2 * Copyright 2010 INRIA Saclay
4 * Use of this software is governed by the GNU LGPLv2.1 license
6 * Written by Sven Verdoolaege, INRIA Saclay - Ile-de-France,
7 * Parc Club Orsay Universite, ZAC des vignes, 4 rue Jacques Monod,
13 #include <isl_union_map_private.h>
14 #include <isl_polynomial_private.h>
15 #include <isl_point_private.h>
16 #include <isl_dim_private.h>
17 #include <isl_map_private.h>
19 static unsigned pos(__isl_keep isl_dim *dim, enum isl_dim_type type)
22 case isl_dim_param: return 0;
23 case isl_dim_in: return dim->nparam;
24 case isl_dim_out: return dim->nparam + dim->n_in;
29 int isl_upoly_is_cst(__isl_keep struct isl_upoly *up)
37 __isl_keep struct isl_upoly_cst *isl_upoly_as_cst(__isl_keep struct isl_upoly *up)
42 isl_assert(up->ctx, up->var < 0, return NULL);
44 return (struct isl_upoly_cst *)up;
47 __isl_keep struct isl_upoly_rec *isl_upoly_as_rec(__isl_keep struct isl_upoly *up)
52 isl_assert(up->ctx, up->var >= 0, return NULL);
54 return (struct isl_upoly_rec *)up;
57 int isl_upoly_is_equal(__isl_keep struct isl_upoly *up1,
58 __isl_keep struct isl_upoly *up2)
61 struct isl_upoly_rec *rec1, *rec2;
67 if (up1->var != up2->var)
69 if (isl_upoly_is_cst(up1)) {
70 struct isl_upoly_cst *cst1, *cst2;
71 cst1 = isl_upoly_as_cst(up1);
72 cst2 = isl_upoly_as_cst(up2);
75 return isl_int_eq(cst1->n, cst2->n) &&
76 isl_int_eq(cst1->d, cst2->d);
79 rec1 = isl_upoly_as_rec(up1);
80 rec2 = isl_upoly_as_rec(up2);
84 if (rec1->n != rec2->n)
87 for (i = 0; i < rec1->n; ++i) {
88 int eq = isl_upoly_is_equal(rec1->p[i], rec2->p[i]);
96 int isl_upoly_is_zero(__isl_keep struct isl_upoly *up)
98 struct isl_upoly_cst *cst;
102 if (!isl_upoly_is_cst(up))
105 cst = isl_upoly_as_cst(up);
109 return isl_int_is_zero(cst->n) && isl_int_is_pos(cst->d);
112 int isl_upoly_sgn(__isl_keep struct isl_upoly *up)
114 struct isl_upoly_cst *cst;
118 if (!isl_upoly_is_cst(up))
121 cst = isl_upoly_as_cst(up);
125 return isl_int_sgn(cst->n);
128 int isl_upoly_is_nan(__isl_keep struct isl_upoly *up)
130 struct isl_upoly_cst *cst;
134 if (!isl_upoly_is_cst(up))
137 cst = isl_upoly_as_cst(up);
141 return isl_int_is_zero(cst->n) && isl_int_is_zero(cst->d);
144 int isl_upoly_is_infty(__isl_keep struct isl_upoly *up)
146 struct isl_upoly_cst *cst;
150 if (!isl_upoly_is_cst(up))
153 cst = isl_upoly_as_cst(up);
157 return isl_int_is_pos(cst->n) && isl_int_is_zero(cst->d);
160 int isl_upoly_is_neginfty(__isl_keep struct isl_upoly *up)
162 struct isl_upoly_cst *cst;
166 if (!isl_upoly_is_cst(up))
169 cst = isl_upoly_as_cst(up);
173 return isl_int_is_neg(cst->n) && isl_int_is_zero(cst->d);
176 int isl_upoly_is_one(__isl_keep struct isl_upoly *up)
178 struct isl_upoly_cst *cst;
182 if (!isl_upoly_is_cst(up))
185 cst = isl_upoly_as_cst(up);
189 return isl_int_eq(cst->n, cst->d) && isl_int_is_pos(cst->d);
192 int isl_upoly_is_negone(__isl_keep struct isl_upoly *up)
194 struct isl_upoly_cst *cst;
198 if (!isl_upoly_is_cst(up))
201 cst = isl_upoly_as_cst(up);
205 return isl_int_is_negone(cst->n) && isl_int_is_one(cst->d);
208 __isl_give struct isl_upoly_cst *isl_upoly_cst_alloc(struct isl_ctx *ctx)
210 struct isl_upoly_cst *cst;
212 cst = isl_alloc_type(ctx, struct isl_upoly_cst);
221 isl_int_init(cst->n);
222 isl_int_init(cst->d);
227 __isl_give struct isl_upoly *isl_upoly_zero(struct isl_ctx *ctx)
229 struct isl_upoly_cst *cst;
231 cst = isl_upoly_cst_alloc(ctx);
235 isl_int_set_si(cst->n, 0);
236 isl_int_set_si(cst->d, 1);
241 __isl_give struct isl_upoly *isl_upoly_infty(struct isl_ctx *ctx)
243 struct isl_upoly_cst *cst;
245 cst = isl_upoly_cst_alloc(ctx);
249 isl_int_set_si(cst->n, 1);
250 isl_int_set_si(cst->d, 0);
255 __isl_give struct isl_upoly *isl_upoly_neginfty(struct isl_ctx *ctx)
257 struct isl_upoly_cst *cst;
259 cst = isl_upoly_cst_alloc(ctx);
263 isl_int_set_si(cst->n, -1);
264 isl_int_set_si(cst->d, 0);
269 __isl_give struct isl_upoly *isl_upoly_nan(struct isl_ctx *ctx)
271 struct isl_upoly_cst *cst;
273 cst = isl_upoly_cst_alloc(ctx);
277 isl_int_set_si(cst->n, 0);
278 isl_int_set_si(cst->d, 0);
283 __isl_give struct isl_upoly *isl_upoly_rat_cst(struct isl_ctx *ctx,
284 isl_int n, isl_int d)
286 struct isl_upoly_cst *cst;
288 cst = isl_upoly_cst_alloc(ctx);
292 isl_int_set(cst->n, n);
293 isl_int_set(cst->d, d);
298 __isl_give struct isl_upoly_rec *isl_upoly_alloc_rec(struct isl_ctx *ctx,
301 struct isl_upoly_rec *rec;
303 isl_assert(ctx, var >= 0, return NULL);
304 isl_assert(ctx, size >= 0, return NULL);
305 rec = isl_calloc(ctx, struct isl_upoly_rec,
306 sizeof(struct isl_upoly_rec) +
307 (size - 1) * sizeof(struct isl_upoly *));
322 __isl_give isl_qpolynomial *isl_qpolynomial_reset_dim(
323 __isl_take isl_qpolynomial *qp, __isl_take isl_dim *dim)
328 isl_dim_free(qp->dim);
333 isl_qpolynomial_free(qp);
338 isl_ctx *isl_qpolynomial_get_ctx(__isl_keep isl_qpolynomial *qp)
340 return qp ? qp->dim->ctx : NULL;
343 __isl_give isl_dim *isl_qpolynomial_get_dim(__isl_keep isl_qpolynomial *qp)
345 return qp ? isl_dim_copy(qp->dim) : NULL;
348 unsigned isl_qpolynomial_dim(__isl_keep isl_qpolynomial *qp,
349 enum isl_dim_type type)
351 return qp ? isl_dim_size(qp->dim, type) : 0;
354 int isl_qpolynomial_is_zero(__isl_keep isl_qpolynomial *qp)
356 return qp ? isl_upoly_is_zero(qp->upoly) : -1;
359 int isl_qpolynomial_is_one(__isl_keep isl_qpolynomial *qp)
361 return qp ? isl_upoly_is_one(qp->upoly) : -1;
364 int isl_qpolynomial_is_nan(__isl_keep isl_qpolynomial *qp)
366 return qp ? isl_upoly_is_nan(qp->upoly) : -1;
369 int isl_qpolynomial_is_infty(__isl_keep isl_qpolynomial *qp)
371 return qp ? isl_upoly_is_infty(qp->upoly) : -1;
374 int isl_qpolynomial_is_neginfty(__isl_keep isl_qpolynomial *qp)
376 return qp ? isl_upoly_is_neginfty(qp->upoly) : -1;
379 int isl_qpolynomial_sgn(__isl_keep isl_qpolynomial *qp)
381 return qp ? isl_upoly_sgn(qp->upoly) : 0;
384 static void upoly_free_cst(__isl_take struct isl_upoly_cst *cst)
386 isl_int_clear(cst->n);
387 isl_int_clear(cst->d);
390 static void upoly_free_rec(__isl_take struct isl_upoly_rec *rec)
394 for (i = 0; i < rec->n; ++i)
395 isl_upoly_free(rec->p[i]);
398 __isl_give struct isl_upoly *isl_upoly_copy(__isl_keep struct isl_upoly *up)
407 __isl_give struct isl_upoly *isl_upoly_dup_cst(__isl_keep struct isl_upoly *up)
409 struct isl_upoly_cst *cst;
410 struct isl_upoly_cst *dup;
412 cst = isl_upoly_as_cst(up);
416 dup = isl_upoly_as_cst(isl_upoly_zero(up->ctx));
419 isl_int_set(dup->n, cst->n);
420 isl_int_set(dup->d, cst->d);
425 __isl_give struct isl_upoly *isl_upoly_dup_rec(__isl_keep struct isl_upoly *up)
428 struct isl_upoly_rec *rec;
429 struct isl_upoly_rec *dup;
431 rec = isl_upoly_as_rec(up);
435 dup = isl_upoly_alloc_rec(up->ctx, up->var, rec->n);
439 for (i = 0; i < rec->n; ++i) {
440 dup->p[i] = isl_upoly_copy(rec->p[i]);
448 isl_upoly_free(&dup->up);
452 __isl_give struct isl_upoly *isl_upoly_dup(__isl_keep struct isl_upoly *up)
454 struct isl_upoly *dup;
459 if (isl_upoly_is_cst(up))
460 return isl_upoly_dup_cst(up);
462 return isl_upoly_dup_rec(up);
465 __isl_give struct isl_upoly *isl_upoly_cow(__isl_take struct isl_upoly *up)
473 return isl_upoly_dup(up);
476 void isl_upoly_free(__isl_take struct isl_upoly *up)
485 upoly_free_cst((struct isl_upoly_cst *)up);
487 upoly_free_rec((struct isl_upoly_rec *)up);
489 isl_ctx_deref(up->ctx);
493 static void isl_upoly_cst_reduce(__isl_keep struct isl_upoly_cst *cst)
498 isl_int_gcd(gcd, cst->n, cst->d);
499 if (!isl_int_is_zero(gcd) && !isl_int_is_one(gcd)) {
500 isl_int_divexact(cst->n, cst->n, gcd);
501 isl_int_divexact(cst->d, cst->d, gcd);
506 __isl_give struct isl_upoly *isl_upoly_sum_cst(__isl_take struct isl_upoly *up1,
507 __isl_take struct isl_upoly *up2)
509 struct isl_upoly_cst *cst1;
510 struct isl_upoly_cst *cst2;
512 up1 = isl_upoly_cow(up1);
516 cst1 = isl_upoly_as_cst(up1);
517 cst2 = isl_upoly_as_cst(up2);
519 if (isl_int_eq(cst1->d, cst2->d))
520 isl_int_add(cst1->n, cst1->n, cst2->n);
522 isl_int_mul(cst1->n, cst1->n, cst2->d);
523 isl_int_addmul(cst1->n, cst2->n, cst1->d);
524 isl_int_mul(cst1->d, cst1->d, cst2->d);
527 isl_upoly_cst_reduce(cst1);
537 static __isl_give struct isl_upoly *replace_by_zero(
538 __isl_take struct isl_upoly *up)
546 return isl_upoly_zero(ctx);
549 static __isl_give struct isl_upoly *replace_by_constant_term(
550 __isl_take struct isl_upoly *up)
552 struct isl_upoly_rec *rec;
553 struct isl_upoly *cst;
558 rec = isl_upoly_as_rec(up);
561 cst = isl_upoly_copy(rec->p[0]);
569 __isl_give struct isl_upoly *isl_upoly_sum(__isl_take struct isl_upoly *up1,
570 __isl_take struct isl_upoly *up2)
573 struct isl_upoly_rec *rec1, *rec2;
578 if (isl_upoly_is_nan(up1)) {
583 if (isl_upoly_is_nan(up2)) {
588 if (isl_upoly_is_zero(up1)) {
593 if (isl_upoly_is_zero(up2)) {
598 if (up1->var < up2->var)
599 return isl_upoly_sum(up2, up1);
601 if (up2->var < up1->var) {
602 struct isl_upoly_rec *rec;
603 if (isl_upoly_is_infty(up2) || isl_upoly_is_neginfty(up2)) {
607 up1 = isl_upoly_cow(up1);
608 rec = isl_upoly_as_rec(up1);
611 rec->p[0] = isl_upoly_sum(rec->p[0], up2);
613 up1 = replace_by_constant_term(up1);
617 if (isl_upoly_is_cst(up1))
618 return isl_upoly_sum_cst(up1, up2);
620 rec1 = isl_upoly_as_rec(up1);
621 rec2 = isl_upoly_as_rec(up2);
625 if (rec1->n < rec2->n)
626 return isl_upoly_sum(up2, up1);
628 up1 = isl_upoly_cow(up1);
629 rec1 = isl_upoly_as_rec(up1);
633 for (i = rec2->n - 1; i >= 0; --i) {
634 rec1->p[i] = isl_upoly_sum(rec1->p[i],
635 isl_upoly_copy(rec2->p[i]));
638 if (i == rec1->n - 1 && isl_upoly_is_zero(rec1->p[i])) {
639 isl_upoly_free(rec1->p[i]);
645 up1 = replace_by_zero(up1);
646 else if (rec1->n == 1)
647 up1 = replace_by_constant_term(up1);
658 __isl_give struct isl_upoly *isl_upoly_neg_cst(__isl_take struct isl_upoly *up)
660 struct isl_upoly_cst *cst;
662 if (isl_upoly_is_zero(up))
665 up = isl_upoly_cow(up);
669 cst = isl_upoly_as_cst(up);
671 isl_int_neg(cst->n, cst->n);
676 __isl_give struct isl_upoly *isl_upoly_neg(__isl_take struct isl_upoly *up)
679 struct isl_upoly_rec *rec;
684 if (isl_upoly_is_cst(up))
685 return isl_upoly_neg_cst(up);
687 up = isl_upoly_cow(up);
688 rec = isl_upoly_as_rec(up);
692 for (i = 0; i < rec->n; ++i) {
693 rec->p[i] = isl_upoly_neg(rec->p[i]);
704 __isl_give struct isl_upoly *isl_upoly_mul_cst(__isl_take struct isl_upoly *up1,
705 __isl_take struct isl_upoly *up2)
707 struct isl_upoly_cst *cst1;
708 struct isl_upoly_cst *cst2;
710 up1 = isl_upoly_cow(up1);
714 cst1 = isl_upoly_as_cst(up1);
715 cst2 = isl_upoly_as_cst(up2);
717 isl_int_mul(cst1->n, cst1->n, cst2->n);
718 isl_int_mul(cst1->d, cst1->d, cst2->d);
720 isl_upoly_cst_reduce(cst1);
730 __isl_give struct isl_upoly *isl_upoly_mul_rec(__isl_take struct isl_upoly *up1,
731 __isl_take struct isl_upoly *up2)
733 struct isl_upoly_rec *rec1;
734 struct isl_upoly_rec *rec2;
735 struct isl_upoly_rec *res;
739 rec1 = isl_upoly_as_rec(up1);
740 rec2 = isl_upoly_as_rec(up2);
743 size = rec1->n + rec2->n - 1;
744 res = isl_upoly_alloc_rec(up1->ctx, up1->var, size);
748 for (i = 0; i < rec1->n; ++i) {
749 res->p[i] = isl_upoly_mul(isl_upoly_copy(rec2->p[0]),
750 isl_upoly_copy(rec1->p[i]));
755 for (; i < size; ++i) {
756 res->p[i] = isl_upoly_zero(up1->ctx);
761 for (i = 0; i < rec1->n; ++i) {
762 for (j = 1; j < rec2->n; ++j) {
763 struct isl_upoly *up;
764 up = isl_upoly_mul(isl_upoly_copy(rec2->p[j]),
765 isl_upoly_copy(rec1->p[i]));
766 res->p[i + j] = isl_upoly_sum(res->p[i + j], up);
779 isl_upoly_free(&res->up);
783 __isl_give struct isl_upoly *isl_upoly_mul(__isl_take struct isl_upoly *up1,
784 __isl_take struct isl_upoly *up2)
789 if (isl_upoly_is_nan(up1)) {
794 if (isl_upoly_is_nan(up2)) {
799 if (isl_upoly_is_zero(up1)) {
804 if (isl_upoly_is_zero(up2)) {
809 if (isl_upoly_is_one(up1)) {
814 if (isl_upoly_is_one(up2)) {
819 if (up1->var < up2->var)
820 return isl_upoly_mul(up2, up1);
822 if (up2->var < up1->var) {
824 struct isl_upoly_rec *rec;
825 if (isl_upoly_is_infty(up2) || isl_upoly_is_neginfty(up2)) {
826 isl_ctx *ctx = up1->ctx;
829 return isl_upoly_nan(ctx);
831 up1 = isl_upoly_cow(up1);
832 rec = isl_upoly_as_rec(up1);
836 for (i = 0; i < rec->n; ++i) {
837 rec->p[i] = isl_upoly_mul(rec->p[i],
838 isl_upoly_copy(up2));
846 if (isl_upoly_is_cst(up1))
847 return isl_upoly_mul_cst(up1, up2);
849 return isl_upoly_mul_rec(up1, up2);
856 __isl_give isl_qpolynomial *isl_qpolynomial_alloc(__isl_take isl_dim *dim,
857 unsigned n_div, __isl_take struct isl_upoly *up)
859 struct isl_qpolynomial *qp = NULL;
865 total = isl_dim_total(dim);
867 qp = isl_calloc_type(dim->ctx, struct isl_qpolynomial);
872 qp->div = isl_mat_alloc(dim->ctx, n_div, 1 + 1 + total + n_div);
883 isl_qpolynomial_free(qp);
887 __isl_give isl_qpolynomial *isl_qpolynomial_copy(__isl_keep isl_qpolynomial *qp)
896 __isl_give isl_qpolynomial *isl_qpolynomial_dup(__isl_keep isl_qpolynomial *qp)
898 struct isl_qpolynomial *dup;
903 dup = isl_qpolynomial_alloc(isl_dim_copy(qp->dim), qp->div->n_row,
904 isl_upoly_copy(qp->upoly));
907 isl_mat_free(dup->div);
908 dup->div = isl_mat_copy(qp->div);
914 isl_qpolynomial_free(dup);
918 __isl_give isl_qpolynomial *isl_qpolynomial_cow(__isl_take isl_qpolynomial *qp)
926 return isl_qpolynomial_dup(qp);
929 void isl_qpolynomial_free(__isl_take isl_qpolynomial *qp)
937 isl_dim_free(qp->dim);
938 isl_mat_free(qp->div);
939 isl_upoly_free(qp->upoly);
944 __isl_give struct isl_upoly *isl_upoly_pow(isl_ctx *ctx, int pos, int power)
947 struct isl_upoly *up;
948 struct isl_upoly_rec *rec;
949 struct isl_upoly_cst *cst;
951 rec = isl_upoly_alloc_rec(ctx, pos, 1 + power);
954 for (i = 0; i < 1 + power; ++i) {
955 rec->p[i] = isl_upoly_zero(ctx);
960 cst = isl_upoly_as_cst(rec->p[power]);
961 isl_int_set_si(cst->n, 1);
965 isl_upoly_free(&rec->up);
969 /* r array maps original positions to new positions.
971 static __isl_give struct isl_upoly *reorder(__isl_take struct isl_upoly *up,
975 struct isl_upoly_rec *rec;
976 struct isl_upoly *base;
977 struct isl_upoly *res;
979 if (isl_upoly_is_cst(up))
982 rec = isl_upoly_as_rec(up);
986 isl_assert(up->ctx, rec->n >= 1, goto error);
988 base = isl_upoly_pow(up->ctx, r[up->var], 1);
989 res = reorder(isl_upoly_copy(rec->p[rec->n - 1]), r);
991 for (i = rec->n - 2; i >= 0; --i) {
992 res = isl_upoly_mul(res, isl_upoly_copy(base));
993 res = isl_upoly_sum(res, reorder(isl_upoly_copy(rec->p[i]), r));
996 isl_upoly_free(base);
1005 static int compatible_divs(__isl_keep isl_mat *div1, __isl_keep isl_mat *div2)
1010 isl_assert(div1->ctx, div1->n_row >= div2->n_row &&
1011 div1->n_col >= div2->n_col, return -1);
1013 if (div1->n_row == div2->n_row)
1014 return isl_mat_is_equal(div1, div2);
1016 n_row = div1->n_row;
1017 n_col = div1->n_col;
1018 div1->n_row = div2->n_row;
1019 div1->n_col = div2->n_col;
1021 equal = isl_mat_is_equal(div1, div2);
1023 div1->n_row = n_row;
1024 div1->n_col = n_col;
1029 static void expand_row(__isl_keep isl_mat *dst, int d,
1030 __isl_keep isl_mat *src, int s, int *exp)
1033 unsigned c = src->n_col - src->n_row;
1035 isl_seq_cpy(dst->row[d], src->row[s], c);
1036 isl_seq_clr(dst->row[d] + c, dst->n_col - c);
1038 for (i = 0; i < s; ++i)
1039 isl_int_set(dst->row[d][c + exp[i]], src->row[s][c + i]);
1042 static int cmp_row(__isl_keep isl_mat *div, int i, int j)
1046 li = isl_seq_last_non_zero(div->row[i], div->n_col);
1047 lj = isl_seq_last_non_zero(div->row[j], div->n_col);
1052 return isl_seq_cmp(div->row[i], div->row[j], div->n_col);
1055 struct isl_div_sort_info {
1060 static int div_sort_cmp(const void *p1, const void *p2)
1062 const struct isl_div_sort_info *i1, *i2;
1063 i1 = (const struct isl_div_sort_info *) p1;
1064 i2 = (const struct isl_div_sort_info *) p2;
1066 return cmp_row(i1->div, i1->row, i2->row);
1069 static __isl_give isl_qpolynomial *sort_divs(__isl_take isl_qpolynomial *qp)
1072 struct isl_div_sort_info *array = NULL;
1074 int *reordering = NULL;
1079 if (qp->div->n_row <= 1)
1082 div_pos = isl_dim_total(qp->dim);
1084 array = isl_alloc_array(qp->div->ctx, struct isl_div_sort_info,
1086 pos = isl_alloc_array(qp->div->ctx, int, qp->div->n_row);
1087 reordering = isl_alloc_array(qp->div->ctx, int, qp->div->n_col - 2);
1088 if (!array || !pos || !reordering)
1091 for (i = 0; i < qp->div->n_row; ++i) {
1092 array[i].div = qp->div;
1097 qsort(array, qp->div->n_row, sizeof(struct isl_div_sort_info),
1100 for (i = 0; i < div_pos; ++i)
1103 for (i = 0; i < qp->div->n_row; ++i)
1104 reordering[div_pos + array[i].row] = div_pos + i;
1106 for (i = 0; i < qp->div->n_row; ++i) {
1108 if (pos[array[i].row] == i)
1110 qp->div = isl_mat_cow(qp->div);
1111 qp->div = isl_mat_swap_rows(qp->div, i, pos[array[i].row]);
1112 t = pos[array[i].row];
1113 pos[array[i].row] = pos[i];
1117 qp->upoly = reorder(qp->upoly, reordering);
1119 if (!qp->upoly || !qp->div)
1131 isl_qpolynomial_free(qp);
1135 static __isl_give isl_mat *merge_divs(__isl_keep isl_mat *div1,
1136 __isl_keep isl_mat *div2, int *exp1, int *exp2)
1139 isl_mat *div = NULL;
1140 unsigned d = div1->n_col - div1->n_row;
1142 div = isl_mat_alloc(div1->ctx, 1 + div1->n_row + div2->n_row,
1143 d + div1->n_row + div2->n_row);
1147 for (i = 0, j = 0, k = 0; i < div1->n_row && j < div2->n_row; ++k) {
1150 expand_row(div, k, div1, i, exp1);
1151 expand_row(div, k + 1, div2, j, exp2);
1153 cmp = cmp_row(div, k, k + 1);
1157 } else if (cmp < 0) {
1161 isl_seq_cpy(div->row[k], div->row[k + 1], div->n_col);
1164 for (; i < div1->n_row; ++i, ++k) {
1165 expand_row(div, k, div1, i, exp1);
1168 for (; j < div2->n_row; ++j, ++k) {
1169 expand_row(div, k, div2, j, exp2);
1179 static __isl_give struct isl_upoly *expand(__isl_take struct isl_upoly *up,
1180 int *exp, int first)
1183 struct isl_upoly_rec *rec;
1185 if (isl_upoly_is_cst(up))
1188 if (up->var < first)
1191 if (exp[up->var - first] == up->var - first)
1194 up = isl_upoly_cow(up);
1198 up->var = exp[up->var - first] + first;
1200 rec = isl_upoly_as_rec(up);
1204 for (i = 0; i < rec->n; ++i) {
1205 rec->p[i] = expand(rec->p[i], exp, first);
1216 static __isl_give isl_qpolynomial *with_merged_divs(
1217 __isl_give isl_qpolynomial *(*fn)(__isl_take isl_qpolynomial *qp1,
1218 __isl_take isl_qpolynomial *qp2),
1219 __isl_take isl_qpolynomial *qp1, __isl_take isl_qpolynomial *qp2)
1223 isl_mat *div = NULL;
1225 qp1 = isl_qpolynomial_cow(qp1);
1226 qp2 = isl_qpolynomial_cow(qp2);
1231 isl_assert(qp1->div->ctx, qp1->div->n_row >= qp2->div->n_row &&
1232 qp1->div->n_col >= qp2->div->n_col, goto error);
1234 exp1 = isl_alloc_array(qp1->div->ctx, int, qp1->div->n_row);
1235 exp2 = isl_alloc_array(qp2->div->ctx, int, qp2->div->n_row);
1239 div = merge_divs(qp1->div, qp2->div, exp1, exp2);
1243 isl_mat_free(qp1->div);
1244 qp1->div = isl_mat_copy(div);
1245 isl_mat_free(qp2->div);
1246 qp2->div = isl_mat_copy(div);
1248 qp1->upoly = expand(qp1->upoly, exp1, div->n_col - div->n_row - 2);
1249 qp2->upoly = expand(qp2->upoly, exp2, div->n_col - div->n_row - 2);
1251 if (!qp1->upoly || !qp2->upoly)
1258 return fn(qp1, qp2);
1263 isl_qpolynomial_free(qp1);
1264 isl_qpolynomial_free(qp2);
1268 __isl_give isl_qpolynomial *isl_qpolynomial_add(__isl_take isl_qpolynomial *qp1,
1269 __isl_take isl_qpolynomial *qp2)
1271 qp1 = isl_qpolynomial_cow(qp1);
1276 if (qp1->div->n_row < qp2->div->n_row)
1277 return isl_qpolynomial_add(qp2, qp1);
1279 isl_assert(qp1->dim->ctx, isl_dim_equal(qp1->dim, qp2->dim), goto error);
1280 if (!compatible_divs(qp1->div, qp2->div))
1281 return with_merged_divs(isl_qpolynomial_add, qp1, qp2);
1283 qp1->upoly = isl_upoly_sum(qp1->upoly, isl_upoly_copy(qp2->upoly));
1287 isl_qpolynomial_free(qp2);
1291 isl_qpolynomial_free(qp1);
1292 isl_qpolynomial_free(qp2);
1296 __isl_give isl_qpolynomial *isl_qpolynomial_sub(__isl_take isl_qpolynomial *qp1,
1297 __isl_take isl_qpolynomial *qp2)
1299 return isl_qpolynomial_add(qp1, isl_qpolynomial_neg(qp2));
1302 __isl_give isl_qpolynomial *isl_qpolynomial_neg(__isl_take isl_qpolynomial *qp)
1304 qp = isl_qpolynomial_cow(qp);
1309 qp->upoly = isl_upoly_neg(qp->upoly);
1315 isl_qpolynomial_free(qp);
1319 __isl_give isl_qpolynomial *isl_qpolynomial_mul(__isl_take isl_qpolynomial *qp1,
1320 __isl_take isl_qpolynomial *qp2)
1322 qp1 = isl_qpolynomial_cow(qp1);
1327 if (qp1->div->n_row < qp2->div->n_row)
1328 return isl_qpolynomial_mul(qp2, qp1);
1330 isl_assert(qp1->dim->ctx, isl_dim_equal(qp1->dim, qp2->dim), goto error);
1331 if (!compatible_divs(qp1->div, qp2->div))
1332 return with_merged_divs(isl_qpolynomial_mul, qp1, qp2);
1334 qp1->upoly = isl_upoly_mul(qp1->upoly, isl_upoly_copy(qp2->upoly));
1338 isl_qpolynomial_free(qp2);
1342 isl_qpolynomial_free(qp1);
1343 isl_qpolynomial_free(qp2);
1347 __isl_give isl_qpolynomial *isl_qpolynomial_zero(__isl_take isl_dim *dim)
1349 return isl_qpolynomial_alloc(dim, 0, isl_upoly_zero(dim->ctx));
1352 __isl_give isl_qpolynomial *isl_qpolynomial_infty(__isl_take isl_dim *dim)
1354 return isl_qpolynomial_alloc(dim, 0, isl_upoly_infty(dim->ctx));
1357 __isl_give isl_qpolynomial *isl_qpolynomial_neginfty(__isl_take isl_dim *dim)
1359 return isl_qpolynomial_alloc(dim, 0, isl_upoly_neginfty(dim->ctx));
1362 __isl_give isl_qpolynomial *isl_qpolynomial_nan(__isl_take isl_dim *dim)
1364 return isl_qpolynomial_alloc(dim, 0, isl_upoly_nan(dim->ctx));
1367 __isl_give isl_qpolynomial *isl_qpolynomial_cst(__isl_take isl_dim *dim,
1370 struct isl_qpolynomial *qp;
1371 struct isl_upoly_cst *cst;
1373 qp = isl_qpolynomial_alloc(dim, 0, isl_upoly_zero(dim->ctx));
1377 cst = isl_upoly_as_cst(qp->upoly);
1378 isl_int_set(cst->n, v);
1383 int isl_qpolynomial_is_cst(__isl_keep isl_qpolynomial *qp,
1384 isl_int *n, isl_int *d)
1386 struct isl_upoly_cst *cst;
1391 if (!isl_upoly_is_cst(qp->upoly))
1394 cst = isl_upoly_as_cst(qp->upoly);
1399 isl_int_set(*n, cst->n);
1401 isl_int_set(*d, cst->d);
1406 int isl_upoly_is_affine(__isl_keep struct isl_upoly *up)
1409 struct isl_upoly_rec *rec;
1417 rec = isl_upoly_as_rec(up);
1424 isl_assert(up->ctx, rec->n > 1, return -1);
1426 is_cst = isl_upoly_is_cst(rec->p[1]);
1432 return isl_upoly_is_affine(rec->p[0]);
1435 int isl_qpolynomial_is_affine(__isl_keep isl_qpolynomial *qp)
1440 if (qp->div->n_row > 0)
1443 return isl_upoly_is_affine(qp->upoly);
1446 static void update_coeff(__isl_keep isl_vec *aff,
1447 __isl_keep struct isl_upoly_cst *cst, int pos)
1452 if (isl_int_is_zero(cst->n))
1457 isl_int_gcd(gcd, cst->d, aff->el[0]);
1458 isl_int_divexact(f, cst->d, gcd);
1459 isl_int_divexact(gcd, aff->el[0], gcd);
1460 isl_seq_scale(aff->el, aff->el, f, aff->size);
1461 isl_int_mul(aff->el[1 + pos], gcd, cst->n);
1466 int isl_upoly_update_affine(__isl_keep struct isl_upoly *up,
1467 __isl_keep isl_vec *aff)
1469 struct isl_upoly_cst *cst;
1470 struct isl_upoly_rec *rec;
1476 struct isl_upoly_cst *cst;
1478 cst = isl_upoly_as_cst(up);
1481 update_coeff(aff, cst, 0);
1485 rec = isl_upoly_as_rec(up);
1488 isl_assert(up->ctx, rec->n == 2, return -1);
1490 cst = isl_upoly_as_cst(rec->p[1]);
1493 update_coeff(aff, cst, 1 + up->var);
1495 return isl_upoly_update_affine(rec->p[0], aff);
1498 __isl_give isl_vec *isl_qpolynomial_extract_affine(
1499 __isl_keep isl_qpolynomial *qp)
1507 isl_assert(qp->div->ctx, qp->div->n_row == 0, return NULL);
1508 d = isl_dim_total(qp->dim);
1509 aff = isl_vec_alloc(qp->div->ctx, 2 + d);
1513 isl_seq_clr(aff->el + 1, 1 + d);
1514 isl_int_set_si(aff->el[0], 1);
1516 if (isl_upoly_update_affine(qp->upoly, aff) < 0)
1525 int isl_qpolynomial_is_equal(__isl_keep isl_qpolynomial *qp1,
1526 __isl_keep isl_qpolynomial *qp2)
1531 return isl_upoly_is_equal(qp1->upoly, qp2->upoly);
1534 static void upoly_update_den(__isl_keep struct isl_upoly *up, isl_int *d)
1537 struct isl_upoly_rec *rec;
1539 if (isl_upoly_is_cst(up)) {
1540 struct isl_upoly_cst *cst;
1541 cst = isl_upoly_as_cst(up);
1544 isl_int_lcm(*d, *d, cst->d);
1548 rec = isl_upoly_as_rec(up);
1552 for (i = 0; i < rec->n; ++i)
1553 upoly_update_den(rec->p[i], d);
1556 void isl_qpolynomial_get_den(__isl_keep isl_qpolynomial *qp, isl_int *d)
1558 isl_int_set_si(*d, 1);
1561 upoly_update_den(qp->upoly, d);
1564 __isl_give isl_qpolynomial *isl_qpolynomial_pow(__isl_take isl_dim *dim,
1567 struct isl_ctx *ctx;
1574 return isl_qpolynomial_alloc(dim, 0, isl_upoly_pow(ctx, pos, power));
1577 __isl_give isl_qpolynomial *isl_qpolynomial_var(__isl_take isl_dim *dim,
1578 enum isl_dim_type type, unsigned pos)
1583 isl_assert(dim->ctx, isl_dim_size(dim, isl_dim_in) == 0, goto error);
1584 isl_assert(dim->ctx, pos < isl_dim_size(dim, type), goto error);
1586 if (type == isl_dim_set)
1587 pos += isl_dim_size(dim, isl_dim_param);
1589 return isl_qpolynomial_pow(dim, pos, 1);
1595 __isl_give isl_qpolynomial *isl_qpolynomial_div_pow(__isl_take isl_div *div,
1598 struct isl_qpolynomial *qp = NULL;
1599 struct isl_upoly_rec *rec;
1600 struct isl_upoly_cst *cst;
1606 isl_assert(div->ctx, div->bmap->n_div == 1, goto error);
1608 pos = isl_dim_total(div->bmap->dim);
1609 rec = isl_upoly_alloc_rec(div->ctx, pos, 1 + power);
1610 qp = isl_qpolynomial_alloc(isl_basic_map_get_dim(div->bmap), 1,
1615 isl_seq_cpy(qp->div->row[0], div->line[0], qp->div->n_col - 1);
1616 isl_int_set_si(qp->div->row[0][qp->div->n_col - 1], 0);
1618 for (i = 0; i < 1 + power; ++i) {
1619 rec->p[i] = isl_upoly_zero(div->ctx);
1624 cst = isl_upoly_as_cst(rec->p[power]);
1625 isl_int_set_si(cst->n, 1);
1631 isl_qpolynomial_free(qp);
1636 __isl_give isl_qpolynomial *isl_qpolynomial_div(__isl_take isl_div *div)
1638 return isl_qpolynomial_div_pow(div, 1);
1641 __isl_give isl_qpolynomial *isl_qpolynomial_rat_cst(__isl_take isl_dim *dim,
1642 const isl_int n, const isl_int d)
1644 struct isl_qpolynomial *qp;
1645 struct isl_upoly_cst *cst;
1647 qp = isl_qpolynomial_alloc(dim, 0, isl_upoly_zero(dim->ctx));
1651 cst = isl_upoly_as_cst(qp->upoly);
1652 isl_int_set(cst->n, n);
1653 isl_int_set(cst->d, d);
1658 static int up_set_active(__isl_keep struct isl_upoly *up, int *active, int d)
1660 struct isl_upoly_rec *rec;
1666 if (isl_upoly_is_cst(up))
1670 active[up->var] = 1;
1672 rec = isl_upoly_as_rec(up);
1673 for (i = 0; i < rec->n; ++i)
1674 if (up_set_active(rec->p[i], active, d) < 0)
1680 static int set_active(__isl_keep isl_qpolynomial *qp, int *active)
1683 int d = isl_dim_total(qp->dim);
1688 for (i = 0; i < d; ++i)
1689 for (j = 0; j < qp->div->n_row; ++j) {
1690 if (isl_int_is_zero(qp->div->row[j][2 + i]))
1696 return up_set_active(qp->upoly, active, d);
1699 int isl_qpolynomial_involves_dims(__isl_keep isl_qpolynomial *qp,
1700 enum isl_dim_type type, unsigned first, unsigned n)
1711 isl_assert(qp->dim->ctx, first + n <= isl_dim_size(qp->dim, type),
1713 isl_assert(qp->dim->ctx, type == isl_dim_param ||
1714 type == isl_dim_set, return -1);
1716 active = isl_calloc_array(set->ctx, int, isl_dim_total(qp->dim));
1717 if (set_active(qp, active) < 0)
1720 if (type == isl_dim_set)
1721 first += isl_dim_size(qp->dim, isl_dim_param);
1722 for (i = 0; i < n; ++i)
1723 if (active[first + i]) {
1736 __isl_give struct isl_upoly *isl_upoly_drop(__isl_take struct isl_upoly *up,
1737 unsigned first, unsigned n)
1740 struct isl_upoly_rec *rec;
1744 if (n == 0 || up->var < 0 || up->var < first)
1746 if (up->var < first + n) {
1747 up = replace_by_constant_term(up);
1748 return isl_upoly_drop(up, first, n);
1750 up = isl_upoly_cow(up);
1754 rec = isl_upoly_as_rec(up);
1758 for (i = 0; i < rec->n; ++i) {
1759 rec->p[i] = isl_upoly_drop(rec->p[i], first, n);
1770 __isl_give isl_qpolynomial *isl_qpolynomial_drop_dims(
1771 __isl_take isl_qpolynomial *qp,
1772 enum isl_dim_type type, unsigned first, unsigned n)
1776 if (n == 0 && !isl_dim_get_tuple_name(qp->dim, type))
1779 qp = isl_qpolynomial_cow(qp);
1783 isl_assert(qp->dim->ctx, first + n <= isl_dim_size(qp->dim, type),
1785 isl_assert(qp->dim->ctx, type == isl_dim_param ||
1786 type == isl_dim_set, goto error);
1788 qp->dim = isl_dim_drop(qp->dim, type, first, n);
1792 if (type == isl_dim_set)
1793 first += isl_dim_size(qp->dim, isl_dim_param);
1795 qp->div = isl_mat_drop_cols(qp->div, 2 + first, n);
1799 qp->upoly = isl_upoly_drop(qp->upoly, first, n);
1805 isl_qpolynomial_free(qp);
1809 __isl_give struct isl_upoly *isl_upoly_subs(__isl_take struct isl_upoly *up,
1810 unsigned first, unsigned n, __isl_keep struct isl_upoly **subs)
1813 struct isl_upoly_rec *rec;
1814 struct isl_upoly *base, *res;
1819 if (isl_upoly_is_cst(up))
1822 if (up->var < first)
1825 rec = isl_upoly_as_rec(up);
1829 isl_assert(up->ctx, rec->n >= 1, goto error);
1831 if (up->var >= first + n)
1832 base = isl_upoly_pow(up->ctx, up->var, 1);
1834 base = isl_upoly_copy(subs[up->var - first]);
1836 res = isl_upoly_subs(isl_upoly_copy(rec->p[rec->n - 1]), first, n, subs);
1837 for (i = rec->n - 2; i >= 0; --i) {
1838 struct isl_upoly *t;
1839 t = isl_upoly_subs(isl_upoly_copy(rec->p[i]), first, n, subs);
1840 res = isl_upoly_mul(res, isl_upoly_copy(base));
1841 res = isl_upoly_sum(res, t);
1844 isl_upoly_free(base);
1853 __isl_give struct isl_upoly *isl_upoly_from_affine(isl_ctx *ctx, isl_int *f,
1854 isl_int denom, unsigned len)
1857 struct isl_upoly *up;
1859 isl_assert(ctx, len >= 1, return NULL);
1861 up = isl_upoly_rat_cst(ctx, f[0], denom);
1862 for (i = 0; i < len - 1; ++i) {
1863 struct isl_upoly *t;
1864 struct isl_upoly *c;
1866 if (isl_int_is_zero(f[1 + i]))
1869 c = isl_upoly_rat_cst(ctx, f[1 + i], denom);
1870 t = isl_upoly_pow(ctx, i, 1);
1871 t = isl_upoly_mul(c, t);
1872 up = isl_upoly_sum(up, t);
1878 __isl_give isl_qpolynomial *isl_qpolynomial_substitute_equalities(
1879 __isl_take isl_qpolynomial *qp, __isl_take isl_basic_set *eq)
1884 struct isl_upoly *up;
1888 if (eq->n_eq == 0) {
1889 isl_basic_set_free(eq);
1893 qp = isl_qpolynomial_cow(qp);
1896 qp->div = isl_mat_cow(qp->div);
1900 total = 1 + isl_dim_total(eq->dim);
1901 isl_int_init(denom);
1902 for (i = 0; i < eq->n_eq; ++i) {
1903 j = isl_seq_last_non_zero(eq->eq[i], total);
1904 if (j < 0 || j == 0)
1907 for (k = 0; k < qp->div->n_row; ++k) {
1908 if (isl_int_is_zero(qp->div->row[k][1 + j]))
1910 isl_seq_elim(qp->div->row[k] + 1, eq->eq[i], j, total,
1911 &qp->div->row[k][0]);
1912 isl_seq_normalize(qp->div->ctx,
1913 qp->div->row[k], 1 + total);
1916 if (isl_int_is_pos(eq->eq[i][j]))
1917 isl_seq_neg(eq->eq[i], eq->eq[i], total);
1918 isl_int_abs(denom, eq->eq[i][j]);
1919 isl_int_set_si(eq->eq[i][j], 0);
1921 up = isl_upoly_from_affine(qp->dim->ctx,
1922 eq->eq[i], denom, total);
1923 qp->upoly = isl_upoly_subs(qp->upoly, j - 1, 1, &up);
1926 isl_int_clear(denom);
1931 isl_basic_set_free(eq);
1937 isl_basic_set_free(eq);
1938 isl_qpolynomial_free(qp);
1943 #define PW isl_pw_qpolynomial
1945 #define EL isl_qpolynomial
1947 #define IS_ZERO is_zero
1951 #define ADD(d,e1,e2) isl_qpolynomial_add(e1,e2)
1953 #include <isl_pw_templ.c>
1956 #define UNION isl_union_pw_qpolynomial
1958 #define PART isl_pw_qpolynomial
1960 #define PARTS pw_qpolynomial
1962 #include <isl_union_templ.c>
1964 int isl_pw_qpolynomial_is_one(__isl_keep isl_pw_qpolynomial *pwqp)
1972 if (!isl_set_fast_is_universe(pwqp->p[0].set))
1975 return isl_qpolynomial_is_one(pwqp->p[0].qp);
1978 __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_mul(
1979 __isl_take isl_pw_qpolynomial *pwqp1,
1980 __isl_take isl_pw_qpolynomial *pwqp2)
1983 struct isl_pw_qpolynomial *res;
1986 if (!pwqp1 || !pwqp2)
1989 isl_assert(pwqp1->dim->ctx, isl_dim_equal(pwqp1->dim, pwqp2->dim),
1992 if (isl_pw_qpolynomial_is_zero(pwqp1)) {
1993 isl_pw_qpolynomial_free(pwqp2);
1997 if (isl_pw_qpolynomial_is_zero(pwqp2)) {
1998 isl_pw_qpolynomial_free(pwqp1);
2002 if (isl_pw_qpolynomial_is_one(pwqp1)) {
2003 isl_pw_qpolynomial_free(pwqp1);
2007 if (isl_pw_qpolynomial_is_one(pwqp2)) {
2008 isl_pw_qpolynomial_free(pwqp2);
2012 n = pwqp1->n * pwqp2->n;
2013 res = isl_pw_qpolynomial_alloc_(isl_dim_copy(pwqp1->dim), n);
2015 for (i = 0; i < pwqp1->n; ++i) {
2016 for (j = 0; j < pwqp2->n; ++j) {
2017 struct isl_set *common;
2018 struct isl_qpolynomial *prod;
2019 common = isl_set_intersect(isl_set_copy(pwqp1->p[i].set),
2020 isl_set_copy(pwqp2->p[j].set));
2021 if (isl_set_fast_is_empty(common)) {
2022 isl_set_free(common);
2026 prod = isl_qpolynomial_mul(
2027 isl_qpolynomial_copy(pwqp1->p[i].qp),
2028 isl_qpolynomial_copy(pwqp2->p[j].qp));
2030 res = isl_pw_qpolynomial_add_piece(res, common, prod);
2034 isl_pw_qpolynomial_free(pwqp1);
2035 isl_pw_qpolynomial_free(pwqp2);
2039 isl_pw_qpolynomial_free(pwqp1);
2040 isl_pw_qpolynomial_free(pwqp2);
2044 __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_neg(
2045 __isl_take isl_pw_qpolynomial *pwqp)
2048 struct isl_pw_qpolynomial *res;
2054 if (isl_pw_qpolynomial_is_zero(pwqp))
2057 pwqp = isl_pw_qpolynomial_cow(pwqp);
2059 for (i = 0; i < pwqp->n; ++i) {
2060 pwqp->p[i].qp = isl_qpolynomial_neg(pwqp->p[i].qp);
2067 isl_pw_qpolynomial_free(pwqp);
2071 __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_sub(
2072 __isl_take isl_pw_qpolynomial *pwqp1,
2073 __isl_take isl_pw_qpolynomial *pwqp2)
2075 return isl_pw_qpolynomial_add(pwqp1, isl_pw_qpolynomial_neg(pwqp2));
2078 __isl_give struct isl_upoly *isl_upoly_eval(
2079 __isl_take struct isl_upoly *up, __isl_take isl_vec *vec)
2082 struct isl_upoly_rec *rec;
2083 struct isl_upoly *res;
2084 struct isl_upoly *base;
2086 if (isl_upoly_is_cst(up)) {
2091 rec = isl_upoly_as_rec(up);
2095 isl_assert(up->ctx, rec->n >= 1, goto error);
2097 base = isl_upoly_rat_cst(up->ctx, vec->el[1 + up->var], vec->el[0]);
2099 res = isl_upoly_eval(isl_upoly_copy(rec->p[rec->n - 1]),
2102 for (i = rec->n - 2; i >= 0; --i) {
2103 res = isl_upoly_mul(res, isl_upoly_copy(base));
2104 res = isl_upoly_sum(res,
2105 isl_upoly_eval(isl_upoly_copy(rec->p[i]),
2106 isl_vec_copy(vec)));
2109 isl_upoly_free(base);
2119 __isl_give isl_qpolynomial *isl_qpolynomial_eval(
2120 __isl_take isl_qpolynomial *qp, __isl_take isl_point *pnt)
2123 struct isl_upoly *up;
2128 isl_assert(pnt->dim->ctx, isl_dim_equal(pnt->dim, qp->dim), goto error);
2130 if (qp->div->n_row == 0)
2131 ext = isl_vec_copy(pnt->vec);
2134 unsigned dim = isl_dim_total(qp->dim);
2135 ext = isl_vec_alloc(qp->dim->ctx, 1 + dim + qp->div->n_row);
2139 isl_seq_cpy(ext->el, pnt->vec->el, pnt->vec->size);
2140 for (i = 0; i < qp->div->n_row; ++i) {
2141 isl_seq_inner_product(qp->div->row[i] + 1, ext->el,
2142 1 + dim + i, &ext->el[1+dim+i]);
2143 isl_int_fdiv_q(ext->el[1+dim+i], ext->el[1+dim+i],
2144 qp->div->row[i][0]);
2148 up = isl_upoly_eval(isl_upoly_copy(qp->upoly), ext);
2152 dim = isl_dim_copy(qp->dim);
2153 isl_qpolynomial_free(qp);
2154 isl_point_free(pnt);
2156 return isl_qpolynomial_alloc(dim, 0, up);
2158 isl_qpolynomial_free(qp);
2159 isl_point_free(pnt);
2163 int isl_upoly_cmp(__isl_keep struct isl_upoly_cst *cst1,
2164 __isl_keep struct isl_upoly_cst *cst2)
2169 isl_int_mul(t, cst1->n, cst2->d);
2170 isl_int_submul(t, cst2->n, cst1->d);
2171 cmp = isl_int_sgn(t);
2176 int isl_qpolynomial_le_cst(__isl_keep isl_qpolynomial *qp1,
2177 __isl_keep isl_qpolynomial *qp2)
2179 struct isl_upoly_cst *cst1, *cst2;
2183 isl_assert(qp1->dim->ctx, isl_upoly_is_cst(qp1->upoly), return -1);
2184 isl_assert(qp2->dim->ctx, isl_upoly_is_cst(qp2->upoly), return -1);
2185 if (isl_qpolynomial_is_nan(qp1))
2187 if (isl_qpolynomial_is_nan(qp2))
2189 cst1 = isl_upoly_as_cst(qp1->upoly);
2190 cst2 = isl_upoly_as_cst(qp2->upoly);
2192 return isl_upoly_cmp(cst1, cst2) <= 0;
2195 __isl_give isl_qpolynomial *isl_qpolynomial_min_cst(
2196 __isl_take isl_qpolynomial *qp1, __isl_take isl_qpolynomial *qp2)
2198 struct isl_upoly_cst *cst1, *cst2;
2203 isl_assert(qp1->dim->ctx, isl_upoly_is_cst(qp1->upoly), goto error);
2204 isl_assert(qp2->dim->ctx, isl_upoly_is_cst(qp2->upoly), goto error);
2205 cst1 = isl_upoly_as_cst(qp1->upoly);
2206 cst2 = isl_upoly_as_cst(qp2->upoly);
2207 cmp = isl_upoly_cmp(cst1, cst2);
2210 isl_qpolynomial_free(qp2);
2212 isl_qpolynomial_free(qp1);
2217 isl_qpolynomial_free(qp1);
2218 isl_qpolynomial_free(qp2);
2222 __isl_give isl_qpolynomial *isl_qpolynomial_max_cst(
2223 __isl_take isl_qpolynomial *qp1, __isl_take isl_qpolynomial *qp2)
2225 struct isl_upoly_cst *cst1, *cst2;
2230 isl_assert(qp1->dim->ctx, isl_upoly_is_cst(qp1->upoly), goto error);
2231 isl_assert(qp2->dim->ctx, isl_upoly_is_cst(qp2->upoly), goto error);
2232 cst1 = isl_upoly_as_cst(qp1->upoly);
2233 cst2 = isl_upoly_as_cst(qp2->upoly);
2234 cmp = isl_upoly_cmp(cst1, cst2);
2237 isl_qpolynomial_free(qp2);
2239 isl_qpolynomial_free(qp1);
2244 isl_qpolynomial_free(qp1);
2245 isl_qpolynomial_free(qp2);
2249 __isl_give isl_qpolynomial *isl_qpolynomial_insert_dims(
2250 __isl_take isl_qpolynomial *qp, enum isl_dim_type type,
2251 unsigned first, unsigned n)
2260 qp = isl_qpolynomial_cow(qp);
2264 isl_assert(qp->div->ctx, first <= isl_dim_size(qp->dim, type),
2267 g_pos = pos(qp->dim, type) + first;
2269 qp->div = isl_mat_insert_cols(qp->div, 2 + g_pos, n);
2273 total = qp->div->n_col - 2;
2274 if (total > g_pos) {
2276 exp = isl_alloc_array(qp->div->ctx, int, total - g_pos);
2279 for (i = 0; i < total - g_pos; ++i)
2281 qp->upoly = expand(qp->upoly, exp, g_pos);
2287 qp->dim = isl_dim_insert(qp->dim, type, first, n);
2293 isl_qpolynomial_free(qp);
2297 __isl_give isl_qpolynomial *isl_qpolynomial_add_dims(
2298 __isl_take isl_qpolynomial *qp, enum isl_dim_type type, unsigned n)
2302 pos = isl_qpolynomial_dim(qp, type);
2304 return isl_qpolynomial_insert_dims(qp, type, pos, n);
2307 __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_insert_dims(
2308 __isl_take isl_pw_qpolynomial *pwqp, enum isl_dim_type type,
2309 unsigned first, unsigned n)
2316 pwqp = isl_pw_qpolynomial_cow(pwqp);
2320 pwqp->dim = isl_dim_insert(pwqp->dim, type, first, n);
2324 for (i = 0; i < pwqp->n; ++i) {
2325 pwqp->p[i].set = isl_set_insert(pwqp->p[i].set, type, first, n);
2326 if (!pwqp->p[i].set)
2328 pwqp->p[i].qp = isl_qpolynomial_insert_dims(pwqp->p[i].qp,
2336 isl_pw_qpolynomial_free(pwqp);
2340 __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_add_dims(
2341 __isl_take isl_pw_qpolynomial *pwqp,
2342 enum isl_dim_type type, unsigned n)
2346 pos = isl_pw_qpolynomial_dim(pwqp, type);
2348 return isl_pw_qpolynomial_insert_dims(pwqp, type, pos, n);
2351 static int *reordering_move(isl_ctx *ctx,
2352 unsigned len, unsigned dst, unsigned src, unsigned n)
2357 reordering = isl_alloc_array(ctx, int, len);
2362 for (i = 0; i < dst; ++i)
2364 for (i = 0; i < n; ++i)
2365 reordering[src + i] = dst + i;
2366 for (i = 0; i < src - dst; ++i)
2367 reordering[dst + i] = dst + n + i;
2368 for (i = 0; i < len - src - n; ++i)
2369 reordering[src + n + i] = src + n + i;
2371 for (i = 0; i < src; ++i)
2373 for (i = 0; i < n; ++i)
2374 reordering[src + i] = dst + i;
2375 for (i = 0; i < dst - src; ++i)
2376 reordering[src + n + i] = src + i;
2377 for (i = 0; i < len - dst - n; ++i)
2378 reordering[dst + n + i] = dst + n + i;
2384 __isl_give isl_qpolynomial *isl_qpolynomial_move_dims(
2385 __isl_take isl_qpolynomial *qp,
2386 enum isl_dim_type dst_type, unsigned dst_pos,
2387 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
2393 qp = isl_qpolynomial_cow(qp);
2397 isl_assert(qp->dim->ctx, src_pos + n <= isl_dim_size(qp->dim, src_type),
2400 g_dst_pos = pos(qp->dim, dst_type) + dst_pos;
2401 g_src_pos = pos(qp->dim, src_type) + src_pos;
2402 if (dst_type > src_type)
2405 qp->div = isl_mat_move_cols(qp->div, 2 + g_dst_pos, 2 + g_src_pos, n);
2412 reordering = reordering_move(qp->dim->ctx,
2413 qp->div->n_col - 2, g_dst_pos, g_src_pos, n);
2417 qp->upoly = reorder(qp->upoly, reordering);
2422 qp->dim = isl_dim_move(qp->dim, dst_type, dst_pos, src_type, src_pos, n);
2428 isl_qpolynomial_free(qp);
2432 __isl_give isl_qpolynomial *isl_qpolynomial_from_affine(__isl_take isl_dim *dim,
2433 isl_int *f, isl_int denom)
2435 struct isl_upoly *up;
2440 up = isl_upoly_from_affine(dim->ctx, f, denom, 1 + isl_dim_total(dim));
2442 return isl_qpolynomial_alloc(dim, 0, up);
2445 __isl_give isl_qpolynomial *isl_qpolynomial_from_constraint(
2446 __isl_take isl_constraint *c, enum isl_dim_type type, unsigned pos)
2450 struct isl_upoly *up;
2451 isl_qpolynomial *qp;
2457 isl_int_init(denom);
2459 isl_constraint_get_coefficient(c, type, pos, &denom);
2460 isl_constraint_set_coefficient(c, type, pos, c->ctx->zero);
2461 sgn = isl_int_sgn(denom);
2462 isl_int_abs(denom, denom);
2463 up = isl_upoly_from_affine(c->ctx, c->line[0], denom,
2464 1 + isl_constraint_dim(c, isl_dim_all));
2466 isl_int_neg(denom, denom);
2467 isl_constraint_set_coefficient(c, type, pos, denom);
2469 dim = isl_dim_copy(c->bmap->dim);
2471 isl_int_clear(denom);
2472 isl_constraint_free(c);
2474 qp = isl_qpolynomial_alloc(dim, 0, up);
2476 qp = isl_qpolynomial_neg(qp);
2480 /* For each 0 <= i < "n", replace variable "first" + i of type "type"
2481 * in "qp" by subs[i].
2483 __isl_give isl_qpolynomial *isl_qpolynomial_substitute(
2484 __isl_take isl_qpolynomial *qp,
2485 enum isl_dim_type type, unsigned first, unsigned n,
2486 __isl_keep isl_qpolynomial **subs)
2489 struct isl_upoly **ups;
2494 qp = isl_qpolynomial_cow(qp);
2497 for (i = 0; i < n; ++i)
2501 isl_assert(qp->dim->ctx, first + n <= isl_dim_size(qp->dim, type),
2504 for (i = 0; i < n; ++i)
2505 isl_assert(qp->dim->ctx, isl_dim_equal(qp->dim, subs[i]->dim),
2508 isl_assert(qp->dim->ctx, qp->div->n_row == 0, goto error);
2509 for (i = 0; i < n; ++i)
2510 isl_assert(qp->dim->ctx, subs[i]->div->n_row == 0, goto error);
2512 first += pos(qp->dim, type);
2514 ups = isl_alloc_array(qp->dim->ctx, struct isl_upoly *, n);
2517 for (i = 0; i < n; ++i)
2518 ups[i] = subs[i]->upoly;
2520 qp->upoly = isl_upoly_subs(qp->upoly, first, n, ups);
2529 isl_qpolynomial_free(qp);
2533 __isl_give isl_basic_set *add_div_constraints(__isl_take isl_basic_set *bset,
2534 __isl_take isl_mat *div)
2542 bset = isl_basic_set_extend_constraints(bset, 0, 2 * div->n_row);
2545 total = isl_basic_set_total_dim(bset);
2546 for (i = 0; i < div->n_row; ++i)
2547 if (isl_basic_set_add_div_constraints_var(bset,
2548 total - div->n_row + i, div->row[i]) < 0)
2555 isl_basic_set_free(bset);
2559 /* Extend "bset" with extra set dimensions for each integer division
2560 * in "qp" and then call "fn" with the extended bset and the polynomial
2561 * that results from replacing each of the integer divisions by the
2562 * corresponding extra set dimension.
2564 int isl_qpolynomial_as_polynomial_on_domain(__isl_keep isl_qpolynomial *qp,
2565 __isl_keep isl_basic_set *bset,
2566 int (*fn)(__isl_take isl_basic_set *bset,
2567 __isl_take isl_qpolynomial *poly, void *user), void *user)
2571 isl_qpolynomial *poly;
2575 if (qp->div->n_row == 0)
2576 return fn(isl_basic_set_copy(bset), isl_qpolynomial_copy(qp),
2579 div = isl_mat_copy(qp->div);
2580 dim = isl_dim_copy(qp->dim);
2581 dim = isl_dim_add(dim, isl_dim_set, qp->div->n_row);
2582 poly = isl_qpolynomial_alloc(dim, 0, isl_upoly_copy(qp->upoly));
2583 bset = isl_basic_set_copy(bset);
2584 bset = isl_basic_set_add(bset, isl_dim_set, qp->div->n_row);
2585 bset = add_div_constraints(bset, div);
2587 return fn(bset, poly, user);
2592 /* Return total degree in variables first (inclusive) up to last (exclusive).
2594 int isl_upoly_degree(__isl_keep struct isl_upoly *up, int first, int last)
2598 struct isl_upoly_rec *rec;
2602 if (isl_upoly_is_zero(up))
2604 if (isl_upoly_is_cst(up) || up->var < first)
2607 rec = isl_upoly_as_rec(up);
2611 for (i = 0; i < rec->n; ++i) {
2614 if (isl_upoly_is_zero(rec->p[i]))
2616 d = isl_upoly_degree(rec->p[i], first, last);
2626 /* Return total degree in set variables.
2628 int isl_qpolynomial_degree(__isl_keep isl_qpolynomial *poly)
2636 ovar = isl_dim_offset(poly->dim, isl_dim_set);
2637 nvar = isl_dim_size(poly->dim, isl_dim_set);
2638 return isl_upoly_degree(poly->upoly, ovar, ovar + nvar);
2641 __isl_give struct isl_upoly *isl_upoly_coeff(__isl_keep struct isl_upoly *up,
2642 unsigned pos, int deg)
2645 struct isl_upoly_rec *rec;
2650 if (isl_upoly_is_cst(up) || up->var < pos) {
2652 return isl_upoly_copy(up);
2654 return isl_upoly_zero(up->ctx);
2657 rec = isl_upoly_as_rec(up);
2661 if (up->var == pos) {
2663 return isl_upoly_copy(rec->p[deg]);
2665 return isl_upoly_zero(up->ctx);
2668 up = isl_upoly_copy(up);
2669 up = isl_upoly_cow(up);
2670 rec = isl_upoly_as_rec(up);
2674 for (i = 0; i < rec->n; ++i) {
2675 struct isl_upoly *t;
2676 t = isl_upoly_coeff(rec->p[i], pos, deg);
2679 isl_upoly_free(rec->p[i]);
2689 /* Return coefficient of power "deg" of variable "t_pos" of type "type".
2691 __isl_give isl_qpolynomial *isl_qpolynomial_coeff(
2692 __isl_keep isl_qpolynomial *qp,
2693 enum isl_dim_type type, unsigned t_pos, int deg)
2696 struct isl_upoly *up;
2702 isl_assert(qp->div->ctx, t_pos < isl_dim_size(qp->dim, type),
2705 g_pos = pos(qp->dim, type) + t_pos;
2706 up = isl_upoly_coeff(qp->upoly, g_pos, deg);
2708 c = isl_qpolynomial_alloc(isl_dim_copy(qp->dim), qp->div->n_row, up);
2711 isl_mat_free(c->div);
2712 c->div = isl_mat_copy(qp->div);
2717 isl_qpolynomial_free(c);
2721 /* Homogenize the polynomial in the variables first (inclusive) up to
2722 * last (exclusive) by inserting powers of variable first.
2723 * Variable first is assumed not to appear in the input.
2725 __isl_give struct isl_upoly *isl_upoly_homogenize(
2726 __isl_take struct isl_upoly *up, int deg, int target,
2727 int first, int last)
2730 struct isl_upoly_rec *rec;
2734 if (isl_upoly_is_zero(up))
2738 if (isl_upoly_is_cst(up) || up->var < first) {
2739 struct isl_upoly *hom;
2741 hom = isl_upoly_pow(up->ctx, first, target - deg);
2744 rec = isl_upoly_as_rec(hom);
2745 rec->p[target - deg] = isl_upoly_mul(rec->p[target - deg], up);
2750 up = isl_upoly_cow(up);
2751 rec = isl_upoly_as_rec(up);
2755 for (i = 0; i < rec->n; ++i) {
2756 if (isl_upoly_is_zero(rec->p[i]))
2758 rec->p[i] = isl_upoly_homogenize(rec->p[i],
2759 up->var < last ? deg + i : i, target,
2771 /* Homogenize the polynomial in the set variables by introducing
2772 * powers of an extra set variable at position 0.
2774 __isl_give isl_qpolynomial *isl_qpolynomial_homogenize(
2775 __isl_take isl_qpolynomial *poly)
2779 int deg = isl_qpolynomial_degree(poly);
2784 poly = isl_qpolynomial_insert_dims(poly, isl_dim_set, 0, 1);
2785 poly = isl_qpolynomial_cow(poly);
2789 ovar = isl_dim_offset(poly->dim, isl_dim_set);
2790 nvar = isl_dim_size(poly->dim, isl_dim_set);
2791 poly->upoly = isl_upoly_homogenize(poly->upoly, 0, deg,
2798 isl_qpolynomial_free(poly);
2802 __isl_give isl_term *isl_term_alloc(__isl_take isl_dim *dim,
2803 __isl_take isl_mat *div)
2811 n = isl_dim_total(dim) + div->n_row;
2813 term = isl_calloc(dim->ctx, struct isl_term,
2814 sizeof(struct isl_term) + (n - 1) * sizeof(int));
2821 isl_int_init(term->n);
2822 isl_int_init(term->d);
2831 __isl_give isl_term *isl_term_copy(__isl_keep isl_term *term)
2840 __isl_give isl_term *isl_term_dup(__isl_keep isl_term *term)
2849 total = isl_dim_total(term->dim) + term->div->n_row;
2851 dup = isl_term_alloc(isl_dim_copy(term->dim), isl_mat_copy(term->div));
2855 isl_int_set(dup->n, term->n);
2856 isl_int_set(dup->d, term->d);
2858 for (i = 0; i < total; ++i)
2859 dup->pow[i] = term->pow[i];
2864 __isl_give isl_term *isl_term_cow(__isl_take isl_term *term)
2872 return isl_term_dup(term);
2875 void isl_term_free(__isl_take isl_term *term)
2880 if (--term->ref > 0)
2883 isl_dim_free(term->dim);
2884 isl_mat_free(term->div);
2885 isl_int_clear(term->n);
2886 isl_int_clear(term->d);
2890 unsigned isl_term_dim(__isl_keep isl_term *term, enum isl_dim_type type)
2898 case isl_dim_out: return isl_dim_size(term->dim, type);
2899 case isl_dim_div: return term->div->n_row;
2900 case isl_dim_all: return isl_dim_total(term->dim) + term->div->n_row;
2905 isl_ctx *isl_term_get_ctx(__isl_keep isl_term *term)
2907 return term ? term->dim->ctx : NULL;
2910 void isl_term_get_num(__isl_keep isl_term *term, isl_int *n)
2914 isl_int_set(*n, term->n);
2917 void isl_term_get_den(__isl_keep isl_term *term, isl_int *d)
2921 isl_int_set(*d, term->d);
2924 int isl_term_get_exp(__isl_keep isl_term *term,
2925 enum isl_dim_type type, unsigned pos)
2930 isl_assert(term->dim->ctx, pos < isl_term_dim(term, type), return -1);
2932 if (type >= isl_dim_set)
2933 pos += isl_dim_size(term->dim, isl_dim_param);
2934 if (type >= isl_dim_div)
2935 pos += isl_dim_size(term->dim, isl_dim_set);
2937 return term->pow[pos];
2940 __isl_give isl_div *isl_term_get_div(__isl_keep isl_term *term, unsigned pos)
2942 isl_basic_map *bmap;
2949 isl_assert(term->dim->ctx, pos < isl_term_dim(term, isl_dim_div),
2952 total = term->div->n_col - term->div->n_row - 2;
2953 /* No nested divs for now */
2954 isl_assert(term->dim->ctx,
2955 isl_seq_first_non_zero(term->div->row[pos] + 2 + total,
2956 term->div->n_row) == -1,
2959 bmap = isl_basic_map_alloc_dim(isl_dim_copy(term->dim), 1, 0, 0);
2960 if ((k = isl_basic_map_alloc_div(bmap)) < 0)
2963 isl_seq_cpy(bmap->div[k], term->div->row[pos], 2 + total);
2965 return isl_basic_map_div(bmap, k);
2967 isl_basic_map_free(bmap);
2971 __isl_give isl_term *isl_upoly_foreach_term(__isl_keep struct isl_upoly *up,
2972 int (*fn)(__isl_take isl_term *term, void *user),
2973 __isl_take isl_term *term, void *user)
2976 struct isl_upoly_rec *rec;
2981 if (isl_upoly_is_zero(up))
2984 isl_assert(up->ctx, !isl_upoly_is_nan(up), goto error);
2985 isl_assert(up->ctx, !isl_upoly_is_infty(up), goto error);
2986 isl_assert(up->ctx, !isl_upoly_is_neginfty(up), goto error);
2988 if (isl_upoly_is_cst(up)) {
2989 struct isl_upoly_cst *cst;
2990 cst = isl_upoly_as_cst(up);
2993 term = isl_term_cow(term);
2996 isl_int_set(term->n, cst->n);
2997 isl_int_set(term->d, cst->d);
2998 if (fn(isl_term_copy(term), user) < 0)
3003 rec = isl_upoly_as_rec(up);
3007 for (i = 0; i < rec->n; ++i) {
3008 term = isl_term_cow(term);
3011 term->pow[up->var] = i;
3012 term = isl_upoly_foreach_term(rec->p[i], fn, term, user);
3016 term->pow[up->var] = 0;
3020 isl_term_free(term);
3024 int isl_qpolynomial_foreach_term(__isl_keep isl_qpolynomial *qp,
3025 int (*fn)(__isl_take isl_term *term, void *user), void *user)
3032 term = isl_term_alloc(isl_dim_copy(qp->dim), isl_mat_copy(qp->div));
3036 term = isl_upoly_foreach_term(qp->upoly, fn, term, user);
3038 isl_term_free(term);
3040 return term ? 0 : -1;
3043 __isl_give isl_qpolynomial *isl_qpolynomial_from_term(__isl_take isl_term *term)
3045 struct isl_upoly *up;
3046 isl_qpolynomial *qp;
3052 n = isl_dim_total(term->dim) + term->div->n_row;
3054 up = isl_upoly_rat_cst(term->dim->ctx, term->n, term->d);
3055 for (i = 0; i < n; ++i) {
3058 up = isl_upoly_mul(up,
3059 isl_upoly_pow(term->dim->ctx, i, term->pow[i]));
3062 qp = isl_qpolynomial_alloc(isl_dim_copy(term->dim), term->div->n_row, up);
3065 isl_mat_free(qp->div);
3066 qp->div = isl_mat_copy(term->div);
3070 isl_term_free(term);
3073 isl_qpolynomial_free(qp);
3074 isl_term_free(term);
3078 __isl_give isl_qpolynomial *isl_qpolynomial_lift(__isl_take isl_qpolynomial *qp,
3079 __isl_take isl_dim *dim)
3088 if (isl_dim_equal(qp->dim, dim)) {
3093 qp = isl_qpolynomial_cow(qp);
3097 extra = isl_dim_size(dim, isl_dim_set) -
3098 isl_dim_size(qp->dim, isl_dim_set);
3099 total = isl_dim_total(qp->dim);
3100 if (qp->div->n_row) {
3103 exp = isl_alloc_array(qp->div->ctx, int, qp->div->n_row);
3106 for (i = 0; i < qp->div->n_row; ++i)
3108 qp->upoly = expand(qp->upoly, exp, total);
3113 qp->div = isl_mat_insert_cols(qp->div, 2 + total, extra);
3116 for (i = 0; i < qp->div->n_row; ++i)
3117 isl_seq_clr(qp->div->row[i] + 2 + total, extra);
3119 isl_dim_free(qp->dim);
3125 isl_qpolynomial_free(qp);
3129 /* For each parameter or variable that does not appear in qp,
3130 * first eliminate the variable from all constraints and then set it to zero.
3132 static __isl_give isl_set *fix_inactive(__isl_take isl_set *set,
3133 __isl_keep isl_qpolynomial *qp)
3144 d = isl_dim_total(set->dim);
3145 active = isl_calloc_array(set->ctx, int, d);
3146 if (set_active(qp, active) < 0)
3149 for (i = 0; i < d; ++i)
3158 nparam = isl_dim_size(set->dim, isl_dim_param);
3159 nvar = isl_dim_size(set->dim, isl_dim_set);
3160 for (i = 0; i < nparam; ++i) {
3163 set = isl_set_eliminate(set, isl_dim_param, i, 1);
3164 set = isl_set_fix_si(set, isl_dim_param, i, 0);
3166 for (i = 0; i < nvar; ++i) {
3167 if (active[nparam + i])
3169 set = isl_set_eliminate(set, isl_dim_set, i, 1);
3170 set = isl_set_fix_si(set, isl_dim_set, i, 0);
3182 struct isl_opt_data {
3183 isl_qpolynomial *qp;
3185 isl_qpolynomial *opt;
3189 static int opt_fn(__isl_take isl_point *pnt, void *user)
3191 struct isl_opt_data *data = (struct isl_opt_data *)user;
3192 isl_qpolynomial *val;
3194 val = isl_qpolynomial_eval(isl_qpolynomial_copy(data->qp), pnt);
3198 } else if (data->max) {
3199 data->opt = isl_qpolynomial_max_cst(data->opt, val);
3201 data->opt = isl_qpolynomial_min_cst(data->opt, val);
3207 __isl_give isl_qpolynomial *isl_qpolynomial_opt_on_domain(
3208 __isl_take isl_qpolynomial *qp, __isl_take isl_set *set, int max)
3210 struct isl_opt_data data = { NULL, 1, NULL, max };
3215 if (isl_upoly_is_cst(qp->upoly)) {
3220 set = fix_inactive(set, qp);
3223 if (isl_set_foreach_point(set, opt_fn, &data) < 0)
3227 data.opt = isl_qpolynomial_zero(isl_qpolynomial_get_dim(qp));
3230 isl_qpolynomial_free(qp);
3234 isl_qpolynomial_free(qp);
3235 isl_qpolynomial_free(data.opt);
3239 __isl_give isl_qpolynomial *isl_qpolynomial_morph(__isl_take isl_qpolynomial *qp,
3240 __isl_take isl_morph *morph)
3244 struct isl_upoly *up;
3246 struct isl_upoly **subs;
3249 qp = isl_qpolynomial_cow(qp);
3254 isl_assert(ctx, isl_dim_equal(qp->dim, morph->dom->dim), goto error);
3256 subs = isl_calloc_array(ctx, struct isl_upoly *, morph->inv->n_row - 1);
3260 for (i = 0; 1 + i < morph->inv->n_row; ++i)
3261 subs[i] = isl_upoly_from_affine(ctx, morph->inv->row[1 + i],
3262 morph->inv->row[0][0], morph->inv->n_col);
3264 qp->upoly = isl_upoly_subs(qp->upoly, 0, morph->inv->n_row - 1, subs);
3266 for (i = 0; 1 + i < morph->inv->n_row; ++i)
3267 isl_upoly_free(subs[i]);
3270 mat = isl_mat_diagonal(isl_mat_identity(ctx, 1), isl_mat_copy(morph->inv));
3271 mat = isl_mat_diagonal(mat, isl_mat_identity(ctx, qp->div->n_row));
3272 qp->div = isl_mat_product(qp->div, mat);
3273 isl_dim_free(qp->dim);
3274 qp->dim = isl_dim_copy(morph->ran->dim);
3276 if (!qp->upoly || !qp->div || !qp->dim)
3279 isl_morph_free(morph);
3283 isl_qpolynomial_free(qp);
3284 isl_morph_free(morph);
3288 static int neg_entry(void **entry, void *user)
3290 isl_pw_qpolynomial **pwqp = (isl_pw_qpolynomial **)entry;
3292 *pwqp = isl_pw_qpolynomial_neg(*pwqp);
3294 return *pwqp ? 0 : -1;
3297 __isl_give isl_union_pw_qpolynomial *isl_union_pw_qpolynomial_neg(
3298 __isl_take isl_union_pw_qpolynomial *upwqp)
3300 upwqp = isl_union_pw_qpolynomial_cow(upwqp);
3304 if (isl_hash_table_foreach(upwqp->dim->ctx, &upwqp->table,
3305 &neg_entry, NULL) < 0)
3310 isl_union_pw_qpolynomial_free(upwqp);
3314 __isl_give isl_union_pw_qpolynomial *isl_union_pw_qpolynomial_sub(
3315 __isl_take isl_union_pw_qpolynomial *upwqp1,
3316 __isl_take isl_union_pw_qpolynomial *upwqp2)
3318 return isl_union_pw_qpolynomial_add(upwqp1,
3319 isl_union_pw_qpolynomial_neg(upwqp2));
3322 static int mul_entry(void **entry, void *user)
3324 struct isl_union_pw_qpolynomial_match_bin_data *data = user;
3326 struct isl_hash_table_entry *entry2;
3327 isl_pw_qpolynomial *pwpq = *entry;
3330 hash = isl_dim_get_hash(pwpq->dim);
3331 entry2 = isl_hash_table_find(data->upwqp2->dim->ctx,
3332 &data->upwqp2->table,
3333 hash, &has_dim, pwpq->dim, 0);
3337 pwpq = isl_pw_qpolynomial_copy(pwpq);
3338 pwpq = isl_pw_qpolynomial_mul(pwpq,
3339 isl_pw_qpolynomial_copy(entry2->data));
3341 empty = isl_pw_qpolynomial_is_zero(pwpq);
3343 isl_pw_qpolynomial_free(pwpq);
3347 isl_pw_qpolynomial_free(pwpq);
3351 data->res = isl_union_pw_qpolynomial_add_pw_qpolynomial(data->res, pwpq);
3356 __isl_give isl_union_pw_qpolynomial *isl_union_pw_qpolynomial_mul(
3357 __isl_take isl_union_pw_qpolynomial *upwqp1,
3358 __isl_take isl_union_pw_qpolynomial *upwqp2)
3360 return match_bin_op(upwqp1, upwqp2, &mul_entry);