get_domain_space)(pw));
 670         FN(PW,free)(pw);
 671         isl_space_free(pnt_dim);
 672         isl_point_free(pnt);
 673         return qp;
 674 error:
 675         FN(PW,free)(pw);
 676         isl_space_free(pnt_dim);
 677         isl_point_free(pnt);
 678         return NULL;
 679 }
 680 #endif
 681
 682 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
 683 {
 684         int i;
 685         isl_set *dom;
 686
 687         if (!pw)
 688                 return NULL;
 689
 690         dom = isl_set_empty(FN(PW,get_domain_space)(pw));
 691         for (i = 0; i < pw->n; ++i)
 692                 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
 693
 694         FN(PW,free)(pw);
 695
 696         return dom;
 697 }
 698
 699 /* Exploit the equalities in the domain of piece "i" of "pw"
 700  * to simplify the associated function.
 701  * If the domain of piece "i" is empty, then remove it entirely,
 702  * replacing it with the final piece.
 703  */
 704 static int FN(PW,exploit_equalities_and_remove_if_empty)(__isl_keep PW *pw,
 705         int i)
 706 {
 707         isl_basic_set *aff;
 708         int empty = isl_set_plain_is_empty(pw->p[i].set);
 709
 710         if (empty < 0)
 711                 return -1;
 712         if (empty) {
 713                 isl_set_free(pw->p[i].set);
 714                 FN(EL,free)(pw->p[i].FIELD);
 715                 if (i != pw->n - 1)
 716                         pw->p[i] = pw->p[pw->n - 1];
 717                 pw->n--;
 718
 719                 return 0;
 720         }
 721
 722         aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
 723         pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD, aff);
 724         if (!pw->p[i].FIELD)
 725                 return -1;
 726
 727         return 0;
 728 }
 729
 730 /* Restrict the domain of "pw" by combining each cell
 731  * with "set" through a call to "fn", where "fn" may be
 732  * isl_set_intersect or isl_set_intersect_params.
 733  */
 734 static __isl_give PW *FN(PW,intersect_aligned)(__isl_take PW *pw,
 735         __isl_take isl_set *set,
 736         __isl_give isl_set *(*fn)(__isl_take isl_set *set1,
 737                                     __isl_take isl_set *set2))
 738 {
 739         int i;
 740
 741         if (!pw || !set)
 742                 goto error;
 743
 744         if (pw->n == 0) {
 745                 isl_set_free(set);
 746                 return pw;
 747         }
 748
 749         pw = FN(PW,cow)(pw);
 750         if (!pw)
 751                 goto error;
 752
 753         for (i = pw->n - 1; i >= 0; --i) {
 754                 pw->p[i].set = fn(pw->p[i].set, isl_set_copy(set));
 755                 if (FN(PW,exploit_equalities_and_remove_if_empty)(pw, i) < 0)
 756                         goto error;
 757         }
 758
 759         isl_set_free(set);
 760         return pw;
 761 error:
 762         isl_set_free(set);
 763         FN(PW,free)(pw);
 764         return NULL;
 765 }
 766
 767 static __isl_give PW *FN(PW,intersect_domain_aligned)(__isl_take PW *pw,
 768         __isl_take isl_set *set)
 769 {
 770         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect);
 771 }
 772
 773 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw,
 774         __isl_take isl_set *context)
 775 {
 776         return FN(PW,align_params_pw_set_and)(pw, context,
 777                                         &FN(PW,intersect_domain_aligned));
 778 }
 779
 780 static __isl_give PW *FN(PW,intersect_params_aligned)(__isl_take PW *pw,
 781         __isl_take isl_set *set)
 782 {
 783         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect_params);
 784 }
 785
 786 /* Intersect the domain of "pw" with the parameter domain "context".
 787  */
 788 __isl_give PW *FN(PW,intersect_params)(__isl_take PW *pw,
 789         __isl_take isl_set *context)
 790 {
 791         return FN(PW,align_params_pw_set_and)(pw, context,
 792                                         &FN(PW,intersect_params_aligned));
 793 }
 794
 795 static __isl_give PW *FN(PW,gist_aligned)(__isl_take PW *pw,
 796         __isl_take isl_set *context,
 797         __isl_give EL *(*fn_el)(__isl_take EL *el,
 798                                     __isl_take isl_set *set),
 799         __isl_give isl_set *(*fn_dom)(__isl_take isl_set *set,
 800                                     __isl_take isl_basic_set *bset))
 801 {
 802         int i;
 803         isl_basic_set *hull = NULL;
 804
 805         if (!pw || !context)
 806                 goto error;
 807
 808         if (pw->n == 0) {
 809                 isl_set_free(context);
 810                 return pw;
 811         }
 812
 813         if (!isl_space_match(pw->dim, isl_dim_param,
 814                                 context->dim, isl_dim_param)) {
 815                 pw = FN(PW,align_params)(pw, isl_set_get_space(context));
 816                 context = isl_set_align_params(context, FN(PW,get_space)(pw));
 817         }
 818
 819         context = isl_set_compute_divs(context);
 820         hull = isl_set_simple_hull(isl_set_copy(context));
 821
 822         pw = FN(PW,cow)(pw);
 823         if (!pw)
 824                 goto error;
 825
 826         for (i = pw->n - 1; i >= 0; --i) {
 827                 isl_set *set_i;
 828                 int empty;
 829
 830                 set_i = isl_set_intersect(isl_set_copy(pw->p[i].set),
 831                                                  isl_set_copy(context));
 832                 empty = isl_set_plain_is_empty(set_i);
 833                 pw->p[i].FIELD = fn_el(pw->p[i].FIELD, set_i);
 834                 pw->p[i].set = fn_dom(pw->p[i].set, isl_basic_set_copy(hull));
 835                 if (!pw->p[i].FIELD || !pw->p[i].set)
 836                         goto error;
 837                 if (empty) {
 838                         isl_set_free(pw->p[i].set);
 839                         FN(EL,free)(pw->p[i].FIELD);
 840                         if (i != pw->n - 1)
 841                                 pw->p[i] = pw->p[pw->n - 1];
 842                         pw->n--;
 843                 }
 844         }
 845
 846         isl_basic_set_free(hull);
 847         isl_set_free(context);
 848
 849         return pw;
 850 error:
 851         FN(PW,free)(pw);
 852         isl_basic_set_free(hull);
 853         isl_set_free(context);
 854         return NULL;
 855 }
 856
 857 static __isl_give PW *FN(PW,gist_domain_aligned)(__isl_take PW *pw,
 858         __isl_take isl_set *set)
 859 {
 860         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist),
 861                                         &isl_set_gist_basic_set);
 862 }
 863
 864 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
 865 {
 866         return FN(PW,align_params_pw_set_and)(pw, context,
 867                                                 &FN(PW,gist_domain_aligned));
 868 }
 869
 870 static __isl_give PW *FN(PW,gist_params_aligned)(__isl_take PW *pw,
 871         __isl_take isl_set *set)
 872 {
 873         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist_params),
 874                                         &isl_set_gist_params_basic_set);
 875 }
 876
 877 __isl_give PW *FN(PW,gist_params)(__isl_take PW *pw,
 878         __isl_take isl_set *context)
 879 {
 880         return FN(PW,align_params_pw_set_and)(pw, context,
 881                                                 &FN(PW,gist_params_aligned));
 882 }
 883
 884 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
 885 {
 886         int i, j;
 887
 888         if (!pw)
 889                 return NULL;
 890         if (pw->n == 0)
 891                 return pw;
 892
 893         for (i = pw->n - 1; i >= 0; --i) {
 894                 for (j = i - 1; j >= 0; --j) {
 895                         if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
 896                                                         pw->p[j].FIELD))
 897                                 continue;
 898                         pw->p[j].set = isl_set_union(pw->p[j].set,
 899                                                         pw->p[i].set);
 900                         FN(EL,free)(pw->p[i].FIELD);
 901                         if (i != pw->n - 1)
 902                                 pw->p[i] = pw->p[pw->n - 1];
 903                         pw->n--;
 904                         break;
 905                 }
 906                 if (j >= 0)
 907                         continue;
 908                 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
 909                 if (!pw->p[i].set)
 910                         goto error;
 911         }
 912
 913         return pw;
 914 error:
 915         FN(PW,free)(pw);
 916         return NULL;
 917 }
 918
 919 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
 920 {
 921         return pw ? isl_space_get_ctx(pw->dim) : NULL;
 922 }
 923
 924 #ifndef NO_INVOLVES_DIMS
 925 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
 926         unsigned first, unsigned n)
 927 {
 928         int i;
 929         enum isl_dim_type set_type;
 930
 931         if (!pw)
 932                 return -1;
 933         if (pw->n == 0 || n == 0)
 934                 return 0;
 935
 936         set_type = type == isl_dim_in ? isl_dim_set : type;
 937
 938         for (i = 0; i < pw->n; ++i) {
 939                 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
 940                                                         type, first, n);
 941                 if (involves < 0 || involves)
 942                         return involves;
 943                 involves = isl_set_involves_dims(pw->p[i].set,
 944                                                         set_type, first, n);
 945                 if (involves < 0 || involves)
 946                         return involves;
 947         }
 948         return 0;
 949 }
 950 #endif
 951
 952 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
 953         enum isl_dim_type type, unsigned pos, const char *s)
 954 {
 955         int i;
 956         enum isl_dim_type set_type;
 957
 958         pw = FN(PW,cow)(pw);
 959         if (!pw)
 960                 return NULL;
 961
 962         set_type = type == isl_dim_in ? isl_dim_set : type;
 963
 964         pw->dim = isl_space_set_dim_name(pw->dim, type, pos, s);
 965         if (!pw->dim)
 966                 goto error;
 967
 968         for (i = 0; i < pw->n; ++i) {
 969                 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set,
 970                                                         set_type, pos, s);
 971                 if (!pw->p[i].set)
 972                         goto error;
 973                 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
 974                 if (!pw->p[i].FIELD)
 975                         goto error;
 976         }
 977
 978         return pw;
 979 error:
 980         FN(PW,free)(pw);
 981         return NULL;
 982 }
 983
 984 #ifndef NO_DROP_DIMS
 985 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
 986         enum isl_dim_type type, unsigned first, unsigned n)
 987 {
 988         int i;
 989         enum isl_dim_type set_type;
 990
 991         if (!pw)
 992                 return NULL;
 993         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 994                 return pw;
 995
 996         set_type = type == isl_dim_in ? isl_dim_set : type;
 997
 998         pw = FN(PW,cow)(pw);
 999         if (!pw)
1000                 return NULL;
1001         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
1002         if (!pw->dim)
1003                 goto error;
1004         for (i = 0; i < pw->n; ++i) {
1005                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
1006                 if (!pw->p[i].FIELD)
1007                         goto error;
1008                 if (type == isl_dim_out)
1009                         continue;
1010                 pw->p[i].set = isl_set_drop(pw->p[i].set, set_type, first, n);
1011                 if (!pw->p[i].set)
1012                         goto error;
1013         }
1014
1015         return pw;
1016 error:
1017         FN(PW,free)(pw);
1018         return NULL;
1019 }
1020
1021 /* This function is very similar to drop_dims.
1022  * The only difference is that the cells may still involve
1023  * the specified dimensions.  They are removed using
1024  * isl_set_project_out instead of isl_set_drop.
1025  */
1026 __isl_give PW *FN(PW,project_out)(__isl_take PW *pw,
1027         enum isl_dim_type type, unsigned first, unsigned n)
1028 {
1029         int i;
1030         enum isl_dim_type set_type;
1031
1032         if (!pw)
1033                 return NULL;
1034         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
1035                 return pw;
1036
1037         set_type = type == isl_dim_in ? isl_dim_set : type;
1038
1039         pw = FN(PW,cow)(pw);
1040         if (!pw)
1041                 return NULL;
1042         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
1043         if (!pw->dim)
1044                 goto error;
1045         for (i = 0; i < pw->n; ++i) {
1046                 pw->p[i].set = isl_set_project_out(pw->p[i].set,
1047                                                         set_type, first, n);
1048                 if (!pw->p[i].set)
1049                         goto error;
1050                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
1051                 if (!pw->p[i].FIELD)
1052                         goto error;
1053         }
1054
1055         return pw;
1056 error:
1057         FN(PW,free)(pw);
1058         return NULL;
1059 }
1060
1061 /* Project the domain of pw onto its parameter space.
1062  */
1063 __isl_give PW *FN(PW,project_domain_on_params)(__isl_take PW *pw)
1064 {
1065         isl_space *space;
1066         unsigned n;
1067
1068         n = FN(PW,dim)(pw, isl_dim_in);
1069         pw = FN(PW,project_out)(pw, isl_dim_in, 0, n);
1070         space = FN(PW,get_domain_space)(pw);
1071         space = isl_space_params(space);
1072         pw = FN(PW,reset_domain_space)(pw, space);
1073         return pw;
1074 }
1075 #endif
1076
1077 #ifndef NO_INSERT_DIMS
1078 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
1079         unsigned first, unsigned n)
1080 {
1081         int i;
1082         enum isl_dim_type set_type;
1083
1084         if (!pw)
1085                 return NULL;
1086         if (n == 0 && !isl_space_is_named_or_nested(pw->dim, type))
1087                 return pw;
1088
1089         set_type = type == isl_dim_in ? isl_dim_set : type;
1090
1091         pw = FN(PW,cow)(pw);
1092         if (!pw)
1093                 return NULL;
1094
1095         pw->dim = isl_space_insert_dims(pw->dim, type, first, n);
1096         if (!pw->dim)
1097                 goto error;
1098
1099         for (i = 0; i < pw->n; ++i) {
1100                 pw->p[i].set = isl_set_insert_dims(pw->p[i].set,
1101                                                             set_type, first, n);
1102                 if (!pw->p[i].set)
1103                         goto error;
1104                 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
1105                                                                 type, first, n);
1106                 if (!pw->p[i].FIELD)
1107                         goto error;
1108         }
1109
1110         return pw;
1111 error:
1112         FN(PW,free)(pw);
1113         return NULL;
1114 }
1115 #endif
1116
1117 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
1118         enum isl_dim_type type, unsigned pos, isl_int v)
1119 {
1120         int i;
1121
1122         if (!pw)
1123                 return NULL;
1124
1125         if (type == isl_dim_in)
1126                 type = isl_dim_set;
1127
1128         pw = FN(PW,cow)(pw);
1129         if (!pw)
1130                 return NULL;
1131         for (i = 0; i < pw->n; ++i) {
1132                 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
1133                 if (FN(PW,exploit_equalities_and_remove_if_empty)(pw, i) < 0)
1134                         return FN(PW,free)(pw);
1135         }
1136
1137         return pw;
1138 }
1139
1140 /* Fix the value of the variable at position "pos" of type "type" of "pw"
1141  * to be equal to "v".
1142  */
1143 __isl_give PW *FN(PW,fix_val)(__isl_take PW *pw,
1144         enum isl_dim_type type, unsigned pos, __isl_take isl_val *v)
1145 {
1146         if (!v)
1147                 return FN(PW,free)(pw);
1148         if (!isl_val_is_int(v))
1149                 isl_die(FN(PW,get_ctx)(pw), isl_error_invalid,
1150                         "expecting integer value", goto error);
1151
1152         pw = FN(PW,fix_dim)(pw, type, pos, v->n);
1153         isl_val_free(v);
1154
1155         return pw;
1156 error:
1157         isl_val_free(v);
1158         return FN(PW,free)(pw);
1159 }
1160
1161 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
1162 {
1163         return pw ? isl_space_dim(pw->dim, type) : 0;
1164 }
1165
1166 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
1167         enum isl_dim_type type, unsigned first, unsigned n)
1168 {
1169         int i;
1170
1171         if (!pw)
1172                 return NULL;
1173         if (n == 0)
1174                 return pw;
1175
1176         if (type == isl_dim_in)
1177                 type = isl_dim_set;
1178
1179         pw = FN(PW,cow)(pw);
1180         if (!pw)
1181                 return NULL;
1182         if (!pw->dim)
1183                 goto error;
1184         for (i = 0; i < pw->n; ++i) {
1185                 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
1186                 if (!pw->p[i].set)
1187                         goto error;
1188         }
1189
1190         return pw;
1191 error:
1192         FN(PW,free)(pw);
1193         return NULL;
1194 }
1195
1196 #ifndef NO_OPT
1197 /* Compute the maximal value attained by the piecewise quasipolynomial
1198  * on its domain or zero if the domain is empty.
1199  * In the worst case, the domain is scanned completely,
1200  * so the domain is assumed to be bounded.
1201  */
1202 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
1203 {
1204         int i;
1205         isl_qpolynomial *opt;
1206
1207         if (!pw)
1208                 return NULL;
1209
1210         if (pw->n == 0) {
1211                 isl_space *dim = isl_space_copy(pw->dim);
1212                 FN(PW,free)(pw);
1213                 return isl_qpolynomial_zero_on_domain(isl_space_domain(dim));
1214         }
1215
1216         opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
1217                                         isl_set_copy(pw->p[0].set), max);
1218         for (i = 1; i < pw->n; ++i) {
1219                 isl_qpolynomial *opt_i;
1220                 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
1221                                                 isl_set_copy(pw->p[i].set), max);
1222                 if (max)
1223                         opt = isl_qpolynomial_max_cst(opt, opt_i);
1224                 else
1225                         opt = isl_qpolynomial_min_cst(opt, opt_i);
1226         }
1227
1228         FN(PW,free)(pw);
1229         return opt;
1230 }
1231
1232 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
1233 {
1234         return FN(PW,opt)(pw, 1);
1235 }
1236
1237 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
1238 {
1239         return FN(PW,opt)(pw, 0);
1240 }
1241 #endif
1242
1243 __isl_give isl_space *FN(PW,get_space)(__isl_keep PW *pw)
1244 {
1245         return pw ? isl_space_copy(pw->dim) : NULL;
1246 }
1247
1248 __isl_give isl_space *FN(PW,get_domain_space)(__isl_keep PW *pw)
1249 {
1250         return pw ? isl_space_domain(isl_space_copy(pw->dim)) : NULL;
1251 }
1252
1253 #ifndef NO_RESET_DIM
1254 /* Reset the space of "pw".  Since we don't know if the elements
1255  * represent the spaces themselves or their domains, we pass along
1256  * both when we call their reset_space_and_domain.
1257  */
1258 static __isl_give PW *FN(PW,reset_space_and_domain)(__isl_take PW *pw,
1259         __isl_take isl_space *space, __isl_take isl_space *domain)
1260 {
1261         int i;
1262
1263         pw = FN(PW,cow)(pw);
1264         if (!pw || !space || !domain)
1265                 goto error;
1266
1267         for (i = 0; i < pw->n; ++i) {
1268                 pw->p[i].set = isl_set_reset_space(pw->p[i].set,
1269                                                  isl_space_copy(domain));
1270                 if (!pw->p[i].set)
1271                         goto error;
1272                 pw->p[i].FIELD = FN(EL,reset_space_and_domain)(pw->p[i].FIELD,
1273                               isl_space_copy(space), isl_space_copy(domain));
1274                 if (!pw->p[i].FIELD)
1275                         goto error;
1276         }
1277
1278         isl_space_free(domain);
1279
1280         isl_space_free(pw->dim);
1281         pw->dim = space;
1282
1283         return pw;
1284 error:
1285         isl_space_free(domain);
1286         isl_space_free(space);
1287         FN(PW,free)(pw);
1288         return NULL;
1289 }
1290
1291 __isl_give PW *FN(PW,reset_domain_space)(__isl_take PW *pw,
1292         __isl_take isl_space *domain)
1293 {
1294         isl_space *space;
1295
1296         space = isl_space_extend_domain_with_range(isl_space_copy(domain),
1297                                                    FN(PW,get_space)(pw));
1298         return FN(PW,reset_space_and_domain)(pw, space, domain);
1299 }
1300
1301 __isl_give PW *FN(PW,reset_space)(__isl_take PW *pw, __isl_take isl_space *dim)
1302 {
1303         isl_space *domain;
1304
1305         domain = isl_space_domain(isl_space_copy(dim));
1306         return FN(PW,reset_space_and_domain)(pw, dim, domain);
1307 }
1308
1309 __isl_give PW *FN(PW,set_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type,
1310         __isl_take isl_id *id)
1311 {
1312         isl_space *space;
1313
1314         pw = FN(PW,cow)(pw);
1315         if (!pw)
1316                 return isl_id_free(id);
1317
1318         space = FN(PW,get_space)(pw);
1319         space = isl_space_set_tuple_id(space, type, id);
1320
1321         return FN(PW,reset_space)(pw, space);
1322 }
1323
1324 __isl_give PW *FN(PW,set_dim_id)(__isl_take PW *pw,
1325         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
1326 {
1327         pw = FN(PW,cow)(pw);
1328         if (!pw)
1329                 return isl_id_free(id);
1330         pw->dim = isl_space_set_dim_id(pw->dim, type, pos, id);
1331         return FN(PW,reset_space)(pw, isl_space_copy(pw->dim));
1332 }
1333 #endif
1334
1335 int FN(PW,has_equal_space)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1336 {
1337         if (!pw1 || !pw2)
1338                 return -1;
1339
1340         return isl_space_is_equal(pw1->dim, pw2->dim);
1341 }
1342
1343 #ifndef NO_MORPH
1344 __isl_give PW *FN(PW,morph_domain)(__isl_take PW *pw,
1345         __isl_take isl_morph *morph)
1346 {
1347         int i;
1348         isl_ctx *ctx;
1349
1350         if (!pw || !morph)
1351                 goto error;
1352
1353         ctx = isl_space_get_ctx(pw->dim);
1354         isl_assert(ctx, isl_space_is_domain_internal(morph->dom->dim, pw->dim),
1355                 goto error);
1356
1357         pw = FN(PW,cow)(pw);
1358         if (!pw)
1359                 goto error;
1360         pw->dim = isl_space_extend_domain_with_range(
1361                         isl_space_copy(morph->ran->dim), pw->dim);
1362         if (!pw->dim)
1363                 goto error;
1364
1365         for (i = 0; i < pw->n; ++i) {
1366                 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
1367                 if (!pw->p[i].set)
1368                         goto error;
1369                 pw->p[i].FIELD = FN(EL,morph_domain)(pw->p[i].FIELD,
1370                                                 isl_morph_copy(morph));
1371                 if (!pw->p[i].FIELD)
1372                         goto error;
1373         }
1374
1375         isl_morph_free(morph);
1376
1377         return pw;
1378 error:
1379         FN(PW,free)(pw);
1380         isl_morph_free(morph);
1381         return NULL;
1382 }
1383 #endif
1384
1385 int FN(PW,n_piece)(__isl_keep PW *pw)
1386 {
1387         return pw ? pw->n : 0;
1388 }
1389
1390 int FN(PW,foreach_piece)(__isl_keep PW *pw,
1391         int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
1392         void *user)
1393 {
1394         int i;
1395
1396         if (!pw)
1397                 return -1;
1398
1399         for (i = 0; i < pw->n; ++i)
1400                 if (fn(isl_set_copy(pw->p[i].set),
1401                                 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
1402                         return -1;
1403
1404         return 0;
1405 }
1406
1407 #ifndef NO_LIFT
1408 static int any_divs(__isl_keep isl_set *set)
1409 {
1410         int i;
1411
1412         if (!set)
1413                 return -1;
1414
1415         for (i = 0; i < set->n; ++i)
1416                 if (set->p[i]->n_div > 0)
1417                         return 1;
1418
1419         return 0;
1420 }
1421
1422 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
1423         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1424                     void *user), void *user)
1425 {
1426         int i;
1427
1428         if (!set || !el)
1429                 goto error;
1430
1431         for (i = 0; i < set->n; ++i) {
1432                 isl_set *lift;
1433                 EL *copy;
1434
1435                 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
1436                 lift = isl_set_lift(lift);
1437
1438                 copy = FN(EL,copy)(el);
1439                 copy = FN(EL,lift)(copy, isl_set_get_space(lift));
1440
1441                 if (fn(lift, copy, user) < 0)
1442                         goto error;
1443         }
1444
1445         isl_set_free(set);
1446         FN(EL,free)(el);
1447
1448         return 0;
1449 error:
1450         isl_set_free(set);
1451         FN(EL,free)(el);
1452         return -1;
1453 }
1454
1455 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
1456         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1457                     void *user), void *user)
1458 {
1459         int i;
1460
1461         if (!pw)
1462                 return -1;
1463
1464         for (i = 0; i < pw->n; ++i) {
1465                 isl_set *set;
1466                 EL *el;
1467
1468                 set = isl_set_copy(pw->p[i].set);
1469                 el = FN(EL,copy)(pw->p[i].FIELD);
1470                 if (!any_divs(set)) {
1471                         if (fn(set, el, user) < 0)
1472                                 return -1;
1473                         continue;
1474                 }
1475                 if (foreach_lifted_subset(set, el, fn, user) < 0)
1476                         return -1;
1477         }
1478
1479         return 0;
1480 }
1481 #endif
1482
1483 #ifndef NO_MOVE_DIMS
1484 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
1485         enum isl_dim_type dst_type, unsigned dst_pos,
1486         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1487 {
1488         int i;
1489
1490         pw = FN(PW,cow)(pw);
1491         if (!pw)
1492                 return NULL;
1493
1494         pw->dim = isl_space_move_dims(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
1495         if (!pw->dim)
1496                 goto error;
1497
1498         for (i = 0; i < pw->n; ++i) {
1499                 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
1500                                         dst_type, dst_pos, src_type, src_pos, n);
1501                 if (!pw->p[i].FIELD)
1502                         goto error;
1503         }
1504
1505         if (dst_type == isl_dim_in)
1506                 dst_type = isl_dim_set;
1507         if (src_type == isl_dim_in)
1508                 src_type = isl_dim_set;
1509
1510         for (i = 0; i < pw->n; ++i) {
1511                 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
1512                                                 dst_type, dst_pos,
1513                                                 src_type, src_pos, n);
1514                 if (!pw->p[i].set)
1515                         goto error;
1516         }
1517
1518         return pw;
1519 error:
1520         FN(PW,free)(pw);
1521         return NULL;
1522 }
1523 #endif
1524
1525 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
1526 {
1527         int i;
1528
1529         if (isl_int_is_one(v))
1530                 return pw;
1531         if (pw && DEFAULT_IS_ZERO && isl_int_is_zero(v)) {
1532                 PW *zero;
1533                 isl_space *dim = FN(PW,get_space)(pw);
1534 #ifdef HAS_TYPE
1535                 zero = FN(PW,ZERO)(dim, pw->type);
1536 #else
1537                 zero = FN(PW,ZERO)(dim);
1538 #endif
1539                 FN(PW,free)(pw);
1540                 return zero;
1541         }
1542         pw = FN(PW,cow)(pw);
1543         if (!pw)
1544                 return NULL;
1545         if (pw->n == 0)
1546                 return pw;
1547
1548 #ifdef HAS_TYPE
1549         if (isl_int_is_neg(v))
1550                 pw->type = isl_fold_type_negate(pw->type);
1551 #endif
1552         for (i = 0; i < pw->n; ++i) {
1553                 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);
1554                 if (!pw->p[i].FIELD)
1555                         goto error;
1556         }
1557
1558         return pw;
1559 error:
1560         FN(PW,free)(pw);
1561         return NULL;
1562 }
1563
1564 /* Multiply the pieces of "pw" by "v" and return the result.
1565  */
1566 __isl_give PW *FN(PW,scale_val)(__isl_take PW *pw, __isl_take isl_val *v)
1567 {
1568         int i;
1569
1570         if (!pw || !v)
1571                 goto error;
1572
1573         if (isl_val_is_one(v)) {
1574                 isl_val_free(v);
1575                 return pw;
1576         }
1577         if (pw && DEFAULT_IS_ZERO && isl_val_is_zero(v)) {
1578                 PW *zero;
1579                 isl_space *space = FN(PW,get_space)(pw);
1580 #ifdef HAS_TYPE
1581                 zero = FN(PW,ZERO)(space, pw->type);
1582 #else
1583                 zero = FN(PW,ZERO)(space);
1584 #endif
1585                 FN(PW,free)(pw);
1586                 isl_val_free(v);
1587                 return zero;
1588         }
1589         if (pw->n == 0) {
1590                 isl_val_free(v);
1591                 return pw;
1592         }
1593         pw = FN(PW,cow)(pw);
1594         if (!pw)
1595                 goto error;
1596
1597 #ifdef HAS_TYPE
1598         if (isl_val_is_neg(v))
1599                 pw->type = isl_fold_type_negate(pw->type);
1600 #endif
1601         for (i = 0; i < pw->n; ++i) {
1602                 pw->p[i].FIELD = FN(EL,scale_val)(pw->p[i].FIELD,
1603                                                     isl_val_copy(v));
1604                 if (!pw->p[i].FIELD)
1605                         goto error;
1606         }
1607
1608         isl_val_free(v);
1609         return pw;
1610 error:
1611         isl_val_free(v);
1612         FN(PW,free)(pw);
1613         return NULL;
1614 }
1615
1616 __isl_give PW *FN(PW,scale)(__isl_take PW *pw, isl_int v)
1617 {
1618         return FN(PW,mul_isl_int)(pw, v);
1619 }
1620
1621 static int FN(PW,qsort_set_cmp)(const void *p1, const void *p2)
1622 {
1623         isl_set *set1 = *(isl_set * const *)p1;
1624         isl_set *set2 = *(isl_set * const *)p2;
1625
1626         return isl_set_plain_cmp(set1, set2);
1627 }
1628
1629 /* We normalize in place, but if anything goes wrong we need
1630  * to return NULL, so we need to make sure we don't change the
1631  * meaning of any possible other copies of map.
1632  */
1633 __isl_give PW *FN(PW,normalize)(__isl_take PW *pw)
1634 {
1635         int i, j;
1636         isl_set *set;
1637
1638         if (!pw)
1639                 return NULL;
1640         for (i = 0; i < pw->n; ++i) {
1641                 set = isl_set_normalize(isl_set_copy(pw->p[i].set));
1642                 if (!set)
1643                         return FN(PW,free)(pw);
1644                 isl_set_free(pw->p[i].set);
1645                 pw->p[i].set = set;
1646         }
1647         qsort(pw->p, pw->n, sizeof(pw->p[0]), &FN(PW,qsort_set_cmp));
1648         for (i = pw->n - 1; i >= 1; --i) {
1649                 if (!isl_set_plain_is_equal(pw->p[i - 1].set, pw->p[i].set))
1650                         continue;
1651                 if (!FN(EL,plain_is_equal)(pw->p[i - 1].FIELD, pw->p[i].FIELD))
1652                         continue;
1653                 set = isl_set_union(isl_set_copy(pw->p[i - 1].set),
1654                                     isl_set_copy(pw->p[i].set));
1655                 if (!set)
1656                         return FN(PW,free)(pw);
1657                 isl_set_free(pw->p[i].set);
1658                 FN(EL,free)(pw->p[i].FIELD);
1659                 isl_set_free(pw->p[i - 1].set);
1660                 pw->p[i - 1].set = set;
1661                 for (j = i + 1; j < pw->n; ++j)
1662                         pw->p[j - 1] = pw->p[j];
1663                 pw->n--;
1664         }
1665
1666         return pw;
1667 }
1668
1669 /* Is pw1 obviously equal to pw2?
1670  * That is, do they have obviously identical cells and obviously identical
1671  * elements on each cell?
1672  */
1673 int FN(PW,plain_is_equal)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1674 {
1675         int i;
1676         int equal;
1677
1678         if (!pw1 || !pw2)
1679                 return -1;
1680
1681         if (pw1 == pw2)
1682                 return 1;
1683         if (!isl_space_is_equal(pw1->dim, pw2->dim))
1684                 return 0;
1685
1686         pw1 = FN(PW,copy)(pw1);
1687         pw2 = FN(PW,copy)(pw2);
1688         pw1 = FN(PW,normalize)(pw1);
1689         pw2 = FN(PW,normalize)(pw2);
1690         if (!pw1 || !pw2)
1691                 goto error;
1692
1693         equal = pw1->n == pw2->n;
1694         for (i = 0; equal && i < pw1->n; ++i) {
1695                 equal = isl_set_plain_is_equal(pw1->p[i].set, pw2->p[i].set);
1696                 if (equal < 0)
1697                         goto error;
1698                 if (!equal)
1699                         break;
1700                 equal = FN(EL,plain_is_equal)(pw1->p[i].FIELD, pw2->p[i].FIELD);
1701                 if (equal < 0)
1702                         goto error;
1703         }
1704
1705         FN(PW,free)(pw1);
1706         FN(PW,free)(pw2);
1707         return equal;
1708 error:
1709         FN(PW,free)(pw1);
1710         FN(PW,free)(pw2);
1711         return -1;
1712 }
1713
1714 #ifndef NO_PULLBACK
1715 static __isl_give PW *FN(PW,align_params_pw_multi_aff_and)(__isl_take PW *pw,
1716         __isl_take isl_multi_aff *ma,
1717         __isl_give PW *(*fn)(__isl_take PW *pw, __isl_take isl_multi_aff *ma))
1718 {
1719         isl_ctx *ctx;
1720         isl_space *ma_space;
1721
1722         ma_space = isl_multi_aff_get_space(ma);
1723         if (!pw || !ma || !ma_space)
1724                 goto error;
1725         if (isl_space_match(pw->dim, isl_dim_param, ma_space, isl_dim_param)) {
1726                 isl_space_free(ma_space);
1727                 return fn(pw, ma);
1728         }
1729         ctx = FN(PW,get_ctx)(pw);
1730         if (!isl_space_has_named_params(pw->dim) ||
1731             !isl_space_has_named_params(ma_space))
1732                 isl_die(ctx, isl_error_invalid,
1733                         "unaligned unnamed parameters", goto error);
1734         pw = FN(PW,align_params)(pw, ma_space);
1735         ma = isl_multi_aff_align_params(ma, FN(PW,get_space)(pw));
1736         return fn(pw, ma);
1737 error:
1738         isl_space_free(ma_space);
1739         FN(PW,free)(pw);
1740         isl_multi_aff_free(ma);
1741         return NULL;
1742 }
1743
1744 static __isl_give PW *FN(PW,align_params_pw_pw_multi_aff_and)(__isl_take PW *pw,
1745         __isl_take isl_pw_multi_aff *pma,
1746         __isl_give PW *(*fn)(__isl_take PW *pw,
1747                 __isl_take isl_pw_multi_aff *ma))
1748 {
1749         isl_ctx *ctx;
1750         isl_space *pma_space;
1751
1752         pma_space = isl_pw_multi_aff_get_space(pma);
1753         if (!pw || !pma || !pma_space)
1754                 goto error;
1755         if (isl_space_match(pw->dim, isl_dim_param, pma_space, isl_dim_param)) {
1756                 isl_space_free(pma_space);
1757                 return fn(pw, pma);
1758         }
1759         ctx = FN(PW,get_ctx)(pw);
1760         if (!isl_space_has_named_params(pw->dim) ||
1761             !isl_space_has_named_params(pma_space))
1762                 isl_die(ctx, isl_error_invalid,
1763                         "unaligned unnamed parameters", goto error);
1764         pw = FN(PW,align_params)(pw, pma_space);
1765         pma = isl_pw_multi_aff_align_params(pma, FN(PW,get_space)(pw));
1766         return fn(pw, pma);
1767 error:
1768         isl_space_free(pma_space);
1769         FN(PW,free)(pw);
1770         isl_pw_multi_aff_free(pma);
1771         return NULL;
1772 }
1773
1774 /* Compute the pullback of "pw" by the function represented by "ma".
1775  * In other words, plug in "ma" in "pw".
1776  */
1777 static __isl_give PW *FN(PW,pullback_multi_aff_aligned)(__isl_take PW *pw,
1778         __isl_take isl_multi_aff *ma)
1779 {
1780         int i;
1781         isl_space *space = NULL;
1782
1783         ma = isl_multi_aff_align_divs(ma);
1784         pw = FN(PW,cow)(pw);
1785         if (!pw || !ma)
1786                 goto error;
1787
1788         space = isl_space_join(isl_multi_aff_get_space(ma),
1789                                 FN(PW,get_space)(pw));
1790
1791         for (i = 0; i < pw->n; ++i) {
1792                 pw->p[i].set = isl_set_preimage_multi_aff(pw->p[i].set,
1793                                                     isl_multi_aff_copy(ma));
1794                 if (!pw->p[i].set)
1795                         goto error;
1796                 pw->p[i].FIELD = FN(EL,pullback_multi_aff)(pw->p[i].FIELD,
1797                                                     isl_multi_aff_copy(ma));
1798                 if (!pw->p[i].FIELD)
1799                         goto error;
1800         }
1801
1802         pw = FN(PW,reset_space)(pw, space);
1803         isl_multi_aff_free(ma);
1804         return pw;
1805 error:
1806         isl_space_free(space);
1807         isl_multi_aff_free(ma);
1808         FN(PW,free)(pw);
1809         return NULL;
1810 }
1811
1812 __isl_give PW *FN(PW,pullback_multi_aff)(__isl_take PW *pw,
1813         __isl_take isl_multi_aff *ma)
1814 {
1815         return FN(PW,align_params_pw_multi_aff_and)(pw, ma,
1816                                         &FN(PW,pullback_multi_aff_aligned));
1817 }
1818
1819 /* Compute the pullback of "pw" by the function represented by "pma".
1820  * In other words, plug in "pma" in "pw".
1821  */
1822 static __isl_give PW *FN(PW,pullback_pw_multi_aff_aligned)(__isl_take PW *pw,
1823         __isl_take isl_pw_multi_aff *pma)
1824 {
1825         int i;
1826         PW *res;
1827
1828         if (!pma)
1829                 goto error;
1830
1831         if (pma->n == 0) {
1832                 isl_pw_multi_aff_free(pma);
1833                 res = FN(PW,empty)(FN(PW,get_space)(pw));
1834                 FN(PW,free)(pw);
1835                 return res;
1836         }
1837
1838         res = FN(PW,pullback_multi_aff)(FN(PW,copy)(pw),
1839                                         isl_multi_aff_copy(pma->p[0].maff));
1840         res = FN(PW,intersect_domain)(res, isl_set_copy(pma->p[0].set));
1841
1842         for (i = 1; i < pma->n; ++i) {
1843                 PW *res_i;
1844
1845                 res_i = FN(PW,pullback_multi_aff)(FN(PW,copy)(pw),
1846                                         isl_multi_aff_copy(pma->p[i].maff));
1847                 res_i = FN(PW,intersect_domain)(res_i,
1848                                         isl_set_copy(pma->p[i].set));
1849                 res = FN(PW,add_disjoint)(res, res_i);
1850         }
1851
1852         isl_pw_multi_aff_free(pma);
1853         FN(PW,free)(pw);
1854         return res;
1855 error:
1856         isl_pw_multi_aff_free(pma);
1857         FN(PW,free)(pw);
1858         return NULL;
1859 }
1860
1861 __isl_give PW *FN(PW,pullback_pw_multi_aff)(__isl_take PW *pw,
1862         __isl_take isl_pw_multi_aff *pma)
1863 {
1864         return FN(PW,align_params_pw_pw_multi_aff_and)(pw, pma,
1865                                         &FN(PW,pullback_pw_multi_aff_aligned));
1866 }
1867 #endif