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 __isl_give isl_id *FN(PW,get_dim_id)(__isl_keep PW *pw, enum isl_dim_type type,
 183         unsigned pos)
 184 {
 185         return pw ? isl_space_get_dim_id(pw->dim, type, pos) : NULL;
 186 }
 187
 188 const char *FN(PW,get_tuple_name)(__isl_keep PW *pw, enum isl_dim_type type)
 189 {
 190         return pw ? isl_space_get_tuple_name(pw->dim, type) : NULL;
 191 }
 192
 193 int FN(PW,has_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
 194 {
 195         return pw ? isl_space_has_tuple_id(pw->dim, type) : -1;
 196 }
 197
 198 __isl_give isl_id *FN(PW,get_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
 199 {
 200         return pw ? isl_space_get_tuple_id(pw->dim, type) : NULL;
 201 }
 202
 203 int FN(PW,IS_ZERO)(__isl_keep PW *pw)
 204 {
 205         if (!pw)
 206                 return -1;
 207
 208         return pw->n == 0;
 209 }
 210
 211 #ifndef NO_REALIGN
 212 __isl_give PW *FN(PW,realign_domain)(__isl_take PW *pw,
 213         __isl_take isl_reordering *exp)
 214 {
 215         int i;
 216
 217         pw = FN(PW,cow)(pw);
 218         if (!pw || !exp)
 219                 return NULL;
 220
 221         for (i = 0; i < pw->n; ++i) {
 222                 pw->p[i].set = isl_set_realign(pw->p[i].set,
 223                                                     isl_reordering_copy(exp));
 224                 if (!pw->p[i].set)
 225                         goto error;
 226                 pw->p[i].FIELD = FN(EL,realign_domain)(pw->p[i].FIELD,
 227                                                     isl_reordering_copy(exp));
 228                 if (!pw->p[i].FIELD)
 229                         goto error;
 230         }
 231
 232         pw = FN(PW,reset_domain_space)(pw, isl_space_copy(exp->dim));
 233
 234         isl_reordering_free(exp);
 235         return pw;
 236 error:
 237         isl_reordering_free(exp);
 238         FN(PW,free)(pw);
 239         return NULL;
 240 }
 241
 242 /* Align the parameters of "pw" to those of "model".
 243  */
 244 __isl_give PW *FN(PW,align_params)(__isl_take PW *pw, __isl_take isl_space *model)
 245 {
 246         isl_ctx *ctx;
 247
 248         if (!pw || !model)
 249                 goto error;
 250
 251         ctx = isl_space_get_ctx(model);
 252         if (!isl_space_has_named_params(model))
 253                 isl_die(ctx, isl_error_invalid,
 254                         "model has unnamed parameters", goto error);
 255         if (!isl_space_has_named_params(pw->dim))
 256                 isl_die(ctx, isl_error_invalid,
 257                         "input has unnamed parameters", goto error);
 258         if (!isl_space_match(pw->dim, isl_dim_param, model, isl_dim_param)) {
 259                 isl_reordering *exp;
 260
 261                 model = isl_space_drop_dims(model, isl_dim_in,
 262                                         0, isl_space_dim(model, isl_dim_in));
 263                 model = isl_space_drop_dims(model, isl_dim_out,
 264                                         0, isl_space_dim(model, isl_dim_out));
 265                 exp = isl_parameter_alignment_reordering(pw->dim, model);
 266                 exp = isl_reordering_extend_space(exp,
 267                                         FN(PW,get_domain_space)(pw));
 268                 pw = FN(PW,realign_domain)(pw, exp);
 269         }
 270
 271         isl_space_free(model);
 272         return pw;
 273 error:
 274         isl_space_free(model);
 275         FN(PW,free)(pw);
 276         return NULL;
 277 }
 278
 279 static __isl_give PW *FN(PW,align_params_pw_pw_and)(__isl_take PW *pw1,
 280         __isl_take PW *pw2,
 281         __isl_give PW *(*fn)(__isl_take PW *pw1, __isl_take PW *pw2))
 282 {
 283         isl_ctx *ctx;
 284
 285         if (!pw1 || !pw2)
 286                 goto error;
 287         if (isl_space_match(pw1->dim, isl_dim_param, pw2->dim, isl_dim_param))
 288                 return fn(pw1, pw2);
 289         ctx = FN(PW,get_ctx)(pw1);
 290         if (!isl_space_has_named_params(pw1->dim) ||
 291             !isl_space_has_named_params(pw2->dim))
 292                 isl_die(ctx, isl_error_invalid,
 293                         "unaligned unnamed parameters", goto error);
 294         pw1 = FN(PW,align_params)(pw1, FN(PW,get_space)(pw2));
 295         pw2 = FN(PW,align_params)(pw2, FN(PW,get_space)(pw1));
 296         return fn(pw1, pw2);
 297 error:
 298         FN(PW,free)(pw1);
 299         FN(PW,free)(pw2);
 300         return NULL;
 301 }
 302
 303 static __isl_give PW *FN(PW,align_params_pw_set_and)(__isl_take PW *pw,
 304         __isl_take isl_set *set,
 305         __isl_give PW *(*fn)(__isl_take PW *pw, __isl_take isl_set *set))
 306 {
 307         isl_ctx *ctx;
 308
 309         if (!pw || !set)
 310                 goto error;
 311         if (isl_space_match(pw->dim, isl_dim_param, set->dim, isl_dim_param))
 312                 return fn(pw, set);
 313         ctx = FN(PW,get_ctx)(pw);
 314         if (!isl_space_has_named_params(pw->dim) ||
 315             !isl_space_has_named_params(set->dim))
 316                 isl_die(ctx, isl_error_invalid,
 317                         "unaligned unnamed parameters", goto error);
 318         pw = FN(PW,align_params)(pw, isl_set_get_space(set));
 319         set = isl_set_align_params(set, FN(PW,get_space)(pw));
 320         return fn(pw, set);
 321 error:
 322         FN(PW,free)(pw);
 323         isl_set_free(set);
 324         return NULL;
 325 }
 326 #endif
 327
 328 static __isl_give PW *FN(PW,union_add_aligned)(__isl_take PW *pw1,
 329         __isl_take PW *pw2)
 330 {
 331         int i, j, n;
 332         struct PW *res;
 333         isl_ctx *ctx;
 334         isl_set *set;
 335
 336         if (!pw1 || !pw2)
 337                 goto error;
 338
 339         ctx = isl_space_get_ctx(pw1->dim);
 340 #ifdef HAS_TYPE
 341         if (pw1->type != pw2->type)
 342                 isl_die(ctx, isl_error_invalid,
 343                         "fold types don't match", goto error);
 344 #endif
 345         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 346
 347         if (FN(PW,IS_ZERO)(pw1)) {
 348                 FN(PW,free)(pw1);
 349                 return pw2;
 350         }
 351
 352         if (FN(PW,IS_ZERO)(pw2)) {
 353                 FN(PW,free)(pw2);
 354                 return pw1;
 355         }
 356
 357         n = (pw1->n + 1) * (pw2->n + 1);
 358 #ifdef HAS_TYPE
 359         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), pw1->type, n);
 360 #else
 361         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), n);
 362 #endif
 363
 364         for (i = 0; i < pw1->n; ++i) {
 365                 set = isl_set_copy(pw1->p[i].set);
 366                 for (j = 0; j < pw2->n; ++j) {
 367                         struct isl_set *common;
 368                         EL *sum;
 369                         set = isl_set_subtract(set,
 370                                         isl_set_copy(pw2->p[j].set));
 371                         common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
 372                                                 isl_set_copy(pw2->p[j].set));
 373                         if (isl_set_plain_is_empty(common)) {
 374                                 isl_set_free(common);
 375                                 continue;
 376                         }
 377
 378                         sum = FN(EL,add_on_domain)(common,
 379                                                    FN(EL,copy)(pw1->p[i].FIELD),
 380                                                    FN(EL,copy)(pw2->p[j].FIELD));
 381
 382                         res = FN(PW,add_piece)(res, common, sum);
 383                 }
 384                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw1->p[i].FIELD));
 385         }
 386
 387         for (j = 0; j < pw2->n; ++j) {
 388                 set = isl_set_copy(pw2->p[j].set);
 389                 for (i = 0; i < pw1->n; ++i)
 390                         set = isl_set_subtract(set,
 391                                         isl_set_copy(pw1->p[i].set));
 392                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw2->p[j].FIELD));
 393         }
 394
 395         FN(PW,free)(pw1);
 396         FN(PW,free)(pw2);
 397
 398         return res;
 399 error:
 400         FN(PW,free)(pw1);
 401         FN(PW,free)(pw2);
 402         return NULL;
 403 }
 404
 405 /* Private version of "union_add".  For isl_pw_qpolynomial and
 406  * isl_pw_qpolynomial_fold, we prefer to simply call it "add".
 407  */
 408 static __isl_give PW *FN(PW,union_add_)(__isl_take PW *pw1, __isl_take PW *pw2)
 409 {
 410         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
 411                                                 &FN(PW,union_add_aligned));
 412 }
 413
 414 /* Make sure "pw" has room for at least "n" more pieces.
 415  *
 416  * If there is only one reference to pw, we extend it in place.
 417  * Otherwise, we create a new PW and copy the pieces.
 418  */
 419 static __isl_give PW *FN(PW,grow)(__isl_take PW *pw, int n)
 420 {
 421         int i;
 422         isl_ctx *ctx;
 423         PW *res;
 424
 425         if (!pw)
 426                 return NULL;
 427         if (pw->n + n <= pw->size)
 428                 return pw;
 429         ctx = FN(PW,get_ctx)(pw);
 430         n += pw->n;
 431         if (pw->ref == 1) {
 432                 res = isl_realloc(ctx, pw, struct PW,
 433                             sizeof(struct PW) + (n - 1) * sizeof(S(PW,piece)));
 434                 if (!res)
 435                         return FN(PW,free)(pw);
 436                 res->size = n;
 437                 return res;
 438         }
 439 #ifdef HAS_TYPE
 440         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->type, n);
 441 #else
 442         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), n);
 443 #endif
 444         if (!res)
 445                 return FN(PW,free)(pw);
 446         for (i = 0; i < pw->n; ++i)
 447                 res = FN(PW,add_piece)(res, isl_set_copy(pw->p[i].set),
 448                                             FN(EL,copy)(pw->p[i].FIELD));
 449         FN(PW,free)(pw);
 450         return res;
 451 }
 452
 453 static __isl_give PW *FN(PW,add_disjoint_aligned)(__isl_take PW *pw1,
 454         __isl_take PW *pw2)
 455 {
 456         int i;
 457         isl_ctx *ctx;
 458
 459         if (!pw1 || !pw2)
 460                 goto error;
 461
 462         if (pw1->size < pw1->n + pw2->n && pw1->n < pw2->n)
 463                 return FN(PW,add_disjoint_aligned)(pw2, pw1);
 464
 465         ctx = isl_space_get_ctx(pw1->dim);
 466 #ifdef HAS_TYPE
 467         if (pw1->type != pw2->type)
 468                 isl_die(ctx, isl_error_invalid,
 469                         "fold types don't match", goto error);
 470 #endif
 471         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
 472
 473         if (FN(PW,IS_ZERO)(pw1)) {
 474                 FN(PW,free)(pw1);
 475                 return pw2;
 476         }
 477
 478         if (FN(PW,IS_ZERO)(pw2)) {
 479                 FN(PW,free)(pw2);
 480                 return pw1;
 481         }
 482
 483         pw1 = FN(PW,grow)(pw1, pw2->n);
 484         if (!pw1)
 485                 goto error;
 486
 487         for (i = 0; i < pw2->n; ++i)
 488                 pw1 = FN(PW,add_piece)(pw1,
 489                                 isl_set_copy(pw2->p[i].set),
 490                                 FN(EL,copy)(pw2->p[i].FIELD));
 491
 492         FN(PW,free)(pw2);
 493
 494         return pw1;
 495 error:
 496         FN(PW,free)(pw1);
 497         FN(PW,free)(pw2);
 498         return NULL;
 499 }
 500
 501 __isl_give PW *FN(PW,add_disjoint)(__isl_take PW *pw1, __isl_take PW *pw2)
 502 {
 503         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
 504                                                 &FN(PW,add_disjoint_aligned));
 505 }
 506
 507 /* This function is currently only used from isl_aff.c
 508  */
 509 static __isl_give PW *FN(PW,on_shared_domain)(__isl_take PW *pw1,
 510         __isl_take PW *pw2,
 511         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 512         __attribute__ ((unused));
 513
 514 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
 515  */
 516 static __isl_give PW *FN(PW,on_shared_domain)(__isl_take PW *pw1,
 517         __isl_take PW *pw2,
 518         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
 519 {
 520         int i, j, n;
 521         PW *res;
 522
 523         if (!pw1 || !pw2)
 524                 goto error;
 525
 526         n = pw1->n * pw2->n;
 527 #ifdef HAS_TYPE
 528         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), pw1->type, n);
 529 #else
 530         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), n);
 531 #endif
 532
 533         for (i = 0; i < pw1->n; ++i) {
 534                 for (j = 0; j < pw2->n; ++j) {
 535                         isl_set *common;
 536                         EL *res_ij;
 537                         common = isl_set_intersect(
 538                                         isl_set_copy(pw1->p[i].set),
 539                                         isl_set_copy(pw2->p[j].set));
 540                         if (isl_set_plain_is_empty(common)) {
 541                                 isl_set_free(common);
 542                                 continue;
 543                         }
 544
 545                         res_ij = fn(FN(EL,copy)(pw1->p[i].FIELD),
 546                                     FN(EL,copy)(pw2->p[j].FIELD));
 547
 548                         res = FN(PW,add_piece)(res, common, res_ij);
 549                 }
 550         }
 551
 552         FN(PW,free)(pw1);
 553         FN(PW,free)(pw2);
 554         return res;
 555 error:
 556         FN(PW,free)(pw1);
 557         FN(PW,free)(pw2);
 558         return NULL;
 559 }
 560
 561 #ifndef NO_NEG
 562 __isl_give PW *FN(PW,neg)(__isl_take PW *pw)
 563 {
 564         int i;
 565
 566         if (!pw)
 567                 return NULL;
 568
 569         if (FN(PW,IS_ZERO)(pw))
 570                 return pw;
 571
 572         pw = FN(PW,cow)(pw);
 573         if (!pw)
 574                 return NULL;
 575
 576         for (i = 0; i < pw->n; ++i) {
 577                 pw->p[i].FIELD = FN(EL,neg)(pw->p[i].FIELD);
 578                 if (!pw->p[i].FIELD)
 579                         return FN(PW,free)(pw);
 580         }
 581
 582         return pw;
 583 }
 584
 585 __isl_give PW *FN(PW,sub)(__isl_take PW *pw1, __isl_take PW *pw2)
 586 {
 587         return FN(PW,add)(pw1, FN(PW,neg)(pw2));
 588 }
 589 #endif
 590
 591 #ifndef NO_EVAL
 592 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
 593         __isl_take isl_point *pnt)
 594 {
 595         int i;
 596         int found = 0;
 597         isl_ctx *ctx;
 598         isl_space *pnt_dim = NULL;
 599         isl_qpolynomial *qp;
 600
 601         if (!pw || !pnt)
 602                 goto error;
 603         ctx = isl_point_get_ctx(pnt);
 604         pnt_dim = isl_point_get_space(pnt);
 605         isl_assert(ctx, isl_space_is_domain(pnt_dim, pw->dim), goto error);
 606
 607         for (i = 0; i < pw->n; ++i) {
 608                 found = isl_set_contains_point(pw->p[i].set, pnt);
 609                 if (found < 0)
 610                         goto error;
 611                 if (found)
 612                         break;
 613         }
 614         if (found)
 615                 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
 616                                             isl_point_copy(pnt));
 617         else
 618                 qp = isl_qpolynomial_zero_on_domain(FN(PW,get_domain_space)(pw));
 619         FN(PW,free)(pw);
 620         isl_space_free(pnt_dim);
 621         isl_point_free(pnt);
 622         return qp;
 623 error:
 624         FN(PW,free)(pw);
 625         isl_space_free(pnt_dim);
 626         isl_point_free(pnt);
 627         return NULL;
 628 }
 629 #endif
 630
 631 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
 632 {
 633         int i;
 634         isl_set *dom;
 635
 636         if (!pw)
 637                 return NULL;
 638
 639         dom = isl_set_empty(FN(PW,get_domain_space)(pw));
 640         for (i = 0; i < pw->n; ++i)
 641                 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
 642
 643         FN(PW,free)(pw);
 644
 645         return dom;
 646 }
 647
 648 static __isl_give PW *FN(PW,intersect_domain_aligned)(__isl_take PW *pw,
 649         __isl_take isl_set *set)
 650 {
 651         int i;
 652
 653         if (!pw || !set)
 654                 goto error;
 655
 656         if (pw->n == 0) {
 657                 isl_set_free(set);
 658                 return pw;
 659         }
 660
 661         pw = FN(PW,cow)(pw);
 662         if (!pw)
 663                 goto error;
 664
 665         for (i = pw->n - 1; i >= 0; --i) {
 666                 isl_basic_set *aff;
 667                 pw->p[i].set = isl_set_intersect(pw->p[i].set, isl_set_copy(set));
 668                 if (!pw->p[i].set)
 669                         goto error;
 670                 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
 671                 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
 672                                                                 aff);
 673                 if (!pw->p[i].FIELD)
 674                         goto error;
 675                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 676                         isl_set_free(pw->p[i].set);
 677                         FN(EL,free)(pw->p[i].FIELD);
 678                         if (i != pw->n - 1)
 679                                 pw->p[i] = pw->p[pw->n - 1];
 680                         pw->n--;
 681                 }
 682         }
 683
 684         isl_set_free(set);
 685         return pw;
 686 error:
 687         isl_set_free(set);
 688         FN(PW,free)(pw);
 689         return NULL;
 690 }
 691
 692 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw,
 693         __isl_take isl_set *context)
 694 {
 695         return FN(PW,align_params_pw_set_and)(pw, context,
 696                                         &FN(PW,intersect_domain_aligned));
 697 }
 698
 699 static __isl_give PW *FN(PW,gist_aligned)(__isl_take PW *pw,
 700         __isl_take isl_set *context)
 701 {
 702         int i;
 703         isl_basic_set *hull = NULL;
 704
 705         if (!pw || !context)
 706                 goto error;
 707
 708         if (pw->n == 0) {
 709                 isl_set_free(context);
 710                 return pw;
 711         }
 712
 713         if (!isl_space_match(pw->dim, isl_dim_param,
 714                                 context->dim, isl_dim_param)) {
 715                 pw = FN(PW,align_params)(pw, isl_set_get_space(context));
 716                 context = isl_set_align_params(context, FN(PW,get_space)(pw));
 717         }
 718
 719         context = isl_set_compute_divs(context);
 720         hull = isl_set_simple_hull(isl_set_copy(context));
 721
 722         pw = FN(PW,cow)(pw);
 723         if (!pw)
 724                 goto error;
 725
 726         for (i = pw->n - 1; i >= 0; --i) {
 727                 pw->p[i].set = isl_set_intersect(pw->p[i].set,
 728                                                  isl_set_copy(context));
 729                 if (!pw->p[i].set)
 730                         goto error;
 731                 pw->p[i].FIELD = FN(EL,gist)(pw->p[i].FIELD,
 732                                              isl_set_copy(pw->p[i].set));
 733                 pw->p[i].set = isl_set_gist_basic_set(pw->p[i].set,
 734                                                 isl_basic_set_copy(hull));
 735                 if (!pw->p[i].set)
 736                         goto error;
 737                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 738                         isl_set_free(pw->p[i].set);
 739                         FN(EL,free)(pw->p[i].FIELD);
 740                         if (i != pw->n - 1)
 741                                 pw->p[i] = pw->p[pw->n - 1];
 742                         pw->n--;
 743                 }
 744         }
 745
 746         isl_basic_set_free(hull);
 747         isl_set_free(context);
 748
 749         return pw;
 750 error:
 751         FN(PW,free)(pw);
 752         isl_basic_set_free(hull);
 753         isl_set_free(context);
 754         return NULL;
 755 }
 756
 757 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
 758 {
 759         return FN(PW,align_params_pw_set_and)(pw, context, &FN(PW,gist_aligned));
 760 }
 761
 762 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
 763 {
 764         int i, j;
 765
 766         if (!pw)
 767                 return NULL;
 768         if (pw->n == 0)
 769                 return pw;
 770
 771         for (i = pw->n - 1; i >= 0; --i) {
 772                 for (j = i - 1; j >= 0; --j) {
 773                         if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
 774                                                         pw->p[j].FIELD))
 775                                 continue;
 776                         pw->p[j].set = isl_set_union(pw->p[j].set,
 777                                                         pw->p[i].set);
 778                         FN(EL,free)(pw->p[i].FIELD);
 779                         if (i != pw->n - 1)
 780                                 pw->p[i] = pw->p[pw->n - 1];
 781                         pw->n--;
 782                         break;
 783                 }
 784                 if (j >= 0)
 785                         continue;
 786                 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
 787                 if (!pw->p[i].set)
 788                         goto error;
 789         }
 790
 791         return pw;
 792 error:
 793         FN(PW,free)(pw);
 794         return NULL;
 795 }
 796
 797 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
 798 {
 799         return pw ? isl_space_get_ctx(pw->dim) : NULL;
 800 }
 801
 802 #ifndef NO_INVOLVES_DIMS
 803 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
 804         unsigned first, unsigned n)
 805 {
 806         int i;
 807         enum isl_dim_type set_type;
 808
 809         if (!pw)
 810                 return -1;
 811         if (pw->n == 0 || n == 0)
 812                 return 0;
 813
 814         set_type = type == isl_dim_in ? isl_dim_set : type;
 815
 816         for (i = 0; i < pw->n; ++i) {
 817                 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
 818                                                         type, first, n);
 819                 if (involves < 0 || involves)
 820                         return involves;
 821                 involves = isl_set_involves_dims(pw->p[i].set,
 822                                                         set_type, first, n);
 823                 if (involves < 0 || involves)
 824                         return involves;
 825         }
 826         return 0;
 827 }
 828 #endif
 829
 830 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
 831         enum isl_dim_type type, unsigned pos, const char *s)
 832 {
 833         int i;
 834         enum isl_dim_type set_type;
 835
 836         pw = FN(PW,cow)(pw);
 837         if (!pw)
 838                 return NULL;
 839
 840         set_type = type == isl_dim_in ? isl_dim_set : type;
 841
 842         pw->dim = isl_space_set_dim_name(pw->dim, type, pos, s);
 843         if (!pw->dim)
 844                 goto error;
 845
 846         for (i = 0; i < pw->n; ++i) {
 847                 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set,
 848                                                         set_type, pos, s);
 849                 if (!pw->p[i].set)
 850                         goto error;
 851                 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
 852                 if (!pw->p[i].FIELD)
 853                         goto error;
 854         }
 855
 856         return pw;
 857 error:
 858         FN(PW,free)(pw);
 859         return NULL;
 860 }
 861
 862 #ifndef NO_DROP_DIMS
 863 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
 864         enum isl_dim_type type, unsigned first, unsigned n)
 865 {
 866         int i;
 867         enum isl_dim_type set_type;
 868
 869         if (!pw)
 870                 return NULL;
 871         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 872                 return pw;
 873
 874         set_type = type == isl_dim_in ? isl_dim_set : type;
 875
 876         pw = FN(PW,cow)(pw);
 877         if (!pw)
 878                 return NULL;
 879         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 880         if (!pw->dim)
 881                 goto error;
 882         for (i = 0; i < pw->n; ++i) {
 883                 pw->p[i].set = isl_set_drop(pw->p[i].set, set_type, first, n);
 884                 if (!pw->p[i].set)
 885                         goto error;
 886                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 887                 if (!pw->p[i].FIELD)
 888                         goto error;
 889         }
 890
 891         return pw;
 892 error:
 893         FN(PW,free)(pw);
 894         return NULL;
 895 }
 896
 897 /* This function is very similar to drop_dims.
 898  * The only difference is that the cells may still involve
 899  * the specified dimensions.  They are removed using
 900  * isl_set_project_out instead of isl_set_drop.
 901  */
 902 __isl_give PW *FN(PW,project_out)(__isl_take PW *pw,
 903         enum isl_dim_type type, unsigned first, unsigned n)
 904 {
 905         int i;
 906         enum isl_dim_type set_type;
 907
 908         if (!pw)
 909                 return NULL;
 910         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 911                 return pw;
 912
 913         set_type = type == isl_dim_in ? isl_dim_set : type;
 914
 915         pw = FN(PW,cow)(pw);
 916         if (!pw)
 917                 return NULL;
 918         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 919         if (!pw->dim)
 920                 goto error;
 921         for (i = 0; i < pw->n; ++i) {
 922                 pw->p[i].set = isl_set_project_out(pw->p[i].set,
 923                                                         set_type, first, n);
 924                 if (!pw->p[i].set)
 925                         goto error;
 926                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 927                 if (!pw->p[i].FIELD)
 928                         goto error;
 929         }
 930
 931         return pw;
 932 error:
 933         FN(PW,free)(pw);
 934         return NULL;
 935 }
 936
 937 /* Project the domain of pw onto its parameter space.
 938  */
 939 __isl_give PW *FN(PW,project_domain_on_params)(__isl_take PW *pw)
 940 {
 941         isl_space *space;
 942         unsigned n;
 943
 944         n = FN(PW,dim)(pw, isl_dim_in);
 945         pw = FN(PW,project_out)(pw, isl_dim_in, 0, n);
 946         space = FN(PW,get_domain_space)(pw);
 947         space = isl_space_params(space);
 948         pw = FN(PW,reset_domain_space)(pw, space);
 949         return pw;
 950 }
 951 #endif
 952
 953 #ifndef NO_INSERT_DIMS
 954 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
 955         unsigned first, unsigned n)
 956 {
 957         int i;
 958         enum isl_dim_type set_type;
 959
 960         if (!pw)
 961                 return NULL;
 962         if (n == 0 && !isl_space_is_named_or_nested(pw->dim, type))
 963                 return pw;
 964
 965         set_type = type == isl_dim_in ? isl_dim_set : type;
 966
 967         pw = FN(PW,cow)(pw);
 968         if (!pw)
 969                 return NULL;
 970
 971         pw->dim = isl_space_insert_dims(pw->dim, type, first, n);
 972         if (!pw->dim)
 973                 goto error;
 974
 975         for (i = 0; i < pw->n; ++i) {
 976                 pw->p[i].set = isl_set_insert_dims(pw->p[i].set,
 977                                                             set_type, first, n);
 978                 if (!pw->p[i].set)
 979                         goto error;
 980                 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
 981                                                                 type, first, n);
 982                 if (!pw->p[i].FIELD)
 983                         goto error;
 984         }
 985
 986         return pw;
 987 error:
 988         FN(PW,free)(pw);
 989         return NULL;
 990 }
 991 #endif
 992
 993 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
 994         enum isl_dim_type type, unsigned pos, isl_int v)
 995 {
 996         int i;
 997
 998         if (!pw)
 999                 return NULL;
1000
1001         if (type == isl_dim_in)
1002                 type = isl_dim_set;
1003
1004         pw = FN(PW,cow)(pw);
1005         if (!pw)
1006                 return NULL;
1007         for (i = 0; i < pw->n; ++i) {
1008                 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
1009                 if (!pw->p[i].set)
1010                         goto error;
1011         }
1012
1013         return pw;
1014 error:
1015         FN(PW,free)(pw);
1016         return NULL;
1017 }
1018
1019 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
1020 {
1021         return pw ? isl_space_dim(pw->dim, type) : 0;
1022 }
1023
1024 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
1025         enum isl_dim_type type, unsigned first, unsigned n)
1026 {
1027         int i;
1028
1029         if (!pw)
1030                 return NULL;
1031         if (n == 0)
1032                 return pw;
1033
1034         if (type == isl_dim_in)
1035                 type = isl_dim_set;
1036
1037         pw = FN(PW,cow)(pw);
1038         if (!pw)
1039                 return NULL;
1040         if (!pw->dim)
1041                 goto error;
1042         for (i = 0; i < pw->n; ++i) {
1043                 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
1044                 if (!pw->p[i].set)
1045                         goto error;
1046         }
1047
1048         return pw;
1049 error:
1050         FN(PW,free)(pw);
1051         return NULL;
1052 }
1053
1054 #ifndef NO_OPT
1055 /* Compute the maximal value attained by the piecewise quasipolynomial
1056  * on its domain or zero if the domain is empty.
1057  * In the worst case, the domain is scanned completely,
1058  * so the domain is assumed to be bounded.
1059  */
1060 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
1061 {
1062         int i;
1063         isl_qpolynomial *opt;
1064
1065         if (!pw)
1066                 return NULL;
1067
1068         if (pw->n == 0) {
1069                 isl_space *dim = isl_space_copy(pw->dim);
1070                 FN(PW,free)(pw);
1071                 return isl_qpolynomial_zero_on_domain(dim);
1072         }
1073
1074         opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
1075                                         isl_set_copy(pw->p[0].set), max);
1076         for (i = 1; i < pw->n; ++i) {
1077                 isl_qpolynomial *opt_i;
1078                 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
1079                                                 isl_set_copy(pw->p[i].set), max);
1080                 if (max)
1081                         opt = isl_qpolynomial_max_cst(opt, opt_i);
1082                 else
1083                         opt = isl_qpolynomial_min_cst(opt, opt_i);
1084         }
1085
1086         FN(PW,free)(pw);
1087         return opt;
1088 }
1089
1090 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
1091 {
1092         return FN(PW,opt)(pw, 1);
1093 }
1094
1095 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
1096 {
1097         return FN(PW,opt)(pw, 0);
1098 }
1099 #endif
1100
1101 __isl_give isl_space *FN(PW,get_space)(__isl_keep PW *pw)
1102 {
1103         return pw ? isl_space_copy(pw->dim) : NULL;
1104 }
1105
1106 __isl_give isl_space *FN(PW,get_domain_space)(__isl_keep PW *pw)
1107 {
1108         return pw ? isl_space_domain(isl_space_copy(pw->dim)) : NULL;
1109 }
1110
1111 #ifndef NO_RESET_DIM
1112 /* Reset the space of "pw".  Since we don't know if the elements
1113  * represent the spaces themselves or their domains, we pass along
1114  * both when we call their reset_space_and_domain.
1115  */
1116 static __isl_give PW *FN(PW,reset_space_and_domain)(__isl_take PW *pw,
1117         __isl_take isl_space *space, __isl_take isl_space *domain)
1118 {
1119         int i;
1120
1121         pw = FN(PW,cow)(pw);
1122         if (!pw || !space || !domain)
1123                 goto error;
1124
1125         for (i = 0; i < pw->n; ++i) {
1126                 pw->p[i].set = isl_set_reset_space(pw->p[i].set,
1127                                                  isl_space_copy(domain));
1128                 if (!pw->p[i].set)
1129                         goto error;
1130                 pw->p[i].FIELD = FN(EL,reset_space_and_domain)(pw->p[i].FIELD,
1131                               isl_space_copy(space), isl_space_copy(domain));
1132                 if (!pw->p[i].FIELD)
1133                         goto error;
1134         }
1135
1136         isl_space_free(domain);
1137
1138         isl_space_free(pw->dim);
1139         pw->dim = space;
1140
1141         return pw;
1142 error:
1143         isl_space_free(domain);
1144         isl_space_free(space);
1145         FN(PW,free)(pw);
1146         return NULL;
1147 }
1148
1149 __isl_give PW *FN(PW,reset_domain_space)(__isl_take PW *pw,
1150         __isl_take isl_space *domain)
1151 {
1152         isl_space *space;
1153
1154         space = isl_space_extend_domain_with_range(isl_space_copy(domain),
1155                                                    FN(PW,get_space)(pw));
1156         return FN(PW,reset_space_and_domain)(pw, space, domain);
1157 }
1158
1159 __isl_give PW *FN(PW,reset_space)(__isl_take PW *pw, __isl_take isl_space *dim)
1160 {
1161         isl_space *domain;
1162
1163         domain = isl_space_domain(isl_space_copy(dim));
1164         return FN(PW,reset_space_and_domain)(pw, dim, domain);
1165 }
1166
1167 __isl_give PW *FN(PW,set_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type,
1168         __isl_take isl_id *id)
1169 {
1170         isl_space *space;
1171
1172         pw = FN(PW,cow)(pw);
1173         if (!pw)
1174                 return isl_id_free(id);
1175
1176         space = FN(PW,get_space)(pw);
1177         space = isl_space_set_tuple_id(space, type, id);
1178
1179         return FN(PW,reset_space)(pw, space);
1180 }
1181
1182 __isl_give PW *FN(PW,set_dim_id)(__isl_take PW *pw,
1183         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
1184 {
1185         pw = FN(PW,cow)(pw);
1186         if (!pw)
1187                 return isl_id_free(id);
1188         pw->dim = isl_space_set_dim_id(pw->dim, type, pos, id);
1189         return FN(PW,reset_space)(pw, isl_space_copy(pw->dim));
1190 }
1191 #endif
1192
1193 int FN(PW,has_equal_space)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1194 {
1195         if (!pw1 || !pw2)
1196                 return -1;
1197
1198         return isl_space_is_equal(pw1->dim, pw2->dim);
1199 }
1200
1201 #ifndef NO_MORPH
1202 __isl_give PW *FN(PW,morph_domain)(__isl_take PW *pw,
1203         __isl_take isl_morph *morph)
1204 {
1205         int i;
1206         isl_ctx *ctx;
1207
1208         if (!pw || !morph)
1209                 goto error;
1210
1211         ctx = isl_space_get_ctx(pw->dim);
1212         isl_assert(ctx, isl_space_is_domain(morph->dom->dim, pw->dim),
1213                 goto error);
1214
1215         pw = FN(PW,cow)(pw);
1216         if (!pw)
1217                 goto error;
1218         pw->dim = isl_space_extend_domain_with_range(
1219                         isl_space_copy(morph->ran->dim), pw->dim);
1220         if (!pw->dim)
1221                 goto error;
1222
1223         for (i = 0; i < pw->n; ++i) {
1224                 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
1225                 if (!pw->p[i].set)
1226                         goto error;
1227                 pw->p[i].FIELD = FN(EL,morph_domain)(pw->p[i].FIELD,
1228                                                 isl_morph_copy(morph));
1229                 if (!pw->p[i].FIELD)
1230                         goto error;
1231         }
1232
1233         isl_morph_free(morph);
1234
1235         return pw;
1236 error:
1237         FN(PW,free)(pw);
1238         isl_morph_free(morph);
1239         return NULL;
1240 }
1241 #endif
1242
1243 int FN(PW,foreach_piece)(__isl_keep PW *pw,
1244         int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
1245         void *user)
1246 {
1247         int i;
1248
1249         if (!pw)
1250                 return -1;
1251
1252         for (i = 0; i < pw->n; ++i)
1253                 if (fn(isl_set_copy(pw->p[i].set),
1254                                 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
1255                         return -1;
1256
1257         return 0;
1258 }
1259
1260 #ifndef NO_LIFT
1261 static int any_divs(__isl_keep isl_set *set)
1262 {
1263         int i;
1264
1265         if (!set)
1266                 return -1;
1267
1268         for (i = 0; i < set->n; ++i)
1269                 if (set->p[i]->n_div > 0)
1270                         return 1;
1271
1272         return 0;
1273 }
1274
1275 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
1276         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1277                     void *user), void *user)
1278 {
1279         int i;
1280
1281         if (!set || !el)
1282                 goto error;
1283
1284         for (i = 0; i < set->n; ++i) {
1285                 isl_set *lift;
1286                 EL *copy;
1287
1288                 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
1289                 lift = isl_set_lift(lift);
1290
1291                 copy = FN(EL,copy)(el);
1292                 copy = FN(EL,lift)(copy, isl_set_get_space(lift));
1293
1294                 if (fn(lift, copy, user) < 0)
1295                         goto error;
1296         }
1297
1298         isl_set_free(set);
1299         FN(EL,free)(el);
1300
1301         return 0;
1302 error:
1303         isl_set_free(set);
1304         FN(EL,free)(el);
1305         return -1;
1306 }
1307
1308 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
1309         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1310                     void *user), void *user)
1311 {
1312         int i;
1313
1314         if (!pw)
1315                 return -1;
1316
1317         for (i = 0; i < pw->n; ++i) {
1318                 isl_set *set;
1319                 EL *el;
1320
1321                 set = isl_set_copy(pw->p[i].set);
1322                 el = FN(EL,copy)(pw->p[i].FIELD);
1323                 if (!any_divs(set)) {
1324                         if (fn(set, el, user) < 0)
1325                                 return -1;
1326                         continue;
1327                 }
1328                 if (foreach_lifted_subset(set, el, fn, user) < 0)
1329                         return -1;
1330         }
1331
1332         return 0;
1333 }
1334 #endif
1335
1336 #ifndef NO_MOVE_DIMS
1337 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
1338         enum isl_dim_type dst_type, unsigned dst_pos,
1339         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1340 {
1341         int i;
1342
1343         pw = FN(PW,cow)(pw);
1344         if (!pw)
1345                 return NULL;
1346
1347         pw->dim = isl_space_move_dims(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
1348         if (!pw->dim)
1349                 goto error;
1350
1351         for (i = 0; i < pw->n; ++i) {
1352                 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
1353                                         dst_type, dst_pos, src_type, src_pos, n);
1354                 if (!pw->p[i].FIELD)
1355                         goto error;
1356         }
1357
1358         if (dst_type == isl_dim_in)
1359                 dst_type = isl_dim_set;
1360         if (src_type == isl_dim_in)
1361                 src_type = isl_dim_set;
1362
1363         for (i = 0; i < pw->n; ++i) {
1364                 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
1365                                                 dst_type, dst_pos,
1366                                                 src_type, src_pos, n);
1367                 if (!pw->p[i].set)
1368                         goto error;
1369         }
1370
1371         return pw;
1372 error:
1373         FN(PW,free)(pw);
1374         return NULL;
1375 }
1376 #endif
1377
1378 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
1379 {
1380         int i;
1381
1382         if (isl_int_is_one(v))
1383                 return pw;
1384         if (pw && isl_int_is_zero(v)) {
1385                 PW *zero;
1386                 isl_space *dim = FN(PW,get_space)(pw);
1387 #ifdef HAS_TYPE
1388                 zero = FN(PW,ZERO)(dim, pw->type);
1389 #else
1390                 zero = FN(PW,ZERO)(dim);
1391 #endif
1392                 FN(PW,free)(pw);
1393                 return zero;
1394         }
1395         pw = FN(PW,cow)(pw);
1396         if (!pw)
1397                 return NULL;
1398         if (pw->n == 0)
1399                 return pw;
1400
1401 #ifdef HAS_TYPE
1402         if (isl_int_is_neg(v))
1403                 pw->type = isl_fold_type_negate(pw->type);
1404 #endif
1405         for (i = 0; i < pw->n; ++i) {
1406                 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);
1407                 if (!pw->p[i].FIELD)
1408                         goto error;
1409         }
1410
1411         return pw;
1412 error:
1413         FN(PW,free)(pw);
1414         return NULL;
1415 }
1416
1417 __isl_give PW *FN(PW,scale)(__isl_take PW *pw, isl_int v)
1418 {
1419         return FN(PW,mul_isl_int)(pw, v);
1420 }
1421
1422 static int FN(PW,qsort_set_cmp)(const void *p1, const void *p2)
1423 {
1424         const isl_set *set1 = *(const isl_set **)p1;
1425         const isl_set *set2 = *(const isl_set **)p2;
1426
1427         return isl_set_plain_cmp(set1, set2);
1428 }
1429
1430 /* We normalize in place, but if anything goes wrong we need
1431  * to return NULL, so we need to make sure we don't change the
1432  * meaning of any possible other copies of map.
1433  */
1434 __isl_give PW *FN(PW,normalize)(__isl_take PW *pw)
1435 {
1436         int i, j;
1437         isl_set *set;
1438
1439         if (!pw)
1440                 return NULL;
1441         for (i = 0; i < pw->n; ++i) {
1442                 set = isl_set_normalize(isl_set_copy(pw->p[i].set));
1443                 if (!set)
1444                         return FN(PW,free)(pw);
1445                 isl_set_free(pw->p[i].set);
1446                 pw->p[i].set = set;
1447         }
1448         qsort(pw->p, pw->n, sizeof(pw->p[0]), &FN(PW,qsort_set_cmp));
1449         for (i = pw->n - 1; i >= 1; --i) {
1450                 if (!isl_set_plain_is_equal(pw->p[i - 1].set, pw->p[i].set))
1451                         continue;
1452                 if (!FN(EL,plain_is_equal)(pw->p[i - 1].FIELD, pw->p[i].FIELD))
1453                         continue;
1454                 set = isl_set_union(isl_set_copy(pw->p[i - 1].set),
1455                                     isl_set_copy(pw->p[i].set));
1456                 if (!set)
1457                         return FN(PW,free)(pw);
1458                 isl_set_free(pw->p[i].set);
1459                 FN(EL,free)(pw->p[i].FIELD);
1460                 isl_set_free(pw->p[i - 1].set);
1461                 pw->p[i - 1].set = set;
1462                 for (j = i + 1; j < pw->n; ++j)
1463                         pw->p[j - 1] = pw->p[j];
1464                 pw->n--;
1465         }
1466
1467         return pw;
1468 }
1469
1470 /* Is pw1 obviously equal to pw2?
1471  * That is, do they have obviously identical cells and obviously identical
1472  * elements on each cell?
1473  */
1474 int FN(PW,plain_is_equal)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1475 {
1476         int i;
1477         int equal;
1478
1479         if (!pw1 || !pw2)
1480                 return -1;
1481
1482         if (pw1 == pw2)
1483                 return 1;
1484         if (!isl_space_is_equal(pw1->dim, pw2->dim))
1485                 return 0;
1486
1487         pw1 = FN(PW,copy)(pw1);
1488         pw2 = FN(PW,copy)(pw2);
1489         pw1 = FN(PW,normalize)(pw1);
1490         pw2 = FN(PW,normalize)(pw2);
1491         if (!pw1 || !pw2)
1492                 goto error;
1493
1494         equal = pw1->n == pw2->n;
1495         for (i = 0; equal && i < pw1->n; ++i) {
1496                 equal = isl_set_plain_is_equal(pw1->p[i].set, pw2->p[i].set);
1497                 if (equal < 0)
1498                         goto error;
1499                 if (!equal)
1500                         break;
1501                 equal = FN(EL,plain_is_equal)(pw1->p[i].FIELD, pw2->p[i].FIELD);
1502                 if (equal < 0)
1503                         goto error;
1504         }
1505
1506         FN(PW,free)(pw1);
1507         FN(PW,free)(pw2);
1508         return equal;
1509 error:
1510         FN(PW,free)(pw1);
1511         FN(PW,free)(pw2);
1512         return -1;
1513 }