2 * Copyright 2008-2009 Katholieke Universiteit Leuven
3 * Copyright 2010 INRIA Saclay
5 * Use of this software is governed by the GNU LGPLv2.1 license
7 * Written by Sven Verdoolaege, K.U.Leuven, Departement
8 * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
9 * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
10 * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
15 #include <isl_ctx_private.h>
16 #include <isl_map_private.h>
19 #include <isl_polynomial_private.h>
20 #include <isl_printer_private.h>
21 #include <isl_dim_private.h>
22 #include <isl_mat_private.h>
23 #include <isl/union_map.h>
25 static const char *s_to
[2] = { " -> ", " \\to " };
26 static const char *s_and
[2] = { " and ", " \\wedge " };
27 static const char *s_or
[2] = { " or ", " \\vee " };
28 static const char *s_le
[2] = { "<=", "\\le" };
29 static const char *s_ge
[2] = { ">=", "\\ge" };
30 static const char *s_open_set
[2] = { "{ ", "\\{\\, " };
31 static const char *s_close_set
[2] = { " }", " \\,\\}" };
32 static const char *s_open_list
[2] = { "[", "(" };
33 static const char *s_close_list
[2] = { "]", ")" };
34 static const char *s_such_that
[2] = { " : ", " \\mid " };
35 static const char *s_open_exists
[2] = { "exists (", "\\exists \\, " };
36 static const char *s_close_exists
[2] = { ")", "" };
37 static const char *s_div_prefix
[2] = { "e", "\\alpha_" };
38 static const char *s_param_prefix
[2] = { "p", "p_" };
39 static const char *s_input_prefix
[2] = { "i", "i_" };
40 static const char *s_output_prefix
[2] = { "o", "o_" };
42 static __isl_give isl_printer
*print_constraint_polylib(
43 struct isl_basic_map
*bmap
, int ineq
, int n
, __isl_take isl_printer
*p
)
46 unsigned n_in
= isl_basic_map_dim(bmap
, isl_dim_in
);
47 unsigned n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
48 unsigned nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
49 isl_int
*c
= ineq
? bmap
->ineq
[n
] : bmap
->eq
[n
];
51 p
= isl_printer_start_line(p
);
52 p
= isl_printer_print_int(p
, ineq
);
53 for (i
= 0; i
< n_out
; ++i
) {
54 p
= isl_printer_print_str(p
, " ");
55 p
= isl_printer_print_isl_int(p
, c
[1+nparam
+n_in
+i
]);
57 for (i
= 0; i
< n_in
; ++i
) {
58 p
= isl_printer_print_str(p
, " ");
59 p
= isl_printer_print_isl_int(p
, c
[1+nparam
+i
]);
61 for (i
= 0; i
< bmap
->n_div
; ++i
) {
62 p
= isl_printer_print_str(p
, " ");
63 p
= isl_printer_print_isl_int(p
, c
[1+nparam
+n_in
+n_out
+i
]);
65 for (i
= 0; i
< nparam
; ++i
) {
66 p
= isl_printer_print_str(p
, " ");
67 p
= isl_printer_print_isl_int(p
, c
[1+i
]);
69 p
= isl_printer_print_str(p
, " ");
70 p
= isl_printer_print_isl_int(p
, c
[0]);
71 p
= isl_printer_end_line(p
);
75 static __isl_give isl_printer
*print_constraints_polylib(
76 struct isl_basic_map
*bmap
, __isl_take isl_printer
*p
)
80 p
= isl_printer_set_isl_int_width(p
, 5);
82 for (i
= 0; i
< bmap
->n_eq
; ++i
)
83 p
= print_constraint_polylib(bmap
, 0, i
, p
);
84 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
85 p
= print_constraint_polylib(bmap
, 1, i
, p
);
90 static __isl_give isl_printer
*bset_print_constraints_polylib(
91 struct isl_basic_set
*bset
, __isl_take isl_printer
*p
)
93 return print_constraints_polylib((struct isl_basic_map
*)bset
, p
);
96 static __isl_give isl_printer
*isl_basic_map_print_polylib(
97 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
, int ext
)
99 unsigned total
= isl_basic_map_total_dim(bmap
);
100 p
= isl_printer_start_line(p
);
101 p
= isl_printer_print_int(p
, bmap
->n_eq
+ bmap
->n_ineq
);
102 p
= isl_printer_print_str(p
, " ");
103 p
= isl_printer_print_int(p
, 1 + total
+ 1);
105 p
= isl_printer_print_str(p
, " ");
106 p
= isl_printer_print_int(p
,
107 isl_basic_map_dim(bmap
, isl_dim_out
));
108 p
= isl_printer_print_str(p
, " ");
109 p
= isl_printer_print_int(p
,
110 isl_basic_map_dim(bmap
, isl_dim_in
));
111 p
= isl_printer_print_str(p
, " ");
112 p
= isl_printer_print_int(p
,
113 isl_basic_map_dim(bmap
, isl_dim_div
));
114 p
= isl_printer_print_str(p
, " ");
115 p
= isl_printer_print_int(p
,
116 isl_basic_map_dim(bmap
, isl_dim_param
));
118 p
= isl_printer_end_line(p
);
119 return print_constraints_polylib(bmap
, p
);
122 static __isl_give isl_printer
*isl_basic_set_print_polylib(
123 __isl_keep isl_basic_set
*bset
, __isl_take isl_printer
*p
, int ext
)
125 return isl_basic_map_print_polylib((struct isl_basic_map
*)bset
, p
, ext
);
128 static __isl_give isl_printer
*isl_map_print_polylib(__isl_keep isl_map
*map
,
129 __isl_take isl_printer
*p
, int ext
)
133 p
= isl_printer_start_line(p
);
134 p
= isl_printer_print_int(p
, map
->n
);
135 p
= isl_printer_end_line(p
);
136 for (i
= 0; i
< map
->n
; ++i
) {
137 p
= isl_printer_start_line(p
);
138 p
= isl_printer_end_line(p
);
139 p
= isl_basic_map_print_polylib(map
->p
[i
], p
, ext
);
144 static __isl_give isl_printer
*isl_set_print_polylib(__isl_keep isl_set
*set
,
145 __isl_take isl_printer
*p
, int ext
)
147 return isl_map_print_polylib((struct isl_map
*)set
, p
, ext
);
150 static int count_same_name(__isl_keep isl_dim
*dim
,
151 enum isl_dim_type type
, unsigned pos
, const char *name
)
157 for (t
= isl_dim_param
; t
<= type
&& t
<= isl_dim_out
; ++t
) {
158 s
= t
== type
? pos
: isl_dim_size(dim
, t
);
159 for (p
= 0; p
< s
; ++p
) {
160 const char *n
= isl_dim_get_name(dim
, t
, p
);
161 if (n
&& !strcmp(n
, name
))
168 static __isl_give isl_printer
*print_name(__isl_keep isl_dim
*dim
,
169 __isl_take isl_printer
*p
, enum isl_dim_type type
, unsigned pos
,
176 name
= type
== isl_dim_div
? NULL
: isl_dim_get_name(dim
, type
, pos
);
180 if (type
== isl_dim_param
)
181 prefix
= s_param_prefix
[latex
];
182 else if (type
== isl_dim_div
)
183 prefix
= s_div_prefix
[latex
];
184 else if (set
|| type
== isl_dim_in
)
185 prefix
= s_input_prefix
[latex
];
187 prefix
= s_output_prefix
[latex
];
188 snprintf(buffer
, sizeof(buffer
), "%s%d", prefix
, pos
);
191 primes
= count_same_name(dim
, name
== buffer
? isl_dim_div
: type
,
193 p
= isl_printer_print_str(p
, name
);
195 p
= isl_printer_print_str(p
, "'");
199 static enum isl_dim_type
pos2type(__isl_keep isl_dim
*dim
, unsigned *pos
)
201 enum isl_dim_type type
;
202 unsigned n_in
= isl_dim_size(dim
, isl_dim_in
);
203 unsigned n_out
= isl_dim_size(dim
, isl_dim_out
);
204 unsigned nparam
= isl_dim_size(dim
, isl_dim_param
);
206 if (*pos
< 1 + nparam
) {
207 type
= isl_dim_param
;
209 } else if (*pos
< 1 + nparam
+ n_in
) {
212 } else if (*pos
< 1 + nparam
+ n_in
+ n_out
) {
214 *pos
-= 1 + nparam
+ n_in
;
217 *pos
-= 1 + nparam
+ n_in
+ n_out
;
223 static __isl_give isl_printer
*print_div(__isl_keep isl_dim
*dim
,
224 __isl_keep isl_mat
*div
, int pos
, __isl_take isl_printer
*p
);
226 static __isl_give isl_printer
*print_term(__isl_keep isl_dim
*dim
,
227 __isl_keep isl_mat
*div
,
228 isl_int c
, unsigned pos
, __isl_take isl_printer
*p
, int set
, int latex
)
230 enum isl_dim_type type
;
234 return isl_printer_print_isl_int(p
, c
);
236 type
= pos2type(dim
, &pos
);
237 print_div_def
= type
== isl_dim_div
&& div
&&
238 !isl_int_is_zero(div
->row
[pos
][0]);
240 if (isl_int_is_one(c
))
242 else if (isl_int_is_negone(c
))
243 p
= isl_printer_print_str(p
, "-");
245 p
= isl_printer_print_isl_int(p
, c
);
246 if (p
->output_format
== ISL_FORMAT_C
|| print_div_def
)
247 p
= isl_printer_print_str(p
, "*");
250 p
= print_div(dim
, div
, pos
, p
);
252 p
= print_name(dim
, p
, type
, pos
, set
, latex
);
256 static __isl_give isl_printer
*print_affine_of_len(__isl_keep isl_dim
*dim
,
257 __isl_keep isl_mat
*div
,
258 __isl_take isl_printer
*p
, isl_int
*c
, int len
, int set
)
263 for (i
= 0, first
= 1; i
< len
; ++i
) {
265 if (isl_int_is_zero(c
[i
]))
268 if (isl_int_is_neg(c
[i
])) {
270 isl_int_neg(c
[i
], c
[i
]);
271 p
= isl_printer_print_str(p
, " - ");
273 p
= isl_printer_print_str(p
, " + ");
276 p
= print_term(dim
, div
, c
[i
], i
, p
, set
, 0);
278 isl_int_neg(c
[i
], c
[i
]);
281 p
= isl_printer_print_str(p
, "0");
285 static __isl_give isl_printer
*print_affine(__isl_keep isl_basic_map
*bmap
,
286 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
, isl_int
*c
, int set
)
288 unsigned len
= 1 + isl_basic_map_total_dim(bmap
);
289 return print_affine_of_len(dim
, NULL
, p
, c
, len
, set
);
292 static int defining_equality(__isl_keep isl_basic_map
*eq
,
293 __isl_keep isl_dim
*dim
, enum isl_dim_type type
, int pos
)
301 pos
+= isl_dim_offset(dim
, type
);
302 total
= isl_basic_map_total_dim(eq
);
304 for (i
= 0; i
< eq
->n_eq
; ++i
) {
305 if (isl_seq_last_non_zero(eq
->eq
[i
] + 1, total
) != pos
)
307 if (isl_int_is_one(eq
->eq
[i
][1 + pos
]))
308 isl_seq_neg(eq
->eq
[i
], eq
->eq
[i
], 1 + total
);
315 /* offset is the offset of local_dim inside global_type of global_dim.
317 static __isl_give isl_printer
*print_nested_var_list(__isl_take isl_printer
*p
,
318 __isl_keep isl_dim
*global_dim
, enum isl_dim_type global_type
,
319 __isl_keep isl_dim
*local_dim
, enum isl_dim_type local_type
,
320 int set
, int latex
, __isl_keep isl_basic_map
*eq
, int offset
)
324 if (global_dim
!= local_dim
&& local_type
== isl_dim_out
)
325 offset
+= local_dim
->n_in
;
327 for (i
= 0; i
< isl_dim_size(local_dim
, local_type
); ++i
) {
329 p
= isl_printer_print_str(p
, ", ");
330 j
= defining_equality(eq
, global_dim
, global_type
, offset
+ i
);
332 int pos
= 1 + isl_dim_offset(global_dim
, global_type
)
334 p
= print_affine_of_len(eq
->dim
, NULL
,
335 p
, eq
->eq
[j
], pos
, set
);
337 p
= print_name(global_dim
, p
, global_type
, offset
+ i
,
344 static __isl_give isl_printer
*print_var_list(__isl_keep isl_dim
*dim
,
345 __isl_take isl_printer
*p
, enum isl_dim_type type
,
346 int set
, int latex
, __isl_keep isl_basic_map
*eq
)
348 return print_nested_var_list(p
, dim
, type
, dim
, type
, set
, latex
, eq
, 0);
351 static __isl_give isl_printer
*print_nested_map_dim(__isl_take isl_printer
*p
,
352 __isl_keep isl_dim
*global_dim
, enum isl_dim_type global_type
,
353 __isl_keep isl_dim
*local_dim
,
354 int set
, int latex
, __isl_keep isl_basic_map
*eq
, int offset
);
356 static __isl_give isl_printer
*print_nested_tuple(__isl_take isl_printer
*p
,
357 __isl_keep isl_dim
*global_dim
, enum isl_dim_type global_type
,
358 __isl_keep isl_dim
*local_dim
, enum isl_dim_type local_type
,
359 int set
, int latex
, __isl_keep isl_basic_map
*eq
, int offset
)
361 const char *name
= NULL
;
362 unsigned n
= isl_dim_size(local_dim
, local_type
);
363 if ((local_type
== isl_dim_in
|| local_type
== isl_dim_out
)) {
364 name
= isl_dim_get_tuple_name(local_dim
, local_type
);
367 p
= isl_printer_print_str(p
, "\\mathrm{");
368 p
= isl_printer_print_str(p
, name
);
370 p
= isl_printer_print_str(p
, "}");
373 if (!latex
|| n
!= 1 || name
)
374 p
= isl_printer_print_str(p
, s_open_list
[latex
]);
375 if ((local_type
== isl_dim_in
|| local_type
== isl_dim_out
) &&
376 local_dim
->nested
[local_type
- isl_dim_in
]) {
377 if (global_dim
!= local_dim
&& local_type
== isl_dim_out
)
378 offset
+= local_dim
->n_in
;
379 p
= print_nested_map_dim(p
, global_dim
, global_type
,
380 local_dim
->nested
[local_type
- isl_dim_in
],
381 set
, latex
, eq
, offset
);
383 p
= print_nested_var_list(p
, global_dim
, global_type
,
384 local_dim
, local_type
, set
, latex
, eq
, offset
);
385 if (!latex
|| n
!= 1 || name
)
386 p
= isl_printer_print_str(p
, s_close_list
[latex
]);
390 static __isl_give isl_printer
*print_tuple(__isl_keep isl_dim
*dim
,
391 __isl_take isl_printer
*p
, enum isl_dim_type type
,
392 int set
, int latex
, __isl_keep isl_basic_map
*eq
)
394 return print_nested_tuple(p
, dim
, type
, dim
, type
, set
, latex
, eq
, 0);
397 static __isl_give isl_printer
*print_nested_map_dim(__isl_take isl_printer
*p
,
398 __isl_keep isl_dim
*global_dim
, enum isl_dim_type global_type
,
399 __isl_keep isl_dim
*local_dim
,
400 int set
, int latex
, __isl_keep isl_basic_map
*eq
, int offset
)
402 p
= print_nested_tuple(p
, global_dim
, global_type
,
403 local_dim
, isl_dim_in
, set
, latex
, eq
, offset
);
404 p
= isl_printer_print_str(p
, s_to
[latex
]);
405 p
= print_nested_tuple(p
, global_dim
, global_type
,
406 local_dim
, isl_dim_out
, set
, latex
, eq
, offset
);
411 static __isl_give isl_printer
*print_dim(__isl_keep isl_dim
*dim
,
412 __isl_take isl_printer
*p
, int set
, int latex
, int rational
,
413 __isl_keep isl_basic_map
*eq
)
415 if (rational
&& !latex
)
416 p
= isl_printer_print_str(p
, "rat: ");
418 p
= print_tuple(dim
, p
, isl_dim_set
, 1, latex
, eq
);
420 p
= print_tuple(dim
, p
, isl_dim_in
, 0, latex
, eq
);
421 p
= isl_printer_print_str(p
, s_to
[latex
]);
422 p
= print_tuple(dim
, p
, isl_dim_out
, 0, latex
, eq
);
428 static __isl_give isl_printer
*print_omega_parameters(__isl_keep isl_dim
*dim
,
429 __isl_take isl_printer
*p
)
431 if (isl_dim_size(dim
, isl_dim_param
) == 0)
434 p
= isl_printer_start_line(p
);
435 p
= isl_printer_print_str(p
, "symbolic ");
436 p
= print_var_list(dim
, p
, isl_dim_param
, 0, 0, NULL
);
437 p
= isl_printer_print_str(p
, ";");
438 p
= isl_printer_end_line(p
);
442 static __isl_give isl_printer
*print_constraint(struct isl_basic_map
*bmap
,
443 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
,
444 isl_int
*c
, int last
, const char *op
, int first_constraint
, int set
,
447 if (!first_constraint
)
448 p
= isl_printer_print_str(p
, s_and
[latex
]);
450 isl_int_abs(c
[last
], c
[last
]);
452 p
= print_term(dim
, NULL
, c
[last
], last
, p
, set
, latex
);
454 p
= isl_printer_print_str(p
, " ");
455 p
= isl_printer_print_str(p
, op
);
456 p
= isl_printer_print_str(p
, " ");
458 isl_int_set_si(c
[last
], 0);
459 p
= print_affine(bmap
, dim
, p
, c
, set
);
464 static __isl_give isl_printer
*print_constraints(__isl_keep isl_basic_map
*bmap
,
465 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
, int set
, int latex
)
469 unsigned total
= isl_basic_map_total_dim(bmap
);
471 c
= isl_vec_alloc(bmap
->ctx
, 1 + total
);
475 for (i
= bmap
->n_eq
- 1; i
>= 0; --i
) {
476 int l
= isl_seq_last_non_zero(bmap
->eq
[i
], 1 + total
);
478 if (i
!= bmap
->n_eq
- 1)
479 p
= isl_printer_print_str(p
, s_and
[latex
]);
480 p
= isl_printer_print_str(p
, "0 = 0");
483 if (isl_int_is_neg(bmap
->eq
[i
][l
]))
484 isl_seq_cpy(c
->el
, bmap
->eq
[i
], 1 + total
);
486 isl_seq_neg(c
->el
, bmap
->eq
[i
], 1 + total
);
487 p
= print_constraint(bmap
, dim
, p
, c
->el
, l
,
488 "=", i
== bmap
->n_eq
- 1, set
, latex
);
490 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
491 int l
= isl_seq_last_non_zero(bmap
->ineq
[i
], 1 + total
);
496 s
= isl_int_sgn(bmap
->ineq
[i
][l
]);
498 isl_seq_cpy(c
->el
, bmap
->ineq
[i
], 1 + total
);
500 isl_seq_neg(c
->el
, bmap
->ineq
[i
], 1 + total
);
501 op
= s
< 0 ? s_le
[latex
] : s_ge
[latex
];
502 p
= print_constraint(bmap
, dim
, p
, c
->el
, l
,
503 op
, !bmap
->n_eq
&& !i
, set
, latex
);
515 static __isl_give isl_printer
*print_omega_constraints(
516 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
, int set
)
518 if (bmap
->n_eq
+ bmap
->n_ineq
== 0)
521 p
= isl_printer_print_str(p
, ": ");
522 if (bmap
->n_div
> 0) {
524 p
= isl_printer_print_str(p
, "exists (");
525 for (i
= 0; i
< bmap
->n_div
; ++i
) {
527 p
= isl_printer_print_str(p
, ", ");
528 p
= print_name(bmap
->dim
, p
, isl_dim_div
, i
, 0, 0);
530 p
= isl_printer_print_str(p
, ": ");
532 p
= print_constraints(bmap
, bmap
->dim
, p
, set
, 0);
534 p
= isl_printer_print_str(p
, ")");
538 static __isl_give isl_printer
*basic_map_print_omega(
539 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
)
541 p
= isl_printer_print_str(p
, "{ [");
542 p
= print_var_list(bmap
->dim
, p
, isl_dim_in
, 0, 0, NULL
);
543 p
= isl_printer_print_str(p
, "] -> [");
544 p
= print_var_list(bmap
->dim
, p
, isl_dim_out
, 0, 0, NULL
);
545 p
= isl_printer_print_str(p
, "] ");
546 p
= print_omega_constraints(bmap
, p
, 0);
547 p
= isl_printer_print_str(p
, " }");
551 static __isl_give isl_printer
*isl_basic_map_print_omega(
552 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
)
554 p
= print_omega_parameters(bmap
->dim
, p
);
556 p
= isl_printer_start_line(p
);
557 p
= basic_map_print_omega(bmap
, p
);
558 p
= isl_printer_end_line(p
);
562 static __isl_give isl_printer
*basic_set_print_omega(
563 __isl_keep isl_basic_set
*bset
, __isl_take isl_printer
*p
)
565 p
= isl_printer_print_str(p
, "{ [");
566 p
= print_var_list(bset
->dim
, p
, isl_dim_set
, 1, 0, NULL
);
567 p
= isl_printer_print_str(p
, "] ");
568 p
= print_omega_constraints((isl_basic_map
*)bset
, p
, 1);
569 p
= isl_printer_print_str(p
, " }");
573 static __isl_give isl_printer
*isl_basic_set_print_omega(
574 __isl_keep isl_basic_set
*bset
, __isl_take isl_printer
*p
)
576 p
= print_omega_parameters(bset
->dim
, p
);
578 p
= isl_printer_start_line(p
);
579 p
= basic_set_print_omega(bset
, p
);
580 p
= isl_printer_end_line(p
);
584 static __isl_give isl_printer
*isl_map_print_omega(__isl_keep isl_map
*map
,
585 __isl_take isl_printer
*p
)
589 p
= print_omega_parameters(map
->dim
, p
);
591 p
= isl_printer_start_line(p
);
592 for (i
= 0; i
< map
->n
; ++i
) {
594 p
= isl_printer_print_str(p
, " union ");
595 p
= basic_map_print_omega(map
->p
[i
], p
);
597 p
= isl_printer_end_line(p
);
601 static __isl_give isl_printer
*isl_set_print_omega(__isl_keep isl_set
*set
,
602 __isl_take isl_printer
*p
)
606 p
= print_omega_parameters(set
->dim
, p
);
608 p
= isl_printer_start_line(p
);
609 for (i
= 0; i
< set
->n
; ++i
) {
611 p
= isl_printer_print_str(p
, " union ");
612 p
= basic_set_print_omega(set
->p
[i
], p
);
614 p
= isl_printer_end_line(p
);
618 static __isl_give isl_printer
*print_disjunct(__isl_keep isl_basic_map
*bmap
,
619 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
, int set
, int latex
)
621 if (bmap
->n_div
> 0) {
623 p
= isl_printer_print_str(p
, s_open_exists
[latex
]);
624 for (i
= 0; i
< bmap
->n_div
; ++i
) {
626 p
= isl_printer_print_str(p
, ", ");
627 p
= print_name(dim
, p
, isl_dim_div
, i
, 0, latex
);
628 if (latex
|| isl_int_is_zero(bmap
->div
[i
][0]))
630 p
= isl_printer_print_str(p
, " = [(");
631 p
= print_affine(bmap
, dim
, p
, bmap
->div
[i
] + 1, set
);
632 p
= isl_printer_print_str(p
, ")/");
633 p
= isl_printer_print_isl_int(p
, bmap
->div
[i
][0]);
634 p
= isl_printer_print_str(p
, "]");
636 p
= isl_printer_print_str(p
, ": ");
639 p
= print_constraints(bmap
, dim
, p
, set
, latex
);
642 p
= isl_printer_print_str(p
, s_close_exists
[latex
]);
646 static __isl_give isl_printer
*isl_basic_map_print_isl(
647 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
,
650 int rational
= ISL_F_ISSET(bmap
, ISL_BASIC_MAP_RATIONAL
);
651 if (isl_basic_map_dim(bmap
, isl_dim_param
) > 0) {
652 p
= print_tuple(bmap
->dim
, p
, isl_dim_param
, 0, latex
, NULL
);
653 p
= isl_printer_print_str(p
, " -> ");
655 p
= isl_printer_print_str(p
, "{ ");
656 p
= print_dim(bmap
->dim
, p
, set
, latex
, rational
, NULL
);
657 p
= isl_printer_print_str(p
, " : ");
658 p
= print_disjunct(bmap
, bmap
->dim
, p
, set
, latex
);
659 p
= isl_printer_print_str(p
, " }");
663 static __isl_give isl_printer
*print_disjuncts(__isl_keep isl_map
*map
,
664 __isl_take isl_printer
*p
, int set
, int latex
)
668 if (isl_map_fast_is_universe(map
))
671 p
= isl_printer_print_str(p
, s_such_that
[latex
]);
673 p
= isl_printer_print_str(p
, "1 = 0");
674 for (i
= 0; i
< map
->n
; ++i
) {
676 p
= isl_printer_print_str(p
, s_or
[latex
]);
677 if (map
->n
> 1 && map
->p
[i
]->n_eq
+ map
->p
[i
]->n_ineq
> 1)
678 p
= isl_printer_print_str(p
, "(");
679 p
= print_disjunct(map
->p
[i
], map
->dim
, p
, set
, latex
);
680 if (map
->n
> 1 && map
->p
[i
]->n_eq
+ map
->p
[i
]->n_ineq
> 1)
681 p
= isl_printer_print_str(p
, ")");
686 struct isl_aff_split
{
691 static void free_split(__isl_take
struct isl_aff_split
*split
, int n
)
698 for (i
= 0; i
< n
; ++i
) {
699 isl_basic_map_free(split
[i
].aff
);
700 isl_map_free(split
[i
].map
);
706 static __isl_give isl_basic_map
*get_aff(__isl_take isl_basic_map
*bmap
)
709 unsigned nparam
, n_in
, n_out
, total
;
711 bmap
= isl_basic_map_cow(bmap
);
714 if (isl_basic_map_free_inequality(bmap
, bmap
->n_ineq
) < 0)
717 nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
718 n_in
= isl_basic_map_dim(bmap
, isl_dim_in
);
719 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
720 total
= isl_basic_map_dim(bmap
, isl_dim_all
);
721 for (i
= bmap
->n_eq
- 1; i
>= 0; --i
) {
722 j
= isl_seq_last_non_zero(bmap
->eq
[i
] + 1, total
);
723 if (j
>= nparam
&& j
< nparam
+ n_in
+ n_out
&&
724 (isl_int_is_one(bmap
->eq
[i
][1 + j
]) ||
725 isl_int_is_negone(bmap
->eq
[i
][1 + j
])))
727 if (isl_basic_map_drop_equality(bmap
, i
) < 0)
731 bmap
= isl_basic_map_finalize(bmap
);
735 isl_basic_map_free(bmap
);
739 static int aff_split_cmp(const void *p1
, const void *p2
)
741 const struct isl_aff_split
*s1
, *s2
;
742 s1
= (const struct isl_aff_split
*) p1
;
743 s2
= (const struct isl_aff_split
*) p2
;
745 return isl_basic_map_fast_cmp(s1
->aff
, s2
->aff
);
748 static __isl_give isl_basic_map
*drop_aff(__isl_take isl_basic_map
*bmap
,
749 __isl_keep isl_basic_map
*aff
)
757 total
= isl_dim_total(bmap
->dim
);
759 for (i
= bmap
->n_eq
- 1; i
>= 0; --i
) {
760 if (isl_seq_first_non_zero(bmap
->eq
[i
] + 1 + total
,
763 for (j
= 0; j
< aff
->n_eq
; ++j
) {
764 if (!isl_seq_eq(bmap
->eq
[i
], aff
->eq
[j
], 1 + total
) &&
765 !isl_seq_is_neg(bmap
->eq
[i
], aff
->eq
[j
], 1 + total
))
767 if (isl_basic_map_drop_equality(bmap
, i
) < 0)
775 isl_basic_map_free(bmap
);
779 static __isl_give
struct isl_aff_split
*split_aff(__isl_keep isl_map
*map
)
782 struct isl_aff_split
*split
;
784 split
= isl_calloc_array(map
->isl
, struct isl_aff_split
, map
->n
);
788 for (i
= 0; i
< map
->n
; ++i
) {
790 split
[i
].aff
= get_aff(isl_basic_map_copy(map
->p
[i
]));
791 bmap
= isl_basic_map_copy(map
->p
[i
]);
792 bmap
= isl_basic_map_cow(bmap
);
793 bmap
= drop_aff(bmap
, split
[i
].aff
);
794 split
[i
].map
= isl_map_from_basic_map(bmap
);
795 if (!split
[i
].aff
|| !split
[i
].map
)
799 qsort(split
, map
->n
, sizeof(struct isl_aff_split
), &aff_split_cmp
);
802 for (i
= n
- 1; i
>= 1; --i
) {
803 if (!isl_basic_map_fast_is_equal(split
[i
- 1].aff
,
806 isl_basic_map_free(split
[i
].aff
);
807 split
[i
- 1].map
= isl_map_union(split
[i
- 1].map
,
810 split
[i
] = split
[n
- 1];
811 split
[n
- 1].aff
= NULL
;
812 split
[n
- 1].map
= NULL
;
818 free_split(split
, map
->n
);
822 static __isl_give isl_printer
*print_split_map(__isl_take isl_printer
*p
,
823 struct isl_aff_split
*split
, int n
, int set
)
828 for (i
= 0; i
< n
; ++i
) {
833 dim
= split
[i
].map
->dim
;
834 rational
= split
[i
].map
->n
> 0 &&
835 ISL_F_ISSET(split
[i
].map
->p
[0], ISL_BASIC_MAP_RATIONAL
);
837 p
= isl_printer_print_str(p
, "; ");
838 p
= print_dim(dim
, p
, set
, 0, rational
, split
[i
].aff
);
839 p
= print_disjuncts(split
[i
].map
, p
, set
, 0);
845 static __isl_give isl_printer
*isl_map_print_isl_body(__isl_keep isl_map
*map
,
846 __isl_take isl_printer
*p
, int set
)
848 struct isl_aff_split
*split
= NULL
;
852 split
= split_aff(map
);
854 p
= print_split_map(p
, split
, map
->n
, set
);
856 rational
= map
->n
> 0 &&
857 ISL_F_ISSET(map
->p
[0], ISL_BASIC_MAP_RATIONAL
);
858 p
= print_dim(map
->dim
, p
, set
, 0, rational
, NULL
);
859 p
= print_disjuncts(map
, p
, set
, 0);
861 free_split(split
, map
->n
);
865 static __isl_give isl_printer
*isl_map_print_isl(__isl_keep isl_map
*map
,
866 __isl_take isl_printer
*p
, int set
)
868 if (isl_map_dim(map
, isl_dim_param
) > 0) {
869 p
= print_tuple(map
->dim
, p
, isl_dim_param
, set
, 0, NULL
);
870 p
= isl_printer_print_str(p
, s_to
[0]);
872 p
= isl_printer_print_str(p
, s_open_set
[0]);
873 p
= isl_map_print_isl_body(map
, p
, set
);
874 p
= isl_printer_print_str(p
, s_close_set
[0]);
878 static __isl_give isl_printer
*print_latex_map(__isl_keep isl_map
*map
,
879 __isl_take isl_printer
*p
, __isl_keep isl_basic_map
*aff
, int set
)
881 if (isl_map_dim(map
, isl_dim_param
) > 0) {
882 p
= print_tuple(map
->dim
, p
, isl_dim_param
, set
, 1, NULL
);
883 p
= isl_printer_print_str(p
, s_to
[1]);
885 p
= isl_printer_print_str(p
, s_open_set
[1]);
886 p
= print_dim(map
->dim
, p
, set
, 1, 0, aff
);
887 p
= print_disjuncts(map
, p
, set
, 1);
888 p
= isl_printer_print_str(p
, s_close_set
[1]);
893 static __isl_give isl_printer
*isl_map_print_latex(__isl_keep isl_map
*map
,
894 __isl_take isl_printer
*p
, int set
)
897 struct isl_aff_split
*split
= NULL
;
900 split
= split_aff(map
);
903 return print_latex_map(map
, p
, NULL
, set
);
905 for (i
= 0; i
< map
->n
; ++i
) {
909 p
= isl_printer_print_str(p
, " \\cup ");
910 p
= print_latex_map(split
[i
].map
, p
, split
[i
].aff
, set
);
913 free_split(split
, map
->n
);
917 __isl_give isl_printer
*isl_printer_print_basic_map(__isl_take isl_printer
*p
,
918 __isl_keep isl_basic_map
*bmap
)
922 if (p
->output_format
== ISL_FORMAT_ISL
)
923 return isl_basic_map_print_isl(bmap
, p
, 0, 0);
924 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
925 return isl_basic_map_print_omega(bmap
, p
);
926 isl_assert(bmap
->ctx
, 0, goto error
);
932 void isl_basic_map_print(__isl_keep isl_basic_map
*bmap
, FILE *out
, int indent
,
933 const char *prefix
, const char *suffix
, unsigned output_format
)
935 isl_printer
*printer
;
940 printer
= isl_printer_to_file(bmap
->ctx
, out
);
941 printer
= isl_printer_set_indent(printer
, indent
);
942 printer
= isl_printer_set_prefix(printer
, prefix
);
943 printer
= isl_printer_set_suffix(printer
, suffix
);
944 printer
= isl_printer_set_output_format(printer
, output_format
);
945 isl_printer_print_basic_map(printer
, bmap
);
947 isl_printer_free(printer
);
950 __isl_give isl_printer
*isl_printer_print_basic_set(__isl_take isl_printer
*p
,
951 __isl_keep isl_basic_set
*bset
)
956 if (p
->output_format
== ISL_FORMAT_ISL
)
957 return isl_basic_map_print_isl(bset
, p
, 1, 0);
958 else if (p
->output_format
== ISL_FORMAT_POLYLIB
)
959 return isl_basic_set_print_polylib(bset
, p
, 0);
960 else if (p
->output_format
== ISL_FORMAT_EXT_POLYLIB
)
961 return isl_basic_set_print_polylib(bset
, p
, 1);
962 else if (p
->output_format
== ISL_FORMAT_POLYLIB_CONSTRAINTS
)
963 return bset_print_constraints_polylib(bset
, p
);
964 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
965 return isl_basic_set_print_omega(bset
, p
);
966 isl_assert(p
->ctx
, 0, goto error
);
972 void isl_basic_set_print(struct isl_basic_set
*bset
, FILE *out
, int indent
,
973 const char *prefix
, const char *suffix
, unsigned output_format
)
975 isl_printer
*printer
;
980 printer
= isl_printer_to_file(bset
->ctx
, out
);
981 printer
= isl_printer_set_indent(printer
, indent
);
982 printer
= isl_printer_set_prefix(printer
, prefix
);
983 printer
= isl_printer_set_suffix(printer
, suffix
);
984 printer
= isl_printer_set_output_format(printer
, output_format
);
985 isl_printer_print_basic_set(printer
, bset
);
987 isl_printer_free(printer
);
990 __isl_give isl_printer
*isl_printer_print_set(__isl_take isl_printer
*p
,
991 __isl_keep isl_set
*set
)
995 if (p
->output_format
== ISL_FORMAT_ISL
)
996 return isl_map_print_isl((isl_map
*)set
, p
, 1);
997 else if (p
->output_format
== ISL_FORMAT_POLYLIB
)
998 return isl_set_print_polylib(set
, p
, 0);
999 else if (p
->output_format
== ISL_FORMAT_EXT_POLYLIB
)
1000 return isl_set_print_polylib(set
, p
, 1);
1001 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
1002 return isl_set_print_omega(set
, p
);
1003 else if (p
->output_format
== ISL_FORMAT_LATEX
)
1004 return isl_map_print_latex((isl_map
*)set
, p
, 1);
1005 isl_assert(set
->ctx
, 0, goto error
);
1007 isl_printer_free(p
);
1011 void isl_set_print(struct isl_set
*set
, FILE *out
, int indent
,
1012 unsigned output_format
)
1014 isl_printer
*printer
;
1019 printer
= isl_printer_to_file(set
->ctx
, out
);
1020 printer
= isl_printer_set_indent(printer
, indent
);
1021 printer
= isl_printer_set_output_format(printer
, output_format
);
1022 printer
= isl_printer_print_set(printer
, set
);
1024 isl_printer_free(printer
);
1027 __isl_give isl_printer
*isl_printer_print_map(__isl_take isl_printer
*p
,
1028 __isl_keep isl_map
*map
)
1033 if (p
->output_format
== ISL_FORMAT_ISL
)
1034 return isl_map_print_isl(map
, p
, 0);
1035 else if (p
->output_format
== ISL_FORMAT_POLYLIB
)
1036 return isl_map_print_polylib(map
, p
, 0);
1037 else if (p
->output_format
== ISL_FORMAT_EXT_POLYLIB
)
1038 return isl_map_print_polylib(map
, p
, 1);
1039 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
1040 return isl_map_print_omega(map
, p
);
1041 else if (p
->output_format
== ISL_FORMAT_LATEX
)
1042 return isl_map_print_latex(map
, p
, 0);
1043 isl_assert(map
->ctx
, 0, goto error
);
1045 isl_printer_free(p
);
1049 struct isl_union_print_data
{
1055 static int print_map_body(__isl_take isl_map
*map
, void *user
)
1057 struct isl_union_print_data
*data
;
1058 data
= (struct isl_union_print_data
*)user
;
1061 data
->p
= isl_printer_print_str(data
->p
, "; ");
1064 data
->p
= isl_map_print_isl_body(map
, data
->p
, data
->set
);
1070 static __isl_give isl_printer
*isl_union_map_print_isl(
1071 __isl_keep isl_union_map
*umap
, __isl_take isl_printer
*p
, int set
)
1073 struct isl_union_print_data data
= { p
, set
, 1 };
1075 dim
= isl_union_map_get_dim(umap
);
1076 if (isl_dim_size(dim
, isl_dim_param
) > 0) {
1077 p
= print_tuple(dim
, p
, isl_dim_param
, set
, 0, NULL
);
1078 p
= isl_printer_print_str(p
, s_to
[0]);
1081 p
= isl_printer_print_str(p
, s_open_set
[0]);
1082 isl_union_map_foreach_map(umap
, &print_map_body
, &data
);
1084 p
= isl_printer_print_str(p
, s_close_set
[0]);
1088 static int print_latex_map_body(__isl_take isl_map
*map
, void *user
)
1090 struct isl_union_print_data
*data
;
1091 data
= (struct isl_union_print_data
*)user
;
1094 data
->p
= isl_printer_print_str(data
->p
, " \\cup ");
1097 data
->p
= isl_map_print_latex(map
, data
->p
, data
->set
);
1103 static __isl_give isl_printer
*isl_union_map_print_latex(
1104 __isl_keep isl_union_map
*umap
, __isl_take isl_printer
*p
, int set
)
1106 struct isl_union_print_data data
= { p
, set
, 1 };
1107 isl_union_map_foreach_map(umap
, &print_latex_map_body
, &data
);
1112 __isl_give isl_printer
*isl_printer_print_union_map(__isl_take isl_printer
*p
,
1113 __isl_keep isl_union_map
*umap
)
1118 if (p
->output_format
== ISL_FORMAT_ISL
)
1119 return isl_union_map_print_isl(umap
, p
, 0);
1120 if (p
->output_format
== ISL_FORMAT_LATEX
)
1121 return isl_union_map_print_latex(umap
, p
, 0);
1123 isl_die(p
->ctx
, isl_error_invalid
,
1124 "invalid output format for isl_union_map", goto error
);
1126 isl_printer_free(p
);
1130 __isl_give isl_printer
*isl_printer_print_union_set(__isl_take isl_printer
*p
,
1131 __isl_keep isl_union_set
*uset
)
1136 if (p
->output_format
== ISL_FORMAT_ISL
)
1137 return isl_union_map_print_isl((isl_union_map
*)uset
, p
, 1);
1138 if (p
->output_format
== ISL_FORMAT_LATEX
)
1139 return isl_union_map_print_latex((isl_union_map
*)uset
, p
, 1);
1141 isl_die(p
->ctx
, isl_error_invalid
,
1142 "invalid output format for isl_union_set", goto error
);
1144 isl_printer_free(p
);
1148 void isl_map_print(__isl_keep isl_map
*map
, FILE *out
, int indent
,
1149 unsigned output_format
)
1151 isl_printer
*printer
;
1156 printer
= isl_printer_to_file(map
->ctx
, out
);
1157 printer
= isl_printer_set_indent(printer
, indent
);
1158 printer
= isl_printer_set_output_format(printer
, output_format
);
1159 printer
= isl_printer_print_map(printer
, map
);
1161 isl_printer_free(printer
);
1164 void isl_basic_map_dump(__isl_keep isl_basic_map
*bmap
)
1166 isl_printer
*printer
;
1171 printer
= isl_printer_to_file(isl_basic_map_get_ctx(bmap
), stderr
);
1172 printer
= isl_printer_print_basic_map(printer
, bmap
);
1173 printer
= isl_printer_end_line(printer
);
1175 isl_printer_free(printer
);
1178 void isl_basic_set_dump(__isl_keep isl_basic_set
*bset
)
1180 isl_printer
*printer
;
1185 printer
= isl_printer_to_file(isl_basic_set_get_ctx(bset
), stderr
);
1186 printer
= isl_printer_print_basic_set(printer
, bset
);
1187 printer
= isl_printer_end_line(printer
);
1189 isl_printer_free(printer
);
1192 void isl_map_dump(__isl_keep isl_map
*map
)
1194 isl_printer
*printer
;
1199 printer
= isl_printer_to_file(isl_map_get_ctx(map
), stderr
);
1200 printer
= isl_printer_print_map(printer
, map
);
1201 printer
= isl_printer_end_line(printer
);
1203 isl_printer_free(printer
);
1206 void isl_set_dump(__isl_keep isl_set
*set
)
1208 isl_printer
*printer
;
1213 printer
= isl_printer_to_file(isl_set_get_ctx(set
), stderr
);
1214 printer
= isl_printer_print_set(printer
, set
);
1215 printer
= isl_printer_end_line(printer
);
1217 isl_printer_free(printer
);
1220 void isl_union_map_dump(__isl_keep isl_union_map
*umap
)
1222 isl_printer
*printer
;
1227 printer
= isl_printer_to_file(isl_union_map_get_ctx(umap
), stderr
);
1228 printer
= isl_printer_print_union_map(printer
, umap
);
1229 printer
= isl_printer_end_line(printer
);
1231 isl_printer_free(printer
);
1234 void isl_union_set_dump(__isl_keep isl_union_set
*uset
)
1236 isl_printer
*printer
;
1241 printer
= isl_printer_to_file(isl_union_set_get_ctx(uset
), stderr
);
1242 printer
= isl_printer_print_union_set(printer
, uset
);
1243 printer
= isl_printer_end_line(printer
);
1245 isl_printer_free(printer
);
1248 void isl_union_pw_qpolynomial_dump(__isl_keep isl_union_pw_qpolynomial
*upwqp
)
1250 isl_printer
*printer
;
1255 printer
= isl_printer_to_file(isl_union_pw_qpolynomial_get_ctx(upwqp
),
1257 printer
= isl_printer_print_union_pw_qpolynomial(printer
, upwqp
);
1258 printer
= isl_printer_end_line(printer
);
1260 isl_printer_free(printer
);
1263 void isl_qpolynomial_dump(__isl_keep isl_qpolynomial
*qp
)
1265 isl_printer
*printer
;
1270 printer
= isl_printer_to_file(isl_qpolynomial_get_ctx(qp
), stderr
);
1271 printer
= isl_printer_print_qpolynomial(printer
, qp
);
1272 printer
= isl_printer_end_line(printer
);
1274 isl_printer_free(printer
);
1277 void isl_qpolynomial_fold_dump(__isl_keep isl_qpolynomial_fold
*fold
)
1279 isl_printer
*printer
;
1284 printer
= isl_printer_to_file(isl_qpolynomial_fold_get_ctx(fold
),
1286 printer
= isl_printer_print_qpolynomial_fold(printer
, fold
);
1287 printer
= isl_printer_end_line(printer
);
1289 isl_printer_free(printer
);
1292 void isl_pw_qpolynomial_dump(__isl_keep isl_pw_qpolynomial
*pwqp
)
1294 isl_printer
*printer
;
1299 printer
= isl_printer_to_file(isl_pw_qpolynomial_get_ctx(pwqp
), stderr
);
1300 printer
= isl_printer_print_pw_qpolynomial(printer
, pwqp
);
1301 printer
= isl_printer_end_line(printer
);
1303 isl_printer_free(printer
);
1306 void isl_pw_qpolynomial_fold_dump(__isl_keep isl_pw_qpolynomial_fold
*pwf
)
1308 isl_printer
*printer
;
1313 printer
= isl_printer_to_file(
1314 isl_pw_qpolynomial_fold_get_ctx(pwf
), stderr
);
1315 printer
= isl_printer_print_pw_qpolynomial_fold(printer
, pwf
);
1316 printer
= isl_printer_end_line(printer
);
1318 isl_printer_free(printer
);
1321 void isl_union_pw_qpolynomial_fold_dump(
1322 __isl_keep isl_union_pw_qpolynomial_fold
*upwf
)
1324 isl_printer
*printer
;
1329 printer
= isl_printer_to_file(
1330 isl_union_pw_qpolynomial_fold_get_ctx(upwf
), stderr
);
1331 printer
= isl_printer_print_union_pw_qpolynomial_fold(printer
, upwf
);
1332 printer
= isl_printer_end_line(printer
);
1334 isl_printer_free(printer
);
1337 static int upoly_rec_n_non_zero(__isl_keep
struct isl_upoly_rec
*rec
)
1342 for (i
= 0, n
= 0; i
< rec
->n
; ++i
)
1343 if (!isl_upoly_is_zero(rec
->p
[i
]))
1349 static __isl_give isl_printer
*print_div(__isl_keep isl_dim
*dim
,
1350 __isl_keep isl_mat
*div
, int pos
, __isl_take isl_printer
*p
)
1352 int c
= p
->output_format
== ISL_FORMAT_C
;
1353 p
= isl_printer_print_str(p
, c
? "floord(" : "[(");
1354 p
= print_affine_of_len(dim
, div
, p
,
1355 div
->row
[pos
] + 1, div
->n_col
- 1, 1);
1356 p
= isl_printer_print_str(p
, c
? ", " : ")/");
1357 p
= isl_printer_print_isl_int(p
, div
->row
[pos
][0]);
1358 p
= isl_printer_print_str(p
, c
? ")" : "]");
1362 static __isl_give isl_printer
*upoly_print_cst(__isl_keep
struct isl_upoly
*up
,
1363 __isl_take isl_printer
*p
, int first
)
1365 struct isl_upoly_cst
*cst
;
1368 cst
= isl_upoly_as_cst(up
);
1371 neg
= !first
&& isl_int_is_neg(cst
->n
);
1373 p
= isl_printer_print_str(p
, neg
? " - " : " + ");
1375 isl_int_neg(cst
->n
, cst
->n
);
1376 if (isl_int_is_zero(cst
->d
)) {
1377 int sgn
= isl_int_sgn(cst
->n
);
1378 p
= isl_printer_print_str(p
, sgn
< 0 ? "-infty" :
1379 sgn
== 0 ? "NaN" : "infty");
1381 p
= isl_printer_print_isl_int(p
, cst
->n
);
1383 isl_int_neg(cst
->n
, cst
->n
);
1384 if (!isl_int_is_zero(cst
->d
) && !isl_int_is_one(cst
->d
)) {
1385 p
= isl_printer_print_str(p
, "/");
1386 p
= isl_printer_print_isl_int(p
, cst
->d
);
1390 isl_printer_free(p
);
1394 static __isl_give isl_printer
*print_base(__isl_take isl_printer
*p
,
1395 __isl_keep isl_dim
*dim
, __isl_keep isl_mat
*div
, int var
)
1399 total
= isl_dim_total(dim
);
1401 p
= print_term(dim
, NULL
, dim
->ctx
->one
, 1 + var
, p
, 1, 0);
1403 p
= print_div(dim
, div
, var
- total
, p
);
1407 static __isl_give isl_printer
*print_pow(__isl_take isl_printer
*p
,
1408 __isl_keep isl_dim
*dim
, __isl_keep isl_mat
*div
, int var
, int exp
)
1410 p
= print_base(p
, dim
, div
, var
);
1413 if (p
->output_format
== ISL_FORMAT_C
) {
1415 for (i
= 1; i
< exp
; ++i
) {
1416 p
= isl_printer_print_str(p
, "*");
1417 p
= print_base(p
, dim
, div
, var
);
1420 p
= isl_printer_print_str(p
, "^");
1421 p
= isl_printer_print_int(p
, exp
);
1426 static __isl_give isl_printer
*upoly_print(__isl_keep
struct isl_upoly
*up
,
1427 __isl_keep isl_dim
*dim
, __isl_keep isl_mat
*div
,
1428 __isl_take isl_printer
*p
, int outer
)
1430 int i
, n
, first
, print_parens
;
1431 struct isl_upoly_rec
*rec
;
1433 if (!p
|| !up
|| !dim
|| !div
)
1436 if (isl_upoly_is_cst(up
))
1437 return upoly_print_cst(up
, p
, 1);
1439 rec
= isl_upoly_as_rec(up
);
1442 n
= upoly_rec_n_non_zero(rec
);
1443 print_parens
= n
> 1 || (outer
&& rec
->up
.var
>= isl_dim_total(dim
));
1445 p
= isl_printer_print_str(p
, "(");
1446 for (i
= 0, first
= 1; i
< rec
->n
; ++i
) {
1447 if (isl_upoly_is_zero(rec
->p
[i
]))
1449 if (isl_upoly_is_negone(rec
->p
[i
])) {
1451 p
= isl_printer_print_str(p
, "-1");
1453 p
= isl_printer_print_str(p
, "-");
1455 p
= isl_printer_print_str(p
, " - ");
1456 } else if (isl_upoly_is_cst(rec
->p
[i
]) &&
1457 !isl_upoly_is_one(rec
->p
[i
]))
1458 p
= upoly_print_cst(rec
->p
[i
], p
, first
);
1461 p
= isl_printer_print_str(p
, " + ");
1462 if (i
== 0 || !isl_upoly_is_one(rec
->p
[i
]))
1463 p
= upoly_print(rec
->p
[i
], dim
, div
, p
, 0);
1468 if (!isl_upoly_is_one(rec
->p
[i
]) &&
1469 !isl_upoly_is_negone(rec
->p
[i
]))
1470 p
= isl_printer_print_str(p
, " * ");
1471 p
= print_pow(p
, dim
, div
, rec
->up
.var
, i
);
1474 p
= isl_printer_print_str(p
, ")");
1477 isl_printer_free(p
);
1481 __isl_give isl_printer
*isl_printer_print_qpolynomial(__isl_take isl_printer
*p
,
1482 __isl_keep isl_qpolynomial
*qp
)
1486 p
= upoly_print(qp
->upoly
, qp
->dim
, qp
->div
, p
, 1);
1489 isl_printer_free(p
);
1493 void isl_qpolynomial_print(__isl_keep isl_qpolynomial
*qp
, FILE *out
,
1494 unsigned output_format
)
1501 isl_assert(qp
->dim
->ctx
, output_format
== ISL_FORMAT_ISL
, return);
1502 p
= isl_printer_to_file(qp
->dim
->ctx
, out
);
1503 p
= isl_printer_print_qpolynomial(p
, qp
);
1504 isl_printer_free(p
);
1507 static __isl_give isl_printer
*qpolynomial_fold_print(
1508 __isl_keep isl_qpolynomial_fold
*fold
, __isl_take isl_printer
*p
)
1512 if (fold
->type
== isl_fold_min
)
1513 p
= isl_printer_print_str(p
, "min");
1514 else if (fold
->type
== isl_fold_max
)
1515 p
= isl_printer_print_str(p
, "max");
1516 p
= isl_printer_print_str(p
, "(");
1517 for (i
= 0; i
< fold
->n
; ++i
) {
1519 p
= isl_printer_print_str(p
, ", ");
1520 p
= isl_printer_print_qpolynomial(p
, fold
->qp
[i
]);
1522 p
= isl_printer_print_str(p
, ")");
1526 void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold
*fold
,
1527 FILE *out
, unsigned output_format
)
1534 isl_assert(fold
->dim
->ctx
, output_format
== ISL_FORMAT_ISL
, return);
1536 p
= isl_printer_to_file(fold
->dim
->ctx
, out
);
1537 p
= isl_printer_print_qpolynomial_fold(p
, fold
);
1539 isl_printer_free(p
);
1542 static __isl_give isl_printer
*isl_pwqp_print_isl_body(
1543 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1547 for (i
= 0; i
< pwqp
->n
; ++i
) {
1549 p
= isl_printer_print_str(p
, "; ");
1550 if (isl_dim_size(pwqp
->dim
, isl_dim_set
) > 0 ||
1551 isl_dim_is_named_or_nested(pwqp
->dim
, isl_dim_set
)) {
1552 p
= print_dim(pwqp
->p
[i
].set
->dim
, p
, 1, 0, 0, NULL
);
1553 p
= isl_printer_print_str(p
, " -> ");
1555 p
= isl_printer_print_qpolynomial(p
, pwqp
->p
[i
].qp
);
1556 p
= print_disjuncts((isl_map
*)pwqp
->p
[i
].set
, p
, 1, 0);
1562 static __isl_give isl_printer
*print_pw_qpolynomial_isl(
1563 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1568 if (isl_dim_size(pwqp
->dim
, isl_dim_param
) > 0) {
1569 p
= print_tuple(pwqp
->dim
, p
, isl_dim_param
, 0, 0, NULL
);
1570 p
= isl_printer_print_str(p
, " -> ");
1572 p
= isl_printer_print_str(p
, "{ ");
1574 if (isl_dim_size(pwqp
->dim
, isl_dim_set
) > 0 ||
1575 isl_dim_is_named_or_nested(pwqp
->dim
, isl_dim_set
)) {
1576 p
= print_dim(pwqp
->dim
, p
, 1, 0, 0, NULL
);
1577 p
= isl_printer_print_str(p
, " -> ");
1579 p
= isl_printer_print_str(p
, "0");
1581 p
= isl_pwqp_print_isl_body(p
, pwqp
);
1582 p
= isl_printer_print_str(p
, " }");
1585 isl_printer_free(p
);
1589 void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial
*pwqp
, FILE *out
,
1590 unsigned output_format
)
1597 p
= isl_printer_to_file(pwqp
->dim
->ctx
, out
);
1598 p
= isl_printer_set_output_format(p
, output_format
);
1599 p
= isl_printer_print_pw_qpolynomial(p
, pwqp
);
1601 isl_printer_free(p
);
1604 static __isl_give isl_printer
*isl_pwf_print_isl_body(
1605 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1609 for (i
= 0; i
< pwf
->n
; ++i
) {
1611 p
= isl_printer_print_str(p
, "; ");
1612 if (isl_dim_size(pwf
->dim
, isl_dim_set
) > 0 ||
1613 isl_dim_is_named_or_nested(pwf
->dim
, isl_dim_set
)) {
1614 p
= print_dim(pwf
->p
[i
].set
->dim
, p
, 1, 0, 0, NULL
);
1615 p
= isl_printer_print_str(p
, " -> ");
1617 p
= qpolynomial_fold_print(pwf
->p
[i
].fold
, p
);
1618 p
= print_disjuncts((isl_map
*)pwf
->p
[i
].set
, p
, 1, 0);
1624 static __isl_give isl_printer
*print_pw_qpolynomial_fold_isl(
1625 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1627 if (isl_dim_size(pwf
->dim
, isl_dim_param
) > 0) {
1628 p
= print_tuple(pwf
->dim
, p
, isl_dim_param
, 0, 0, NULL
);
1629 p
= isl_printer_print_str(p
, " -> ");
1631 p
= isl_printer_print_str(p
, "{ ");
1633 if (isl_dim_size(pwf
->dim
, isl_dim_set
) > 0 ||
1634 isl_dim_is_named_or_nested(pwf
->dim
, isl_dim_set
)) {
1635 p
= print_dim(pwf
->dim
, p
, 1, 0, 0, NULL
);
1636 p
= isl_printer_print_str(p
, " -> ");
1638 p
= isl_printer_print_str(p
, "0");
1640 p
= isl_pwf_print_isl_body(p
, pwf
);
1641 p
= isl_printer_print_str(p
, " }");
1645 static __isl_give isl_printer
*print_affine_c(__isl_take isl_printer
*p
,
1646 __isl_keep isl_dim
*dim
, __isl_keep isl_basic_set
*bset
, isl_int
*c
);
1648 static __isl_give isl_printer
*print_name_c(__isl_take isl_printer
*p
,
1649 __isl_keep isl_dim
*dim
,
1650 __isl_keep isl_basic_set
*bset
, enum isl_dim_type type
, unsigned pos
)
1652 if (type
== isl_dim_div
) {
1653 p
= isl_printer_print_str(p
, "floord(");
1654 p
= print_affine_c(p
, dim
, bset
, bset
->div
[pos
] + 1);
1655 p
= isl_printer_print_str(p
, ", ");
1656 p
= isl_printer_print_isl_int(p
, bset
->div
[pos
][0]);
1657 p
= isl_printer_print_str(p
, ")");
1661 name
= isl_dim_get_name(dim
, type
, pos
);
1664 p
= isl_printer_print_str(p
, name
);
1669 static __isl_give isl_printer
*print_term_c(__isl_take isl_printer
*p
,
1670 __isl_keep isl_dim
*dim
,
1671 __isl_keep isl_basic_set
*bset
, isl_int c
, unsigned pos
)
1673 enum isl_dim_type type
;
1674 unsigned nparam
= isl_basic_set_dim(bset
, isl_dim_param
);
1677 return isl_printer_print_isl_int(p
, c
);
1679 if (isl_int_is_one(c
))
1681 else if (isl_int_is_negone(c
))
1682 p
= isl_printer_print_str(p
, "-");
1684 p
= isl_printer_print_isl_int(p
, c
);
1685 p
= isl_printer_print_str(p
, "*");
1687 type
= pos2type(dim
, &pos
);
1688 p
= print_name_c(p
, dim
, bset
, type
, pos
);
1692 static __isl_give isl_printer
*print_partial_affine_c(__isl_take isl_printer
*p
,
1693 __isl_keep isl_dim
*dim
,
1694 __isl_keep isl_basic_set
*bset
, isl_int
*c
, unsigned len
)
1699 for (i
= 0, first
= 1; i
< len
; ++i
) {
1701 if (isl_int_is_zero(c
[i
]))
1704 if (isl_int_is_neg(c
[i
])) {
1706 isl_int_neg(c
[i
], c
[i
]);
1707 p
= isl_printer_print_str(p
, " - ");
1709 p
= isl_printer_print_str(p
, " + ");
1712 p
= print_term_c(p
, dim
, bset
, c
[i
], i
);
1714 isl_int_neg(c
[i
], c
[i
]);
1717 p
= isl_printer_print_str(p
, "0");
1721 static __isl_give isl_printer
*print_affine_c(__isl_take isl_printer
*p
,
1722 __isl_keep isl_dim
*dim
, __isl_keep isl_basic_set
*bset
, isl_int
*c
)
1724 unsigned len
= 1 + isl_basic_set_total_dim(bset
);
1725 return print_partial_affine_c(p
, dim
, bset
, c
, len
);
1728 static __isl_give isl_printer
*print_constraint_c(__isl_take isl_printer
*p
,
1729 __isl_keep isl_dim
*dim
,
1730 __isl_keep isl_basic_set
*bset
, isl_int
*c
, const char *op
, int first
)
1733 p
= isl_printer_print_str(p
, " && ");
1735 p
= print_affine_c(p
, dim
, bset
, c
);
1736 p
= isl_printer_print_str(p
, " ");
1737 p
= isl_printer_print_str(p
, op
);
1738 p
= isl_printer_print_str(p
, " 0");
1742 static __isl_give isl_printer
*print_basic_set_c(__isl_take isl_printer
*p
,
1743 __isl_keep isl_dim
*dim
, __isl_keep isl_basic_set
*bset
)
1746 unsigned n_div
= isl_basic_set_dim(bset
, isl_dim_div
);
1747 unsigned total
= isl_basic_set_total_dim(bset
) - n_div
;
1749 for (i
= 0; i
< bset
->n_eq
; ++i
) {
1750 j
= isl_seq_last_non_zero(bset
->eq
[i
] + 1 + total
, n_div
);
1752 p
= print_constraint_c(p
, dim
, bset
,
1753 bset
->eq
[i
], "==", !i
);
1756 p
= isl_printer_print_str(p
, " && ");
1757 p
= isl_printer_print_str(p
, "(");
1758 p
= print_partial_affine_c(p
, dim
, bset
, bset
->eq
[i
],
1760 p
= isl_printer_print_str(p
, ") % ");
1761 p
= isl_printer_print_isl_int(p
,
1762 bset
->eq
[i
][1 + total
+ j
]);
1763 p
= isl_printer_print_str(p
, " == 0");
1766 for (i
= 0; i
< bset
->n_ineq
; ++i
)
1767 p
= print_constraint_c(p
, dim
, bset
, bset
->ineq
[i
], ">=",
1772 static __isl_give isl_printer
*print_set_c(__isl_take isl_printer
*p
,
1773 __isl_keep isl_dim
*dim
, __isl_keep isl_set
*set
)
1778 p
= isl_printer_print_str(p
, "0");
1780 for (i
= 0; i
< set
->n
; ++i
) {
1782 p
= isl_printer_print_str(p
, " || ");
1784 p
= isl_printer_print_str(p
, "(");
1785 p
= print_basic_set_c(p
, dim
, set
->p
[i
]);
1787 p
= isl_printer_print_str(p
, ")");
1792 static __isl_give isl_printer
*print_qpolynomial_c(__isl_take isl_printer
*p
,
1793 __isl_keep isl_dim
*dim
, __isl_keep isl_qpolynomial
*qp
)
1798 isl_qpolynomial_get_den(qp
, &den
);
1799 if (!isl_int_is_one(den
)) {
1801 p
= isl_printer_print_str(p
, "(");
1802 qp
= isl_qpolynomial_copy(qp
);
1803 f
= isl_qpolynomial_rat_cst(isl_dim_copy(qp
->dim
),
1804 den
, qp
->dim
->ctx
->one
);
1805 qp
= isl_qpolynomial_mul(qp
, f
);
1808 p
= upoly_print(qp
->upoly
, dim
, qp
->div
, p
, 0);
1809 if (!isl_int_is_one(den
)) {
1810 p
= isl_printer_print_str(p
, ")/");
1811 p
= isl_printer_print_isl_int(p
, den
);
1812 isl_qpolynomial_free(qp
);
1818 static __isl_give isl_printer
*print_pw_qpolynomial_c(
1819 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1823 if (pwqp
->n
== 1 && isl_set_fast_is_universe(pwqp
->p
[0].set
))
1824 return print_qpolynomial_c(p
, pwqp
->dim
, pwqp
->p
[0].qp
);
1826 for (i
= 0; i
< pwqp
->n
; ++i
) {
1827 p
= isl_printer_print_str(p
, "(");
1828 p
= print_set_c(p
, pwqp
->dim
, pwqp
->p
[i
].set
);
1829 p
= isl_printer_print_str(p
, ") ? (");
1830 p
= print_qpolynomial_c(p
, pwqp
->dim
, pwqp
->p
[i
].qp
);
1831 p
= isl_printer_print_str(p
, ") : ");
1834 p
= isl_printer_print_str(p
, "0");
1838 __isl_give isl_printer
*isl_printer_print_pw_qpolynomial(
1839 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1844 if (p
->output_format
== ISL_FORMAT_ISL
)
1845 return print_pw_qpolynomial_isl(p
, pwqp
);
1846 else if (p
->output_format
== ISL_FORMAT_C
)
1847 return print_pw_qpolynomial_c(p
, pwqp
);
1848 isl_assert(p
->ctx
, 0, goto error
);
1850 isl_printer_free(p
);
1854 static int print_pwqp_body(__isl_take isl_pw_qpolynomial
*pwqp
, void *user
)
1856 struct isl_union_print_data
*data
;
1857 data
= (struct isl_union_print_data
*)user
;
1860 data
->p
= isl_printer_print_str(data
->p
, "; ");
1863 data
->p
= isl_pwqp_print_isl_body(data
->p
, pwqp
);
1864 isl_pw_qpolynomial_free(pwqp
);
1869 static __isl_give isl_printer
*print_union_pw_qpolynomial_isl(
1870 __isl_take isl_printer
*p
, __isl_keep isl_union_pw_qpolynomial
*upwqp
)
1872 struct isl_union_print_data data
= { p
, 1, 1 };
1874 dim
= isl_union_pw_qpolynomial_get_dim(upwqp
);
1875 if (isl_dim_size(dim
, isl_dim_param
) > 0) {
1876 p
= print_tuple(dim
, p
, isl_dim_param
, 1, 0, NULL
);
1877 p
= isl_printer_print_str(p
, " -> ");
1880 p
= isl_printer_print_str(p
, "{ ");
1881 isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp
, &print_pwqp_body
,
1884 p
= isl_printer_print_str(p
, " }");
1888 __isl_give isl_printer
*isl_printer_print_union_pw_qpolynomial(
1889 __isl_take isl_printer
*p
, __isl_keep isl_union_pw_qpolynomial
*upwqp
)
1894 if (p
->output_format
== ISL_FORMAT_ISL
)
1895 return print_union_pw_qpolynomial_isl(p
, upwqp
);
1896 isl_die(p
->ctx
, isl_error_invalid
,
1897 "invalid output format for isl_union_pw_qpolynomial",
1900 isl_printer_free(p
);
1904 static __isl_give isl_printer
*print_qpolynomial_fold_c(
1905 __isl_take isl_printer
*p
, __isl_keep isl_dim
*dim
,
1906 __isl_keep isl_qpolynomial_fold
*fold
)
1910 for (i
= 0; i
< fold
->n
- 1; ++i
)
1911 if (fold
->type
== isl_fold_min
)
1912 p
= isl_printer_print_str(p
, "min(");
1913 else if (fold
->type
== isl_fold_max
)
1914 p
= isl_printer_print_str(p
, "max(");
1916 for (i
= 0; i
< fold
->n
; ++i
) {
1918 p
= isl_printer_print_str(p
, ", ");
1919 p
= print_qpolynomial_c(p
, dim
, fold
->qp
[i
]);
1921 p
= isl_printer_print_str(p
, ")");
1926 __isl_give isl_printer
*isl_printer_print_qpolynomial_fold(
1927 __isl_take isl_printer
*p
, __isl_keep isl_qpolynomial_fold
*fold
)
1931 if (p
->output_format
== ISL_FORMAT_ISL
)
1932 return qpolynomial_fold_print(fold
, p
);
1933 else if (p
->output_format
== ISL_FORMAT_C
)
1934 return print_qpolynomial_fold_c(p
, fold
->dim
, fold
);
1935 isl_die(p
->ctx
, isl_error_unsupported
, "unsupported output format",
1938 isl_printer_free(p
);
1942 static __isl_give isl_printer
*print_pw_qpolynomial_fold_c(
1943 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1947 if (pwf
->n
== 1 && isl_set_fast_is_universe(pwf
->p
[0].set
))
1948 return print_qpolynomial_fold_c(p
, pwf
->dim
, pwf
->p
[0].fold
);
1950 for (i
= 0; i
< pwf
->n
; ++i
) {
1951 p
= isl_printer_print_str(p
, "(");
1952 p
= print_set_c(p
, pwf
->dim
, pwf
->p
[i
].set
);
1953 p
= isl_printer_print_str(p
, ") ? (");
1954 p
= print_qpolynomial_fold_c(p
, pwf
->dim
, pwf
->p
[i
].fold
);
1955 p
= isl_printer_print_str(p
, ") : ");
1958 p
= isl_printer_print_str(p
, "0");
1962 __isl_give isl_printer
*isl_printer_print_pw_qpolynomial_fold(
1963 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1968 if (p
->output_format
== ISL_FORMAT_ISL
)
1969 return print_pw_qpolynomial_fold_isl(p
, pwf
);
1970 else if (p
->output_format
== ISL_FORMAT_C
)
1971 return print_pw_qpolynomial_fold_c(p
, pwf
);
1972 isl_assert(p
->ctx
, 0, goto error
);
1974 isl_printer_free(p
);
1978 void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold
*pwf
,
1979 FILE *out
, unsigned output_format
)
1986 p
= isl_printer_to_file(pwf
->dim
->ctx
, out
);
1987 p
= isl_printer_set_output_format(p
, output_format
);
1988 p
= isl_printer_print_pw_qpolynomial_fold(p
, pwf
);
1990 isl_printer_free(p
);
1993 static int print_pwf_body(__isl_take isl_pw_qpolynomial_fold
*pwf
, void *user
)
1995 struct isl_union_print_data
*data
;
1996 data
= (struct isl_union_print_data
*)user
;
1999 data
->p
= isl_printer_print_str(data
->p
, "; ");
2002 data
->p
= isl_pwf_print_isl_body(data
->p
, pwf
);
2003 isl_pw_qpolynomial_fold_free(pwf
);
2008 static __isl_give isl_printer
*print_union_pw_qpolynomial_fold_isl(
2009 __isl_take isl_printer
*p
,
2010 __isl_keep isl_union_pw_qpolynomial_fold
*upwf
)
2012 struct isl_union_print_data data
= { p
, 1, 1 };
2014 dim
= isl_union_pw_qpolynomial_fold_get_dim(upwf
);
2015 if (isl_dim_size(dim
, isl_dim_param
) > 0) {
2016 p
= print_tuple(dim
, p
, isl_dim_param
, 1, 0, NULL
);
2017 p
= isl_printer_print_str(p
, " -> ");
2020 p
= isl_printer_print_str(p
, "{ ");
2021 isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(upwf
,
2022 &print_pwf_body
, &data
);
2024 p
= isl_printer_print_str(p
, " }");
2028 __isl_give isl_printer
*isl_printer_print_union_pw_qpolynomial_fold(
2029 __isl_take isl_printer
*p
,
2030 __isl_keep isl_union_pw_qpolynomial_fold
*upwf
)
2035 if (p
->output_format
== ISL_FORMAT_ISL
)
2036 return print_union_pw_qpolynomial_fold_isl(p
, upwf
);
2037 isl_die(p
->ctx
, isl_error_invalid
,
2038 "invalid output format for isl_union_pw_qpolynomial_fold",
2041 isl_printer_free(p
);