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 PW *FN(PW,neg)(__isl_take PW *pw)
321 if (FN(PW,IS_ZERO)(pw))
328 for (i = 0; i < pw->n; ++i) {
329 pw->p[i].FIELD = FN(EL,neg)(pw->p[i].FIELD);
331 return FN(PW,free)(pw);
337 __isl_give PW *FN(PW,sub)(__isl_take PW *pw1, __isl_take PW *pw2)
339 return FN(PW,add)(pw1, FN(PW,neg)(pw2));
344 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
345 __isl_take isl_point *pnt)
350 isl_dim *pnt_dim = NULL;
355 ctx = isl_point_get_ctx(pnt);
356 pnt_dim = isl_point_get_dim(pnt);
357 isl_assert(ctx, isl_dim_equal(pnt_dim, pw->dim), goto error);
359 for (i = 0; i < pw->n; ++i) {
360 found = isl_set_contains_point(pw->p[i].set, pnt);
367 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
368 isl_point_copy(pnt));
370 qp = isl_qpolynomial_zero(isl_dim_copy(pw->dim));
372 isl_dim_free(pnt_dim);
377 isl_dim_free(pnt_dim);
383 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
391 dom = isl_set_empty(isl_dim_copy(pw->dim));
392 for (i = 0; i < pw->n; ++i)
393 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
400 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw, __isl_take isl_set *set)
416 for (i = pw->n - 1; i >= 0; --i) {
418 pw->p[i].set = isl_set_intersect(pw->p[i].set, isl_set_copy(set));
421 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
422 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
424 if (isl_set_plain_is_empty(pw->p[i].set)) {
425 isl_set_free(pw->p[i].set);
426 FN(EL,free)(pw->p[i].FIELD);
428 pw->p[i] = pw->p[pw->n - 1];
441 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
444 isl_basic_set *hull = NULL;
450 isl_set_free(context);
454 context = isl_set_compute_divs(context);
455 hull = isl_set_simple_hull(isl_set_copy(context));
461 for (i = pw->n - 1; i >= 0; --i) {
462 pw->p[i].set = isl_set_intersect(pw->p[i].set,
463 isl_set_copy(context));
466 pw->p[i].FIELD = FN(EL,gist)(pw->p[i].FIELD,
467 isl_set_copy(pw->p[i].set));
468 pw->p[i].set = isl_set_gist_basic_set(pw->p[i].set,
469 isl_basic_set_copy(hull));
472 if (isl_set_plain_is_empty(pw->p[i].set)) {
473 isl_set_free(pw->p[i].set);
474 FN(EL,free)(pw->p[i].FIELD);
476 pw->p[i] = pw->p[pw->n - 1];
481 isl_basic_set_free(hull);
482 isl_set_free(context);
487 isl_basic_set_free(hull);
488 isl_set_free(context);
492 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
501 for (i = pw->n - 1; i >= 0; --i) {
502 for (j = i - 1; j >= 0; --j) {
503 if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
506 pw->p[j].set = isl_set_union(pw->p[j].set,
508 FN(EL,free)(pw->p[i].FIELD);
510 pw->p[i] = pw->p[pw->n - 1];
516 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
527 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
529 return pw ? isl_dim_get_ctx(pw->dim) : NULL;
532 #ifndef NO_INVOLVES_DIMS
533 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
534 unsigned first, unsigned n)
540 if (pw->n == 0 || n == 0)
542 for (i = 0; i < pw->n; ++i) {
543 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
545 if (involves < 0 || involves)
547 involves = isl_set_involves_dims(pw->p[i].set, type, first, n);
548 if (involves < 0 || involves)
555 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
556 enum isl_dim_type type, unsigned pos, const char *s)
564 pw->dim = isl_dim_set_name(pw->dim, type, pos, s);
568 for (i = 0; i < pw->n; ++i) {
569 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set, type, pos, s);
572 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
584 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
585 enum isl_dim_type type, unsigned first, unsigned n)
591 if (n == 0 && !isl_dim_get_tuple_name(pw->dim, type))
597 pw->dim = isl_dim_drop(pw->dim, type, first, n);
600 for (i = 0; i < pw->n; ++i) {
601 pw->p[i].set = isl_set_drop(pw->p[i].set, type, first, n);
604 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
616 #ifndef NO_INSERT_DIMS
617 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
618 unsigned first, unsigned n)
624 if (n == 0 && !isl_dim_is_named_or_nested(pw->dim, type))
631 pw->dim = isl_dim_insert(pw->dim, type, first, n);
635 for (i = 0; i < pw->n; ++i) {
636 pw->p[i].set = isl_set_insert(pw->p[i].set, type, first, n);
639 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
652 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
653 enum isl_dim_type type, unsigned pos, isl_int v)
663 for (i = 0; i < pw->n; ++i) {
664 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
675 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
677 return pw ? isl_dim_size(pw->dim, type) : 0;
680 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
681 enum isl_dim_type type, unsigned first, unsigned n)
695 for (i = 0; i < pw->n; ++i) {
696 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
708 /* Compute the maximal value attained by the piecewise quasipolynomial
709 * on its domain or zero if the domain is empty.
710 * In the worst case, the domain is scanned completely,
711 * so the domain is assumed to be bounded.
713 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
716 isl_qpolynomial *opt;
722 isl_dim *dim = isl_dim_copy(pw->dim);
724 return isl_qpolynomial_zero(dim);
727 opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
728 isl_set_copy(pw->p[0].set), max);
729 for (i = 1; i < pw->n; ++i) {
730 isl_qpolynomial *opt_i;
731 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
732 isl_set_copy(pw->p[i].set), max);
734 opt = isl_qpolynomial_max_cst(opt, opt_i);
736 opt = isl_qpolynomial_min_cst(opt, opt_i);
743 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
745 return FN(PW,opt)(pw, 1);
748 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
750 return FN(PW,opt)(pw, 0);
754 __isl_give isl_dim *FN(PW,get_dim)(__isl_keep PW *pw)
756 return pw ? isl_dim_copy(pw->dim) : NULL;
760 __isl_give PW *FN(PW,reset_dim)(__isl_take PW *pw, __isl_take isl_dim *dim)
768 for (i = 0; i < pw->n; ++i) {
769 pw->p[i].set = isl_set_reset_dim(pw->p[i].set,
773 pw->p[i].FIELD = FN(EL,reset_dim)(pw->p[i].FIELD,
778 isl_dim_free(pw->dim);
789 int FN(PW,has_equal_dim)(__isl_keep PW *pw1, __isl_keep PW *pw2)
794 return isl_dim_equal(pw1->dim, pw2->dim);
798 __isl_give PW *FN(PW,morph)(__isl_take PW *pw, __isl_take isl_morph *morph)
806 ctx = isl_dim_get_ctx(pw->dim);
807 isl_assert(ctx, isl_dim_equal(pw->dim, morph->dom->dim),
813 isl_dim_free(pw->dim);
814 pw->dim = isl_dim_copy(morph->ran->dim);
818 for (i = 0; i < pw->n; ++i) {
819 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
822 pw->p[i].FIELD = FN(EL,morph)(pw->p[i].FIELD,
823 isl_morph_copy(morph));
828 isl_morph_free(morph);
833 isl_morph_free(morph);
838 int FN(PW,foreach_piece)(__isl_keep PW *pw,
839 int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
847 for (i = 0; i < pw->n; ++i)
848 if (fn(isl_set_copy(pw->p[i].set),
849 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
856 static int any_divs(__isl_keep isl_set *set)
863 for (i = 0; i < set->n; ++i)
864 if (set->p[i]->n_div > 0)
870 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
871 int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
872 void *user), void *user)
879 for (i = 0; i < set->n; ++i) {
883 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
884 lift = isl_set_lift(lift);
886 copy = FN(EL,copy)(el);
887 copy = FN(EL,lift)(copy, isl_set_get_dim(lift));
889 if (fn(lift, copy, user) < 0)
903 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
904 int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
905 void *user), void *user)
912 for (i = 0; i < pw->n; ++i) {
916 set = isl_set_copy(pw->p[i].set);
917 el = FN(EL,copy)(pw->p[i].FIELD);
918 if (!any_divs(set)) {
919 if (fn(set, el, user) < 0)
923 if (foreach_lifted_subset(set, el, fn, user) < 0)
932 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
933 enum isl_dim_type dst_type, unsigned dst_pos,
934 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
942 pw->dim = isl_dim_move(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
946 for (i = 0; i < pw->n; ++i) {
947 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
949 src_type, src_pos, n);
952 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
953 dst_type, dst_pos, src_type, src_pos, n);
966 __isl_give PW *FN(PW,realign)(__isl_take PW *pw, __isl_take isl_reordering *exp)
974 for (i = 0; i < pw->n; ++i) {
975 pw->p[i].set = isl_set_realign(pw->p[i].set,
976 isl_reordering_copy(exp));
979 pw->p[i].FIELD = FN(EL,realign)(pw->p[i].FIELD,
980 isl_reordering_copy(exp));
985 pw = FN(PW,reset_dim)(pw, isl_dim_copy(exp->dim));
987 isl_reordering_free(exp);
990 isl_reordering_free(exp);
995 /* Align the parameters of "pw" to those of "model".
997 __isl_give PW *FN(PW,align_params)(__isl_take PW *pw, __isl_take isl_dim *model)
1004 ctx = isl_dim_get_ctx(model);
1005 if (!isl_dim_has_named_params(model))
1006 isl_die(ctx, isl_error_invalid,
1007 "model has unnamed parameters", goto error);
1008 if (!isl_dim_has_named_params(pw->dim))
1009 isl_die(ctx, isl_error_invalid,
1010 "input has unnamed parameters", goto error);
1011 if (!isl_dim_match(pw->dim, isl_dim_param, model, isl_dim_param)) {
1012 isl_reordering *exp;
1014 model = isl_dim_drop(model, isl_dim_in,
1015 0, isl_dim_size(model, isl_dim_in));
1016 model = isl_dim_drop(model, isl_dim_out,
1017 0, isl_dim_size(model, isl_dim_out));
1018 exp = isl_parameter_alignment_reordering(pw->dim, model);
1019 exp = isl_reordering_extend_dim(exp, FN(PW,get_dim)(pw));
1020 pw = FN(PW,realign)(pw, exp);
1023 isl_dim_free(model);
1026 isl_dim_free(model);
1032 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
1036 if (isl_int_is_one(v))
1038 if (pw && isl_int_is_zero(v)) {
1040 isl_dim *dim = FN(PW,get_dim)(pw);
1042 zero = FN(PW,ZERO)(dim, pw->type);
1044 zero = FN(PW,ZERO)(dim);
1049 pw = FN(PW,cow)(pw);
1056 if (isl_int_is_neg(v))
1057 pw->type = isl_fold_type_negate(pw->type);
1059 for (i = 0; i < pw->n; ++i) {
1060 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);
1061 if (!pw->p[i].FIELD)
1071 __isl_give PW *FN(PW,scale)(__isl_take PW *pw, isl_int v)
1073 return FN(PW,mul_isl_int)(pw, v);