2 * Copyright 2008-2009 Katholieke Universiteit Leuven
3 * Copyright 2010 INRIA Saclay
5 * Use of this software is governed by the GNU LGPLv2.1 license
7 * Written by Sven Verdoolaege, K.U.Leuven, Departement
8 * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
9 * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
10 * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
15 #include <isl_ctx_private.h>
16 #include <isl_map_private.h>
19 #include <isl_polynomial_private.h>
20 #include <isl_printer_private.h>
21 #include <isl_dim_private.h>
22 #include <isl_mat_private.h>
23 #include <isl/union_map.h>
24 #include <isl/constraint.h>
26 static const char *s_to
[2] = { " -> ", " \\to " };
27 static const char *s_and
[2] = { " and ", " \\wedge " };
28 static const char *s_or
[2] = { " or ", " \\vee " };
29 static const char *s_le
[2] = { "<=", "\\le" };
30 static const char *s_ge
[2] = { ">=", "\\ge" };
31 static const char *s_open_set
[2] = { "{ ", "\\{\\, " };
32 static const char *s_close_set
[2] = { " }", " \\,\\}" };
33 static const char *s_open_list
[2] = { "[", "(" };
34 static const char *s_close_list
[2] = { "]", ")" };
35 static const char *s_such_that
[2] = { " : ", " \\mid " };
36 static const char *s_open_exists
[2] = { "exists (", "\\exists \\, " };
37 static const char *s_close_exists
[2] = { ")", "" };
38 static const char *s_div_prefix
[2] = { "e", "\\alpha_" };
39 static const char *s_param_prefix
[2] = { "p", "p_" };
40 static const char *s_input_prefix
[2] = { "i", "i_" };
41 static const char *s_output_prefix
[2] = { "o", "o_" };
43 static __isl_give isl_printer
*print_constraint_polylib(
44 struct isl_basic_map
*bmap
, int ineq
, int n
, __isl_take isl_printer
*p
)
47 unsigned n_in
= isl_basic_map_dim(bmap
, isl_dim_in
);
48 unsigned n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
49 unsigned nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
50 isl_int
*c
= ineq
? bmap
->ineq
[n
] : bmap
->eq
[n
];
52 p
= isl_printer_start_line(p
);
53 p
= isl_printer_print_int(p
, ineq
);
54 for (i
= 0; i
< n_out
; ++i
) {
55 p
= isl_printer_print_str(p
, " ");
56 p
= isl_printer_print_isl_int(p
, c
[1+nparam
+n_in
+i
]);
58 for (i
= 0; i
< n_in
; ++i
) {
59 p
= isl_printer_print_str(p
, " ");
60 p
= isl_printer_print_isl_int(p
, c
[1+nparam
+i
]);
62 for (i
= 0; i
< bmap
->n_div
; ++i
) {
63 p
= isl_printer_print_str(p
, " ");
64 p
= isl_printer_print_isl_int(p
, c
[1+nparam
+n_in
+n_out
+i
]);
66 for (i
= 0; i
< nparam
; ++i
) {
67 p
= isl_printer_print_str(p
, " ");
68 p
= isl_printer_print_isl_int(p
, c
[1+i
]);
70 p
= isl_printer_print_str(p
, " ");
71 p
= isl_printer_print_isl_int(p
, c
[0]);
72 p
= isl_printer_end_line(p
);
76 static __isl_give isl_printer
*print_constraints_polylib(
77 struct isl_basic_map
*bmap
, __isl_take isl_printer
*p
)
81 p
= isl_printer_set_isl_int_width(p
, 5);
83 for (i
= 0; i
< bmap
->n_eq
; ++i
)
84 p
= print_constraint_polylib(bmap
, 0, i
, p
);
85 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
86 p
= print_constraint_polylib(bmap
, 1, i
, p
);
91 static __isl_give isl_printer
*bset_print_constraints_polylib(
92 struct isl_basic_set
*bset
, __isl_take isl_printer
*p
)
94 return print_constraints_polylib((struct isl_basic_map
*)bset
, p
);
97 static __isl_give isl_printer
*isl_basic_map_print_polylib(
98 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
, int ext
)
100 unsigned total
= isl_basic_map_total_dim(bmap
);
101 p
= isl_printer_start_line(p
);
102 p
= isl_printer_print_int(p
, bmap
->n_eq
+ bmap
->n_ineq
);
103 p
= isl_printer_print_str(p
, " ");
104 p
= isl_printer_print_int(p
, 1 + total
+ 1);
106 p
= isl_printer_print_str(p
, " ");
107 p
= isl_printer_print_int(p
,
108 isl_basic_map_dim(bmap
, isl_dim_out
));
109 p
= isl_printer_print_str(p
, " ");
110 p
= isl_printer_print_int(p
,
111 isl_basic_map_dim(bmap
, isl_dim_in
));
112 p
= isl_printer_print_str(p
, " ");
113 p
= isl_printer_print_int(p
,
114 isl_basic_map_dim(bmap
, isl_dim_div
));
115 p
= isl_printer_print_str(p
, " ");
116 p
= isl_printer_print_int(p
,
117 isl_basic_map_dim(bmap
, isl_dim_param
));
119 p
= isl_printer_end_line(p
);
120 return print_constraints_polylib(bmap
, p
);
123 static __isl_give isl_printer
*isl_basic_set_print_polylib(
124 __isl_keep isl_basic_set
*bset
, __isl_take isl_printer
*p
, int ext
)
126 return isl_basic_map_print_polylib((struct isl_basic_map
*)bset
, p
, ext
);
129 static __isl_give isl_printer
*isl_map_print_polylib(__isl_keep isl_map
*map
,
130 __isl_take isl_printer
*p
, int ext
)
134 p
= isl_printer_start_line(p
);
135 p
= isl_printer_print_int(p
, map
->n
);
136 p
= isl_printer_end_line(p
);
137 for (i
= 0; i
< map
->n
; ++i
) {
138 p
= isl_printer_start_line(p
);
139 p
= isl_printer_end_line(p
);
140 p
= isl_basic_map_print_polylib(map
->p
[i
], p
, ext
);
145 static __isl_give isl_printer
*isl_set_print_polylib(__isl_keep isl_set
*set
,
146 __isl_take isl_printer
*p
, int ext
)
148 return isl_map_print_polylib((struct isl_map
*)set
, p
, ext
);
151 static int count_same_name(__isl_keep isl_dim
*dim
,
152 enum isl_dim_type type
, unsigned pos
, const char *name
)
158 for (t
= isl_dim_param
; t
<= type
&& t
<= isl_dim_out
; ++t
) {
159 s
= t
== type
? pos
: isl_dim_size(dim
, t
);
160 for (p
= 0; p
< s
; ++p
) {
161 const char *n
= isl_dim_get_name(dim
, t
, p
);
162 if (n
&& !strcmp(n
, name
))
169 static __isl_give isl_printer
*print_name(__isl_keep isl_dim
*dim
,
170 __isl_take isl_printer
*p
, enum isl_dim_type type
, unsigned pos
,
177 name
= type
== isl_dim_div
? NULL
: isl_dim_get_name(dim
, type
, pos
);
181 if (type
== isl_dim_param
)
182 prefix
= s_param_prefix
[latex
];
183 else if (type
== isl_dim_div
)
184 prefix
= s_div_prefix
[latex
];
185 else if (set
|| type
== isl_dim_in
)
186 prefix
= s_input_prefix
[latex
];
188 prefix
= s_output_prefix
[latex
];
189 snprintf(buffer
, sizeof(buffer
), "%s%d", prefix
, pos
);
192 primes
= count_same_name(dim
, name
== buffer
? isl_dim_div
: type
,
194 p
= isl_printer_print_str(p
, name
);
196 p
= isl_printer_print_str(p
, "'");
200 static enum isl_dim_type
pos2type(__isl_keep isl_dim
*dim
, unsigned *pos
)
202 enum isl_dim_type type
;
203 unsigned n_in
= isl_dim_size(dim
, isl_dim_in
);
204 unsigned n_out
= isl_dim_size(dim
, isl_dim_out
);
205 unsigned nparam
= isl_dim_size(dim
, isl_dim_param
);
207 if (*pos
< 1 + nparam
) {
208 type
= isl_dim_param
;
210 } else if (*pos
< 1 + nparam
+ n_in
) {
213 } else if (*pos
< 1 + nparam
+ n_in
+ n_out
) {
215 *pos
-= 1 + nparam
+ n_in
;
218 *pos
-= 1 + nparam
+ n_in
+ n_out
;
224 static __isl_give isl_printer
*print_div(__isl_keep isl_dim
*dim
,
225 __isl_keep isl_mat
*div
, int pos
, __isl_take isl_printer
*p
);
227 static __isl_give isl_printer
*print_term(__isl_keep isl_dim
*dim
,
228 __isl_keep isl_mat
*div
,
229 isl_int c
, unsigned pos
, __isl_take isl_printer
*p
, int set
, int latex
)
231 enum isl_dim_type type
;
235 return isl_printer_print_isl_int(p
, c
);
237 type
= pos2type(dim
, &pos
);
238 print_div_def
= type
== isl_dim_div
&& div
&&
239 !isl_int_is_zero(div
->row
[pos
][0]);
241 if (isl_int_is_one(c
))
243 else if (isl_int_is_negone(c
))
244 p
= isl_printer_print_str(p
, "-");
246 p
= isl_printer_print_isl_int(p
, c
);
247 if (p
->output_format
== ISL_FORMAT_C
|| print_div_def
)
248 p
= isl_printer_print_str(p
, "*");
251 p
= print_div(dim
, div
, pos
, p
);
253 p
= print_name(dim
, p
, type
, pos
, set
, latex
);
257 static __isl_give isl_printer
*print_affine_of_len(__isl_keep isl_dim
*dim
,
258 __isl_keep isl_mat
*div
,
259 __isl_take isl_printer
*p
, isl_int
*c
, int len
, int set
)
264 for (i
= 0, first
= 1; i
< len
; ++i
) {
266 if (isl_int_is_zero(c
[i
]))
269 if (isl_int_is_neg(c
[i
])) {
271 isl_int_neg(c
[i
], c
[i
]);
272 p
= isl_printer_print_str(p
, " - ");
274 p
= isl_printer_print_str(p
, " + ");
277 p
= print_term(dim
, div
, c
[i
], i
, p
, set
, 0);
279 isl_int_neg(c
[i
], c
[i
]);
282 p
= isl_printer_print_str(p
, "0");
286 static __isl_give isl_printer
*print_affine(__isl_keep isl_basic_map
*bmap
,
287 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
, isl_int
*c
, int set
)
289 unsigned len
= 1 + isl_basic_map_total_dim(bmap
);
290 return print_affine_of_len(dim
, NULL
, p
, c
, len
, set
);
293 static int defining_equality(__isl_keep isl_basic_map
*eq
,
294 __isl_keep isl_dim
*dim
, enum isl_dim_type type
, int pos
)
302 pos
+= isl_dim_offset(dim
, type
);
303 total
= isl_basic_map_total_dim(eq
);
305 for (i
= 0; i
< eq
->n_eq
; ++i
) {
306 if (isl_seq_last_non_zero(eq
->eq
[i
] + 1, total
) != pos
)
308 if (isl_int_is_one(eq
->eq
[i
][1 + pos
]))
309 isl_seq_neg(eq
->eq
[i
], eq
->eq
[i
], 1 + total
);
316 /* offset is the offset of local_dim inside global_type of global_dim.
318 static __isl_give isl_printer
*print_nested_var_list(__isl_take isl_printer
*p
,
319 __isl_keep isl_dim
*global_dim
, enum isl_dim_type global_type
,
320 __isl_keep isl_dim
*local_dim
, enum isl_dim_type local_type
,
321 int set
, int latex
, __isl_keep isl_basic_map
*eq
, int offset
)
325 if (global_dim
!= local_dim
&& local_type
== isl_dim_out
)
326 offset
+= local_dim
->n_in
;
328 for (i
= 0; i
< isl_dim_size(local_dim
, local_type
); ++i
) {
330 p
= isl_printer_print_str(p
, ", ");
331 j
= defining_equality(eq
, global_dim
, global_type
, offset
+ i
);
333 int pos
= 1 + isl_dim_offset(global_dim
, global_type
)
335 p
= print_affine_of_len(eq
->dim
, NULL
,
336 p
, eq
->eq
[j
], pos
, set
);
338 p
= print_name(global_dim
, p
, global_type
, offset
+ i
,
345 static __isl_give isl_printer
*print_var_list(__isl_keep isl_dim
*dim
,
346 __isl_take isl_printer
*p
, enum isl_dim_type type
,
347 int set
, int latex
, __isl_keep isl_basic_map
*eq
)
349 return print_nested_var_list(p
, dim
, type
, dim
, type
, set
, latex
, eq
, 0);
352 static __isl_give isl_printer
*print_nested_map_dim(__isl_take isl_printer
*p
,
353 __isl_keep isl_dim
*global_dim
, enum isl_dim_type global_type
,
354 __isl_keep isl_dim
*local_dim
,
355 int set
, int latex
, __isl_keep isl_basic_map
*eq
, int offset
);
357 static __isl_give isl_printer
*print_nested_tuple(__isl_take isl_printer
*p
,
358 __isl_keep isl_dim
*global_dim
, enum isl_dim_type global_type
,
359 __isl_keep isl_dim
*local_dim
, enum isl_dim_type local_type
,
360 int set
, int latex
, __isl_keep isl_basic_map
*eq
, int offset
)
362 const char *name
= NULL
;
363 unsigned n
= isl_dim_size(local_dim
, local_type
);
364 if ((local_type
== isl_dim_in
|| local_type
== isl_dim_out
)) {
365 name
= isl_dim_get_tuple_name(local_dim
, local_type
);
368 p
= isl_printer_print_str(p
, "\\mathrm{");
369 p
= isl_printer_print_str(p
, name
);
371 p
= isl_printer_print_str(p
, "}");
374 if (!latex
|| n
!= 1 || name
)
375 p
= isl_printer_print_str(p
, s_open_list
[latex
]);
376 if ((local_type
== isl_dim_in
|| local_type
== isl_dim_out
) &&
377 local_dim
->nested
[local_type
- isl_dim_in
]) {
378 if (global_dim
!= local_dim
&& local_type
== isl_dim_out
)
379 offset
+= local_dim
->n_in
;
380 p
= print_nested_map_dim(p
, global_dim
, global_type
,
381 local_dim
->nested
[local_type
- isl_dim_in
],
382 set
, latex
, eq
, offset
);
384 p
= print_nested_var_list(p
, global_dim
, global_type
,
385 local_dim
, local_type
, set
, latex
, eq
, offset
);
386 if (!latex
|| n
!= 1 || name
)
387 p
= isl_printer_print_str(p
, s_close_list
[latex
]);
391 static __isl_give isl_printer
*print_tuple(__isl_keep isl_dim
*dim
,
392 __isl_take isl_printer
*p
, enum isl_dim_type type
,
393 int set
, int latex
, __isl_keep isl_basic_map
*eq
)
395 return print_nested_tuple(p
, dim
, type
, dim
, type
, set
, latex
, eq
, 0);
398 static __isl_give isl_printer
*print_nested_map_dim(__isl_take isl_printer
*p
,
399 __isl_keep isl_dim
*global_dim
, enum isl_dim_type global_type
,
400 __isl_keep isl_dim
*local_dim
,
401 int set
, int latex
, __isl_keep isl_basic_map
*eq
, int offset
)
403 p
= print_nested_tuple(p
, global_dim
, global_type
,
404 local_dim
, isl_dim_in
, set
, latex
, eq
, offset
);
405 p
= isl_printer_print_str(p
, s_to
[latex
]);
406 p
= print_nested_tuple(p
, global_dim
, global_type
,
407 local_dim
, isl_dim_out
, set
, latex
, eq
, offset
);
412 static __isl_give isl_printer
*print_dim(__isl_keep isl_dim
*dim
,
413 __isl_take isl_printer
*p
, int set
, int latex
, int rational
,
414 __isl_keep isl_basic_map
*eq
)
416 if (rational
&& !latex
)
417 p
= isl_printer_print_str(p
, "rat: ");
419 p
= print_tuple(dim
, p
, isl_dim_set
, 1, latex
, eq
);
421 p
= print_tuple(dim
, p
, isl_dim_in
, 0, latex
, eq
);
422 p
= isl_printer_print_str(p
, s_to
[latex
]);
423 p
= print_tuple(dim
, p
, isl_dim_out
, 0, latex
, eq
);
429 static __isl_give isl_printer
*print_omega_parameters(__isl_keep isl_dim
*dim
,
430 __isl_take isl_printer
*p
)
432 if (isl_dim_size(dim
, isl_dim_param
) == 0)
435 p
= isl_printer_start_line(p
);
436 p
= isl_printer_print_str(p
, "symbolic ");
437 p
= print_var_list(dim
, p
, isl_dim_param
, 0, 0, NULL
);
438 p
= isl_printer_print_str(p
, ";");
439 p
= isl_printer_end_line(p
);
443 static __isl_give isl_printer
*print_constraint(struct isl_basic_map
*bmap
,
444 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
,
445 isl_int
*c
, int last
, const char *op
, int first_constraint
, int set
,
448 if (!first_constraint
)
449 p
= isl_printer_print_str(p
, s_and
[latex
]);
451 isl_int_abs(c
[last
], c
[last
]);
453 p
= print_term(dim
, NULL
, c
[last
], last
, p
, set
, latex
);
455 p
= isl_printer_print_str(p
, " ");
456 p
= isl_printer_print_str(p
, op
);
457 p
= isl_printer_print_str(p
, " ");
459 isl_int_set_si(c
[last
], 0);
460 p
= print_affine(bmap
, dim
, p
, c
, set
);
465 static __isl_give isl_printer
*print_constraints(__isl_keep isl_basic_map
*bmap
,
466 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
, int set
, int latex
)
470 unsigned total
= isl_basic_map_total_dim(bmap
);
472 c
= isl_vec_alloc(bmap
->ctx
, 1 + total
);
476 for (i
= bmap
->n_eq
- 1; i
>= 0; --i
) {
477 int l
= isl_seq_last_non_zero(bmap
->eq
[i
], 1 + total
);
479 if (i
!= bmap
->n_eq
- 1)
480 p
= isl_printer_print_str(p
, s_and
[latex
]);
481 p
= isl_printer_print_str(p
, "0 = 0");
484 if (isl_int_is_neg(bmap
->eq
[i
][l
]))
485 isl_seq_cpy(c
->el
, bmap
->eq
[i
], 1 + total
);
487 isl_seq_neg(c
->el
, bmap
->eq
[i
], 1 + total
);
488 p
= print_constraint(bmap
, dim
, p
, c
->el
, l
,
489 "=", i
== bmap
->n_eq
- 1, set
, latex
);
491 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
492 int l
= isl_seq_last_non_zero(bmap
->ineq
[i
], 1 + total
);
497 s
= isl_int_sgn(bmap
->ineq
[i
][l
]);
499 isl_seq_cpy(c
->el
, bmap
->ineq
[i
], 1 + total
);
501 isl_seq_neg(c
->el
, bmap
->ineq
[i
], 1 + total
);
502 op
= s
< 0 ? s_le
[latex
] : s_ge
[latex
];
503 p
= print_constraint(bmap
, dim
, p
, c
->el
, l
,
504 op
, !bmap
->n_eq
&& !i
, set
, latex
);
516 static __isl_give isl_printer
*print_omega_constraints(
517 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
, int set
)
519 if (bmap
->n_eq
+ bmap
->n_ineq
== 0)
522 p
= isl_printer_print_str(p
, ": ");
523 if (bmap
->n_div
> 0) {
525 p
= isl_printer_print_str(p
, "exists (");
526 for (i
= 0; i
< bmap
->n_div
; ++i
) {
528 p
= isl_printer_print_str(p
, ", ");
529 p
= print_name(bmap
->dim
, p
, isl_dim_div
, i
, 0, 0);
531 p
= isl_printer_print_str(p
, ": ");
533 p
= print_constraints(bmap
, bmap
->dim
, p
, set
, 0);
535 p
= isl_printer_print_str(p
, ")");
539 static __isl_give isl_printer
*basic_map_print_omega(
540 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
)
542 p
= isl_printer_print_str(p
, "{ [");
543 p
= print_var_list(bmap
->dim
, p
, isl_dim_in
, 0, 0, NULL
);
544 p
= isl_printer_print_str(p
, "] -> [");
545 p
= print_var_list(bmap
->dim
, p
, isl_dim_out
, 0, 0, NULL
);
546 p
= isl_printer_print_str(p
, "] ");
547 p
= print_omega_constraints(bmap
, p
, 0);
548 p
= isl_printer_print_str(p
, " }");
552 static __isl_give isl_printer
*isl_basic_map_print_omega(
553 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
)
555 p
= print_omega_parameters(bmap
->dim
, p
);
557 p
= isl_printer_start_line(p
);
558 p
= basic_map_print_omega(bmap
, p
);
559 p
= isl_printer_end_line(p
);
563 static __isl_give isl_printer
*basic_set_print_omega(
564 __isl_keep isl_basic_set
*bset
, __isl_take isl_printer
*p
)
566 p
= isl_printer_print_str(p
, "{ [");
567 p
= print_var_list(bset
->dim
, p
, isl_dim_set
, 1, 0, NULL
);
568 p
= isl_printer_print_str(p
, "] ");
569 p
= print_omega_constraints((isl_basic_map
*)bset
, p
, 1);
570 p
= isl_printer_print_str(p
, " }");
574 static __isl_give isl_printer
*isl_basic_set_print_omega(
575 __isl_keep isl_basic_set
*bset
, __isl_take isl_printer
*p
)
577 p
= print_omega_parameters(bset
->dim
, p
);
579 p
= isl_printer_start_line(p
);
580 p
= basic_set_print_omega(bset
, p
);
581 p
= isl_printer_end_line(p
);
585 static __isl_give isl_printer
*isl_map_print_omega(__isl_keep isl_map
*map
,
586 __isl_take isl_printer
*p
)
590 p
= print_omega_parameters(map
->dim
, p
);
592 p
= isl_printer_start_line(p
);
593 for (i
= 0; i
< map
->n
; ++i
) {
595 p
= isl_printer_print_str(p
, " union ");
596 p
= basic_map_print_omega(map
->p
[i
], p
);
598 p
= isl_printer_end_line(p
);
602 static __isl_give isl_printer
*isl_set_print_omega(__isl_keep isl_set
*set
,
603 __isl_take isl_printer
*p
)
607 p
= print_omega_parameters(set
->dim
, p
);
609 p
= isl_printer_start_line(p
);
610 for (i
= 0; i
< set
->n
; ++i
) {
612 p
= isl_printer_print_str(p
, " union ");
613 p
= basic_set_print_omega(set
->p
[i
], p
);
615 p
= isl_printer_end_line(p
);
619 static __isl_give isl_printer
*print_disjunct(__isl_keep isl_basic_map
*bmap
,
620 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
, int set
, int latex
)
622 if (bmap
->n_div
> 0) {
624 p
= isl_printer_print_str(p
, s_open_exists
[latex
]);
625 for (i
= 0; i
< bmap
->n_div
; ++i
) {
627 p
= isl_printer_print_str(p
, ", ");
628 p
= print_name(dim
, p
, isl_dim_div
, i
, 0, latex
);
629 if (latex
|| isl_int_is_zero(bmap
->div
[i
][0]))
631 p
= isl_printer_print_str(p
, " = [(");
632 p
= print_affine(bmap
, dim
, p
, bmap
->div
[i
] + 1, set
);
633 p
= isl_printer_print_str(p
, ")/");
634 p
= isl_printer_print_isl_int(p
, bmap
->div
[i
][0]);
635 p
= isl_printer_print_str(p
, "]");
637 p
= isl_printer_print_str(p
, ": ");
640 p
= print_constraints(bmap
, dim
, p
, set
, latex
);
643 p
= isl_printer_print_str(p
, s_close_exists
[latex
]);
647 static __isl_give isl_printer
*isl_basic_map_print_isl(
648 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
,
651 int rational
= ISL_F_ISSET(bmap
, ISL_BASIC_MAP_RATIONAL
);
652 if (isl_basic_map_dim(bmap
, isl_dim_param
) > 0) {
653 p
= print_tuple(bmap
->dim
, p
, isl_dim_param
, 0, latex
, NULL
);
654 p
= isl_printer_print_str(p
, " -> ");
656 p
= isl_printer_print_str(p
, "{ ");
657 p
= print_dim(bmap
->dim
, p
, set
, latex
, rational
, NULL
);
658 p
= isl_printer_print_str(p
, " : ");
659 p
= print_disjunct(bmap
, bmap
->dim
, p
, set
, latex
);
660 p
= isl_printer_print_str(p
, " }");
664 static __isl_give isl_printer
*print_disjuncts(__isl_keep isl_map
*map
,
665 __isl_take isl_printer
*p
, int set
, int latex
)
669 if (isl_map_plain_is_universe(map
))
672 p
= isl_printer_print_str(p
, s_such_that
[latex
]);
674 p
= isl_printer_print_str(p
, "1 = 0");
675 for (i
= 0; i
< map
->n
; ++i
) {
677 p
= isl_printer_print_str(p
, s_or
[latex
]);
678 if (map
->n
> 1 && map
->p
[i
]->n_eq
+ map
->p
[i
]->n_ineq
> 1)
679 p
= isl_printer_print_str(p
, "(");
680 p
= print_disjunct(map
->p
[i
], map
->dim
, p
, set
, latex
);
681 if (map
->n
> 1 && map
->p
[i
]->n_eq
+ map
->p
[i
]->n_ineq
> 1)
682 p
= isl_printer_print_str(p
, ")");
687 struct isl_aff_split
{
692 static void free_split(__isl_take
struct isl_aff_split
*split
, int n
)
699 for (i
= 0; i
< n
; ++i
) {
700 isl_basic_map_free(split
[i
].aff
);
701 isl_map_free(split
[i
].map
);
707 static __isl_give isl_basic_map
*get_aff(__isl_take isl_basic_map
*bmap
)
710 unsigned nparam
, n_in
, n_out
, total
;
712 bmap
= isl_basic_map_cow(bmap
);
715 if (isl_basic_map_free_inequality(bmap
, bmap
->n_ineq
) < 0)
718 nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
719 n_in
= isl_basic_map_dim(bmap
, isl_dim_in
);
720 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
721 total
= isl_basic_map_dim(bmap
, isl_dim_all
);
722 for (i
= bmap
->n_eq
- 1; i
>= 0; --i
) {
723 j
= isl_seq_last_non_zero(bmap
->eq
[i
] + 1, total
);
724 if (j
>= nparam
&& j
< nparam
+ n_in
+ n_out
&&
725 (isl_int_is_one(bmap
->eq
[i
][1 + j
]) ||
726 isl_int_is_negone(bmap
->eq
[i
][1 + j
])))
728 if (isl_basic_map_drop_equality(bmap
, i
) < 0)
732 bmap
= isl_basic_map_finalize(bmap
);
736 isl_basic_map_free(bmap
);
740 static int aff_split_cmp(const void *p1
, const void *p2
)
742 const struct isl_aff_split
*s1
, *s2
;
743 s1
= (const struct isl_aff_split
*) p1
;
744 s2
= (const struct isl_aff_split
*) p2
;
746 return isl_basic_map_plain_cmp(s1
->aff
, s2
->aff
);
749 static __isl_give isl_basic_map
*drop_aff(__isl_take isl_basic_map
*bmap
,
750 __isl_keep isl_basic_map
*aff
)
758 total
= isl_dim_total(bmap
->dim
);
760 for (i
= bmap
->n_eq
- 1; i
>= 0; --i
) {
761 if (isl_seq_first_non_zero(bmap
->eq
[i
] + 1 + total
,
764 for (j
= 0; j
< aff
->n_eq
; ++j
) {
765 if (!isl_seq_eq(bmap
->eq
[i
], aff
->eq
[j
], 1 + total
) &&
766 !isl_seq_is_neg(bmap
->eq
[i
], aff
->eq
[j
], 1 + total
))
768 if (isl_basic_map_drop_equality(bmap
, i
) < 0)
776 isl_basic_map_free(bmap
);
780 static __isl_give
struct isl_aff_split
*split_aff(__isl_keep isl_map
*map
)
783 struct isl_aff_split
*split
;
785 split
= isl_calloc_array(map
->isl
, struct isl_aff_split
, map
->n
);
789 for (i
= 0; i
< map
->n
; ++i
) {
791 split
[i
].aff
= get_aff(isl_basic_map_copy(map
->p
[i
]));
792 bmap
= isl_basic_map_copy(map
->p
[i
]);
793 bmap
= isl_basic_map_cow(bmap
);
794 bmap
= drop_aff(bmap
, split
[i
].aff
);
795 split
[i
].map
= isl_map_from_basic_map(bmap
);
796 if (!split
[i
].aff
|| !split
[i
].map
)
800 qsort(split
, map
->n
, sizeof(struct isl_aff_split
), &aff_split_cmp
);
803 for (i
= n
- 1; i
>= 1; --i
) {
804 if (!isl_basic_map_plain_is_equal(split
[i
- 1].aff
,
807 isl_basic_map_free(split
[i
].aff
);
808 split
[i
- 1].map
= isl_map_union(split
[i
- 1].map
,
811 split
[i
] = split
[n
- 1];
812 split
[n
- 1].aff
= NULL
;
813 split
[n
- 1].map
= NULL
;
819 free_split(split
, map
->n
);
823 static __isl_give isl_printer
*print_split_map(__isl_take isl_printer
*p
,
824 struct isl_aff_split
*split
, int n
, int set
)
829 for (i
= 0; i
< n
; ++i
) {
834 dim
= split
[i
].map
->dim
;
835 rational
= split
[i
].map
->n
> 0 &&
836 ISL_F_ISSET(split
[i
].map
->p
[0], ISL_BASIC_MAP_RATIONAL
);
838 p
= isl_printer_print_str(p
, "; ");
839 p
= print_dim(dim
, p
, set
, 0, rational
, split
[i
].aff
);
840 p
= print_disjuncts(split
[i
].map
, p
, set
, 0);
846 static __isl_give isl_printer
*isl_map_print_isl_body(__isl_keep isl_map
*map
,
847 __isl_take isl_printer
*p
, int set
)
849 struct isl_aff_split
*split
= NULL
;
853 split
= split_aff(map
);
855 p
= print_split_map(p
, split
, map
->n
, set
);
857 rational
= map
->n
> 0 &&
858 ISL_F_ISSET(map
->p
[0], ISL_BASIC_MAP_RATIONAL
);
859 p
= print_dim(map
->dim
, p
, set
, 0, rational
, NULL
);
860 p
= print_disjuncts(map
, p
, set
, 0);
862 free_split(split
, map
->n
);
866 static __isl_give isl_printer
*isl_map_print_isl(__isl_keep isl_map
*map
,
867 __isl_take isl_printer
*p
, int set
)
869 if (isl_map_dim(map
, isl_dim_param
) > 0) {
870 p
= print_tuple(map
->dim
, p
, isl_dim_param
, set
, 0, NULL
);
871 p
= isl_printer_print_str(p
, s_to
[0]);
873 p
= isl_printer_print_str(p
, s_open_set
[0]);
874 p
= isl_map_print_isl_body(map
, p
, set
);
875 p
= isl_printer_print_str(p
, s_close_set
[0]);
879 static __isl_give isl_printer
*print_latex_map(__isl_keep isl_map
*map
,
880 __isl_take isl_printer
*p
, __isl_keep isl_basic_map
*aff
, int set
)
882 if (isl_map_dim(map
, isl_dim_param
) > 0) {
883 p
= print_tuple(map
->dim
, p
, isl_dim_param
, set
, 1, NULL
);
884 p
= isl_printer_print_str(p
, s_to
[1]);
886 p
= isl_printer_print_str(p
, s_open_set
[1]);
887 p
= print_dim(map
->dim
, p
, set
, 1, 0, aff
);
888 p
= print_disjuncts(map
, p
, set
, 1);
889 p
= isl_printer_print_str(p
, s_close_set
[1]);
894 static __isl_give isl_printer
*isl_map_print_latex(__isl_keep isl_map
*map
,
895 __isl_take isl_printer
*p
, int set
)
898 struct isl_aff_split
*split
= NULL
;
901 split
= split_aff(map
);
904 return print_latex_map(map
, p
, NULL
, set
);
906 for (i
= 0; i
< map
->n
; ++i
) {
910 p
= isl_printer_print_str(p
, " \\cup ");
911 p
= print_latex_map(split
[i
].map
, p
, split
[i
].aff
, set
);
914 free_split(split
, map
->n
);
918 __isl_give isl_printer
*isl_printer_print_basic_map(__isl_take isl_printer
*p
,
919 __isl_keep isl_basic_map
*bmap
)
923 if (p
->output_format
== ISL_FORMAT_ISL
)
924 return isl_basic_map_print_isl(bmap
, p
, 0, 0);
925 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
926 return isl_basic_map_print_omega(bmap
, p
);
927 isl_assert(bmap
->ctx
, 0, goto error
);
933 void isl_basic_map_print(__isl_keep isl_basic_map
*bmap
, FILE *out
, int indent
,
934 const char *prefix
, const char *suffix
, unsigned output_format
)
936 isl_printer
*printer
;
941 printer
= isl_printer_to_file(bmap
->ctx
, out
);
942 printer
= isl_printer_set_indent(printer
, indent
);
943 printer
= isl_printer_set_prefix(printer
, prefix
);
944 printer
= isl_printer_set_suffix(printer
, suffix
);
945 printer
= isl_printer_set_output_format(printer
, output_format
);
946 isl_printer_print_basic_map(printer
, bmap
);
948 isl_printer_free(printer
);
951 __isl_give isl_printer
*isl_printer_print_basic_set(__isl_take isl_printer
*p
,
952 __isl_keep isl_basic_set
*bset
)
957 if (p
->output_format
== ISL_FORMAT_ISL
)
958 return isl_basic_map_print_isl(bset
, p
, 1, 0);
959 else if (p
->output_format
== ISL_FORMAT_POLYLIB
)
960 return isl_basic_set_print_polylib(bset
, p
, 0);
961 else if (p
->output_format
== ISL_FORMAT_EXT_POLYLIB
)
962 return isl_basic_set_print_polylib(bset
, p
, 1);
963 else if (p
->output_format
== ISL_FORMAT_POLYLIB_CONSTRAINTS
)
964 return bset_print_constraints_polylib(bset
, p
);
965 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
966 return isl_basic_set_print_omega(bset
, p
);
967 isl_assert(p
->ctx
, 0, goto error
);
973 void isl_basic_set_print(struct isl_basic_set
*bset
, FILE *out
, int indent
,
974 const char *prefix
, const char *suffix
, unsigned output_format
)
976 isl_printer
*printer
;
981 printer
= isl_printer_to_file(bset
->ctx
, out
);
982 printer
= isl_printer_set_indent(printer
, indent
);
983 printer
= isl_printer_set_prefix(printer
, prefix
);
984 printer
= isl_printer_set_suffix(printer
, suffix
);
985 printer
= isl_printer_set_output_format(printer
, output_format
);
986 isl_printer_print_basic_set(printer
, bset
);
988 isl_printer_free(printer
);
991 __isl_give isl_printer
*isl_printer_print_set(__isl_take isl_printer
*p
,
992 __isl_keep isl_set
*set
)
996 if (p
->output_format
== ISL_FORMAT_ISL
)
997 return isl_map_print_isl((isl_map
*)set
, p
, 1);
998 else if (p
->output_format
== ISL_FORMAT_POLYLIB
)
999 return isl_set_print_polylib(set
, p
, 0);
1000 else if (p
->output_format
== ISL_FORMAT_EXT_POLYLIB
)
1001 return isl_set_print_polylib(set
, p
, 1);
1002 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
1003 return isl_set_print_omega(set
, p
);
1004 else if (p
->output_format
== ISL_FORMAT_LATEX
)
1005 return isl_map_print_latex((isl_map
*)set
, p
, 1);
1006 isl_assert(set
->ctx
, 0, goto error
);
1008 isl_printer_free(p
);
1012 void isl_set_print(struct isl_set
*set
, FILE *out
, int indent
,
1013 unsigned output_format
)
1015 isl_printer
*printer
;
1020 printer
= isl_printer_to_file(set
->ctx
, out
);
1021 printer
= isl_printer_set_indent(printer
, indent
);
1022 printer
= isl_printer_set_output_format(printer
, output_format
);
1023 printer
= isl_printer_print_set(printer
, set
);
1025 isl_printer_free(printer
);
1028 __isl_give isl_printer
*isl_printer_print_map(__isl_take isl_printer
*p
,
1029 __isl_keep isl_map
*map
)
1034 if (p
->output_format
== ISL_FORMAT_ISL
)
1035 return isl_map_print_isl(map
, p
, 0);
1036 else if (p
->output_format
== ISL_FORMAT_POLYLIB
)
1037 return isl_map_print_polylib(map
, p
, 0);
1038 else if (p
->output_format
== ISL_FORMAT_EXT_POLYLIB
)
1039 return isl_map_print_polylib(map
, p
, 1);
1040 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
1041 return isl_map_print_omega(map
, p
);
1042 else if (p
->output_format
== ISL_FORMAT_LATEX
)
1043 return isl_map_print_latex(map
, p
, 0);
1044 isl_assert(map
->ctx
, 0, goto error
);
1046 isl_printer_free(p
);
1050 struct isl_union_print_data
{
1056 static int print_map_body(__isl_take isl_map
*map
, void *user
)
1058 struct isl_union_print_data
*data
;
1059 data
= (struct isl_union_print_data
*)user
;
1062 data
->p
= isl_printer_print_str(data
->p
, "; ");
1065 data
->p
= isl_map_print_isl_body(map
, data
->p
, data
->set
);
1071 static __isl_give isl_printer
*isl_union_map_print_isl(
1072 __isl_keep isl_union_map
*umap
, __isl_take isl_printer
*p
, int set
)
1074 struct isl_union_print_data data
= { p
, set
, 1 };
1076 dim
= isl_union_map_get_dim(umap
);
1077 if (isl_dim_size(dim
, isl_dim_param
) > 0) {
1078 p
= print_tuple(dim
, p
, isl_dim_param
, set
, 0, NULL
);
1079 p
= isl_printer_print_str(p
, s_to
[0]);
1082 p
= isl_printer_print_str(p
, s_open_set
[0]);
1083 isl_union_map_foreach_map(umap
, &print_map_body
, &data
);
1085 p
= isl_printer_print_str(p
, s_close_set
[0]);
1089 static int print_latex_map_body(__isl_take isl_map
*map
, void *user
)
1091 struct isl_union_print_data
*data
;
1092 data
= (struct isl_union_print_data
*)user
;
1095 data
->p
= isl_printer_print_str(data
->p
, " \\cup ");
1098 data
->p
= isl_map_print_latex(map
, data
->p
, data
->set
);
1104 static __isl_give isl_printer
*isl_union_map_print_latex(
1105 __isl_keep isl_union_map
*umap
, __isl_take isl_printer
*p
, int set
)
1107 struct isl_union_print_data data
= { p
, set
, 1 };
1108 isl_union_map_foreach_map(umap
, &print_latex_map_body
, &data
);
1113 __isl_give isl_printer
*isl_printer_print_union_map(__isl_take isl_printer
*p
,
1114 __isl_keep isl_union_map
*umap
)
1119 if (p
->output_format
== ISL_FORMAT_ISL
)
1120 return isl_union_map_print_isl(umap
, p
, 0);
1121 if (p
->output_format
== ISL_FORMAT_LATEX
)
1122 return isl_union_map_print_latex(umap
, p
, 0);
1124 isl_die(p
->ctx
, isl_error_invalid
,
1125 "invalid output format for isl_union_map", goto error
);
1127 isl_printer_free(p
);
1131 __isl_give isl_printer
*isl_printer_print_union_set(__isl_take isl_printer
*p
,
1132 __isl_keep isl_union_set
*uset
)
1137 if (p
->output_format
== ISL_FORMAT_ISL
)
1138 return isl_union_map_print_isl((isl_union_map
*)uset
, p
, 1);
1139 if (p
->output_format
== ISL_FORMAT_LATEX
)
1140 return isl_union_map_print_latex((isl_union_map
*)uset
, p
, 1);
1142 isl_die(p
->ctx
, isl_error_invalid
,
1143 "invalid output format for isl_union_set", goto error
);
1145 isl_printer_free(p
);
1149 void isl_map_print(__isl_keep isl_map
*map
, FILE *out
, int indent
,
1150 unsigned output_format
)
1152 isl_printer
*printer
;
1157 printer
= isl_printer_to_file(map
->ctx
, out
);
1158 printer
= isl_printer_set_indent(printer
, indent
);
1159 printer
= isl_printer_set_output_format(printer
, output_format
);
1160 printer
= isl_printer_print_map(printer
, map
);
1162 isl_printer_free(printer
);
1165 void isl_basic_map_dump(__isl_keep isl_basic_map
*bmap
)
1167 isl_printer
*printer
;
1172 printer
= isl_printer_to_file(isl_basic_map_get_ctx(bmap
), stderr
);
1173 printer
= isl_printer_print_basic_map(printer
, bmap
);
1174 printer
= isl_printer_end_line(printer
);
1176 isl_printer_free(printer
);
1179 void isl_basic_set_dump(__isl_keep isl_basic_set
*bset
)
1181 isl_printer
*printer
;
1186 printer
= isl_printer_to_file(isl_basic_set_get_ctx(bset
), stderr
);
1187 printer
= isl_printer_print_basic_set(printer
, bset
);
1188 printer
= isl_printer_end_line(printer
);
1190 isl_printer_free(printer
);
1193 void isl_map_dump(__isl_keep isl_map
*map
)
1195 isl_printer
*printer
;
1200 printer
= isl_printer_to_file(isl_map_get_ctx(map
), stderr
);
1201 printer
= isl_printer_print_map(printer
, map
);
1202 printer
= isl_printer_end_line(printer
);
1204 isl_printer_free(printer
);
1207 void isl_set_dump(__isl_keep isl_set
*set
)
1209 isl_printer
*printer
;
1214 printer
= isl_printer_to_file(isl_set_get_ctx(set
), stderr
);
1215 printer
= isl_printer_print_set(printer
, set
);
1216 printer
= isl_printer_end_line(printer
);
1218 isl_printer_free(printer
);
1221 void isl_union_map_dump(__isl_keep isl_union_map
*umap
)
1223 isl_printer
*printer
;
1228 printer
= isl_printer_to_file(isl_union_map_get_ctx(umap
), stderr
);
1229 printer
= isl_printer_print_union_map(printer
, umap
);
1230 printer
= isl_printer_end_line(printer
);
1232 isl_printer_free(printer
);
1235 void isl_union_set_dump(__isl_keep isl_union_set
*uset
)
1237 isl_printer
*printer
;
1242 printer
= isl_printer_to_file(isl_union_set_get_ctx(uset
), stderr
);
1243 printer
= isl_printer_print_union_set(printer
, uset
);
1244 printer
= isl_printer_end_line(printer
);
1246 isl_printer_free(printer
);
1249 void isl_union_pw_qpolynomial_dump(__isl_keep isl_union_pw_qpolynomial
*upwqp
)
1251 isl_printer
*printer
;
1256 printer
= isl_printer_to_file(isl_union_pw_qpolynomial_get_ctx(upwqp
),
1258 printer
= isl_printer_print_union_pw_qpolynomial(printer
, upwqp
);
1259 printer
= isl_printer_end_line(printer
);
1261 isl_printer_free(printer
);
1264 void isl_qpolynomial_dump(__isl_keep isl_qpolynomial
*qp
)
1266 isl_printer
*printer
;
1271 printer
= isl_printer_to_file(isl_qpolynomial_get_ctx(qp
), stderr
);
1272 printer
= isl_printer_print_qpolynomial(printer
, qp
);
1273 printer
= isl_printer_end_line(printer
);
1275 isl_printer_free(printer
);
1278 void isl_qpolynomial_fold_dump(__isl_keep isl_qpolynomial_fold
*fold
)
1280 isl_printer
*printer
;
1285 printer
= isl_printer_to_file(isl_qpolynomial_fold_get_ctx(fold
),
1287 printer
= isl_printer_print_qpolynomial_fold(printer
, fold
);
1288 printer
= isl_printer_end_line(printer
);
1290 isl_printer_free(printer
);
1293 void isl_pw_qpolynomial_dump(__isl_keep isl_pw_qpolynomial
*pwqp
)
1295 isl_printer
*printer
;
1300 printer
= isl_printer_to_file(isl_pw_qpolynomial_get_ctx(pwqp
), stderr
);
1301 printer
= isl_printer_print_pw_qpolynomial(printer
, pwqp
);
1302 printer
= isl_printer_end_line(printer
);
1304 isl_printer_free(printer
);
1307 void isl_pw_qpolynomial_fold_dump(__isl_keep isl_pw_qpolynomial_fold
*pwf
)
1309 isl_printer
*printer
;
1314 printer
= isl_printer_to_file(
1315 isl_pw_qpolynomial_fold_get_ctx(pwf
), stderr
);
1316 printer
= isl_printer_print_pw_qpolynomial_fold(printer
, pwf
);
1317 printer
= isl_printer_end_line(printer
);
1319 isl_printer_free(printer
);
1322 void isl_union_pw_qpolynomial_fold_dump(
1323 __isl_keep isl_union_pw_qpolynomial_fold
*upwf
)
1325 isl_printer
*printer
;
1330 printer
= isl_printer_to_file(
1331 isl_union_pw_qpolynomial_fold_get_ctx(upwf
), stderr
);
1332 printer
= isl_printer_print_union_pw_qpolynomial_fold(printer
, upwf
);
1333 printer
= isl_printer_end_line(printer
);
1335 isl_printer_free(printer
);
1338 static int upoly_rec_n_non_zero(__isl_keep
struct isl_upoly_rec
*rec
)
1343 for (i
= 0, n
= 0; i
< rec
->n
; ++i
)
1344 if (!isl_upoly_is_zero(rec
->p
[i
]))
1350 static __isl_give isl_printer
*print_div(__isl_keep isl_dim
*dim
,
1351 __isl_keep isl_mat
*div
, int pos
, __isl_take isl_printer
*p
)
1353 int c
= p
->output_format
== ISL_FORMAT_C
;
1354 p
= isl_printer_print_str(p
, c
? "floord(" : "[(");
1355 p
= print_affine_of_len(dim
, div
, p
,
1356 div
->row
[pos
] + 1, div
->n_col
- 1, 1);
1357 p
= isl_printer_print_str(p
, c
? ", " : ")/");
1358 p
= isl_printer_print_isl_int(p
, div
->row
[pos
][0]);
1359 p
= isl_printer_print_str(p
, c
? ")" : "]");
1363 static __isl_give isl_printer
*upoly_print_cst(__isl_keep
struct isl_upoly
*up
,
1364 __isl_take isl_printer
*p
, int first
)
1366 struct isl_upoly_cst
*cst
;
1369 cst
= isl_upoly_as_cst(up
);
1372 neg
= !first
&& isl_int_is_neg(cst
->n
);
1374 p
= isl_printer_print_str(p
, neg
? " - " : " + ");
1376 isl_int_neg(cst
->n
, cst
->n
);
1377 if (isl_int_is_zero(cst
->d
)) {
1378 int sgn
= isl_int_sgn(cst
->n
);
1379 p
= isl_printer_print_str(p
, sgn
< 0 ? "-infty" :
1380 sgn
== 0 ? "NaN" : "infty");
1382 p
= isl_printer_print_isl_int(p
, cst
->n
);
1384 isl_int_neg(cst
->n
, cst
->n
);
1385 if (!isl_int_is_zero(cst
->d
) && !isl_int_is_one(cst
->d
)) {
1386 p
= isl_printer_print_str(p
, "/");
1387 p
= isl_printer_print_isl_int(p
, cst
->d
);
1391 isl_printer_free(p
);
1395 static __isl_give isl_printer
*print_base(__isl_take isl_printer
*p
,
1396 __isl_keep isl_dim
*dim
, __isl_keep isl_mat
*div
, int var
)
1400 total
= isl_dim_total(dim
);
1402 p
= print_term(dim
, NULL
, dim
->ctx
->one
, 1 + var
, p
, 1, 0);
1404 p
= print_div(dim
, div
, var
- total
, p
);
1408 static __isl_give isl_printer
*print_pow(__isl_take isl_printer
*p
,
1409 __isl_keep isl_dim
*dim
, __isl_keep isl_mat
*div
, int var
, int exp
)
1411 p
= print_base(p
, dim
, div
, var
);
1414 if (p
->output_format
== ISL_FORMAT_C
) {
1416 for (i
= 1; i
< exp
; ++i
) {
1417 p
= isl_printer_print_str(p
, "*");
1418 p
= print_base(p
, dim
, div
, var
);
1421 p
= isl_printer_print_str(p
, "^");
1422 p
= isl_printer_print_int(p
, exp
);
1427 static __isl_give isl_printer
*upoly_print(__isl_keep
struct isl_upoly
*up
,
1428 __isl_keep isl_dim
*dim
, __isl_keep isl_mat
*div
,
1429 __isl_take isl_printer
*p
, int outer
)
1431 int i
, n
, first
, print_parens
;
1432 struct isl_upoly_rec
*rec
;
1434 if (!p
|| !up
|| !dim
|| !div
)
1437 if (isl_upoly_is_cst(up
))
1438 return upoly_print_cst(up
, p
, 1);
1440 rec
= isl_upoly_as_rec(up
);
1443 n
= upoly_rec_n_non_zero(rec
);
1444 print_parens
= n
> 1 || (outer
&& rec
->up
.var
>= isl_dim_total(dim
));
1446 p
= isl_printer_print_str(p
, "(");
1447 for (i
= 0, first
= 1; i
< rec
->n
; ++i
) {
1448 if (isl_upoly_is_zero(rec
->p
[i
]))
1450 if (isl_upoly_is_negone(rec
->p
[i
])) {
1452 p
= isl_printer_print_str(p
, "-1");
1454 p
= isl_printer_print_str(p
, "-");
1456 p
= isl_printer_print_str(p
, " - ");
1457 } else if (isl_upoly_is_cst(rec
->p
[i
]) &&
1458 !isl_upoly_is_one(rec
->p
[i
]))
1459 p
= upoly_print_cst(rec
->p
[i
], p
, first
);
1462 p
= isl_printer_print_str(p
, " + ");
1463 if (i
== 0 || !isl_upoly_is_one(rec
->p
[i
]))
1464 p
= upoly_print(rec
->p
[i
], dim
, div
, p
, 0);
1469 if (!isl_upoly_is_one(rec
->p
[i
]) &&
1470 !isl_upoly_is_negone(rec
->p
[i
]))
1471 p
= isl_printer_print_str(p
, " * ");
1472 p
= print_pow(p
, dim
, div
, rec
->up
.var
, i
);
1475 p
= isl_printer_print_str(p
, ")");
1478 isl_printer_free(p
);
1482 __isl_give isl_printer
*isl_printer_print_qpolynomial(__isl_take isl_printer
*p
,
1483 __isl_keep isl_qpolynomial
*qp
)
1487 p
= upoly_print(qp
->upoly
, qp
->dim
, qp
->div
, p
, 1);
1490 isl_printer_free(p
);
1494 void isl_qpolynomial_print(__isl_keep isl_qpolynomial
*qp
, FILE *out
,
1495 unsigned output_format
)
1502 isl_assert(qp
->dim
->ctx
, output_format
== ISL_FORMAT_ISL
, return);
1503 p
= isl_printer_to_file(qp
->dim
->ctx
, out
);
1504 p
= isl_printer_print_qpolynomial(p
, qp
);
1505 isl_printer_free(p
);
1508 static __isl_give isl_printer
*qpolynomial_fold_print(
1509 __isl_keep isl_qpolynomial_fold
*fold
, __isl_take isl_printer
*p
)
1513 if (fold
->type
== isl_fold_min
)
1514 p
= isl_printer_print_str(p
, "min");
1515 else if (fold
->type
== isl_fold_max
)
1516 p
= isl_printer_print_str(p
, "max");
1517 p
= isl_printer_print_str(p
, "(");
1518 for (i
= 0; i
< fold
->n
; ++i
) {
1520 p
= isl_printer_print_str(p
, ", ");
1521 p
= isl_printer_print_qpolynomial(p
, fold
->qp
[i
]);
1523 p
= isl_printer_print_str(p
, ")");
1527 void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold
*fold
,
1528 FILE *out
, unsigned output_format
)
1535 isl_assert(fold
->dim
->ctx
, output_format
== ISL_FORMAT_ISL
, return);
1537 p
= isl_printer_to_file(fold
->dim
->ctx
, out
);
1538 p
= isl_printer_print_qpolynomial_fold(p
, fold
);
1540 isl_printer_free(p
);
1543 static __isl_give isl_printer
*isl_pwqp_print_isl_body(
1544 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1548 for (i
= 0; i
< pwqp
->n
; ++i
) {
1550 p
= isl_printer_print_str(p
, "; ");
1551 if (isl_dim_size(pwqp
->dim
, isl_dim_set
) > 0 ||
1552 isl_dim_is_named_or_nested(pwqp
->dim
, isl_dim_set
)) {
1553 p
= print_dim(pwqp
->p
[i
].set
->dim
, p
, 1, 0, 0, NULL
);
1554 p
= isl_printer_print_str(p
, " -> ");
1556 p
= isl_printer_print_qpolynomial(p
, pwqp
->p
[i
].qp
);
1557 p
= print_disjuncts((isl_map
*)pwqp
->p
[i
].set
, p
, 1, 0);
1563 static __isl_give isl_printer
*print_pw_qpolynomial_isl(
1564 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1569 if (isl_dim_size(pwqp
->dim
, isl_dim_param
) > 0) {
1570 p
= print_tuple(pwqp
->dim
, p
, isl_dim_param
, 0, 0, NULL
);
1571 p
= isl_printer_print_str(p
, " -> ");
1573 p
= isl_printer_print_str(p
, "{ ");
1575 if (isl_dim_size(pwqp
->dim
, isl_dim_set
) > 0 ||
1576 isl_dim_is_named_or_nested(pwqp
->dim
, isl_dim_set
)) {
1577 p
= print_dim(pwqp
->dim
, p
, 1, 0, 0, NULL
);
1578 p
= isl_printer_print_str(p
, " -> ");
1580 p
= isl_printer_print_str(p
, "0");
1582 p
= isl_pwqp_print_isl_body(p
, pwqp
);
1583 p
= isl_printer_print_str(p
, " }");
1586 isl_printer_free(p
);
1590 void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial
*pwqp
, FILE *out
,
1591 unsigned output_format
)
1598 p
= isl_printer_to_file(pwqp
->dim
->ctx
, out
);
1599 p
= isl_printer_set_output_format(p
, output_format
);
1600 p
= isl_printer_print_pw_qpolynomial(p
, pwqp
);
1602 isl_printer_free(p
);
1605 static __isl_give isl_printer
*isl_pwf_print_isl_body(
1606 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1610 for (i
= 0; i
< pwf
->n
; ++i
) {
1612 p
= isl_printer_print_str(p
, "; ");
1613 if (isl_dim_size(pwf
->dim
, isl_dim_set
) > 0 ||
1614 isl_dim_is_named_or_nested(pwf
->dim
, isl_dim_set
)) {
1615 p
= print_dim(pwf
->p
[i
].set
->dim
, p
, 1, 0, 0, NULL
);
1616 p
= isl_printer_print_str(p
, " -> ");
1618 p
= qpolynomial_fold_print(pwf
->p
[i
].fold
, p
);
1619 p
= print_disjuncts((isl_map
*)pwf
->p
[i
].set
, p
, 1, 0);
1625 static __isl_give isl_printer
*print_pw_qpolynomial_fold_isl(
1626 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1628 if (isl_dim_size(pwf
->dim
, isl_dim_param
) > 0) {
1629 p
= print_tuple(pwf
->dim
, p
, isl_dim_param
, 0, 0, NULL
);
1630 p
= isl_printer_print_str(p
, " -> ");
1632 p
= isl_printer_print_str(p
, "{ ");
1634 if (isl_dim_size(pwf
->dim
, isl_dim_set
) > 0 ||
1635 isl_dim_is_named_or_nested(pwf
->dim
, isl_dim_set
)) {
1636 p
= print_dim(pwf
->dim
, p
, 1, 0, 0, NULL
);
1637 p
= isl_printer_print_str(p
, " -> ");
1639 p
= isl_printer_print_str(p
, "0");
1641 p
= isl_pwf_print_isl_body(p
, pwf
);
1642 p
= isl_printer_print_str(p
, " }");
1646 static __isl_give isl_printer
*print_affine_c(__isl_take isl_printer
*p
,
1647 __isl_keep isl_dim
*dim
, __isl_keep isl_basic_set
*bset
, isl_int
*c
);
1649 static __isl_give isl_printer
*print_name_c(__isl_take isl_printer
*p
,
1650 __isl_keep isl_dim
*dim
,
1651 __isl_keep isl_basic_set
*bset
, enum isl_dim_type type
, unsigned pos
)
1653 if (type
== isl_dim_div
) {
1654 p
= isl_printer_print_str(p
, "floord(");
1655 p
= print_affine_c(p
, dim
, bset
, bset
->div
[pos
] + 1);
1656 p
= isl_printer_print_str(p
, ", ");
1657 p
= isl_printer_print_isl_int(p
, bset
->div
[pos
][0]);
1658 p
= isl_printer_print_str(p
, ")");
1662 name
= isl_dim_get_name(dim
, type
, pos
);
1665 p
= isl_printer_print_str(p
, name
);
1670 static __isl_give isl_printer
*print_term_c(__isl_take isl_printer
*p
,
1671 __isl_keep isl_dim
*dim
,
1672 __isl_keep isl_basic_set
*bset
, isl_int c
, unsigned pos
)
1674 enum isl_dim_type type
;
1675 unsigned nparam
= isl_basic_set_dim(bset
, isl_dim_param
);
1678 return isl_printer_print_isl_int(p
, c
);
1680 if (isl_int_is_one(c
))
1682 else if (isl_int_is_negone(c
))
1683 p
= isl_printer_print_str(p
, "-");
1685 p
= isl_printer_print_isl_int(p
, c
);
1686 p
= isl_printer_print_str(p
, "*");
1688 type
= pos2type(dim
, &pos
);
1689 p
= print_name_c(p
, dim
, bset
, type
, pos
);
1693 static __isl_give isl_printer
*print_partial_affine_c(__isl_take isl_printer
*p
,
1694 __isl_keep isl_dim
*dim
,
1695 __isl_keep isl_basic_set
*bset
, isl_int
*c
, unsigned len
)
1700 for (i
= 0, first
= 1; i
< len
; ++i
) {
1702 if (isl_int_is_zero(c
[i
]))
1705 if (isl_int_is_neg(c
[i
])) {
1707 isl_int_neg(c
[i
], c
[i
]);
1708 p
= isl_printer_print_str(p
, " - ");
1710 p
= isl_printer_print_str(p
, " + ");
1713 p
= print_term_c(p
, dim
, bset
, c
[i
], i
);
1715 isl_int_neg(c
[i
], c
[i
]);
1718 p
= isl_printer_print_str(p
, "0");
1722 static __isl_give isl_printer
*print_affine_c(__isl_take isl_printer
*p
,
1723 __isl_keep isl_dim
*dim
, __isl_keep isl_basic_set
*bset
, isl_int
*c
)
1725 unsigned len
= 1 + isl_basic_set_total_dim(bset
);
1726 return print_partial_affine_c(p
, dim
, bset
, c
, len
);
1729 static __isl_give isl_printer
*print_constraint_c(__isl_take isl_printer
*p
,
1730 __isl_keep isl_dim
*dim
,
1731 __isl_keep isl_basic_set
*bset
, isl_int
*c
, const char *op
, int first
)
1734 p
= isl_printer_print_str(p
, " && ");
1736 p
= print_affine_c(p
, dim
, bset
, c
);
1737 p
= isl_printer_print_str(p
, " ");
1738 p
= isl_printer_print_str(p
, op
);
1739 p
= isl_printer_print_str(p
, " 0");
1743 static __isl_give isl_printer
*print_basic_set_c(__isl_take isl_printer
*p
,
1744 __isl_keep isl_dim
*dim
, __isl_keep isl_basic_set
*bset
)
1747 unsigned n_div
= isl_basic_set_dim(bset
, isl_dim_div
);
1748 unsigned total
= isl_basic_set_total_dim(bset
) - n_div
;
1750 for (i
= 0; i
< bset
->n_eq
; ++i
) {
1751 j
= isl_seq_last_non_zero(bset
->eq
[i
] + 1 + total
, n_div
);
1753 p
= print_constraint_c(p
, dim
, bset
,
1754 bset
->eq
[i
], "==", !i
);
1757 p
= isl_printer_print_str(p
, " && ");
1758 p
= isl_printer_print_str(p
, "(");
1759 p
= print_partial_affine_c(p
, dim
, bset
, bset
->eq
[i
],
1761 p
= isl_printer_print_str(p
, ") % ");
1762 p
= isl_printer_print_isl_int(p
,
1763 bset
->eq
[i
][1 + total
+ j
]);
1764 p
= isl_printer_print_str(p
, " == 0");
1767 for (i
= 0; i
< bset
->n_ineq
; ++i
)
1768 p
= print_constraint_c(p
, dim
, bset
, bset
->ineq
[i
], ">=",
1773 static __isl_give isl_printer
*print_set_c(__isl_take isl_printer
*p
,
1774 __isl_keep isl_dim
*dim
, __isl_keep isl_set
*set
)
1779 p
= isl_printer_print_str(p
, "0");
1781 for (i
= 0; i
< set
->n
; ++i
) {
1783 p
= isl_printer_print_str(p
, " || ");
1785 p
= isl_printer_print_str(p
, "(");
1786 p
= print_basic_set_c(p
, dim
, set
->p
[i
]);
1788 p
= isl_printer_print_str(p
, ")");
1793 static __isl_give isl_printer
*print_qpolynomial_c(__isl_take isl_printer
*p
,
1794 __isl_keep isl_dim
*dim
, __isl_keep isl_qpolynomial
*qp
)
1799 isl_qpolynomial_get_den(qp
, &den
);
1800 if (!isl_int_is_one(den
)) {
1802 p
= isl_printer_print_str(p
, "(");
1803 qp
= isl_qpolynomial_copy(qp
);
1804 f
= isl_qpolynomial_rat_cst(isl_dim_copy(qp
->dim
),
1805 den
, qp
->dim
->ctx
->one
);
1806 qp
= isl_qpolynomial_mul(qp
, f
);
1809 p
= upoly_print(qp
->upoly
, dim
, qp
->div
, p
, 0);
1810 if (!isl_int_is_one(den
)) {
1811 p
= isl_printer_print_str(p
, ")/");
1812 p
= isl_printer_print_isl_int(p
, den
);
1813 isl_qpolynomial_free(qp
);
1819 static __isl_give isl_printer
*print_pw_qpolynomial_c(
1820 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1824 if (pwqp
->n
== 1 && isl_set_plain_is_universe(pwqp
->p
[0].set
))
1825 return print_qpolynomial_c(p
, pwqp
->dim
, pwqp
->p
[0].qp
);
1827 for (i
= 0; i
< pwqp
->n
; ++i
) {
1828 p
= isl_printer_print_str(p
, "(");
1829 p
= print_set_c(p
, pwqp
->dim
, pwqp
->p
[i
].set
);
1830 p
= isl_printer_print_str(p
, ") ? (");
1831 p
= print_qpolynomial_c(p
, pwqp
->dim
, pwqp
->p
[i
].qp
);
1832 p
= isl_printer_print_str(p
, ") : ");
1835 p
= isl_printer_print_str(p
, "0");
1839 __isl_give isl_printer
*isl_printer_print_pw_qpolynomial(
1840 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1845 if (p
->output_format
== ISL_FORMAT_ISL
)
1846 return print_pw_qpolynomial_isl(p
, pwqp
);
1847 else if (p
->output_format
== ISL_FORMAT_C
)
1848 return print_pw_qpolynomial_c(p
, pwqp
);
1849 isl_assert(p
->ctx
, 0, goto error
);
1851 isl_printer_free(p
);
1855 static int print_pwqp_body(__isl_take isl_pw_qpolynomial
*pwqp
, void *user
)
1857 struct isl_union_print_data
*data
;
1858 data
= (struct isl_union_print_data
*)user
;
1861 data
->p
= isl_printer_print_str(data
->p
, "; ");
1864 data
->p
= isl_pwqp_print_isl_body(data
->p
, pwqp
);
1865 isl_pw_qpolynomial_free(pwqp
);
1870 static __isl_give isl_printer
*print_union_pw_qpolynomial_isl(
1871 __isl_take isl_printer
*p
, __isl_keep isl_union_pw_qpolynomial
*upwqp
)
1873 struct isl_union_print_data data
= { p
, 1, 1 };
1875 dim
= isl_union_pw_qpolynomial_get_dim(upwqp
);
1876 if (isl_dim_size(dim
, isl_dim_param
) > 0) {
1877 p
= print_tuple(dim
, p
, isl_dim_param
, 1, 0, NULL
);
1878 p
= isl_printer_print_str(p
, " -> ");
1881 p
= isl_printer_print_str(p
, "{ ");
1882 isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp
, &print_pwqp_body
,
1885 p
= isl_printer_print_str(p
, " }");
1889 __isl_give isl_printer
*isl_printer_print_union_pw_qpolynomial(
1890 __isl_take isl_printer
*p
, __isl_keep isl_union_pw_qpolynomial
*upwqp
)
1895 if (p
->output_format
== ISL_FORMAT_ISL
)
1896 return print_union_pw_qpolynomial_isl(p
, upwqp
);
1897 isl_die(p
->ctx
, isl_error_invalid
,
1898 "invalid output format for isl_union_pw_qpolynomial",
1901 isl_printer_free(p
);
1905 static __isl_give isl_printer
*print_qpolynomial_fold_c(
1906 __isl_take isl_printer
*p
, __isl_keep isl_dim
*dim
,
1907 __isl_keep isl_qpolynomial_fold
*fold
)
1911 for (i
= 0; i
< fold
->n
- 1; ++i
)
1912 if (fold
->type
== isl_fold_min
)
1913 p
= isl_printer_print_str(p
, "min(");
1914 else if (fold
->type
== isl_fold_max
)
1915 p
= isl_printer_print_str(p
, "max(");
1917 for (i
= 0; i
< fold
->n
; ++i
) {
1919 p
= isl_printer_print_str(p
, ", ");
1920 p
= print_qpolynomial_c(p
, dim
, fold
->qp
[i
]);
1922 p
= isl_printer_print_str(p
, ")");
1927 __isl_give isl_printer
*isl_printer_print_qpolynomial_fold(
1928 __isl_take isl_printer
*p
, __isl_keep isl_qpolynomial_fold
*fold
)
1932 if (p
->output_format
== ISL_FORMAT_ISL
)
1933 return qpolynomial_fold_print(fold
, p
);
1934 else if (p
->output_format
== ISL_FORMAT_C
)
1935 return print_qpolynomial_fold_c(p
, fold
->dim
, fold
);
1936 isl_die(p
->ctx
, isl_error_unsupported
, "unsupported output format",
1939 isl_printer_free(p
);
1943 static __isl_give isl_printer
*print_pw_qpolynomial_fold_c(
1944 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1948 if (pwf
->n
== 1 && isl_set_plain_is_universe(pwf
->p
[0].set
))
1949 return print_qpolynomial_fold_c(p
, pwf
->dim
, pwf
->p
[0].fold
);
1951 for (i
= 0; i
< pwf
->n
; ++i
) {
1952 p
= isl_printer_print_str(p
, "(");
1953 p
= print_set_c(p
, pwf
->dim
, pwf
->p
[i
].set
);
1954 p
= isl_printer_print_str(p
, ") ? (");
1955 p
= print_qpolynomial_fold_c(p
, pwf
->dim
, pwf
->p
[i
].fold
);
1956 p
= isl_printer_print_str(p
, ") : ");
1959 p
= isl_printer_print_str(p
, "0");
1963 __isl_give isl_printer
*isl_printer_print_pw_qpolynomial_fold(
1964 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1969 if (p
->output_format
== ISL_FORMAT_ISL
)
1970 return print_pw_qpolynomial_fold_isl(p
, pwf
);
1971 else if (p
->output_format
== ISL_FORMAT_C
)
1972 return print_pw_qpolynomial_fold_c(p
, pwf
);
1973 isl_assert(p
->ctx
, 0, goto error
);
1975 isl_printer_free(p
);
1979 void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold
*pwf
,
1980 FILE *out
, unsigned output_format
)
1987 p
= isl_printer_to_file(pwf
->dim
->ctx
, out
);
1988 p
= isl_printer_set_output_format(p
, output_format
);
1989 p
= isl_printer_print_pw_qpolynomial_fold(p
, pwf
);
1991 isl_printer_free(p
);
1994 static int print_pwf_body(__isl_take isl_pw_qpolynomial_fold
*pwf
, void *user
)
1996 struct isl_union_print_data
*data
;
1997 data
= (struct isl_union_print_data
*)user
;
2000 data
->p
= isl_printer_print_str(data
->p
, "; ");
2003 data
->p
= isl_pwf_print_isl_body(data
->p
, pwf
);
2004 isl_pw_qpolynomial_fold_free(pwf
);
2009 static __isl_give isl_printer
*print_union_pw_qpolynomial_fold_isl(
2010 __isl_take isl_printer
*p
,
2011 __isl_keep isl_union_pw_qpolynomial_fold
*upwf
)
2013 struct isl_union_print_data data
= { p
, 1, 1 };
2015 dim
= isl_union_pw_qpolynomial_fold_get_dim(upwf
);
2016 if (isl_dim_size(dim
, isl_dim_param
) > 0) {
2017 p
= print_tuple(dim
, p
, isl_dim_param
, 1, 0, NULL
);
2018 p
= isl_printer_print_str(p
, " -> ");
2021 p
= isl_printer_print_str(p
, "{ ");
2022 isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(upwf
,
2023 &print_pwf_body
, &data
);
2025 p
= isl_printer_print_str(p
, " }");
2029 __isl_give isl_printer
*isl_printer_print_union_pw_qpolynomial_fold(
2030 __isl_take isl_printer
*p
,
2031 __isl_keep isl_union_pw_qpolynomial_fold
*upwf
)
2036 if (p
->output_format
== ISL_FORMAT_ISL
)
2037 return print_union_pw_qpolynomial_fold_isl(p
, upwf
);
2038 isl_die(p
->ctx
, isl_error_invalid
,
2039 "invalid output format for isl_union_pw_qpolynomial_fold",
2042 isl_printer_free(p
);
2046 __isl_give isl_printer
*isl_printer_print_constraint(__isl_take isl_printer
*p
,
2047 __isl_keep isl_constraint
*c
)
2049 isl_basic_map
*bmap
;
2054 bmap
= isl_basic_map_from_constraint(isl_constraint_copy(c
));
2055 p
= isl_printer_print_basic_map(p
, bmap
);
2056 isl_basic_map_free(bmap
);
2059 isl_printer_free(p
);
2063 void isl_constraint_dump(__isl_keep isl_constraint
*c
)
2065 isl_printer
*printer
;
2070 printer
= isl_printer_to_file(isl_constraint_get_ctx(c
), stderr
);
2071 printer
= isl_printer_print_constraint(printer
, c
);
2072 printer
= isl_printer_end_line(printer
);
2074 isl_printer_free(printer
);