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>
21 #include <isl_mat_private.h>
22 #include <isl_union_map.h>
24 static const char *s_to[2] = { " -> ", " \\to " };
25 static const char *s_and[2] = { " and ", " \\wedge " };
26 static const char *s_or[2] = { " or ", " \\vee " };
27 static const char *s_le[2] = { "<=", "\\le" };
28 static const char *s_ge[2] = { ">=", "\\ge" };
29 static const char *s_open_set[2] = { "{ ", "\\{\\, " };
30 static const char *s_close_set[2] = { " }", " \\,\\}" };
31 static const char *s_open_list[2] = { "[", "(" };
32 static const char *s_close_list[2] = { "]", ")" };
33 static const char *s_such_that[2] = { " : ", " \\mid " };
34 static const char *s_open_exists[2] = { "exists (", "\\exists \\, " };
35 static const char *s_close_exists[2] = { ")", "" };
36 static const char *s_div_prefix[2] = { "e", "\\alpha_" };
37 static const char *s_param_prefix[2] = { "p", "p_" };
38 static const char *s_input_prefix[2] = { "i", "i_" };
39 static const char *s_output_prefix[2] = { "o", "o_" };
41 static __isl_give isl_printer *print_constraint_polylib(
42 struct isl_basic_map *bmap, int ineq, int n, __isl_take isl_printer *p)
45 unsigned n_in = isl_basic_map_dim(bmap, isl_dim_in);
46 unsigned n_out = isl_basic_map_dim(bmap, isl_dim_out);
47 unsigned nparam = isl_basic_map_dim(bmap, isl_dim_param);
48 isl_int *c = ineq ? bmap->ineq[n] : bmap->eq[n];
50 p = isl_printer_start_line(p);
51 p = isl_printer_print_int(p, ineq);
52 for (i = 0; i < n_out; ++i) {
53 p = isl_printer_print_str(p, " ");
54 p = isl_printer_print_isl_int(p, c[1+nparam+n_in+i]);
56 for (i = 0; i < n_in; ++i) {
57 p = isl_printer_print_str(p, " ");
58 p = isl_printer_print_isl_int(p, c[1+nparam+i]);
60 for (i = 0; i < bmap->n_div; ++i) {
61 p = isl_printer_print_str(p, " ");
62 p = isl_printer_print_isl_int(p, c[1+nparam+n_in+n_out+i]);
64 for (i = 0; i < nparam; ++i) {
65 p = isl_printer_print_str(p, " ");
66 p = isl_printer_print_isl_int(p, c[1+i]);
68 p = isl_printer_print_str(p, " ");
69 p = isl_printer_print_isl_int(p, c[0]);
70 p = isl_printer_end_line(p);
74 static __isl_give isl_printer *print_constraints_polylib(
75 struct isl_basic_map *bmap, __isl_take isl_printer *p)
79 p = isl_printer_set_isl_int_width(p, 5);
81 for (i = 0; i < bmap->n_eq; ++i)
82 p = print_constraint_polylib(bmap, 0, i, p);
83 for (i = 0; i < bmap->n_ineq; ++i)
84 p = print_constraint_polylib(bmap, 1, i, p);
89 static __isl_give isl_printer *bset_print_constraints_polylib(
90 struct isl_basic_set *bset, __isl_take isl_printer *p)
92 return print_constraints_polylib((struct isl_basic_map *)bset, p);
95 static __isl_give isl_printer *isl_basic_map_print_polylib(
96 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int ext)
98 unsigned total = isl_basic_map_total_dim(bmap);
99 p = isl_printer_start_line(p);
100 p = isl_printer_print_int(p, bmap->n_eq + bmap->n_ineq);
101 p = isl_printer_print_str(p, " ");
102 p = isl_printer_print_int(p, 1 + total + 1);
104 p = isl_printer_print_str(p, " ");
105 p = isl_printer_print_int(p,
106 isl_basic_map_dim(bmap, isl_dim_out));
107 p = isl_printer_print_str(p, " ");
108 p = isl_printer_print_int(p,
109 isl_basic_map_dim(bmap, isl_dim_in));
110 p = isl_printer_print_str(p, " ");
111 p = isl_printer_print_int(p,
112 isl_basic_map_dim(bmap, isl_dim_div));
113 p = isl_printer_print_str(p, " ");
114 p = isl_printer_print_int(p,
115 isl_basic_map_dim(bmap, isl_dim_param));
117 p = isl_printer_end_line(p);
118 return print_constraints_polylib(bmap, p);
121 static __isl_give isl_printer *isl_basic_set_print_polylib(
122 __isl_keep isl_basic_set *bset, __isl_take isl_printer *p, int ext)
124 return isl_basic_map_print_polylib((struct isl_basic_map *)bset, p, ext);
127 static __isl_give isl_printer *isl_map_print_polylib(__isl_keep isl_map *map,
128 __isl_take isl_printer *p, int ext)
132 p = isl_printer_start_line(p);
133 p = isl_printer_print_int(p, map->n);
134 p = isl_printer_end_line(p);
135 for (i = 0; i < map->n; ++i) {
136 p = isl_printer_start_line(p);
137 p = isl_printer_end_line(p);
138 p = isl_basic_map_print_polylib(map->p[i], p, ext);
143 static __isl_give isl_printer *isl_set_print_polylib(__isl_keep isl_set *set,
144 __isl_take isl_printer *p, int ext)
146 return isl_map_print_polylib((struct isl_map *)set, p, ext);
149 static int count_same_name(__isl_keep isl_dim *dim,
150 enum isl_dim_type type, unsigned pos, const char *name)
156 for (t = isl_dim_param; t <= type && t <= isl_dim_out; ++t) {
157 s = t == type ? pos : isl_dim_size(dim, t);
158 for (p = 0; p < s; ++p) {
159 const char *n = isl_dim_get_name(dim, t, p);
160 if (n && !strcmp(n, name))
167 static __isl_give isl_printer *print_name(__isl_keep isl_dim *dim,
168 __isl_take isl_printer *p, enum isl_dim_type type, unsigned pos,
175 name = type == isl_dim_div ? NULL : isl_dim_get_name(dim, type, pos);
179 if (type == isl_dim_param)
180 prefix = s_param_prefix[latex];
181 else if (type == isl_dim_div)
182 prefix = s_div_prefix[latex];
183 else if (set || type == isl_dim_in)
184 prefix = s_input_prefix[latex];
186 prefix = s_output_prefix[latex];
187 snprintf(buffer, sizeof(buffer), "%s%d", prefix, pos);
190 primes = count_same_name(dim, name == buffer ? isl_dim_div : type,
192 p = isl_printer_print_str(p, name);
194 p = isl_printer_print_str(p, "'");
198 static enum isl_dim_type pos2type(__isl_keep isl_dim *dim, unsigned *pos)
200 enum isl_dim_type type;
201 unsigned n_in = isl_dim_size(dim, isl_dim_in);
202 unsigned n_out = isl_dim_size(dim, isl_dim_out);
203 unsigned nparam = isl_dim_size(dim, isl_dim_param);
205 if (*pos < 1 + nparam) {
206 type = isl_dim_param;
208 } else if (*pos < 1 + nparam + n_in) {
211 } else if (*pos < 1 + nparam + n_in + n_out) {
213 *pos -= 1 + nparam + n_in;
216 *pos -= 1 + nparam + n_in + n_out;
222 static __isl_give isl_printer *print_term(__isl_keep isl_dim *dim,
223 isl_int c, unsigned pos, __isl_take isl_printer *p, int set, int latex)
225 enum isl_dim_type type;
228 return isl_printer_print_isl_int(p, c);
230 if (isl_int_is_one(c))
232 else if (isl_int_is_negone(c))
233 p = isl_printer_print_str(p, "-");
235 p = isl_printer_print_isl_int(p, c);
236 type = pos2type(dim, &pos);
237 p = print_name(dim, p, type, pos, set, latex);
241 static __isl_give isl_printer *print_affine_of_len(__isl_keep isl_dim *dim,
242 __isl_take isl_printer *p, isl_int *c, int len, int set)
247 for (i = 0, first = 1; i < len; ++i) {
249 if (isl_int_is_zero(c[i]))
252 if (isl_int_is_neg(c[i])) {
254 isl_int_neg(c[i], c[i]);
255 p = isl_printer_print_str(p, " - ");
257 p = isl_printer_print_str(p, " + ");
260 p = print_term(dim, c[i], i, p, set, 0);
262 isl_int_neg(c[i], c[i]);
265 p = isl_printer_print_str(p, "0");
269 static __isl_give isl_printer *print_affine(__isl_keep isl_basic_map *bmap,
270 __isl_keep isl_dim *dim, __isl_take isl_printer *p, isl_int *c, int set)
272 unsigned len = 1 + isl_basic_map_total_dim(bmap);
273 return print_affine_of_len(dim, p, c, len, set);
276 static int defining_equality(__isl_keep isl_basic_map *eq,
277 __isl_keep isl_dim *dim, enum isl_dim_type type, int pos)
285 pos += isl_dim_offset(dim, type);
286 total = isl_basic_map_total_dim(eq);
288 for (i = 0; i < eq->n_eq; ++i) {
289 if (isl_seq_last_non_zero(eq->eq[i] + 1, total) != pos)
291 if (isl_int_is_one(eq->eq[i][1 + pos]))
292 isl_seq_neg(eq->eq[i], eq->eq[i], 1 + total);
299 /* offset is the offset of local_dim inside global_type of global_dim.
301 static __isl_give isl_printer *print_nested_var_list(__isl_take isl_printer *p,
302 __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
303 __isl_keep isl_dim *local_dim, enum isl_dim_type local_type,
304 int set, int latex, __isl_keep isl_basic_map *eq, int offset)
308 if (global_dim != local_dim && local_type == isl_dim_out)
309 offset += local_dim->n_in;
311 for (i = 0; i < isl_dim_size(local_dim, local_type); ++i) {
313 p = isl_printer_print_str(p, ", ");
314 j = defining_equality(eq, global_dim, global_type, offset + i);
316 int pos = 1 + isl_dim_offset(global_dim, global_type)
318 p = print_affine_of_len(eq->dim, p, eq->eq[j], pos, set);
320 p = print_name(global_dim, p, global_type, offset + i,
327 static __isl_give isl_printer *print_var_list(__isl_keep isl_dim *dim,
328 __isl_take isl_printer *p, enum isl_dim_type type,
329 int set, int latex, __isl_keep isl_basic_map *eq)
331 return print_nested_var_list(p, dim, type, dim, type, set, latex, eq, 0);
334 static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p,
335 __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
336 __isl_keep isl_dim *local_dim,
337 int set, int latex, __isl_keep isl_basic_map *eq, int offset);
339 static __isl_give isl_printer *print_nested_tuple(__isl_take isl_printer *p,
340 __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
341 __isl_keep isl_dim *local_dim, enum isl_dim_type local_type,
342 int set, int latex, __isl_keep isl_basic_map *eq, int offset)
344 const char *name = NULL;
345 unsigned n = isl_dim_size(local_dim, local_type);
346 if ((local_type == isl_dim_in || local_type == isl_dim_out)) {
347 name = isl_dim_get_tuple_name(local_dim, local_type);
350 p = isl_printer_print_str(p, "\\mathrm{");
351 p = isl_printer_print_str(p, name);
353 p = isl_printer_print_str(p, "}");
356 if (!latex || n != 1 || name)
357 p = isl_printer_print_str(p, s_open_list[latex]);
358 if ((local_type == isl_dim_in || local_type == isl_dim_out) &&
359 local_dim->nested[local_type - isl_dim_in]) {
360 if (global_dim != local_dim && local_type == isl_dim_out)
361 offset += local_dim->n_in;
362 p = print_nested_map_dim(p, global_dim, global_type,
363 local_dim->nested[local_type - isl_dim_in],
364 set, latex, eq, offset);
366 p = print_nested_var_list(p, global_dim, global_type,
367 local_dim, local_type, set, latex, eq, offset);
368 if (!latex || n != 1 || name)
369 p = isl_printer_print_str(p, s_close_list[latex]);
373 static __isl_give isl_printer *print_tuple(__isl_keep isl_dim *dim,
374 __isl_take isl_printer *p, enum isl_dim_type type,
375 int set, int latex, __isl_keep isl_basic_map *eq)
377 return print_nested_tuple(p, dim, type, dim, type, set, latex, eq, 0);
380 static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p,
381 __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
382 __isl_keep isl_dim *local_dim,
383 int set, int latex, __isl_keep isl_basic_map *eq, int offset)
385 p = print_nested_tuple(p, global_dim, global_type,
386 local_dim, isl_dim_in, set, latex, eq, offset);
387 p = isl_printer_print_str(p, s_to[latex]);
388 p = print_nested_tuple(p, global_dim, global_type,
389 local_dim, isl_dim_out, set, latex, eq, offset);
394 static __isl_give isl_printer *print_dim(__isl_keep isl_dim *dim,
395 __isl_take isl_printer *p, int set, int latex,
396 __isl_keep isl_basic_map *eq)
399 p = print_tuple(dim, p, isl_dim_set, 1, latex, eq);
401 p = print_tuple(dim, p, isl_dim_in, 0, latex, eq);
402 p = isl_printer_print_str(p, s_to[latex]);
403 p = print_tuple(dim, p, isl_dim_out, 0, latex, eq);
409 static __isl_give isl_printer *print_omega_parameters(__isl_keep isl_dim *dim,
410 __isl_take isl_printer *p)
412 if (isl_dim_size(dim, isl_dim_param) == 0)
415 p = isl_printer_start_line(p);
416 p = isl_printer_print_str(p, "symbolic ");
417 p = print_var_list(dim, p, isl_dim_param, 0, 0, NULL);
418 p = isl_printer_print_str(p, ";");
419 p = isl_printer_end_line(p);
423 static __isl_give isl_printer *print_constraint(struct isl_basic_map *bmap,
424 __isl_keep isl_dim *dim, __isl_take isl_printer *p,
425 isl_int *c, int last, const char *op, int first_constraint, int set,
428 if (!first_constraint)
429 p = isl_printer_print_str(p, s_and[latex]);
431 isl_int_abs(c[last], c[last]);
433 p = print_term(dim, c[last], last, p, set, latex);
435 p = isl_printer_print_str(p, " ");
436 p = isl_printer_print_str(p, op);
437 p = isl_printer_print_str(p, " ");
439 isl_int_set_si(c[last], 0);
440 p = print_affine(bmap, dim, p, c, set);
445 static __isl_give isl_printer *print_constraints(__isl_keep isl_basic_map *bmap,
446 __isl_keep isl_dim *dim, __isl_take isl_printer *p, int set, int latex)
450 unsigned total = isl_basic_map_total_dim(bmap);
452 c = isl_vec_alloc(bmap->ctx, 1 + total);
456 for (i = bmap->n_eq - 1; i >= 0; --i) {
457 int l = isl_seq_last_non_zero(bmap->eq[i], 1 + total);
458 isl_assert(bmap->ctx, l >= 0, goto error);
459 if (isl_int_is_neg(bmap->eq[i][l]))
460 isl_seq_cpy(c->el, bmap->eq[i], 1 + total);
462 isl_seq_neg(c->el, bmap->eq[i], 1 + total);
463 p = print_constraint(bmap, dim, p, c->el, l,
464 "=", i == bmap->n_eq - 1, set, latex);
466 for (i = 0; i < bmap->n_ineq; ++i) {
467 int l = isl_seq_last_non_zero(bmap->ineq[i], 1 + total);
472 s = isl_int_sgn(bmap->ineq[i][l]);
474 isl_seq_cpy(c->el, bmap->ineq[i], 1 + total);
476 isl_seq_neg(c->el, bmap->ineq[i], 1 + total);
477 op = s < 0 ? s_le[latex] : s_ge[latex];
478 p = print_constraint(bmap, dim, p, c->el, l,
479 op, !bmap->n_eq && !i, set, latex);
490 static __isl_give isl_printer *print_omega_constraints(
491 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int set)
493 if (bmap->n_eq + bmap->n_ineq == 0)
496 p = isl_printer_print_str(p, ": ");
497 if (bmap->n_div > 0) {
499 p = isl_printer_print_str(p, "exists (");
500 for (i = 0; i < bmap->n_div; ++i) {
502 p = isl_printer_print_str(p, ", ");
503 p = print_name(bmap->dim, p, isl_dim_div, i, 0, 0);
505 p = isl_printer_print_str(p, ": ");
507 p = print_constraints(bmap, bmap->dim, p, set, 0);
509 p = isl_printer_print_str(p, ")");
513 static __isl_give isl_printer *basic_map_print_omega(
514 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
516 p = isl_printer_print_str(p, "{ [");
517 p = print_var_list(bmap->dim, p, isl_dim_in, 0, 0, NULL);
518 p = isl_printer_print_str(p, "] -> [");
519 p = print_var_list(bmap->dim, p, isl_dim_out, 0, 0, NULL);
520 p = isl_printer_print_str(p, "] ");
521 p = print_omega_constraints(bmap, p, 0);
522 p = isl_printer_print_str(p, " }");
526 static __isl_give isl_printer *isl_basic_map_print_omega(
527 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
529 p = print_omega_parameters(bmap->dim, p);
531 p = isl_printer_start_line(p);
532 p = basic_map_print_omega(bmap, p);
533 p = isl_printer_end_line(p);
537 static __isl_give isl_printer *basic_set_print_omega(
538 __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
540 p = isl_printer_print_str(p, "{ [");
541 p = print_var_list(bset->dim, p, isl_dim_set, 1, 0, NULL);
542 p = isl_printer_print_str(p, "] ");
543 p = print_omega_constraints((isl_basic_map *)bset, p, 1);
544 p = isl_printer_print_str(p, " }");
548 static __isl_give isl_printer *isl_basic_set_print_omega(
549 __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
551 p = print_omega_parameters(bset->dim, p);
553 p = isl_printer_start_line(p);
554 p = basic_set_print_omega(bset, p);
555 p = isl_printer_end_line(p);
559 static __isl_give isl_printer *isl_map_print_omega(__isl_keep isl_map *map,
560 __isl_take isl_printer *p)
564 p = print_omega_parameters(map->dim, p);
566 p = isl_printer_start_line(p);
567 for (i = 0; i < map->n; ++i) {
569 p = isl_printer_print_str(p, " union ");
570 p = basic_map_print_omega(map->p[i], p);
572 p = isl_printer_end_line(p);
576 static __isl_give isl_printer *isl_set_print_omega(__isl_keep isl_set *set,
577 __isl_take isl_printer *p)
581 p = print_omega_parameters(set->dim, p);
583 p = isl_printer_start_line(p);
584 for (i = 0; i < set->n; ++i) {
586 p = isl_printer_print_str(p, " union ");
587 p = basic_set_print_omega(set->p[i], p);
589 p = isl_printer_end_line(p);
593 static __isl_give isl_printer *print_disjunct(__isl_keep isl_basic_map *bmap,
594 __isl_keep isl_dim *dim, __isl_take isl_printer *p, int set, int latex)
596 if (bmap->n_div > 0) {
598 p = isl_printer_print_str(p, s_open_exists[latex]);
599 for (i = 0; i < bmap->n_div; ++i) {
601 p = isl_printer_print_str(p, ", ");
602 p = print_name(dim, p, isl_dim_div, i, 0, latex);
603 if (latex || isl_int_is_zero(bmap->div[i][0]))
605 p = isl_printer_print_str(p, " = [(");
606 p = print_affine(bmap, dim, p, bmap->div[i] + 1, set);
607 p = isl_printer_print_str(p, ")/");
608 p = isl_printer_print_isl_int(p, bmap->div[i][0]);
609 p = isl_printer_print_str(p, "]");
611 p = isl_printer_print_str(p, ": ");
614 p = print_constraints(bmap, dim, p, set, latex);
617 p = isl_printer_print_str(p, s_close_exists[latex]);
621 static __isl_give isl_printer *isl_basic_map_print_isl(
622 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int latex)
626 p = isl_printer_start_line(p);
627 if (isl_basic_map_dim(bmap, isl_dim_param) > 0) {
628 p = print_tuple(bmap->dim, p, isl_dim_param, 0, latex, NULL);
629 p = isl_printer_print_str(p, " -> ");
631 p = isl_printer_print_str(p, "{ ");
632 p = print_dim(bmap->dim, p, 0, latex, NULL);
633 p = isl_printer_print_str(p, " : ");
634 p = print_disjunct(bmap, bmap->dim, p, 0, latex);
635 p = isl_printer_print_str(p, " }");
636 p = isl_printer_end_line(p);
640 static __isl_give isl_printer *isl_basic_set_print_isl(
641 __isl_keep isl_basic_set *bset, __isl_take isl_printer *p, int latex)
645 p = isl_printer_start_line(p);
646 if (isl_basic_set_dim(bset, isl_dim_param) > 0) {
647 p = print_tuple(bset->dim, p, isl_dim_param, 0, latex, NULL);
648 p = isl_printer_print_str(p, " -> ");
650 p = isl_printer_print_str(p, "{ ");
651 p = print_dim(bset->dim, p, 1, latex, NULL);
652 p = isl_printer_print_str(p, " : ");
653 p = print_disjunct((isl_basic_map *)bset, bset->dim, p, 1, latex);
654 p = isl_printer_print_str(p, " }");
655 p = isl_printer_end_line(p);
659 static __isl_give isl_printer *print_disjuncts(__isl_keep isl_map *map,
660 __isl_take isl_printer *p, int set, int latex)
664 if (isl_map_fast_is_universe(map))
667 p = isl_printer_print_str(p, s_such_that[latex]);
669 p = isl_printer_print_str(p, "1 = 0");
670 for (i = 0; i < map->n; ++i) {
672 p = isl_printer_print_str(p, s_or[latex]);
673 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
674 p = isl_printer_print_str(p, "(");
675 p = print_disjunct(map->p[i], map->dim, p, set, latex);
676 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
677 p = isl_printer_print_str(p, ")");
682 struct isl_aff_split {
687 static void free_split(__isl_take struct isl_aff_split *split, int n)
694 for (i = 0; i < n; ++i) {
695 isl_basic_map_free(split[i].aff);
696 isl_map_free(split[i].map);
702 static __isl_give isl_basic_map *get_aff(__isl_take isl_basic_map *bmap)
705 unsigned nparam, n_in, n_out, total;
707 bmap = isl_basic_map_cow(bmap);
710 if (isl_basic_map_free_inequality(bmap, bmap->n_ineq) < 0)
713 nparam = isl_basic_map_dim(bmap, isl_dim_param);
714 n_in = isl_basic_map_dim(bmap, isl_dim_in);
715 n_out = isl_basic_map_dim(bmap, isl_dim_out);
716 total = isl_basic_map_dim(bmap, isl_dim_all);
717 for (i = bmap->n_eq - 1; i >= 0; --i) {
718 j = isl_seq_last_non_zero(bmap->eq[i] + 1, total);
719 if (j >= nparam && j < nparam + n_in + n_out &&
720 (isl_int_is_one(bmap->eq[i][1 + j]) ||
721 isl_int_is_negone(bmap->eq[i][1 + j])))
723 if (isl_basic_map_drop_equality(bmap, i) < 0)
727 bmap = isl_basic_map_finalize(bmap);
731 isl_basic_map_free(bmap);
735 static int aff_split_cmp(const void *p1, const void *p2)
737 const struct isl_aff_split *s1, *s2;
738 s1 = (const struct isl_aff_split *) p1;
739 s2 = (const struct isl_aff_split *) p2;
741 return isl_basic_map_fast_cmp(s1->aff, s2->aff);
744 static __isl_give isl_basic_map *drop_aff(__isl_take isl_basic_map *bmap,
745 __isl_keep isl_basic_map *aff)
753 total = isl_dim_total(bmap->dim);
755 for (i = bmap->n_eq - 1; i >= 0; --i) {
756 if (isl_seq_first_non_zero(bmap->eq[i] + 1 + total,
759 for (j = 0; j < aff->n_eq; ++j) {
760 if (!isl_seq_eq(bmap->eq[i], aff->eq[j], 1 + total) &&
761 !isl_seq_is_neg(bmap->eq[i], aff->eq[j], 1 + total))
763 if (isl_basic_map_drop_equality(bmap, i) < 0)
771 isl_basic_map_free(bmap);
775 static __isl_give struct isl_aff_split *split_aff(__isl_keep isl_map *map)
778 struct isl_aff_split *split;
780 split = isl_calloc_array(map->isl, struct isl_aff_split, map->n);
784 for (i = 0; i < map->n; ++i) {
786 split[i].aff = get_aff(isl_basic_map_copy(map->p[i]));
787 bmap = isl_basic_map_copy(map->p[i]);
788 bmap = isl_basic_map_cow(bmap);
789 bmap = drop_aff(bmap, split[i].aff);
790 split[i].map = isl_map_from_basic_map(bmap);
791 if (!split[i].aff || !split[i].map)
795 qsort(split, map->n, sizeof(struct isl_aff_split), &aff_split_cmp);
798 for (i = n - 1; i >= 1; --i) {
799 if (!isl_basic_map_fast_is_equal(split[i - 1].aff,
802 isl_basic_map_free(split[i].aff);
803 split[i - 1].map = isl_map_union(split[i - 1].map,
806 split[i] = split[n - 1];
807 split[n - 1].aff = NULL;
808 split[n - 1].map = NULL;
814 free_split(split, map->n);
818 static __isl_give isl_printer *print_split_map(__isl_take isl_printer *p,
819 struct isl_aff_split *split, int n, int set)
823 for (i = 0; i < n; ++i) {
828 dim = split[i].map->dim;
830 p = isl_printer_print_str(p, "; ");
831 p = print_dim(dim, p, set, 0, split[i].aff);
832 p = print_disjuncts(split[i].map, p, set, 0);
838 static __isl_give isl_printer *isl_map_print_isl_body(__isl_keep isl_map *map,
839 __isl_take isl_printer *p, int set)
841 struct isl_aff_split *split = NULL;
844 split = split_aff(map);
846 p = print_split_map(p, split, map->n, set);
848 p = print_dim(map->dim, p, set, 0, NULL);
849 p = print_disjuncts(map, p, set, 0);
851 free_split(split, map->n);
855 static __isl_give isl_printer *isl_map_print_isl(__isl_keep isl_map *map,
856 __isl_take isl_printer *p, int set)
858 if (isl_map_dim(map, isl_dim_param) > 0) {
859 p = print_tuple(map->dim, p, isl_dim_param, set, 0, NULL);
860 p = isl_printer_print_str(p, s_to[0]);
862 p = isl_printer_print_str(p, s_open_set[0]);
863 p = isl_map_print_isl_body(map, p, set);
864 p = isl_printer_print_str(p, s_close_set[0]);
868 static __isl_give isl_printer *print_latex_map(__isl_keep isl_map *map,
869 __isl_take isl_printer *p, __isl_keep isl_basic_map *aff, int set)
871 if (isl_map_dim(map, isl_dim_param) > 0) {
872 p = print_tuple(map->dim, p, isl_dim_param, set, 1, NULL);
873 p = isl_printer_print_str(p, s_to[1]);
875 p = isl_printer_print_str(p, s_open_set[1]);
876 p = print_dim(map->dim, p, set, 1, aff);
877 p = print_disjuncts(map, p, set, 1);
878 p = isl_printer_print_str(p, s_close_set[1]);
883 static __isl_give isl_printer *isl_map_print_latex(__isl_keep isl_map *map,
884 __isl_take isl_printer *p, int set)
887 struct isl_aff_split *split = NULL;
890 split = split_aff(map);
893 return print_latex_map(map, p, NULL, set);
895 for (i = 0; i < map->n; ++i) {
899 p = isl_printer_print_str(p, " \\cup ");
900 p = print_latex_map(split[i].map, p, split[i].aff, set);
903 free_split(split, map->n);
907 __isl_give isl_printer *isl_printer_print_basic_map(__isl_take isl_printer *p,
908 __isl_keep isl_basic_map *bmap)
912 if (p->output_format == ISL_FORMAT_ISL)
913 return isl_basic_map_print_isl(bmap, p, 0);
914 else if (p->output_format == ISL_FORMAT_OMEGA)
915 return isl_basic_map_print_omega(bmap, p);
916 isl_assert(bmap->ctx, 0, goto error);
922 void isl_basic_map_print(__isl_keep isl_basic_map *bmap, FILE *out, int indent,
923 const char *prefix, const char *suffix, unsigned output_format)
925 isl_printer *printer;
930 printer = isl_printer_to_file(bmap->ctx, out);
931 printer = isl_printer_set_indent(printer, indent);
932 printer = isl_printer_set_prefix(printer, prefix);
933 printer = isl_printer_set_suffix(printer, suffix);
934 printer = isl_printer_set_output_format(printer, output_format);
935 isl_printer_print_basic_map(printer, bmap);
937 isl_printer_free(printer);
940 __isl_give isl_printer *isl_printer_print_basic_set(__isl_take isl_printer *p,
941 __isl_keep isl_basic_set *bset)
946 if (p->output_format == ISL_FORMAT_ISL)
947 return isl_basic_set_print_isl(bset, p, 0);
948 else if (p->output_format == ISL_FORMAT_POLYLIB)
949 return isl_basic_set_print_polylib(bset, p, 0);
950 else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
951 return isl_basic_set_print_polylib(bset, p, 1);
952 else if (p->output_format == ISL_FORMAT_POLYLIB_CONSTRAINTS)
953 return bset_print_constraints_polylib(bset, p);
954 else if (p->output_format == ISL_FORMAT_OMEGA)
955 return isl_basic_set_print_omega(bset, p);
956 isl_assert(p->ctx, 0, goto error);
962 void isl_basic_set_print(struct isl_basic_set *bset, FILE *out, int indent,
963 const char *prefix, const char *suffix, unsigned output_format)
965 isl_printer *printer;
970 printer = isl_printer_to_file(bset->ctx, out);
971 printer = isl_printer_set_indent(printer, indent);
972 printer = isl_printer_set_prefix(printer, prefix);
973 printer = isl_printer_set_suffix(printer, suffix);
974 printer = isl_printer_set_output_format(printer, output_format);
975 isl_printer_print_basic_set(printer, bset);
977 isl_printer_free(printer);
980 __isl_give isl_printer *isl_printer_print_set(__isl_take isl_printer *p,
981 __isl_keep isl_set *set)
985 if (p->output_format == ISL_FORMAT_ISL)
986 return isl_map_print_isl((isl_map *)set, p, 1);
987 else if (p->output_format == ISL_FORMAT_POLYLIB)
988 return isl_set_print_polylib(set, p, 0);
989 else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
990 return isl_set_print_polylib(set, p, 1);
991 else if (p->output_format == ISL_FORMAT_OMEGA)
992 return isl_set_print_omega(set, p);
993 else if (p->output_format == ISL_FORMAT_LATEX)
994 return isl_map_print_latex((isl_map *)set, p, 1);
995 isl_assert(set->ctx, 0, goto error);
1001 void isl_set_print(struct isl_set *set, FILE *out, int indent,
1002 unsigned output_format)
1004 isl_printer *printer;
1009 printer = isl_printer_to_file(set->ctx, out);
1010 printer = isl_printer_set_indent(printer, indent);
1011 printer = isl_printer_set_output_format(printer, output_format);
1012 printer = isl_printer_print_set(printer, set);
1014 isl_printer_free(printer);
1017 __isl_give isl_printer *isl_printer_print_map(__isl_take isl_printer *p,
1018 __isl_keep isl_map *map)
1023 if (p->output_format == ISL_FORMAT_ISL)
1024 return isl_map_print_isl(map, p, 0);
1025 else if (p->output_format == ISL_FORMAT_POLYLIB)
1026 return isl_map_print_polylib(map, p, 0);
1027 else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
1028 return isl_map_print_polylib(map, p, 1);
1029 else if (p->output_format == ISL_FORMAT_OMEGA)
1030 return isl_map_print_omega(map, p);
1031 else if (p->output_format == ISL_FORMAT_LATEX)
1032 return isl_map_print_latex(map, p, 0);
1033 isl_assert(map->ctx, 0, goto error);
1035 isl_printer_free(p);
1039 struct isl_union_print_data {
1045 static int print_map_body(__isl_take isl_map *map, void *user)
1047 struct isl_union_print_data *data;
1048 data = (struct isl_union_print_data *)user;
1051 data->p = isl_printer_print_str(data->p, "; ");
1054 data->p = isl_map_print_isl_body(map, data->p, data->set);
1060 static __isl_give isl_printer *isl_union_map_print_isl(
1061 __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
1063 struct isl_union_print_data data = { p, set, 1 };
1065 dim = isl_union_map_get_dim(umap);
1066 if (isl_dim_size(dim, isl_dim_param) > 0) {
1067 p = print_tuple(dim, p, isl_dim_param, set, 0, NULL);
1068 p = isl_printer_print_str(p, s_to[0]);
1071 p = isl_printer_print_str(p, s_open_set[0]);
1072 isl_union_map_foreach_map(umap, &print_map_body, &data);
1074 p = isl_printer_print_str(p, s_close_set[0]);
1078 static int print_latex_map_body(__isl_take isl_map *map, void *user)
1080 struct isl_union_print_data *data;
1081 data = (struct isl_union_print_data *)user;
1084 data->p = isl_printer_print_str(data->p, " \\cup ");
1087 data->p = isl_map_print_latex(map, data->p, data->set);
1093 static __isl_give isl_printer *isl_union_map_print_latex(
1094 __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
1096 struct isl_union_print_data data = { p, set, 1 };
1097 isl_union_map_foreach_map(umap, &print_latex_map_body, &data);
1102 __isl_give isl_printer *isl_printer_print_union_map(__isl_take isl_printer *p,
1103 __isl_keep isl_union_map *umap)
1108 if (p->output_format == ISL_FORMAT_ISL)
1109 return isl_union_map_print_isl(umap, p, 0);
1110 if (p->output_format == ISL_FORMAT_LATEX)
1111 return isl_union_map_print_latex(umap, p, 0);
1113 isl_die(p->ctx, isl_error_invalid,
1114 "invalid output format for isl_union_map", goto error);
1116 isl_printer_free(p);
1120 __isl_give isl_printer *isl_printer_print_union_set(__isl_take isl_printer *p,
1121 __isl_keep isl_union_set *uset)
1126 if (p->output_format == ISL_FORMAT_ISL)
1127 return isl_union_map_print_isl((isl_union_map *)uset, p, 1);
1128 if (p->output_format == ISL_FORMAT_LATEX)
1129 return isl_union_map_print_latex((isl_union_map *)uset, p, 1);
1131 isl_die(p->ctx, isl_error_invalid,
1132 "invalid output format for isl_union_set", goto error);
1134 isl_printer_free(p);
1138 void isl_map_print(__isl_keep isl_map *map, FILE *out, int indent,
1139 unsigned output_format)
1141 isl_printer *printer;
1146 printer = isl_printer_to_file(map->ctx, out);
1147 printer = isl_printer_set_indent(printer, indent);
1148 printer = isl_printer_set_output_format(printer, output_format);
1149 printer = isl_printer_print_map(printer, map);
1151 isl_printer_free(printer);
1154 void isl_union_map_dump(__isl_keep isl_union_map *umap)
1156 isl_printer *printer;
1161 printer = isl_printer_to_file(isl_union_map_get_ctx(umap), stderr);
1162 printer = isl_printer_print_union_map(printer, umap);
1163 printer = isl_printer_end_line(printer);
1165 isl_printer_free(printer);
1168 void isl_union_set_dump(__isl_keep isl_union_set *uset)
1170 isl_printer *printer;
1175 printer = isl_printer_to_file(isl_union_set_get_ctx(uset), stderr);
1176 printer = isl_printer_print_union_set(printer, uset);
1177 printer = isl_printer_end_line(printer);
1179 isl_printer_free(printer);
1182 void isl_union_pw_qpolynomial_dump(__isl_keep isl_union_pw_qpolynomial *upwqp)
1184 isl_printer *printer;
1189 printer = isl_printer_to_file(isl_union_pw_qpolynomial_get_ctx(upwqp),
1191 printer = isl_printer_print_union_pw_qpolynomial(printer, upwqp);
1192 printer = isl_printer_end_line(printer);
1194 isl_printer_free(printer);
1197 void isl_union_pw_qpolynomial_fold_dump(
1198 __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1200 isl_printer *printer;
1205 printer = isl_printer_to_file(
1206 isl_union_pw_qpolynomial_fold_get_ctx(upwf), stderr);
1207 printer = isl_printer_print_union_pw_qpolynomial_fold(printer, upwf);
1208 printer = isl_printer_end_line(printer);
1210 isl_printer_free(printer);
1213 static int upoly_rec_n_non_zero(__isl_keep struct isl_upoly_rec *rec)
1218 for (i = 0, n = 0; i < rec->n; ++i)
1219 if (!isl_upoly_is_zero(rec->p[i]))
1225 static __isl_give isl_printer *print_div(__isl_keep isl_dim *dim,
1226 __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p)
1228 int c = p->output_format == ISL_FORMAT_C;
1229 p = isl_printer_print_str(p, c ? "floord(" : "[(");
1230 p = print_affine_of_len(dim, p, div->row[pos] + 1, div->n_col - 1, 1);
1231 p = isl_printer_print_str(p, c ? ", " : ")/");
1232 p = isl_printer_print_isl_int(p, div->row[pos][0]);
1233 p = isl_printer_print_str(p, c ? ")" : "]");
1237 static __isl_give isl_printer *upoly_print_cst(__isl_keep struct isl_upoly *up,
1238 __isl_take isl_printer *p, int first)
1240 struct isl_upoly_cst *cst;
1243 cst = isl_upoly_as_cst(up);
1246 neg = !first && isl_int_is_neg(cst->n);
1248 p = isl_printer_print_str(p, neg ? " - " : " + ");
1250 isl_int_neg(cst->n, cst->n);
1251 if (isl_int_is_zero(cst->d)) {
1252 int sgn = isl_int_sgn(cst->n);
1253 p = isl_printer_print_str(p, sgn < 0 ? "-infty" :
1254 sgn == 0 ? "NaN" : "infty");
1256 p = isl_printer_print_isl_int(p, cst->n);
1258 isl_int_neg(cst->n, cst->n);
1259 if (!isl_int_is_zero(cst->d) && !isl_int_is_one(cst->d)) {
1260 p = isl_printer_print_str(p, "/");
1261 p = isl_printer_print_isl_int(p, cst->d);
1265 isl_printer_free(p);
1269 static __isl_give isl_printer *print_base(__isl_take isl_printer *p,
1270 __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var)
1274 total = isl_dim_total(dim);
1276 p = print_term(dim, dim->ctx->one, 1 + var, p, 1, 0);
1278 p = print_div(dim, div, var - total, p);
1282 static __isl_give isl_printer *print_pow(__isl_take isl_printer *p,
1283 __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var, int exp)
1285 p = print_base(p, dim, div, var);
1288 if (p->output_format == ISL_FORMAT_C) {
1290 for (i = 1; i < exp; ++i) {
1291 p = isl_printer_print_str(p, "*");
1292 p = print_base(p, dim, div, var);
1295 p = isl_printer_print_str(p, "^");
1296 p = isl_printer_print_int(p, exp);
1301 static __isl_give isl_printer *upoly_print(__isl_keep struct isl_upoly *up,
1302 __isl_keep isl_dim *dim, __isl_keep isl_mat *div,
1303 __isl_take isl_printer *p, int outer)
1305 int i, n, first, print_parens;
1306 struct isl_upoly_rec *rec;
1308 if (!p || !up || !dim || !div)
1311 if (isl_upoly_is_cst(up))
1312 return upoly_print_cst(up, p, 1);
1314 rec = isl_upoly_as_rec(up);
1317 n = upoly_rec_n_non_zero(rec);
1318 print_parens = n > 1 || (outer && rec->up.var >= isl_dim_total(dim));
1320 p = isl_printer_print_str(p, "(");
1321 for (i = 0, first = 1; i < rec->n; ++i) {
1322 if (isl_upoly_is_zero(rec->p[i]))
1324 if (isl_upoly_is_negone(rec->p[i])) {
1326 p = isl_printer_print_str(p, "-1");
1328 p = isl_printer_print_str(p, "-");
1330 p = isl_printer_print_str(p, " - ");
1331 } else if (isl_upoly_is_cst(rec->p[i]) &&
1332 !isl_upoly_is_one(rec->p[i]))
1333 p = upoly_print_cst(rec->p[i], p, first);
1336 p = isl_printer_print_str(p, " + ");
1337 if (i == 0 || !isl_upoly_is_one(rec->p[i]))
1338 p = upoly_print(rec->p[i], dim, div, p, 0);
1343 if (!isl_upoly_is_one(rec->p[i]) &&
1344 !isl_upoly_is_negone(rec->p[i]))
1345 p = isl_printer_print_str(p, " * ");
1346 p = print_pow(p, dim, div, rec->up.var, i);
1349 p = isl_printer_print_str(p, ")");
1352 isl_printer_free(p);
1356 __isl_give isl_printer *isl_printer_print_qpolynomial(__isl_take isl_printer *p,
1357 __isl_keep isl_qpolynomial *qp)
1361 p = upoly_print(qp->upoly, qp->dim, qp->div, p, 1);
1364 isl_printer_free(p);
1368 void isl_qpolynomial_print(__isl_keep isl_qpolynomial *qp, FILE *out,
1369 unsigned output_format)
1376 isl_assert(qp->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1377 p = isl_printer_to_file(qp->dim->ctx, out);
1378 p = isl_printer_print_qpolynomial(p, qp);
1379 isl_printer_free(p);
1382 static __isl_give isl_printer *qpolynomial_fold_print(
1383 __isl_keep isl_qpolynomial_fold *fold, __isl_take isl_printer *p)
1387 if (fold->type == isl_fold_min)
1388 p = isl_printer_print_str(p, "min");
1389 else if (fold->type == isl_fold_max)
1390 p = isl_printer_print_str(p, "max");
1391 p = isl_printer_print_str(p, "(");
1392 for (i = 0; i < fold->n; ++i) {
1394 p = isl_printer_print_str(p, ", ");
1395 p = isl_printer_print_qpolynomial(p, fold->qp[i]);
1397 p = isl_printer_print_str(p, ")");
1401 __isl_give isl_printer *isl_printer_print_qpolynomial_fold(
1402 __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
1406 p = qpolynomial_fold_print(fold, p);
1409 isl_printer_free(p);
1413 void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold *fold,
1414 FILE *out, unsigned output_format)
1421 isl_assert(fold->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1423 p = isl_printer_to_file(fold->dim->ctx, out);
1424 p = isl_printer_print_qpolynomial_fold(p, fold);
1426 isl_printer_free(p);
1429 static __isl_give isl_printer *isl_pwqp_print_isl_body(
1430 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1434 for (i = 0; i < pwqp->n; ++i) {
1436 p = isl_printer_print_str(p, "; ");
1437 if (isl_dim_size(pwqp->p[i].set->dim, isl_dim_set) > 0 ||
1438 isl_dim_get_tuple_name(pwqp->p[i].set->dim, isl_dim_set)) {
1439 p = print_dim(pwqp->p[i].set->dim, p, 1, 0, NULL);
1440 p = isl_printer_print_str(p, " -> ");
1442 p = isl_printer_print_qpolynomial(p, pwqp->p[i].qp);
1443 p = print_disjuncts((isl_map *)pwqp->p[i].set, p, 1, 0);
1449 static __isl_give isl_printer *print_pw_qpolynomial_isl(
1450 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1455 if (isl_dim_size(pwqp->dim, isl_dim_param) > 0) {
1456 p = print_tuple(pwqp->dim, p, isl_dim_param, 0, 0, NULL);
1457 p = isl_printer_print_str(p, " -> ");
1459 p = isl_printer_print_str(p, "{ ");
1461 if (isl_dim_size(pwqp->dim, isl_dim_set) > 0) {
1462 p = print_dim(pwqp->dim, p, 1, 0, NULL);
1463 p = isl_printer_print_str(p, " -> ");
1465 p = isl_printer_print_str(p, "0");
1467 p = isl_pwqp_print_isl_body(p, pwqp);
1468 p = isl_printer_print_str(p, " }");
1471 isl_printer_free(p);
1475 void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial *pwqp, FILE *out,
1476 unsigned output_format)
1483 p = isl_printer_to_file(pwqp->dim->ctx, out);
1484 p = isl_printer_set_output_format(p, output_format);
1485 p = isl_printer_print_pw_qpolynomial(p, pwqp);
1487 isl_printer_free(p);
1490 static __isl_give isl_printer *isl_pwf_print_isl_body(
1491 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1495 for (i = 0; i < pwf->n; ++i) {
1497 p = isl_printer_print_str(p, "; ");
1498 if (isl_dim_size(pwf->p[i].set->dim, isl_dim_set) > 0) {
1499 p = print_dim(pwf->p[i].set->dim, p, 1, 0, NULL);
1500 p = isl_printer_print_str(p, " -> ");
1502 p = qpolynomial_fold_print(pwf->p[i].fold, p);
1503 p = print_disjuncts((isl_map *)pwf->p[i].set, p, 1, 0);
1509 static __isl_give isl_printer *print_pw_qpolynomial_fold_isl(
1510 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1512 if (isl_dim_size(pwf->dim, isl_dim_param) > 0) {
1513 p = print_tuple(pwf->dim, p, isl_dim_param, 0, 0, NULL);
1514 p = isl_printer_print_str(p, " -> ");
1516 p = isl_printer_print_str(p, "{ ");
1518 if (isl_dim_size(pwf->dim, isl_dim_set) > 0) {
1519 p = print_dim(pwf->dim, p, 1, 0, NULL);
1520 p = isl_printer_print_str(p, " -> ");
1522 p = isl_printer_print_str(p, "0");
1524 p = isl_pwf_print_isl_body(p, pwf);
1525 p = isl_printer_print_str(p, " }");
1529 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1530 __isl_keep isl_basic_set *bset, isl_int *c);
1532 static __isl_give isl_printer *print_name_c(__isl_take isl_printer *p,
1533 __isl_keep isl_basic_set *bset, enum isl_dim_type type, unsigned pos)
1535 if (type == isl_dim_div) {
1536 p = isl_printer_print_str(p, "floord(");
1537 p = print_affine_c(p, bset, bset->div[pos] + 1);
1538 p = isl_printer_print_str(p, ", ");
1539 p = isl_printer_print_isl_int(p, bset->div[pos][0]);
1540 p = isl_printer_print_str(p, ")");
1544 name = isl_dim_get_name(bset->dim, type, pos);
1547 p = isl_printer_print_str(p, name);
1552 static __isl_give isl_printer *print_term_c(__isl_take isl_printer *p,
1553 __isl_keep isl_basic_set *bset, isl_int c, unsigned pos)
1555 enum isl_dim_type type;
1556 unsigned nparam = isl_basic_set_dim(bset, isl_dim_param);
1559 return isl_printer_print_isl_int(p, c);
1561 if (isl_int_is_one(c))
1563 else if (isl_int_is_negone(c))
1564 p = isl_printer_print_str(p, "-");
1566 p = isl_printer_print_isl_int(p, c);
1567 p = isl_printer_print_str(p, "*");
1569 type = pos2type(bset->dim, &pos);
1570 p = print_name_c(p, bset, type, pos);
1574 static __isl_give isl_printer *print_partial_affine_c(__isl_take isl_printer *p,
1575 __isl_keep isl_basic_set *bset, isl_int *c, unsigned len)
1580 for (i = 0, first = 1; i < len; ++i) {
1582 if (isl_int_is_zero(c[i]))
1585 if (isl_int_is_neg(c[i])) {
1587 isl_int_neg(c[i], c[i]);
1588 p = isl_printer_print_str(p, " - ");
1590 p = isl_printer_print_str(p, " + ");
1593 p = print_term_c(p, bset, c[i], i);
1595 isl_int_neg(c[i], c[i]);
1598 p = isl_printer_print_str(p, "0");
1602 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1603 __isl_keep isl_basic_set *bset, isl_int *c)
1605 unsigned len = 1 + isl_basic_set_total_dim(bset);
1606 return print_partial_affine_c(p, bset, c, len);
1609 static __isl_give isl_printer *print_constraint_c(__isl_take isl_printer *p,
1610 __isl_keep isl_basic_set *bset, isl_int *c, const char *op, int first)
1613 p = isl_printer_print_str(p, " && ");
1615 p = print_affine_c(p, bset, c);
1616 p = isl_printer_print_str(p, " ");
1617 p = isl_printer_print_str(p, op);
1618 p = isl_printer_print_str(p, " 0");
1622 static __isl_give isl_printer *print_basic_set_c(__isl_take isl_printer *p,
1623 __isl_keep isl_basic_set *bset)
1626 unsigned n_div = isl_basic_set_dim(bset, isl_dim_div);
1627 unsigned total = isl_basic_set_total_dim(bset) - n_div;
1629 for (i = 0; i < bset->n_eq; ++i) {
1630 j = isl_seq_last_non_zero(bset->eq[i] + 1 + total, n_div);
1632 p = print_constraint_c(p, bset, bset->eq[i], "==", !i);
1635 p = isl_printer_print_str(p, " && ");
1636 p = isl_printer_print_str(p, "(");
1637 p = print_partial_affine_c(p, bset, bset->eq[i],
1639 p = isl_printer_print_str(p, ") % ");
1640 p = isl_printer_print_isl_int(p,
1641 bset->eq[i][1 + total + j]);
1642 p = isl_printer_print_str(p, " == 0");
1645 for (i = 0; i < bset->n_ineq; ++i)
1646 p = print_constraint_c(p, bset, bset->ineq[i], ">=",
1651 static __isl_give isl_printer *print_set_c(__isl_take isl_printer *p,
1652 __isl_keep isl_set *set)
1657 p = isl_printer_print_str(p, "0");
1659 for (i = 0; i < set->n; ++i) {
1661 p = isl_printer_print_str(p, " || ");
1663 p = isl_printer_print_str(p, "(");
1664 p = print_basic_set_c(p, set->p[i]);
1666 p = isl_printer_print_str(p, ")");
1671 static __isl_give isl_printer *print_qpolynomial_c(__isl_take isl_printer *p,
1672 __isl_keep isl_qpolynomial *qp)
1677 isl_qpolynomial_get_den(qp, &den);
1678 if (!isl_int_is_one(den)) {
1680 p = isl_printer_print_str(p, "(");
1681 qp = isl_qpolynomial_copy(qp);
1682 f = isl_qpolynomial_rat_cst(isl_dim_copy(qp->dim),
1683 den, qp->dim->ctx->one);
1684 qp = isl_qpolynomial_mul(qp, f);
1687 p = upoly_print(qp->upoly, qp->dim, qp->div, p, 0);
1688 if (!isl_int_is_one(den)) {
1689 p = isl_printer_print_str(p, ")/");
1690 p = isl_printer_print_isl_int(p, den);
1691 isl_qpolynomial_free(qp);
1697 static __isl_give isl_printer *print_pw_qpolynomial_c(
1698 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwpq)
1702 if (pwpq->n == 1 && isl_set_fast_is_universe(pwpq->p[0].set))
1703 return print_qpolynomial_c(p, pwpq->p[0].qp);
1705 for (i = 0; i < pwpq->n; ++i) {
1706 p = isl_printer_print_str(p, "(");
1707 p = print_set_c(p, pwpq->p[i].set);
1708 p = isl_printer_print_str(p, ") ? (");
1709 p = print_qpolynomial_c(p, pwpq->p[i].qp);
1710 p = isl_printer_print_str(p, ") : ");
1713 p = isl_printer_print_str(p, "0");
1717 __isl_give isl_printer *isl_printer_print_pw_qpolynomial(
1718 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1723 if (p->output_format == ISL_FORMAT_ISL)
1724 return print_pw_qpolynomial_isl(p, pwqp);
1725 else if (p->output_format == ISL_FORMAT_C)
1726 return print_pw_qpolynomial_c(p, pwqp);
1727 isl_assert(p->ctx, 0, goto error);
1729 isl_printer_free(p);
1733 static int print_pwqp_body(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1735 struct isl_union_print_data *data;
1736 data = (struct isl_union_print_data *)user;
1739 data->p = isl_printer_print_str(data->p, "; ");
1742 data->p = isl_pwqp_print_isl_body(data->p, pwqp);
1743 isl_pw_qpolynomial_free(pwqp);
1748 static __isl_give isl_printer *print_union_pw_qpolynomial_isl(
1749 __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
1751 struct isl_union_print_data data = { p, 1, 1 };
1753 dim = isl_union_pw_qpolynomial_get_dim(upwqp);
1754 if (isl_dim_size(dim, isl_dim_param) > 0) {
1755 p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
1756 p = isl_printer_print_str(p, " -> ");
1759 p = isl_printer_print_str(p, "{ ");
1760 isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &print_pwqp_body,
1763 p = isl_printer_print_str(p, " }");
1767 __isl_give isl_printer *isl_printer_print_union_pw_qpolynomial(
1768 __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
1773 if (p->output_format == ISL_FORMAT_ISL)
1774 return print_union_pw_qpolynomial_isl(p, upwqp);
1775 isl_die(p->ctx, isl_error_invalid,
1776 "invalid output format for isl_union_pw_qpolynomial",
1779 isl_printer_free(p);
1783 static __isl_give isl_printer *print_qpolynomial_fold_c(
1784 __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
1788 for (i = 0; i < fold->n - 1; ++i)
1789 if (fold->type == isl_fold_min)
1790 p = isl_printer_print_str(p, "min(");
1791 else if (fold->type == isl_fold_max)
1792 p = isl_printer_print_str(p, "max(");
1794 for (i = 0; i < fold->n; ++i) {
1796 p = isl_printer_print_str(p, ", ");
1797 p = print_qpolynomial_c(p, fold->qp[i]);
1799 p = isl_printer_print_str(p, ")");
1804 static __isl_give isl_printer *print_pw_qpolynomial_fold_c(
1805 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1809 if (pwf->n == 1 && isl_set_fast_is_universe(pwf->p[0].set))
1810 return print_qpolynomial_fold_c(p, pwf->p[0].fold);
1812 for (i = 0; i < pwf->n; ++i) {
1813 p = isl_printer_print_str(p, "(");
1814 p = print_set_c(p, pwf->p[i].set);
1815 p = isl_printer_print_str(p, ") ? (");
1816 p = print_qpolynomial_fold_c(p, pwf->p[i].fold);
1817 p = isl_printer_print_str(p, ") : ");
1820 p = isl_printer_print_str(p, "0");
1824 __isl_give isl_printer *isl_printer_print_pw_qpolynomial_fold(
1825 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1830 if (p->output_format == ISL_FORMAT_ISL)
1831 return print_pw_qpolynomial_fold_isl(p, pwf);
1832 else if (p->output_format == ISL_FORMAT_C)
1833 return print_pw_qpolynomial_fold_c(p, pwf);
1834 isl_assert(p->ctx, 0, goto error);
1836 isl_printer_free(p);
1840 void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold *pwf,
1841 FILE *out, unsigned output_format)
1848 p = isl_printer_to_file(pwf->dim->ctx, out);
1849 p = isl_printer_set_output_format(p, output_format);
1850 p = isl_printer_print_pw_qpolynomial_fold(p, pwf);
1852 isl_printer_free(p);
1855 static int print_pwf_body(__isl_take isl_pw_qpolynomial_fold *pwf, void *user)
1857 struct isl_union_print_data *data;
1858 data = (struct isl_union_print_data *)user;
1861 data->p = isl_printer_print_str(data->p, "; ");
1864 data->p = isl_pwf_print_isl_body(data->p, pwf);
1865 isl_pw_qpolynomial_fold_free(pwf);
1870 static __isl_give isl_printer *print_union_pw_qpolynomial_fold_isl(
1871 __isl_take isl_printer *p,
1872 __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1874 struct isl_union_print_data data = { p, 1, 1 };
1876 dim = isl_union_pw_qpolynomial_fold_get_dim(upwf);
1877 if (isl_dim_size(dim, isl_dim_param) > 0) {
1878 p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
1879 p = isl_printer_print_str(p, " -> ");
1882 p = isl_printer_print_str(p, "{ ");
1883 isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(upwf,
1884 &print_pwf_body, &data);
1886 p = isl_printer_print_str(p, " }");
1890 __isl_give isl_printer *isl_printer_print_union_pw_qpolynomial_fold(
1891 __isl_take isl_printer *p,
1892 __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1897 if (p->output_format == ISL_FORMAT_ISL)
1898 return print_union_pw_qpolynomial_fold_isl(p, upwf);
1899 isl_die(p->ctx, isl_error_invalid,
1900 "invalid output format for isl_union_pw_qpolynomial_fold",
1903 isl_printer_free(p);