isl_basic_map_solve_lp: use denominator
[platform/upstream/isl.git] / isl_input.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 <ctype.h>
14 #include <stdio.h>
15 #include <string.h>
16 #include <strings.h>
17 #include <isl/set.h>
18 #include <isl/seq.h>
19 #include <isl/div.h>
20 #include <isl/stream.h>
21 #include "isl_map_private.h"
22 #include <isl/obj.h>
23 #include "isl_polynomial_private.h"
24 #include <isl/union_map.h>
25 #include <isl_mat_private.h>
26
27 struct variable {
28         char                    *name;
29         int                      pos;
30         isl_vec                 *def;
31         struct variable         *next;
32 };
33
34 struct vars {
35         struct isl_ctx  *ctx;
36         int              n;
37         struct variable *v;
38 };
39
40 static struct vars *vars_new(struct isl_ctx *ctx)
41 {
42         struct vars *v;
43         v = isl_alloc_type(ctx, struct vars);
44         if (!v)
45                 return NULL;
46         v->ctx = ctx;
47         v->n = 0;
48         v->v = NULL;
49         return v;
50 }
51
52 static void variable_free(struct variable *var)
53 {
54         while (var) {
55                 struct variable *next = var->next;
56                 isl_vec_free(var->def);
57                 free(var->name);
58                 free(var);
59                 var = next;
60         }
61 }
62
63 static void vars_free(struct vars *v)
64 {
65         if (!v)
66                 return;
67         variable_free(v->v);
68         free(v);
69 }
70
71 static void vars_drop(struct vars *v, int n)
72 {
73         struct variable *var;
74
75         if (!v || !v->v)
76                 return;
77
78         v->n -= n;
79
80         var = v->v;
81         while (--n >= 0) {
82                 struct variable *next = var->next;
83                 isl_vec_free(var->def);
84                 free(var->name);
85                 free(var);
86                 var = next;
87         }
88         v->v = var;
89 }
90
91 static struct variable *variable_new(struct vars *v, const char *name, int len,
92                                 int pos)
93 {
94         struct variable *var;
95         var = isl_alloc_type(v->ctx, struct variable);
96         if (!var)
97                 goto error;
98         var->name = strdup(name);
99         var->name[len] = '\0';
100         var->pos = pos;
101         var->def = NULL;
102         var->next = v->v;
103         return var;
104 error:
105         variable_free(v->v);
106         return NULL;
107 }
108
109 static int vars_pos(struct vars *v, const char *s, int len)
110 {
111         int pos;
112         struct variable *q;
113
114         if (len == -1)
115                 len = strlen(s);
116         for (q = v->v; q; q = q->next) {
117                 if (strncmp(q->name, s, len) == 0 && q->name[len] == '\0')
118                         break;
119         }
120         if (q)
121                 pos = q->pos;
122         else {
123                 pos = v->n;
124                 v->v = variable_new(v, s, len, v->n);
125                 if (!v->v)
126                         return -1;
127                 v->n++;
128         }
129         return pos;
130 }
131
132 static int vars_add_anon(struct vars *v)
133 {
134         v->v = variable_new(v, "", 0, v->n);
135
136         if (!v->v)
137                 return -1;
138         v->n++;
139
140         return 0;
141 }
142
143 static __isl_give isl_basic_map *set_name(__isl_take isl_basic_map *bmap,
144         enum isl_dim_type type, unsigned pos, char *name)
145 {
146         char *prime;
147
148         if (!bmap)
149                 return NULL;
150         if (!name)
151                 return bmap;
152
153         prime = strchr(name, '\'');
154         if (prime)
155                 *prime = '\0';
156         bmap = isl_basic_map_set_dim_name(bmap, type, pos, name);
157         if (prime)
158                 *prime = '\'';
159
160         return bmap;
161 }
162
163 static int accept_cst_factor(struct isl_stream *s, isl_int *f)
164 {
165         struct isl_token *tok;
166
167         tok = isl_stream_next_token(s);
168         if (!tok || tok->type != ISL_TOKEN_VALUE) {
169                 isl_stream_error(s, tok, "expecting constant value");
170                 goto error;
171         }
172
173         isl_int_mul(*f, *f, tok->u.v);
174
175         isl_token_free(tok);
176
177         if (isl_stream_eat_if_available(s, '*'))
178                 return accept_cst_factor(s, f);
179
180         return 0;
181 error:
182         isl_token_free(tok);
183         return -1;
184 }
185
186 static struct isl_vec *accept_affine(struct isl_stream *s, struct vars *v);
187 static int read_div_definition(struct isl_stream *s, struct vars *v);
188
189 static __isl_give isl_vec *accept_affine_factor(struct isl_stream *s,
190         struct vars *v)
191 {
192         struct isl_token *tok = NULL;
193         isl_vec *aff = NULL;
194
195         tok = isl_stream_next_token(s);
196         if (!tok) {
197                 isl_stream_error(s, NULL, "unexpected EOF");
198                 goto error;
199         }
200         if (tok->type == ISL_TOKEN_IDENT) {
201                 int n = v->n;
202                 int pos = vars_pos(v, tok->u.s, -1);
203                 if (pos < 0)
204                         goto error;
205                 if (pos >= n) {
206                         isl_stream_error(s, tok, "unknown identifier");
207                         goto error;
208                 }
209
210                 aff = isl_vec_alloc(v->ctx, 1 + v->n);
211                 if (!aff)
212                         goto error;
213                 isl_seq_clr(aff->el, aff->size);
214                 isl_int_set_si(aff->el[1 + pos], 1);
215                 isl_token_free(tok);
216         } else if (tok->type == ISL_TOKEN_VALUE) {
217                 if (isl_stream_eat_if_available(s, '*')) {
218                         aff = accept_affine_factor(s, v);
219                         aff = isl_vec_scale(aff, tok->u.v);
220                 } else {
221                         aff = isl_vec_alloc(v->ctx, 1 + v->n);
222                         if (!aff)
223                                 goto error;
224                         isl_seq_clr(aff->el, aff->size);
225                         isl_int_set(aff->el[0], tok->u.v);
226                 }
227                 isl_token_free(tok);
228         } else if (tok->type == '(') {
229                 isl_token_free(tok);
230                 tok = NULL;
231                 aff = accept_affine(s, v);
232                 if (!aff)
233                         goto error;
234                 if (isl_stream_eat(s, ')'))
235                         goto error;
236         } else if (tok->type == '[') {
237                 if (vars_add_anon(v) < 0)
238                         goto error;
239                 aff = isl_vec_alloc(v->ctx, 1 + v->n);
240                 if (!aff)
241                         goto error;
242                 isl_seq_clr(aff->el, aff->size);
243                 isl_int_set_si(aff->el[1 + v->n - 1], 1);
244                 isl_stream_push_token(s, tok);
245                 tok = NULL;
246                 if (read_div_definition(s, v) < 0)
247                         goto error;
248         } else {
249                 isl_stream_error(s, tok, "expecting factor");
250                 goto error;
251         }
252         if (isl_stream_eat_if_available(s, '*')) {
253                 isl_int f;
254                 isl_int_init(f);
255                 isl_int_set_si(f, 1);
256                 if (accept_cst_factor(s, &f) < 0) {
257                         isl_int_clear(f);
258                         goto error;
259                 }
260                 aff = isl_vec_scale(aff, f);
261                 isl_int_clear(f);
262         }
263
264         return aff;
265 error:
266         isl_token_free(tok);
267         isl_vec_free(aff);
268         return NULL;
269 }
270
271 static struct isl_vec *accept_affine(struct isl_stream *s, struct vars *v)
272 {
273         struct isl_token *tok = NULL;
274         struct isl_vec *aff;
275         int sign = 1;
276
277         aff = isl_vec_alloc(v->ctx, 1 + v->n);
278         if (!aff)
279                 return NULL;
280         isl_seq_clr(aff->el, aff->size);
281
282         for (;;) {
283                 tok = isl_stream_next_token(s);
284                 if (!tok) {
285                         isl_stream_error(s, NULL, "unexpected EOF");
286                         goto error;
287                 }
288                 if (tok->type == '-') {
289                         sign = -sign;
290                         isl_token_free(tok);
291                         continue;
292                 }
293                 if (tok->type == '(' || tok->type == '[' ||
294                     tok->type == ISL_TOKEN_IDENT) {
295                         isl_vec *aff2;
296                         isl_stream_push_token(s, tok);
297                         tok = NULL;
298                         aff2 = accept_affine_factor(s, v);
299                         if (sign < 0)
300                                 aff2 = isl_vec_scale(aff2, s->ctx->negone);
301                         aff = isl_vec_zero_extend(aff, 1 + v->n);
302                         aff = isl_vec_add(aff, aff2);
303                         if (!aff)
304                                 goto error;
305                         sign = 1;
306                 } else if (tok->type == ISL_TOKEN_VALUE) {
307                         if (sign < 0)
308                                 isl_int_neg(tok->u.v, tok->u.v);
309                         if (isl_stream_eat_if_available(s, '*') ||
310                             isl_stream_next_token_is(s, ISL_TOKEN_IDENT)) {
311                                 isl_vec *aff2;
312                                 aff2 = accept_affine_factor(s, v);
313                                 aff2 = isl_vec_scale(aff2, tok->u.v);
314                                 aff = isl_vec_zero_extend(aff, 1 + v->n);
315                                 aff = isl_vec_add(aff, aff2);
316                                 if (!aff)
317                                         goto error;
318                         } else {
319                                 isl_int_add(aff->el[0], aff->el[0], tok->u.v);
320                         }
321                         sign = 1;
322                 } else {
323                         isl_stream_error(s, tok, "unexpected isl_token");
324                         isl_stream_push_token(s, tok);
325                         isl_vec_free(aff);
326                         return NULL;
327                 }
328                 isl_token_free(tok);
329
330                 tok = isl_stream_next_token(s);
331                 if (tok && tok->type == '-') {
332                         sign = -sign;
333                         isl_token_free(tok);
334                 } else if (tok && tok->type == '+') {
335                         /* nothing */
336                         isl_token_free(tok);
337                 } else if (tok && tok->type == ISL_TOKEN_VALUE &&
338                            isl_int_is_neg(tok->u.v)) {
339                         isl_stream_push_token(s, tok);
340                 } else {
341                         if (tok)
342                                 isl_stream_push_token(s, tok);
343                         break;
344                 }
345         }
346
347         return aff;
348 error:
349         isl_token_free(tok);
350         isl_vec_free(aff);
351         return NULL;
352 }
353
354 /* Add any variables in the variable list "v" that are not already in "bmap"
355  * as existentially quantified variables in "bmap".
356  */
357 static __isl_give isl_basic_map *add_divs(__isl_take isl_basic_map *bmap,
358         struct vars *v)
359 {
360         int i;
361         int extra;
362         struct variable *var;
363
364         extra = v->n - isl_basic_map_total_dim(bmap);
365
366         if (extra == 0)
367                 return bmap;
368
369         bmap = isl_basic_map_extend_dim(bmap, isl_basic_map_get_dim(bmap),
370                                         extra, 0, 2 * extra);
371
372         for (i = 0; i < extra; ++i)
373                 if (isl_basic_map_alloc_div(bmap) < 0)
374                         goto error;
375
376         for (i = 0, var = v->v; i < extra; ++i, var = var->next) {
377                 int k = bmap->n_div - 1 - i;
378
379                 isl_seq_cpy(bmap->div[k], var->def->el, var->def->size);
380                 isl_seq_clr(bmap->div[k] + var->def->size,
381                             2 + v->n - var->def->size);
382
383                 if (isl_basic_map_add_div_constraints(bmap, k) < 0)
384                         goto error;
385         }
386
387         return bmap;
388 error:
389         isl_basic_map_free(bmap);
390         return NULL;
391 }
392
393 static __isl_give isl_basic_map *read_var_def(struct isl_stream *s,
394         __isl_take isl_basic_map *bmap, enum isl_dim_type type, struct vars *v)
395 {
396         isl_dim *dim;
397         isl_basic_map *def = NULL;
398         struct isl_vec *vec;
399         int k;
400         int n;
401
402         if (vars_add_anon(v) < 0)
403                 goto error;
404         n = v->n;
405
406         vec = accept_affine(s, v);
407         if (!vec)
408                 goto error;
409
410         dim = isl_basic_map_get_dim(bmap);
411         def = isl_basic_map_universe(dim);
412         def = add_divs(def, v);
413         def = isl_basic_map_extend_constraints(def, 1, 0);
414         k = isl_basic_map_alloc_equality(def);
415         if (k >= 0) {
416                 isl_seq_cpy(def->eq[k], vec->el, vec->size);
417                 isl_int_set_si(def->eq[k][1 + n - 1], -1);
418         }
419         isl_vec_free(vec);
420         if (k < 0)
421                 goto error;
422
423         vars_drop(v, v->n - n);
424
425         def = isl_basic_map_simplify(def);
426         def = isl_basic_map_finalize(def);
427         bmap = isl_basic_map_intersect(bmap, def);
428         return bmap;
429 error:
430         isl_basic_map_free(bmap);
431         isl_basic_map_free(def);
432         return NULL;
433 }
434
435 static __isl_give isl_basic_map *read_var_list(struct isl_stream *s,
436         __isl_take isl_basic_map *bmap, enum isl_dim_type type, struct vars *v)
437 {
438         int i = 0;
439         struct isl_token *tok;
440
441         while ((tok = isl_stream_next_token(s)) != NULL) {
442                 int new_name = 0;
443
444                 if (tok->type == ISL_TOKEN_IDENT) {
445                         int n = v->n;
446                         int p = vars_pos(v, tok->u.s, -1);
447                         if (p < 0)
448                                 goto error;
449                         new_name = p >= n;
450                 }
451
452                 if (new_name) {
453                         bmap = isl_basic_map_add(bmap, type, 1);
454                         bmap = set_name(bmap, type, i, v->v->name);
455                         isl_token_free(tok);
456                 } else if (tok->type == ISL_TOKEN_IDENT ||
457                            tok->type == ISL_TOKEN_VALUE ||
458                            tok->type == '-' ||
459                            tok->type == '(') {
460                         if (type == isl_dim_param) {
461                                 isl_stream_error(s, tok,
462                                                 "expecting unique identifier");
463                                 goto error;
464                         }
465                         isl_stream_push_token(s, tok);
466                         tok = NULL;
467                         bmap = isl_basic_map_add(bmap, type, 1);
468                         bmap = read_var_def(s, bmap, type, v);
469                 } else
470                         break;
471
472                 tok = isl_stream_next_token(s);
473                 if (!tok || tok->type != ',')
474                         break;
475
476                 isl_token_free(tok);
477                 i++;
478         }
479         if (tok)
480                 isl_stream_push_token(s, tok);
481
482         return bmap;
483 error:
484         isl_token_free(tok);
485         isl_basic_map_free(bmap);
486         return NULL;
487 }
488
489 static __isl_give isl_mat *accept_affine_list(struct isl_stream *s,
490         struct vars *v)
491 {
492         struct isl_vec *vec;
493         struct isl_mat *mat;
494         struct isl_token *tok = NULL;
495
496         vec = accept_affine(s, v);
497         mat = isl_mat_from_row_vec(vec);
498         if (!mat)
499                 return NULL;
500
501         for (;;) {
502                 tok = isl_stream_next_token(s);
503                 if (!tok) {
504                         isl_stream_error(s, NULL, "unexpected EOF");
505                         goto error;
506                 }
507                 if (tok->type != ',') {
508                         isl_stream_push_token(s, tok);
509                         break;
510                 }
511                 isl_token_free(tok);
512
513                 vec = accept_affine(s, v);
514                 mat = isl_mat_add_zero_cols(mat, 1 + v->n - isl_mat_cols(mat));
515                 mat = isl_mat_vec_concat(mat, vec);
516                 if (!mat)
517                         return NULL;
518         }
519
520         return mat;
521 error:
522         isl_mat_free(mat);
523         return NULL;
524 }
525
526 static int read_div_definition(struct isl_stream *s, struct vars *v)
527 {
528         struct isl_token *tok;
529         int seen_paren = 0;
530         struct isl_vec *aff;
531         struct variable *var;
532
533         if (isl_stream_eat(s, '['))
534                 return -1;
535
536         tok = isl_stream_next_token(s);
537         if (!tok)
538                 return -1;
539         if (tok->type == '(') {
540                 seen_paren = 1;
541                 isl_token_free(tok);
542         } else
543                 isl_stream_push_token(s, tok);
544
545         var = v->v;
546
547         aff = accept_affine(s, v);
548         if (!aff)
549                 return -1;
550
551         var->def = isl_vec_alloc(s->ctx, 2 + v->n);
552         if (!var->def) {
553                 isl_vec_free(aff);
554                 return -1;
555         }
556
557         isl_seq_cpy(var->def->el + 1, aff->el, aff->size);
558
559         isl_vec_free(aff);
560
561         if (seen_paren && isl_stream_eat(s, ')'))
562                 return -1;
563         if (isl_stream_eat(s, '/'))
564                 return -1;
565
566         tok = isl_stream_next_token(s);
567         if (!tok)
568                 return -1;
569         if (tok->type != ISL_TOKEN_VALUE) {
570                 isl_stream_error(s, tok, "expected denominator");
571                 isl_stream_push_token(s, tok);
572                 return -1;
573         }
574         isl_int_set(var->def->el[0], tok->u.v);
575         isl_token_free(tok);
576
577         if (isl_stream_eat(s, ']'))
578                 return -1;
579
580         return 0;
581 }
582
583 static struct isl_basic_map *add_div_definition(struct isl_stream *s,
584         struct vars *v, struct isl_basic_map *bmap, int k)
585 {
586         struct variable *var = v->v;
587
588         if (read_div_definition(s, v) < 0)
589                 goto error;
590
591         isl_seq_cpy(bmap->div[k], var->def->el, 2 + v->n);
592
593         if (isl_basic_map_add_div_constraints(bmap, k) < 0)
594                 goto error;
595
596         return bmap;
597 error:
598         isl_basic_map_free(bmap);
599         return NULL;
600 }
601
602 static struct isl_basic_map *read_defined_var_list(struct isl_stream *s,
603         struct vars *v, struct isl_basic_map *bmap)
604 {
605         struct isl_token *tok;
606
607         while ((tok = isl_stream_next_token(s)) != NULL) {
608                 int k;
609                 int p;
610                 int n = v->n;
611                 unsigned total = isl_basic_map_total_dim(bmap);
612
613                 if (tok->type != ISL_TOKEN_IDENT)
614                         break;
615
616                 p = vars_pos(v, tok->u.s, -1);
617                 if (p < 0)
618                         goto error;
619                 if (p < n) {
620                         isl_stream_error(s, tok, "expecting unique identifier");
621                         goto error;
622                 }
623
624                 bmap = isl_basic_map_cow(bmap);
625                 bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
626                                                 1, 0, 2);
627
628                 if ((k = isl_basic_map_alloc_div(bmap)) < 0)
629                         goto error;
630                 isl_seq_clr(bmap->div[k], 1 + 1 + total);
631
632                 isl_token_free(tok);
633                 tok = isl_stream_next_token(s);
634                 if (tok && tok->type == '=') {
635                         isl_token_free(tok);
636                         bmap = add_div_definition(s, v, bmap, k);
637                         tok = isl_stream_next_token(s);
638                 }
639
640                 if (!tok || tok->type != ',')
641                         break;
642
643                 isl_token_free(tok);
644         }
645         if (tok)
646                 isl_stream_push_token(s, tok);
647
648         return bmap;
649 error:
650         isl_token_free(tok);
651         isl_basic_map_free(bmap);
652         return NULL;
653 }
654
655 static int next_is_tuple(struct isl_stream *s)
656 {
657         struct isl_token *tok;
658         int is_tuple;
659
660         tok = isl_stream_next_token(s);
661         if (!tok)
662                 return 0;
663         if (tok->type == '[') {
664                 isl_stream_push_token(s, tok);
665                 return 1;
666         }
667         if (tok->type != ISL_TOKEN_IDENT) {
668                 isl_stream_push_token(s, tok);
669                 return 0;
670         }
671
672         is_tuple = isl_stream_next_token_is(s, '[');
673
674         isl_stream_push_token(s, tok);
675
676         return is_tuple;
677 }
678
679 static __isl_give isl_basic_map *read_tuple(struct isl_stream *s,
680         __isl_take isl_basic_map *bmap, enum isl_dim_type type, struct vars *v);
681
682 static __isl_give isl_basic_map *read_nested_tuple(struct isl_stream *s,
683         __isl_take isl_basic_map *bmap, struct vars *v)
684 {
685         bmap = read_tuple(s, bmap, isl_dim_in, v);
686         if (isl_stream_eat(s, ISL_TOKEN_TO))
687                 goto error;
688         bmap = read_tuple(s, bmap, isl_dim_out, v);
689         bmap = isl_basic_map_from_range(isl_basic_map_wrap(bmap));
690         return bmap;
691 error:
692         isl_basic_map_free(bmap);
693         return NULL;
694 }
695
696 static __isl_give isl_basic_map *read_tuple(struct isl_stream *s,
697         __isl_take isl_basic_map *bmap, enum isl_dim_type type, struct vars *v)
698 {
699         struct isl_token *tok;
700         char *name = NULL;
701
702         tok = isl_stream_next_token(s);
703         if (tok && tok->type == ISL_TOKEN_IDENT) {
704                 name = strdup(tok->u.s);
705                 if (!name)
706                         goto error;
707                 isl_token_free(tok);
708                 tok = isl_stream_next_token(s);
709         }
710         if (!tok || tok->type != '[') {
711                 isl_stream_error(s, tok, "expecting '['");
712                 goto error;
713         }
714         isl_token_free(tok);
715         if (type != isl_dim_param && next_is_tuple(s)) {
716                 isl_dim *dim = isl_basic_map_get_dim(bmap);
717                 int nparam = isl_dim_size(dim, isl_dim_param);
718                 int n_in = isl_dim_size(dim, isl_dim_in);
719                 isl_basic_map *nested;
720                 if (type == isl_dim_out)
721                         dim = isl_dim_move(dim, isl_dim_param, nparam,
722                                                 isl_dim_in, 0, n_in);
723                 nested = isl_basic_map_alloc_dim(dim, 0, 0, 0);
724                 nested = read_nested_tuple(s, nested, v);
725                 if (type == isl_dim_in) {
726                         nested = isl_basic_map_reverse(nested);
727                         bmap = isl_basic_map_intersect(nested, bmap);
728                 } else {
729                         isl_basic_set *bset;
730                         dim = isl_dim_range(isl_basic_map_get_dim(nested));
731                         dim = isl_dim_drop(dim, isl_dim_param, nparam, n_in);
732                         dim = isl_dim_join(isl_basic_map_get_dim(bmap), dim);
733                         bset = isl_basic_map_domain(bmap);
734                         nested = isl_basic_map_reset_dim(nested, dim);
735                         bmap = isl_basic_map_intersect_domain(nested, bset);
736                 }
737         } else
738                 bmap = read_var_list(s, bmap, type, v);
739         tok = isl_stream_next_token(s);
740         if (!tok || tok->type != ']') {
741                 isl_stream_error(s, tok, "expecting ']'");
742                 goto error;
743         }
744         isl_token_free(tok);
745
746         if (name) {
747                 bmap = isl_basic_map_set_tuple_name(bmap, type, name);
748                 free(name);
749         }
750
751         return bmap;
752 error:
753         if (tok)
754                 isl_token_free(tok);
755         isl_basic_map_free(bmap);
756         return NULL;
757 }
758
759 static struct isl_basic_map *add_constraints(struct isl_stream *s,
760         struct vars *v, struct isl_basic_map *bmap);
761
762 static struct isl_basic_map *add_exists(struct isl_stream *s,
763         struct vars *v, struct isl_basic_map *bmap)
764 {
765         struct isl_token *tok;
766         int n = v->n;
767         int extra;
768         int seen_paren = 0;
769         int i;
770         unsigned total;
771
772         tok = isl_stream_next_token(s);
773         if (!tok)
774                 goto error;
775         if (tok->type == '(') {
776                 seen_paren = 1;
777                 isl_token_free(tok);
778         } else
779                 isl_stream_push_token(s, tok);
780
781         bmap = read_defined_var_list(s, v, bmap);
782         if (!bmap)
783                 goto error;
784
785         if (isl_stream_eat(s, ':'))
786                 goto error;
787         bmap = add_constraints(s, v, bmap);
788         if (seen_paren && isl_stream_eat(s, ')'))
789                 goto error;
790         return bmap;
791 error:
792         isl_basic_map_free(bmap);
793         return NULL;
794 }
795
796 static __isl_give isl_basic_map *construct_constraint(
797         __isl_take isl_basic_map *bmap, enum isl_token_type type,
798         isl_int *left, isl_int *right)
799 {
800         int k;
801         unsigned len;
802         struct isl_ctx *ctx;
803
804         if (!bmap)
805                 return NULL;
806         len = 1 + isl_basic_map_total_dim(bmap);
807         ctx = bmap->ctx;
808
809         k = isl_basic_map_alloc_inequality(bmap);
810         if (k < 0)
811                 goto error;
812         if (type == ISL_TOKEN_LE)
813                 isl_seq_combine(bmap->ineq[k], ctx->negone, left,
814                                                ctx->one, right,
815                                                len);
816         else if (type == ISL_TOKEN_GE)
817                 isl_seq_combine(bmap->ineq[k], ctx->one, left,
818                                                ctx->negone, right,
819                                                len);
820         else if (type == ISL_TOKEN_LT) {
821                 isl_seq_combine(bmap->ineq[k], ctx->negone, left,
822                                                ctx->one, right,
823                                                len);
824                 isl_int_sub_ui(bmap->ineq[k][0], bmap->ineq[k][0], 1);
825         } else if (type == ISL_TOKEN_GT) {
826                 isl_seq_combine(bmap->ineq[k], ctx->one, left,
827                                                ctx->negone, right,
828                                                len);
829                 isl_int_sub_ui(bmap->ineq[k][0], bmap->ineq[k][0], 1);
830         } else {
831                 isl_seq_combine(bmap->ineq[k], ctx->one, left,
832                                                ctx->negone, right,
833                                                len);
834                 isl_basic_map_inequality_to_equality(bmap, k);
835         }
836
837         return bmap;
838 error:
839         isl_basic_map_free(bmap);
840         return NULL;
841 }
842
843 static int is_comparator(struct isl_token *tok)
844 {
845         if (!tok)
846                 return 0;
847
848         switch (tok->type) {
849         case ISL_TOKEN_LT:
850         case ISL_TOKEN_GT:
851         case ISL_TOKEN_LE:
852         case ISL_TOKEN_GE:
853         case '=':
854                 return 1;
855         default:
856                 return 0;
857         }
858 }
859
860 static struct isl_basic_map *add_constraint(struct isl_stream *s,
861         struct vars *v, struct isl_basic_map *bmap)
862 {
863         int i, j;
864         struct isl_token *tok = NULL;
865         struct isl_mat *aff1 = NULL, *aff2 = NULL;
866
867         tok = isl_stream_next_token(s);
868         if (!tok)
869                 goto error;
870         if (tok->type == ISL_TOKEN_EXISTS) {
871                 isl_token_free(tok);
872                 return add_exists(s, v, bmap);
873         }
874         isl_stream_push_token(s, tok);
875         tok = NULL;
876
877         bmap = isl_basic_map_cow(bmap);
878
879         aff1 = accept_affine_list(s, v);
880         if (!aff1)
881                 goto error;
882         tok = isl_stream_next_token(s);
883         if (!is_comparator(tok)) {
884                 isl_stream_error(s, tok, "missing operator");
885                 if (tok)
886                         isl_stream_push_token(s, tok);
887                 tok = NULL;
888                 goto error;
889         }
890         for (;;) {
891                 aff2 = accept_affine_list(s, v);
892                 if (!aff2)
893                         goto error;
894
895                 aff1 = isl_mat_add_zero_cols(aff1, aff2->n_col - aff1->n_col);
896                 if (!aff1)
897                         goto error;
898                 bmap = add_divs(bmap, v);
899                 bmap = isl_basic_map_extend_constraints(bmap, 0,
900                                                 aff1->n_row * aff2->n_row);
901                 for (i = 0; i < aff1->n_row; ++i)
902                         for (j = 0; j < aff2->n_row; ++j)
903                                 bmap = construct_constraint(bmap, tok->type,
904                                                     aff1->row[i], aff2->row[j]);
905                 isl_token_free(tok);
906                 isl_mat_free(aff1);
907                 aff1 = aff2;
908
909                 tok = isl_stream_next_token(s);
910                 if (!is_comparator(tok)) {
911                         if (tok)
912                                 isl_stream_push_token(s, tok);
913                         break;
914                 }
915         }
916         isl_mat_free(aff1);
917
918         return bmap;
919 error:
920         if (tok)
921                 isl_token_free(tok);
922         isl_mat_free(aff1);
923         isl_mat_free(aff2);
924         isl_basic_map_free(bmap);
925         return NULL;
926 }
927
928 static struct isl_basic_map *add_constraints(struct isl_stream *s,
929         struct vars *v, struct isl_basic_map *bmap)
930 {
931         struct isl_token *tok;
932
933         for (;;) {
934                 bmap = add_constraint(s, v, bmap);
935                 if (!bmap)
936                         return NULL;
937                 tok = isl_stream_next_token(s);
938                 if (!tok) {
939                         isl_stream_error(s, NULL, "unexpected EOF");
940                         goto error;
941                 }
942                 if (tok->type != ISL_TOKEN_AND)
943                         break;
944                 isl_token_free(tok);
945         }
946         isl_stream_push_token(s, tok);
947
948         return bmap;
949 error:
950         if (tok)
951                 isl_token_free(tok);
952         isl_basic_map_free(bmap);
953         return NULL;
954 }
955
956 static struct isl_basic_map *read_disjunct(struct isl_stream *s,
957         struct vars *v, __isl_take isl_dim *dim)
958 {
959         int seen_paren = 0;
960         struct isl_token *tok;
961         struct isl_basic_map *bmap;
962
963         bmap = isl_basic_map_alloc_dim(dim, 0, 0, 0);
964         if (!bmap)
965                 return NULL;
966
967         tok = isl_stream_next_token(s);
968         if (!tok)
969                 goto error;
970         if (tok->type == '(') {
971                 seen_paren = 1;
972                 isl_token_free(tok);
973         } else
974                 isl_stream_push_token(s, tok);
975
976         bmap = add_constraints(s, v, bmap);
977         bmap = isl_basic_map_simplify(bmap);
978         bmap = isl_basic_map_finalize(bmap);
979
980         if (seen_paren && isl_stream_eat(s, ')'))
981                 goto error;
982
983         return bmap;
984 error:
985         isl_basic_map_free(bmap);
986         return NULL;
987 }
988
989 static struct isl_map *read_disjuncts(struct isl_stream *s,
990         struct vars *v, __isl_take isl_dim *dim)
991 {
992         struct isl_token *tok;
993         struct isl_map *map;
994
995         tok = isl_stream_next_token(s);
996         if (!tok) {
997                 isl_stream_error(s, NULL, "unexpected EOF");
998                 goto error;
999         }
1000         if (tok->type == '}') {
1001                 isl_stream_push_token(s, tok);
1002                 return isl_map_universe(dim);
1003         }
1004         isl_stream_push_token(s, tok);
1005
1006         map = isl_map_empty(isl_dim_copy(dim));
1007         for (;;) {
1008                 struct isl_basic_map *bmap;
1009                 int n = v->n;
1010
1011                 bmap = read_disjunct(s, v, isl_dim_copy(dim));
1012                 map = isl_map_union(map, isl_map_from_basic_map(bmap));
1013
1014                 vars_drop(v, v->n - n);
1015
1016                 tok = isl_stream_next_token(s);
1017                 if (!tok || tok->type != ISL_TOKEN_OR)
1018                         break;
1019                 isl_token_free(tok);
1020         }
1021         if (tok)
1022                 isl_stream_push_token(s, tok);
1023
1024         isl_dim_free(dim);
1025         return map;
1026 error:
1027         isl_dim_free(dim);
1028         return NULL;
1029 }
1030
1031 static int polylib_pos_to_isl_pos(__isl_keep isl_basic_map *bmap, int pos)
1032 {
1033         if (pos < isl_basic_map_dim(bmap, isl_dim_out))
1034                 return 1 + isl_basic_map_dim(bmap, isl_dim_param) +
1035                            isl_basic_map_dim(bmap, isl_dim_in) + pos;
1036         pos -= isl_basic_map_dim(bmap, isl_dim_out);
1037
1038         if (pos < isl_basic_map_dim(bmap, isl_dim_in))
1039                 return 1 + isl_basic_map_dim(bmap, isl_dim_param) + pos;
1040         pos -= isl_basic_map_dim(bmap, isl_dim_in);
1041
1042         if (pos < isl_basic_map_dim(bmap, isl_dim_div))
1043                 return 1 + isl_basic_map_dim(bmap, isl_dim_param) +
1044                            isl_basic_map_dim(bmap, isl_dim_in) +
1045                            isl_basic_map_dim(bmap, isl_dim_out) + pos;
1046         pos -= isl_basic_map_dim(bmap, isl_dim_div);
1047
1048         if (pos < isl_basic_map_dim(bmap, isl_dim_param))
1049                 return 1 + pos;
1050
1051         return 0;
1052 }
1053
1054 static __isl_give isl_basic_map *basic_map_read_polylib_constraint(
1055         struct isl_stream *s, __isl_take isl_basic_map *bmap)
1056 {
1057         int j;
1058         struct isl_token *tok;
1059         int type;
1060         int k;
1061         isl_int *c;
1062         unsigned nparam;
1063         unsigned dim;
1064
1065         if (!bmap)
1066                 return NULL;
1067
1068         nparam = isl_basic_map_dim(bmap, isl_dim_param);
1069         dim = isl_basic_map_dim(bmap, isl_dim_out);
1070
1071         tok = isl_stream_next_token(s);
1072         if (!tok || tok->type != ISL_TOKEN_VALUE) {
1073                 isl_stream_error(s, tok, "expecting coefficient");
1074                 if (tok)
1075                         isl_stream_push_token(s, tok);
1076                 goto error;
1077         }
1078         if (!tok->on_new_line) {
1079                 isl_stream_error(s, tok, "coefficient should appear on new line");
1080                 isl_stream_push_token(s, tok);
1081                 goto error;
1082         }
1083
1084         type = isl_int_get_si(tok->u.v);
1085         isl_token_free(tok);
1086
1087         isl_assert(s->ctx, type == 0 || type == 1, goto error);
1088         if (type == 0) {
1089                 k = isl_basic_map_alloc_equality(bmap);
1090                 c = bmap->eq[k];
1091         } else {
1092                 k = isl_basic_map_alloc_inequality(bmap);
1093                 c = bmap->ineq[k];
1094         }
1095         if (k < 0)
1096                 goto error;
1097
1098         for (j = 0; j < 1 + isl_basic_map_total_dim(bmap); ++j) {
1099                 int pos;
1100                 tok = isl_stream_next_token(s);
1101                 if (!tok || tok->type != ISL_TOKEN_VALUE) {
1102                         isl_stream_error(s, tok, "expecting coefficient");
1103                         if (tok)
1104                                 isl_stream_push_token(s, tok);
1105                         goto error;
1106                 }
1107                 if (tok->on_new_line) {
1108                         isl_stream_error(s, tok,
1109                                 "coefficient should not appear on new line");
1110                         isl_stream_push_token(s, tok);
1111                         goto error;
1112                 }
1113                 pos = polylib_pos_to_isl_pos(bmap, j);
1114                 isl_int_set(c[pos], tok->u.v);
1115                 isl_token_free(tok);
1116         }
1117
1118         return bmap;
1119 error:
1120         isl_basic_map_free(bmap);
1121         return NULL;
1122 }
1123
1124 static __isl_give isl_basic_map *basic_map_read_polylib(struct isl_stream *s,
1125         int nparam)
1126 {
1127         int i;
1128         struct isl_token *tok;
1129         struct isl_token *tok2;
1130         int n_row, n_col;
1131         int on_new_line;
1132         unsigned in = 0, out, local = 0;
1133         struct isl_basic_map *bmap = NULL;
1134
1135         if (nparam < 0)
1136                 nparam = 0;
1137
1138         tok = isl_stream_next_token(s);
1139         if (!tok) {
1140                 isl_stream_error(s, NULL, "unexpected EOF");
1141                 return NULL;
1142         }
1143         tok2 = isl_stream_next_token(s);
1144         if (!tok2) {
1145                 isl_token_free(tok);
1146                 isl_stream_error(s, NULL, "unexpected EOF");
1147                 return NULL;
1148         }
1149         if (tok->type != ISL_TOKEN_VALUE || tok2->type != ISL_TOKEN_VALUE) {
1150                 isl_stream_push_token(s, tok2);
1151                 isl_stream_push_token(s, tok);
1152                 isl_stream_error(s, NULL,
1153                                  "expecting constraint matrix dimensions");
1154                 return NULL;
1155         }
1156         n_row = isl_int_get_si(tok->u.v);
1157         n_col = isl_int_get_si(tok2->u.v);
1158         on_new_line = tok2->on_new_line;
1159         isl_token_free(tok2);
1160         isl_token_free(tok);
1161         isl_assert(s->ctx, !on_new_line, return NULL);
1162         isl_assert(s->ctx, n_row >= 0, return NULL);
1163         isl_assert(s->ctx, n_col >= 2 + nparam, return NULL);
1164         tok = isl_stream_next_token_on_same_line(s);
1165         if (tok) {
1166                 if (tok->type != ISL_TOKEN_VALUE) {
1167                         isl_stream_error(s, tok,
1168                                     "expecting number of output dimensions");
1169                         isl_stream_push_token(s, tok);
1170                         goto error;
1171                 }
1172                 out = isl_int_get_si(tok->u.v);
1173                 isl_token_free(tok);
1174
1175                 tok = isl_stream_next_token_on_same_line(s);
1176                 if (!tok || tok->type != ISL_TOKEN_VALUE) {
1177                         isl_stream_error(s, tok,
1178                                     "expecting number of input dimensions");
1179                         if (tok)
1180                                 isl_stream_push_token(s, tok);
1181                         goto error;
1182                 }
1183                 in = isl_int_get_si(tok->u.v);
1184                 isl_token_free(tok);
1185
1186                 tok = isl_stream_next_token_on_same_line(s);
1187                 if (!tok || tok->type != ISL_TOKEN_VALUE) {
1188                         isl_stream_error(s, tok,
1189                                     "expecting number of existentials");
1190                         if (tok)
1191                                 isl_stream_push_token(s, tok);
1192                         goto error;
1193                 }
1194                 local = isl_int_get_si(tok->u.v);
1195                 isl_token_free(tok);
1196
1197                 tok = isl_stream_next_token_on_same_line(s);
1198                 if (!tok || tok->type != ISL_TOKEN_VALUE) {
1199                         isl_stream_error(s, tok,
1200                                     "expecting number of parameters");
1201                         if (tok)
1202                                 isl_stream_push_token(s, tok);
1203                         goto error;
1204                 }
1205                 nparam = isl_int_get_si(tok->u.v);
1206                 isl_token_free(tok);
1207                 if (n_col != 1 + out + in + local + nparam + 1) {
1208                         isl_stream_error(s, NULL,
1209                                     "dimensions don't match");
1210                         goto error;
1211                 }
1212         } else
1213                 out = n_col - 2 - nparam;
1214         bmap = isl_basic_map_alloc(s->ctx, nparam, in, out, local, n_row, n_row);
1215         if (!bmap)
1216                 return NULL;
1217
1218         for (i = 0; i < local; ++i) {
1219                 int k = isl_basic_map_alloc_div(bmap);
1220                 if (k < 0)
1221                         goto error;
1222                 isl_seq_clr(bmap->div[k], 1 + 1 + nparam + in + out + local);
1223         }
1224
1225         for (i = 0; i < n_row; ++i)
1226                 bmap = basic_map_read_polylib_constraint(s, bmap);
1227
1228         tok = isl_stream_next_token_on_same_line(s);
1229         if (tok) {
1230                 isl_stream_error(s, tok, "unexpected extra token on line");
1231                 isl_stream_push_token(s, tok);
1232                 goto error;
1233         }
1234
1235         bmap = isl_basic_map_simplify(bmap);
1236         bmap = isl_basic_map_finalize(bmap);
1237         return bmap;
1238 error:
1239         isl_basic_map_free(bmap);
1240         return NULL;
1241 }
1242
1243 static struct isl_map *map_read_polylib(struct isl_stream *s, int nparam)
1244 {
1245         struct isl_token *tok;
1246         struct isl_token *tok2;
1247         int i, n;
1248         struct isl_map *map;
1249
1250         tok = isl_stream_next_token(s);
1251         if (!tok) {
1252                 isl_stream_error(s, NULL, "unexpected EOF");
1253                 return NULL;
1254         }
1255         tok2 = isl_stream_next_token_on_same_line(s);
1256         if (tok2 && tok2->type == ISL_TOKEN_VALUE) {
1257                 isl_stream_push_token(s, tok2);
1258                 isl_stream_push_token(s, tok);
1259                 return isl_map_from_basic_map(basic_map_read_polylib(s, nparam));
1260         }
1261         if (tok2) {
1262                 isl_stream_error(s, tok2, "unexpected token");
1263                 isl_stream_push_token(s, tok2);
1264                 isl_stream_push_token(s, tok);
1265                 return NULL;
1266         }
1267         n = isl_int_get_si(tok->u.v);
1268         isl_token_free(tok);
1269
1270         isl_assert(s->ctx, n >= 1, return NULL);
1271
1272         map = isl_map_from_basic_map(basic_map_read_polylib(s, nparam));
1273
1274         for (i = 1; map && i < n; ++i)
1275                 map = isl_map_union(map,
1276                         isl_map_from_basic_map(basic_map_read_polylib(s, nparam)));
1277
1278         return map;
1279 }
1280
1281 static int optional_power(struct isl_stream *s)
1282 {
1283         int pow;
1284         struct isl_token *tok;
1285
1286         tok = isl_stream_next_token(s);
1287         if (!tok)
1288                 return 1;
1289         if (tok->type != '^') {
1290                 isl_stream_push_token(s, tok);
1291                 return 1;
1292         }
1293         isl_token_free(tok);
1294         tok = isl_stream_next_token(s);
1295         if (!tok || tok->type != ISL_TOKEN_VALUE) {
1296                 isl_stream_error(s, tok, "expecting exponent");
1297                 if (tok)
1298                         isl_stream_push_token(s, tok);
1299                 return 1;
1300         }
1301         pow = isl_int_get_si(tok->u.v);
1302         isl_token_free(tok);
1303         return pow;
1304 }
1305
1306 static __isl_give isl_div *read_div(struct isl_stream *s,
1307         __isl_take isl_dim *dim, struct vars *v)
1308 {
1309         int n;
1310         isl_basic_map *bmap;
1311
1312         n = v->n;
1313         bmap = isl_basic_map_universe(dim);
1314
1315         if (vars_add_anon(v) < 0)
1316                 goto error;
1317         if (read_div_definition(s, v) < 0)
1318                 goto error;
1319         bmap = add_divs(bmap, v);
1320         bmap = isl_basic_map_order_divs(bmap);
1321         if (!bmap)
1322                 goto error;
1323         vars_drop(v, v->n - n);
1324
1325         return isl_basic_map_div(bmap, bmap->n_div - 1);
1326 error:
1327         isl_basic_map_free(bmap);
1328         return NULL;
1329 }
1330
1331 static __isl_give isl_qpolynomial *read_term(struct isl_stream *s,
1332         __isl_keep isl_basic_map *bmap, struct vars *v);
1333
1334 static __isl_give isl_qpolynomial *read_factor(struct isl_stream *s,
1335         __isl_keep isl_basic_map *bmap, struct vars *v)
1336 {
1337         struct isl_qpolynomial *qp;
1338         struct isl_token *tok;
1339
1340         tok = isl_stream_next_token(s);
1341         if (!tok) {
1342                 isl_stream_error(s, NULL, "unexpected EOF");
1343                 return NULL;
1344         }
1345         if (tok->type == '(') {
1346                 int pow;
1347
1348                 isl_token_free(tok);
1349                 qp = read_term(s, bmap, v);
1350                 if (!qp)
1351                         return NULL;
1352                 if (isl_stream_eat(s, ')'))
1353                         goto error;
1354                 pow = optional_power(s);
1355                 qp = isl_qpolynomial_pow(qp, pow);
1356         } else if (tok->type == ISL_TOKEN_VALUE) {
1357                 struct isl_token *tok2;
1358                 tok2 = isl_stream_next_token(s);
1359                 if (tok2 && tok2->type == '/') {
1360                         isl_token_free(tok2);
1361                         tok2 = isl_stream_next_token(s);
1362                         if (!tok2 || tok2->type != ISL_TOKEN_VALUE) {
1363                                 isl_stream_error(s, tok2, "expected denominator");
1364                                 isl_token_free(tok);
1365                                 isl_token_free(tok2);
1366                                 return NULL;
1367                         }
1368                         qp = isl_qpolynomial_rat_cst(isl_basic_map_get_dim(bmap),
1369                                                     tok->u.v, tok2->u.v);
1370                         isl_token_free(tok2);
1371                 } else {
1372                         isl_stream_push_token(s, tok2);
1373                         qp = isl_qpolynomial_cst(isl_basic_map_get_dim(bmap),
1374                                                 tok->u.v);
1375                 }
1376                 isl_token_free(tok);
1377         } else if (tok->type == ISL_TOKEN_INFTY) {
1378                 isl_token_free(tok);
1379                 qp = isl_qpolynomial_infty(isl_basic_map_get_dim(bmap));
1380         } else if (tok->type == ISL_TOKEN_NAN) {
1381                 isl_token_free(tok);
1382                 qp = isl_qpolynomial_nan(isl_basic_map_get_dim(bmap));
1383         } else if (tok->type == ISL_TOKEN_IDENT) {
1384                 int n = v->n;
1385                 int pos = vars_pos(v, tok->u.s, -1);
1386                 int pow;
1387                 if (pos < 0) {
1388                         isl_token_free(tok);
1389                         return NULL;
1390                 }
1391                 if (pos >= n) {
1392                         isl_stream_error(s, tok, "unknown identifier");
1393                         isl_token_free(tok);
1394                         return NULL;
1395                 }
1396                 isl_token_free(tok);
1397                 pow = optional_power(s);
1398                 qp = isl_qpolynomial_var_pow(isl_basic_map_get_dim(bmap), pos, pow);
1399         } else if (tok->type == '[') {
1400                 isl_div *div;
1401                 int pow;
1402
1403                 isl_stream_push_token(s, tok);
1404                 div = read_div(s, isl_basic_map_get_dim(bmap), v);
1405                 pow = optional_power(s);
1406                 qp = isl_qpolynomial_div_pow(div, pow);
1407         } else if (tok->type == '-') {
1408                 struct isl_qpolynomial *qp2;
1409
1410                 isl_token_free(tok);
1411                 qp = isl_qpolynomial_cst(isl_basic_map_get_dim(bmap),
1412                                             s->ctx->negone);
1413                 qp2 = read_factor(s, bmap, v);
1414                 qp = isl_qpolynomial_mul(qp, qp2);
1415         } else {
1416                 isl_stream_error(s, tok, "unexpected isl_token");
1417                 isl_stream_push_token(s, tok);
1418                 return NULL;
1419         }
1420
1421         if (isl_stream_eat_if_available(s, '*') ||
1422             isl_stream_next_token_is(s, ISL_TOKEN_IDENT)) {
1423                 struct isl_qpolynomial *qp2;
1424
1425                 qp2 = read_factor(s, bmap, v);
1426                 qp = isl_qpolynomial_mul(qp, qp2);
1427         }
1428
1429         return qp;
1430 error:
1431         isl_qpolynomial_free(qp);
1432         return NULL;
1433 }
1434
1435 static __isl_give isl_qpolynomial *read_term(struct isl_stream *s,
1436         __isl_keep isl_basic_map *bmap, struct vars *v)
1437 {
1438         struct isl_token *tok;
1439         struct isl_qpolynomial *qp;
1440
1441         qp = read_factor(s, bmap, v);
1442
1443         for (;;) {
1444                 tok = isl_stream_next_token(s);
1445                 if (!tok)
1446                         return qp;
1447
1448                 if (tok->type == '+') {
1449                         struct isl_qpolynomial *qp2;
1450
1451                         isl_token_free(tok);
1452                         qp2 = read_factor(s, bmap, v);
1453                         qp = isl_qpolynomial_add(qp, qp2);
1454                 } else if (tok->type == '-') {
1455                         struct isl_qpolynomial *qp2;
1456
1457                         isl_token_free(tok);
1458                         qp2 = read_factor(s, bmap, v);
1459                         qp = isl_qpolynomial_sub(qp, qp2);
1460                 } else if (tok->type == ISL_TOKEN_VALUE &&
1461                             isl_int_is_neg(tok->u.v)) {
1462                         struct isl_qpolynomial *qp2;
1463
1464                         isl_stream_push_token(s, tok);
1465                         qp2 = read_factor(s, bmap, v);
1466                         qp = isl_qpolynomial_add(qp, qp2);
1467                 } else {
1468                         isl_stream_push_token(s, tok);
1469                         break;
1470                 }
1471         }
1472
1473         return qp;
1474 }
1475
1476 static __isl_give isl_map *read_optional_disjuncts(struct isl_stream *s,
1477         __isl_take isl_basic_map *bmap, struct vars *v)
1478 {
1479         struct isl_token *tok;
1480         struct isl_map *map;
1481
1482         tok = isl_stream_next_token(s);
1483         if (!tok) {
1484                 isl_stream_error(s, NULL, "unexpected EOF");
1485                 goto error;
1486         }
1487         map = isl_map_from_basic_map(isl_basic_map_copy(bmap));
1488         if (tok->type == ':') {
1489                 isl_token_free(tok);
1490                 map = isl_map_intersect(map,
1491                             read_disjuncts(s, v, isl_basic_map_get_dim(bmap)));
1492         } else
1493                 isl_stream_push_token(s, tok);
1494
1495         isl_basic_map_free(bmap);
1496
1497         return map;
1498 error:
1499         isl_basic_map_free(bmap);
1500         return NULL;
1501 }
1502
1503 static struct isl_obj obj_read_poly(struct isl_stream *s,
1504         __isl_take isl_basic_map *bmap, struct vars *v, int n)
1505 {
1506         struct isl_obj obj = { isl_obj_pw_qpolynomial, NULL };
1507         struct isl_pw_qpolynomial *pwqp;
1508         struct isl_qpolynomial *qp;
1509         struct isl_map *map;
1510         struct isl_set *set;
1511
1512         qp = read_term(s, bmap, v);
1513         map = read_optional_disjuncts(s, bmap, v);
1514         set = isl_map_range(map);
1515
1516         pwqp = isl_pw_qpolynomial_alloc(set, qp);
1517
1518         vars_drop(v, v->n - n);
1519
1520         obj.v = pwqp;
1521         return obj;
1522 }
1523
1524 static struct isl_obj obj_read_poly_or_fold(struct isl_stream *s,
1525         __isl_take isl_basic_map *bmap, struct vars *v, int n)
1526 {
1527         struct isl_obj obj = { isl_obj_pw_qpolynomial_fold, NULL };
1528         struct isl_obj obj_p;
1529         isl_qpolynomial *qp;
1530         isl_qpolynomial_fold *fold = NULL;
1531         isl_pw_qpolynomial_fold *pwf;
1532         isl_map *map;
1533         isl_set *set;
1534
1535         if (!isl_stream_eat_if_available(s, ISL_TOKEN_MAX))
1536                 return obj_read_poly(s, bmap, v, n);
1537
1538         if (isl_stream_eat(s, '('))
1539                 goto error;
1540
1541         qp = read_term(s, bmap, v);
1542         fold = isl_qpolynomial_fold_alloc(isl_fold_max, qp);
1543
1544         while (isl_stream_eat_if_available(s, ',')) {
1545                 isl_qpolynomial_fold *fold_i;
1546                 qp = read_term(s, bmap, v);
1547                 fold_i = isl_qpolynomial_fold_alloc(isl_fold_max, qp);
1548                 fold = isl_qpolynomial_fold_fold(fold, fold_i);
1549         }
1550
1551         if (isl_stream_eat(s, ')'))
1552                 goto error;
1553
1554         map = read_optional_disjuncts(s, bmap, v);
1555         set = isl_map_range(map);
1556         pwf = isl_pw_qpolynomial_fold_alloc(isl_fold_max, set, fold);
1557
1558         vars_drop(v, v->n - n);
1559
1560         obj.v = pwf;
1561         return obj;
1562 error:
1563         isl_basic_map_free(bmap);
1564         isl_qpolynomial_fold_free(fold);
1565         obj.type = isl_obj_none;
1566         return obj;
1567 }
1568
1569 static struct isl_obj obj_read_body(struct isl_stream *s,
1570         __isl_take isl_basic_map *bmap, struct vars *v)
1571 {
1572         struct isl_map *map = NULL;
1573         struct isl_token *tok;
1574         struct isl_obj obj = { isl_obj_set, NULL };
1575         int n = v->n;
1576
1577         if (!next_is_tuple(s))
1578                 return obj_read_poly_or_fold(s, bmap, v, n);
1579
1580         bmap = read_tuple(s, bmap, isl_dim_in, v);
1581         if (!bmap)
1582                 goto error;
1583         tok = isl_stream_next_token(s);
1584         if (tok && tok->type == ISL_TOKEN_TO) {
1585                 obj.type = isl_obj_map;
1586                 isl_token_free(tok);
1587                 if (!next_is_tuple(s)) {
1588                         bmap = isl_basic_map_reverse(bmap);
1589                         return obj_read_poly_or_fold(s, bmap, v, n);
1590                 }
1591                 bmap = read_tuple(s, bmap, isl_dim_out, v);
1592                 if (!bmap)
1593                         goto error;
1594         } else {
1595                 bmap = isl_basic_map_reverse(bmap);
1596                 if (tok)
1597                         isl_stream_push_token(s, tok);
1598         }
1599
1600         map = read_optional_disjuncts(s, bmap, v);
1601
1602         vars_drop(v, v->n - n);
1603
1604         obj.v = map;
1605         return obj;
1606 error:
1607         isl_basic_map_free(bmap);
1608         obj.type = isl_obj_none;
1609         return obj;
1610 }
1611
1612 static struct isl_obj to_union(isl_ctx *ctx, struct isl_obj obj)
1613 {
1614         if (obj.type == isl_obj_map) {
1615                 obj.v = isl_union_map_from_map(obj.v);
1616                 obj.type = isl_obj_union_map;
1617         } else if (obj.type == isl_obj_set) {
1618                 obj.v = isl_union_set_from_set(obj.v);
1619                 obj.type = isl_obj_union_set;
1620         } else if (obj.type == isl_obj_pw_qpolynomial) {
1621                 obj.v = isl_union_pw_qpolynomial_from_pw_qpolynomial(obj.v);
1622                 obj.type = isl_obj_union_pw_qpolynomial;
1623         } else if (obj.type == isl_obj_pw_qpolynomial_fold) {
1624                 obj.v = isl_union_pw_qpolynomial_fold_from_pw_qpolynomial_fold(obj.v);
1625                 obj.type = isl_obj_union_pw_qpolynomial_fold;
1626         } else
1627                 isl_assert(ctx, 0, goto error);
1628         return obj;
1629 error:
1630         obj.type->free(obj.v);
1631         obj.type = isl_obj_none;
1632         return obj;
1633 }
1634
1635 static struct isl_obj obj_add(struct isl_ctx *ctx,
1636         struct isl_obj obj1, struct isl_obj obj2)
1637 {
1638         if (obj1.type == isl_obj_set && obj2.type == isl_obj_union_set)
1639                 obj1 = to_union(ctx, obj1);
1640         if (obj1.type == isl_obj_union_set && obj2.type == isl_obj_set)
1641                 obj2 = to_union(ctx, obj2);
1642         if (obj1.type == isl_obj_map && obj2.type == isl_obj_union_map)
1643                 obj1 = to_union(ctx, obj1);
1644         if (obj1.type == isl_obj_union_map && obj2.type == isl_obj_map)
1645                 obj2 = to_union(ctx, obj2);
1646         if (obj1.type == isl_obj_pw_qpolynomial &&
1647             obj2.type == isl_obj_union_pw_qpolynomial)
1648                 obj1 = to_union(ctx, obj1);
1649         if (obj1.type == isl_obj_union_pw_qpolynomial &&
1650             obj2.type == isl_obj_pw_qpolynomial)
1651                 obj2 = to_union(ctx, obj2);
1652         if (obj1.type == isl_obj_pw_qpolynomial_fold &&
1653             obj2.type == isl_obj_union_pw_qpolynomial_fold)
1654                 obj1 = to_union(ctx, obj1);
1655         if (obj1.type == isl_obj_union_pw_qpolynomial_fold &&
1656             obj2.type == isl_obj_pw_qpolynomial_fold)
1657                 obj2 = to_union(ctx, obj2);
1658         isl_assert(ctx, obj1.type == obj2.type, goto error);
1659         if (obj1.type == isl_obj_map && !isl_map_has_equal_dim(obj1.v, obj2.v)) {
1660                 obj1 = to_union(ctx, obj1);
1661                 obj2 = to_union(ctx, obj2);
1662         }
1663         if (obj1.type == isl_obj_set && !isl_set_has_equal_dim(obj1.v, obj2.v)) {
1664                 obj1 = to_union(ctx, obj1);
1665                 obj2 = to_union(ctx, obj2);
1666         }
1667         if (obj1.type == isl_obj_pw_qpolynomial &&
1668             !isl_pw_qpolynomial_has_equal_dim(obj1.v, obj2.v)) {
1669                 obj1 = to_union(ctx, obj1);
1670                 obj2 = to_union(ctx, obj2);
1671         }
1672         if (obj1.type == isl_obj_pw_qpolynomial_fold &&
1673             !isl_pw_qpolynomial_fold_has_equal_dim(obj1.v, obj2.v)) {
1674                 obj1 = to_union(ctx, obj1);
1675                 obj2 = to_union(ctx, obj2);
1676         }
1677         obj1.v = obj1.type->add(obj1.v, obj2.v);
1678         return obj1;
1679 error:
1680         obj1.type->free(obj1.v);
1681         obj2.type->free(obj2.v);
1682         obj1.type = isl_obj_none;
1683         obj1.v = NULL;
1684         return obj1;
1685 }
1686
1687 static struct isl_obj obj_read(struct isl_stream *s, int nparam)
1688 {
1689         isl_basic_map *bmap = NULL;
1690         struct isl_token *tok;
1691         struct vars *v = NULL;
1692         struct isl_obj obj = { isl_obj_set, NULL };
1693
1694         tok = isl_stream_next_token(s);
1695         if (!tok) {
1696                 isl_stream_error(s, NULL, "unexpected EOF");
1697                 goto error;
1698         }
1699         if (tok->type == ISL_TOKEN_VALUE) {
1700                 struct isl_map *map;
1701                 isl_stream_push_token(s, tok);
1702                 map = map_read_polylib(s, nparam);
1703                 if (!map)
1704                         goto error;
1705                 if (isl_map_dim(map, isl_dim_in) > 0)
1706                         obj.type = isl_obj_map;
1707                 obj.v = map;
1708                 return obj;
1709         }
1710         v = vars_new(s->ctx);
1711         if (!v) {
1712                 isl_stream_push_token(s, tok);
1713                 goto error;
1714         }
1715         bmap = isl_basic_map_alloc(s->ctx, 0, 0, 0, 0, 0, 0);
1716         if (tok->type == '[') {
1717                 isl_stream_push_token(s, tok);
1718                 bmap = read_tuple(s, bmap, isl_dim_param, v);
1719                 if (!bmap)
1720                         goto error;
1721                 if (nparam >= 0)
1722                         isl_assert(s->ctx, nparam == v->n, goto error);
1723                 tok = isl_stream_next_token(s);
1724                 if (!tok || tok->type != ISL_TOKEN_TO) {
1725                         isl_stream_error(s, tok, "expecting '->'");
1726                         if (tok)
1727                                 isl_stream_push_token(s, tok);
1728                         goto error;
1729                 }
1730                 isl_token_free(tok);
1731                 tok = isl_stream_next_token(s);
1732         } else if (nparam > 0)
1733                 bmap = isl_basic_map_add(bmap, isl_dim_param, nparam);
1734         if (!tok || tok->type != '{') {
1735                 isl_stream_error(s, tok, "expecting '{'");
1736                 if (tok)
1737                         isl_stream_push_token(s, tok);
1738                 goto error;
1739         }
1740         isl_token_free(tok);
1741
1742         tok = isl_stream_next_token(s);
1743         if (!tok)
1744                 ;
1745         else if (tok->type == ISL_TOKEN_IDENT && !strcmp(tok->u.s, "Sym")) {
1746                 isl_token_free(tok);
1747                 if (isl_stream_eat(s, '='))
1748                         goto error;
1749                 bmap = read_tuple(s, bmap, isl_dim_param, v);
1750                 if (!bmap)
1751                         goto error;
1752                 if (nparam >= 0)
1753                         isl_assert(s->ctx, nparam == v->n, goto error);
1754         } else if (tok->type == '}') {
1755                 obj.type = isl_obj_union_set;
1756                 obj.v = isl_union_set_empty(isl_basic_map_get_dim(bmap));
1757                 isl_token_free(tok);
1758                 goto done;
1759         } else
1760                 isl_stream_push_token(s, tok);
1761
1762         for (;;) {
1763                 struct isl_obj o;
1764                 tok = NULL;
1765                 o = obj_read_body(s, isl_basic_map_copy(bmap), v);
1766                 if (o.type == isl_obj_none || !o.v)
1767                         goto error;
1768                 if (!obj.v)
1769                         obj = o;
1770                 else {
1771                         obj = obj_add(s->ctx, obj, o);
1772                         if (obj.type == isl_obj_none || !obj.v)
1773                                 goto error;
1774                 }
1775                 tok = isl_stream_next_token(s);
1776                 if (!tok || tok->type != ';')
1777                         break;
1778                 isl_token_free(tok);
1779         }
1780
1781         if (tok && tok->type == '}') {
1782                 isl_token_free(tok);
1783         } else {
1784                 isl_stream_error(s, tok, "unexpected isl_token");
1785                 if (tok)
1786                         isl_token_free(tok);
1787                 goto error;
1788         }
1789 done:
1790         vars_free(v);
1791         isl_basic_map_free(bmap);
1792
1793         return obj;
1794 error:
1795         isl_basic_map_free(bmap);
1796         obj.type->free(obj.v);
1797         if (v)
1798                 vars_free(v);
1799         obj.v = NULL;
1800         return obj;
1801 }
1802
1803 struct isl_obj isl_stream_read_obj(struct isl_stream *s)
1804 {
1805         return obj_read(s, -1);
1806 }
1807
1808 __isl_give isl_map *isl_stream_read_map(struct isl_stream *s, int nparam)
1809 {
1810         struct isl_obj obj;
1811         struct isl_map *map;
1812
1813         obj = obj_read(s, nparam);
1814         if (obj.v)
1815                 isl_assert(s->ctx, obj.type == isl_obj_map ||
1816                                    obj.type == isl_obj_set, goto error);
1817
1818         return obj.v;
1819 error:
1820         obj.type->free(obj.v);
1821         return NULL;
1822 }
1823
1824 __isl_give isl_set *isl_stream_read_set(struct isl_stream *s, int nparam)
1825 {
1826         struct isl_obj obj;
1827         struct isl_set *set;
1828
1829         obj = obj_read(s, nparam);
1830         if (obj.v)
1831                 isl_assert(s->ctx, obj.type == isl_obj_set, goto error);
1832
1833         return obj.v;
1834 error:
1835         obj.type->free(obj.v);
1836         return NULL;
1837 }
1838
1839 __isl_give isl_union_map *isl_stream_read_union_map(struct isl_stream *s)
1840 {
1841         struct isl_obj obj;
1842         isl_union_map *umap;
1843
1844         obj = obj_read(s, -1);
1845         if (obj.type == isl_obj_map) {
1846                 obj.type = isl_obj_union_map;
1847                 obj.v = isl_union_map_from_map(obj.v);
1848         }
1849         if (obj.type == isl_obj_set) {
1850                 obj.type = isl_obj_union_set;
1851                 obj.v = isl_union_set_from_set(obj.v);
1852         }
1853         if (obj.v)
1854                 isl_assert(s->ctx, obj.type == isl_obj_union_map ||
1855                                    obj.type == isl_obj_union_set, goto error);
1856
1857         return obj.v;
1858 error:
1859         obj.type->free(obj.v);
1860         return NULL;
1861 }
1862
1863 __isl_give isl_union_set *isl_stream_read_union_set(struct isl_stream *s)
1864 {
1865         struct isl_obj obj;
1866         isl_union_set *uset;
1867
1868         obj = obj_read(s, -1);
1869         if (obj.type == isl_obj_set) {
1870                 obj.type = isl_obj_union_set;
1871                 obj.v = isl_union_set_from_set(obj.v);
1872         }
1873         if (obj.v)
1874                 isl_assert(s->ctx, obj.type == isl_obj_union_set, goto error);
1875
1876         return obj.v;
1877 error:
1878         obj.type->free(obj.v);
1879         return NULL;
1880 }
1881
1882 static struct isl_basic_map *basic_map_read(struct isl_stream *s, int nparam)
1883 {
1884         struct isl_obj obj;
1885         struct isl_map *map;
1886         struct isl_basic_map *bmap;
1887
1888         obj = obj_read(s, nparam);
1889         map = obj.v;
1890         if (!map)
1891                 return NULL;
1892
1893         isl_assert(map->ctx, map->n <= 1, goto error);
1894
1895         if (map->n == 0)
1896                 bmap = isl_basic_map_empty_like_map(map);
1897         else
1898                 bmap = isl_basic_map_copy(map->p[0]);
1899
1900         isl_map_free(map);
1901
1902         return bmap;
1903 error:
1904         isl_map_free(map);
1905         return NULL;
1906 }
1907
1908 __isl_give isl_basic_map *isl_basic_map_read_from_file(isl_ctx *ctx,
1909                 FILE *input, int nparam)
1910 {
1911         struct isl_basic_map *bmap;
1912         struct isl_stream *s = isl_stream_new_file(ctx, input);
1913         if (!s)
1914                 return NULL;
1915         bmap = basic_map_read(s, nparam);
1916         isl_stream_free(s);
1917         return bmap;
1918 }
1919
1920 __isl_give isl_basic_set *isl_basic_set_read_from_file(isl_ctx *ctx,
1921                 FILE *input, int nparam)
1922 {
1923         struct isl_basic_map *bmap;
1924         bmap = isl_basic_map_read_from_file(ctx, input, nparam);
1925         if (!bmap)
1926                 return NULL;
1927         isl_assert(ctx, isl_basic_map_n_in(bmap) == 0, goto error);
1928         return (struct isl_basic_set *)bmap;
1929 error:
1930         isl_basic_map_free(bmap);
1931         return NULL;
1932 }
1933
1934 struct isl_basic_map *isl_basic_map_read_from_str(struct isl_ctx *ctx,
1935                 const char *str, int nparam)
1936 {
1937         struct isl_basic_map *bmap;
1938         struct isl_stream *s = isl_stream_new_str(ctx, str);
1939         if (!s)
1940                 return NULL;
1941         bmap = basic_map_read(s, nparam);
1942         isl_stream_free(s);
1943         return bmap;
1944 }
1945
1946 struct isl_basic_set *isl_basic_set_read_from_str(struct isl_ctx *ctx,
1947                 const char *str, int nparam)
1948 {
1949         struct isl_basic_map *bmap;
1950         bmap = isl_basic_map_read_from_str(ctx, str, nparam);
1951         if (!bmap)
1952                 return NULL;
1953         isl_assert(ctx, isl_basic_map_n_in(bmap) == 0, goto error);
1954         return (struct isl_basic_set *)bmap;
1955 error:
1956         isl_basic_map_free(bmap);
1957         return NULL;
1958 }
1959
1960 __isl_give isl_map *isl_map_read_from_file(struct isl_ctx *ctx,
1961                 FILE *input, int nparam)
1962 {
1963         struct isl_map *map;
1964         struct isl_stream *s = isl_stream_new_file(ctx, input);
1965         if (!s)
1966                 return NULL;
1967         map = isl_stream_read_map(s, nparam);
1968         isl_stream_free(s);
1969         return map;
1970 }
1971
1972 __isl_give isl_map *isl_map_read_from_str(struct isl_ctx *ctx,
1973                 const char *str, int nparam)
1974 {
1975         struct isl_map *map;
1976         struct isl_stream *s = isl_stream_new_str(ctx, str);
1977         if (!s)
1978                 return NULL;
1979         map = isl_stream_read_map(s, nparam);
1980         isl_stream_free(s);
1981         return map;
1982 }
1983
1984 __isl_give isl_set *isl_set_read_from_file(struct isl_ctx *ctx,
1985                 FILE *input, int nparam)
1986 {
1987         struct isl_map *map;
1988         map = isl_map_read_from_file(ctx, input, nparam);
1989         if (!map)
1990                 return NULL;
1991         isl_assert(ctx, isl_map_n_in(map) == 0, goto error);
1992         return (struct isl_set *)map;
1993 error:
1994         isl_map_free(map);
1995         return NULL;
1996 }
1997
1998 struct isl_set *isl_set_read_from_str(struct isl_ctx *ctx,
1999                 const char *str, int nparam)
2000 {
2001         struct isl_map *map;
2002         map = isl_map_read_from_str(ctx, str, nparam);
2003         if (!map)
2004                 return NULL;
2005         isl_assert(ctx, isl_map_n_in(map) == 0, goto error);
2006         return (struct isl_set *)map;
2007 error:
2008         isl_map_free(map);
2009         return NULL;
2010 }
2011
2012 __isl_give isl_union_map *isl_union_map_read_from_str(struct isl_ctx *ctx,
2013                 const char *str)
2014 {
2015         isl_union_map *umap;
2016         struct isl_stream *s = isl_stream_new_str(ctx, str);
2017         if (!s)
2018                 return NULL;
2019         umap = isl_stream_read_union_map(s);
2020         isl_stream_free(s);
2021         return umap;
2022 }
2023
2024 __isl_give isl_union_set *isl_union_set_read_from_str(struct isl_ctx *ctx,
2025                 const char *str)
2026 {
2027         isl_union_set *uset;
2028         struct isl_stream *s = isl_stream_new_str(ctx, str);
2029         if (!s)
2030                 return NULL;
2031         uset = isl_stream_read_union_set(s);
2032         isl_stream_free(s);
2033         return uset;
2034 }
2035
2036 static __isl_give isl_vec *isl_vec_read_polylib(struct isl_stream *s)
2037 {
2038         struct isl_vec *vec = NULL;
2039         struct isl_token *tok;
2040         unsigned size;
2041         int j;
2042
2043         tok = isl_stream_next_token(s);
2044         if (!tok || tok->type != ISL_TOKEN_VALUE) {
2045                 isl_stream_error(s, tok, "expecting vector length");
2046                 goto error;
2047         }
2048
2049         size = isl_int_get_si(tok->u.v);
2050         isl_token_free(tok);
2051
2052         vec = isl_vec_alloc(s->ctx, size);
2053
2054         for (j = 0; j < size; ++j) {
2055                 tok = isl_stream_next_token(s);
2056                 if (!tok || tok->type != ISL_TOKEN_VALUE) {
2057                         isl_stream_error(s, tok, "expecting constant value");
2058                         goto error;
2059                 }
2060                 isl_int_set(vec->el[j], tok->u.v);
2061                 isl_token_free(tok);
2062         }
2063
2064         return vec;
2065 error:
2066         isl_token_free(tok);
2067         isl_vec_free(vec);
2068         return NULL;
2069 }
2070
2071 static __isl_give isl_vec *vec_read(struct isl_stream *s,
2072         unsigned input_format)
2073 {
2074         if (input_format == ISL_FORMAT_POLYLIB)
2075                 return isl_vec_read_polylib(s);
2076         isl_assert(s->ctx, 0, return NULL);
2077 }
2078
2079 struct isl_vec *isl_vec_read_from_file(struct isl_ctx *ctx,
2080                 FILE *input, unsigned input_format)
2081 {
2082         isl_vec *v;
2083         struct isl_stream *s = isl_stream_new_file(ctx, input);
2084         if (!s)
2085                 return NULL;
2086         v = vec_read(s, input_format);
2087         isl_stream_free(s);
2088         return v;
2089 }
2090
2091 __isl_give isl_pw_qpolynomial *isl_stream_read_pw_qpolynomial(
2092         struct isl_stream *s)
2093 {
2094         struct isl_obj obj;
2095         struct isl_pw_qpolynomial *pwqp;
2096
2097         obj = obj_read(s, -1);
2098         if (obj.v)
2099                 isl_assert(s->ctx, obj.type == isl_obj_pw_qpolynomial,
2100                            goto error);
2101
2102         return obj.v;
2103 error:
2104         obj.type->free(obj.v);
2105         return NULL;
2106 }
2107
2108 __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_read_from_str(isl_ctx *ctx,
2109                 const char *str)
2110 {
2111         isl_pw_qpolynomial *pwqp;
2112         struct isl_stream *s = isl_stream_new_str(ctx, str);
2113         if (!s)
2114                 return NULL;
2115         pwqp = isl_stream_read_pw_qpolynomial(s);
2116         isl_stream_free(s);
2117         return pwqp;
2118 }