add public API for matrices
[platform/upstream/isl.git] / isl_output.c
1 /*
2  * Copyright 2008-2009 Katholieke Universiteit Leuven
3  * Copyright 2010      INRIA Saclay
4  *
5  * Use of this software is governed by the GNU LGPLv2.1 license
6  *
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 
11  */
12
13 #include <stdlib.h>
14 #include <string.h>
15 #include <isl_set.h>
16 #include <isl_seq.h>
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>
23
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_" };
40
41 static __isl_give isl_printer *print_constraint_polylib(
42         struct isl_basic_map *bmap, int ineq, int n, __isl_take isl_printer *p)
43 {
44         int i;
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];
49
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]);
55         }
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]);
59         }
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]);
63         }
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]);
67         }
68         p = isl_printer_print_str(p, " ");
69         p = isl_printer_print_isl_int(p, c[0]);
70         p = isl_printer_end_line(p);
71         return p;
72 }
73
74 static __isl_give isl_printer *print_constraints_polylib(
75         struct isl_basic_map *bmap, __isl_take isl_printer *p)
76 {
77         int i;
78
79         p = isl_printer_set_isl_int_width(p, 5);
80
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);
85
86         return p;
87 }
88
89 static __isl_give isl_printer *bset_print_constraints_polylib(
90         struct isl_basic_set *bset, __isl_take isl_printer *p)
91 {
92         return print_constraints_polylib((struct isl_basic_map *)bset, p);
93 }
94
95 static __isl_give isl_printer *isl_basic_map_print_polylib(
96         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
97 {
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);
103         p = isl_printer_end_line(p);
104         return print_constraints_polylib(bmap, p);
105 }
106
107 static __isl_give isl_printer *isl_basic_set_print_polylib(
108         __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
109 {
110         return isl_basic_map_print_polylib((struct isl_basic_map *)bset, p);
111 }
112
113 static __isl_give isl_printer *isl_map_print_polylib(__isl_keep isl_map *map,
114         __isl_take isl_printer *p)
115 {
116         int i;
117
118         p = isl_printer_start_line(p);
119         p = isl_printer_print_int(p, map->n);
120         p = isl_printer_end_line(p);
121         for (i = 0; i < map->n; ++i) {
122                 p = isl_printer_start_line(p);
123                 p = isl_printer_end_line(p);
124                 p = isl_basic_map_print_polylib(map->p[i], p);
125         }
126         return p;
127 }
128
129 static __isl_give isl_printer *isl_set_print_polylib(__isl_keep isl_set *set,
130         __isl_take isl_printer *p)
131 {
132         return isl_map_print_polylib((struct isl_map *)set, p);
133 }
134
135 static int count_same_name(__isl_keep isl_dim *dim,
136         enum isl_dim_type type, unsigned pos, const char *name)
137 {
138         enum isl_dim_type t;
139         unsigned p, s;
140         int count = 0;
141
142         for (t = isl_dim_param; t <= type && t <= isl_dim_out; ++t) {
143                 s = t == type ? pos : isl_dim_size(dim, t);
144                 for (p = 0; p < s; ++p) {
145                         const char *n = isl_dim_get_name(dim, t, p);
146                         if (n && !strcmp(n, name))
147                                 count++;
148                 }
149         }
150         return count;
151 }
152
153 static __isl_give isl_printer *print_name(__isl_keep isl_dim *dim,
154         __isl_take isl_printer *p, enum isl_dim_type type, unsigned pos,
155         int set, int latex)
156 {
157         const char *name;
158         char buffer[20];
159         int primes;
160
161         name = type == isl_dim_div ? NULL : isl_dim_get_name(dim, type, pos);
162
163         if (!name) {
164                 const char *prefix;
165                 if (type == isl_dim_param)
166                         prefix = s_param_prefix[latex];
167                 else if (type == isl_dim_div)
168                         prefix = s_div_prefix[latex];
169                 else if (set || type == isl_dim_in)
170                         prefix = s_input_prefix[latex];
171                 else
172                         prefix = s_output_prefix[latex];
173                 snprintf(buffer, sizeof(buffer), "%s%d", prefix, pos);
174                 name = buffer;
175         }
176         primes = count_same_name(dim, name == buffer ? isl_dim_div : type,
177                                  pos, name);
178         p = isl_printer_print_str(p, name);
179         while (primes-- > 0)
180                 p = isl_printer_print_str(p, "'");
181         return p;
182 }
183
184 static enum isl_dim_type pos2type(__isl_keep isl_dim *dim, unsigned *pos)
185 {
186         enum isl_dim_type type;
187         unsigned n_in = isl_dim_size(dim, isl_dim_in);
188         unsigned n_out = isl_dim_size(dim, isl_dim_out);
189         unsigned nparam = isl_dim_size(dim, isl_dim_param);
190
191         if (*pos < 1 + nparam) {
192                 type = isl_dim_param;
193                 *pos -= 1;
194         } else if (*pos < 1 + nparam + n_in) {
195                 type = isl_dim_in;
196                 *pos -= 1 + nparam;
197         } else if (*pos < 1 + nparam + n_in + n_out) {
198                 type = isl_dim_out;
199                 *pos -= 1 + nparam + n_in;
200         } else {
201                 type = isl_dim_div;
202                 *pos -= 1 + nparam + n_in + n_out;
203         }
204
205         return type;
206 }
207
208 static __isl_give isl_printer *print_term(__isl_keep isl_dim *dim,
209         isl_int c, unsigned pos, __isl_take isl_printer *p, int set, int latex)
210 {
211         enum isl_dim_type type;
212
213         if (pos == 0)
214                 return isl_printer_print_isl_int(p, c);
215
216         if (isl_int_is_one(c))
217                 ;
218         else if (isl_int_is_negone(c))
219                 p = isl_printer_print_str(p, "-");
220         else
221                 p = isl_printer_print_isl_int(p, c);
222         type = pos2type(dim, &pos);
223         p = print_name(dim, p, type, pos, set, latex);
224         return p;
225 }
226
227 static __isl_give isl_printer *print_affine_of_len(__isl_keep isl_dim *dim,
228         __isl_take isl_printer *p, isl_int *c, int len, int set)
229 {
230         int i;
231         int first;
232
233         for (i = 0, first = 1; i < len; ++i) {
234                 int flip = 0;
235                 if (isl_int_is_zero(c[i]))
236                         continue;
237                 if (!first) {
238                         if (isl_int_is_neg(c[i])) {
239                                 flip = 1;
240                                 isl_int_neg(c[i], c[i]);
241                                 p = isl_printer_print_str(p, " - ");
242                         } else 
243                                 p = isl_printer_print_str(p, " + ");
244                 }
245                 first = 0;
246                 p = print_term(dim, c[i], i, p, set, 0);
247                 if (flip)
248                         isl_int_neg(c[i], c[i]);
249         }
250         if (first)
251                 p = isl_printer_print_str(p, "0");
252         return p;
253 }
254
255 static __isl_give isl_printer *print_affine(__isl_keep isl_basic_map *bmap,
256         __isl_keep isl_dim *dim, __isl_take isl_printer *p, isl_int *c, int set)
257 {
258         unsigned len = 1 + isl_basic_map_total_dim(bmap);
259         return print_affine_of_len(dim, p, c, len, set);
260 }
261
262 static int defining_equality(__isl_keep isl_basic_map *eq,
263         __isl_keep isl_dim *dim, enum isl_dim_type type, int pos)
264 {
265         int i;
266         unsigned total;
267
268         if (!eq)
269                 return -1;
270
271         pos += isl_dim_offset(dim, type);
272         total = isl_basic_map_total_dim(eq);
273
274         for (i = 0; i < eq->n_eq; ++i) {
275                 if (isl_seq_last_non_zero(eq->eq[i] + 1, total) != pos)
276                         continue;
277                 if (isl_int_is_one(eq->eq[i][1 + pos]))
278                         isl_seq_neg(eq->eq[i], eq->eq[i], 1 + total);
279                 return i;
280         }
281
282         return -1;
283 }
284
285 /* offset is the offset of local_dim inside global_type of global_dim.
286  */
287 static __isl_give isl_printer *print_nested_var_list(__isl_take isl_printer *p,
288         __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
289         __isl_keep isl_dim *local_dim, enum isl_dim_type local_type,
290         int set, int latex, __isl_keep isl_basic_map *eq, int offset)
291 {
292         int i, j;
293
294         if (global_dim != local_dim && local_type == isl_dim_out)
295                 offset += local_dim->n_in;
296
297         for (i = 0; i < isl_dim_size(local_dim, local_type); ++i) {
298                 if (i)
299                         p = isl_printer_print_str(p, ", ");
300                 j = defining_equality(eq, global_dim, global_type, offset + i);
301                 if (j >= 0) {
302                         int pos = 1 + isl_dim_offset(global_dim, global_type)
303                                     + offset + i;
304                         p = print_affine_of_len(eq->dim, p, eq->eq[j], pos, set);
305                 } else {
306                         p = print_name(global_dim, p, global_type, offset + i,
307                                         set, latex);
308                 }
309         }
310         return p;
311 }
312
313 static __isl_give isl_printer *print_var_list(__isl_keep isl_dim *dim,
314         __isl_take isl_printer *p, enum isl_dim_type type,
315         int set, int latex, __isl_keep isl_basic_map *eq)
316 {
317         return print_nested_var_list(p, dim, type, dim, type, set, latex, eq, 0);
318 }
319
320 static __isl_give isl_printer *print_nested_map_dim(__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,
323          int set, int latex, __isl_keep isl_basic_map *eq, int offset);
324
325 static __isl_give isl_printer *print_nested_tuple(__isl_take isl_printer *p,
326         __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
327         __isl_keep isl_dim *local_dim, enum isl_dim_type local_type,
328         int set, int latex, __isl_keep isl_basic_map *eq, int offset)
329 {
330         const char *name = NULL;
331         unsigned n = isl_dim_size(local_dim, local_type);
332         if ((local_type == isl_dim_in || local_type == isl_dim_out)) {
333                 name = isl_dim_get_tuple_name(local_dim, local_type);
334                 if (name) {
335                         if (latex)
336                                 p = isl_printer_print_str(p, "\\mathrm{");
337                         p = isl_printer_print_str(p, name);
338                         if (latex)
339                                 p = isl_printer_print_str(p, "}");
340                 }
341         }
342         if (!latex || n != 1 || name)
343                 p = isl_printer_print_str(p, s_open_list[latex]);
344         if ((local_type == isl_dim_in || local_type == isl_dim_out) &&
345             local_dim->nested[local_type - isl_dim_in]) {
346                 if (global_dim != local_dim && local_type == isl_dim_out)
347                         offset += local_dim->n_in;
348                 p = print_nested_map_dim(p, global_dim, global_type,
349                                 local_dim->nested[local_type - isl_dim_in],
350                                 set, latex, eq, offset);
351         } else
352                 p = print_nested_var_list(p, global_dim, global_type,
353                                  local_dim, local_type, set, latex, eq, offset);
354         if (!latex || n != 1 || name)
355                 p = isl_printer_print_str(p, s_close_list[latex]);
356         return p;
357 }
358
359 static __isl_give isl_printer *print_tuple(__isl_keep isl_dim *dim,
360         __isl_take isl_printer *p, enum isl_dim_type type,
361         int set, int latex, __isl_keep isl_basic_map *eq)
362 {
363         return print_nested_tuple(p, dim, type, dim, type, set, latex, eq, 0);
364 }
365
366 static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p,
367         __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
368         __isl_keep isl_dim *local_dim,
369          int set, int latex, __isl_keep isl_basic_map *eq, int offset)
370 {
371         p = print_nested_tuple(p, global_dim, global_type,
372                         local_dim, isl_dim_in, set, latex, eq, offset);
373         p = isl_printer_print_str(p, s_to[latex]);
374         p = print_nested_tuple(p, global_dim, global_type,
375                         local_dim, isl_dim_out, set, latex, eq, offset);
376
377         return p;
378 }
379
380 static __isl_give isl_printer *print_dim(__isl_keep isl_dim *dim,
381         __isl_take isl_printer *p, int set, int latex,
382         __isl_keep isl_basic_map *eq)
383 {
384         if (set)
385                 p = print_tuple(dim, p, isl_dim_set, 1, latex, eq);
386         else {
387                 p = print_tuple(dim, p, isl_dim_in, 0, latex, eq);
388                 p = isl_printer_print_str(p, s_to[latex]);
389                 p = print_tuple(dim, p, isl_dim_out, 0, latex, eq);
390         }
391
392         return p;
393 }
394
395 static __isl_give isl_printer *print_omega_parameters(__isl_keep isl_dim *dim,
396         __isl_take isl_printer *p)
397 {
398         if (isl_dim_size(dim, isl_dim_param) == 0)
399                 return p;
400
401         p = isl_printer_start_line(p);
402         p = isl_printer_print_str(p, "symbolic ");
403         p = print_var_list(dim, p, isl_dim_param, 0, 0, NULL);
404         p = isl_printer_print_str(p, ";");
405         p = isl_printer_end_line(p);
406         return p;
407 }
408
409 static __isl_give isl_printer *print_constraint(struct isl_basic_map *bmap,
410         __isl_keep isl_dim *dim, __isl_take isl_printer *p,
411         isl_int *c, int last, const char *op, int first_constraint, int set,
412         int latex)
413 {
414         if (!first_constraint)
415                 p = isl_printer_print_str(p, s_and[latex]);
416
417         isl_int_abs(c[last], c[last]);
418
419         p = print_term(dim, c[last], last, p, set, latex);
420
421         p = isl_printer_print_str(p, " ");
422         p = isl_printer_print_str(p, op);
423         p = isl_printer_print_str(p, " ");
424
425         isl_int_set_si(c[last], 0);
426         p = print_affine(bmap, dim, p, c, set);
427
428         return p;
429 }
430
431 static __isl_give isl_printer *print_constraints(__isl_keep isl_basic_map *bmap,
432         __isl_keep isl_dim *dim, __isl_take isl_printer *p, int set, int latex)
433 {
434         int i;
435         struct isl_vec *c;
436         unsigned total = isl_basic_map_total_dim(bmap);
437
438         c = isl_vec_alloc(bmap->ctx, 1 + total);
439         if (!c)
440                 goto error;
441
442         for (i = bmap->n_eq - 1; i >= 0; --i) {
443                 int l = isl_seq_last_non_zero(bmap->eq[i], 1 + total);
444                 isl_assert(bmap->ctx, l >= 0, goto error);
445                 if (isl_int_is_neg(bmap->eq[i][l]))
446                         isl_seq_cpy(c->el, bmap->eq[i], 1 + total);
447                 else
448                         isl_seq_neg(c->el, bmap->eq[i], 1 + total);
449                 p = print_constraint(bmap, dim, p, c->el, l,
450                                     "=", i == bmap->n_eq - 1, set, latex);
451         }
452         for (i = 0; i < bmap->n_ineq; ++i) {
453                 int l = isl_seq_last_non_zero(bmap->ineq[i], 1 + total);
454                 int s;
455                 const char *op;
456                 if (l < 0)
457                         continue;
458                 s = isl_int_sgn(bmap->ineq[i][l]);
459                 if (s < 0)
460                         isl_seq_cpy(c->el, bmap->ineq[i], 1 + total);
461                 else
462                         isl_seq_neg(c->el, bmap->ineq[i], 1 + total);
463                 op = s < 0 ? s_le[latex] : s_ge[latex];
464                 p = print_constraint(bmap, dim, p, c->el, l,
465                                         op, !bmap->n_eq && !i, set, latex);
466         }
467
468         isl_vec_free(c);
469
470         return p;
471 error:
472         isl_printer_free(p);
473         return NULL;
474 }
475
476 static __isl_give isl_printer *print_omega_constraints(
477         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int set)
478 {
479         if (bmap->n_eq + bmap->n_ineq == 0)
480                 return p;
481
482         p = isl_printer_print_str(p, ": ");
483         if (bmap->n_div > 0) {
484                 int i;
485                 p = isl_printer_print_str(p, "exists (");
486                 for (i = 0; i < bmap->n_div; ++i) {
487                         if (i)
488                                 p = isl_printer_print_str(p, ", ");
489                         p = print_name(bmap->dim, p, isl_dim_div, i, 0, 0);
490                 }
491                 p = isl_printer_print_str(p, ": ");
492         }
493         p = print_constraints(bmap, bmap->dim, p, set, 0);
494         if (bmap->n_div > 0)
495                 p = isl_printer_print_str(p, ")");
496         return p;
497 }
498
499 static __isl_give isl_printer *basic_map_print_omega(
500         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
501 {
502         p = isl_printer_print_str(p, "{ [");
503         p = print_var_list(bmap->dim, p, isl_dim_in, 0, 0, NULL);
504         p = isl_printer_print_str(p, "] -> [");
505         p = print_var_list(bmap->dim, p, isl_dim_out, 0, 0, NULL);
506         p = isl_printer_print_str(p, "] ");
507         p = print_omega_constraints(bmap, p, 0);
508         p = isl_printer_print_str(p, " }");
509         return p;
510 }
511
512 static __isl_give isl_printer *isl_basic_map_print_omega(
513         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
514 {
515         p = print_omega_parameters(bmap->dim, p);
516
517         p = isl_printer_start_line(p);
518         p = basic_map_print_omega(bmap, p);
519         p = isl_printer_end_line(p);
520         return p;
521 }
522
523 static __isl_give isl_printer *basic_set_print_omega(
524         __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
525 {
526         p = isl_printer_print_str(p, "{ [");
527         p = print_var_list(bset->dim, p, isl_dim_set, 1, 0, NULL);
528         p = isl_printer_print_str(p, "] ");
529         p = print_omega_constraints((isl_basic_map *)bset, p, 1);
530         p = isl_printer_print_str(p, " }");
531         return p;
532 }
533
534 static __isl_give isl_printer *isl_basic_set_print_omega(
535         __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
536 {
537         p = print_omega_parameters(bset->dim, p);
538
539         p = isl_printer_start_line(p);
540         p = basic_set_print_omega(bset, p);
541         p = isl_printer_end_line(p);
542         return p;
543 }
544
545 static __isl_give isl_printer *isl_map_print_omega(__isl_keep isl_map *map,
546         __isl_take isl_printer *p)
547 {
548         int i;
549
550         p = print_omega_parameters(map->dim, p);
551
552         p = isl_printer_start_line(p);
553         for (i = 0; i < map->n; ++i) {
554                 if (i)
555                         p = isl_printer_print_str(p, " union ");
556                 p = basic_map_print_omega(map->p[i], p);
557         }
558         p = isl_printer_end_line(p);
559         return p;
560 }
561
562 static __isl_give isl_printer *isl_set_print_omega(__isl_keep isl_set *set,
563         __isl_take isl_printer *p)
564 {
565         int i;
566
567         p = print_omega_parameters(set->dim, p);
568
569         p = isl_printer_start_line(p);
570         for (i = 0; i < set->n; ++i) {
571                 if (i)
572                         p = isl_printer_print_str(p, " union ");
573                 p = basic_set_print_omega(set->p[i], p);
574         }
575         p = isl_printer_end_line(p);
576         return p;
577 }
578
579 static __isl_give isl_printer *print_disjunct(__isl_keep isl_basic_map *bmap,
580         __isl_keep isl_dim *dim, __isl_take isl_printer *p, int set, int latex)
581 {
582         if (bmap->n_div > 0) {
583                 int i;
584                 p = isl_printer_print_str(p, s_open_exists[latex]);
585                 for (i = 0; i < bmap->n_div; ++i) {
586                         if (i)
587                                 p = isl_printer_print_str(p, ", ");
588                         p = print_name(dim, p, isl_dim_div, i, 0, latex);
589                         if (latex || isl_int_is_zero(bmap->div[i][0]))
590                                 continue;
591                         p = isl_printer_print_str(p, " = [(");
592                         p = print_affine(bmap, dim, p, bmap->div[i] + 1, set);
593                         p = isl_printer_print_str(p, ")/");
594                         p = isl_printer_print_isl_int(p, bmap->div[i][0]);
595                         p = isl_printer_print_str(p, "]");
596                 }
597                 p = isl_printer_print_str(p, ": ");
598         }
599
600         p = print_constraints(bmap, dim, p, set, latex);
601
602         if (bmap->n_div > 0)
603                 p = isl_printer_print_str(p, s_close_exists[latex]);
604         return p;
605 }
606
607 static __isl_give isl_printer *isl_basic_map_print_isl(
608         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int latex)
609 {
610         int i;
611
612         p = isl_printer_start_line(p);
613         if (isl_basic_map_dim(bmap, isl_dim_param) > 0) {
614                 p = print_tuple(bmap->dim, p, isl_dim_param, 0, latex, NULL);
615                 p = isl_printer_print_str(p, " -> ");
616         }
617         p = isl_printer_print_str(p, "{ ");
618         p = print_dim(bmap->dim, p, 0, latex, NULL);
619         p = isl_printer_print_str(p, " : ");
620         p = print_disjunct(bmap, bmap->dim, p, 0, latex);
621         p = isl_printer_print_str(p, " }");
622         p = isl_printer_end_line(p);
623         return p;
624 }
625
626 static __isl_give isl_printer *isl_basic_set_print_isl(
627         __isl_keep isl_basic_set *bset, __isl_take isl_printer *p, int latex)
628 {
629         int i;
630
631         p = isl_printer_start_line(p);
632         if (isl_basic_set_dim(bset, isl_dim_param) > 0) {
633                 p = print_tuple(bset->dim, p, isl_dim_param, 0, latex, NULL);
634                 p = isl_printer_print_str(p, " -> ");
635         }
636         p = isl_printer_print_str(p, "{ ");
637         p = print_dim(bset->dim, p, 1, latex, NULL);
638         p = isl_printer_print_str(p, " : ");
639         p = print_disjunct((isl_basic_map *)bset, bset->dim, p, 1, latex);
640         p = isl_printer_print_str(p, " }");
641         p = isl_printer_end_line(p);
642         return p;
643 }
644
645 static __isl_give isl_printer *print_disjuncts(__isl_keep isl_map *map,
646         __isl_take isl_printer *p, int set, int latex)
647 {
648         int i;
649
650         if (isl_map_fast_is_universe(map))
651                 return p;
652
653         p = isl_printer_print_str(p, s_such_that[latex]);
654         if (map->n == 0)
655                 p = isl_printer_print_str(p, "1 = 0");
656         for (i = 0; i < map->n; ++i) {
657                 if (i)
658                         p = isl_printer_print_str(p, s_or[latex]);
659                 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
660                         p = isl_printer_print_str(p, "(");
661                 p = print_disjunct(map->p[i], map->dim, p, set, latex);
662                 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
663                         p = isl_printer_print_str(p, ")");
664         }
665         return p;
666 }
667
668 struct isl_aff_split {
669         isl_basic_map *aff;
670         isl_map *map;
671 };
672
673 static void free_split(__isl_take struct isl_aff_split *split, int n)
674 {
675         int i;
676
677         if (!split)
678                 return;
679
680         for (i = 0; i < n; ++i) {
681                 isl_basic_map_free(split[i].aff);
682                 isl_map_free(split[i].map);
683         }
684
685         free(split);
686 }
687
688 static __isl_give isl_basic_map *get_aff(__isl_take isl_basic_map *bmap)
689 {
690         int i, j;
691         unsigned nparam, n_in, n_out, total;
692
693         bmap = isl_basic_map_cow(bmap);
694         if (!bmap)
695                 return NULL;
696         if (isl_basic_map_free_inequality(bmap, bmap->n_ineq) < 0)
697                 goto error;
698
699         nparam = isl_basic_map_dim(bmap, isl_dim_param);
700         n_in = isl_basic_map_dim(bmap, isl_dim_in);
701         n_out = isl_basic_map_dim(bmap, isl_dim_out);
702         total = isl_basic_map_dim(bmap, isl_dim_all);
703         for (i = bmap->n_eq - 1; i >= 0; --i) {
704                 j = isl_seq_last_non_zero(bmap->eq[i] + 1, total);
705                 if (j >= nparam && j < nparam + n_in + n_out &&
706                     (isl_int_is_one(bmap->eq[i][1 + j]) ||
707                      isl_int_is_negone(bmap->eq[i][1 + j])))
708                         continue;
709                 if (isl_basic_map_drop_equality(bmap, i) < 0)
710                         goto error;
711         }
712
713         bmap = isl_basic_map_finalize(bmap);
714
715         return bmap;
716 error:
717         isl_basic_map_free(bmap);
718         return NULL;
719 }
720
721 static int aff_split_cmp(const void *p1, const void *p2)
722 {
723         const struct isl_aff_split *s1, *s2;
724         s1 = (const struct isl_aff_split *) p1;
725         s2 = (const struct isl_aff_split *) p2;
726
727         return isl_basic_map_fast_cmp(s1->aff, s2->aff);
728 }
729
730 static __isl_give isl_basic_map *drop_aff(__isl_take isl_basic_map *bmap,
731         __isl_keep isl_basic_map *aff)
732 {
733         int i, j;
734         unsigned total;
735
736         if (!bmap || !aff)
737                 goto error;
738
739         total = isl_dim_total(bmap->dim);
740
741         for (i = bmap->n_eq - 1; i >= 0; --i) {
742                 if (isl_seq_first_non_zero(bmap->eq[i] + 1 + total,
743                                             bmap->n_div) != -1)
744                         continue;
745                 for (j = 0; j < aff->n_eq; ++j) {
746                         if (!isl_seq_eq(bmap->eq[i], aff->eq[j], 1 + total) &&
747                             !isl_seq_is_neg(bmap->eq[i], aff->eq[j], 1 + total))
748                                 continue;
749                         if (isl_basic_map_drop_equality(bmap, i) < 0)
750                                 goto error;
751                         break;
752                 }
753         }
754
755         return bmap;
756 error:
757         isl_basic_map_free(bmap);
758         return NULL;
759 }
760
761 static __isl_give struct isl_aff_split *split_aff(__isl_keep isl_map *map)
762 {
763         int i, n;
764         struct isl_aff_split *split;
765
766         split = isl_calloc_array(map->isl, struct isl_aff_split, map->n);
767         if (!split)
768                 return NULL;
769         
770         for (i = 0; i < map->n; ++i) {
771                 isl_basic_map *bmap;
772                 split[i].aff = get_aff(isl_basic_map_copy(map->p[i]));
773                 bmap = isl_basic_map_copy(map->p[i]);
774                 bmap = isl_basic_map_cow(bmap);
775                 bmap = drop_aff(bmap, split[i].aff);
776                 split[i].map = isl_map_from_basic_map(bmap);
777                 if (!split[i].aff || !split[i].map)
778                         goto error;
779         }
780
781         qsort(split, map->n, sizeof(struct isl_aff_split), &aff_split_cmp);
782
783         n = map->n;
784         for (i = n - 1; i >= 1; --i) {
785                 if (!isl_basic_map_fast_is_equal(split[i - 1].aff,
786                                                  split[i].aff))
787                         continue;
788                 isl_basic_map_free(split[i].aff);
789                 split[i - 1].map = isl_map_union(split[i - 1].map,
790                                                  split[i].map);
791                 if (i != n - 1)
792                         split[i] = split[n - 1];
793                 split[n - 1].aff = NULL;
794                 split[n - 1].map = NULL;
795                 --n;
796         }
797
798         return split;
799 error:
800         free_split(split, map->n);
801         return NULL;
802 }
803
804 static __isl_give isl_printer *print_split_map(__isl_take isl_printer *p,
805         struct isl_aff_split *split, int n, int set)
806 {
807         int i;
808
809         for (i = 0; i < n; ++i) {
810                 isl_dim *dim;
811
812                 if (!split[i].map)
813                         break;
814                 dim = split[i].map->dim;
815                 if (i)
816                         p = isl_printer_print_str(p, "; ");
817                 p = print_dim(dim, p, set, 0, split[i].aff);
818                 p = print_disjuncts(split[i].map, p, set, 0);
819         }
820
821         return p;
822 }
823
824 static __isl_give isl_printer *isl_map_print_isl_body(__isl_keep isl_map *map,
825         __isl_take isl_printer *p, int set)
826 {
827         struct isl_aff_split *split = NULL;
828
829         if (map->n > 0)
830                 split = split_aff(map);
831         if (split) {
832                 p = print_split_map(p, split, map->n, set);
833         } else {
834                 p = print_dim(map->dim, p, set, 0, NULL);
835                 p = print_disjuncts(map, p, set, 0);
836         }
837         free_split(split, map->n);
838         return p;
839 }
840
841 static __isl_give isl_printer *isl_map_print_isl(__isl_keep isl_map *map,
842         __isl_take isl_printer *p, int set)
843 {
844         if (isl_map_dim(map, isl_dim_param) > 0) {
845                 p = print_tuple(map->dim, p, isl_dim_param, set, 0, NULL);
846                 p = isl_printer_print_str(p, s_to[0]);
847         }
848         p = isl_printer_print_str(p, s_open_set[0]);
849         p = isl_map_print_isl_body(map, p, set);
850         p = isl_printer_print_str(p, s_close_set[0]);
851         return p;
852 }
853
854 static __isl_give isl_printer *print_latex_map(__isl_keep isl_map *map,
855         __isl_take isl_printer *p, __isl_keep isl_basic_map *aff, int set)
856 {
857         if (isl_map_dim(map, isl_dim_param) > 0) {
858                 p = print_tuple(map->dim, p, isl_dim_param, set, 1, NULL);
859                 p = isl_printer_print_str(p, s_to[1]);
860         }
861         p = isl_printer_print_str(p, s_open_set[1]);
862         p = print_dim(map->dim, p, set, 1, aff);
863         p = print_disjuncts(map, p, set, 1);
864         p = isl_printer_print_str(p, s_close_set[1]);
865
866         return p;
867 }
868
869 static __isl_give isl_printer *isl_map_print_latex(__isl_keep isl_map *map,
870         __isl_take isl_printer *p, int set)
871 {
872         int i;
873         struct isl_aff_split *split = NULL;
874
875         if (map->n > 0)
876                 split = split_aff(map);
877
878         if (!split)
879                 return print_latex_map(map, p, NULL, set);
880
881         for (i = 0; i < map->n; ++i) {
882                 if (!split[i].map)
883                         break;
884                 if (i)
885                         p = isl_printer_print_str(p, " \\cup ");
886                 p = print_latex_map(split[i].map, p, split[i].aff, set);
887         }
888
889         free_split(split, map->n);
890         return p;
891 }
892
893 __isl_give isl_printer *isl_printer_print_basic_map(__isl_take isl_printer *p,
894         __isl_keep isl_basic_map *bmap)
895 {
896         if (!p || !bmap)
897                 goto error;
898         if (p->output_format == ISL_FORMAT_ISL)
899                 return isl_basic_map_print_isl(bmap, p, 0);
900         else if (p->output_format == ISL_FORMAT_OMEGA)
901                 return isl_basic_map_print_omega(bmap, p);
902         isl_assert(bmap->ctx, 0, goto error);
903 error:
904         isl_printer_free(p);
905         return NULL;
906 }
907
908 void isl_basic_map_print(__isl_keep isl_basic_map *bmap, FILE *out, int indent,
909         const char *prefix, const char *suffix, unsigned output_format)
910 {
911         isl_printer *printer;
912
913         if (!bmap)
914                 return;
915
916         printer = isl_printer_to_file(bmap->ctx, out);
917         printer = isl_printer_set_indent(printer, indent);
918         printer = isl_printer_set_prefix(printer, prefix);
919         printer = isl_printer_set_suffix(printer, suffix);
920         printer = isl_printer_set_output_format(printer, output_format);
921         isl_printer_print_basic_map(printer, bmap);
922
923         isl_printer_free(printer);
924 }
925
926 __isl_give isl_printer *isl_printer_print_basic_set(__isl_take isl_printer *p,
927         __isl_keep isl_basic_set *bset)
928 {
929         if (!p || !bset)
930                 goto error;
931
932         if (p->output_format == ISL_FORMAT_ISL)
933                 return isl_basic_set_print_isl(bset, p, 0);
934         else if (p->output_format == ISL_FORMAT_POLYLIB)
935                 return isl_basic_set_print_polylib(bset, p);
936         else if (p->output_format == ISL_FORMAT_POLYLIB_CONSTRAINTS)
937                 return bset_print_constraints_polylib(bset, p);
938         else if (p->output_format == ISL_FORMAT_OMEGA)
939                 return isl_basic_set_print_omega(bset, p);
940         isl_assert(p->ctx, 0, goto error);
941 error:
942         isl_printer_free(p);
943         return NULL;
944 }
945
946 void isl_basic_set_print(struct isl_basic_set *bset, FILE *out, int indent,
947         const char *prefix, const char *suffix, unsigned output_format)
948 {
949         isl_printer *printer;
950
951         if (!bset)
952                 return;
953
954         printer = isl_printer_to_file(bset->ctx, out);
955         printer = isl_printer_set_indent(printer, indent);
956         printer = isl_printer_set_prefix(printer, prefix);
957         printer = isl_printer_set_suffix(printer, suffix);
958         printer = isl_printer_set_output_format(printer, output_format);
959         isl_printer_print_basic_set(printer, bset);
960
961         isl_printer_free(printer);
962 }
963
964 __isl_give isl_printer *isl_printer_print_set(__isl_take isl_printer *p,
965         __isl_keep isl_set *set)
966 {
967         if (!p || !set)
968                 goto error;
969         if (p->output_format == ISL_FORMAT_ISL)
970                 return isl_map_print_isl((isl_map *)set, p, 1);
971         else if (p->output_format == ISL_FORMAT_POLYLIB)
972                 return isl_set_print_polylib(set, p);
973         else if (p->output_format == ISL_FORMAT_OMEGA)
974                 return isl_set_print_omega(set, p);
975         else if (p->output_format == ISL_FORMAT_LATEX)
976                 return isl_map_print_latex((isl_map *)set, p, 1);
977         isl_assert(set->ctx, 0, goto error);
978 error:
979         isl_printer_free(p);
980         return NULL;
981 }
982
983 void isl_set_print(struct isl_set *set, FILE *out, int indent,
984         unsigned output_format)
985 {
986         isl_printer *printer;
987
988         if (!set)
989                 return;
990
991         printer = isl_printer_to_file(set->ctx, out);
992         printer = isl_printer_set_indent(printer, indent);
993         printer = isl_printer_set_output_format(printer, output_format);
994         printer = isl_printer_print_set(printer, set);
995
996         isl_printer_free(printer);
997 }
998
999 __isl_give isl_printer *isl_printer_print_map(__isl_take isl_printer *p,
1000         __isl_keep isl_map *map)
1001 {
1002         if (!p || !map)
1003                 goto error;
1004
1005         if (p->output_format == ISL_FORMAT_ISL)
1006                 return isl_map_print_isl(map, p, 0);
1007         else if (p->output_format == ISL_FORMAT_POLYLIB)
1008                 return isl_map_print_polylib(map, p);
1009         else if (p->output_format == ISL_FORMAT_OMEGA)
1010                 return isl_map_print_omega(map, p);
1011         else if (p->output_format == ISL_FORMAT_LATEX)
1012                 return isl_map_print_latex(map, p, 0);
1013         isl_assert(map->ctx, 0, goto error);
1014 error:
1015         isl_printer_free(p);
1016         return NULL;
1017 }
1018
1019 struct isl_union_print_data {
1020         isl_printer *p;
1021         int set;
1022         int first;
1023 };
1024
1025 static int print_map_body(__isl_take isl_map *map, void *user)
1026 {
1027         struct isl_union_print_data *data;
1028         data = (struct isl_union_print_data *)user;
1029
1030         if (!data->first)
1031                 data->p = isl_printer_print_str(data->p, "; ");
1032         data->first = 0;
1033
1034         data->p = isl_map_print_isl_body(map, data->p, data->set);
1035         isl_map_free(map);
1036
1037         return 0;
1038 }
1039
1040 static __isl_give isl_printer *isl_union_map_print_isl(
1041         __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
1042 {
1043         struct isl_union_print_data data = { p, set, 1 };
1044         isl_dim *dim;
1045         dim = isl_union_map_get_dim(umap);
1046         if (isl_dim_size(dim, isl_dim_param) > 0) {
1047                 p = print_tuple(dim, p, isl_dim_param, set, 0, NULL);
1048                 p = isl_printer_print_str(p, s_to[0]);
1049         }
1050         isl_dim_free(dim);
1051         p = isl_printer_print_str(p, s_open_set[0]);
1052         isl_union_map_foreach_map(umap, &print_map_body, &data);
1053         p = data.p;
1054         p = isl_printer_print_str(p, s_close_set[0]);
1055         return p;
1056 }
1057
1058 static int print_latex_map_body(__isl_take isl_map *map, void *user)
1059 {
1060         struct isl_union_print_data *data;
1061         data = (struct isl_union_print_data *)user;
1062
1063         if (!data->first)
1064                 data->p = isl_printer_print_str(data->p, " \\cup ");
1065         data->first = 0;
1066
1067         data->p = isl_map_print_latex(map, data->p, data->set);
1068         isl_map_free(map);
1069
1070         return 0;
1071 }
1072
1073 static __isl_give isl_printer *isl_union_map_print_latex(
1074         __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
1075 {
1076         struct isl_union_print_data data = { p, set, 1 };
1077         isl_union_map_foreach_map(umap, &print_latex_map_body, &data);
1078         p = data.p;
1079         return p;
1080 }
1081
1082 __isl_give isl_printer *isl_printer_print_union_map(__isl_take isl_printer *p,
1083         __isl_keep isl_union_map *umap)
1084 {
1085         if (!p || !umap)
1086                 goto error;
1087
1088         if (p->output_format == ISL_FORMAT_ISL)
1089                 return isl_union_map_print_isl(umap, p, 0);
1090         if (p->output_format == ISL_FORMAT_LATEX)
1091                 return isl_union_map_print_latex(umap, p, 0);
1092
1093         isl_die(p->ctx, isl_error_invalid,
1094                 "invalid output format for isl_union_map", goto error);
1095 error:
1096         isl_printer_free(p);
1097         return NULL;
1098 }
1099
1100 __isl_give isl_printer *isl_printer_print_union_set(__isl_take isl_printer *p,
1101         __isl_keep isl_union_set *uset)
1102 {
1103         if (!p || !uset)
1104                 goto error;
1105
1106         if (p->output_format == ISL_FORMAT_ISL)
1107                 return isl_union_map_print_isl((isl_union_map *)uset, p, 1);
1108         if (p->output_format == ISL_FORMAT_LATEX)
1109                 return isl_union_map_print_latex((isl_union_map *)uset, p, 1);
1110
1111         isl_die(p->ctx, isl_error_invalid,
1112                 "invalid output format for isl_union_set", goto error);
1113 error:
1114         isl_printer_free(p);
1115         return NULL;
1116 }
1117
1118 void isl_map_print(__isl_keep isl_map *map, FILE *out, int indent,
1119         unsigned output_format)
1120 {
1121         isl_printer *printer;
1122
1123         if (!map)
1124                 return;
1125
1126         printer = isl_printer_to_file(map->ctx, out);
1127         printer = isl_printer_set_indent(printer, indent);
1128         printer = isl_printer_set_output_format(printer, output_format);
1129         printer = isl_printer_print_map(printer, map);
1130
1131         isl_printer_free(printer);
1132 }
1133
1134 void isl_union_map_dump(__isl_keep isl_union_map *umap)
1135 {
1136         isl_printer *printer;
1137
1138         if (!umap)
1139                 return;
1140
1141         printer = isl_printer_to_file(isl_union_map_get_ctx(umap), stderr);
1142         printer = isl_printer_print_union_map(printer, umap);
1143         printer = isl_printer_end_line(printer);
1144
1145         isl_printer_free(printer);
1146 }
1147
1148 void isl_union_pw_qpolynomial_dump(__isl_keep isl_union_pw_qpolynomial *upwqp)
1149 {
1150         isl_printer *printer;
1151
1152         if (!upwqp)
1153                 return;
1154
1155         printer = isl_printer_to_file(isl_union_pw_qpolynomial_get_ctx(upwqp),
1156                                         stderr);
1157         printer = isl_printer_print_union_pw_qpolynomial(printer, upwqp);
1158         printer = isl_printer_end_line(printer);
1159
1160         isl_printer_free(printer);
1161 }
1162
1163 void isl_union_pw_qpolynomial_fold_dump(
1164         __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1165 {
1166         isl_printer *printer;
1167
1168         if (!upwf)
1169                 return;
1170
1171         printer = isl_printer_to_file(
1172                         isl_union_pw_qpolynomial_fold_get_ctx(upwf), stderr);
1173         printer = isl_printer_print_union_pw_qpolynomial_fold(printer, upwf);
1174         printer = isl_printer_end_line(printer);
1175
1176         isl_printer_free(printer);
1177 }
1178
1179 static int upoly_rec_n_non_zero(__isl_keep struct isl_upoly_rec *rec)
1180 {
1181         int i;
1182         int n;
1183
1184         for (i = 0, n = 0; i < rec->n; ++i)
1185                 if (!isl_upoly_is_zero(rec->p[i]))
1186                         ++n;
1187
1188         return n;
1189 }
1190
1191 static __isl_give isl_printer *print_div(__isl_keep isl_dim *dim,
1192         __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p)
1193 {
1194         int c = p->output_format == ISL_FORMAT_C;
1195         p = isl_printer_print_str(p, c ? "floord(" : "[(");
1196         p = print_affine_of_len(dim, p, div->row[pos] + 1, div->n_col - 1, 1);
1197         p = isl_printer_print_str(p, c ? ", " : ")/");
1198         p = isl_printer_print_isl_int(p, div->row[pos][0]);
1199         p = isl_printer_print_str(p, c ? ")" : "]");
1200         return p;
1201 }
1202
1203 static __isl_give isl_printer *upoly_print_cst(__isl_keep struct isl_upoly *up,
1204         __isl_take isl_printer *p, int first)
1205 {
1206         struct isl_upoly_cst *cst;
1207         int neg;
1208
1209         cst = isl_upoly_as_cst(up);
1210         if (!cst)
1211                 goto error;
1212         neg = !first && isl_int_is_neg(cst->n);
1213         if (!first)
1214                 p = isl_printer_print_str(p, neg ? " - " :  " + ");
1215         if (neg)
1216                 isl_int_neg(cst->n, cst->n);
1217         if (isl_int_is_zero(cst->d)) {
1218                 int sgn = isl_int_sgn(cst->n);
1219                 p = isl_printer_print_str(p, sgn < 0 ? "-infty" :
1220                                             sgn == 0 ? "NaN" : "infty");
1221         } else
1222                 p = isl_printer_print_isl_int(p, cst->n);
1223         if (neg)
1224                 isl_int_neg(cst->n, cst->n);
1225         if (!isl_int_is_zero(cst->d) && !isl_int_is_one(cst->d)) {
1226                 p = isl_printer_print_str(p, "/");
1227                 p = isl_printer_print_isl_int(p, cst->d);
1228         }
1229         return p;
1230 error:
1231         isl_printer_free(p);
1232         return NULL;
1233 }
1234
1235 static __isl_give isl_printer *print_base(__isl_take isl_printer *p,
1236         __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var)
1237 {
1238         unsigned total;
1239
1240         total = isl_dim_total(dim);
1241         if (var < total)
1242                 p = print_term(dim, dim->ctx->one, 1 + var, p, 1, 0);
1243         else
1244                 p = print_div(dim, div, var - total, p);
1245         return p;
1246 }
1247
1248 static __isl_give isl_printer *print_pow(__isl_take isl_printer *p,
1249         __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var, int exp)
1250 {
1251         p = print_base(p, dim, div, var);
1252         if (exp == 1)
1253                 return p;
1254         if (p->output_format == ISL_FORMAT_C) {
1255                 int i;
1256                 for (i = 1; i < exp; ++i) {
1257                         p = isl_printer_print_str(p, "*");
1258                         p = print_base(p, dim, div, var);
1259                 }
1260         } else {
1261                 p = isl_printer_print_str(p, "^");
1262                 p = isl_printer_print_int(p, exp);
1263         }
1264         return p;
1265 }
1266
1267 static __isl_give isl_printer *upoly_print(__isl_keep struct isl_upoly *up,
1268         __isl_keep isl_dim *dim, __isl_keep isl_mat *div,
1269         __isl_take isl_printer *p)
1270 {
1271         int i, n, first;
1272         struct isl_upoly_rec *rec;
1273
1274         if (!p || !up || !dim || !div)
1275                 goto error;
1276
1277         if (isl_upoly_is_cst(up))
1278                 return upoly_print_cst(up, p, 1);
1279
1280         rec = isl_upoly_as_rec(up);
1281         if (!rec)
1282                 goto error;
1283         n = upoly_rec_n_non_zero(rec);
1284         if (n > 1)
1285                 p = isl_printer_print_str(p, "(");
1286         for (i = 0, first = 1; i < rec->n; ++i) {
1287                 if (isl_upoly_is_zero(rec->p[i]))
1288                         continue;
1289                 if (isl_upoly_is_negone(rec->p[i])) {
1290                         if (!i)
1291                                 p = isl_printer_print_str(p, "-1");
1292                         else if (first)
1293                                 p = isl_printer_print_str(p, "-");
1294                         else
1295                                 p = isl_printer_print_str(p, " - ");
1296                 } else if (isl_upoly_is_cst(rec->p[i]) &&
1297                                 !isl_upoly_is_one(rec->p[i]))
1298                         p = upoly_print_cst(rec->p[i], p, first);
1299                 else {
1300                         if (!first)
1301                                 p = isl_printer_print_str(p, " + ");
1302                         if (i == 0 || !isl_upoly_is_one(rec->p[i]))
1303                                 p = upoly_print(rec->p[i], dim, div, p);
1304                 }
1305                 first = 0;
1306                 if (i == 0)
1307                         continue;
1308                 if (!isl_upoly_is_one(rec->p[i]) &&
1309                     !isl_upoly_is_negone(rec->p[i]))
1310                         p = isl_printer_print_str(p, " * ");
1311                 p = print_pow(p, dim, div, rec->up.var, i);
1312         }
1313         if (n > 1)
1314                 p = isl_printer_print_str(p, ")");
1315         return p;
1316 error:
1317         isl_printer_free(p);
1318         return NULL;
1319 }
1320
1321 __isl_give isl_printer *isl_printer_print_qpolynomial(__isl_take isl_printer *p,
1322         __isl_keep isl_qpolynomial *qp)
1323 {
1324         if (!p || !qp)
1325                 goto error;
1326         p = upoly_print(qp->upoly, qp->dim, qp->div, p);
1327         return p;
1328 error:
1329         isl_printer_free(p);
1330         return NULL;
1331 }
1332
1333 void isl_qpolynomial_print(__isl_keep isl_qpolynomial *qp, FILE *out,
1334         unsigned output_format)
1335 {
1336         isl_printer *p;
1337
1338         if  (!qp)
1339                 return;
1340
1341         isl_assert(qp->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1342         p = isl_printer_to_file(qp->dim->ctx, out);
1343         p = isl_printer_print_qpolynomial(p, qp);
1344         isl_printer_free(p);
1345 }
1346
1347 static __isl_give isl_printer *qpolynomial_fold_print(
1348         __isl_keep isl_qpolynomial_fold *fold, __isl_take isl_printer *p)
1349 {
1350         int i;
1351
1352         if (fold->type == isl_fold_min)
1353                 p = isl_printer_print_str(p, "min");
1354         else if (fold->type == isl_fold_max)
1355                 p = isl_printer_print_str(p, "max");
1356         p = isl_printer_print_str(p, "(");
1357         for (i = 0; i < fold->n; ++i) {
1358                 if (i)
1359                         p = isl_printer_print_str(p, ", ");
1360                 p = isl_printer_print_qpolynomial(p, fold->qp[i]);
1361         }
1362         p = isl_printer_print_str(p, ")");
1363         return p;
1364 }
1365
1366 __isl_give isl_printer *isl_printer_print_qpolynomial_fold(
1367         __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
1368 {
1369         if  (!p || !fold)
1370                 goto error;
1371         p = qpolynomial_fold_print(fold, p);
1372         return p;
1373 error:
1374         isl_printer_free(p);
1375         return NULL;
1376 }
1377
1378 void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold *fold,
1379         FILE *out, unsigned output_format)
1380 {
1381         isl_printer *p;
1382
1383         if (!fold)
1384                 return;
1385
1386         isl_assert(fold->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1387
1388         p = isl_printer_to_file(fold->dim->ctx, out);
1389         p = isl_printer_print_qpolynomial_fold(p, fold);
1390
1391         isl_printer_free(p);
1392 }
1393
1394 static __isl_give isl_printer *isl_pwqp_print_isl_body(
1395         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1396 {
1397         int i = 0;
1398
1399         for (i = 0; i < pwqp->n; ++i) {
1400                 if (i)
1401                         p = isl_printer_print_str(p, "; ");
1402                 if (isl_dim_size(pwqp->p[i].set->dim, isl_dim_set) > 0 ||
1403                     isl_dim_get_tuple_name(pwqp->p[i].set->dim, isl_dim_set)) {
1404                         p = print_dim(pwqp->p[i].set->dim, p, 1, 0, NULL);
1405                         p = isl_printer_print_str(p, " -> ");
1406                 }
1407                 p = isl_printer_print_qpolynomial(p, pwqp->p[i].qp);
1408                 p = print_disjuncts((isl_map *)pwqp->p[i].set, p, 1, 0);
1409         }
1410
1411         return p;
1412 }
1413
1414 static __isl_give isl_printer *print_pw_qpolynomial_isl(
1415         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1416 {
1417         if (!p || !pwqp)
1418                 goto error;
1419
1420         if (isl_dim_size(pwqp->dim, isl_dim_param) > 0) {
1421                 p = print_tuple(pwqp->dim, p, isl_dim_param, 0, 0, NULL);
1422                 p = isl_printer_print_str(p, " -> ");
1423         }
1424         p = isl_printer_print_str(p, "{ ");
1425         if (pwqp->n == 0) {
1426                 if (isl_dim_size(pwqp->dim, isl_dim_set) > 0) {
1427                         p = print_dim(pwqp->dim, p, 1, 0, NULL);
1428                         p = isl_printer_print_str(p, " -> ");
1429                 }
1430                 p = isl_printer_print_str(p, "0");
1431         }
1432         p = isl_pwqp_print_isl_body(p, pwqp);
1433         p = isl_printer_print_str(p, " }");
1434         return p;
1435 error:
1436         isl_printer_free(p);
1437         return NULL;
1438 }
1439
1440 void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial *pwqp, FILE *out,
1441         unsigned output_format)
1442 {
1443         isl_printer *p;
1444
1445         if (!pwqp)
1446                 return;
1447
1448         p = isl_printer_to_file(pwqp->dim->ctx, out);
1449         p = isl_printer_set_output_format(p, output_format);
1450         p = isl_printer_print_pw_qpolynomial(p, pwqp);
1451
1452         isl_printer_free(p);
1453 }
1454
1455 static __isl_give isl_printer *isl_pwf_print_isl_body(
1456         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1457 {
1458         int i = 0;
1459
1460         for (i = 0; i < pwf->n; ++i) {
1461                 if (i)
1462                         p = isl_printer_print_str(p, "; ");
1463                 if (isl_dim_size(pwf->p[i].set->dim, isl_dim_set) > 0) {
1464                         p = print_dim(pwf->p[i].set->dim, p, 1, 0, NULL);
1465                         p = isl_printer_print_str(p, " -> ");
1466                 }
1467                 p = qpolynomial_fold_print(pwf->p[i].fold, p);
1468                 p = print_disjuncts((isl_map *)pwf->p[i].set, p, 1, 0);
1469         }
1470
1471         return p;
1472 }
1473
1474 static __isl_give isl_printer *print_pw_qpolynomial_fold_isl(
1475         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1476 {
1477         if (isl_dim_size(pwf->dim, isl_dim_param) > 0) {
1478                 p = print_tuple(pwf->dim, p, isl_dim_param, 0, 0, NULL);
1479                 p = isl_printer_print_str(p, " -> ");
1480         }
1481         p = isl_printer_print_str(p, "{ ");
1482         if (pwf->n == 0) {
1483                 if (isl_dim_size(pwf->dim, isl_dim_set) > 0) {
1484                         p = print_dim(pwf->dim, p, 1, 0, NULL);
1485                         p = isl_printer_print_str(p, " -> ");
1486                 }
1487                 p = isl_printer_print_str(p, "0");
1488         }
1489         p = isl_pwf_print_isl_body(p, pwf);
1490         p = isl_printer_print_str(p, " }");
1491         return p;
1492 }
1493
1494 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1495         __isl_keep isl_basic_set *bset, isl_int *c);
1496
1497 static __isl_give isl_printer *print_name_c(__isl_take isl_printer *p,
1498         __isl_keep isl_basic_set *bset, enum isl_dim_type type, unsigned pos)
1499 {
1500         if (type == isl_dim_div) {
1501                 p = isl_printer_print_str(p, "floord(");
1502                 p = print_affine_c(p, bset, bset->div[pos] + 1);
1503                 p = isl_printer_print_str(p, ", ");
1504                 p = isl_printer_print_isl_int(p, bset->div[pos][0]);
1505                 p = isl_printer_print_str(p, ")");
1506         } else {
1507                 const char *name;
1508
1509                 name = isl_dim_get_name(bset->dim, type, pos);
1510                 if (!name)
1511                         name = "UNNAMED";
1512                 p = isl_printer_print_str(p, name);
1513         }
1514         return p;
1515 }
1516
1517 static __isl_give isl_printer *print_term_c(__isl_take isl_printer *p,
1518         __isl_keep isl_basic_set *bset, isl_int c, unsigned pos)
1519 {
1520         enum isl_dim_type type;
1521         unsigned nparam = isl_basic_set_dim(bset, isl_dim_param);
1522
1523         if (pos == 0)
1524                 return isl_printer_print_isl_int(p, c);
1525
1526         if (isl_int_is_one(c))
1527                 ;
1528         else if (isl_int_is_negone(c))
1529                 p = isl_printer_print_str(p, "-");
1530         else {
1531                 p = isl_printer_print_isl_int(p, c);
1532                 p = isl_printer_print_str(p, "*");
1533         }
1534         type = pos2type(bset->dim, &pos);
1535         p = print_name_c(p, bset, type, pos);
1536         return p;
1537 }
1538
1539 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1540         __isl_keep isl_basic_set *bset, isl_int *c)
1541 {
1542         int i;
1543         int first;
1544         unsigned len = 1 + isl_basic_set_total_dim(bset);
1545
1546         for (i = 0, first = 1; i < len; ++i) {
1547                 int flip = 0;
1548                 if (isl_int_is_zero(c[i]))
1549                         continue;
1550                 if (!first) {
1551                         if (isl_int_is_neg(c[i])) {
1552                                 flip = 1;
1553                                 isl_int_neg(c[i], c[i]);
1554                                 p = isl_printer_print_str(p, " - ");
1555                         } else 
1556                                 p = isl_printer_print_str(p, " + ");
1557                 }
1558                 first = 0;
1559                 p = print_term_c(p, bset, c[i], i);
1560                 if (flip)
1561                         isl_int_neg(c[i], c[i]);
1562         }
1563         if (first)
1564                 p = isl_printer_print_str(p, "0");
1565         return p;
1566 }
1567
1568 static __isl_give isl_printer *print_constraint_c(__isl_take isl_printer *p,
1569         __isl_keep isl_basic_set *bset, isl_int *c, const char *op, int first)
1570 {
1571         if (!first)
1572                 p = isl_printer_print_str(p, " && ");
1573
1574         p = print_affine_c(p, bset, c);
1575         p = isl_printer_print_str(p, " ");
1576         p = isl_printer_print_str(p, op);
1577         p = isl_printer_print_str(p, " 0");
1578         return p;
1579 }
1580
1581 static __isl_give isl_printer *print_basic_set_c(__isl_take isl_printer *p,
1582         __isl_keep isl_basic_set *bset)
1583 {
1584         int i;
1585
1586         for (i = 0; i < bset->n_eq; ++i)
1587                 p = print_constraint_c(p, bset, bset->eq[i], "==", !i);
1588         for (i = 0; i < bset->n_ineq; ++i)
1589                 p = print_constraint_c(p, bset, bset->ineq[i], ">=",
1590                                         !bset->n_eq && !i);
1591         return p;
1592 }
1593
1594 static __isl_give isl_printer *print_set_c(__isl_take isl_printer *p,
1595         __isl_keep isl_set *set)
1596 {
1597         int i;
1598
1599         if (set->n == 0)
1600                 p = isl_printer_print_str(p, "0");
1601
1602         for (i = 0; i < set->n; ++i) {
1603                 if (i)
1604                         p = isl_printer_print_str(p, " || ");
1605                 if (set->n > 1)
1606                         p = isl_printer_print_str(p, "(");
1607                 p = print_basic_set_c(p, set->p[i]);
1608                 if (set->n > 1)
1609                         p = isl_printer_print_str(p, ")");
1610         }
1611         return p;
1612 }
1613
1614 static __isl_give isl_printer *print_qpolynomial_c(__isl_take isl_printer *p,
1615         __isl_keep isl_qpolynomial *qp)
1616 {
1617         isl_int den;
1618
1619         isl_int_init(den);
1620         isl_qpolynomial_get_den(qp, &den);
1621         if (!isl_int_is_one(den)) {
1622                 isl_qpolynomial *f;
1623                 p = isl_printer_print_str(p, "(");
1624                 qp = isl_qpolynomial_copy(qp);
1625                 f = isl_qpolynomial_rat_cst(isl_dim_copy(qp->dim),
1626                                                 den, qp->dim->ctx->one);
1627                 qp = isl_qpolynomial_mul(qp, f);
1628         }
1629         if (qp)
1630                 p = upoly_print(qp->upoly, qp->dim, qp->div, p);
1631         if (!isl_int_is_one(den)) {
1632                 p = isl_printer_print_str(p, ")/");
1633                 p = isl_printer_print_isl_int(p, den);
1634                 isl_qpolynomial_free(qp);
1635         }
1636         isl_int_clear(den);
1637         return p;
1638 }
1639
1640 static __isl_give isl_printer *print_pw_qpolynomial_c(
1641         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwpq)
1642 {
1643         int i;
1644
1645         if (pwpq->n == 1 && isl_set_fast_is_universe(pwpq->p[0].set))
1646                 return print_qpolynomial_c(p, pwpq->p[0].qp);
1647
1648         for (i = 0; i < pwpq->n; ++i) {
1649                 p = isl_printer_print_str(p, "(");
1650                 p = print_set_c(p, pwpq->p[i].set);
1651                 p = isl_printer_print_str(p, ") ? (");
1652                 p = print_qpolynomial_c(p, pwpq->p[i].qp);
1653                 p = isl_printer_print_str(p, ") : ");
1654         }
1655
1656         p = isl_printer_print_str(p, "0");
1657         return p;
1658 }
1659
1660 __isl_give isl_printer *isl_printer_print_pw_qpolynomial(
1661         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1662 {
1663         if (!p || !pwqp)
1664                 goto error;
1665
1666         if (p->output_format == ISL_FORMAT_ISL)
1667                 return print_pw_qpolynomial_isl(p, pwqp);
1668         else if (p->output_format == ISL_FORMAT_C)
1669                 return print_pw_qpolynomial_c(p, pwqp);
1670         isl_assert(p->ctx, 0, goto error);
1671 error:
1672         isl_printer_free(p);
1673         return NULL;
1674 }
1675
1676 static int print_pwqp_body(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1677 {
1678         struct isl_union_print_data *data;
1679         data = (struct isl_union_print_data *)user;
1680
1681         if (!data->first)
1682                 data->p = isl_printer_print_str(data->p, "; ");
1683         data->first = 0;
1684
1685         data->p = isl_pwqp_print_isl_body(data->p, pwqp);
1686         isl_pw_qpolynomial_free(pwqp);
1687
1688         return 0;
1689 }
1690
1691 static __isl_give isl_printer *print_union_pw_qpolynomial_isl(
1692         __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
1693 {
1694         struct isl_union_print_data data = { p, 1, 1 };
1695         isl_dim *dim;
1696         dim = isl_union_pw_qpolynomial_get_dim(upwqp);
1697         if (isl_dim_size(dim, isl_dim_param) > 0) {
1698                 p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
1699                 p = isl_printer_print_str(p, " -> ");
1700         }
1701         isl_dim_free(dim);
1702         p = isl_printer_print_str(p, "{ ");
1703         isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &print_pwqp_body,
1704                                                         &data);
1705         p = data.p;
1706         p = isl_printer_print_str(p, " }");
1707         return p;
1708 }
1709
1710 __isl_give isl_printer *isl_printer_print_union_pw_qpolynomial(
1711         __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
1712 {
1713         if (!p || !upwqp)
1714                 goto error;
1715
1716         if (p->output_format == ISL_FORMAT_ISL)
1717                 return print_union_pw_qpolynomial_isl(p, upwqp);
1718         isl_die(p->ctx, isl_error_invalid,
1719                 "invalid output format for isl_union_pw_qpolynomial",
1720                 goto error);
1721 error:
1722         isl_printer_free(p);
1723         return NULL;
1724 }
1725
1726 static __isl_give isl_printer *print_qpolynomial_fold_c(
1727         __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
1728 {
1729         int i;
1730
1731         for (i = 0; i < fold->n - 1; ++i)
1732                 if (fold->type == isl_fold_min)
1733                         p = isl_printer_print_str(p, "min(");
1734                 else if (fold->type == isl_fold_max)
1735                         p = isl_printer_print_str(p, "max(");
1736
1737         for (i = 0; i < fold->n; ++i) {
1738                 if (i)
1739                         p = isl_printer_print_str(p, ", ");
1740                 p = print_qpolynomial_c(p, fold->qp[i]);
1741                 if (i)
1742                         p = isl_printer_print_str(p, ")");
1743         }
1744         return p;
1745 }
1746
1747 static __isl_give isl_printer *print_pw_qpolynomial_fold_c(
1748         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1749 {
1750         int i;
1751
1752         if (pwf->n == 1 && isl_set_fast_is_universe(pwf->p[0].set))
1753                 return print_qpolynomial_fold_c(p, pwf->p[0].fold);
1754
1755         for (i = 0; i < pwf->n; ++i) {
1756                 p = isl_printer_print_str(p, "(");
1757                 p = print_set_c(p, pwf->p[i].set);
1758                 p = isl_printer_print_str(p, ") ? (");
1759                 p = print_qpolynomial_fold_c(p, pwf->p[i].fold);
1760                 p = isl_printer_print_str(p, ") : ");
1761         }
1762
1763         p = isl_printer_print_str(p, "0");
1764         return p;
1765 }
1766
1767 __isl_give isl_printer *isl_printer_print_pw_qpolynomial_fold(
1768         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1769 {
1770         if (!p || !pwf)
1771                 goto error;
1772
1773         if (p->output_format == ISL_FORMAT_ISL)
1774                 return print_pw_qpolynomial_fold_isl(p, pwf);
1775         else if (p->output_format == ISL_FORMAT_C)
1776                 return print_pw_qpolynomial_fold_c(p, pwf);
1777         isl_assert(p->ctx, 0, goto error);
1778 error:
1779         isl_printer_free(p);
1780         return NULL;
1781 }
1782
1783 void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold *pwf,
1784         FILE *out, unsigned output_format)
1785 {
1786         isl_printer *p;
1787
1788         if (!pwf)
1789                 return;
1790
1791         p = isl_printer_to_file(pwf->dim->ctx, out);
1792         p = isl_printer_set_output_format(p, output_format);
1793         p = isl_printer_print_pw_qpolynomial_fold(p, pwf);
1794
1795         isl_printer_free(p);
1796 }
1797
1798 static int print_pwf_body(__isl_take isl_pw_qpolynomial_fold *pwf, void *user)
1799 {
1800         struct isl_union_print_data *data;
1801         data = (struct isl_union_print_data *)user;
1802
1803         if (!data->first)
1804                 data->p = isl_printer_print_str(data->p, "; ");
1805         data->first = 0;
1806
1807         data->p = isl_pwf_print_isl_body(data->p, pwf);
1808         isl_pw_qpolynomial_fold_free(pwf);
1809
1810         return 0;
1811 }
1812
1813 static __isl_give isl_printer *print_union_pw_qpolynomial_fold_isl(
1814         __isl_take isl_printer *p,
1815         __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1816 {
1817         struct isl_union_print_data data = { p, 1, 1 };
1818         isl_dim *dim;
1819         dim = isl_union_pw_qpolynomial_fold_get_dim(upwf);
1820         if (isl_dim_size(dim, isl_dim_param) > 0) {
1821                 p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
1822                 p = isl_printer_print_str(p, " -> ");
1823         }
1824         isl_dim_free(dim);
1825         p = isl_printer_print_str(p, "{ ");
1826         isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(upwf,
1827                                                         &print_pwf_body, &data);
1828         p = data.p;
1829         p = isl_printer_print_str(p, " }");
1830         return p;
1831 }
1832
1833 __isl_give isl_printer *isl_printer_print_union_pw_qpolynomial_fold(
1834         __isl_take isl_printer *p,
1835         __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1836 {
1837         if (!p || !upwf)
1838                 goto error;
1839
1840         if (p->output_format == ISL_FORMAT_ISL)
1841                 return print_union_pw_qpolynomial_fold_isl(p, upwf);
1842         isl_die(p->ctx, isl_error_invalid,
1843                 "invalid output format for isl_union_pw_qpolynomial_fold",
1844                 goto error);
1845 error:
1846         isl_printer_free(p);
1847         return NULL;
1848 }