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)
7 static __isl_give PW *FN(PW,alloc_)(__isl_take isl_dim *dim,
8 enum isl_fold type, int n)
10 static __isl_give PW *FN(PW,alloc_)(__isl_take isl_dim *dim, int n)
18 ctx = isl_dim_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)));
39 __isl_give PW *FN(PW,ZERO)(__isl_take isl_dim *dim, enum isl_fold type)
41 return FN(PW,alloc_)(dim, type, 0);
44 __isl_give PW *FN(PW,ZERO)(__isl_take isl_dim *dim)
46 return FN(PW,alloc_)(dim, 0);
50 __isl_give PW *FN(PW,add_piece)(__isl_take PW *pw,
51 __isl_take isl_set *set, __isl_take EL *el)
54 isl_dim *el_dim = NULL;
56 if (!pw || !set || !el)
59 if (isl_set_plain_is_empty(set) || FN(EL,EL_IS_ZERO)(el)) {
65 ctx = isl_set_get_ctx(set);
67 if (pw->type != el->type)
68 isl_die(ctx, isl_error_invalid, "fold types don't match",
71 el_dim = FN(EL,get_dim(el));
72 isl_assert(ctx, isl_dim_equal(pw->dim, el_dim), goto error);
73 isl_assert(ctx, pw->n < pw->size, goto error);
75 pw->p[pw->n].set = set;
76 pw->p[pw->n].FIELD = el;
90 __isl_give PW *FN(PW,alloc)(enum isl_fold type,
91 __isl_take isl_set *set, __isl_take EL *el)
93 __isl_give PW *FN(PW,alloc)(__isl_take isl_set *set, __isl_take EL *el)
102 pw = FN(PW,alloc_)(isl_set_get_dim(set), type, 1);
104 pw = FN(PW,alloc_)(isl_set_get_dim(set), 1);
107 return FN(PW,add_piece)(pw, set, el);
114 __isl_give PW *FN(PW,dup)(__isl_keep PW *pw)
123 dup = FN(PW,alloc_)(isl_dim_copy(pw->dim), pw->type, pw->n);
125 dup = FN(PW,alloc_)(isl_dim_copy(pw->dim), pw->n);
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));
137 __isl_give PW *FN(PW,cow)(__isl_take PW *pw)
145 return FN(PW,dup)(pw);
148 __isl_give PW *FN(PW,copy)(__isl_keep PW *pw)
157 void *FN(PW,free)(__isl_take PW *pw)
166 for (i = 0; i < pw->n; ++i) {
167 isl_set_free(pw->p[i].set);
168 FN(EL,free)(pw->p[i].FIELD);
170 isl_dim_free(pw->dim);
176 int FN(PW,IS_ZERO)(__isl_keep PW *pw)
184 __isl_give PW *FN(PW,add)(__isl_take PW *pw1, __isl_take PW *pw2)
194 ctx = isl_dim_get_ctx(pw1->dim);
196 if (pw1->type != pw2->type)
197 isl_die(ctx, isl_error_invalid,
198 "fold types don't match", goto error);
200 isl_assert(ctx, isl_dim_equal(pw1->dim, pw2->dim), goto error);
202 if (FN(PW,IS_ZERO)(pw1)) {
207 if (FN(PW,IS_ZERO)(pw2)) {
212 n = (pw1->n + 1) * (pw2->n + 1);
214 res = FN(PW,alloc_)(isl_dim_copy(pw1->dim), pw1->type, n);
216 res = FN(PW,alloc_)(isl_dim_copy(pw1->dim), n);
219 for (i = 0; i < pw1->n; ++i) {
220 set = isl_set_copy(pw1->p[i].set);
221 for (j = 0; j < pw2->n; ++j) {
222 struct isl_set *common;
224 set = isl_set_subtract(set,
225 isl_set_copy(pw2->p[j].set));
226 common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
227 isl_set_copy(pw2->p[j].set));
228 if (isl_set_plain_is_empty(common)) {
229 isl_set_free(common);
233 sum = FN(EL,add_on_domain)(common,
234 FN(EL,copy)(pw1->p[i].FIELD),
235 FN(EL,copy)(pw2->p[j].FIELD));
237 res = FN(PW,add_piece)(res, common, sum);
239 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw1->p[i].FIELD));
242 for (j = 0; j < pw2->n; ++j) {
243 set = isl_set_copy(pw2->p[j].set);
244 for (i = 0; i < pw1->n; ++i)
245 set = isl_set_subtract(set,
246 isl_set_copy(pw1->p[i].set));
247 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw2->p[j].FIELD));
260 __isl_give PW *FN(PW,add_disjoint)(__isl_take PW *pw1, __isl_take PW *pw2)
269 ctx = isl_dim_get_ctx(pw1->dim);
271 if (pw1->type != pw2->type)
272 isl_die(ctx, isl_error_invalid,
273 "fold types don't match", goto error);
275 isl_assert(ctx, isl_dim_equal(pw1->dim, pw2->dim), goto error);
277 if (FN(PW,IS_ZERO)(pw1)) {
282 if (FN(PW,IS_ZERO)(pw2)) {
288 res = FN(PW,alloc_)(isl_dim_copy(pw1->dim), pw1->type, pw1->n + pw2->n);
290 res = FN(PW,alloc_)(isl_dim_copy(pw1->dim), pw1->n + pw2->n);
293 for (i = 0; i < pw1->n; ++i)
294 res = FN(PW,add_piece)(res,
295 isl_set_copy(pw1->p[i].set),
296 FN(EL,copy)(pw1->p[i].FIELD));
298 for (i = 0; i < pw2->n; ++i)
299 res = FN(PW,add_piece)(res,
300 isl_set_copy(pw2->p[i].set),
301 FN(EL,copy)(pw2->p[i].FIELD));
314 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
315 __isl_take isl_point *pnt)
320 isl_dim *pnt_dim = NULL;
325 ctx = isl_point_get_ctx(pnt);
326 pnt_dim = isl_point_get_dim(pnt);
327 isl_assert(ctx, isl_dim_equal(pnt_dim, pw->dim), goto error);
329 for (i = 0; i < pw->n; ++i) {
330 found = isl_set_contains_point(pw->p[i].set, pnt);
337 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
338 isl_point_copy(pnt));
340 qp = isl_qpolynomial_zero(isl_dim_copy(pw->dim));
342 isl_dim_free(pnt_dim);
347 isl_dim_free(pnt_dim);
353 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
361 dom = isl_set_empty(isl_dim_copy(pw->dim));
362 for (i = 0; i < pw->n; ++i)
363 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
370 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw, __isl_take isl_set *set)
386 for (i = pw->n - 1; i >= 0; --i) {
388 pw->p[i].set = isl_set_intersect(pw->p[i].set, isl_set_copy(set));
391 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
392 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
394 if (isl_set_plain_is_empty(pw->p[i].set)) {
395 isl_set_free(pw->p[i].set);
396 FN(EL,free)(pw->p[i].FIELD);
398 pw->p[i] = pw->p[pw->n - 1];
411 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
414 isl_basic_set *hull = NULL;
420 isl_set_free(context);
424 context = isl_set_compute_divs(context);
425 hull = isl_set_simple_hull(isl_set_copy(context));
431 for (i = pw->n - 1; i >= 0; --i) {
432 pw->p[i].set = isl_set_intersect(pw->p[i].set,
433 isl_set_copy(context));
436 pw->p[i].FIELD = FN(EL,gist)(pw->p[i].FIELD,
437 isl_set_copy(pw->p[i].set));
438 pw->p[i].set = isl_set_gist_basic_set(pw->p[i].set,
439 isl_basic_set_copy(hull));
442 if (isl_set_plain_is_empty(pw->p[i].set)) {
443 isl_set_free(pw->p[i].set);
444 FN(EL,free)(pw->p[i].FIELD);
446 pw->p[i] = pw->p[pw->n - 1];
451 isl_basic_set_free(hull);
452 isl_set_free(context);
457 isl_basic_set_free(hull);
458 isl_set_free(context);
462 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
471 for (i = pw->n - 1; i >= 0; --i) {
472 for (j = i - 1; j >= 0; --j) {
473 if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
476 pw->p[j].set = isl_set_union(pw->p[j].set,
478 FN(EL,free)(pw->p[i].FIELD);
480 pw->p[i] = pw->p[pw->n - 1];
486 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
497 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
499 return pw ? isl_dim_get_ctx(pw->dim) : NULL;
502 #ifndef NO_INVOLVES_DIMS
503 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
504 unsigned first, unsigned n)
510 if (pw->n == 0 || n == 0)
512 for (i = 0; i < pw->n; ++i) {
513 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
515 if (involves < 0 || involves)
517 involves = isl_set_involves_dims(pw->p[i].set, type, first, n);
518 if (involves < 0 || involves)
525 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
526 enum isl_dim_type type, unsigned pos, const char *s)
534 pw->dim = isl_dim_set_name(pw->dim, type, pos, s);
538 for (i = 0; i < pw->n; ++i) {
539 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set, type, pos, s);
542 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
554 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
555 enum isl_dim_type type, unsigned first, unsigned n)
561 if (n == 0 && !isl_dim_get_tuple_name(pw->dim, type))
567 pw->dim = isl_dim_drop(pw->dim, type, first, n);
570 for (i = 0; i < pw->n; ++i) {
571 pw->p[i].set = isl_set_drop(pw->p[i].set, type, first, n);
574 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
586 #ifndef NO_INSERT_DIMS
587 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
588 unsigned first, unsigned n)
594 if (n == 0 && !isl_dim_is_named_or_nested(pw->dim, type))
601 pw->dim = isl_dim_insert(pw->dim, type, first, n);
605 for (i = 0; i < pw->n; ++i) {
606 pw->p[i].set = isl_set_insert(pw->p[i].set, type, first, n);
609 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
622 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
623 enum isl_dim_type type, unsigned pos, isl_int v)
633 for (i = 0; i < pw->n; ++i) {
634 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
645 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
647 return pw ? isl_dim_size(pw->dim, type) : 0;
650 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
651 enum isl_dim_type type, unsigned first, unsigned n)
665 for (i = 0; i < pw->n; ++i) {
666 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
678 /* Compute the maximal value attained by the piecewise quasipolynomial
679 * on its domain or zero if the domain is empty.
680 * In the worst case, the domain is scanned completely,
681 * so the domain is assumed to be bounded.
683 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
686 isl_qpolynomial *opt;
692 isl_dim *dim = isl_dim_copy(pw->dim);
694 return isl_qpolynomial_zero(dim);
697 opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
698 isl_set_copy(pw->p[0].set), max);
699 for (i = 1; i < pw->n; ++i) {
700 isl_qpolynomial *opt_i;
701 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
702 isl_set_copy(pw->p[i].set), max);
704 opt = isl_qpolynomial_max_cst(opt, opt_i);
706 opt = isl_qpolynomial_min_cst(opt, opt_i);
713 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
715 return FN(PW,opt)(pw, 1);
718 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
720 return FN(PW,opt)(pw, 0);
724 __isl_give isl_dim *FN(PW,get_dim)(__isl_keep PW *pw)
726 return pw ? isl_dim_copy(pw->dim) : NULL;
730 __isl_give PW *FN(PW,reset_dim)(__isl_take PW *pw, __isl_take isl_dim *dim)
738 for (i = 0; i < pw->n; ++i) {
739 pw->p[i].set = isl_set_reset_dim(pw->p[i].set,
743 pw->p[i].FIELD = FN(EL,reset_dim)(pw->p[i].FIELD,
748 isl_dim_free(pw->dim);
759 int FN(PW,has_equal_dim)(__isl_keep PW *pw1, __isl_keep PW *pw2)
764 return isl_dim_equal(pw1->dim, pw2->dim);
768 __isl_give PW *FN(PW,morph)(__isl_take PW *pw, __isl_take isl_morph *morph)
776 ctx = isl_dim_get_ctx(pw->dim);
777 isl_assert(ctx, isl_dim_equal(pw->dim, morph->dom->dim),
783 isl_dim_free(pw->dim);
784 pw->dim = isl_dim_copy(morph->ran->dim);
788 for (i = 0; i < pw->n; ++i) {
789 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
792 pw->p[i].FIELD = FN(EL,morph)(pw->p[i].FIELD,
793 isl_morph_copy(morph));
798 isl_morph_free(morph);
803 isl_morph_free(morph);
808 int FN(PW,foreach_piece)(__isl_keep PW *pw,
809 int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
817 for (i = 0; i < pw->n; ++i)
818 if (fn(isl_set_copy(pw->p[i].set),
819 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
826 static int any_divs(__isl_keep isl_set *set)
833 for (i = 0; i < set->n; ++i)
834 if (set->p[i]->n_div > 0)
840 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
841 int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
842 void *user), void *user)
849 for (i = 0; i < set->n; ++i) {
853 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
854 lift = isl_set_lift(lift);
856 copy = FN(EL,copy)(el);
857 copy = FN(EL,lift)(copy, isl_set_get_dim(lift));
859 if (fn(lift, copy, user) < 0)
873 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
874 int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
875 void *user), void *user)
882 for (i = 0; i < pw->n; ++i) {
886 set = isl_set_copy(pw->p[i].set);
887 el = FN(EL,copy)(pw->p[i].FIELD);
888 if (!any_divs(set)) {
889 if (fn(set, el, user) < 0)
893 if (foreach_lifted_subset(set, el, fn, user) < 0)
902 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
903 enum isl_dim_type dst_type, unsigned dst_pos,
904 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
912 pw->dim = isl_dim_move(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
916 for (i = 0; i < pw->n; ++i) {
917 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
919 src_type, src_pos, n);
922 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
923 dst_type, dst_pos, src_type, src_pos, n);
936 __isl_give PW *FN(PW,realign)(__isl_take PW *pw, __isl_take isl_reordering *exp)
944 for (i = 0; i < pw->n; ++i) {
945 pw->p[i].set = isl_set_realign(pw->p[i].set,
946 isl_reordering_copy(exp));
949 pw->p[i].FIELD = FN(EL,realign)(pw->p[i].FIELD,
950 isl_reordering_copy(exp));
955 pw = FN(PW,reset_dim)(pw, isl_dim_copy(exp->dim));
957 isl_reordering_free(exp);
960 isl_reordering_free(exp);
966 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
970 if (isl_int_is_one(v))
972 if (pw && isl_int_is_zero(v)) {
974 isl_dim *dim = FN(PW,get_dim)(pw);
976 zero = FN(PW,ZERO)(dim, pw->type);
978 zero = FN(PW,ZERO)(dim);
990 if (isl_int_is_neg(v))
991 pw->type = isl_fold_type_negate(pw->type);
993 for (i = 0; i < pw->n; ++i) {
994 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);