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)
185 __isl_give PW *FN(PW,realign)(__isl_take PW *pw, __isl_take isl_reordering *exp)
193 for (i = 0; i < pw->n; ++i) {
194 pw->p[i].set = isl_set_realign(pw->p[i].set,
195 isl_reordering_copy(exp));
198 pw->p[i].FIELD = FN(EL,realign)(pw->p[i].FIELD,
199 isl_reordering_copy(exp));
204 pw = FN(PW,reset_dim)(pw, isl_dim_copy(exp->dim));
206 isl_reordering_free(exp);
209 isl_reordering_free(exp);
214 /* Align the parameters of "pw" to those of "model".
216 __isl_give PW *FN(PW,align_params)(__isl_take PW *pw, __isl_take isl_dim *model)
223 ctx = isl_dim_get_ctx(model);
224 if (!isl_dim_has_named_params(model))
225 isl_die(ctx, isl_error_invalid,
226 "model has unnamed parameters", goto error);
227 if (!isl_dim_has_named_params(pw->dim))
228 isl_die(ctx, isl_error_invalid,
229 "input has unnamed parameters", goto error);
230 if (!isl_dim_match(pw->dim, isl_dim_param, model, isl_dim_param)) {
233 model = isl_dim_drop(model, isl_dim_in,
234 0, isl_dim_size(model, isl_dim_in));
235 model = isl_dim_drop(model, isl_dim_out,
236 0, isl_dim_size(model, isl_dim_out));
237 exp = isl_parameter_alignment_reordering(pw->dim, model);
238 exp = isl_reordering_extend_dim(exp, FN(PW,get_dim)(pw));
239 pw = FN(PW,realign)(pw, exp);
250 static __isl_give PW *align_params_pw_pw_and(__isl_take PW *pw1,
252 __isl_give PW *(*fn)(__isl_take PW *pw1, __isl_take PW *pw2))
258 if (isl_dim_match(pw1->dim, isl_dim_param, pw2->dim, isl_dim_param))
260 ctx = FN(PW,get_ctx)(pw1);
261 if (!isl_dim_has_named_params(pw1->dim) ||
262 !isl_dim_has_named_params(pw2->dim))
263 isl_die(ctx, isl_error_invalid,
264 "unaligned unnamed parameters", goto error);
265 pw1 = FN(PW,align_params)(pw1, FN(PW,get_dim)(pw2));
266 pw2 = FN(PW,align_params)(pw2, FN(PW,get_dim)(pw1));
274 static __isl_give PW *align_params_pw_set_and(__isl_take PW *pw,
275 __isl_take isl_set *set,
276 __isl_give PW *(*fn)(__isl_take PW *pw, __isl_take isl_set *set))
282 if (isl_dim_match(pw->dim, isl_dim_param, set->dim, isl_dim_param))
284 ctx = FN(PW,get_ctx)(pw);
285 if (!isl_dim_has_named_params(pw->dim) ||
286 !isl_dim_has_named_params(set->dim))
287 isl_die(ctx, isl_error_invalid,
288 "unaligned unnamed parameters", goto error);
289 pw = FN(PW,align_params)(pw, isl_set_get_dim(set));
290 set = isl_set_align_params(set, FN(PW,get_dim)(pw));
299 static __isl_give PW *FN(PW,add_aligned)(__isl_take PW *pw1, __isl_take PW *pw2)
309 ctx = isl_dim_get_ctx(pw1->dim);
311 if (pw1->type != pw2->type)
312 isl_die(ctx, isl_error_invalid,
313 "fold types don't match", goto error);
315 isl_assert(ctx, isl_dim_equal(pw1->dim, pw2->dim), goto error);
317 if (FN(PW,IS_ZERO)(pw1)) {
322 if (FN(PW,IS_ZERO)(pw2)) {
327 n = (pw1->n + 1) * (pw2->n + 1);
329 res = FN(PW,alloc_)(isl_dim_copy(pw1->dim), pw1->type, n);
331 res = FN(PW,alloc_)(isl_dim_copy(pw1->dim), n);
334 for (i = 0; i < pw1->n; ++i) {
335 set = isl_set_copy(pw1->p[i].set);
336 for (j = 0; j < pw2->n; ++j) {
337 struct isl_set *common;
339 set = isl_set_subtract(set,
340 isl_set_copy(pw2->p[j].set));
341 common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
342 isl_set_copy(pw2->p[j].set));
343 if (isl_set_plain_is_empty(common)) {
344 isl_set_free(common);
348 sum = FN(EL,add_on_domain)(common,
349 FN(EL,copy)(pw1->p[i].FIELD),
350 FN(EL,copy)(pw2->p[j].FIELD));
352 res = FN(PW,add_piece)(res, common, sum);
354 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw1->p[i].FIELD));
357 for (j = 0; j < pw2->n; ++j) {
358 set = isl_set_copy(pw2->p[j].set);
359 for (i = 0; i < pw1->n; ++i)
360 set = isl_set_subtract(set,
361 isl_set_copy(pw1->p[i].set));
362 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw2->p[j].FIELD));
375 __isl_give PW *FN(PW,add)(__isl_take PW *pw1, __isl_take PW *pw2)
377 return align_params_pw_pw_and(pw1, pw2, &FN(PW,add_aligned));
380 static __isl_give PW *FN(PW,add_disjoint_aligned)(__isl_take PW *pw1,
390 ctx = isl_dim_get_ctx(pw1->dim);
392 if (pw1->type != pw2->type)
393 isl_die(ctx, isl_error_invalid,
394 "fold types don't match", goto error);
396 isl_assert(ctx, isl_dim_equal(pw1->dim, pw2->dim), goto error);
398 if (FN(PW,IS_ZERO)(pw1)) {
403 if (FN(PW,IS_ZERO)(pw2)) {
409 res = FN(PW,alloc_)(isl_dim_copy(pw1->dim), pw1->type, pw1->n + pw2->n);
411 res = FN(PW,alloc_)(isl_dim_copy(pw1->dim), pw1->n + pw2->n);
414 for (i = 0; i < pw1->n; ++i)
415 res = FN(PW,add_piece)(res,
416 isl_set_copy(pw1->p[i].set),
417 FN(EL,copy)(pw1->p[i].FIELD));
419 for (i = 0; i < pw2->n; ++i)
420 res = FN(PW,add_piece)(res,
421 isl_set_copy(pw2->p[i].set),
422 FN(EL,copy)(pw2->p[i].FIELD));
434 __isl_give PW *FN(PW,add_disjoint)(__isl_take PW *pw1, __isl_take PW *pw2)
436 return align_params_pw_pw_and(pw1, pw2, &FN(PW,add_disjoint_aligned));
440 __isl_give PW *FN(PW,neg)(__isl_take PW *pw)
447 if (FN(PW,IS_ZERO)(pw))
454 for (i = 0; i < pw->n; ++i) {
455 pw->p[i].FIELD = FN(EL,neg)(pw->p[i].FIELD);
457 return FN(PW,free)(pw);
463 __isl_give PW *FN(PW,sub)(__isl_take PW *pw1, __isl_take PW *pw2)
465 return FN(PW,add)(pw1, FN(PW,neg)(pw2));
470 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
471 __isl_take isl_point *pnt)
476 isl_dim *pnt_dim = NULL;
481 ctx = isl_point_get_ctx(pnt);
482 pnt_dim = isl_point_get_dim(pnt);
483 isl_assert(ctx, isl_dim_equal(pnt_dim, pw->dim), goto error);
485 for (i = 0; i < pw->n; ++i) {
486 found = isl_set_contains_point(pw->p[i].set, pnt);
493 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
494 isl_point_copy(pnt));
496 qp = isl_qpolynomial_zero(isl_dim_copy(pw->dim));
498 isl_dim_free(pnt_dim);
503 isl_dim_free(pnt_dim);
509 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
517 dom = isl_set_empty(isl_dim_copy(pw->dim));
518 for (i = 0; i < pw->n; ++i)
519 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
526 static __isl_give PW *FN(PW,intersect_domain_aligned)(__isl_take PW *pw,
527 __isl_take isl_set *set)
543 for (i = pw->n - 1; i >= 0; --i) {
545 pw->p[i].set = isl_set_intersect(pw->p[i].set, isl_set_copy(set));
548 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
549 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
551 if (isl_set_plain_is_empty(pw->p[i].set)) {
552 isl_set_free(pw->p[i].set);
553 FN(EL,free)(pw->p[i].FIELD);
555 pw->p[i] = pw->p[pw->n - 1];
568 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw,
569 __isl_take isl_set *context)
571 return align_params_pw_set_and(pw, context,
572 &FN(PW,intersect_domain_aligned));
575 static __isl_give PW *FN(PW,gist_aligned)(__isl_take PW *pw,
576 __isl_take isl_set *context)
579 isl_basic_set *hull = NULL;
585 isl_set_free(context);
589 if (!isl_dim_match(pw->dim, isl_dim_param,
590 context->dim, isl_dim_param)) {
591 pw = FN(PW,align_params)(pw, isl_set_get_dim(context));
592 context = isl_set_align_params(context, FN(PW,get_dim)(pw));
595 context = isl_set_compute_divs(context);
596 hull = isl_set_simple_hull(isl_set_copy(context));
602 for (i = pw->n - 1; i >= 0; --i) {
603 pw->p[i].set = isl_set_intersect(pw->p[i].set,
604 isl_set_copy(context));
607 pw->p[i].FIELD = FN(EL,gist)(pw->p[i].FIELD,
608 isl_set_copy(pw->p[i].set));
609 pw->p[i].set = isl_set_gist_basic_set(pw->p[i].set,
610 isl_basic_set_copy(hull));
613 if (isl_set_plain_is_empty(pw->p[i].set)) {
614 isl_set_free(pw->p[i].set);
615 FN(EL,free)(pw->p[i].FIELD);
617 pw->p[i] = pw->p[pw->n - 1];
622 isl_basic_set_free(hull);
623 isl_set_free(context);
628 isl_basic_set_free(hull);
629 isl_set_free(context);
633 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
635 return align_params_pw_set_and(pw, context, &FN(PW,gist_aligned));
638 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
647 for (i = pw->n - 1; i >= 0; --i) {
648 for (j = i - 1; j >= 0; --j) {
649 if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
652 pw->p[j].set = isl_set_union(pw->p[j].set,
654 FN(EL,free)(pw->p[i].FIELD);
656 pw->p[i] = pw->p[pw->n - 1];
662 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
673 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
675 return pw ? isl_dim_get_ctx(pw->dim) : NULL;
678 #ifndef NO_INVOLVES_DIMS
679 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
680 unsigned first, unsigned n)
686 if (pw->n == 0 || n == 0)
688 for (i = 0; i < pw->n; ++i) {
689 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
691 if (involves < 0 || involves)
693 involves = isl_set_involves_dims(pw->p[i].set, type, first, n);
694 if (involves < 0 || involves)
701 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
702 enum isl_dim_type type, unsigned pos, const char *s)
710 pw->dim = isl_dim_set_name(pw->dim, type, pos, s);
714 for (i = 0; i < pw->n; ++i) {
715 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set, type, pos, s);
718 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
730 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
731 enum isl_dim_type type, unsigned first, unsigned n)
737 if (n == 0 && !isl_dim_get_tuple_name(pw->dim, type))
743 pw->dim = isl_dim_drop(pw->dim, type, first, n);
746 for (i = 0; i < pw->n; ++i) {
747 pw->p[i].set = isl_set_drop(pw->p[i].set, type, first, n);
750 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
762 #ifndef NO_INSERT_DIMS
763 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
764 unsigned first, unsigned n)
770 if (n == 0 && !isl_dim_is_named_or_nested(pw->dim, type))
777 pw->dim = isl_dim_insert(pw->dim, type, first, n);
781 for (i = 0; i < pw->n; ++i) {
782 pw->p[i].set = isl_set_insert(pw->p[i].set, type, first, n);
785 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
798 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
799 enum isl_dim_type type, unsigned pos, isl_int v)
809 for (i = 0; i < pw->n; ++i) {
810 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
821 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
823 return pw ? isl_dim_size(pw->dim, type) : 0;
826 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
827 enum isl_dim_type type, unsigned first, unsigned n)
841 for (i = 0; i < pw->n; ++i) {
842 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
854 /* Compute the maximal value attained by the piecewise quasipolynomial
855 * on its domain or zero if the domain is empty.
856 * In the worst case, the domain is scanned completely,
857 * so the domain is assumed to be bounded.
859 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
862 isl_qpolynomial *opt;
868 isl_dim *dim = isl_dim_copy(pw->dim);
870 return isl_qpolynomial_zero(dim);
873 opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
874 isl_set_copy(pw->p[0].set), max);
875 for (i = 1; i < pw->n; ++i) {
876 isl_qpolynomial *opt_i;
877 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
878 isl_set_copy(pw->p[i].set), max);
880 opt = isl_qpolynomial_max_cst(opt, opt_i);
882 opt = isl_qpolynomial_min_cst(opt, opt_i);
889 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
891 return FN(PW,opt)(pw, 1);
894 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
896 return FN(PW,opt)(pw, 0);
900 __isl_give isl_dim *FN(PW,get_dim)(__isl_keep PW *pw)
902 return pw ? isl_dim_copy(pw->dim) : NULL;
906 __isl_give PW *FN(PW,reset_dim)(__isl_take PW *pw, __isl_take isl_dim *dim)
914 for (i = 0; i < pw->n; ++i) {
915 pw->p[i].set = isl_set_reset_dim(pw->p[i].set,
919 pw->p[i].FIELD = FN(EL,reset_dim)(pw->p[i].FIELD,
924 isl_dim_free(pw->dim);
935 int FN(PW,has_equal_dim)(__isl_keep PW *pw1, __isl_keep PW *pw2)
940 return isl_dim_equal(pw1->dim, pw2->dim);
944 __isl_give PW *FN(PW,morph)(__isl_take PW *pw, __isl_take isl_morph *morph)
952 ctx = isl_dim_get_ctx(pw->dim);
953 isl_assert(ctx, isl_dim_equal(pw->dim, morph->dom->dim),
959 isl_dim_free(pw->dim);
960 pw->dim = isl_dim_copy(morph->ran->dim);
964 for (i = 0; i < pw->n; ++i) {
965 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
968 pw->p[i].FIELD = FN(EL,morph)(pw->p[i].FIELD,
969 isl_morph_copy(morph));
974 isl_morph_free(morph);
979 isl_morph_free(morph);
984 int FN(PW,foreach_piece)(__isl_keep PW *pw,
985 int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
993 for (i = 0; i < pw->n; ++i)
994 if (fn(isl_set_copy(pw->p[i].set),
995 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
1002 static int any_divs(__isl_keep isl_set *set)
1009 for (i = 0; i < set->n; ++i)
1010 if (set->p[i]->n_div > 0)
1016 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
1017 int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1018 void *user), void *user)
1025 for (i = 0; i < set->n; ++i) {
1029 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
1030 lift = isl_set_lift(lift);
1032 copy = FN(EL,copy)(el);
1033 copy = FN(EL,lift)(copy, isl_set_get_dim(lift));
1035 if (fn(lift, copy, user) < 0)
1049 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
1050 int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1051 void *user), void *user)
1058 for (i = 0; i < pw->n; ++i) {
1062 set = isl_set_copy(pw->p[i].set);
1063 el = FN(EL,copy)(pw->p[i].FIELD);
1064 if (!any_divs(set)) {
1065 if (fn(set, el, user) < 0)
1069 if (foreach_lifted_subset(set, el, fn, user) < 0)
1077 #ifndef NO_MOVE_DIMS
1078 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
1079 enum isl_dim_type dst_type, unsigned dst_pos,
1080 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1084 pw = FN(PW,cow)(pw);
1088 pw->dim = isl_dim_move(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
1092 for (i = 0; i < pw->n; ++i) {
1093 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
1095 src_type, src_pos, n);
1098 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
1099 dst_type, dst_pos, src_type, src_pos, n);
1100 if (!pw->p[i].FIELD)
1111 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
1115 if (isl_int_is_one(v))
1117 if (pw && isl_int_is_zero(v)) {
1119 isl_dim *dim = FN(PW,get_dim)(pw);
1121 zero = FN(PW,ZERO)(dim, pw->type);
1123 zero = FN(PW,ZERO)(dim);
1128 pw = FN(PW,cow)(pw);
1135 if (isl_int_is_neg(v))
1136 pw->type = isl_fold_type_negate(pw->type);
1138 for (i = 0; i < pw->n; ++i) {
1139 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);
1140 if (!pw->p[i].FIELD)
1150 __isl_give PW *FN(PW,scale)(__isl_take PW *pw, isl_int v)
1152 return FN(PW,mul_isl_int)(pw, v);