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_map_private.h>
18 #include <isl_polynomial_private.h>
19 #include <isl_printer_private.h>
20 #include <isl_dim_private.h>
21 #include <isl_mat_private.h>
22 #include <isl/union_map.h>
24 static const char *s_to
[2] = { " -> ", " \\to " };
25 static const char *s_and
[2] = { " and ", " \\wedge " };
26 static const char *s_or
[2] = { " or ", " \\vee " };
27 static const char *s_le
[2] = { "<=", "\\le" };
28 static const char *s_ge
[2] = { ">=", "\\ge" };
29 static const char *s_open_set
[2] = { "{ ", "\\{\\, " };
30 static const char *s_close_set
[2] = { " }", " \\,\\}" };
31 static const char *s_open_list
[2] = { "[", "(" };
32 static const char *s_close_list
[2] = { "]", ")" };
33 static const char *s_such_that
[2] = { " : ", " \\mid " };
34 static const char *s_open_exists
[2] = { "exists (", "\\exists \\, " };
35 static const char *s_close_exists
[2] = { ")", "" };
36 static const char *s_div_prefix
[2] = { "e", "\\alpha_" };
37 static const char *s_param_prefix
[2] = { "p", "p_" };
38 static const char *s_input_prefix
[2] = { "i", "i_" };
39 static const char *s_output_prefix
[2] = { "o", "o_" };
41 static __isl_give isl_printer
*print_constraint_polylib(
42 struct isl_basic_map
*bmap
, int ineq
, int n
, __isl_take isl_printer
*p
)
45 unsigned n_in
= isl_basic_map_dim(bmap
, isl_dim_in
);
46 unsigned n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
47 unsigned nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
48 isl_int
*c
= ineq
? bmap
->ineq
[n
] : bmap
->eq
[n
];
50 p
= isl_printer_start_line(p
);
51 p
= isl_printer_print_int(p
, ineq
);
52 for (i
= 0; i
< n_out
; ++i
) {
53 p
= isl_printer_print_str(p
, " ");
54 p
= isl_printer_print_isl_int(p
, c
[1+nparam
+n_in
+i
]);
56 for (i
= 0; i
< n_in
; ++i
) {
57 p
= isl_printer_print_str(p
, " ");
58 p
= isl_printer_print_isl_int(p
, c
[1+nparam
+i
]);
60 for (i
= 0; i
< bmap
->n_div
; ++i
) {
61 p
= isl_printer_print_str(p
, " ");
62 p
= isl_printer_print_isl_int(p
, c
[1+nparam
+n_in
+n_out
+i
]);
64 for (i
= 0; i
< nparam
; ++i
) {
65 p
= isl_printer_print_str(p
, " ");
66 p
= isl_printer_print_isl_int(p
, c
[1+i
]);
68 p
= isl_printer_print_str(p
, " ");
69 p
= isl_printer_print_isl_int(p
, c
[0]);
70 p
= isl_printer_end_line(p
);
74 static __isl_give isl_printer
*print_constraints_polylib(
75 struct isl_basic_map
*bmap
, __isl_take isl_printer
*p
)
79 p
= isl_printer_set_isl_int_width(p
, 5);
81 for (i
= 0; i
< bmap
->n_eq
; ++i
)
82 p
= print_constraint_polylib(bmap
, 0, i
, p
);
83 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
84 p
= print_constraint_polylib(bmap
, 1, i
, p
);
89 static __isl_give isl_printer
*bset_print_constraints_polylib(
90 struct isl_basic_set
*bset
, __isl_take isl_printer
*p
)
92 return print_constraints_polylib((struct isl_basic_map
*)bset
, p
);
95 static __isl_give isl_printer
*isl_basic_map_print_polylib(
96 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
, int ext
)
98 unsigned total
= isl_basic_map_total_dim(bmap
);
99 p
= isl_printer_start_line(p
);
100 p
= isl_printer_print_int(p
, bmap
->n_eq
+ bmap
->n_ineq
);
101 p
= isl_printer_print_str(p
, " ");
102 p
= isl_printer_print_int(p
, 1 + total
+ 1);
104 p
= isl_printer_print_str(p
, " ");
105 p
= isl_printer_print_int(p
,
106 isl_basic_map_dim(bmap
, isl_dim_out
));
107 p
= isl_printer_print_str(p
, " ");
108 p
= isl_printer_print_int(p
,
109 isl_basic_map_dim(bmap
, isl_dim_in
));
110 p
= isl_printer_print_str(p
, " ");
111 p
= isl_printer_print_int(p
,
112 isl_basic_map_dim(bmap
, isl_dim_div
));
113 p
= isl_printer_print_str(p
, " ");
114 p
= isl_printer_print_int(p
,
115 isl_basic_map_dim(bmap
, isl_dim_param
));
117 p
= isl_printer_end_line(p
);
118 return print_constraints_polylib(bmap
, p
);
121 static __isl_give isl_printer
*isl_basic_set_print_polylib(
122 __isl_keep isl_basic_set
*bset
, __isl_take isl_printer
*p
, int ext
)
124 return isl_basic_map_print_polylib((struct isl_basic_map
*)bset
, p
, ext
);
127 static __isl_give isl_printer
*isl_map_print_polylib(__isl_keep isl_map
*map
,
128 __isl_take isl_printer
*p
, int ext
)
132 p
= isl_printer_start_line(p
);
133 p
= isl_printer_print_int(p
, map
->n
);
134 p
= isl_printer_end_line(p
);
135 for (i
= 0; i
< map
->n
; ++i
) {
136 p
= isl_printer_start_line(p
);
137 p
= isl_printer_end_line(p
);
138 p
= isl_basic_map_print_polylib(map
->p
[i
], p
, ext
);
143 static __isl_give isl_printer
*isl_set_print_polylib(__isl_keep isl_set
*set
,
144 __isl_take isl_printer
*p
, int ext
)
146 return isl_map_print_polylib((struct isl_map
*)set
, p
, ext
);
149 static int count_same_name(__isl_keep isl_dim
*dim
,
150 enum isl_dim_type type
, unsigned pos
, const char *name
)
156 for (t
= isl_dim_param
; t
<= type
&& t
<= isl_dim_out
; ++t
) {
157 s
= t
== type
? pos
: isl_dim_size(dim
, t
);
158 for (p
= 0; p
< s
; ++p
) {
159 const char *n
= isl_dim_get_name(dim
, t
, p
);
160 if (n
&& !strcmp(n
, name
))
167 static __isl_give isl_printer
*print_name(__isl_keep isl_dim
*dim
,
168 __isl_take isl_printer
*p
, enum isl_dim_type type
, unsigned pos
,
175 name
= type
== isl_dim_div
? NULL
: isl_dim_get_name(dim
, type
, pos
);
179 if (type
== isl_dim_param
)
180 prefix
= s_param_prefix
[latex
];
181 else if (type
== isl_dim_div
)
182 prefix
= s_div_prefix
[latex
];
183 else if (set
|| type
== isl_dim_in
)
184 prefix
= s_input_prefix
[latex
];
186 prefix
= s_output_prefix
[latex
];
187 snprintf(buffer
, sizeof(buffer
), "%s%d", prefix
, pos
);
190 primes
= count_same_name(dim
, name
== buffer
? isl_dim_div
: type
,
192 p
= isl_printer_print_str(p
, name
);
194 p
= isl_printer_print_str(p
, "'");
198 static enum isl_dim_type
pos2type(__isl_keep isl_dim
*dim
, unsigned *pos
)
200 enum isl_dim_type type
;
201 unsigned n_in
= isl_dim_size(dim
, isl_dim_in
);
202 unsigned n_out
= isl_dim_size(dim
, isl_dim_out
);
203 unsigned nparam
= isl_dim_size(dim
, isl_dim_param
);
205 if (*pos
< 1 + nparam
) {
206 type
= isl_dim_param
;
208 } else if (*pos
< 1 + nparam
+ n_in
) {
211 } else if (*pos
< 1 + nparam
+ n_in
+ n_out
) {
213 *pos
-= 1 + nparam
+ n_in
;
216 *pos
-= 1 + nparam
+ n_in
+ n_out
;
222 static __isl_give isl_printer
*print_div(__isl_keep isl_dim
*dim
,
223 __isl_keep isl_mat
*div
, int pos
, __isl_take isl_printer
*p
);
225 static __isl_give isl_printer
*print_term(__isl_keep isl_dim
*dim
,
226 __isl_keep isl_mat
*div
,
227 isl_int c
, unsigned pos
, __isl_take isl_printer
*p
, int set
, int latex
)
229 enum isl_dim_type type
;
233 return isl_printer_print_isl_int(p
, c
);
235 type
= pos2type(dim
, &pos
);
236 print_div_def
= type
== isl_dim_div
&& div
&&
237 !isl_int_is_zero(div
->row
[pos
][0]);
239 if (isl_int_is_one(c
))
241 else if (isl_int_is_negone(c
))
242 p
= isl_printer_print_str(p
, "-");
244 p
= isl_printer_print_isl_int(p
, c
);
245 if (p
->output_format
== ISL_FORMAT_C
|| print_div_def
)
246 p
= isl_printer_print_str(p
, "*");
249 p
= print_div(dim
, div
, pos
, p
);
251 p
= print_name(dim
, p
, type
, pos
, set
, latex
);
255 static __isl_give isl_printer
*print_affine_of_len(__isl_keep isl_dim
*dim
,
256 __isl_keep isl_mat
*div
,
257 __isl_take isl_printer
*p
, isl_int
*c
, int len
, int set
)
262 for (i
= 0, first
= 1; i
< len
; ++i
) {
264 if (isl_int_is_zero(c
[i
]))
267 if (isl_int_is_neg(c
[i
])) {
269 isl_int_neg(c
[i
], c
[i
]);
270 p
= isl_printer_print_str(p
, " - ");
272 p
= isl_printer_print_str(p
, " + ");
275 p
= print_term(dim
, div
, c
[i
], i
, p
, set
, 0);
277 isl_int_neg(c
[i
], c
[i
]);
280 p
= isl_printer_print_str(p
, "0");
284 static __isl_give isl_printer
*print_affine(__isl_keep isl_basic_map
*bmap
,
285 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
, isl_int
*c
, int set
)
287 unsigned len
= 1 + isl_basic_map_total_dim(bmap
);
288 return print_affine_of_len(dim
, NULL
, p
, c
, len
, set
);
291 static int defining_equality(__isl_keep isl_basic_map
*eq
,
292 __isl_keep isl_dim
*dim
, enum isl_dim_type type
, int pos
)
300 pos
+= isl_dim_offset(dim
, type
);
301 total
= isl_basic_map_total_dim(eq
);
303 for (i
= 0; i
< eq
->n_eq
; ++i
) {
304 if (isl_seq_last_non_zero(eq
->eq
[i
] + 1, total
) != pos
)
306 if (isl_int_is_one(eq
->eq
[i
][1 + pos
]))
307 isl_seq_neg(eq
->eq
[i
], eq
->eq
[i
], 1 + total
);
314 /* offset is the offset of local_dim inside global_type of global_dim.
316 static __isl_give isl_printer
*print_nested_var_list(__isl_take isl_printer
*p
,
317 __isl_keep isl_dim
*global_dim
, enum isl_dim_type global_type
,
318 __isl_keep isl_dim
*local_dim
, enum isl_dim_type local_type
,
319 int set
, int latex
, __isl_keep isl_basic_map
*eq
, int offset
)
323 if (global_dim
!= local_dim
&& local_type
== isl_dim_out
)
324 offset
+= local_dim
->n_in
;
326 for (i
= 0; i
< isl_dim_size(local_dim
, local_type
); ++i
) {
328 p
= isl_printer_print_str(p
, ", ");
329 j
= defining_equality(eq
, global_dim
, global_type
, offset
+ i
);
331 int pos
= 1 + isl_dim_offset(global_dim
, global_type
)
333 p
= print_affine_of_len(eq
->dim
, NULL
,
334 p
, eq
->eq
[j
], pos
, set
);
336 p
= print_name(global_dim
, p
, global_type
, offset
+ i
,
343 static __isl_give isl_printer
*print_var_list(__isl_keep isl_dim
*dim
,
344 __isl_take isl_printer
*p
, enum isl_dim_type type
,
345 int set
, int latex
, __isl_keep isl_basic_map
*eq
)
347 return print_nested_var_list(p
, dim
, type
, dim
, type
, set
, latex
, eq
, 0);
350 static __isl_give isl_printer
*print_nested_map_dim(__isl_take isl_printer
*p
,
351 __isl_keep isl_dim
*global_dim
, enum isl_dim_type global_type
,
352 __isl_keep isl_dim
*local_dim
,
353 int set
, int latex
, __isl_keep isl_basic_map
*eq
, int offset
);
355 static __isl_give isl_printer
*print_nested_tuple(__isl_take isl_printer
*p
,
356 __isl_keep isl_dim
*global_dim
, enum isl_dim_type global_type
,
357 __isl_keep isl_dim
*local_dim
, enum isl_dim_type local_type
,
358 int set
, int latex
, __isl_keep isl_basic_map
*eq
, int offset
)
360 const char *name
= NULL
;
361 unsigned n
= isl_dim_size(local_dim
, local_type
);
362 if ((local_type
== isl_dim_in
|| local_type
== isl_dim_out
)) {
363 name
= isl_dim_get_tuple_name(local_dim
, local_type
);
366 p
= isl_printer_print_str(p
, "\\mathrm{");
367 p
= isl_printer_print_str(p
, name
);
369 p
= isl_printer_print_str(p
, "}");
372 if (!latex
|| n
!= 1 || name
)
373 p
= isl_printer_print_str(p
, s_open_list
[latex
]);
374 if ((local_type
== isl_dim_in
|| local_type
== isl_dim_out
) &&
375 local_dim
->nested
[local_type
- isl_dim_in
]) {
376 if (global_dim
!= local_dim
&& local_type
== isl_dim_out
)
377 offset
+= local_dim
->n_in
;
378 p
= print_nested_map_dim(p
, global_dim
, global_type
,
379 local_dim
->nested
[local_type
- isl_dim_in
],
380 set
, latex
, eq
, offset
);
382 p
= print_nested_var_list(p
, global_dim
, global_type
,
383 local_dim
, local_type
, set
, latex
, eq
, offset
);
384 if (!latex
|| n
!= 1 || name
)
385 p
= isl_printer_print_str(p
, s_close_list
[latex
]);
389 static __isl_give isl_printer
*print_tuple(__isl_keep isl_dim
*dim
,
390 __isl_take isl_printer
*p
, enum isl_dim_type type
,
391 int set
, int latex
, __isl_keep isl_basic_map
*eq
)
393 return print_nested_tuple(p
, dim
, type
, dim
, type
, set
, latex
, eq
, 0);
396 static __isl_give isl_printer
*print_nested_map_dim(__isl_take isl_printer
*p
,
397 __isl_keep isl_dim
*global_dim
, enum isl_dim_type global_type
,
398 __isl_keep isl_dim
*local_dim
,
399 int set
, int latex
, __isl_keep isl_basic_map
*eq
, int offset
)
401 p
= print_nested_tuple(p
, global_dim
, global_type
,
402 local_dim
, isl_dim_in
, set
, latex
, eq
, offset
);
403 p
= isl_printer_print_str(p
, s_to
[latex
]);
404 p
= print_nested_tuple(p
, global_dim
, global_type
,
405 local_dim
, isl_dim_out
, set
, latex
, eq
, offset
);
410 static __isl_give isl_printer
*print_dim(__isl_keep isl_dim
*dim
,
411 __isl_take isl_printer
*p
, int set
, int latex
,
412 __isl_keep isl_basic_map
*eq
)
415 p
= print_tuple(dim
, p
, isl_dim_set
, 1, latex
, eq
);
417 p
= print_tuple(dim
, p
, isl_dim_in
, 0, latex
, eq
);
418 p
= isl_printer_print_str(p
, s_to
[latex
]);
419 p
= print_tuple(dim
, p
, isl_dim_out
, 0, latex
, eq
);
425 static __isl_give isl_printer
*print_omega_parameters(__isl_keep isl_dim
*dim
,
426 __isl_take isl_printer
*p
)
428 if (isl_dim_size(dim
, isl_dim_param
) == 0)
431 p
= isl_printer_start_line(p
);
432 p
= isl_printer_print_str(p
, "symbolic ");
433 p
= print_var_list(dim
, p
, isl_dim_param
, 0, 0, NULL
);
434 p
= isl_printer_print_str(p
, ";");
435 p
= isl_printer_end_line(p
);
439 static __isl_give isl_printer
*print_constraint(struct isl_basic_map
*bmap
,
440 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
,
441 isl_int
*c
, int last
, const char *op
, int first_constraint
, int set
,
444 if (!first_constraint
)
445 p
= isl_printer_print_str(p
, s_and
[latex
]);
447 isl_int_abs(c
[last
], c
[last
]);
449 p
= print_term(dim
, NULL
, c
[last
], last
, p
, set
, latex
);
451 p
= isl_printer_print_str(p
, " ");
452 p
= isl_printer_print_str(p
, op
);
453 p
= isl_printer_print_str(p
, " ");
455 isl_int_set_si(c
[last
], 0);
456 p
= print_affine(bmap
, dim
, p
, c
, set
);
461 static __isl_give isl_printer
*print_constraints(__isl_keep isl_basic_map
*bmap
,
462 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
, int set
, int latex
)
466 unsigned total
= isl_basic_map_total_dim(bmap
);
468 c
= isl_vec_alloc(bmap
->ctx
, 1 + total
);
472 for (i
= bmap
->n_eq
- 1; i
>= 0; --i
) {
473 int l
= isl_seq_last_non_zero(bmap
->eq
[i
], 1 + total
);
474 isl_assert(bmap
->ctx
, l
>= 0, goto error
);
475 if (isl_int_is_neg(bmap
->eq
[i
][l
]))
476 isl_seq_cpy(c
->el
, bmap
->eq
[i
], 1 + total
);
478 isl_seq_neg(c
->el
, bmap
->eq
[i
], 1 + total
);
479 p
= print_constraint(bmap
, dim
, p
, c
->el
, l
,
480 "=", i
== bmap
->n_eq
- 1, set
, latex
);
482 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
483 int l
= isl_seq_last_non_zero(bmap
->ineq
[i
], 1 + total
);
488 s
= isl_int_sgn(bmap
->ineq
[i
][l
]);
490 isl_seq_cpy(c
->el
, bmap
->ineq
[i
], 1 + total
);
492 isl_seq_neg(c
->el
, bmap
->ineq
[i
], 1 + total
);
493 op
= s
< 0 ? s_le
[latex
] : s_ge
[latex
];
494 p
= print_constraint(bmap
, dim
, p
, c
->el
, l
,
495 op
, !bmap
->n_eq
&& !i
, set
, latex
);
507 static __isl_give isl_printer
*print_omega_constraints(
508 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
, int set
)
510 if (bmap
->n_eq
+ bmap
->n_ineq
== 0)
513 p
= isl_printer_print_str(p
, ": ");
514 if (bmap
->n_div
> 0) {
516 p
= isl_printer_print_str(p
, "exists (");
517 for (i
= 0; i
< bmap
->n_div
; ++i
) {
519 p
= isl_printer_print_str(p
, ", ");
520 p
= print_name(bmap
->dim
, p
, isl_dim_div
, i
, 0, 0);
522 p
= isl_printer_print_str(p
, ": ");
524 p
= print_constraints(bmap
, bmap
->dim
, p
, set
, 0);
526 p
= isl_printer_print_str(p
, ")");
530 static __isl_give isl_printer
*basic_map_print_omega(
531 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
)
533 p
= isl_printer_print_str(p
, "{ [");
534 p
= print_var_list(bmap
->dim
, p
, isl_dim_in
, 0, 0, NULL
);
535 p
= isl_printer_print_str(p
, "] -> [");
536 p
= print_var_list(bmap
->dim
, p
, isl_dim_out
, 0, 0, NULL
);
537 p
= isl_printer_print_str(p
, "] ");
538 p
= print_omega_constraints(bmap
, p
, 0);
539 p
= isl_printer_print_str(p
, " }");
543 static __isl_give isl_printer
*isl_basic_map_print_omega(
544 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
)
546 p
= print_omega_parameters(bmap
->dim
, p
);
548 p
= isl_printer_start_line(p
);
549 p
= basic_map_print_omega(bmap
, p
);
550 p
= isl_printer_end_line(p
);
554 static __isl_give isl_printer
*basic_set_print_omega(
555 __isl_keep isl_basic_set
*bset
, __isl_take isl_printer
*p
)
557 p
= isl_printer_print_str(p
, "{ [");
558 p
= print_var_list(bset
->dim
, p
, isl_dim_set
, 1, 0, NULL
);
559 p
= isl_printer_print_str(p
, "] ");
560 p
= print_omega_constraints((isl_basic_map
*)bset
, p
, 1);
561 p
= isl_printer_print_str(p
, " }");
565 static __isl_give isl_printer
*isl_basic_set_print_omega(
566 __isl_keep isl_basic_set
*bset
, __isl_take isl_printer
*p
)
568 p
= print_omega_parameters(bset
->dim
, p
);
570 p
= isl_printer_start_line(p
);
571 p
= basic_set_print_omega(bset
, p
);
572 p
= isl_printer_end_line(p
);
576 static __isl_give isl_printer
*isl_map_print_omega(__isl_keep isl_map
*map
,
577 __isl_take isl_printer
*p
)
581 p
= print_omega_parameters(map
->dim
, p
);
583 p
= isl_printer_start_line(p
);
584 for (i
= 0; i
< map
->n
; ++i
) {
586 p
= isl_printer_print_str(p
, " union ");
587 p
= basic_map_print_omega(map
->p
[i
], p
);
589 p
= isl_printer_end_line(p
);
593 static __isl_give isl_printer
*isl_set_print_omega(__isl_keep isl_set
*set
,
594 __isl_take isl_printer
*p
)
598 p
= print_omega_parameters(set
->dim
, p
);
600 p
= isl_printer_start_line(p
);
601 for (i
= 0; i
< set
->n
; ++i
) {
603 p
= isl_printer_print_str(p
, " union ");
604 p
= basic_set_print_omega(set
->p
[i
], p
);
606 p
= isl_printer_end_line(p
);
610 static __isl_give isl_printer
*print_disjunct(__isl_keep isl_basic_map
*bmap
,
611 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
, int set
, int latex
)
613 if (bmap
->n_div
> 0) {
615 p
= isl_printer_print_str(p
, s_open_exists
[latex
]);
616 for (i
= 0; i
< bmap
->n_div
; ++i
) {
618 p
= isl_printer_print_str(p
, ", ");
619 p
= print_name(dim
, p
, isl_dim_div
, i
, 0, latex
);
620 if (latex
|| isl_int_is_zero(bmap
->div
[i
][0]))
622 p
= isl_printer_print_str(p
, " = [(");
623 p
= print_affine(bmap
, dim
, p
, bmap
->div
[i
] + 1, set
);
624 p
= isl_printer_print_str(p
, ")/");
625 p
= isl_printer_print_isl_int(p
, bmap
->div
[i
][0]);
626 p
= isl_printer_print_str(p
, "]");
628 p
= isl_printer_print_str(p
, ": ");
631 p
= print_constraints(bmap
, dim
, p
, set
, latex
);
634 p
= isl_printer_print_str(p
, s_close_exists
[latex
]);
638 static __isl_give isl_printer
*isl_basic_map_print_isl(
639 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
,
642 if (isl_basic_map_dim(bmap
, isl_dim_param
) > 0) {
643 p
= print_tuple(bmap
->dim
, p
, isl_dim_param
, 0, latex
, NULL
);
644 p
= isl_printer_print_str(p
, " -> ");
646 p
= isl_printer_print_str(p
, "{ ");
647 p
= print_dim(bmap
->dim
, p
, set
, latex
, NULL
);
648 p
= isl_printer_print_str(p
, " : ");
649 p
= print_disjunct(bmap
, bmap
->dim
, p
, set
, latex
);
650 p
= isl_printer_print_str(p
, " }");
654 static __isl_give isl_printer
*print_disjuncts(__isl_keep isl_map
*map
,
655 __isl_take isl_printer
*p
, int set
, int latex
)
659 if (isl_map_fast_is_universe(map
))
662 p
= isl_printer_print_str(p
, s_such_that
[latex
]);
664 p
= isl_printer_print_str(p
, "1 = 0");
665 for (i
= 0; i
< map
->n
; ++i
) {
667 p
= isl_printer_print_str(p
, s_or
[latex
]);
668 if (map
->n
> 1 && map
->p
[i
]->n_eq
+ map
->p
[i
]->n_ineq
> 1)
669 p
= isl_printer_print_str(p
, "(");
670 p
= print_disjunct(map
->p
[i
], map
->dim
, p
, set
, latex
);
671 if (map
->n
> 1 && map
->p
[i
]->n_eq
+ map
->p
[i
]->n_ineq
> 1)
672 p
= isl_printer_print_str(p
, ")");
677 struct isl_aff_split
{
682 static void free_split(__isl_take
struct isl_aff_split
*split
, int n
)
689 for (i
= 0; i
< n
; ++i
) {
690 isl_basic_map_free(split
[i
].aff
);
691 isl_map_free(split
[i
].map
);
697 static __isl_give isl_basic_map
*get_aff(__isl_take isl_basic_map
*bmap
)
700 unsigned nparam
, n_in
, n_out
, total
;
702 bmap
= isl_basic_map_cow(bmap
);
705 if (isl_basic_map_free_inequality(bmap
, bmap
->n_ineq
) < 0)
708 nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
709 n_in
= isl_basic_map_dim(bmap
, isl_dim_in
);
710 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
711 total
= isl_basic_map_dim(bmap
, isl_dim_all
);
712 for (i
= bmap
->n_eq
- 1; i
>= 0; --i
) {
713 j
= isl_seq_last_non_zero(bmap
->eq
[i
] + 1, total
);
714 if (j
>= nparam
&& j
< nparam
+ n_in
+ n_out
&&
715 (isl_int_is_one(bmap
->eq
[i
][1 + j
]) ||
716 isl_int_is_negone(bmap
->eq
[i
][1 + j
])))
718 if (isl_basic_map_drop_equality(bmap
, i
) < 0)
722 bmap
= isl_basic_map_finalize(bmap
);
726 isl_basic_map_free(bmap
);
730 static int aff_split_cmp(const void *p1
, const void *p2
)
732 const struct isl_aff_split
*s1
, *s2
;
733 s1
= (const struct isl_aff_split
*) p1
;
734 s2
= (const struct isl_aff_split
*) p2
;
736 return isl_basic_map_fast_cmp(s1
->aff
, s2
->aff
);
739 static __isl_give isl_basic_map
*drop_aff(__isl_take isl_basic_map
*bmap
,
740 __isl_keep isl_basic_map
*aff
)
748 total
= isl_dim_total(bmap
->dim
);
750 for (i
= bmap
->n_eq
- 1; i
>= 0; --i
) {
751 if (isl_seq_first_non_zero(bmap
->eq
[i
] + 1 + total
,
754 for (j
= 0; j
< aff
->n_eq
; ++j
) {
755 if (!isl_seq_eq(bmap
->eq
[i
], aff
->eq
[j
], 1 + total
) &&
756 !isl_seq_is_neg(bmap
->eq
[i
], aff
->eq
[j
], 1 + total
))
758 if (isl_basic_map_drop_equality(bmap
, i
) < 0)
766 isl_basic_map_free(bmap
);
770 static __isl_give
struct isl_aff_split
*split_aff(__isl_keep isl_map
*map
)
773 struct isl_aff_split
*split
;
775 split
= isl_calloc_array(map
->isl
, struct isl_aff_split
, map
->n
);
779 for (i
= 0; i
< map
->n
; ++i
) {
781 split
[i
].aff
= get_aff(isl_basic_map_copy(map
->p
[i
]));
782 bmap
= isl_basic_map_copy(map
->p
[i
]);
783 bmap
= isl_basic_map_cow(bmap
);
784 bmap
= drop_aff(bmap
, split
[i
].aff
);
785 split
[i
].map
= isl_map_from_basic_map(bmap
);
786 if (!split
[i
].aff
|| !split
[i
].map
)
790 qsort(split
, map
->n
, sizeof(struct isl_aff_split
), &aff_split_cmp
);
793 for (i
= n
- 1; i
>= 1; --i
) {
794 if (!isl_basic_map_fast_is_equal(split
[i
- 1].aff
,
797 isl_basic_map_free(split
[i
].aff
);
798 split
[i
- 1].map
= isl_map_union(split
[i
- 1].map
,
801 split
[i
] = split
[n
- 1];
802 split
[n
- 1].aff
= NULL
;
803 split
[n
- 1].map
= NULL
;
809 free_split(split
, map
->n
);
813 static __isl_give isl_printer
*print_split_map(__isl_take isl_printer
*p
,
814 struct isl_aff_split
*split
, int n
, int set
)
818 for (i
= 0; i
< n
; ++i
) {
823 dim
= split
[i
].map
->dim
;
825 p
= isl_printer_print_str(p
, "; ");
826 p
= print_dim(dim
, p
, set
, 0, split
[i
].aff
);
827 p
= print_disjuncts(split
[i
].map
, p
, set
, 0);
833 static __isl_give isl_printer
*isl_map_print_isl_body(__isl_keep isl_map
*map
,
834 __isl_take isl_printer
*p
, int set
)
836 struct isl_aff_split
*split
= NULL
;
839 split
= split_aff(map
);
841 p
= print_split_map(p
, split
, map
->n
, set
);
843 p
= print_dim(map
->dim
, p
, set
, 0, NULL
);
844 p
= print_disjuncts(map
, p
, set
, 0);
846 free_split(split
, map
->n
);
850 static __isl_give isl_printer
*isl_map_print_isl(__isl_keep isl_map
*map
,
851 __isl_take isl_printer
*p
, int set
)
853 if (isl_map_dim(map
, isl_dim_param
) > 0) {
854 p
= print_tuple(map
->dim
, p
, isl_dim_param
, set
, 0, NULL
);
855 p
= isl_printer_print_str(p
, s_to
[0]);
857 p
= isl_printer_print_str(p
, s_open_set
[0]);
858 p
= isl_map_print_isl_body(map
, p
, set
);
859 p
= isl_printer_print_str(p
, s_close_set
[0]);
863 static __isl_give isl_printer
*print_latex_map(__isl_keep isl_map
*map
,
864 __isl_take isl_printer
*p
, __isl_keep isl_basic_map
*aff
, int set
)
866 if (isl_map_dim(map
, isl_dim_param
) > 0) {
867 p
= print_tuple(map
->dim
, p
, isl_dim_param
, set
, 1, NULL
);
868 p
= isl_printer_print_str(p
, s_to
[1]);
870 p
= isl_printer_print_str(p
, s_open_set
[1]);
871 p
= print_dim(map
->dim
, p
, set
, 1, aff
);
872 p
= print_disjuncts(map
, p
, set
, 1);
873 p
= isl_printer_print_str(p
, s_close_set
[1]);
878 static __isl_give isl_printer
*isl_map_print_latex(__isl_keep isl_map
*map
,
879 __isl_take isl_printer
*p
, int set
)
882 struct isl_aff_split
*split
= NULL
;
885 split
= split_aff(map
);
888 return print_latex_map(map
, p
, NULL
, set
);
890 for (i
= 0; i
< map
->n
; ++i
) {
894 p
= isl_printer_print_str(p
, " \\cup ");
895 p
= print_latex_map(split
[i
].map
, p
, split
[i
].aff
, set
);
898 free_split(split
, map
->n
);
902 __isl_give isl_printer
*isl_printer_print_basic_map(__isl_take isl_printer
*p
,
903 __isl_keep isl_basic_map
*bmap
)
907 if (p
->output_format
== ISL_FORMAT_ISL
)
908 return isl_basic_map_print_isl(bmap
, p
, 0, 0);
909 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
910 return isl_basic_map_print_omega(bmap
, p
);
911 isl_assert(bmap
->ctx
, 0, goto error
);
917 void isl_basic_map_print(__isl_keep isl_basic_map
*bmap
, FILE *out
, int indent
,
918 const char *prefix
, const char *suffix
, unsigned output_format
)
920 isl_printer
*printer
;
925 printer
= isl_printer_to_file(bmap
->ctx
, out
);
926 printer
= isl_printer_set_indent(printer
, indent
);
927 printer
= isl_printer_set_prefix(printer
, prefix
);
928 printer
= isl_printer_set_suffix(printer
, suffix
);
929 printer
= isl_printer_set_output_format(printer
, output_format
);
930 isl_printer_print_basic_map(printer
, bmap
);
932 isl_printer_free(printer
);
935 __isl_give isl_printer
*isl_printer_print_basic_set(__isl_take isl_printer
*p
,
936 __isl_keep isl_basic_set
*bset
)
941 if (p
->output_format
== ISL_FORMAT_ISL
)
942 return isl_basic_map_print_isl(bset
, p
, 1, 0);
943 else if (p
->output_format
== ISL_FORMAT_POLYLIB
)
944 return isl_basic_set_print_polylib(bset
, p
, 0);
945 else if (p
->output_format
== ISL_FORMAT_EXT_POLYLIB
)
946 return isl_basic_set_print_polylib(bset
, p
, 1);
947 else if (p
->output_format
== ISL_FORMAT_POLYLIB_CONSTRAINTS
)
948 return bset_print_constraints_polylib(bset
, p
);
949 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
950 return isl_basic_set_print_omega(bset
, p
);
951 isl_assert(p
->ctx
, 0, goto error
);
957 void isl_basic_set_print(struct isl_basic_set
*bset
, FILE *out
, int indent
,
958 const char *prefix
, const char *suffix
, unsigned output_format
)
960 isl_printer
*printer
;
965 printer
= isl_printer_to_file(bset
->ctx
, out
);
966 printer
= isl_printer_set_indent(printer
, indent
);
967 printer
= isl_printer_set_prefix(printer
, prefix
);
968 printer
= isl_printer_set_suffix(printer
, suffix
);
969 printer
= isl_printer_set_output_format(printer
, output_format
);
970 isl_printer_print_basic_set(printer
, bset
);
972 isl_printer_free(printer
);
975 __isl_give isl_printer
*isl_printer_print_set(__isl_take isl_printer
*p
,
976 __isl_keep isl_set
*set
)
980 if (p
->output_format
== ISL_FORMAT_ISL
)
981 return isl_map_print_isl((isl_map
*)set
, p
, 1);
982 else if (p
->output_format
== ISL_FORMAT_POLYLIB
)
983 return isl_set_print_polylib(set
, p
, 0);
984 else if (p
->output_format
== ISL_FORMAT_EXT_POLYLIB
)
985 return isl_set_print_polylib(set
, p
, 1);
986 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
987 return isl_set_print_omega(set
, p
);
988 else if (p
->output_format
== ISL_FORMAT_LATEX
)
989 return isl_map_print_latex((isl_map
*)set
, p
, 1);
990 isl_assert(set
->ctx
, 0, goto error
);
996 void isl_set_print(struct isl_set
*set
, FILE *out
, int indent
,
997 unsigned output_format
)
999 isl_printer
*printer
;
1004 printer
= isl_printer_to_file(set
->ctx
, out
);
1005 printer
= isl_printer_set_indent(printer
, indent
);
1006 printer
= isl_printer_set_output_format(printer
, output_format
);
1007 printer
= isl_printer_print_set(printer
, set
);
1009 isl_printer_free(printer
);
1012 __isl_give isl_printer
*isl_printer_print_map(__isl_take isl_printer
*p
,
1013 __isl_keep isl_map
*map
)
1018 if (p
->output_format
== ISL_FORMAT_ISL
)
1019 return isl_map_print_isl(map
, p
, 0);
1020 else if (p
->output_format
== ISL_FORMAT_POLYLIB
)
1021 return isl_map_print_polylib(map
, p
, 0);
1022 else if (p
->output_format
== ISL_FORMAT_EXT_POLYLIB
)
1023 return isl_map_print_polylib(map
, p
, 1);
1024 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
1025 return isl_map_print_omega(map
, p
);
1026 else if (p
->output_format
== ISL_FORMAT_LATEX
)
1027 return isl_map_print_latex(map
, p
, 0);
1028 isl_assert(map
->ctx
, 0, goto error
);
1030 isl_printer_free(p
);
1034 struct isl_union_print_data
{
1040 static int print_map_body(__isl_take isl_map
*map
, void *user
)
1042 struct isl_union_print_data
*data
;
1043 data
= (struct isl_union_print_data
*)user
;
1046 data
->p
= isl_printer_print_str(data
->p
, "; ");
1049 data
->p
= isl_map_print_isl_body(map
, data
->p
, data
->set
);
1055 static __isl_give isl_printer
*isl_union_map_print_isl(
1056 __isl_keep isl_union_map
*umap
, __isl_take isl_printer
*p
, int set
)
1058 struct isl_union_print_data data
= { p
, set
, 1 };
1060 dim
= isl_union_map_get_dim(umap
);
1061 if (isl_dim_size(dim
, isl_dim_param
) > 0) {
1062 p
= print_tuple(dim
, p
, isl_dim_param
, set
, 0, NULL
);
1063 p
= isl_printer_print_str(p
, s_to
[0]);
1066 p
= isl_printer_print_str(p
, s_open_set
[0]);
1067 isl_union_map_foreach_map(umap
, &print_map_body
, &data
);
1069 p
= isl_printer_print_str(p
, s_close_set
[0]);
1073 static int print_latex_map_body(__isl_take isl_map
*map
, void *user
)
1075 struct isl_union_print_data
*data
;
1076 data
= (struct isl_union_print_data
*)user
;
1079 data
->p
= isl_printer_print_str(data
->p
, " \\cup ");
1082 data
->p
= isl_map_print_latex(map
, data
->p
, data
->set
);
1088 static __isl_give isl_printer
*isl_union_map_print_latex(
1089 __isl_keep isl_union_map
*umap
, __isl_take isl_printer
*p
, int set
)
1091 struct isl_union_print_data data
= { p
, set
, 1 };
1092 isl_union_map_foreach_map(umap
, &print_latex_map_body
, &data
);
1097 __isl_give isl_printer
*isl_printer_print_union_map(__isl_take isl_printer
*p
,
1098 __isl_keep isl_union_map
*umap
)
1103 if (p
->output_format
== ISL_FORMAT_ISL
)
1104 return isl_union_map_print_isl(umap
, p
, 0);
1105 if (p
->output_format
== ISL_FORMAT_LATEX
)
1106 return isl_union_map_print_latex(umap
, p
, 0);
1108 isl_die(p
->ctx
, isl_error_invalid
,
1109 "invalid output format for isl_union_map", goto error
);
1111 isl_printer_free(p
);
1115 __isl_give isl_printer
*isl_printer_print_union_set(__isl_take isl_printer
*p
,
1116 __isl_keep isl_union_set
*uset
)
1121 if (p
->output_format
== ISL_FORMAT_ISL
)
1122 return isl_union_map_print_isl((isl_union_map
*)uset
, p
, 1);
1123 if (p
->output_format
== ISL_FORMAT_LATEX
)
1124 return isl_union_map_print_latex((isl_union_map
*)uset
, p
, 1);
1126 isl_die(p
->ctx
, isl_error_invalid
,
1127 "invalid output format for isl_union_set", goto error
);
1129 isl_printer_free(p
);
1133 void isl_map_print(__isl_keep isl_map
*map
, FILE *out
, int indent
,
1134 unsigned output_format
)
1136 isl_printer
*printer
;
1141 printer
= isl_printer_to_file(map
->ctx
, out
);
1142 printer
= isl_printer_set_indent(printer
, indent
);
1143 printer
= isl_printer_set_output_format(printer
, output_format
);
1144 printer
= isl_printer_print_map(printer
, map
);
1146 isl_printer_free(printer
);
1149 void isl_basic_map_dump(__isl_keep isl_basic_map
*bmap
)
1151 isl_printer
*printer
;
1156 printer
= isl_printer_to_file(isl_basic_map_get_ctx(bmap
), stderr
);
1157 printer
= isl_printer_print_basic_map(printer
, bmap
);
1158 printer
= isl_printer_end_line(printer
);
1160 isl_printer_free(printer
);
1163 void isl_basic_set_dump(__isl_keep isl_basic_set
*bset
)
1165 isl_printer
*printer
;
1170 printer
= isl_printer_to_file(isl_basic_set_get_ctx(bset
), stderr
);
1171 printer
= isl_printer_print_basic_set(printer
, bset
);
1172 printer
= isl_printer_end_line(printer
);
1174 isl_printer_free(printer
);
1177 void isl_map_dump(__isl_keep isl_map
*map
)
1179 isl_printer
*printer
;
1184 printer
= isl_printer_to_file(isl_map_get_ctx(map
), stderr
);
1185 printer
= isl_printer_print_map(printer
, map
);
1186 printer
= isl_printer_end_line(printer
);
1188 isl_printer_free(printer
);
1191 void isl_set_dump(__isl_keep isl_set
*set
)
1193 isl_printer
*printer
;
1198 printer
= isl_printer_to_file(isl_set_get_ctx(set
), stderr
);
1199 printer
= isl_printer_print_set(printer
, set
);
1200 printer
= isl_printer_end_line(printer
);
1202 isl_printer_free(printer
);
1205 void isl_union_map_dump(__isl_keep isl_union_map
*umap
)
1207 isl_printer
*printer
;
1212 printer
= isl_printer_to_file(isl_union_map_get_ctx(umap
), stderr
);
1213 printer
= isl_printer_print_union_map(printer
, umap
);
1214 printer
= isl_printer_end_line(printer
);
1216 isl_printer_free(printer
);
1219 void isl_union_set_dump(__isl_keep isl_union_set
*uset
)
1221 isl_printer
*printer
;
1226 printer
= isl_printer_to_file(isl_union_set_get_ctx(uset
), stderr
);
1227 printer
= isl_printer_print_union_set(printer
, uset
);
1228 printer
= isl_printer_end_line(printer
);
1230 isl_printer_free(printer
);
1233 void isl_union_pw_qpolynomial_dump(__isl_keep isl_union_pw_qpolynomial
*upwqp
)
1235 isl_printer
*printer
;
1240 printer
= isl_printer_to_file(isl_union_pw_qpolynomial_get_ctx(upwqp
),
1242 printer
= isl_printer_print_union_pw_qpolynomial(printer
, upwqp
);
1243 printer
= isl_printer_end_line(printer
);
1245 isl_printer_free(printer
);
1248 void isl_qpolynomial_dump(__isl_keep isl_qpolynomial
*qp
)
1250 isl_printer
*printer
;
1255 printer
= isl_printer_to_file(isl_qpolynomial_get_ctx(qp
), stderr
);
1256 printer
= isl_printer_print_qpolynomial(printer
, qp
);
1257 printer
= isl_printer_end_line(printer
);
1259 isl_printer_free(printer
);
1262 void isl_qpolynomial_fold_dump(__isl_keep isl_qpolynomial_fold
*fold
)
1264 isl_printer
*printer
;
1269 printer
= isl_printer_to_file(isl_qpolynomial_fold_get_ctx(fold
),
1271 printer
= isl_printer_print_qpolynomial_fold(printer
, fold
);
1272 printer
= isl_printer_end_line(printer
);
1274 isl_printer_free(printer
);
1277 void isl_pw_qpolynomial_dump(__isl_keep isl_pw_qpolynomial
*pwqp
)
1279 isl_printer
*printer
;
1284 printer
= isl_printer_to_file(isl_pw_qpolynomial_get_ctx(pwqp
), stderr
);
1285 printer
= isl_printer_print_pw_qpolynomial(printer
, pwqp
);
1286 printer
= isl_printer_end_line(printer
);
1288 isl_printer_free(printer
);
1291 void isl_pw_qpolynomial_fold_dump(__isl_keep isl_pw_qpolynomial_fold
*pwf
)
1293 isl_printer
*printer
;
1298 printer
= isl_printer_to_file(
1299 isl_pw_qpolynomial_fold_get_ctx(pwf
), stderr
);
1300 printer
= isl_printer_print_pw_qpolynomial_fold(printer
, pwf
);
1301 printer
= isl_printer_end_line(printer
);
1303 isl_printer_free(printer
);
1306 void isl_union_pw_qpolynomial_fold_dump(
1307 __isl_keep isl_union_pw_qpolynomial_fold
*upwf
)
1309 isl_printer
*printer
;
1314 printer
= isl_printer_to_file(
1315 isl_union_pw_qpolynomial_fold_get_ctx(upwf
), stderr
);
1316 printer
= isl_printer_print_union_pw_qpolynomial_fold(printer
, upwf
);
1317 printer
= isl_printer_end_line(printer
);
1319 isl_printer_free(printer
);
1322 static int upoly_rec_n_non_zero(__isl_keep
struct isl_upoly_rec
*rec
)
1327 for (i
= 0, n
= 0; i
< rec
->n
; ++i
)
1328 if (!isl_upoly_is_zero(rec
->p
[i
]))
1334 static __isl_give isl_printer
*print_div(__isl_keep isl_dim
*dim
,
1335 __isl_keep isl_mat
*div
, int pos
, __isl_take isl_printer
*p
)
1337 int c
= p
->output_format
== ISL_FORMAT_C
;
1338 p
= isl_printer_print_str(p
, c
? "floord(" : "[(");
1339 p
= print_affine_of_len(dim
, div
, p
,
1340 div
->row
[pos
] + 1, div
->n_col
- 1, 1);
1341 p
= isl_printer_print_str(p
, c
? ", " : ")/");
1342 p
= isl_printer_print_isl_int(p
, div
->row
[pos
][0]);
1343 p
= isl_printer_print_str(p
, c
? ")" : "]");
1347 static __isl_give isl_printer
*upoly_print_cst(__isl_keep
struct isl_upoly
*up
,
1348 __isl_take isl_printer
*p
, int first
)
1350 struct isl_upoly_cst
*cst
;
1353 cst
= isl_upoly_as_cst(up
);
1356 neg
= !first
&& isl_int_is_neg(cst
->n
);
1358 p
= isl_printer_print_str(p
, neg
? " - " : " + ");
1360 isl_int_neg(cst
->n
, cst
->n
);
1361 if (isl_int_is_zero(cst
->d
)) {
1362 int sgn
= isl_int_sgn(cst
->n
);
1363 p
= isl_printer_print_str(p
, sgn
< 0 ? "-infty" :
1364 sgn
== 0 ? "NaN" : "infty");
1366 p
= isl_printer_print_isl_int(p
, cst
->n
);
1368 isl_int_neg(cst
->n
, cst
->n
);
1369 if (!isl_int_is_zero(cst
->d
) && !isl_int_is_one(cst
->d
)) {
1370 p
= isl_printer_print_str(p
, "/");
1371 p
= isl_printer_print_isl_int(p
, cst
->d
);
1375 isl_printer_free(p
);
1379 static __isl_give isl_printer
*print_base(__isl_take isl_printer
*p
,
1380 __isl_keep isl_dim
*dim
, __isl_keep isl_mat
*div
, int var
)
1384 total
= isl_dim_total(dim
);
1386 p
= print_term(dim
, NULL
, dim
->ctx
->one
, 1 + var
, p
, 1, 0);
1388 p
= print_div(dim
, div
, var
- total
, p
);
1392 static __isl_give isl_printer
*print_pow(__isl_take isl_printer
*p
,
1393 __isl_keep isl_dim
*dim
, __isl_keep isl_mat
*div
, int var
, int exp
)
1395 p
= print_base(p
, dim
, div
, var
);
1398 if (p
->output_format
== ISL_FORMAT_C
) {
1400 for (i
= 1; i
< exp
; ++i
) {
1401 p
= isl_printer_print_str(p
, "*");
1402 p
= print_base(p
, dim
, div
, var
);
1405 p
= isl_printer_print_str(p
, "^");
1406 p
= isl_printer_print_int(p
, exp
);
1411 static __isl_give isl_printer
*upoly_print(__isl_keep
struct isl_upoly
*up
,
1412 __isl_keep isl_dim
*dim
, __isl_keep isl_mat
*div
,
1413 __isl_take isl_printer
*p
, int outer
)
1415 int i
, n
, first
, print_parens
;
1416 struct isl_upoly_rec
*rec
;
1418 if (!p
|| !up
|| !dim
|| !div
)
1421 if (isl_upoly_is_cst(up
))
1422 return upoly_print_cst(up
, p
, 1);
1424 rec
= isl_upoly_as_rec(up
);
1427 n
= upoly_rec_n_non_zero(rec
);
1428 print_parens
= n
> 1 || (outer
&& rec
->up
.var
>= isl_dim_total(dim
));
1430 p
= isl_printer_print_str(p
, "(");
1431 for (i
= 0, first
= 1; i
< rec
->n
; ++i
) {
1432 if (isl_upoly_is_zero(rec
->p
[i
]))
1434 if (isl_upoly_is_negone(rec
->p
[i
])) {
1436 p
= isl_printer_print_str(p
, "-1");
1438 p
= isl_printer_print_str(p
, "-");
1440 p
= isl_printer_print_str(p
, " - ");
1441 } else if (isl_upoly_is_cst(rec
->p
[i
]) &&
1442 !isl_upoly_is_one(rec
->p
[i
]))
1443 p
= upoly_print_cst(rec
->p
[i
], p
, first
);
1446 p
= isl_printer_print_str(p
, " + ");
1447 if (i
== 0 || !isl_upoly_is_one(rec
->p
[i
]))
1448 p
= upoly_print(rec
->p
[i
], dim
, div
, p
, 0);
1453 if (!isl_upoly_is_one(rec
->p
[i
]) &&
1454 !isl_upoly_is_negone(rec
->p
[i
]))
1455 p
= isl_printer_print_str(p
, " * ");
1456 p
= print_pow(p
, dim
, div
, rec
->up
.var
, i
);
1459 p
= isl_printer_print_str(p
, ")");
1462 isl_printer_free(p
);
1466 __isl_give isl_printer
*isl_printer_print_qpolynomial(__isl_take isl_printer
*p
,
1467 __isl_keep isl_qpolynomial
*qp
)
1471 p
= upoly_print(qp
->upoly
, qp
->dim
, qp
->div
, p
, 1);
1474 isl_printer_free(p
);
1478 void isl_qpolynomial_print(__isl_keep isl_qpolynomial
*qp
, FILE *out
,
1479 unsigned output_format
)
1486 isl_assert(qp
->dim
->ctx
, output_format
== ISL_FORMAT_ISL
, return);
1487 p
= isl_printer_to_file(qp
->dim
->ctx
, out
);
1488 p
= isl_printer_print_qpolynomial(p
, qp
);
1489 isl_printer_free(p
);
1492 static __isl_give isl_printer
*qpolynomial_fold_print(
1493 __isl_keep isl_qpolynomial_fold
*fold
, __isl_take isl_printer
*p
)
1497 if (fold
->type
== isl_fold_min
)
1498 p
= isl_printer_print_str(p
, "min");
1499 else if (fold
->type
== isl_fold_max
)
1500 p
= isl_printer_print_str(p
, "max");
1501 p
= isl_printer_print_str(p
, "(");
1502 for (i
= 0; i
< fold
->n
; ++i
) {
1504 p
= isl_printer_print_str(p
, ", ");
1505 p
= isl_printer_print_qpolynomial(p
, fold
->qp
[i
]);
1507 p
= isl_printer_print_str(p
, ")");
1511 void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold
*fold
,
1512 FILE *out
, unsigned output_format
)
1519 isl_assert(fold
->dim
->ctx
, output_format
== ISL_FORMAT_ISL
, return);
1521 p
= isl_printer_to_file(fold
->dim
->ctx
, out
);
1522 p
= isl_printer_print_qpolynomial_fold(p
, fold
);
1524 isl_printer_free(p
);
1527 static __isl_give isl_printer
*isl_pwqp_print_isl_body(
1528 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1532 for (i
= 0; i
< pwqp
->n
; ++i
) {
1534 p
= isl_printer_print_str(p
, "; ");
1535 if (isl_dim_size(pwqp
->dim
, isl_dim_set
) > 0 ||
1536 isl_dim_is_named_or_nested(pwqp
->dim
, isl_dim_set
)) {
1537 p
= print_dim(pwqp
->p
[i
].set
->dim
, p
, 1, 0, NULL
);
1538 p
= isl_printer_print_str(p
, " -> ");
1540 p
= isl_printer_print_qpolynomial(p
, pwqp
->p
[i
].qp
);
1541 p
= print_disjuncts((isl_map
*)pwqp
->p
[i
].set
, p
, 1, 0);
1547 static __isl_give isl_printer
*print_pw_qpolynomial_isl(
1548 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1553 if (isl_dim_size(pwqp
->dim
, isl_dim_param
) > 0) {
1554 p
= print_tuple(pwqp
->dim
, p
, isl_dim_param
, 0, 0, NULL
);
1555 p
= isl_printer_print_str(p
, " -> ");
1557 p
= isl_printer_print_str(p
, "{ ");
1559 if (isl_dim_size(pwqp
->dim
, isl_dim_set
) > 0 ||
1560 isl_dim_is_named_or_nested(pwqp
->dim
, isl_dim_set
)) {
1561 p
= print_dim(pwqp
->dim
, p
, 1, 0, NULL
);
1562 p
= isl_printer_print_str(p
, " -> ");
1564 p
= isl_printer_print_str(p
, "0");
1566 p
= isl_pwqp_print_isl_body(p
, pwqp
);
1567 p
= isl_printer_print_str(p
, " }");
1570 isl_printer_free(p
);
1574 void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial
*pwqp
, FILE *out
,
1575 unsigned output_format
)
1582 p
= isl_printer_to_file(pwqp
->dim
->ctx
, out
);
1583 p
= isl_printer_set_output_format(p
, output_format
);
1584 p
= isl_printer_print_pw_qpolynomial(p
, pwqp
);
1586 isl_printer_free(p
);
1589 static __isl_give isl_printer
*isl_pwf_print_isl_body(
1590 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1594 for (i
= 0; i
< pwf
->n
; ++i
) {
1596 p
= isl_printer_print_str(p
, "; ");
1597 if (isl_dim_size(pwf
->dim
, isl_dim_set
) > 0 ||
1598 isl_dim_is_named_or_nested(pwf
->dim
, isl_dim_set
)) {
1599 p
= print_dim(pwf
->p
[i
].set
->dim
, p
, 1, 0, NULL
);
1600 p
= isl_printer_print_str(p
, " -> ");
1602 p
= qpolynomial_fold_print(pwf
->p
[i
].fold
, p
);
1603 p
= print_disjuncts((isl_map
*)pwf
->p
[i
].set
, p
, 1, 0);
1609 static __isl_give isl_printer
*print_pw_qpolynomial_fold_isl(
1610 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1612 if (isl_dim_size(pwf
->dim
, isl_dim_param
) > 0) {
1613 p
= print_tuple(pwf
->dim
, p
, isl_dim_param
, 0, 0, NULL
);
1614 p
= isl_printer_print_str(p
, " -> ");
1616 p
= isl_printer_print_str(p
, "{ ");
1618 if (isl_dim_size(pwf
->dim
, isl_dim_set
) > 0 ||
1619 isl_dim_is_named_or_nested(pwf
->dim
, isl_dim_set
)) {
1620 p
= print_dim(pwf
->dim
, p
, 1, 0, NULL
);
1621 p
= isl_printer_print_str(p
, " -> ");
1623 p
= isl_printer_print_str(p
, "0");
1625 p
= isl_pwf_print_isl_body(p
, pwf
);
1626 p
= isl_printer_print_str(p
, " }");
1630 static __isl_give isl_printer
*print_affine_c(__isl_take isl_printer
*p
,
1631 __isl_keep isl_dim
*dim
, __isl_keep isl_basic_set
*bset
, isl_int
*c
);
1633 static __isl_give isl_printer
*print_name_c(__isl_take isl_printer
*p
,
1634 __isl_keep isl_dim
*dim
,
1635 __isl_keep isl_basic_set
*bset
, enum isl_dim_type type
, unsigned pos
)
1637 if (type
== isl_dim_div
) {
1638 p
= isl_printer_print_str(p
, "floord(");
1639 p
= print_affine_c(p
, dim
, bset
, bset
->div
[pos
] + 1);
1640 p
= isl_printer_print_str(p
, ", ");
1641 p
= isl_printer_print_isl_int(p
, bset
->div
[pos
][0]);
1642 p
= isl_printer_print_str(p
, ")");
1646 name
= isl_dim_get_name(dim
, type
, pos
);
1649 p
= isl_printer_print_str(p
, name
);
1654 static __isl_give isl_printer
*print_term_c(__isl_take isl_printer
*p
,
1655 __isl_keep isl_dim
*dim
,
1656 __isl_keep isl_basic_set
*bset
, isl_int c
, unsigned pos
)
1658 enum isl_dim_type type
;
1659 unsigned nparam
= isl_basic_set_dim(bset
, isl_dim_param
);
1662 return isl_printer_print_isl_int(p
, c
);
1664 if (isl_int_is_one(c
))
1666 else if (isl_int_is_negone(c
))
1667 p
= isl_printer_print_str(p
, "-");
1669 p
= isl_printer_print_isl_int(p
, c
);
1670 p
= isl_printer_print_str(p
, "*");
1672 type
= pos2type(dim
, &pos
);
1673 p
= print_name_c(p
, dim
, bset
, type
, pos
);
1677 static __isl_give isl_printer
*print_partial_affine_c(__isl_take isl_printer
*p
,
1678 __isl_keep isl_dim
*dim
,
1679 __isl_keep isl_basic_set
*bset
, isl_int
*c
, unsigned len
)
1684 for (i
= 0, first
= 1; i
< len
; ++i
) {
1686 if (isl_int_is_zero(c
[i
]))
1689 if (isl_int_is_neg(c
[i
])) {
1691 isl_int_neg(c
[i
], c
[i
]);
1692 p
= isl_printer_print_str(p
, " - ");
1694 p
= isl_printer_print_str(p
, " + ");
1697 p
= print_term_c(p
, dim
, bset
, c
[i
], i
);
1699 isl_int_neg(c
[i
], c
[i
]);
1702 p
= isl_printer_print_str(p
, "0");
1706 static __isl_give isl_printer
*print_affine_c(__isl_take isl_printer
*p
,
1707 __isl_keep isl_dim
*dim
, __isl_keep isl_basic_set
*bset
, isl_int
*c
)
1709 unsigned len
= 1 + isl_basic_set_total_dim(bset
);
1710 return print_partial_affine_c(p
, dim
, bset
, c
, len
);
1713 static __isl_give isl_printer
*print_constraint_c(__isl_take isl_printer
*p
,
1714 __isl_keep isl_dim
*dim
,
1715 __isl_keep isl_basic_set
*bset
, isl_int
*c
, const char *op
, int first
)
1718 p
= isl_printer_print_str(p
, " && ");
1720 p
= print_affine_c(p
, dim
, bset
, c
);
1721 p
= isl_printer_print_str(p
, " ");
1722 p
= isl_printer_print_str(p
, op
);
1723 p
= isl_printer_print_str(p
, " 0");
1727 static __isl_give isl_printer
*print_basic_set_c(__isl_take isl_printer
*p
,
1728 __isl_keep isl_dim
*dim
, __isl_keep isl_basic_set
*bset
)
1731 unsigned n_div
= isl_basic_set_dim(bset
, isl_dim_div
);
1732 unsigned total
= isl_basic_set_total_dim(bset
) - n_div
;
1734 for (i
= 0; i
< bset
->n_eq
; ++i
) {
1735 j
= isl_seq_last_non_zero(bset
->eq
[i
] + 1 + total
, n_div
);
1737 p
= print_constraint_c(p
, dim
, bset
,
1738 bset
->eq
[i
], "==", !i
);
1741 p
= isl_printer_print_str(p
, " && ");
1742 p
= isl_printer_print_str(p
, "(");
1743 p
= print_partial_affine_c(p
, dim
, bset
, bset
->eq
[i
],
1745 p
= isl_printer_print_str(p
, ") % ");
1746 p
= isl_printer_print_isl_int(p
,
1747 bset
->eq
[i
][1 + total
+ j
]);
1748 p
= isl_printer_print_str(p
, " == 0");
1751 for (i
= 0; i
< bset
->n_ineq
; ++i
)
1752 p
= print_constraint_c(p
, dim
, bset
, bset
->ineq
[i
], ">=",
1757 static __isl_give isl_printer
*print_set_c(__isl_take isl_printer
*p
,
1758 __isl_keep isl_dim
*dim
, __isl_keep isl_set
*set
)
1763 p
= isl_printer_print_str(p
, "0");
1765 for (i
= 0; i
< set
->n
; ++i
) {
1767 p
= isl_printer_print_str(p
, " || ");
1769 p
= isl_printer_print_str(p
, "(");
1770 p
= print_basic_set_c(p
, dim
, set
->p
[i
]);
1772 p
= isl_printer_print_str(p
, ")");
1777 static __isl_give isl_printer
*print_qpolynomial_c(__isl_take isl_printer
*p
,
1778 __isl_keep isl_dim
*dim
, __isl_keep isl_qpolynomial
*qp
)
1783 isl_qpolynomial_get_den(qp
, &den
);
1784 if (!isl_int_is_one(den
)) {
1786 p
= isl_printer_print_str(p
, "(");
1787 qp
= isl_qpolynomial_copy(qp
);
1788 f
= isl_qpolynomial_rat_cst(isl_dim_copy(qp
->dim
),
1789 den
, qp
->dim
->ctx
->one
);
1790 qp
= isl_qpolynomial_mul(qp
, f
);
1793 p
= upoly_print(qp
->upoly
, dim
, qp
->div
, p
, 0);
1794 if (!isl_int_is_one(den
)) {
1795 p
= isl_printer_print_str(p
, ")/");
1796 p
= isl_printer_print_isl_int(p
, den
);
1797 isl_qpolynomial_free(qp
);
1803 static __isl_give isl_printer
*print_pw_qpolynomial_c(
1804 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1808 if (pwqp
->n
== 1 && isl_set_fast_is_universe(pwqp
->p
[0].set
))
1809 return print_qpolynomial_c(p
, pwqp
->dim
, pwqp
->p
[0].qp
);
1811 for (i
= 0; i
< pwqp
->n
; ++i
) {
1812 p
= isl_printer_print_str(p
, "(");
1813 p
= print_set_c(p
, pwqp
->dim
, pwqp
->p
[i
].set
);
1814 p
= isl_printer_print_str(p
, ") ? (");
1815 p
= print_qpolynomial_c(p
, pwqp
->dim
, pwqp
->p
[i
].qp
);
1816 p
= isl_printer_print_str(p
, ") : ");
1819 p
= isl_printer_print_str(p
, "0");
1823 __isl_give isl_printer
*isl_printer_print_pw_qpolynomial(
1824 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1829 if (p
->output_format
== ISL_FORMAT_ISL
)
1830 return print_pw_qpolynomial_isl(p
, pwqp
);
1831 else if (p
->output_format
== ISL_FORMAT_C
)
1832 return print_pw_qpolynomial_c(p
, pwqp
);
1833 isl_assert(p
->ctx
, 0, goto error
);
1835 isl_printer_free(p
);
1839 static int print_pwqp_body(__isl_take isl_pw_qpolynomial
*pwqp
, void *user
)
1841 struct isl_union_print_data
*data
;
1842 data
= (struct isl_union_print_data
*)user
;
1845 data
->p
= isl_printer_print_str(data
->p
, "; ");
1848 data
->p
= isl_pwqp_print_isl_body(data
->p
, pwqp
);
1849 isl_pw_qpolynomial_free(pwqp
);
1854 static __isl_give isl_printer
*print_union_pw_qpolynomial_isl(
1855 __isl_take isl_printer
*p
, __isl_keep isl_union_pw_qpolynomial
*upwqp
)
1857 struct isl_union_print_data data
= { p
, 1, 1 };
1859 dim
= isl_union_pw_qpolynomial_get_dim(upwqp
);
1860 if (isl_dim_size(dim
, isl_dim_param
) > 0) {
1861 p
= print_tuple(dim
, p
, isl_dim_param
, 1, 0, NULL
);
1862 p
= isl_printer_print_str(p
, " -> ");
1865 p
= isl_printer_print_str(p
, "{ ");
1866 isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp
, &print_pwqp_body
,
1869 p
= isl_printer_print_str(p
, " }");
1873 __isl_give isl_printer
*isl_printer_print_union_pw_qpolynomial(
1874 __isl_take isl_printer
*p
, __isl_keep isl_union_pw_qpolynomial
*upwqp
)
1879 if (p
->output_format
== ISL_FORMAT_ISL
)
1880 return print_union_pw_qpolynomial_isl(p
, upwqp
);
1881 isl_die(p
->ctx
, isl_error_invalid
,
1882 "invalid output format for isl_union_pw_qpolynomial",
1885 isl_printer_free(p
);
1889 static __isl_give isl_printer
*print_qpolynomial_fold_c(
1890 __isl_take isl_printer
*p
, __isl_keep isl_dim
*dim
,
1891 __isl_keep isl_qpolynomial_fold
*fold
)
1895 for (i
= 0; i
< fold
->n
- 1; ++i
)
1896 if (fold
->type
== isl_fold_min
)
1897 p
= isl_printer_print_str(p
, "min(");
1898 else if (fold
->type
== isl_fold_max
)
1899 p
= isl_printer_print_str(p
, "max(");
1901 for (i
= 0; i
< fold
->n
; ++i
) {
1903 p
= isl_printer_print_str(p
, ", ");
1904 p
= print_qpolynomial_c(p
, dim
, fold
->qp
[i
]);
1906 p
= isl_printer_print_str(p
, ")");
1911 __isl_give isl_printer
*isl_printer_print_qpolynomial_fold(
1912 __isl_take isl_printer
*p
, __isl_keep isl_qpolynomial_fold
*fold
)
1916 if (p
->output_format
== ISL_FORMAT_ISL
)
1917 return qpolynomial_fold_print(fold
, p
);
1918 else if (p
->output_format
== ISL_FORMAT_C
)
1919 return print_qpolynomial_fold_c(p
, fold
->dim
, fold
);
1920 isl_die(p
->ctx
, isl_error_unsupported
, "unsupported output format",
1923 isl_printer_free(p
);
1927 static __isl_give isl_printer
*print_pw_qpolynomial_fold_c(
1928 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1932 if (pwf
->n
== 1 && isl_set_fast_is_universe(pwf
->p
[0].set
))
1933 return print_qpolynomial_fold_c(p
, pwf
->dim
, pwf
->p
[0].fold
);
1935 for (i
= 0; i
< pwf
->n
; ++i
) {
1936 p
= isl_printer_print_str(p
, "(");
1937 p
= print_set_c(p
, pwf
->dim
, pwf
->p
[i
].set
);
1938 p
= isl_printer_print_str(p
, ") ? (");
1939 p
= print_qpolynomial_fold_c(p
, pwf
->dim
, pwf
->p
[i
].fold
);
1940 p
= isl_printer_print_str(p
, ") : ");
1943 p
= isl_printer_print_str(p
, "0");
1947 __isl_give isl_printer
*isl_printer_print_pw_qpolynomial_fold(
1948 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1953 if (p
->output_format
== ISL_FORMAT_ISL
)
1954 return print_pw_qpolynomial_fold_isl(p
, pwf
);
1955 else if (p
->output_format
== ISL_FORMAT_C
)
1956 return print_pw_qpolynomial_fold_c(p
, pwf
);
1957 isl_assert(p
->ctx
, 0, goto error
);
1959 isl_printer_free(p
);
1963 void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold
*pwf
,
1964 FILE *out
, unsigned output_format
)
1971 p
= isl_printer_to_file(pwf
->dim
->ctx
, out
);
1972 p
= isl_printer_set_output_format(p
, output_format
);
1973 p
= isl_printer_print_pw_qpolynomial_fold(p
, pwf
);
1975 isl_printer_free(p
);
1978 static int print_pwf_body(__isl_take isl_pw_qpolynomial_fold
*pwf
, void *user
)
1980 struct isl_union_print_data
*data
;
1981 data
= (struct isl_union_print_data
*)user
;
1984 data
->p
= isl_printer_print_str(data
->p
, "; ");
1987 data
->p
= isl_pwf_print_isl_body(data
->p
, pwf
);
1988 isl_pw_qpolynomial_fold_free(pwf
);
1993 static __isl_give isl_printer
*print_union_pw_qpolynomial_fold_isl(
1994 __isl_take isl_printer
*p
,
1995 __isl_keep isl_union_pw_qpolynomial_fold
*upwf
)
1997 struct isl_union_print_data data
= { p
, 1, 1 };
1999 dim
= isl_union_pw_qpolynomial_fold_get_dim(upwf
);
2000 if (isl_dim_size(dim
, isl_dim_param
) > 0) {
2001 p
= print_tuple(dim
, p
, isl_dim_param
, 1, 0, NULL
);
2002 p
= isl_printer_print_str(p
, " -> ");
2005 p
= isl_printer_print_str(p
, "{ ");
2006 isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(upwf
,
2007 &print_pwf_body
, &data
);
2009 p
= isl_printer_print_str(p
, " }");
2013 __isl_give isl_printer
*isl_printer_print_union_pw_qpolynomial_fold(
2014 __isl_take isl_printer
*p
,
2015 __isl_keep isl_union_pw_qpolynomial_fold
*upwf
)
2020 if (p
->output_format
== ISL_FORMAT_ISL
)
2021 return print_union_pw_qpolynomial_fold_isl(p
, upwf
);
2022 isl_die(p
->ctx
, isl_error_invalid
,
2023 "invalid output format for isl_union_pw_qpolynomial_fold",
2026 isl_printer_free(p
);