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
15 #include <isl_ctx_private.h>
16 #include <isl_map_private.h>
19 #include <isl_polynomial_private.h>
20 #include <isl_printer_private.h>
21 #include <isl_dim_private.h>
22 #include <isl_mat_private.h>
23 #include <isl/union_map.h>
24 #include <isl/constraint.h>
25 #include <isl_local_space_private.h>
26 #include <isl_aff_private.h>
28 static const char *s_to[2] = { " -> ", " \\to " };
29 static const char *s_and[2] = { " and ", " \\wedge " };
30 static const char *s_or[2] = { " or ", " \\vee " };
31 static const char *s_le[2] = { "<=", "\\le" };
32 static const char *s_ge[2] = { ">=", "\\ge" };
33 static const char *s_open_set[2] = { "{ ", "\\{\\, " };
34 static const char *s_close_set[2] = { " }", " \\,\\}" };
35 static const char *s_open_list[2] = { "[", "(" };
36 static const char *s_close_list[2] = { "]", ")" };
37 static const char *s_such_that[2] = { " : ", " \\mid " };
38 static const char *s_open_exists[2] = { "exists (", "\\exists \\, " };
39 static const char *s_close_exists[2] = { ")", "" };
40 static const char *s_div_prefix[2] = { "e", "\\alpha_" };
41 static const char *s_param_prefix[2] = { "p", "p_" };
42 static const char *s_input_prefix[2] = { "i", "i_" };
43 static const char *s_output_prefix[2] = { "o", "o_" };
45 static __isl_give isl_printer *print_constraint_polylib(
46 struct isl_basic_map *bmap, int ineq, int n, __isl_take isl_printer *p)
49 unsigned n_in = isl_basic_map_dim(bmap, isl_dim_in);
50 unsigned n_out = isl_basic_map_dim(bmap, isl_dim_out);
51 unsigned nparam = isl_basic_map_dim(bmap, isl_dim_param);
52 isl_int *c = ineq ? bmap->ineq[n] : bmap->eq[n];
54 p = isl_printer_start_line(p);
55 p = isl_printer_print_int(p, ineq);
56 for (i = 0; i < n_out; ++i) {
57 p = isl_printer_print_str(p, " ");
58 p = isl_printer_print_isl_int(p, c[1+nparam+n_in+i]);
60 for (i = 0; i < n_in; ++i) {
61 p = isl_printer_print_str(p, " ");
62 p = isl_printer_print_isl_int(p, c[1+nparam+i]);
64 for (i = 0; i < bmap->n_div; ++i) {
65 p = isl_printer_print_str(p, " ");
66 p = isl_printer_print_isl_int(p, c[1+nparam+n_in+n_out+i]);
68 for (i = 0; i < nparam; ++i) {
69 p = isl_printer_print_str(p, " ");
70 p = isl_printer_print_isl_int(p, c[1+i]);
72 p = isl_printer_print_str(p, " ");
73 p = isl_printer_print_isl_int(p, c[0]);
74 p = isl_printer_end_line(p);
78 static __isl_give isl_printer *print_constraints_polylib(
79 struct isl_basic_map *bmap, __isl_take isl_printer *p)
83 p = isl_printer_set_isl_int_width(p, 5);
85 for (i = 0; i < bmap->n_eq; ++i)
86 p = print_constraint_polylib(bmap, 0, i, p);
87 for (i = 0; i < bmap->n_ineq; ++i)
88 p = print_constraint_polylib(bmap, 1, i, p);
93 static __isl_give isl_printer *bset_print_constraints_polylib(
94 struct isl_basic_set *bset, __isl_take isl_printer *p)
96 return print_constraints_polylib((struct isl_basic_map *)bset, p);
99 static __isl_give isl_printer *isl_basic_map_print_polylib(
100 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int ext)
102 unsigned total = isl_basic_map_total_dim(bmap);
103 p = isl_printer_start_line(p);
104 p = isl_printer_print_int(p, bmap->n_eq + bmap->n_ineq);
105 p = isl_printer_print_str(p, " ");
106 p = isl_printer_print_int(p, 1 + total + 1);
108 p = isl_printer_print_str(p, " ");
109 p = isl_printer_print_int(p,
110 isl_basic_map_dim(bmap, isl_dim_out));
111 p = isl_printer_print_str(p, " ");
112 p = isl_printer_print_int(p,
113 isl_basic_map_dim(bmap, isl_dim_in));
114 p = isl_printer_print_str(p, " ");
115 p = isl_printer_print_int(p,
116 isl_basic_map_dim(bmap, isl_dim_div));
117 p = isl_printer_print_str(p, " ");
118 p = isl_printer_print_int(p,
119 isl_basic_map_dim(bmap, isl_dim_param));
121 p = isl_printer_end_line(p);
122 return print_constraints_polylib(bmap, p);
125 static __isl_give isl_printer *isl_basic_set_print_polylib(
126 __isl_keep isl_basic_set *bset, __isl_take isl_printer *p, int ext)
128 return isl_basic_map_print_polylib((struct isl_basic_map *)bset, p, ext);
131 static __isl_give isl_printer *isl_map_print_polylib(__isl_keep isl_map *map,
132 __isl_take isl_printer *p, int ext)
136 p = isl_printer_start_line(p);
137 p = isl_printer_print_int(p, map->n);
138 p = isl_printer_end_line(p);
139 for (i = 0; i < map->n; ++i) {
140 p = isl_printer_start_line(p);
141 p = isl_printer_end_line(p);
142 p = isl_basic_map_print_polylib(map->p[i], p, ext);
147 static __isl_give isl_printer *isl_set_print_polylib(__isl_keep isl_set *set,
148 __isl_take isl_printer *p, int ext)
150 return isl_map_print_polylib((struct isl_map *)set, p, ext);
153 static int count_same_name(__isl_keep isl_dim *dim,
154 enum isl_dim_type type, unsigned pos, const char *name)
160 for (t = isl_dim_param; t <= type && t <= isl_dim_out; ++t) {
161 s = t == type ? pos : isl_dim_size(dim, t);
162 for (p = 0; p < s; ++p) {
163 const char *n = isl_dim_get_name(dim, t, p);
164 if (n && !strcmp(n, name))
171 static __isl_give isl_printer *print_name(__isl_keep isl_dim *dim,
172 __isl_take isl_printer *p, enum isl_dim_type type, unsigned pos,
179 name = type == isl_dim_div ? NULL : isl_dim_get_name(dim, type, pos);
183 if (type == isl_dim_param)
184 prefix = s_param_prefix[latex];
185 else if (type == isl_dim_div)
186 prefix = s_div_prefix[latex];
187 else if (set || type == isl_dim_in)
188 prefix = s_input_prefix[latex];
190 prefix = s_output_prefix[latex];
191 snprintf(buffer, sizeof(buffer), "%s%d", prefix, pos);
194 primes = count_same_name(dim, name == buffer ? isl_dim_div : type,
196 p = isl_printer_print_str(p, name);
198 p = isl_printer_print_str(p, "'");
202 static enum isl_dim_type pos2type(__isl_keep isl_dim *dim, unsigned *pos)
204 enum isl_dim_type type;
205 unsigned n_in = isl_dim_size(dim, isl_dim_in);
206 unsigned n_out = isl_dim_size(dim, isl_dim_out);
207 unsigned nparam = isl_dim_size(dim, isl_dim_param);
209 if (*pos < 1 + nparam) {
210 type = isl_dim_param;
212 } else if (*pos < 1 + nparam + n_in) {
215 } else if (*pos < 1 + nparam + n_in + n_out) {
217 *pos -= 1 + nparam + n_in;
220 *pos -= 1 + nparam + n_in + n_out;
226 static __isl_give isl_printer *print_div(__isl_keep isl_dim *dim,
227 __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p);
229 static __isl_give isl_printer *print_term(__isl_keep isl_dim *dim,
230 __isl_keep isl_mat *div,
231 isl_int c, unsigned pos, __isl_take isl_printer *p, int set, int latex)
233 enum isl_dim_type type;
237 return isl_printer_print_isl_int(p, c);
239 type = pos2type(dim, &pos);
240 print_div_def = type == isl_dim_div && div &&
241 !isl_int_is_zero(div->row[pos][0]);
243 if (isl_int_is_one(c))
245 else if (isl_int_is_negone(c))
246 p = isl_printer_print_str(p, "-");
248 p = isl_printer_print_isl_int(p, c);
249 if (p->output_format == ISL_FORMAT_C || print_div_def)
250 p = isl_printer_print_str(p, "*");
253 p = print_div(dim, div, pos, p);
255 p = print_name(dim, p, type, pos, set, latex);
259 static __isl_give isl_printer *print_affine_of_len(__isl_keep isl_dim *dim,
260 __isl_keep isl_mat *div,
261 __isl_take isl_printer *p, isl_int *c, int len, int set)
266 for (i = 0, first = 1; i < len; ++i) {
268 if (isl_int_is_zero(c[i]))
271 if (isl_int_is_neg(c[i])) {
273 isl_int_neg(c[i], c[i]);
274 p = isl_printer_print_str(p, " - ");
276 p = isl_printer_print_str(p, " + ");
279 p = print_term(dim, div, c[i], i, p, set, 0);
281 isl_int_neg(c[i], c[i]);
284 p = isl_printer_print_str(p, "0");
288 static __isl_give isl_printer *print_affine(__isl_keep isl_basic_map *bmap,
289 __isl_keep isl_dim *dim, __isl_take isl_printer *p, isl_int *c, int set)
291 unsigned len = 1 + isl_basic_map_total_dim(bmap);
292 return print_affine_of_len(dim, NULL, p, c, len, set);
295 static int defining_equality(__isl_keep isl_basic_map *eq,
296 __isl_keep isl_dim *dim, enum isl_dim_type type, int pos)
304 pos += isl_dim_offset(dim, type);
305 total = isl_basic_map_total_dim(eq);
307 for (i = 0; i < eq->n_eq; ++i) {
308 if (isl_seq_last_non_zero(eq->eq[i] + 1, total) != pos)
310 if (isl_int_is_one(eq->eq[i][1 + pos]))
311 isl_seq_neg(eq->eq[i], eq->eq[i], 1 + total);
318 /* offset is the offset of local_dim inside global_type of global_dim.
320 static __isl_give isl_printer *print_nested_var_list(__isl_take isl_printer *p,
321 __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
322 __isl_keep isl_dim *local_dim, enum isl_dim_type local_type,
323 int set, int latex, __isl_keep isl_basic_map *eq, int offset)
327 if (global_dim != local_dim && local_type == isl_dim_out)
328 offset += local_dim->n_in;
330 for (i = 0; i < isl_dim_size(local_dim, local_type); ++i) {
332 p = isl_printer_print_str(p, ", ");
333 j = defining_equality(eq, global_dim, global_type, offset + i);
335 int pos = 1 + isl_dim_offset(global_dim, global_type)
337 p = print_affine_of_len(eq->dim, NULL,
338 p, eq->eq[j], pos, set);
340 p = print_name(global_dim, p, global_type, offset + i,
347 static __isl_give isl_printer *print_var_list(__isl_keep isl_dim *dim,
348 __isl_take isl_printer *p, enum isl_dim_type type,
349 int set, int latex, __isl_keep isl_basic_map *eq)
351 return print_nested_var_list(p, dim, type, dim, type, set, latex, eq, 0);
354 static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p,
355 __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
356 __isl_keep isl_dim *local_dim,
357 int set, int latex, __isl_keep isl_basic_map *eq, int offset);
359 static __isl_give isl_printer *print_nested_tuple(__isl_take isl_printer *p,
360 __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
361 __isl_keep isl_dim *local_dim, enum isl_dim_type local_type,
362 int set, int latex, __isl_keep isl_basic_map *eq, int offset)
364 const char *name = NULL;
365 unsigned n = isl_dim_size(local_dim, local_type);
366 if ((local_type == isl_dim_in || local_type == isl_dim_out)) {
367 name = isl_dim_get_tuple_name(local_dim, local_type);
370 p = isl_printer_print_str(p, "\\mathrm{");
371 p = isl_printer_print_str(p, name);
373 p = isl_printer_print_str(p, "}");
376 if (!latex || n != 1 || name)
377 p = isl_printer_print_str(p, s_open_list[latex]);
378 if ((local_type == isl_dim_in || local_type == isl_dim_out) &&
379 local_dim->nested[local_type - isl_dim_in]) {
380 if (global_dim != local_dim && local_type == isl_dim_out)
381 offset += local_dim->n_in;
382 p = print_nested_map_dim(p, global_dim, global_type,
383 local_dim->nested[local_type - isl_dim_in],
384 set, latex, eq, offset);
386 p = print_nested_var_list(p, global_dim, global_type,
387 local_dim, local_type, set, latex, eq, offset);
388 if (!latex || n != 1 || name)
389 p = isl_printer_print_str(p, s_close_list[latex]);
393 static __isl_give isl_printer *print_tuple(__isl_keep isl_dim *dim,
394 __isl_take isl_printer *p, enum isl_dim_type type,
395 int set, int latex, __isl_keep isl_basic_map *eq)
397 return print_nested_tuple(p, dim, type, dim, type, set, latex, eq, 0);
400 static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p,
401 __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
402 __isl_keep isl_dim *local_dim,
403 int set, int latex, __isl_keep isl_basic_map *eq, int offset)
405 p = print_nested_tuple(p, global_dim, global_type,
406 local_dim, isl_dim_in, set, latex, eq, offset);
407 p = isl_printer_print_str(p, s_to[latex]);
408 p = print_nested_tuple(p, global_dim, global_type,
409 local_dim, isl_dim_out, set, latex, eq, offset);
414 static __isl_give isl_printer *print_dim(__isl_keep isl_dim *dim,
415 __isl_take isl_printer *p, int set, int latex, int rational,
416 __isl_keep isl_basic_map *eq)
418 if (rational && !latex)
419 p = isl_printer_print_str(p, "rat: ");
421 p = print_tuple(dim, p, isl_dim_set, 1, latex, eq);
423 p = print_tuple(dim, p, isl_dim_in, 0, latex, eq);
424 p = isl_printer_print_str(p, s_to[latex]);
425 p = print_tuple(dim, p, isl_dim_out, 0, latex, eq);
431 static __isl_give isl_printer *print_omega_parameters(__isl_keep isl_dim *dim,
432 __isl_take isl_printer *p)
434 if (isl_dim_size(dim, isl_dim_param) == 0)
437 p = isl_printer_start_line(p);
438 p = isl_printer_print_str(p, "symbolic ");
439 p = print_var_list(dim, p, isl_dim_param, 0, 0, NULL);
440 p = isl_printer_print_str(p, ";");
441 p = isl_printer_end_line(p);
445 static __isl_give isl_printer *print_constraint(struct isl_basic_map *bmap,
446 __isl_keep isl_dim *dim, __isl_take isl_printer *p,
447 isl_int *c, int last, const char *op, int first_constraint, int set,
450 if (!first_constraint)
451 p = isl_printer_print_str(p, s_and[latex]);
453 isl_int_abs(c[last], c[last]);
455 p = print_term(dim, NULL, c[last], last, p, set, latex);
457 p = isl_printer_print_str(p, " ");
458 p = isl_printer_print_str(p, op);
459 p = isl_printer_print_str(p, " ");
461 isl_int_set_si(c[last], 0);
462 p = print_affine(bmap, dim, p, c, set);
467 static __isl_give isl_printer *print_constraints(__isl_keep isl_basic_map *bmap,
468 __isl_keep isl_dim *dim, __isl_take isl_printer *p, int set, int latex)
472 unsigned total = isl_basic_map_total_dim(bmap);
474 c = isl_vec_alloc(bmap->ctx, 1 + total);
478 for (i = bmap->n_eq - 1; i >= 0; --i) {
479 int l = isl_seq_last_non_zero(bmap->eq[i], 1 + total);
481 if (i != bmap->n_eq - 1)
482 p = isl_printer_print_str(p, s_and[latex]);
483 p = isl_printer_print_str(p, "0 = 0");
486 if (isl_int_is_neg(bmap->eq[i][l]))
487 isl_seq_cpy(c->el, bmap->eq[i], 1 + total);
489 isl_seq_neg(c->el, bmap->eq[i], 1 + total);
490 p = print_constraint(bmap, dim, p, c->el, l,
491 "=", i == bmap->n_eq - 1, set, latex);
493 for (i = 0; i < bmap->n_ineq; ++i) {
494 int l = isl_seq_last_non_zero(bmap->ineq[i], 1 + total);
499 s = isl_int_sgn(bmap->ineq[i][l]);
501 isl_seq_cpy(c->el, bmap->ineq[i], 1 + total);
503 isl_seq_neg(c->el, bmap->ineq[i], 1 + total);
504 op = s < 0 ? s_le[latex] : s_ge[latex];
505 p = print_constraint(bmap, dim, p, c->el, l,
506 op, !bmap->n_eq && !i, set, latex);
518 static __isl_give isl_printer *print_omega_constraints(
519 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int set)
521 if (bmap->n_eq + bmap->n_ineq == 0)
524 p = isl_printer_print_str(p, ": ");
525 if (bmap->n_div > 0) {
527 p = isl_printer_print_str(p, "exists (");
528 for (i = 0; i < bmap->n_div; ++i) {
530 p = isl_printer_print_str(p, ", ");
531 p = print_name(bmap->dim, p, isl_dim_div, i, 0, 0);
533 p = isl_printer_print_str(p, ": ");
535 p = print_constraints(bmap, bmap->dim, p, set, 0);
537 p = isl_printer_print_str(p, ")");
541 static __isl_give isl_printer *basic_map_print_omega(
542 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
544 p = isl_printer_print_str(p, "{ [");
545 p = print_var_list(bmap->dim, p, isl_dim_in, 0, 0, NULL);
546 p = isl_printer_print_str(p, "] -> [");
547 p = print_var_list(bmap->dim, p, isl_dim_out, 0, 0, NULL);
548 p = isl_printer_print_str(p, "] ");
549 p = print_omega_constraints(bmap, p, 0);
550 p = isl_printer_print_str(p, " }");
554 static __isl_give isl_printer *isl_basic_map_print_omega(
555 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
557 p = print_omega_parameters(bmap->dim, p);
559 p = isl_printer_start_line(p);
560 p = basic_map_print_omega(bmap, p);
561 p = isl_printer_end_line(p);
565 static __isl_give isl_printer *basic_set_print_omega(
566 __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
568 p = isl_printer_print_str(p, "{ [");
569 p = print_var_list(bset->dim, p, isl_dim_set, 1, 0, NULL);
570 p = isl_printer_print_str(p, "] ");
571 p = print_omega_constraints((isl_basic_map *)bset, p, 1);
572 p = isl_printer_print_str(p, " }");
576 static __isl_give isl_printer *isl_basic_set_print_omega(
577 __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
579 p = print_omega_parameters(bset->dim, p);
581 p = isl_printer_start_line(p);
582 p = basic_set_print_omega(bset, p);
583 p = isl_printer_end_line(p);
587 static __isl_give isl_printer *isl_map_print_omega(__isl_keep isl_map *map,
588 __isl_take isl_printer *p)
592 p = print_omega_parameters(map->dim, p);
594 p = isl_printer_start_line(p);
595 for (i = 0; i < map->n; ++i) {
597 p = isl_printer_print_str(p, " union ");
598 p = basic_map_print_omega(map->p[i], p);
600 p = isl_printer_end_line(p);
604 static __isl_give isl_printer *isl_set_print_omega(__isl_keep isl_set *set,
605 __isl_take isl_printer *p)
609 p = print_omega_parameters(set->dim, p);
611 p = isl_printer_start_line(p);
612 for (i = 0; i < set->n; ++i) {
614 p = isl_printer_print_str(p, " union ");
615 p = basic_set_print_omega(set->p[i], p);
617 p = isl_printer_end_line(p);
621 static __isl_give isl_printer *print_disjunct(__isl_keep isl_basic_map *bmap,
622 __isl_keep isl_dim *dim, __isl_take isl_printer *p, int set, int latex)
624 if (bmap->n_div > 0) {
626 p = isl_printer_print_str(p, s_open_exists[latex]);
627 for (i = 0; i < bmap->n_div; ++i) {
629 p = isl_printer_print_str(p, ", ");
630 p = print_name(dim, p, isl_dim_div, i, 0, latex);
631 if (latex || isl_int_is_zero(bmap->div[i][0]))
633 p = isl_printer_print_str(p, " = [(");
634 p = print_affine(bmap, dim, p, bmap->div[i] + 1, set);
635 p = isl_printer_print_str(p, ")/");
636 p = isl_printer_print_isl_int(p, bmap->div[i][0]);
637 p = isl_printer_print_str(p, "]");
639 p = isl_printer_print_str(p, ": ");
642 p = print_constraints(bmap, dim, p, set, latex);
645 p = isl_printer_print_str(p, s_close_exists[latex]);
649 static __isl_give isl_printer *isl_basic_map_print_isl(
650 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p,
653 int rational = ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL);
654 if (isl_basic_map_dim(bmap, isl_dim_param) > 0) {
655 p = print_tuple(bmap->dim, p, isl_dim_param, 0, latex, NULL);
656 p = isl_printer_print_str(p, " -> ");
658 p = isl_printer_print_str(p, "{ ");
659 p = print_dim(bmap->dim, p, set, latex, rational, NULL);
660 p = isl_printer_print_str(p, " : ");
661 p = print_disjunct(bmap, bmap->dim, p, set, latex);
662 p = isl_printer_print_str(p, " }");
666 static __isl_give isl_printer *print_disjuncts(__isl_keep isl_map *map,
667 __isl_take isl_printer *p, int set, int latex)
671 if (isl_map_plain_is_universe(map))
674 p = isl_printer_print_str(p, s_such_that[latex]);
676 p = isl_printer_print_str(p, "1 = 0");
677 for (i = 0; i < map->n; ++i) {
679 p = isl_printer_print_str(p, s_or[latex]);
680 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
681 p = isl_printer_print_str(p, "(");
682 p = print_disjunct(map->p[i], map->dim, p, set, latex);
683 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
684 p = isl_printer_print_str(p, ")");
689 struct isl_aff_split {
694 static void free_split(__isl_take struct isl_aff_split *split, int n)
701 for (i = 0; i < n; ++i) {
702 isl_basic_map_free(split[i].aff);
703 isl_map_free(split[i].map);
709 static __isl_give isl_basic_map *get_aff(__isl_take isl_basic_map *bmap)
712 unsigned nparam, n_in, n_out, total;
714 bmap = isl_basic_map_cow(bmap);
717 if (isl_basic_map_free_inequality(bmap, bmap->n_ineq) < 0)
720 nparam = isl_basic_map_dim(bmap, isl_dim_param);
721 n_in = isl_basic_map_dim(bmap, isl_dim_in);
722 n_out = isl_basic_map_dim(bmap, isl_dim_out);
723 total = isl_basic_map_dim(bmap, isl_dim_all);
724 for (i = bmap->n_eq - 1; i >= 0; --i) {
725 j = isl_seq_last_non_zero(bmap->eq[i] + 1, total);
726 if (j >= nparam && j < nparam + n_in + n_out &&
727 (isl_int_is_one(bmap->eq[i][1 + j]) ||
728 isl_int_is_negone(bmap->eq[i][1 + j])))
730 if (isl_basic_map_drop_equality(bmap, i) < 0)
734 bmap = isl_basic_map_finalize(bmap);
738 isl_basic_map_free(bmap);
742 static int aff_split_cmp(const void *p1, const void *p2)
744 const struct isl_aff_split *s1, *s2;
745 s1 = (const struct isl_aff_split *) p1;
746 s2 = (const struct isl_aff_split *) p2;
748 return isl_basic_map_plain_cmp(s1->aff, s2->aff);
751 static __isl_give isl_basic_map *drop_aff(__isl_take isl_basic_map *bmap,
752 __isl_keep isl_basic_map *aff)
760 total = isl_dim_total(bmap->dim);
762 for (i = bmap->n_eq - 1; i >= 0; --i) {
763 if (isl_seq_first_non_zero(bmap->eq[i] + 1 + total,
766 for (j = 0; j < aff->n_eq; ++j) {
767 if (!isl_seq_eq(bmap->eq[i], aff->eq[j], 1 + total) &&
768 !isl_seq_is_neg(bmap->eq[i], aff->eq[j], 1 + total))
770 if (isl_basic_map_drop_equality(bmap, i) < 0)
778 isl_basic_map_free(bmap);
782 static __isl_give struct isl_aff_split *split_aff(__isl_keep isl_map *map)
785 struct isl_aff_split *split;
788 ctx = isl_map_get_ctx(map);
789 split = isl_calloc_array(ctx, struct isl_aff_split, map->n);
793 for (i = 0; i < map->n; ++i) {
795 split[i].aff = get_aff(isl_basic_map_copy(map->p[i]));
796 bmap = isl_basic_map_copy(map->p[i]);
797 bmap = isl_basic_map_cow(bmap);
798 bmap = drop_aff(bmap, split[i].aff);
799 split[i].map = isl_map_from_basic_map(bmap);
800 if (!split[i].aff || !split[i].map)
804 qsort(split, map->n, sizeof(struct isl_aff_split), &aff_split_cmp);
807 for (i = n - 1; i >= 1; --i) {
808 if (!isl_basic_map_plain_is_equal(split[i - 1].aff,
811 isl_basic_map_free(split[i].aff);
812 split[i - 1].map = isl_map_union(split[i - 1].map,
815 split[i] = split[n - 1];
816 split[n - 1].aff = NULL;
817 split[n - 1].map = NULL;
823 free_split(split, map->n);
827 static __isl_give isl_printer *print_split_map(__isl_take isl_printer *p,
828 struct isl_aff_split *split, int n, int set)
833 for (i = 0; i < n; ++i) {
838 dim = split[i].map->dim;
839 rational = split[i].map->n > 0 &&
840 ISL_F_ISSET(split[i].map->p[0], ISL_BASIC_MAP_RATIONAL);
842 p = isl_printer_print_str(p, "; ");
843 p = print_dim(dim, p, set, 0, rational, split[i].aff);
844 p = print_disjuncts(split[i].map, p, set, 0);
850 static __isl_give isl_printer *isl_map_print_isl_body(__isl_keep isl_map *map,
851 __isl_take isl_printer *p, int set)
853 struct isl_aff_split *split = NULL;
857 split = split_aff(map);
859 p = print_split_map(p, split, map->n, set);
861 rational = map->n > 0 &&
862 ISL_F_ISSET(map->p[0], ISL_BASIC_MAP_RATIONAL);
863 p = print_dim(map->dim, p, set, 0, rational, NULL);
864 p = print_disjuncts(map, p, set, 0);
866 free_split(split, map->n);
870 static __isl_give isl_printer *isl_map_print_isl(__isl_keep isl_map *map,
871 __isl_take isl_printer *p, int set)
873 if (isl_map_dim(map, isl_dim_param) > 0) {
874 p = print_tuple(map->dim, p, isl_dim_param, set, 0, NULL);
875 p = isl_printer_print_str(p, s_to[0]);
877 p = isl_printer_print_str(p, s_open_set[0]);
878 p = isl_map_print_isl_body(map, p, set);
879 p = isl_printer_print_str(p, s_close_set[0]);
883 static __isl_give isl_printer *print_latex_map(__isl_keep isl_map *map,
884 __isl_take isl_printer *p, __isl_keep isl_basic_map *aff, int set)
886 if (isl_map_dim(map, isl_dim_param) > 0) {
887 p = print_tuple(map->dim, p, isl_dim_param, set, 1, NULL);
888 p = isl_printer_print_str(p, s_to[1]);
890 p = isl_printer_print_str(p, s_open_set[1]);
891 p = print_dim(map->dim, p, set, 1, 0, aff);
892 p = print_disjuncts(map, p, set, 1);
893 p = isl_printer_print_str(p, s_close_set[1]);
898 static __isl_give isl_printer *isl_map_print_latex(__isl_keep isl_map *map,
899 __isl_take isl_printer *p, int set)
902 struct isl_aff_split *split = NULL;
905 split = split_aff(map);
908 return print_latex_map(map, p, NULL, set);
910 for (i = 0; i < map->n; ++i) {
914 p = isl_printer_print_str(p, " \\cup ");
915 p = print_latex_map(split[i].map, p, split[i].aff, set);
918 free_split(split, map->n);
922 __isl_give isl_printer *isl_printer_print_basic_map(__isl_take isl_printer *p,
923 __isl_keep isl_basic_map *bmap)
927 if (p->output_format == ISL_FORMAT_ISL)
928 return isl_basic_map_print_isl(bmap, p, 0, 0);
929 else if (p->output_format == ISL_FORMAT_OMEGA)
930 return isl_basic_map_print_omega(bmap, p);
931 isl_assert(bmap->ctx, 0, goto error);
937 void isl_basic_map_print(__isl_keep isl_basic_map *bmap, FILE *out, int indent,
938 const char *prefix, const char *suffix, unsigned output_format)
940 isl_printer *printer;
945 printer = isl_printer_to_file(bmap->ctx, out);
946 printer = isl_printer_set_indent(printer, indent);
947 printer = isl_printer_set_prefix(printer, prefix);
948 printer = isl_printer_set_suffix(printer, suffix);
949 printer = isl_printer_set_output_format(printer, output_format);
950 isl_printer_print_basic_map(printer, bmap);
952 isl_printer_free(printer);
955 __isl_give isl_printer *isl_printer_print_basic_set(__isl_take isl_printer *p,
956 __isl_keep isl_basic_set *bset)
961 if (p->output_format == ISL_FORMAT_ISL)
962 return isl_basic_map_print_isl(bset, p, 1, 0);
963 else if (p->output_format == ISL_FORMAT_POLYLIB)
964 return isl_basic_set_print_polylib(bset, p, 0);
965 else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
966 return isl_basic_set_print_polylib(bset, p, 1);
967 else if (p->output_format == ISL_FORMAT_POLYLIB_CONSTRAINTS)
968 return bset_print_constraints_polylib(bset, p);
969 else if (p->output_format == ISL_FORMAT_OMEGA)
970 return isl_basic_set_print_omega(bset, p);
971 isl_assert(p->ctx, 0, goto error);
977 void isl_basic_set_print(struct isl_basic_set *bset, FILE *out, int indent,
978 const char *prefix, const char *suffix, unsigned output_format)
980 isl_printer *printer;
985 printer = isl_printer_to_file(bset->ctx, out);
986 printer = isl_printer_set_indent(printer, indent);
987 printer = isl_printer_set_prefix(printer, prefix);
988 printer = isl_printer_set_suffix(printer, suffix);
989 printer = isl_printer_set_output_format(printer, output_format);
990 isl_printer_print_basic_set(printer, bset);
992 isl_printer_free(printer);
995 __isl_give isl_printer *isl_printer_print_set(__isl_take isl_printer *p,
996 __isl_keep isl_set *set)
1000 if (p->output_format == ISL_FORMAT_ISL)
1001 return isl_map_print_isl((isl_map *)set, p, 1);
1002 else if (p->output_format == ISL_FORMAT_POLYLIB)
1003 return isl_set_print_polylib(set, p, 0);
1004 else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
1005 return isl_set_print_polylib(set, p, 1);
1006 else if (p->output_format == ISL_FORMAT_OMEGA)
1007 return isl_set_print_omega(set, p);
1008 else if (p->output_format == ISL_FORMAT_LATEX)
1009 return isl_map_print_latex((isl_map *)set, p, 1);
1010 isl_assert(set->ctx, 0, goto error);
1012 isl_printer_free(p);
1016 void isl_set_print(struct isl_set *set, FILE *out, int indent,
1017 unsigned output_format)
1019 isl_printer *printer;
1024 printer = isl_printer_to_file(set->ctx, out);
1025 printer = isl_printer_set_indent(printer, indent);
1026 printer = isl_printer_set_output_format(printer, output_format);
1027 printer = isl_printer_print_set(printer, set);
1029 isl_printer_free(printer);
1032 __isl_give isl_printer *isl_printer_print_map(__isl_take isl_printer *p,
1033 __isl_keep isl_map *map)
1038 if (p->output_format == ISL_FORMAT_ISL)
1039 return isl_map_print_isl(map, p, 0);
1040 else if (p->output_format == ISL_FORMAT_POLYLIB)
1041 return isl_map_print_polylib(map, p, 0);
1042 else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
1043 return isl_map_print_polylib(map, p, 1);
1044 else if (p->output_format == ISL_FORMAT_OMEGA)
1045 return isl_map_print_omega(map, p);
1046 else if (p->output_format == ISL_FORMAT_LATEX)
1047 return isl_map_print_latex(map, p, 0);
1048 isl_assert(map->ctx, 0, goto error);
1050 isl_printer_free(p);
1054 struct isl_union_print_data {
1060 static int print_map_body(__isl_take isl_map *map, void *user)
1062 struct isl_union_print_data *data;
1063 data = (struct isl_union_print_data *)user;
1066 data->p = isl_printer_print_str(data->p, "; ");
1069 data->p = isl_map_print_isl_body(map, data->p, data->set);
1075 static __isl_give isl_printer *isl_union_map_print_isl(
1076 __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
1078 struct isl_union_print_data data = { p, set, 1 };
1080 dim = isl_union_map_get_dim(umap);
1081 if (isl_dim_size(dim, isl_dim_param) > 0) {
1082 p = print_tuple(dim, p, isl_dim_param, set, 0, NULL);
1083 p = isl_printer_print_str(p, s_to[0]);
1086 p = isl_printer_print_str(p, s_open_set[0]);
1087 isl_union_map_foreach_map(umap, &print_map_body, &data);
1089 p = isl_printer_print_str(p, s_close_set[0]);
1093 static int print_latex_map_body(__isl_take isl_map *map, void *user)
1095 struct isl_union_print_data *data;
1096 data = (struct isl_union_print_data *)user;
1099 data->p = isl_printer_print_str(data->p, " \\cup ");
1102 data->p = isl_map_print_latex(map, data->p, data->set);
1108 static __isl_give isl_printer *isl_union_map_print_latex(
1109 __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
1111 struct isl_union_print_data data = { p, set, 1 };
1112 isl_union_map_foreach_map(umap, &print_latex_map_body, &data);
1117 __isl_give isl_printer *isl_printer_print_union_map(__isl_take isl_printer *p,
1118 __isl_keep isl_union_map *umap)
1123 if (p->output_format == ISL_FORMAT_ISL)
1124 return isl_union_map_print_isl(umap, p, 0);
1125 if (p->output_format == ISL_FORMAT_LATEX)
1126 return isl_union_map_print_latex(umap, p, 0);
1128 isl_die(p->ctx, isl_error_invalid,
1129 "invalid output format for isl_union_map", goto error);
1131 isl_printer_free(p);
1135 __isl_give isl_printer *isl_printer_print_union_set(__isl_take isl_printer *p,
1136 __isl_keep isl_union_set *uset)
1141 if (p->output_format == ISL_FORMAT_ISL)
1142 return isl_union_map_print_isl((isl_union_map *)uset, p, 1);
1143 if (p->output_format == ISL_FORMAT_LATEX)
1144 return isl_union_map_print_latex((isl_union_map *)uset, p, 1);
1146 isl_die(p->ctx, isl_error_invalid,
1147 "invalid output format for isl_union_set", goto error);
1149 isl_printer_free(p);
1153 void isl_map_print(__isl_keep isl_map *map, FILE *out, int indent,
1154 unsigned output_format)
1156 isl_printer *printer;
1161 printer = isl_printer_to_file(map->ctx, out);
1162 printer = isl_printer_set_indent(printer, indent);
1163 printer = isl_printer_set_output_format(printer, output_format);
1164 printer = isl_printer_print_map(printer, map);
1166 isl_printer_free(printer);
1169 static int upoly_rec_n_non_zero(__isl_keep struct isl_upoly_rec *rec)
1174 for (i = 0, n = 0; i < rec->n; ++i)
1175 if (!isl_upoly_is_zero(rec->p[i]))
1181 static __isl_give isl_printer *print_div(__isl_keep isl_dim *dim,
1182 __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p)
1184 int c = p->output_format == ISL_FORMAT_C;
1185 p = isl_printer_print_str(p, c ? "floord(" : "[(");
1186 p = print_affine_of_len(dim, div, p,
1187 div->row[pos] + 1, div->n_col - 1, 1);
1188 p = isl_printer_print_str(p, c ? ", " : ")/");
1189 p = isl_printer_print_isl_int(p, div->row[pos][0]);
1190 p = isl_printer_print_str(p, c ? ")" : "]");
1194 static __isl_give isl_printer *upoly_print_cst(__isl_keep struct isl_upoly *up,
1195 __isl_take isl_printer *p, int first)
1197 struct isl_upoly_cst *cst;
1200 cst = isl_upoly_as_cst(up);
1203 neg = !first && isl_int_is_neg(cst->n);
1205 p = isl_printer_print_str(p, neg ? " - " : " + ");
1207 isl_int_neg(cst->n, cst->n);
1208 if (isl_int_is_zero(cst->d)) {
1209 int sgn = isl_int_sgn(cst->n);
1210 p = isl_printer_print_str(p, sgn < 0 ? "-infty" :
1211 sgn == 0 ? "NaN" : "infty");
1213 p = isl_printer_print_isl_int(p, cst->n);
1215 isl_int_neg(cst->n, cst->n);
1216 if (!isl_int_is_zero(cst->d) && !isl_int_is_one(cst->d)) {
1217 p = isl_printer_print_str(p, "/");
1218 p = isl_printer_print_isl_int(p, cst->d);
1222 isl_printer_free(p);
1226 static __isl_give isl_printer *print_base(__isl_take isl_printer *p,
1227 __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var)
1231 total = isl_dim_total(dim);
1233 p = print_term(dim, NULL, dim->ctx->one, 1 + var, p, 1, 0);
1235 p = print_div(dim, div, var - total, p);
1239 static __isl_give isl_printer *print_pow(__isl_take isl_printer *p,
1240 __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var, int exp)
1242 p = print_base(p, dim, div, var);
1245 if (p->output_format == ISL_FORMAT_C) {
1247 for (i = 1; i < exp; ++i) {
1248 p = isl_printer_print_str(p, "*");
1249 p = print_base(p, dim, div, var);
1252 p = isl_printer_print_str(p, "^");
1253 p = isl_printer_print_int(p, exp);
1258 static __isl_give isl_printer *upoly_print(__isl_keep struct isl_upoly *up,
1259 __isl_keep isl_dim *dim, __isl_keep isl_mat *div,
1260 __isl_take isl_printer *p, int outer)
1262 int i, n, first, print_parens;
1263 struct isl_upoly_rec *rec;
1265 if (!p || !up || !dim || !div)
1268 if (isl_upoly_is_cst(up))
1269 return upoly_print_cst(up, p, 1);
1271 rec = isl_upoly_as_rec(up);
1274 n = upoly_rec_n_non_zero(rec);
1275 print_parens = n > 1 || (outer && rec->up.var >= isl_dim_total(dim));
1277 p = isl_printer_print_str(p, "(");
1278 for (i = 0, first = 1; i < rec->n; ++i) {
1279 if (isl_upoly_is_zero(rec->p[i]))
1281 if (isl_upoly_is_negone(rec->p[i])) {
1283 p = isl_printer_print_str(p, "-1");
1285 p = isl_printer_print_str(p, "-");
1287 p = isl_printer_print_str(p, " - ");
1288 } else if (isl_upoly_is_cst(rec->p[i]) &&
1289 !isl_upoly_is_one(rec->p[i]))
1290 p = upoly_print_cst(rec->p[i], p, first);
1293 p = isl_printer_print_str(p, " + ");
1294 if (i == 0 || !isl_upoly_is_one(rec->p[i]))
1295 p = upoly_print(rec->p[i], dim, div, p, 0);
1300 if (!isl_upoly_is_one(rec->p[i]) &&
1301 !isl_upoly_is_negone(rec->p[i]))
1302 p = isl_printer_print_str(p, " * ");
1303 p = print_pow(p, dim, div, rec->up.var, i);
1306 p = isl_printer_print_str(p, ")");
1309 isl_printer_free(p);
1313 static __isl_give isl_printer *print_qpolynomial(__isl_take isl_printer *p,
1314 __isl_keep isl_qpolynomial *qp)
1318 p = upoly_print(qp->upoly, qp->dim, qp->div, p, 1);
1321 isl_printer_free(p);
1325 static __isl_give isl_printer *print_qpolynomial_isl(__isl_take isl_printer *p,
1326 __isl_keep isl_qpolynomial *qp)
1331 if (isl_dim_size(qp->dim, isl_dim_param) > 0) {
1332 p = print_tuple(qp->dim, p, isl_dim_param, 0, 0, NULL);
1333 p = isl_printer_print_str(p, " -> ");
1335 p = isl_printer_print_str(p, "{ ");
1336 if (isl_dim_size(qp->dim, isl_dim_set) > 0 ||
1337 isl_dim_is_named_or_nested(qp->dim, isl_dim_set)) {
1338 p = print_dim(qp->dim, p, 1, 0, 0, NULL);
1339 p = isl_printer_print_str(p, " -> ");
1341 p = print_qpolynomial(p, qp);
1342 p = isl_printer_print_str(p, " }");
1345 isl_printer_free(p);
1349 static __isl_give isl_printer *print_qpolynomial_c(__isl_take isl_printer *p,
1350 __isl_keep isl_dim *dim, __isl_keep isl_qpolynomial *qp)
1355 isl_qpolynomial_get_den(qp, &den);
1356 if (!isl_int_is_one(den)) {
1358 p = isl_printer_print_str(p, "(");
1359 qp = isl_qpolynomial_copy(qp);
1360 f = isl_qpolynomial_rat_cst(isl_dim_copy(qp->dim),
1361 den, qp->dim->ctx->one);
1362 qp = isl_qpolynomial_mul(qp, f);
1365 p = upoly_print(qp->upoly, dim, qp->div, p, 0);
1366 if (!isl_int_is_one(den)) {
1367 p = isl_printer_print_str(p, ")/");
1368 p = isl_printer_print_isl_int(p, den);
1369 isl_qpolynomial_free(qp);
1375 __isl_give isl_printer *isl_printer_print_qpolynomial(
1376 __isl_take isl_printer *p, __isl_keep isl_qpolynomial *qp)
1381 if (p->output_format == ISL_FORMAT_ISL)
1382 return print_qpolynomial_isl(p, qp);
1383 else if (p->output_format == ISL_FORMAT_C)
1384 return print_qpolynomial_c(p, qp->dim, qp);
1386 isl_die(qp->dim->ctx, isl_error_unsupported,
1387 "output format not supported for isl_qpolynomials",
1390 isl_printer_free(p);
1394 void isl_qpolynomial_print(__isl_keep isl_qpolynomial *qp, FILE *out,
1395 unsigned output_format)
1402 isl_assert(qp->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1403 p = isl_printer_to_file(qp->dim->ctx, out);
1404 p = isl_printer_print_qpolynomial(p, qp);
1405 isl_printer_free(p);
1408 static __isl_give isl_printer *qpolynomial_fold_print(
1409 __isl_keep isl_qpolynomial_fold *fold, __isl_take isl_printer *p)
1413 if (fold->type == isl_fold_min)
1414 p = isl_printer_print_str(p, "min");
1415 else if (fold->type == isl_fold_max)
1416 p = isl_printer_print_str(p, "max");
1417 p = isl_printer_print_str(p, "(");
1418 for (i = 0; i < fold->n; ++i) {
1420 p = isl_printer_print_str(p, ", ");
1421 p = print_qpolynomial(p, fold->qp[i]);
1423 p = isl_printer_print_str(p, ")");
1427 void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold *fold,
1428 FILE *out, unsigned output_format)
1435 isl_assert(fold->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1437 p = isl_printer_to_file(fold->dim->ctx, out);
1438 p = isl_printer_print_qpolynomial_fold(p, fold);
1440 isl_printer_free(p);
1443 static __isl_give isl_printer *isl_pwqp_print_isl_body(
1444 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1448 for (i = 0; i < pwqp->n; ++i) {
1450 p = isl_printer_print_str(p, "; ");
1451 if (isl_dim_size(pwqp->dim, isl_dim_set) > 0 ||
1452 isl_dim_is_named_or_nested(pwqp->dim, isl_dim_set)) {
1453 p = print_dim(pwqp->p[i].set->dim, p, 1, 0, 0, NULL);
1454 p = isl_printer_print_str(p, " -> ");
1456 p = print_qpolynomial(p, pwqp->p[i].qp);
1457 p = print_disjuncts((isl_map *)pwqp->p[i].set, p, 1, 0);
1463 static __isl_give isl_printer *print_pw_qpolynomial_isl(
1464 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1469 if (isl_dim_size(pwqp->dim, isl_dim_param) > 0) {
1470 p = print_tuple(pwqp->dim, p, isl_dim_param, 0, 0, NULL);
1471 p = isl_printer_print_str(p, " -> ");
1473 p = isl_printer_print_str(p, "{ ");
1475 if (isl_dim_size(pwqp->dim, isl_dim_set) > 0 ||
1476 isl_dim_is_named_or_nested(pwqp->dim, isl_dim_set)) {
1477 p = print_dim(pwqp->dim, p, 1, 0, 0, NULL);
1478 p = isl_printer_print_str(p, " -> ");
1480 p = isl_printer_print_str(p, "0");
1482 p = isl_pwqp_print_isl_body(p, pwqp);
1483 p = isl_printer_print_str(p, " }");
1486 isl_printer_free(p);
1490 void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial *pwqp, FILE *out,
1491 unsigned output_format)
1498 p = isl_printer_to_file(pwqp->dim->ctx, out);
1499 p = isl_printer_set_output_format(p, output_format);
1500 p = isl_printer_print_pw_qpolynomial(p, pwqp);
1502 isl_printer_free(p);
1505 static __isl_give isl_printer *isl_pwf_print_isl_body(
1506 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1510 for (i = 0; i < pwf->n; ++i) {
1512 p = isl_printer_print_str(p, "; ");
1513 if (isl_dim_size(pwf->dim, isl_dim_set) > 0 ||
1514 isl_dim_is_named_or_nested(pwf->dim, isl_dim_set)) {
1515 p = print_dim(pwf->p[i].set->dim, p, 1, 0, 0, NULL);
1516 p = isl_printer_print_str(p, " -> ");
1518 p = qpolynomial_fold_print(pwf->p[i].fold, p);
1519 p = print_disjuncts((isl_map *)pwf->p[i].set, p, 1, 0);
1525 static __isl_give isl_printer *print_pw_qpolynomial_fold_isl(
1526 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1528 if (isl_dim_size(pwf->dim, isl_dim_param) > 0) {
1529 p = print_tuple(pwf->dim, p, isl_dim_param, 0, 0, NULL);
1530 p = isl_printer_print_str(p, " -> ");
1532 p = isl_printer_print_str(p, "{ ");
1534 if (isl_dim_size(pwf->dim, isl_dim_set) > 0 ||
1535 isl_dim_is_named_or_nested(pwf->dim, isl_dim_set)) {
1536 p = print_dim(pwf->dim, p, 1, 0, 0, NULL);
1537 p = isl_printer_print_str(p, " -> ");
1539 p = isl_printer_print_str(p, "0");
1541 p = isl_pwf_print_isl_body(p, pwf);
1542 p = isl_printer_print_str(p, " }");
1546 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1547 __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset, isl_int *c);
1549 static __isl_give isl_printer *print_name_c(__isl_take isl_printer *p,
1550 __isl_keep isl_dim *dim,
1551 __isl_keep isl_basic_set *bset, enum isl_dim_type type, unsigned pos)
1553 if (type == isl_dim_div) {
1554 p = isl_printer_print_str(p, "floord(");
1555 p = print_affine_c(p, dim, bset, bset->div[pos] + 1);
1556 p = isl_printer_print_str(p, ", ");
1557 p = isl_printer_print_isl_int(p, bset->div[pos][0]);
1558 p = isl_printer_print_str(p, ")");
1562 name = isl_dim_get_name(dim, type, pos);
1565 p = isl_printer_print_str(p, name);
1570 static __isl_give isl_printer *print_term_c(__isl_take isl_printer *p,
1571 __isl_keep isl_dim *dim,
1572 __isl_keep isl_basic_set *bset, isl_int c, unsigned pos)
1574 enum isl_dim_type type;
1577 return isl_printer_print_isl_int(p, c);
1579 if (isl_int_is_one(c))
1581 else if (isl_int_is_negone(c))
1582 p = isl_printer_print_str(p, "-");
1584 p = isl_printer_print_isl_int(p, c);
1585 p = isl_printer_print_str(p, "*");
1587 type = pos2type(dim, &pos);
1588 p = print_name_c(p, dim, bset, type, pos);
1592 static __isl_give isl_printer *print_partial_affine_c(__isl_take isl_printer *p,
1593 __isl_keep isl_dim *dim,
1594 __isl_keep isl_basic_set *bset, isl_int *c, unsigned len)
1599 for (i = 0, first = 1; i < len; ++i) {
1601 if (isl_int_is_zero(c[i]))
1604 if (isl_int_is_neg(c[i])) {
1606 isl_int_neg(c[i], c[i]);
1607 p = isl_printer_print_str(p, " - ");
1609 p = isl_printer_print_str(p, " + ");
1612 p = print_term_c(p, dim, bset, c[i], i);
1614 isl_int_neg(c[i], c[i]);
1617 p = isl_printer_print_str(p, "0");
1621 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1622 __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset, isl_int *c)
1624 unsigned len = 1 + isl_basic_set_total_dim(bset);
1625 return print_partial_affine_c(p, dim, bset, c, len);
1628 static __isl_give isl_printer *print_constraint_c(__isl_take isl_printer *p,
1629 __isl_keep isl_dim *dim,
1630 __isl_keep isl_basic_set *bset, isl_int *c, const char *op, int first)
1633 p = isl_printer_print_str(p, " && ");
1635 p = print_affine_c(p, dim, bset, c);
1636 p = isl_printer_print_str(p, " ");
1637 p = isl_printer_print_str(p, op);
1638 p = isl_printer_print_str(p, " 0");
1642 static __isl_give isl_printer *print_basic_set_c(__isl_take isl_printer *p,
1643 __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset)
1646 unsigned n_div = isl_basic_set_dim(bset, isl_dim_div);
1647 unsigned total = isl_basic_set_total_dim(bset) - n_div;
1649 for (i = 0; i < bset->n_eq; ++i) {
1650 j = isl_seq_last_non_zero(bset->eq[i] + 1 + total, n_div);
1652 p = print_constraint_c(p, dim, bset,
1653 bset->eq[i], "==", !i);
1656 p = isl_printer_print_str(p, " && ");
1657 p = isl_printer_print_str(p, "(");
1658 p = print_partial_affine_c(p, dim, bset, bset->eq[i],
1660 p = isl_printer_print_str(p, ") % ");
1661 p = isl_printer_print_isl_int(p,
1662 bset->eq[i][1 + total + j]);
1663 p = isl_printer_print_str(p, " == 0");
1666 for (i = 0; i < bset->n_ineq; ++i)
1667 p = print_constraint_c(p, dim, bset, bset->ineq[i], ">=",
1672 static __isl_give isl_printer *print_set_c(__isl_take isl_printer *p,
1673 __isl_keep isl_dim *dim, __isl_keep isl_set *set)
1678 p = isl_printer_print_str(p, "0");
1680 for (i = 0; i < set->n; ++i) {
1682 p = isl_printer_print_str(p, " || ");
1684 p = isl_printer_print_str(p, "(");
1685 p = print_basic_set_c(p, dim, set->p[i]);
1687 p = isl_printer_print_str(p, ")");
1692 static __isl_give isl_printer *print_pw_qpolynomial_c(
1693 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1697 if (pwqp->n == 1 && isl_set_plain_is_universe(pwqp->p[0].set))
1698 return print_qpolynomial_c(p, pwqp->dim, pwqp->p[0].qp);
1700 for (i = 0; i < pwqp->n; ++i) {
1701 p = isl_printer_print_str(p, "(");
1702 p = print_set_c(p, pwqp->dim, pwqp->p[i].set);
1703 p = isl_printer_print_str(p, ") ? (");
1704 p = print_qpolynomial_c(p, pwqp->dim, pwqp->p[i].qp);
1705 p = isl_printer_print_str(p, ") : ");
1708 p = isl_printer_print_str(p, "0");
1712 __isl_give isl_printer *isl_printer_print_pw_qpolynomial(
1713 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1718 if (p->output_format == ISL_FORMAT_ISL)
1719 return print_pw_qpolynomial_isl(p, pwqp);
1720 else if (p->output_format == ISL_FORMAT_C)
1721 return print_pw_qpolynomial_c(p, pwqp);
1722 isl_assert(p->ctx, 0, goto error);
1724 isl_printer_free(p);
1728 static int print_pwqp_body(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1730 struct isl_union_print_data *data;
1731 data = (struct isl_union_print_data *)user;
1734 data->p = isl_printer_print_str(data->p, "; ");
1737 data->p = isl_pwqp_print_isl_body(data->p, pwqp);
1738 isl_pw_qpolynomial_free(pwqp);
1743 static __isl_give isl_printer *print_union_pw_qpolynomial_isl(
1744 __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
1746 struct isl_union_print_data data = { p, 1, 1 };
1748 dim = isl_union_pw_qpolynomial_get_dim(upwqp);
1749 if (isl_dim_size(dim, isl_dim_param) > 0) {
1750 p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
1751 p = isl_printer_print_str(p, " -> ");
1754 p = isl_printer_print_str(p, "{ ");
1755 isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &print_pwqp_body,
1758 p = isl_printer_print_str(p, " }");
1762 __isl_give isl_printer *isl_printer_print_union_pw_qpolynomial(
1763 __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
1768 if (p->output_format == ISL_FORMAT_ISL)
1769 return print_union_pw_qpolynomial_isl(p, upwqp);
1770 isl_die(p->ctx, isl_error_invalid,
1771 "invalid output format for isl_union_pw_qpolynomial",
1774 isl_printer_free(p);
1778 static __isl_give isl_printer *print_qpolynomial_fold_c(
1779 __isl_take isl_printer *p, __isl_keep isl_dim *dim,
1780 __isl_keep isl_qpolynomial_fold *fold)
1784 for (i = 0; i < fold->n - 1; ++i)
1785 if (fold->type == isl_fold_min)
1786 p = isl_printer_print_str(p, "min(");
1787 else if (fold->type == isl_fold_max)
1788 p = isl_printer_print_str(p, "max(");
1790 for (i = 0; i < fold->n; ++i) {
1792 p = isl_printer_print_str(p, ", ");
1793 p = print_qpolynomial_c(p, dim, fold->qp[i]);
1795 p = isl_printer_print_str(p, ")");
1800 __isl_give isl_printer *isl_printer_print_qpolynomial_fold(
1801 __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
1805 if (p->output_format == ISL_FORMAT_ISL)
1806 return qpolynomial_fold_print(fold, p);
1807 else if (p->output_format == ISL_FORMAT_C)
1808 return print_qpolynomial_fold_c(p, fold->dim, fold);
1809 isl_die(p->ctx, isl_error_unsupported, "unsupported output format",
1812 isl_printer_free(p);
1816 static __isl_give isl_printer *print_pw_qpolynomial_fold_c(
1817 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1821 if (pwf->n == 1 && isl_set_plain_is_universe(pwf->p[0].set))
1822 return print_qpolynomial_fold_c(p, pwf->dim, pwf->p[0].fold);
1824 for (i = 0; i < pwf->n; ++i) {
1825 p = isl_printer_print_str(p, "(");
1826 p = print_set_c(p, pwf->dim, pwf->p[i].set);
1827 p = isl_printer_print_str(p, ") ? (");
1828 p = print_qpolynomial_fold_c(p, pwf->dim, pwf->p[i].fold);
1829 p = isl_printer_print_str(p, ") : ");
1832 p = isl_printer_print_str(p, "0");
1836 __isl_give isl_printer *isl_printer_print_pw_qpolynomial_fold(
1837 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1842 if (p->output_format == ISL_FORMAT_ISL)
1843 return print_pw_qpolynomial_fold_isl(p, pwf);
1844 else if (p->output_format == ISL_FORMAT_C)
1845 return print_pw_qpolynomial_fold_c(p, pwf);
1846 isl_assert(p->ctx, 0, goto error);
1848 isl_printer_free(p);
1852 void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold *pwf,
1853 FILE *out, unsigned output_format)
1860 p = isl_printer_to_file(pwf->dim->ctx, out);
1861 p = isl_printer_set_output_format(p, output_format);
1862 p = isl_printer_print_pw_qpolynomial_fold(p, pwf);
1864 isl_printer_free(p);
1867 static int print_pwf_body(__isl_take isl_pw_qpolynomial_fold *pwf, void *user)
1869 struct isl_union_print_data *data;
1870 data = (struct isl_union_print_data *)user;
1873 data->p = isl_printer_print_str(data->p, "; ");
1876 data->p = isl_pwf_print_isl_body(data->p, pwf);
1877 isl_pw_qpolynomial_fold_free(pwf);
1882 static __isl_give isl_printer *print_union_pw_qpolynomial_fold_isl(
1883 __isl_take isl_printer *p,
1884 __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1886 struct isl_union_print_data data = { p, 1, 1 };
1888 dim = isl_union_pw_qpolynomial_fold_get_dim(upwf);
1889 if (isl_dim_size(dim, isl_dim_param) > 0) {
1890 p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
1891 p = isl_printer_print_str(p, " -> ");
1894 p = isl_printer_print_str(p, "{ ");
1895 isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(upwf,
1896 &print_pwf_body, &data);
1898 p = isl_printer_print_str(p, " }");
1902 __isl_give isl_printer *isl_printer_print_union_pw_qpolynomial_fold(
1903 __isl_take isl_printer *p,
1904 __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1909 if (p->output_format == ISL_FORMAT_ISL)
1910 return print_union_pw_qpolynomial_fold_isl(p, upwf);
1911 isl_die(p->ctx, isl_error_invalid,
1912 "invalid output format for isl_union_pw_qpolynomial_fold",
1915 isl_printer_free(p);
1919 __isl_give isl_printer *isl_printer_print_constraint(__isl_take isl_printer *p,
1920 __isl_keep isl_constraint *c)
1922 isl_basic_map *bmap;
1927 bmap = isl_basic_map_from_constraint(isl_constraint_copy(c));
1928 p = isl_printer_print_basic_map(p, bmap);
1929 isl_basic_map_free(bmap);
1932 isl_printer_free(p);
1936 __isl_give isl_printer *isl_printer_print_dim(__isl_take isl_printer *p,
1937 __isl_keep isl_dim *dim)
1942 if (isl_dim_size(dim, isl_dim_param) > 0) {
1943 p = print_tuple(dim, p, isl_dim_param, 0, 0, NULL);
1944 p = isl_printer_print_str(p, " -> ");
1947 p = isl_printer_print_str(p, "{ ");
1948 p = print_tuple(dim, p, isl_dim_in, 0, 0, NULL);
1949 p = isl_printer_print_str(p, " -> ");
1950 p = print_tuple(dim, p, isl_dim_out, 0, 0, NULL);
1951 p = isl_printer_print_str(p, " }");
1955 isl_printer_free(p);
1959 __isl_give isl_printer *isl_printer_print_local_space(__isl_take isl_printer *p,
1960 __isl_keep isl_local_space *ls)
1968 total = isl_local_space_dim(ls, isl_dim_all);
1969 if (isl_local_space_dim(ls, isl_dim_param) > 0) {
1970 p = print_tuple(ls->dim, p, isl_dim_param, 0, 0, NULL);
1971 p = isl_printer_print_str(p, " -> ");
1973 p = isl_printer_print_str(p, "{ ");
1974 p = print_tuple(ls->dim, p, isl_dim_in, 0, 0, NULL);
1975 p = isl_printer_print_str(p, " -> ");
1976 p = print_tuple(ls->dim, p, isl_dim_out, 0, 0, NULL);
1977 n_div = isl_local_space_dim(ls, isl_dim_div);
1980 p = isl_printer_print_str(p, " : ");
1981 p = isl_printer_print_str(p, s_open_exists[0]);
1982 for (i = 0; i < n_div; ++i) {
1984 p = isl_printer_print_str(p, ", ");
1985 p = print_name(ls->dim, p, isl_dim_div, i, 0, 0);
1986 if (isl_int_is_zero(ls->div->row[i][0]))
1988 p = isl_printer_print_str(p, " = [(");
1989 p = print_affine_of_len(ls->dim, ls->div, p,
1990 ls->div->row[i] + 1, 1 + total, 0);
1991 p = isl_printer_print_str(p, ")/");
1992 p = isl_printer_print_isl_int(p, ls->div->row[i][0]);
1993 p = isl_printer_print_str(p, "]");
1996 p = isl_printer_print_str(p, " }");
1999 isl_printer_free(p);
2003 static __isl_give isl_printer *print_aff(__isl_take isl_printer *p,
2004 __isl_keep isl_aff *aff)
2008 total = isl_local_space_dim(aff->ls, isl_dim_all);
2009 p = print_tuple(aff->ls->dim, p, isl_dim_set, 1, 0, NULL);
2010 p = isl_printer_print_str(p, " -> [");
2011 p = isl_printer_print_str(p, "(");
2012 p = print_affine_of_len(aff->ls->dim, aff->ls->div, p,
2013 aff->v->el + 1, 1 + total, 1);
2014 if (isl_int_is_one(aff->v->el[0]))
2015 p = isl_printer_print_str(p, ")");
2017 p = isl_printer_print_str(p, ")/");
2018 p = isl_printer_print_isl_int(p, aff->v->el[0]);
2020 p = isl_printer_print_str(p, "]");
2025 static __isl_give isl_printer *print_aff_isl(__isl_take isl_printer *p,
2026 __isl_keep isl_aff *aff)
2031 if (isl_local_space_dim(aff->ls, isl_dim_param) > 0) {
2032 p = print_tuple(aff->ls->dim, p, isl_dim_param, 0, 0, NULL);
2033 p = isl_printer_print_str(p, " -> ");
2035 p = isl_printer_print_str(p, "{ ");
2036 p = print_aff(p, aff);
2037 p = isl_printer_print_str(p, " }");
2040 isl_printer_free(p);
2044 static __isl_give isl_printer *print_pw_aff_isl(__isl_take isl_printer *p,
2045 __isl_keep isl_pw_aff *pwaff)
2052 if (isl_dim_size(pwaff->dim, isl_dim_param) > 0) {
2053 p = print_tuple(pwaff->dim, p, isl_dim_param, 0, 0, NULL);
2054 p = isl_printer_print_str(p, " -> ");
2056 p = isl_printer_print_str(p, "{ ");
2057 for (i = 0; i < pwaff->n; ++i) {
2059 p = isl_printer_print_str(p, "; ");
2060 p = print_aff(p, pwaff->p[i].aff);
2061 p = print_disjuncts((isl_map *)pwaff->p[i].set, p, 1, 0);
2063 p = isl_printer_print_str(p, " }");
2066 isl_printer_free(p);
2070 static __isl_give isl_printer *print_ls_affine_c(__isl_take isl_printer *p,
2071 __isl_keep isl_local_space *ls, isl_int *c);
2073 static __isl_give isl_printer *print_ls_name_c(__isl_take isl_printer *p,
2074 __isl_keep isl_local_space *ls, enum isl_dim_type type, unsigned pos)
2076 if (type == isl_dim_div) {
2077 p = isl_printer_print_str(p, "floord(");
2078 p = print_ls_affine_c(p, ls, ls->div->row[pos] + 1);
2079 p = isl_printer_print_str(p, ", ");
2080 p = isl_printer_print_isl_int(p, ls->div->row[pos][0]);
2081 p = isl_printer_print_str(p, ")");
2085 name = isl_dim_get_name(ls->dim, type, pos);
2088 p = isl_printer_print_str(p, name);
2093 static __isl_give isl_printer *print_ls_term_c(__isl_take isl_printer *p,
2094 __isl_keep isl_local_space *ls, isl_int c, unsigned pos)
2096 enum isl_dim_type type;
2099 return isl_printer_print_isl_int(p, c);
2101 if (isl_int_is_one(c))
2103 else if (isl_int_is_negone(c))
2104 p = isl_printer_print_str(p, "-");
2106 p = isl_printer_print_isl_int(p, c);
2107 p = isl_printer_print_str(p, "*");
2109 type = pos2type(ls->dim, &pos);
2110 p = print_ls_name_c(p, ls, type, pos);
2114 static __isl_give isl_printer *print_ls_partial_affine_c(
2115 __isl_take isl_printer *p, __isl_keep isl_local_space *ls,
2116 isl_int *c, unsigned len)
2121 for (i = 0, first = 1; i < len; ++i) {
2123 if (isl_int_is_zero(c[i]))
2126 if (isl_int_is_neg(c[i])) {
2128 isl_int_neg(c[i], c[i]);
2129 p = isl_printer_print_str(p, " - ");
2131 p = isl_printer_print_str(p, " + ");
2134 p = print_ls_term_c(p, ls, c[i], i);
2136 isl_int_neg(c[i], c[i]);
2139 p = isl_printer_print_str(p, "0");
2143 static __isl_give isl_printer *print_ls_affine_c(__isl_take isl_printer *p,
2144 __isl_keep isl_local_space *ls, isl_int *c)
2146 unsigned len = 1 + isl_local_space_dim(ls, isl_dim_all);
2147 return print_ls_partial_affine_c(p, ls, c, len);
2150 static __isl_give isl_printer *print_aff_c(__isl_take isl_printer *p,
2151 __isl_keep isl_aff *aff)
2155 total = isl_local_space_dim(aff->ls, isl_dim_all);
2156 p = isl_printer_print_str(p, "(");
2157 p = print_ls_partial_affine_c(p, aff->ls, aff->v->el + 1, 1 + total);
2158 if (isl_int_is_one(aff->v->el[0]))
2159 p = isl_printer_print_str(p, ")");
2161 p = isl_printer_print_str(p, ")/");
2162 p = isl_printer_print_isl_int(p, aff->v->el[0]);
2167 static __isl_give isl_printer *print_pw_aff_c(__isl_take isl_printer *p,
2168 __isl_keep isl_pw_aff *pwaff)
2173 isl_die(p->ctx, isl_error_unsupported,
2174 "cannot print empty isl_pw_aff in C format", goto error);
2176 for (i = 0; i < pwaff->n - 1; ++i) {
2177 p = isl_printer_print_str(p, "(");
2178 p = print_set_c(p, pwaff->dim, pwaff->p[i].set);
2179 p = isl_printer_print_str(p, ") ? (");
2180 p = print_aff_c(p, pwaff->p[i].aff);
2181 p = isl_printer_print_str(p, ") : ");
2184 return print_aff_c(p, pwaff->p[pwaff->n - 1].aff);
2186 isl_printer_free(p);
2190 __isl_give isl_printer *isl_printer_print_aff(__isl_take isl_printer *p,
2191 __isl_keep isl_aff *aff)
2196 if (p->output_format == ISL_FORMAT_ISL)
2197 return print_aff_isl(p, aff);
2198 else if (p->output_format == ISL_FORMAT_C)
2199 return print_aff_c(p, aff);
2200 isl_die(p->ctx, isl_error_unsupported, "unsupported output format",
2203 isl_printer_free(p);
2207 __isl_give isl_printer *isl_printer_print_pw_aff(__isl_take isl_printer *p,
2208 __isl_keep isl_pw_aff *pwaff)
2213 if (p->output_format == ISL_FORMAT_ISL)
2214 return print_pw_aff_isl(p, pwaff);
2215 else if (p->output_format == ISL_FORMAT_C)
2216 return print_pw_aff_c(p, pwaff);
2217 isl_die(p->ctx, isl_error_unsupported, "unsupported output format",
2220 isl_printer_free(p);