2 * Copyright 2008-2009 Katholieke Universiteit Leuven
3 * Copyright 2010 INRIA Saclay
5 * Use of this software is governed by the GNU LGPLv2.1 license
7 * Written by Sven Verdoolaege, K.U.Leuven, Departement
8 * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
9 * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
10 * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
17 #include <isl_polynomial_private.h>
18 #include <isl_printer_private.h>
19 #include <isl_dim_private.h>
20 #include <isl_map_private.h>
22 static const char *s_to[2] = { " -> ", " \\to " };
23 static const char *s_and[2] = { " and ", " \\wedge " };
24 static const char *s_or[2] = { " or ", " \\vee " };
25 static const char *s_le[2] = { "<=", "\\le" };
26 static const char *s_ge[2] = { ">=", "\\ge" };
27 static const char *s_open_set[2] = { "{ ", "\\{\\, " };
28 static const char *s_close_set[2] = { " }", " \\,\\}" };
29 static const char *s_open_list[2] = { "[", "(" };
30 static const char *s_close_list[2] = { "]", ")" };
31 static const char *s_such_that[2] = { " : ", " \\mid " };
32 static const char *s_open_exists[2] = { "exists (", "\\exists \\, " };
33 static const char *s_close_exists[2] = { ")", "" };
34 static const char *s_div_prefix[2] = { "e", "\\alpha_" };
35 static const char *s_param_prefix[2] = { "p", "p_" };
36 static const char *s_input_prefix[2] = { "i", "i_" };
37 static const char *s_output_prefix[2] = { "o", "o_" };
39 static __isl_give isl_printer *print_constraint_polylib(
40 struct isl_basic_map *bmap, int ineq, int n, __isl_take isl_printer *p)
43 unsigned n_in = isl_basic_map_dim(bmap, isl_dim_in);
44 unsigned n_out = isl_basic_map_dim(bmap, isl_dim_out);
45 unsigned nparam = isl_basic_map_dim(bmap, isl_dim_param);
46 isl_int *c = ineq ? bmap->ineq[n] : bmap->eq[n];
48 p = isl_printer_start_line(p);
49 p = isl_printer_print_int(p, ineq);
50 for (i = 0; i < n_out; ++i) {
51 p = isl_printer_print_str(p, " ");
52 p = isl_printer_print_isl_int(p, c[1+nparam+n_in+i]);
54 for (i = 0; i < n_in; ++i) {
55 p = isl_printer_print_str(p, " ");
56 p = isl_printer_print_isl_int(p, c[1+nparam+i]);
58 for (i = 0; i < bmap->n_div; ++i) {
59 p = isl_printer_print_str(p, " ");
60 p = isl_printer_print_isl_int(p, c[1+nparam+n_in+n_out+i]);
62 for (i = 0; i < nparam; ++i) {
63 p = isl_printer_print_str(p, " ");
64 p = isl_printer_print_isl_int(p, c[1+i]);
66 p = isl_printer_print_str(p, " ");
67 p = isl_printer_print_isl_int(p, c[0]);
68 p = isl_printer_end_line(p);
72 static __isl_give isl_printer *print_constraints_polylib(
73 struct isl_basic_map *bmap, __isl_take isl_printer *p)
77 p = isl_printer_set_isl_int_width(p, 5);
79 for (i = 0; i < bmap->n_eq; ++i)
80 p = print_constraint_polylib(bmap, 0, i, p);
81 for (i = 0; i < bmap->n_ineq; ++i)
82 p = print_constraint_polylib(bmap, 1, i, p);
87 static __isl_give isl_printer *bset_print_constraints_polylib(
88 struct isl_basic_set *bset, __isl_take isl_printer *p)
90 return print_constraints_polylib((struct isl_basic_map *)bset, p);
93 static __isl_give isl_printer *isl_basic_map_print_polylib(
94 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
96 unsigned total = isl_basic_map_total_dim(bmap);
97 p = isl_printer_start_line(p);
98 p = isl_printer_print_int(p, bmap->n_eq + bmap->n_ineq);
99 p = isl_printer_print_str(p, " ");
100 p = isl_printer_print_int(p, 1 + total + 1);
101 p = isl_printer_end_line(p);
102 return print_constraints_polylib(bmap, p);
105 static __isl_give isl_printer *isl_basic_set_print_polylib(
106 __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
108 return isl_basic_map_print_polylib((struct isl_basic_map *)bset, p);
111 static __isl_give isl_printer *isl_map_print_polylib(__isl_keep isl_map *map,
112 __isl_take isl_printer *p)
116 p = isl_printer_start_line(p);
117 p = isl_printer_print_int(p, map->n);
118 p = isl_printer_end_line(p);
119 for (i = 0; i < map->n; ++i) {
120 p = isl_printer_start_line(p);
121 p = isl_printer_end_line(p);
122 p = isl_basic_map_print_polylib(map->p[i], p);
127 static __isl_give isl_printer *isl_set_print_polylib(__isl_keep isl_set *set,
128 __isl_take isl_printer *p)
130 return isl_map_print_polylib((struct isl_map *)set, p);
133 static int count_same_name(__isl_keep isl_dim *dim,
134 enum isl_dim_type type, unsigned pos, const char *name)
140 for (t = isl_dim_param; t <= type && t <= isl_dim_out; ++t) {
141 s = t == type ? pos : isl_dim_size(dim, t);
142 for (p = 0; p < s; ++p) {
143 const char *n = isl_dim_get_name(dim, t, p);
144 if (n && !strcmp(n, name))
151 static __isl_give isl_printer *print_name(__isl_keep isl_dim *dim,
152 __isl_take isl_printer *p, enum isl_dim_type type, unsigned pos,
159 name = type == isl_dim_div ? NULL : isl_dim_get_name(dim, type, pos);
163 if (type == isl_dim_param)
164 prefix = s_param_prefix[latex];
165 else if (type == isl_dim_div)
166 prefix = s_div_prefix[latex];
167 else if (set || type == isl_dim_in)
168 prefix = s_input_prefix[latex];
170 prefix = s_output_prefix[latex];
171 snprintf(buffer, sizeof(buffer), "%s%d", prefix, pos);
174 primes = count_same_name(dim, name == buffer ? isl_dim_div : type,
176 p = isl_printer_print_str(p, name);
178 p = isl_printer_print_str(p, "'");
182 static enum isl_dim_type pos2type(__isl_keep isl_dim *dim, unsigned *pos)
184 enum isl_dim_type type;
185 unsigned n_in = isl_dim_size(dim, isl_dim_in);
186 unsigned n_out = isl_dim_size(dim, isl_dim_out);
187 unsigned nparam = isl_dim_size(dim, isl_dim_param);
189 if (*pos < 1 + nparam) {
190 type = isl_dim_param;
192 } else if (*pos < 1 + nparam + n_in) {
195 } else if (*pos < 1 + nparam + n_in + n_out) {
197 *pos -= 1 + nparam + n_in;
200 *pos -= 1 + nparam + n_in + n_out;
206 static __isl_give isl_printer *print_term(__isl_keep isl_dim *dim,
207 isl_int c, unsigned pos, __isl_take isl_printer *p, int set, int latex)
209 enum isl_dim_type type;
212 return isl_printer_print_isl_int(p, c);
214 if (isl_int_is_one(c))
216 else if (isl_int_is_negone(c))
217 p = isl_printer_print_str(p, "-");
219 p = isl_printer_print_isl_int(p, c);
220 type = pos2type(dim, &pos);
221 p = print_name(dim, p, type, pos, set, latex);
225 static __isl_give isl_printer *print_affine_of_len(__isl_keep isl_dim *dim,
226 __isl_take isl_printer *p, isl_int *c, int len, int set)
231 for (i = 0, first = 1; i < len; ++i) {
233 if (isl_int_is_zero(c[i]))
236 if (isl_int_is_neg(c[i])) {
238 isl_int_neg(c[i], c[i]);
239 p = isl_printer_print_str(p, " - ");
241 p = isl_printer_print_str(p, " + ");
244 p = print_term(dim, c[i], i, p, set, 0);
246 isl_int_neg(c[i], c[i]);
249 p = isl_printer_print_str(p, "0");
253 static __isl_give isl_printer *print_affine(__isl_keep isl_basic_map *bmap,
254 __isl_keep isl_dim *dim, __isl_take isl_printer *p, isl_int *c, int set)
256 unsigned len = 1 + isl_basic_map_total_dim(bmap);
257 return print_affine_of_len(dim, p, c, len, set);
260 static int defining_equality(__isl_keep isl_basic_map *eq,
261 enum isl_dim_type type, int pos)
269 pos += isl_dim_offset(eq->dim, type);
270 total = isl_basic_map_total_dim(eq);
272 for (i = 0; i < eq->n_eq; ++i) {
273 if (isl_seq_last_non_zero(eq->eq[i] + 1, total) != pos)
275 if (isl_int_is_one(eq->eq[i][1 + pos]))
276 isl_seq_neg(eq->eq[i], eq->eq[i], 1 + total);
283 static __isl_give isl_printer *print_var_list(__isl_keep isl_dim *dim,
284 __isl_take isl_printer *p, enum isl_dim_type type, int set, int latex,
285 __isl_keep isl_basic_map *eq)
289 for (i = 0; i < isl_dim_size(dim, type); ++i) {
291 p = isl_printer_print_str(p, ", ");
292 j = defining_equality(eq, type, i);
294 int pos = 1 + isl_dim_offset(dim, type) + i;
295 p = print_affine_of_len(dim, p, eq->eq[j], pos, set);
297 p = print_name(dim, p, type, i, set, latex);
302 static __isl_give isl_printer *print_tuple(__isl_keep isl_dim *dim,
303 __isl_take isl_printer *p, enum isl_dim_type type, int set, int latex,
304 __isl_keep isl_basic_map *eq)
306 unsigned n = isl_dim_size(dim, type);
307 if (!latex || n != 1)
308 p = isl_printer_print_str(p, s_open_list[latex]);
309 p = print_var_list(dim, p, type, set, latex, eq);
310 if (!latex || n != 1)
311 p = isl_printer_print_str(p, s_close_list[latex]);
315 static __isl_give isl_printer *print_omega_parameters(__isl_keep isl_dim *dim,
316 __isl_take isl_printer *p)
318 if (isl_dim_size(dim, isl_dim_param) == 0)
321 p = isl_printer_start_line(p);
322 p = isl_printer_print_str(p, "symbolic ");
323 p = print_var_list(dim, p, isl_dim_param, 0, 0, NULL);
324 p = isl_printer_print_str(p, ";");
325 p = isl_printer_end_line(p);
329 static __isl_give isl_printer *print_constraint(struct isl_basic_map *bmap,
330 __isl_keep isl_dim *dim, __isl_take isl_printer *p,
331 isl_int *c, int last, const char *op, int first_constraint, int set,
334 if (!first_constraint)
335 p = isl_printer_print_str(p, s_and[latex]);
337 isl_int_abs(c[last], c[last]);
339 p = print_term(dim, c[last], last, p, set, latex);
341 p = isl_printer_print_str(p, " ");
342 p = isl_printer_print_str(p, op);
343 p = isl_printer_print_str(p, " ");
345 isl_int_set_si(c[last], 0);
346 p = print_affine(bmap, dim, p, c, set);
351 static __isl_give isl_printer *print_constraints(__isl_keep isl_basic_map *bmap,
352 __isl_keep isl_dim *dim, __isl_take isl_printer *p, int set, int latex)
356 unsigned total = isl_basic_map_total_dim(bmap);
358 c = isl_vec_alloc(bmap->ctx, 1 + total);
362 for (i = bmap->n_eq - 1; i >= 0; --i) {
363 int l = isl_seq_last_non_zero(bmap->eq[i], 1 + total);
364 isl_assert(bmap->ctx, l >= 0, goto error);
365 if (isl_int_is_neg(bmap->eq[i][l]))
366 isl_seq_cpy(c->el, bmap->eq[i], 1 + total);
368 isl_seq_neg(c->el, bmap->eq[i], 1 + total);
369 p = print_constraint(bmap, dim, p, c->el, l,
370 "=", i == bmap->n_eq - 1, set, latex);
372 for (i = 0; i < bmap->n_ineq; ++i) {
373 int l = isl_seq_last_non_zero(bmap->ineq[i], 1 + total);
378 s = isl_int_sgn(bmap->ineq[i][l]);
380 isl_seq_cpy(c->el, bmap->ineq[i], 1 + total);
382 isl_seq_neg(c->el, bmap->ineq[i], 1 + total);
383 op = s < 0 ? s_le[latex] : s_ge[latex];
384 p = print_constraint(bmap, dim, p, c->el, l,
385 op, !bmap->n_eq && !i, set, latex);
396 static __isl_give isl_printer *print_omega_constraints(
397 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int set)
399 if (bmap->n_eq + bmap->n_ineq == 0)
402 p = isl_printer_print_str(p, ": ");
403 if (bmap->n_div > 0) {
405 p = isl_printer_print_str(p, "exists (");
406 for (i = 0; i < bmap->n_div; ++i) {
408 p = isl_printer_print_str(p, ", ");
409 p = print_name(bmap->dim, p, isl_dim_div, i, 0, 0);
411 p = isl_printer_print_str(p, ": ");
413 p = print_constraints(bmap, bmap->dim, p, set, 0);
415 p = isl_printer_print_str(p, ")");
419 static __isl_give isl_printer *basic_map_print_omega(
420 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
422 p = isl_printer_print_str(p, "{ [");
423 p = print_var_list(bmap->dim, p, isl_dim_in, 0, 0, NULL);
424 p = isl_printer_print_str(p, "] -> [");
425 p = print_var_list(bmap->dim, p, isl_dim_out, 0, 0, NULL);
426 p = isl_printer_print_str(p, "] ");
427 p = print_omega_constraints(bmap, p, 0);
428 p = isl_printer_print_str(p, " }");
432 static __isl_give isl_printer *isl_basic_map_print_omega(
433 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
435 p = print_omega_parameters(bmap->dim, p);
437 p = isl_printer_start_line(p);
438 p = basic_map_print_omega(bmap, p);
439 p = isl_printer_end_line(p);
443 static __isl_give isl_printer *basic_set_print_omega(
444 __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
446 p = isl_printer_print_str(p, "{ [");
447 p = print_var_list(bset->dim, p, isl_dim_set, 1, 0, NULL);
448 p = isl_printer_print_str(p, "] ");
449 p = print_omega_constraints((isl_basic_map *)bset, p, 1);
450 p = isl_printer_print_str(p, " }");
454 static __isl_give isl_printer *isl_basic_set_print_omega(
455 __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
457 p = print_omega_parameters(bset->dim, p);
459 p = isl_printer_start_line(p);
460 p = basic_set_print_omega(bset, p);
461 p = isl_printer_end_line(p);
465 static __isl_give isl_printer *isl_map_print_omega(__isl_keep isl_map *map,
466 __isl_take isl_printer *p)
470 p = print_omega_parameters(map->dim, p);
472 p = isl_printer_start_line(p);
473 for (i = 0; i < map->n; ++i) {
475 p = isl_printer_print_str(p, " union ");
476 p = basic_map_print_omega(map->p[i], p);
478 p = isl_printer_end_line(p);
482 static __isl_give isl_printer *isl_set_print_omega(__isl_keep isl_set *set,
483 __isl_take isl_printer *p)
487 p = print_omega_parameters(set->dim, p);
489 p = isl_printer_start_line(p);
490 for (i = 0; i < set->n; ++i) {
492 p = isl_printer_print_str(p, " union ");
493 p = basic_set_print_omega(set->p[i], p);
495 p = isl_printer_end_line(p);
499 static __isl_give isl_printer *print_disjunct(__isl_keep isl_basic_map *bmap,
500 __isl_keep isl_dim *dim, __isl_take isl_printer *p, int set, int latex)
502 if (bmap->n_div > 0) {
504 p = isl_printer_print_str(p, s_open_exists[latex]);
505 for (i = 0; i < bmap->n_div; ++i) {
507 p = isl_printer_print_str(p, ", ");
508 p = print_name(dim, p, isl_dim_div, i, 0, latex);
509 if (latex || isl_int_is_zero(bmap->div[i][0]))
511 p = isl_printer_print_str(p, " = [(");
512 p = print_affine(bmap, dim, p, bmap->div[i] + 1, set);
513 p = isl_printer_print_str(p, ")/");
514 p = isl_printer_print_isl_int(p, bmap->div[i][0]);
515 p = isl_printer_print_str(p, "]");
517 p = isl_printer_print_str(p, ": ");
520 p = print_constraints(bmap, dim, p, set, latex);
523 p = isl_printer_print_str(p, s_close_exists[latex]);
527 static __isl_give isl_printer *isl_basic_map_print_isl(
528 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int latex)
532 p = isl_printer_start_line(p);
533 if (isl_basic_map_dim(bmap, isl_dim_param) > 0) {
534 p = print_tuple(bmap->dim, p, isl_dim_param, 0, latex, NULL);
535 p = isl_printer_print_str(p, " -> ");
537 p = isl_printer_print_str(p, "{ ");
538 p = print_tuple(bmap->dim, p, isl_dim_in, 0, latex, NULL);
539 p = isl_printer_print_str(p, " -> ");
540 p = print_tuple(bmap->dim, p, isl_dim_out, 0, latex, NULL);
541 p = isl_printer_print_str(p, " : ");
542 p = print_disjunct(bmap, bmap->dim, p, 0, latex);
543 p = isl_printer_print_str(p, " }");
544 p = isl_printer_end_line(p);
548 static __isl_give isl_printer *isl_basic_set_print_isl(
549 __isl_keep isl_basic_set *bset, __isl_take isl_printer *p, int latex)
553 p = isl_printer_start_line(p);
554 if (isl_basic_set_dim(bset, isl_dim_param) > 0) {
555 p = print_tuple(bset->dim, p, isl_dim_param, 0, latex, NULL);
556 p = isl_printer_print_str(p, " -> ");
558 p = isl_printer_print_str(p, "{ ");
559 p = print_tuple(bset->dim, p, isl_dim_set, 1, latex, NULL);
560 p = isl_printer_print_str(p, " : ");
561 p = print_disjunct((isl_basic_map *)bset, bset->dim, p, 1, latex);
562 p = isl_printer_print_str(p, " }");
563 p = isl_printer_end_line(p);
567 static __isl_give isl_printer *print_disjuncts(__isl_keep isl_map *map,
568 __isl_take isl_printer *p, int set, int latex)
572 if (isl_map_fast_is_universe(map))
575 p = isl_printer_print_str(p, s_such_that[latex]);
577 p = isl_printer_print_str(p, "1 = 0");
578 for (i = 0; i < map->n; ++i) {
580 p = isl_printer_print_str(p, s_or[latex]);
581 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
582 p = isl_printer_print_str(p, "(");
583 p = print_disjunct(map->p[i], map->dim, p, set, latex);
584 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
585 p = isl_printer_print_str(p, ")");
590 struct isl_aff_split {
595 static void free_split(__isl_take struct isl_aff_split *split, int n)
602 for (i = 0; i < n; ++i) {
603 isl_basic_map_free(split[i].aff);
604 isl_map_free(split[i].map);
610 static __isl_give isl_basic_map *get_aff(__isl_take isl_basic_map *bmap)
613 unsigned nparam, n_in, n_out, total;
615 bmap = isl_basic_map_cow(bmap);
618 if (isl_basic_map_free_inequality(bmap, bmap->n_ineq) < 0)
621 nparam = isl_basic_map_dim(bmap, isl_dim_param);
622 n_in = isl_basic_map_dim(bmap, isl_dim_in);
623 n_out = isl_basic_map_dim(bmap, isl_dim_out);
624 total = isl_basic_map_dim(bmap, isl_dim_all);
625 for (i = bmap->n_eq - 1; i >= 0; --i) {
626 j = isl_seq_last_non_zero(bmap->eq[i] + 1, total);
627 if (j >= nparam && j < nparam + n_in + n_out &&
628 (isl_int_is_one(bmap->eq[i][1 + j]) ||
629 isl_int_is_negone(bmap->eq[i][1 + j])))
631 if (isl_basic_map_drop_equality(bmap, i) < 0)
635 bmap = isl_basic_map_finalize(bmap);
639 isl_basic_map_free(bmap);
643 static int aff_split_cmp(const void *p1, const void *p2)
645 const struct isl_aff_split *s1, *s2;
646 s1 = (const struct isl_aff_split *) p1;
647 s2 = (const struct isl_aff_split *) p2;
649 return isl_basic_map_fast_cmp(s1->aff, s2->aff);
652 static __isl_give isl_basic_map *drop_aff(__isl_take isl_basic_map *bmap,
653 __isl_keep isl_basic_map *aff)
661 total = isl_dim_total(bmap->dim);
663 for (i = bmap->n_eq - 1; i >= 0; --i) {
664 if (isl_seq_first_non_zero(bmap->eq[i] + 1 + total,
667 for (j = 0; j < aff->n_eq; ++j) {
668 if (!isl_seq_eq(bmap->eq[i], aff->eq[j], 1 + total) &&
669 !isl_seq_is_neg(bmap->eq[i], aff->eq[j], 1 + total))
671 if (isl_basic_map_drop_equality(bmap, i) < 0)
679 isl_basic_map_free(bmap);
683 static __isl_give struct isl_aff_split *split_aff(__isl_keep isl_map *map)
686 struct isl_aff_split *split;
688 split = isl_calloc_array(map->isl, struct isl_aff_split, map->n);
692 for (i = 0; i < map->n; ++i) {
694 split[i].aff = get_aff(isl_basic_map_copy(map->p[i]));
695 bmap = isl_basic_map_copy(map->p[i]);
696 bmap = isl_basic_map_cow(bmap);
697 bmap = drop_aff(bmap, split[i].aff);
698 split[i].map = isl_map_from_basic_map(bmap);
699 if (!split[i].aff || !split[i].map)
703 qsort(split, map->n, sizeof(struct isl_aff_split), &aff_split_cmp);
706 for (i = n - 1; i >= 1; --i) {
707 if (!isl_basic_map_fast_is_equal(split[i - 1].aff,
710 isl_basic_map_free(split[i].aff);
711 split[i - 1].map = isl_map_union(split[i - 1].map,
714 split[i] = split[n - 1];
715 split[n - 1].aff = NULL;
716 split[n - 1].map = NULL;
722 free_split(split, map->n);
726 static __isl_give isl_printer *print_split_map(__isl_take isl_printer *p,
727 struct isl_aff_split *split, int n, int set)
731 for (i = 0; i < n; ++i) {
736 dim = split[i].map->dim;
738 p = isl_printer_print_str(p, "; ");
740 p = print_tuple(dim, p, isl_dim_set, 1, 0, split[i].aff);
742 p = print_tuple(dim, p, isl_dim_in, 0, 0, split[i].aff);
743 p = isl_printer_print_str(p, s_to[0]);
744 p = print_tuple(dim, p, isl_dim_out, 0, 0, split[i].aff);
746 p = print_disjuncts(split[i].map, p, set, 0);
752 static __isl_give isl_printer *isl_map_print_isl(__isl_keep isl_map *map,
753 __isl_take isl_printer *p, int set)
755 struct isl_aff_split *split = NULL;
758 split = split_aff(map);
759 if (isl_map_dim(map, isl_dim_param) > 0) {
760 p = print_tuple(map->dim, p, isl_dim_param, set, 0, NULL);
761 p = isl_printer_print_str(p, s_to[0]);
763 p = isl_printer_print_str(p, s_open_set[0]);
765 p = print_split_map(p, split, map->n, set);
768 p = print_tuple(map->dim, p, isl_dim_set, 1, 0, NULL);
770 p = print_tuple(map->dim, p, isl_dim_in, 0, 0, NULL);
771 p = isl_printer_print_str(p, s_to[0]);
772 p = print_tuple(map->dim, p, isl_dim_out, 0, 0, NULL);
774 p = print_disjuncts(map, p, set, 0);
776 p = isl_printer_print_str(p, s_close_set[0]);
777 free_split(split, map->n);
781 static __isl_give isl_printer *print_latex_map(__isl_keep isl_map *map,
782 __isl_take isl_printer *p, __isl_keep isl_basic_map *aff, int set)
784 if (isl_map_dim(map, isl_dim_param) > 0) {
785 p = print_tuple(map->dim, p, isl_dim_param, set, 1, NULL);
786 p = isl_printer_print_str(p, s_to[1]);
788 p = isl_printer_print_str(p, s_open_set[1]);
790 p = print_tuple(map->dim, p, isl_dim_set, 1, 1, aff);
792 p = print_tuple(map->dim, p, isl_dim_in, 0, 1, aff);
793 p = isl_printer_print_str(p, s_to[1]);
794 p = print_tuple(map->dim, p, isl_dim_out, 0, 1, aff);
796 p = print_disjuncts(map, p, set, 1);
797 p = isl_printer_print_str(p, s_close_set[1]);
802 static __isl_give isl_printer *isl_map_print_latex(__isl_keep isl_map *map,
803 __isl_take isl_printer *p, int set)
806 struct isl_aff_split *split = NULL;
809 split = split_aff(map);
812 return print_latex_map(map, p, NULL, set);
814 for (i = 0; i < map->n; ++i) {
818 p = isl_printer_print_str(p, " \\cup ");
819 p = print_latex_map(split[i].map, p, split[i].aff, set);
822 free_split(split, map->n);
826 __isl_give isl_printer *isl_printer_print_basic_map(__isl_take isl_printer *p,
827 __isl_keep isl_basic_map *bmap)
831 if (p->output_format == ISL_FORMAT_ISL)
832 return isl_basic_map_print_isl(bmap, p, 0);
833 else if (p->output_format == ISL_FORMAT_OMEGA)
834 return isl_basic_map_print_omega(bmap, p);
835 isl_assert(bmap->ctx, 0, goto error);
841 void isl_basic_map_print(__isl_keep isl_basic_map *bmap, FILE *out, int indent,
842 const char *prefix, const char *suffix, unsigned output_format)
844 isl_printer *printer;
849 printer = isl_printer_to_file(bmap->ctx, out);
850 printer = isl_printer_set_indent(printer, indent);
851 printer = isl_printer_set_prefix(printer, prefix);
852 printer = isl_printer_set_suffix(printer, suffix);
853 printer = isl_printer_set_output_format(printer, output_format);
854 isl_printer_print_basic_map(printer, bmap);
856 isl_printer_free(printer);
859 __isl_give isl_printer *isl_printer_print_basic_set(__isl_take isl_printer *p,
860 __isl_keep isl_basic_set *bset)
865 if (p->output_format == ISL_FORMAT_ISL)
866 return isl_basic_set_print_isl(bset, p, 0);
867 else if (p->output_format == ISL_FORMAT_POLYLIB)
868 return isl_basic_set_print_polylib(bset, p);
869 else if (p->output_format == ISL_FORMAT_POLYLIB_CONSTRAINTS)
870 return bset_print_constraints_polylib(bset, p);
871 else if (p->output_format == ISL_FORMAT_OMEGA)
872 return isl_basic_set_print_omega(bset, p);
873 isl_assert(p->ctx, 0, goto error);
879 void isl_basic_set_print(struct isl_basic_set *bset, FILE *out, int indent,
880 const char *prefix, const char *suffix, unsigned output_format)
882 isl_printer *printer;
887 printer = isl_printer_to_file(bset->ctx, out);
888 printer = isl_printer_set_indent(printer, indent);
889 printer = isl_printer_set_prefix(printer, prefix);
890 printer = isl_printer_set_suffix(printer, suffix);
891 printer = isl_printer_set_output_format(printer, output_format);
892 isl_printer_print_basic_set(printer, bset);
894 isl_printer_free(printer);
897 __isl_give isl_printer *isl_printer_print_set(__isl_take isl_printer *p,
898 __isl_keep isl_set *set)
902 if (p->output_format == ISL_FORMAT_ISL)
903 return isl_map_print_isl((isl_map *)set, p, 1);
904 else if (p->output_format == ISL_FORMAT_POLYLIB)
905 return isl_set_print_polylib(set, p);
906 else if (p->output_format == ISL_FORMAT_OMEGA)
907 return isl_set_print_omega(set, p);
908 else if (p->output_format == ISL_FORMAT_LATEX)
909 return isl_map_print_latex((isl_map *)set, p, 1);
910 isl_assert(set->ctx, 0, goto error);
916 void isl_set_print(struct isl_set *set, FILE *out, int indent,
917 unsigned output_format)
919 isl_printer *printer;
924 printer = isl_printer_to_file(set->ctx, out);
925 printer = isl_printer_set_indent(printer, indent);
926 printer = isl_printer_set_output_format(printer, output_format);
927 printer = isl_printer_print_set(printer, set);
929 isl_printer_free(printer);
932 __isl_give isl_printer *isl_printer_print_map(__isl_take isl_printer *p,
933 __isl_keep isl_map *map)
938 if (p->output_format == ISL_FORMAT_ISL)
939 return isl_map_print_isl(map, p, 0);
940 else if (p->output_format == ISL_FORMAT_POLYLIB)
941 return isl_map_print_polylib(map, p);
942 else if (p->output_format == ISL_FORMAT_OMEGA)
943 return isl_map_print_omega(map, p);
944 else if (p->output_format == ISL_FORMAT_LATEX)
945 return isl_map_print_latex(map, p, 0);
946 isl_assert(map->ctx, 0, goto error);
952 void isl_map_print(__isl_keep isl_map *map, FILE *out, int indent,
953 unsigned output_format)
955 isl_printer *printer;
960 printer = isl_printer_to_file(map->ctx, out);
961 printer = isl_printer_set_indent(printer, indent);
962 printer = isl_printer_set_output_format(printer, output_format);
963 printer = isl_printer_print_map(printer, map);
965 isl_printer_free(printer);
968 static int upoly_rec_n_non_zero(__isl_keep struct isl_upoly_rec *rec)
973 for (i = 0, n = 0; i < rec->n; ++i)
974 if (!isl_upoly_is_zero(rec->p[i]))
980 static __isl_give isl_printer *print_div(__isl_keep isl_dim *dim,
981 __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p)
983 int c = p->output_format == ISL_FORMAT_C;
984 p = isl_printer_print_str(p, c ? "floord(" : "[(");
985 p = print_affine_of_len(dim, p, div->row[pos] + 1, div->n_col - 1, 1);
986 p = isl_printer_print_str(p, c ? ", " : ")/");
987 p = isl_printer_print_isl_int(p, div->row[pos][0]);
988 p = isl_printer_print_str(p, c ? ")" : "]");
992 static __isl_give isl_printer *upoly_print_cst(__isl_keep struct isl_upoly *up,
993 __isl_take isl_printer *p, int first)
995 struct isl_upoly_cst *cst;
998 cst = isl_upoly_as_cst(up);
1001 neg = !first && isl_int_is_neg(cst->n);
1003 p = isl_printer_print_str(p, neg ? " - " : " + ");
1005 isl_int_neg(cst->n, cst->n);
1006 if (isl_int_is_zero(cst->d)) {
1007 int sgn = isl_int_sgn(cst->n);
1008 p = isl_printer_print_str(p, sgn < 0 ? "-infty" :
1009 sgn == 0 ? "NaN" : "infty");
1011 p = isl_printer_print_isl_int(p, cst->n);
1013 isl_int_neg(cst->n, cst->n);
1014 if (!isl_int_is_zero(cst->d) && !isl_int_is_one(cst->d)) {
1015 p = isl_printer_print_str(p, "/");
1016 p = isl_printer_print_isl_int(p, cst->d);
1020 isl_printer_free(p);
1024 static __isl_give isl_printer *print_base(__isl_take isl_printer *p,
1025 __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var)
1029 total = isl_dim_total(dim);
1031 p = print_term(dim, dim->ctx->one, 1 + var, p, 1, 0);
1033 p = print_div(dim, div, var - total, p);
1037 static __isl_give isl_printer *print_pow(__isl_take isl_printer *p,
1038 __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var, int exp)
1040 p = print_base(p, dim, div, var);
1043 if (p->output_format == ISL_FORMAT_C) {
1045 for (i = 1; i < exp; ++i) {
1046 p = isl_printer_print_str(p, "*");
1047 p = print_base(p, dim, div, var);
1050 p = isl_printer_print_str(p, "^");
1051 p = isl_printer_print_int(p, exp);
1056 static __isl_give isl_printer *upoly_print(__isl_keep struct isl_upoly *up,
1057 __isl_keep isl_dim *dim, __isl_keep isl_mat *div,
1058 __isl_take isl_printer *p)
1061 struct isl_upoly_rec *rec;
1063 if (!p || !up || !dim || !div)
1066 if (isl_upoly_is_cst(up))
1067 return upoly_print_cst(up, p, 1);
1069 rec = isl_upoly_as_rec(up);
1072 n = upoly_rec_n_non_zero(rec);
1074 p = isl_printer_print_str(p, "(");
1075 for (i = 0, first = 1; i < rec->n; ++i) {
1076 if (isl_upoly_is_zero(rec->p[i]))
1078 if (isl_upoly_is_negone(rec->p[i])) {
1080 p = isl_printer_print_str(p, "-1");
1082 p = isl_printer_print_str(p, "-");
1084 p = isl_printer_print_str(p, " - ");
1085 } else if (isl_upoly_is_cst(rec->p[i]) &&
1086 !isl_upoly_is_one(rec->p[i]))
1087 p = upoly_print_cst(rec->p[i], p, first);
1090 p = isl_printer_print_str(p, " + ");
1091 if (i == 0 || !isl_upoly_is_one(rec->p[i]))
1092 p = upoly_print(rec->p[i], dim, div, p);
1097 if (!isl_upoly_is_one(rec->p[i]) &&
1098 !isl_upoly_is_negone(rec->p[i]))
1099 p = isl_printer_print_str(p, " * ");
1100 p = print_pow(p, dim, div, rec->up.var, i);
1103 p = isl_printer_print_str(p, ")");
1106 isl_printer_free(p);
1110 __isl_give isl_printer *isl_printer_print_qpolynomial(__isl_take isl_printer *p,
1111 __isl_keep isl_qpolynomial *qp)
1115 p = upoly_print(qp->upoly, qp->dim, qp->div, p);
1118 isl_printer_free(p);
1122 void isl_qpolynomial_print(__isl_keep isl_qpolynomial *qp, FILE *out,
1123 unsigned output_format)
1130 isl_assert(qp->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1131 p = isl_printer_to_file(qp->dim->ctx, out);
1132 p = isl_printer_print_qpolynomial(p, qp);
1133 isl_printer_free(p);
1136 static __isl_give isl_printer *qpolynomial_fold_print(
1137 __isl_keep isl_qpolynomial_fold *fold, __isl_take isl_printer *p)
1141 if (fold->type == isl_fold_min)
1142 p = isl_printer_print_str(p, "min");
1143 else if (fold->type == isl_fold_max)
1144 p = isl_printer_print_str(p, "max");
1145 p = isl_printer_print_str(p, "(");
1146 for (i = 0; i < fold->n; ++i) {
1148 p = isl_printer_print_str(p, ", ");
1149 p = isl_printer_print_qpolynomial(p, fold->qp[i]);
1151 p = isl_printer_print_str(p, ")");
1155 __isl_give isl_printer *isl_printer_print_qpolynomial_fold(
1156 __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
1160 p = qpolynomial_fold_print(fold, p);
1163 isl_printer_free(p);
1167 void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold *fold,
1168 FILE *out, unsigned output_format)
1175 isl_assert(fold->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1177 p = isl_printer_to_file(fold->dim->ctx, out);
1178 p = isl_printer_print_qpolynomial_fold(p, fold);
1180 isl_printer_free(p);
1183 static __isl_give isl_printer *print_pw_qpolynomial_isl(
1184 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1191 if (isl_dim_size(pwqp->dim, isl_dim_param) > 0) {
1192 p = print_tuple(pwqp->dim, p, isl_dim_param, 0, 0, NULL);
1193 p = isl_printer_print_str(p, " -> ");
1195 p = isl_printer_print_str(p, "{ ");
1197 if (isl_dim_size(pwqp->dim, isl_dim_set) > 0) {
1198 p = print_tuple(pwqp->dim, p, isl_dim_set, 1, 0, NULL);
1199 p = isl_printer_print_str(p, " -> ");
1201 p = isl_printer_print_str(p, "0");
1203 for (i = 0; i < pwqp->n; ++i) {
1205 p = isl_printer_print_str(p, "; ");
1206 if (isl_dim_size(pwqp->p[i].set->dim, isl_dim_set) > 0) {
1207 p = print_tuple(pwqp->p[i].set->dim, p, isl_dim_set, 1, 0, NULL);
1208 p = isl_printer_print_str(p, " -> ");
1210 p = isl_printer_print_qpolynomial(p, pwqp->p[i].qp);
1211 p = print_disjuncts((isl_map *)pwqp->p[i].set, p, 1, 0);
1213 p = isl_printer_print_str(p, " }");
1216 isl_printer_free(p);
1220 void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial *pwqp, FILE *out,
1221 unsigned output_format)
1228 p = isl_printer_to_file(pwqp->dim->ctx, out);
1229 p = isl_printer_set_output_format(p, output_format);
1230 p = isl_printer_print_pw_qpolynomial(p, pwqp);
1232 isl_printer_free(p);
1235 static __isl_give isl_printer *print_pw_qpolynomial_fold_isl(
1236 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1240 if (isl_dim_size(pwf->dim, isl_dim_param) > 0) {
1241 p = print_tuple(pwf->dim, p, isl_dim_param, 0, 0, NULL);
1242 p = isl_printer_print_str(p, " -> ");
1244 p = isl_printer_print_str(p, "{ ");
1246 if (isl_dim_size(pwf->dim, isl_dim_set) > 0) {
1247 p = print_tuple(pwf->dim, p, isl_dim_set, 0, 0, NULL);
1248 p = isl_printer_print_str(p, " -> ");
1250 p = isl_printer_print_str(p, "0");
1252 for (i = 0; i < pwf->n; ++i) {
1254 p = isl_printer_print_str(p, "; ");
1255 if (isl_dim_size(pwf->p[i].set->dim, isl_dim_set) > 0) {
1256 p = print_tuple(pwf->p[i].set->dim, p, isl_dim_set, 0, 0, NULL);
1257 p = isl_printer_print_str(p, " -> ");
1259 p = qpolynomial_fold_print(pwf->p[i].fold, p);
1260 p = print_disjuncts((isl_map *)pwf->p[i].set, p, 1, 0);
1262 p = isl_printer_print_str(p, " }");
1266 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1267 __isl_keep isl_basic_set *bset, isl_int *c);
1269 static __isl_give isl_printer *print_name_c(__isl_take isl_printer *p,
1270 __isl_keep isl_basic_set *bset, enum isl_dim_type type, unsigned pos)
1272 if (type == isl_dim_div) {
1273 p = isl_printer_print_str(p, "floord(");
1274 p = print_affine_c(p, bset, bset->div[pos] + 1);
1275 p = isl_printer_print_str(p, ", ");
1276 p = isl_printer_print_isl_int(p, bset->div[pos][0]);
1277 p = isl_printer_print_str(p, ")");
1281 name = isl_dim_get_name(bset->dim, type, pos);
1284 p = isl_printer_print_str(p, name);
1289 static __isl_give isl_printer *print_term_c(__isl_take isl_printer *p,
1290 __isl_keep isl_basic_set *bset, isl_int c, unsigned pos)
1292 enum isl_dim_type type;
1293 unsigned nparam = isl_basic_set_dim(bset, isl_dim_param);
1296 return isl_printer_print_isl_int(p, c);
1298 if (isl_int_is_one(c))
1300 else if (isl_int_is_negone(c))
1301 p = isl_printer_print_str(p, "-");
1303 p = isl_printer_print_isl_int(p, c);
1304 p = isl_printer_print_str(p, "*");
1306 type = pos2type(bset->dim, &pos);
1307 p = print_name_c(p, bset, type, pos);
1311 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1312 __isl_keep isl_basic_set *bset, isl_int *c)
1316 unsigned len = 1 + isl_basic_set_total_dim(bset);
1318 for (i = 0, first = 1; i < len; ++i) {
1320 if (isl_int_is_zero(c[i]))
1323 if (isl_int_is_neg(c[i])) {
1325 isl_int_neg(c[i], c[i]);
1326 p = isl_printer_print_str(p, " - ");
1328 p = isl_printer_print_str(p, " + ");
1331 p = print_term_c(p, bset, c[i], i);
1333 isl_int_neg(c[i], c[i]);
1336 p = isl_printer_print_str(p, "0");
1340 static __isl_give isl_printer *print_constraint_c(__isl_take isl_printer *p,
1341 __isl_keep isl_basic_set *bset, isl_int *c, const char *op, int first)
1344 p = isl_printer_print_str(p, " && ");
1346 p = print_affine_c(p, bset, c);
1347 p = isl_printer_print_str(p, " ");
1348 p = isl_printer_print_str(p, op);
1349 p = isl_printer_print_str(p, " 0");
1353 static __isl_give isl_printer *print_basic_set_c(__isl_take isl_printer *p,
1354 __isl_keep isl_basic_set *bset)
1358 for (i = 0; i < bset->n_eq; ++i)
1359 p = print_constraint_c(p, bset, bset->eq[i], "==", !i);
1360 for (i = 0; i < bset->n_ineq; ++i)
1361 p = print_constraint_c(p, bset, bset->ineq[i], ">=",
1366 static __isl_give isl_printer *print_set_c(__isl_take isl_printer *p,
1367 __isl_keep isl_set *set)
1372 p = isl_printer_print_str(p, "0");
1374 for (i = 0; i < set->n; ++i) {
1376 p = isl_printer_print_str(p, " || ");
1378 p = isl_printer_print_str(p, "(");
1379 p = print_basic_set_c(p, set->p[i]);
1381 p = isl_printer_print_str(p, ")");
1386 static __isl_give isl_printer *print_qpolynomial_c(__isl_take isl_printer *p,
1387 __isl_keep isl_qpolynomial *qp)
1392 isl_qpolynomial_get_den(qp, &den);
1393 if (!isl_int_is_one(den)) {
1395 p = isl_printer_print_str(p, "(");
1396 qp = isl_qpolynomial_copy(qp);
1397 f = isl_qpolynomial_rat_cst(isl_dim_copy(qp->dim),
1398 den, qp->dim->ctx->one);
1399 qp = isl_qpolynomial_mul(qp, f);
1402 p = upoly_print(qp->upoly, qp->dim, qp->div, p);
1403 if (!isl_int_is_one(den)) {
1404 p = isl_printer_print_str(p, ")/");
1405 p = isl_printer_print_isl_int(p, den);
1406 isl_qpolynomial_free(qp);
1412 static __isl_give isl_printer *print_pw_qpolynomial_c(
1413 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwpq)
1417 if (pwpq->n == 1 && isl_set_fast_is_universe(pwpq->p[0].set))
1418 return print_qpolynomial_c(p, pwpq->p[0].qp);
1420 for (i = 0; i < pwpq->n; ++i) {
1421 p = isl_printer_print_str(p, "(");
1422 p = print_set_c(p, pwpq->p[i].set);
1423 p = isl_printer_print_str(p, ") ? (");
1424 p = print_qpolynomial_c(p, pwpq->p[i].qp);
1425 p = isl_printer_print_str(p, ") : ");
1428 p = isl_printer_print_str(p, "0");
1432 __isl_give isl_printer *isl_printer_print_pw_qpolynomial(
1433 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1438 if (p->output_format == ISL_FORMAT_ISL)
1439 return print_pw_qpolynomial_isl(p, pwqp);
1440 else if (p->output_format == ISL_FORMAT_C)
1441 return print_pw_qpolynomial_c(p, pwqp);
1442 isl_assert(p->ctx, 0, goto error);
1444 isl_printer_free(p);
1448 static __isl_give isl_printer *print_qpolynomial_fold_c(
1449 __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
1453 for (i = 0; i < fold->n - 1; ++i)
1454 if (fold->type == isl_fold_min)
1455 p = isl_printer_print_str(p, "min(");
1456 else if (fold->type == isl_fold_max)
1457 p = isl_printer_print_str(p, "max(");
1459 for (i = 0; i < fold->n; ++i) {
1461 p = isl_printer_print_str(p, ", ");
1462 p = print_qpolynomial_c(p, fold->qp[i]);
1464 p = isl_printer_print_str(p, ")");
1469 static __isl_give isl_printer *print_pw_qpolynomial_fold_c(
1470 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1474 if (pwf->n == 1 && isl_set_fast_is_universe(pwf->p[0].set))
1475 return print_qpolynomial_fold_c(p, pwf->p[0].fold);
1477 for (i = 0; i < pwf->n; ++i) {
1478 p = isl_printer_print_str(p, "(");
1479 p = print_set_c(p, pwf->p[i].set);
1480 p = isl_printer_print_str(p, ") ? (");
1481 p = print_qpolynomial_fold_c(p, pwf->p[i].fold);
1482 p = isl_printer_print_str(p, ") : ");
1485 p = isl_printer_print_str(p, "0");
1489 __isl_give isl_printer *isl_printer_print_pw_qpolynomial_fold(
1490 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1495 if (p->output_format == ISL_FORMAT_ISL)
1496 return print_pw_qpolynomial_fold_isl(p, pwf);
1497 else if (p->output_format == ISL_FORMAT_C)
1498 return print_pw_qpolynomial_fold_c(p, pwf);
1499 isl_assert(p->ctx, 0, goto error);
1501 isl_printer_free(p);
1505 void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold *pwf,
1506 FILE *out, unsigned output_format)
1513 p = isl_printer_to_file(pwf->dim->ctx, out);
1514 p = isl_printer_set_output_format(p, output_format);
1515 p = isl_printer_print_pw_qpolynomial_fold(p, pwf);
1517 isl_printer_free(p);