isl_pw_templ.c

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