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 /* Restrict the domain of "pw" by combining each cell
 649  * with "set" through a call to "fn", where "fn" may be
 650  * isl_set_intersect or isl_set_intersect_params.
 651  */
 652 static __isl_give PW *FN(PW,intersect_aligned)(__isl_take PW *pw,
 653         __isl_take isl_set *set,
 654         __isl_give isl_set *(*fn)(__isl_take isl_set *set1,
 655                                     __isl_take isl_set *set2))
 656 {
 657         int i;
 658
 659         if (!pw || !set)
 660                 goto error;
 661
 662         if (pw->n == 0) {
 663                 isl_set_free(set);
 664                 return pw;
 665         }
 666
 667         pw = FN(PW,cow)(pw);
 668         if (!pw)
 669                 goto error;
 670
 671         for (i = pw->n - 1; i >= 0; --i) {
 672                 isl_basic_set *aff;
 673                 pw->p[i].set = fn(pw->p[i].set, isl_set_copy(set));
 674                 if (!pw->p[i].set)
 675                         goto error;
 676                 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
 677                 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
 678                                                                 aff);
 679                 if (!pw->p[i].FIELD)
 680                         goto error;
 681                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 682                         isl_set_free(pw->p[i].set);
 683                         FN(EL,free)(pw->p[i].FIELD);
 684                         if (i != pw->n - 1)
 685                                 pw->p[i] = pw->p[pw->n - 1];
 686                         pw->n--;
 687                 }
 688         }
 689
 690         isl_set_free(set);
 691         return pw;
 692 error:
 693         isl_set_free(set);
 694         FN(PW,free)(pw);
 695         return NULL;
 696 }
 697
 698 static __isl_give PW *FN(PW,intersect_domain_aligned)(__isl_take PW *pw,
 699         __isl_take isl_set *set)
 700 {
 701         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect);
 702 }
 703
 704 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw,
 705         __isl_take isl_set *context)
 706 {
 707         return FN(PW,align_params_pw_set_and)(pw, context,
 708                                         &FN(PW,intersect_domain_aligned));
 709 }
 710
 711 static __isl_give PW *FN(PW,intersect_params_aligned)(__isl_take PW *pw,
 712         __isl_take isl_set *set)
 713 {
 714         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect_params);
 715 }
 716
 717 /* Intersect the domain of "pw" with the parameter domain "context".
 718  */
 719 __isl_give PW *FN(PW,intersect_params)(__isl_take PW *pw,
 720         __isl_take isl_set *context)
 721 {
 722         return FN(PW,align_params_pw_set_and)(pw, context,
 723                                         &FN(PW,intersect_params_aligned));
 724 }
 725
 726 static __isl_give PW *FN(PW,gist_aligned)(__isl_take PW *pw,
 727         __isl_take isl_set *context)
 728 {
 729         int i;
 730         isl_basic_set *hull = NULL;
 731
 732         if (!pw || !context)
 733                 goto error;
 734
 735         if (pw->n == 0) {
 736                 isl_set_free(context);
 737                 return pw;
 738         }
 739
 740         if (!isl_space_match(pw->dim, isl_dim_param,
 741                                 context->dim, isl_dim_param)) {
 742                 pw = FN(PW,align_params)(pw, isl_set_get_space(context));
 743                 context = isl_set_align_params(context, FN(PW,get_space)(pw));
 744         }
 745
 746         context = isl_set_compute_divs(context);
 747         hull = isl_set_simple_hull(isl_set_copy(context));
 748
 749         pw = FN(PW,cow)(pw);
 750         if (!pw)
 751                 goto error;
 752
 753         for (i = pw->n - 1; i >= 0; --i) {
 754                 pw->p[i].set = isl_set_intersect(pw->p[i].set,
 755                                                  isl_set_copy(context));
 756                 if (!pw->p[i].set)
 757                         goto error;
 758                 pw->p[i].FIELD = FN(EL,gist)(pw->p[i].FIELD,
 759                                              isl_set_copy(pw->p[i].set));
 760                 pw->p[i].set = isl_set_gist_basic_set(pw->p[i].set,
 761                                                 isl_basic_set_copy(hull));
 762                 if (!pw->p[i].set)
 763                         goto error;
 764                 if (isl_set_plain_is_empty(pw->p[i].set)) {
 765                         isl_set_free(pw->p[i].set);
 766                         FN(EL,free)(pw->p[i].FIELD);
 767                         if (i != pw->n - 1)
 768                                 pw->p[i] = pw->p[pw->n - 1];
 769                         pw->n--;
 770                 }
 771         }
 772
 773         isl_basic_set_free(hull);
 774         isl_set_free(context);
 775
 776         return pw;
 777 error:
 778         FN(PW,free)(pw);
 779         isl_basic_set_free(hull);
 780         isl_set_free(context);
 781         return NULL;
 782 }
 783
 784 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
 785 {
 786         return FN(PW,align_params_pw_set_and)(pw, context, &FN(PW,gist_aligned));
 787 }
 788
 789 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
 790 {
 791         int i, j;
 792
 793         if (!pw)
 794                 return NULL;
 795         if (pw->n == 0)
 796                 return pw;
 797
 798         for (i = pw->n - 1; i >= 0; --i) {
 799                 for (j = i - 1; j >= 0; --j) {
 800                         if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
 801                                                         pw->p[j].FIELD))
 802                                 continue;
 803                         pw->p[j].set = isl_set_union(pw->p[j].set,
 804                                                         pw->p[i].set);
 805                         FN(EL,free)(pw->p[i].FIELD);
 806                         if (i != pw->n - 1)
 807                                 pw->p[i] = pw->p[pw->n - 1];
 808                         pw->n--;
 809                         break;
 810                 }
 811                 if (j >= 0)
 812                         continue;
 813                 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
 814                 if (!pw->p[i].set)
 815                         goto error;
 816         }
 817
 818         return pw;
 819 error:
 820         FN(PW,free)(pw);
 821         return NULL;
 822 }
 823
 824 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
 825 {
 826         return pw ? isl_space_get_ctx(pw->dim) : NULL;
 827 }
 828
 829 #ifndef NO_INVOLVES_DIMS
 830 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
 831         unsigned first, unsigned n)
 832 {
 833         int i;
 834         enum isl_dim_type set_type;
 835
 836         if (!pw)
 837                 return -1;
 838         if (pw->n == 0 || n == 0)
 839                 return 0;
 840
 841         set_type = type == isl_dim_in ? isl_dim_set : type;
 842
 843         for (i = 0; i < pw->n; ++i) {
 844                 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
 845                                                         type, first, n);
 846                 if (involves < 0 || involves)
 847                         return involves;
 848                 involves = isl_set_involves_dims(pw->p[i].set,
 849                                                         set_type, first, n);
 850                 if (involves < 0 || involves)
 851                         return involves;
 852         }
 853         return 0;
 854 }
 855 #endif
 856
 857 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
 858         enum isl_dim_type type, unsigned pos, const char *s)
 859 {
 860         int i;
 861         enum isl_dim_type set_type;
 862
 863         pw = FN(PW,cow)(pw);
 864         if (!pw)
 865                 return NULL;
 866
 867         set_type = type == isl_dim_in ? isl_dim_set : type;
 868
 869         pw->dim = isl_space_set_dim_name(pw->dim, type, pos, s);
 870         if (!pw->dim)
 871                 goto error;
 872
 873         for (i = 0; i < pw->n; ++i) {
 874                 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set,
 875                                                         set_type, pos, s);
 876                 if (!pw->p[i].set)
 877                         goto error;
 878                 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
 879                 if (!pw->p[i].FIELD)
 880                         goto error;
 881         }
 882
 883         return pw;
 884 error:
 885         FN(PW,free)(pw);
 886         return NULL;
 887 }
 888
 889 #ifndef NO_DROP_DIMS
 890 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
 891         enum isl_dim_type type, unsigned first, unsigned n)
 892 {
 893         int i;
 894         enum isl_dim_type set_type;
 895
 896         if (!pw)
 897                 return NULL;
 898         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 899                 return pw;
 900
 901         set_type = type == isl_dim_in ? isl_dim_set : type;
 902
 903         pw = FN(PW,cow)(pw);
 904         if (!pw)
 905                 return NULL;
 906         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 907         if (!pw->dim)
 908                 goto error;
 909         for (i = 0; i < pw->n; ++i) {
 910                 pw->p[i].set = isl_set_drop(pw->p[i].set, set_type, first, n);
 911                 if (!pw->p[i].set)
 912                         goto error;
 913                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 914                 if (!pw->p[i].FIELD)
 915                         goto error;
 916         }
 917
 918         return pw;
 919 error:
 920         FN(PW,free)(pw);
 921         return NULL;
 922 }
 923
 924 /* This function is very similar to drop_dims.
 925  * The only difference is that the cells may still involve
 926  * the specified dimensions.  They are removed using
 927  * isl_set_project_out instead of isl_set_drop.
 928  */
 929 __isl_give PW *FN(PW,project_out)(__isl_take PW *pw,
 930         enum isl_dim_type type, unsigned first, unsigned n)
 931 {
 932         int i;
 933         enum isl_dim_type set_type;
 934
 935         if (!pw)
 936                 return NULL;
 937         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
 938                 return pw;
 939
 940         set_type = type == isl_dim_in ? isl_dim_set : type;
 941
 942         pw = FN(PW,cow)(pw);
 943         if (!pw)
 944                 return NULL;
 945         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
 946         if (!pw->dim)
 947                 goto error;
 948         for (i = 0; i < pw->n; ++i) {
 949                 pw->p[i].set = isl_set_project_out(pw->p[i].set,
 950                                                         set_type, first, n);
 951                 if (!pw->p[i].set)
 952                         goto error;
 953                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
 954                 if (!pw->p[i].FIELD)
 955                         goto error;
 956         }
 957
 958         return pw;
 959 error:
 960         FN(PW,free)(pw);
 961         return NULL;
 962 }
 963
 964 /* Project the domain of pw onto its parameter space.
 965  */
 966 __isl_give PW *FN(PW,project_domain_on_params)(__isl_take PW *pw)
 967 {
 968         isl_space *space;
 969         unsigned n;
 970
 971         n = FN(PW,dim)(pw, isl_dim_in);
 972         pw = FN(PW,project_out)(pw, isl_dim_in, 0, n);
 973         space = FN(PW,get_domain_space)(pw);
 974         space = isl_space_params(space);
 975         pw = FN(PW,reset_domain_space)(pw, space);
 976         return pw;
 977 }
 978 #endif
 979
 980 #ifndef NO_INSERT_DIMS
 981 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
 982         unsigned first, unsigned n)
 983 {
 984         int i;
 985         enum isl_dim_type set_type;
 986
 987         if (!pw)
 988                 return NULL;
 989         if (n == 0 && !isl_space_is_named_or_nested(pw->dim, type))
 990                 return pw;
 991
 992         set_type = type == isl_dim_in ? isl_dim_set : type;
 993
 994         pw = FN(PW,cow)(pw);
 995         if (!pw)
 996                 return NULL;
 997
 998         pw->dim = isl_space_insert_dims(pw->dim, type, first, n);
 999         if (!pw->dim)
1000                 goto error;
1001
1002         for (i = 0; i < pw->n; ++i) {
1003                 pw->p[i].set = isl_set_insert_dims(pw->p[i].set,
1004                                                             set_type, first, n);
1005                 if (!pw->p[i].set)
1006                         goto error;
1007                 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
1008                                                                 type, first, n);
1009                 if (!pw->p[i].FIELD)
1010                         goto error;
1011         }
1012
1013         return pw;
1014 error:
1015         FN(PW,free)(pw);
1016         return NULL;
1017 }
1018 #endif
1019
1020 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
1021         enum isl_dim_type type, unsigned pos, isl_int v)
1022 {
1023         int i;
1024
1025         if (!pw)
1026                 return NULL;
1027
1028         if (type == isl_dim_in)
1029                 type = isl_dim_set;
1030
1031         pw = FN(PW,cow)(pw);
1032         if (!pw)
1033                 return NULL;
1034         for (i = 0; i < pw->n; ++i) {
1035                 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
1036                 if (!pw->p[i].set)
1037                         goto error;
1038         }
1039
1040         return pw;
1041 error:
1042         FN(PW,free)(pw);
1043         return NULL;
1044 }
1045
1046 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
1047 {
1048         return pw ? isl_space_dim(pw->dim, type) : 0;
1049 }
1050
1051 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
1052         enum isl_dim_type type, unsigned first, unsigned n)
1053 {
1054         int i;
1055
1056         if (!pw)
1057                 return NULL;
1058         if (n == 0)
1059                 return pw;
1060
1061         if (type == isl_dim_in)
1062                 type = isl_dim_set;
1063
1064         pw = FN(PW,cow)(pw);
1065         if (!pw)
1066                 return NULL;
1067         if (!pw->dim)
1068                 goto error;
1069         for (i = 0; i < pw->n; ++i) {
1070                 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
1071                 if (!pw->p[i].set)
1072                         goto error;
1073         }
1074
1075         return pw;
1076 error:
1077         FN(PW,free)(pw);
1078         return NULL;
1079 }
1080
1081 #ifndef NO_OPT
1082 /* Compute the maximal value attained by the piecewise quasipolynomial
1083  * on its domain or zero if the domain is empty.
1084  * In the worst case, the domain is scanned completely,
1085  * so the domain is assumed to be bounded.
1086  */
1087 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
1088 {
1089         int i;
1090         isl_qpolynomial *opt;
1091
1092         if (!pw)
1093                 return NULL;
1094
1095         if (pw->n == 0) {
1096                 isl_space *dim = isl_space_copy(pw->dim);
1097                 FN(PW,free)(pw);
1098                 return isl_qpolynomial_zero_on_domain(isl_space_domain(dim));
1099         }
1100
1101         opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
1102                                         isl_set_copy(pw->p[0].set), max);
1103         for (i = 1; i < pw->n; ++i) {
1104                 isl_qpolynomial *opt_i;
1105                 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
1106                                                 isl_set_copy(pw->p[i].set), max);
1107                 if (max)
1108                         opt = isl_qpolynomial_max_cst(opt, opt_i);
1109                 else
1110                         opt = isl_qpolynomial_min_cst(opt, opt_i);
1111         }
1112
1113         FN(PW,free)(pw);
1114         return opt;
1115 }
1116
1117 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
1118 {
1119         return FN(PW,opt)(pw, 1);
1120 }
1121
1122 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
1123 {
1124         return FN(PW,opt)(pw, 0);
1125 }
1126 #endif
1127
1128 __isl_give isl_space *FN(PW,get_space)(__isl_keep PW *pw)
1129 {
1130         return pw ? isl_space_copy(pw->dim) : NULL;
1131 }
1132
1133 __isl_give isl_space *FN(PW,get_domain_space)(__isl_keep PW *pw)
1134 {
1135         return pw ? isl_space_domain(isl_space_copy(pw->dim)) : NULL;
1136 }
1137
1138 #ifndef NO_RESET_DIM
1139 /* Reset the space of "pw".  Since we don't know if the elements
1140  * represent the spaces themselves or their domains, we pass along
1141  * both when we call their reset_space_and_domain.
1142  */
1143 static __isl_give PW *FN(PW,reset_space_and_domain)(__isl_take PW *pw,
1144         __isl_take isl_space *space, __isl_take isl_space *domain)
1145 {
1146         int i;
1147
1148         pw = FN(PW,cow)(pw);
1149         if (!pw || !space || !domain)
1150                 goto error;
1151
1152         for (i = 0; i < pw->n; ++i) {
1153                 pw->p[i].set = isl_set_reset_space(pw->p[i].set,
1154                                                  isl_space_copy(domain));
1155                 if (!pw->p[i].set)
1156                         goto error;
1157                 pw->p[i].FIELD = FN(EL,reset_space_and_domain)(pw->p[i].FIELD,
1158                               isl_space_copy(space), isl_space_copy(domain));
1159                 if (!pw->p[i].FIELD)
1160                         goto error;
1161         }
1162
1163         isl_space_free(domain);
1164
1165         isl_space_free(pw->dim);
1166         pw->dim = space;
1167
1168         return pw;
1169 error:
1170         isl_space_free(domain);
1171         isl_space_free(space);
1172         FN(PW,free)(pw);
1173         return NULL;
1174 }
1175
1176 __isl_give PW *FN(PW,reset_domain_space)(__isl_take PW *pw,
1177         __isl_take isl_space *domain)
1178 {
1179         isl_space *space;
1180
1181         space = isl_space_extend_domain_with_range(isl_space_copy(domain),
1182                                                    FN(PW,get_space)(pw));
1183         return FN(PW,reset_space_and_domain)(pw, space, domain);
1184 }
1185
1186 __isl_give PW *FN(PW,reset_space)(__isl_take PW *pw, __isl_take isl_space *dim)
1187 {
1188         isl_space *domain;
1189
1190         domain = isl_space_domain(isl_space_copy(dim));
1191         return FN(PW,reset_space_and_domain)(pw, dim, domain);
1192 }
1193
1194 __isl_give PW *FN(PW,set_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type,
1195         __isl_take isl_id *id)
1196 {
1197         isl_space *space;
1198
1199         pw = FN(PW,cow)(pw);
1200         if (!pw)
1201                 return isl_id_free(id);
1202
1203         space = FN(PW,get_space)(pw);
1204         space = isl_space_set_tuple_id(space, type, id);
1205
1206         return FN(PW,reset_space)(pw, space);
1207 }
1208
1209 __isl_give PW *FN(PW,set_dim_id)(__isl_take PW *pw,
1210         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
1211 {
1212         pw = FN(PW,cow)(pw);
1213         if (!pw)
1214                 return isl_id_free(id);
1215         pw->dim = isl_space_set_dim_id(pw->dim, type, pos, id);
1216         return FN(PW,reset_space)(pw, isl_space_copy(pw->dim));
1217 }
1218 #endif
1219
1220 int FN(PW,has_equal_space)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1221 {
1222         if (!pw1 || !pw2)
1223                 return -1;
1224
1225         return isl_space_is_equal(pw1->dim, pw2->dim);
1226 }
1227
1228 #ifndef NO_MORPH
1229 __isl_give PW *FN(PW,morph_domain)(__isl_take PW *pw,
1230         __isl_take isl_morph *morph)
1231 {
1232         int i;
1233         isl_ctx *ctx;
1234
1235         if (!pw || !morph)
1236                 goto error;
1237
1238         ctx = isl_space_get_ctx(pw->dim);
1239         isl_assert(ctx, isl_space_is_domain(morph->dom->dim, pw->dim),
1240                 goto error);
1241
1242         pw = FN(PW,cow)(pw);
1243         if (!pw)
1244                 goto error;
1245         pw->dim = isl_space_extend_domain_with_range(
1246                         isl_space_copy(morph->ran->dim), pw->dim);
1247         if (!pw->dim)
1248                 goto error;
1249
1250         for (i = 0; i < pw->n; ++i) {
1251                 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
1252                 if (!pw->p[i].set)
1253                         goto error;
1254                 pw->p[i].FIELD = FN(EL,morph_domain)(pw->p[i].FIELD,
1255                                                 isl_morph_copy(morph));
1256                 if (!pw->p[i].FIELD)
1257                         goto error;
1258         }
1259
1260         isl_morph_free(morph);
1261
1262         return pw;
1263 error:
1264         FN(PW,free)(pw);
1265         isl_morph_free(morph);
1266         return NULL;
1267 }
1268 #endif
1269
1270 int FN(PW,foreach_piece)(__isl_keep PW *pw,
1271         int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
1272         void *user)
1273 {
1274         int i;
1275
1276         if (!pw)
1277                 return -1;
1278
1279         for (i = 0; i < pw->n; ++i)
1280                 if (fn(isl_set_copy(pw->p[i].set),
1281                                 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
1282                         return -1;
1283
1284         return 0;
1285 }
1286
1287 #ifndef NO_LIFT
1288 static int any_divs(__isl_keep isl_set *set)
1289 {
1290         int i;
1291
1292         if (!set)
1293                 return -1;
1294
1295         for (i = 0; i < set->n; ++i)
1296                 if (set->p[i]->n_div > 0)
1297                         return 1;
1298
1299         return 0;
1300 }
1301
1302 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
1303         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1304                     void *user), void *user)
1305 {
1306         int i;
1307
1308         if (!set || !el)
1309                 goto error;
1310
1311         for (i = 0; i < set->n; ++i) {
1312                 isl_set *lift;
1313                 EL *copy;
1314
1315                 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
1316                 lift = isl_set_lift(lift);
1317
1318                 copy = FN(EL,copy)(el);
1319                 copy = FN(EL,lift)(copy, isl_set_get_space(lift));
1320
1321                 if (fn(lift, copy, user) < 0)
1322                         goto error;
1323         }
1324
1325         isl_set_free(set);
1326         FN(EL,free)(el);
1327
1328         return 0;
1329 error:
1330         isl_set_free(set);
1331         FN(EL,free)(el);
1332         return -1;
1333 }
1334
1335 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
1336         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1337                     void *user), void *user)
1338 {
1339         int i;
1340
1341         if (!pw)
1342                 return -1;
1343
1344         for (i = 0; i < pw->n; ++i) {
1345                 isl_set *set;
1346                 EL *el;
1347
1348                 set = isl_set_copy(pw->p[i].set);
1349                 el = FN(EL,copy)(pw->p[i].FIELD);
1350                 if (!any_divs(set)) {
1351                         if (fn(set, el, user) < 0)
1352                                 return -1;
1353                         continue;
1354                 }
1355                 if (foreach_lifted_subset(set, el, fn, user) < 0)
1356                         return -1;
1357         }
1358
1359         return 0;
1360 }
1361 #endif
1362
1363 #ifndef NO_MOVE_DIMS
1364 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
1365         enum isl_dim_type dst_type, unsigned dst_pos,
1366         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1367 {
1368         int i;
1369
1370         pw = FN(PW,cow)(pw);
1371         if (!pw)
1372                 return NULL;
1373
1374         pw->dim = isl_space_move_dims(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
1375         if (!pw->dim)
1376                 goto error;
1377
1378         for (i = 0; i < pw->n; ++i) {
1379                 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
1380                                         dst_type, dst_pos, src_type, src_pos, n);
1381                 if (!pw->p[i].FIELD)
1382                         goto error;
1383         }
1384
1385         if (dst_type == isl_dim_in)
1386                 dst_type = isl_dim_set;
1387         if (src_type == isl_dim_in)
1388                 src_type = isl_dim_set;
1389
1390         for (i = 0; i < pw->n; ++i) {
1391                 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
1392                                                 dst_type, dst_pos,
1393                                                 src_type, src_pos, n);
1394                 if (!pw->p[i].set)
1395                         goto error;
1396         }
1397
1398         return pw;
1399 error:
1400         FN(PW,free)(pw);
1401         return NULL;
1402 }
1403 #endif
1404
1405 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
1406 {
1407         int i;
1408
1409         if (isl_int_is_one(v))
1410                 return pw;
1411         if (pw && isl_int_is_zero(v)) {
1412                 PW *zero;
1413                 isl_space *dim = FN(PW,get_space)(pw);
1414 #ifdef HAS_TYPE
1415                 zero = FN(PW,ZERO)(dim, pw->type);
1416 #else
1417                 zero = FN(PW,ZERO)(dim);
1418 #endif
1419                 FN(PW,free)(pw);
1420                 return zero;
1421         }
1422         pw = FN(PW,cow)(pw);
1423         if (!pw)
1424                 return NULL;
1425         if (pw->n == 0)
1426                 return pw;
1427
1428 #ifdef HAS_TYPE
1429         if (isl_int_is_neg(v))
1430                 pw->type = isl_fold_type_negate(pw->type);
1431 #endif
1432         for (i = 0; i < pw->n; ++i) {
1433                 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);
1434                 if (!pw->p[i].FIELD)
1435                         goto error;
1436         }
1437
1438         return pw;
1439 error:
1440         FN(PW,free)(pw);
1441         return NULL;
1442 }
1443
1444 __isl_give PW *FN(PW,scale)(__isl_take PW *pw, isl_int v)
1445 {
1446         return FN(PW,mul_isl_int)(pw, v);
1447 }
1448
1449 static int FN(PW,qsort_set_cmp)(const void *p1, const void *p2)
1450 {
1451         const isl_set *set1 = *(const isl_set **)p1;
1452         const isl_set *set2 = *(const isl_set **)p2;
1453
1454         return isl_set_plain_cmp(set1, set2);
1455 }
1456
1457 /* We normalize in place, but if anything goes wrong we need
1458  * to return NULL, so we need to make sure we don't change the
1459  * meaning of any possible other copies of map.
1460  */
1461 __isl_give PW *FN(PW,normalize)(__isl_take PW *pw)
1462 {
1463         int i, j;
1464         isl_set *set;
1465
1466         if (!pw)
1467                 return NULL;
1468         for (i = 0; i < pw->n; ++i) {
1469                 set = isl_set_normalize(isl_set_copy(pw->p[i].set));
1470                 if (!set)
1471                         return FN(PW,free)(pw);
1472                 isl_set_free(pw->p[i].set);
1473                 pw->p[i].set = set;
1474         }
1475         qsort(pw->p, pw->n, sizeof(pw->p[0]), &FN(PW,qsort_set_cmp));
1476         for (i = pw->n - 1; i >= 1; --i) {
1477                 if (!isl_set_plain_is_equal(pw->p[i - 1].set, pw->p[i].set))
1478                         continue;
1479                 if (!FN(EL,plain_is_equal)(pw->p[i - 1].FIELD, pw->p[i].FIELD))
1480                         continue;
1481                 set = isl_set_union(isl_set_copy(pw->p[i - 1].set),
1482                                     isl_set_copy(pw->p[i].set));
1483                 if (!set)
1484                         return FN(PW,free)(pw);
1485                 isl_set_free(pw->p[i].set);
1486                 FN(EL,free)(pw->p[i].FIELD);
1487                 isl_set_free(pw->p[i - 1].set);
1488                 pw->p[i - 1].set = set;
1489                 for (j = i + 1; j < pw->n; ++j)
1490                         pw->p[j - 1] = pw->p[j];
1491                 pw->n--;
1492         }
1493
1494         return pw;
1495 }
1496
1497 /* Is pw1 obviously equal to pw2?
1498  * That is, do they have obviously identical cells and obviously identical
1499  * elements on each cell?
1500  */
1501 int FN(PW,plain_is_equal)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1502 {
1503         int i;
1504         int equal;
1505
1506         if (!pw1 || !pw2)
1507                 return -1;
1508
1509         if (pw1 == pw2)
1510                 return 1;
1511         if (!isl_space_is_equal(pw1->dim, pw2->dim))
1512                 return 0;
1513
1514         pw1 = FN(PW,copy)(pw1);
1515         pw2 = FN(PW,copy)(pw2);
1516         pw1 = FN(PW,normalize)(pw1);
1517         pw2 = FN(PW,normalize)(pw2);
1518         if (!pw1 || !pw2)
1519                 goto error;
1520
1521         equal = pw1->n == pw2->n;
1522         for (i = 0; equal && i < pw1->n; ++i) {
1523                 equal = isl_set_plain_is_equal(pw1->p[i].set, pw2->p[i].set);
1524                 if (equal < 0)
1525                         goto error;
1526                 if (!equal)
1527                         break;
1528                 equal = FN(EL,plain_is_equal)(pw1->p[i].FIELD, pw2->p[i].FIELD);
1529                 if (equal < 0)
1530                         goto error;
1531         }
1532
1533         FN(PW,free)(pw1);
1534         FN(PW,free)(pw2);
1535         return equal;
1536 error:
1537         FN(PW,free)(pw1);
1538         FN(PW,free)(pw2);
1539         return -1;
1540 }