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,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));
313 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
314 __isl_take isl_point *pnt)
319 isl_dim *pnt_dim = NULL;
324 ctx = isl_point_get_ctx(pnt);
325 pnt_dim = isl_point_get_dim(pnt);
326 isl_assert(ctx, isl_dim_equal(pnt_dim, pw->dim), goto error);
328 for (i = 0; i < pw->n; ++i) {
329 found = isl_set_contains_point(pw->p[i].set, pnt);
336 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
337 isl_point_copy(pnt));
339 qp = isl_qpolynomial_zero(isl_dim_copy(pw->dim));
341 isl_dim_free(pnt_dim);
346 isl_dim_free(pnt_dim);
351 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
359 dom = isl_set_empty(isl_dim_copy(pw->dim));
360 for (i = 0; i < pw->n; ++i)
361 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
368 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw, __isl_take isl_set *set)
384 for (i = pw->n - 1; i >= 0; --i) {
386 pw->p[i].set = isl_set_intersect(pw->p[i].set, isl_set_copy(set));
389 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
390 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
392 if (isl_set_plain_is_empty(pw->p[i].set)) {
393 isl_set_free(pw->p[i].set);
394 FN(EL,free)(pw->p[i].FIELD);
396 pw->p[i] = pw->p[pw->n - 1];
409 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
412 isl_basic_set *hull = NULL;
418 isl_set_free(context);
422 context = isl_set_compute_divs(context);
423 hull = isl_set_simple_hull(isl_set_copy(context));
429 for (i = pw->n - 1; i >= 0; --i) {
430 pw->p[i].set = isl_set_intersect(pw->p[i].set,
431 isl_set_copy(context));
434 pw->p[i].FIELD = FN(EL,gist)(pw->p[i].FIELD,
435 isl_set_copy(pw->p[i].set));
436 pw->p[i].set = isl_set_gist_basic_set(pw->p[i].set,
437 isl_basic_set_copy(hull));
440 if (isl_set_plain_is_empty(pw->p[i].set)) {
441 isl_set_free(pw->p[i].set);
442 FN(EL,free)(pw->p[i].FIELD);
444 pw->p[i] = pw->p[pw->n - 1];
449 isl_basic_set_free(hull);
450 isl_set_free(context);
455 isl_basic_set_free(hull);
456 isl_set_free(context);
460 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
469 for (i = pw->n - 1; i >= 0; --i) {
470 for (j = i - 1; j >= 0; --j) {
471 if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
474 pw->p[j].set = isl_set_union(pw->p[j].set,
476 FN(EL,free)(pw->p[i].FIELD);
478 pw->p[i] = pw->p[pw->n - 1];
484 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
495 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
497 return pw ? isl_dim_get_ctx(pw->dim) : NULL;
500 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
501 unsigned first, unsigned n)
507 if (pw->n == 0 || n == 0)
509 for (i = 0; i < pw->n; ++i) {
510 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
512 if (involves < 0 || involves)
514 involves = isl_set_involves_dims(pw->p[i].set, type, first, n);
515 if (involves < 0 || involves)
521 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
522 enum isl_dim_type type, unsigned pos, const char *s)
530 pw->dim = isl_dim_set_name(pw->dim, type, pos, s);
534 for (i = 0; i < pw->n; ++i) {
535 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set, type, pos, s);
538 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
549 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
550 enum isl_dim_type type, unsigned first, unsigned n)
556 if (n == 0 && !isl_dim_get_tuple_name(pw->dim, type))
562 pw->dim = isl_dim_drop(pw->dim, type, first, n);
565 for (i = 0; i < pw->n; ++i) {
566 pw->p[i].set = isl_set_drop(pw->p[i].set, type, first, n);
569 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
580 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
581 unsigned first, unsigned n)
587 if (n == 0 && !isl_dim_is_named_or_nested(pw->dim, type))
594 pw->dim = isl_dim_insert(pw->dim, type, first, n);
598 for (i = 0; i < pw->n; ++i) {
599 pw->p[i].set = isl_set_insert(pw->p[i].set, type, first, n);
602 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
614 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
615 enum isl_dim_type type, unsigned pos, isl_int v)
625 for (i = 0; i < pw->n; ++i) {
626 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
637 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
639 return pw ? isl_dim_size(pw->dim, type) : 0;
642 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
643 enum isl_dim_type type, unsigned first, unsigned n)
657 for (i = 0; i < pw->n; ++i) {
658 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
669 /* Compute the maximal value attained by the piecewise quasipolynomial
670 * on its domain or zero if the domain is empty.
671 * In the worst case, the domain is scanned completely,
672 * so the domain is assumed to be bounded.
674 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
677 isl_qpolynomial *opt;
683 isl_dim *dim = isl_dim_copy(pw->dim);
685 return isl_qpolynomial_zero(dim);
688 opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
689 isl_set_copy(pw->p[0].set), max);
690 for (i = 1; i < pw->n; ++i) {
691 isl_qpolynomial *opt_i;
692 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
693 isl_set_copy(pw->p[i].set), max);
695 opt = isl_qpolynomial_max_cst(opt, opt_i);
697 opt = isl_qpolynomial_min_cst(opt, opt_i);
704 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
706 return FN(PW,opt)(pw, 1);
709 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
711 return FN(PW,opt)(pw, 0);
714 __isl_give isl_dim *FN(PW,get_dim)(__isl_keep PW *pw)
716 return pw ? isl_dim_copy(pw->dim) : NULL;
719 __isl_give PW *FN(PW,reset_dim)(__isl_take PW *pw, __isl_take isl_dim *dim)
727 for (i = 0; i < pw->n; ++i) {
728 pw->p[i].set = isl_set_reset_dim(pw->p[i].set,
732 pw->p[i].FIELD = FN(EL,reset_dim)(pw->p[i].FIELD,
737 isl_dim_free(pw->dim);
747 int FN(PW,has_equal_dim)(__isl_keep PW *pw1, __isl_keep PW *pw2)
752 return isl_dim_equal(pw1->dim, pw2->dim);
755 __isl_give PW *FN(PW,morph)(__isl_take PW *pw, __isl_take isl_morph *morph)
763 ctx = isl_dim_get_ctx(pw->dim);
764 isl_assert(ctx, isl_dim_equal(pw->dim, morph->dom->dim),
770 isl_dim_free(pw->dim);
771 pw->dim = isl_dim_copy(morph->ran->dim);
775 for (i = 0; i < pw->n; ++i) {
776 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
779 pw->p[i].FIELD = FN(EL,morph)(pw->p[i].FIELD,
780 isl_morph_copy(morph));
785 isl_morph_free(morph);
790 isl_morph_free(morph);
794 int FN(PW,foreach_piece)(__isl_keep PW *pw,
795 int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
803 for (i = 0; i < pw->n; ++i)
804 if (fn(isl_set_copy(pw->p[i].set),
805 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
811 static int any_divs(__isl_keep isl_set *set)
818 for (i = 0; i < set->n; ++i)
819 if (set->p[i]->n_div > 0)
825 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
826 int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
827 void *user), void *user)
834 for (i = 0; i < set->n; ++i) {
838 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
839 lift = isl_set_lift(lift);
841 copy = FN(EL,copy)(el);
842 copy = FN(EL,lift)(copy, isl_set_get_dim(lift));
844 if (fn(lift, copy, user) < 0)
858 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
859 int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
860 void *user), void *user)
867 for (i = 0; i < pw->n; ++i) {
871 set = isl_set_copy(pw->p[i].set);
872 el = FN(EL,copy)(pw->p[i].FIELD);
873 if (!any_divs(set)) {
874 if (fn(set, el, user) < 0)
878 if (foreach_lifted_subset(set, el, fn, user) < 0)
885 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
886 enum isl_dim_type dst_type, unsigned dst_pos,
887 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
895 pw->dim = isl_dim_move(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
899 for (i = 0; i < pw->n; ++i) {
900 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
902 src_type, src_pos, n);
905 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
906 dst_type, dst_pos, src_type, src_pos, n);
917 __isl_give PW *FN(PW,realign)(__isl_take PW *pw, __isl_take isl_reordering *exp)
925 for (i = 0; i < pw->n; ++i) {
926 pw->p[i].set = isl_set_realign(pw->p[i].set,
927 isl_reordering_copy(exp));
930 pw->p[i].FIELD = FN(EL,realign)(pw->p[i].FIELD,
931 isl_reordering_copy(exp));
936 pw = FN(PW,reset_dim)(pw, isl_dim_copy(exp->dim));
938 isl_reordering_free(exp);
941 isl_reordering_free(exp);
946 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
950 if (isl_int_is_one(v))
952 if (pw && isl_int_is_zero(v)) {
954 isl_dim *dim = FN(PW,get_dim)(pw);
956 zero = FN(PW,zero)(dim, pw->type);
958 zero = FN(PW,zero)(dim);
970 if (isl_int_is_neg(v))
971 pw->type = isl_fold_type_negate(pw->type);
973 for (i = 0; i < pw->n; ++i) {
974 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);