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
, int rational
,
412 __isl_keep isl_basic_map
*eq
)
414 if (rational
&& !latex
)
415 p
= isl_printer_print_str(p
, "rat: ");
417 p
= print_tuple(dim
, p
, isl_dim_set
, 1, latex
, eq
);
419 p
= print_tuple(dim
, p
, isl_dim_in
, 0, latex
, eq
);
420 p
= isl_printer_print_str(p
, s_to
[latex
]);
421 p
= print_tuple(dim
, p
, isl_dim_out
, 0, latex
, eq
);
427 static __isl_give isl_printer
*print_omega_parameters(__isl_keep isl_dim
*dim
,
428 __isl_take isl_printer
*p
)
430 if (isl_dim_size(dim
, isl_dim_param
) == 0)
433 p
= isl_printer_start_line(p
);
434 p
= isl_printer_print_str(p
, "symbolic ");
435 p
= print_var_list(dim
, p
, isl_dim_param
, 0, 0, NULL
);
436 p
= isl_printer_print_str(p
, ";");
437 p
= isl_printer_end_line(p
);
441 static __isl_give isl_printer
*print_constraint(struct isl_basic_map
*bmap
,
442 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
,
443 isl_int
*c
, int last
, const char *op
, int first_constraint
, int set
,
446 if (!first_constraint
)
447 p
= isl_printer_print_str(p
, s_and
[latex
]);
449 isl_int_abs(c
[last
], c
[last
]);
451 p
= print_term(dim
, NULL
, c
[last
], last
, p
, set
, latex
);
453 p
= isl_printer_print_str(p
, " ");
454 p
= isl_printer_print_str(p
, op
);
455 p
= isl_printer_print_str(p
, " ");
457 isl_int_set_si(c
[last
], 0);
458 p
= print_affine(bmap
, dim
, p
, c
, set
);
463 static __isl_give isl_printer
*print_constraints(__isl_keep isl_basic_map
*bmap
,
464 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
, int set
, int latex
)
468 unsigned total
= isl_basic_map_total_dim(bmap
);
470 c
= isl_vec_alloc(bmap
->ctx
, 1 + total
);
474 for (i
= bmap
->n_eq
- 1; i
>= 0; --i
) {
475 int l
= isl_seq_last_non_zero(bmap
->eq
[i
], 1 + total
);
476 isl_assert(bmap
->ctx
, l
>= 0, goto error
);
477 if (isl_int_is_neg(bmap
->eq
[i
][l
]))
478 isl_seq_cpy(c
->el
, bmap
->eq
[i
], 1 + total
);
480 isl_seq_neg(c
->el
, bmap
->eq
[i
], 1 + total
);
481 p
= print_constraint(bmap
, dim
, p
, c
->el
, l
,
482 "=", i
== bmap
->n_eq
- 1, set
, latex
);
484 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
485 int l
= isl_seq_last_non_zero(bmap
->ineq
[i
], 1 + total
);
490 s
= isl_int_sgn(bmap
->ineq
[i
][l
]);
492 isl_seq_cpy(c
->el
, bmap
->ineq
[i
], 1 + total
);
494 isl_seq_neg(c
->el
, bmap
->ineq
[i
], 1 + total
);
495 op
= s
< 0 ? s_le
[latex
] : s_ge
[latex
];
496 p
= print_constraint(bmap
, dim
, p
, c
->el
, l
,
497 op
, !bmap
->n_eq
&& !i
, set
, latex
);
509 static __isl_give isl_printer
*print_omega_constraints(
510 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
, int set
)
512 if (bmap
->n_eq
+ bmap
->n_ineq
== 0)
515 p
= isl_printer_print_str(p
, ": ");
516 if (bmap
->n_div
> 0) {
518 p
= isl_printer_print_str(p
, "exists (");
519 for (i
= 0; i
< bmap
->n_div
; ++i
) {
521 p
= isl_printer_print_str(p
, ", ");
522 p
= print_name(bmap
->dim
, p
, isl_dim_div
, i
, 0, 0);
524 p
= isl_printer_print_str(p
, ": ");
526 p
= print_constraints(bmap
, bmap
->dim
, p
, set
, 0);
528 p
= isl_printer_print_str(p
, ")");
532 static __isl_give isl_printer
*basic_map_print_omega(
533 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
)
535 p
= isl_printer_print_str(p
, "{ [");
536 p
= print_var_list(bmap
->dim
, p
, isl_dim_in
, 0, 0, NULL
);
537 p
= isl_printer_print_str(p
, "] -> [");
538 p
= print_var_list(bmap
->dim
, p
, isl_dim_out
, 0, 0, NULL
);
539 p
= isl_printer_print_str(p
, "] ");
540 p
= print_omega_constraints(bmap
, p
, 0);
541 p
= isl_printer_print_str(p
, " }");
545 static __isl_give isl_printer
*isl_basic_map_print_omega(
546 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
)
548 p
= print_omega_parameters(bmap
->dim
, p
);
550 p
= isl_printer_start_line(p
);
551 p
= basic_map_print_omega(bmap
, p
);
552 p
= isl_printer_end_line(p
);
556 static __isl_give isl_printer
*basic_set_print_omega(
557 __isl_keep isl_basic_set
*bset
, __isl_take isl_printer
*p
)
559 p
= isl_printer_print_str(p
, "{ [");
560 p
= print_var_list(bset
->dim
, p
, isl_dim_set
, 1, 0, NULL
);
561 p
= isl_printer_print_str(p
, "] ");
562 p
= print_omega_constraints((isl_basic_map
*)bset
, p
, 1);
563 p
= isl_printer_print_str(p
, " }");
567 static __isl_give isl_printer
*isl_basic_set_print_omega(
568 __isl_keep isl_basic_set
*bset
, __isl_take isl_printer
*p
)
570 p
= print_omega_parameters(bset
->dim
, p
);
572 p
= isl_printer_start_line(p
);
573 p
= basic_set_print_omega(bset
, p
);
574 p
= isl_printer_end_line(p
);
578 static __isl_give isl_printer
*isl_map_print_omega(__isl_keep isl_map
*map
,
579 __isl_take isl_printer
*p
)
583 p
= print_omega_parameters(map
->dim
, p
);
585 p
= isl_printer_start_line(p
);
586 for (i
= 0; i
< map
->n
; ++i
) {
588 p
= isl_printer_print_str(p
, " union ");
589 p
= basic_map_print_omega(map
->p
[i
], p
);
591 p
= isl_printer_end_line(p
);
595 static __isl_give isl_printer
*isl_set_print_omega(__isl_keep isl_set
*set
,
596 __isl_take isl_printer
*p
)
600 p
= print_omega_parameters(set
->dim
, p
);
602 p
= isl_printer_start_line(p
);
603 for (i
= 0; i
< set
->n
; ++i
) {
605 p
= isl_printer_print_str(p
, " union ");
606 p
= basic_set_print_omega(set
->p
[i
], p
);
608 p
= isl_printer_end_line(p
);
612 static __isl_give isl_printer
*print_disjunct(__isl_keep isl_basic_map
*bmap
,
613 __isl_keep isl_dim
*dim
, __isl_take isl_printer
*p
, int set
, int latex
)
615 if (bmap
->n_div
> 0) {
617 p
= isl_printer_print_str(p
, s_open_exists
[latex
]);
618 for (i
= 0; i
< bmap
->n_div
; ++i
) {
620 p
= isl_printer_print_str(p
, ", ");
621 p
= print_name(dim
, p
, isl_dim_div
, i
, 0, latex
);
622 if (latex
|| isl_int_is_zero(bmap
->div
[i
][0]))
624 p
= isl_printer_print_str(p
, " = [(");
625 p
= print_affine(bmap
, dim
, p
, bmap
->div
[i
] + 1, set
);
626 p
= isl_printer_print_str(p
, ")/");
627 p
= isl_printer_print_isl_int(p
, bmap
->div
[i
][0]);
628 p
= isl_printer_print_str(p
, "]");
630 p
= isl_printer_print_str(p
, ": ");
633 p
= print_constraints(bmap
, dim
, p
, set
, latex
);
636 p
= isl_printer_print_str(p
, s_close_exists
[latex
]);
640 static __isl_give isl_printer
*isl_basic_map_print_isl(
641 __isl_keep isl_basic_map
*bmap
, __isl_take isl_printer
*p
,
644 int rational
= ISL_F_ISSET(bmap
, ISL_BASIC_MAP_RATIONAL
);
645 if (isl_basic_map_dim(bmap
, isl_dim_param
) > 0) {
646 p
= print_tuple(bmap
->dim
, p
, isl_dim_param
, 0, latex
, NULL
);
647 p
= isl_printer_print_str(p
, " -> ");
649 p
= isl_printer_print_str(p
, "{ ");
650 p
= print_dim(bmap
->dim
, p
, set
, latex
, rational
, NULL
);
651 p
= isl_printer_print_str(p
, " : ");
652 p
= print_disjunct(bmap
, bmap
->dim
, p
, set
, latex
);
653 p
= isl_printer_print_str(p
, " }");
657 static __isl_give isl_printer
*print_disjuncts(__isl_keep isl_map
*map
,
658 __isl_take isl_printer
*p
, int set
, int latex
)
662 if (isl_map_fast_is_universe(map
))
665 p
= isl_printer_print_str(p
, s_such_that
[latex
]);
667 p
= isl_printer_print_str(p
, "1 = 0");
668 for (i
= 0; i
< map
->n
; ++i
) {
670 p
= isl_printer_print_str(p
, s_or
[latex
]);
671 if (map
->n
> 1 && map
->p
[i
]->n_eq
+ map
->p
[i
]->n_ineq
> 1)
672 p
= isl_printer_print_str(p
, "(");
673 p
= print_disjunct(map
->p
[i
], map
->dim
, p
, set
, latex
);
674 if (map
->n
> 1 && map
->p
[i
]->n_eq
+ map
->p
[i
]->n_ineq
> 1)
675 p
= isl_printer_print_str(p
, ")");
680 struct isl_aff_split
{
685 static void free_split(__isl_take
struct isl_aff_split
*split
, int n
)
692 for (i
= 0; i
< n
; ++i
) {
693 isl_basic_map_free(split
[i
].aff
);
694 isl_map_free(split
[i
].map
);
700 static __isl_give isl_basic_map
*get_aff(__isl_take isl_basic_map
*bmap
)
703 unsigned nparam
, n_in
, n_out
, total
;
705 bmap
= isl_basic_map_cow(bmap
);
708 if (isl_basic_map_free_inequality(bmap
, bmap
->n_ineq
) < 0)
711 nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
712 n_in
= isl_basic_map_dim(bmap
, isl_dim_in
);
713 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
714 total
= isl_basic_map_dim(bmap
, isl_dim_all
);
715 for (i
= bmap
->n_eq
- 1; i
>= 0; --i
) {
716 j
= isl_seq_last_non_zero(bmap
->eq
[i
] + 1, total
);
717 if (j
>= nparam
&& j
< nparam
+ n_in
+ n_out
&&
718 (isl_int_is_one(bmap
->eq
[i
][1 + j
]) ||
719 isl_int_is_negone(bmap
->eq
[i
][1 + j
])))
721 if (isl_basic_map_drop_equality(bmap
, i
) < 0)
725 bmap
= isl_basic_map_finalize(bmap
);
729 isl_basic_map_free(bmap
);
733 static int aff_split_cmp(const void *p1
, const void *p2
)
735 const struct isl_aff_split
*s1
, *s2
;
736 s1
= (const struct isl_aff_split
*) p1
;
737 s2
= (const struct isl_aff_split
*) p2
;
739 return isl_basic_map_fast_cmp(s1
->aff
, s2
->aff
);
742 static __isl_give isl_basic_map
*drop_aff(__isl_take isl_basic_map
*bmap
,
743 __isl_keep isl_basic_map
*aff
)
751 total
= isl_dim_total(bmap
->dim
);
753 for (i
= bmap
->n_eq
- 1; i
>= 0; --i
) {
754 if (isl_seq_first_non_zero(bmap
->eq
[i
] + 1 + total
,
757 for (j
= 0; j
< aff
->n_eq
; ++j
) {
758 if (!isl_seq_eq(bmap
->eq
[i
], aff
->eq
[j
], 1 + total
) &&
759 !isl_seq_is_neg(bmap
->eq
[i
], aff
->eq
[j
], 1 + total
))
761 if (isl_basic_map_drop_equality(bmap
, i
) < 0)
769 isl_basic_map_free(bmap
);
773 static __isl_give
struct isl_aff_split
*split_aff(__isl_keep isl_map
*map
)
776 struct isl_aff_split
*split
;
778 split
= isl_calloc_array(map
->isl
, struct isl_aff_split
, map
->n
);
782 for (i
= 0; i
< map
->n
; ++i
) {
784 split
[i
].aff
= get_aff(isl_basic_map_copy(map
->p
[i
]));
785 bmap
= isl_basic_map_copy(map
->p
[i
]);
786 bmap
= isl_basic_map_cow(bmap
);
787 bmap
= drop_aff(bmap
, split
[i
].aff
);
788 split
[i
].map
= isl_map_from_basic_map(bmap
);
789 if (!split
[i
].aff
|| !split
[i
].map
)
793 qsort(split
, map
->n
, sizeof(struct isl_aff_split
), &aff_split_cmp
);
796 for (i
= n
- 1; i
>= 1; --i
) {
797 if (!isl_basic_map_fast_is_equal(split
[i
- 1].aff
,
800 isl_basic_map_free(split
[i
].aff
);
801 split
[i
- 1].map
= isl_map_union(split
[i
- 1].map
,
804 split
[i
] = split
[n
- 1];
805 split
[n
- 1].aff
= NULL
;
806 split
[n
- 1].map
= NULL
;
812 free_split(split
, map
->n
);
816 static __isl_give isl_printer
*print_split_map(__isl_take isl_printer
*p
,
817 struct isl_aff_split
*split
, int n
, int set
)
822 for (i
= 0; i
< n
; ++i
) {
827 dim
= split
[i
].map
->dim
;
828 rational
= split
[i
].map
->n
> 0 &&
829 ISL_F_ISSET(split
[i
].map
->p
[0], ISL_BASIC_MAP_RATIONAL
);
831 p
= isl_printer_print_str(p
, "; ");
832 p
= print_dim(dim
, p
, set
, 0, rational
, split
[i
].aff
);
833 p
= print_disjuncts(split
[i
].map
, p
, set
, 0);
839 static __isl_give isl_printer
*isl_map_print_isl_body(__isl_keep isl_map
*map
,
840 __isl_take isl_printer
*p
, int set
)
842 struct isl_aff_split
*split
= NULL
;
846 split
= split_aff(map
);
848 p
= print_split_map(p
, split
, map
->n
, set
);
850 rational
= map
->n
> 0 &&
851 ISL_F_ISSET(map
->p
[0], ISL_BASIC_MAP_RATIONAL
);
852 p
= print_dim(map
->dim
, p
, set
, 0, rational
, NULL
);
853 p
= print_disjuncts(map
, p
, set
, 0);
855 free_split(split
, map
->n
);
859 static __isl_give isl_printer
*isl_map_print_isl(__isl_keep isl_map
*map
,
860 __isl_take isl_printer
*p
, int set
)
862 if (isl_map_dim(map
, isl_dim_param
) > 0) {
863 p
= print_tuple(map
->dim
, p
, isl_dim_param
, set
, 0, NULL
);
864 p
= isl_printer_print_str(p
, s_to
[0]);
866 p
= isl_printer_print_str(p
, s_open_set
[0]);
867 p
= isl_map_print_isl_body(map
, p
, set
);
868 p
= isl_printer_print_str(p
, s_close_set
[0]);
872 static __isl_give isl_printer
*print_latex_map(__isl_keep isl_map
*map
,
873 __isl_take isl_printer
*p
, __isl_keep isl_basic_map
*aff
, int set
)
875 if (isl_map_dim(map
, isl_dim_param
) > 0) {
876 p
= print_tuple(map
->dim
, p
, isl_dim_param
, set
, 1, NULL
);
877 p
= isl_printer_print_str(p
, s_to
[1]);
879 p
= isl_printer_print_str(p
, s_open_set
[1]);
880 p
= print_dim(map
->dim
, p
, set
, 1, 0, aff
);
881 p
= print_disjuncts(map
, p
, set
, 1);
882 p
= isl_printer_print_str(p
, s_close_set
[1]);
887 static __isl_give isl_printer
*isl_map_print_latex(__isl_keep isl_map
*map
,
888 __isl_take isl_printer
*p
, int set
)
891 struct isl_aff_split
*split
= NULL
;
894 split
= split_aff(map
);
897 return print_latex_map(map
, p
, NULL
, set
);
899 for (i
= 0; i
< map
->n
; ++i
) {
903 p
= isl_printer_print_str(p
, " \\cup ");
904 p
= print_latex_map(split
[i
].map
, p
, split
[i
].aff
, set
);
907 free_split(split
, map
->n
);
911 __isl_give isl_printer
*isl_printer_print_basic_map(__isl_take isl_printer
*p
,
912 __isl_keep isl_basic_map
*bmap
)
916 if (p
->output_format
== ISL_FORMAT_ISL
)
917 return isl_basic_map_print_isl(bmap
, p
, 0, 0);
918 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
919 return isl_basic_map_print_omega(bmap
, p
);
920 isl_assert(bmap
->ctx
, 0, goto error
);
926 void isl_basic_map_print(__isl_keep isl_basic_map
*bmap
, FILE *out
, int indent
,
927 const char *prefix
, const char *suffix
, unsigned output_format
)
929 isl_printer
*printer
;
934 printer
= isl_printer_to_file(bmap
->ctx
, out
);
935 printer
= isl_printer_set_indent(printer
, indent
);
936 printer
= isl_printer_set_prefix(printer
, prefix
);
937 printer
= isl_printer_set_suffix(printer
, suffix
);
938 printer
= isl_printer_set_output_format(printer
, output_format
);
939 isl_printer_print_basic_map(printer
, bmap
);
941 isl_printer_free(printer
);
944 __isl_give isl_printer
*isl_printer_print_basic_set(__isl_take isl_printer
*p
,
945 __isl_keep isl_basic_set
*bset
)
950 if (p
->output_format
== ISL_FORMAT_ISL
)
951 return isl_basic_map_print_isl(bset
, p
, 1, 0);
952 else if (p
->output_format
== ISL_FORMAT_POLYLIB
)
953 return isl_basic_set_print_polylib(bset
, p
, 0);
954 else if (p
->output_format
== ISL_FORMAT_EXT_POLYLIB
)
955 return isl_basic_set_print_polylib(bset
, p
, 1);
956 else if (p
->output_format
== ISL_FORMAT_POLYLIB_CONSTRAINTS
)
957 return bset_print_constraints_polylib(bset
, p
);
958 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
959 return isl_basic_set_print_omega(bset
, p
);
960 isl_assert(p
->ctx
, 0, goto error
);
966 void isl_basic_set_print(struct isl_basic_set
*bset
, FILE *out
, int indent
,
967 const char *prefix
, const char *suffix
, unsigned output_format
)
969 isl_printer
*printer
;
974 printer
= isl_printer_to_file(bset
->ctx
, out
);
975 printer
= isl_printer_set_indent(printer
, indent
);
976 printer
= isl_printer_set_prefix(printer
, prefix
);
977 printer
= isl_printer_set_suffix(printer
, suffix
);
978 printer
= isl_printer_set_output_format(printer
, output_format
);
979 isl_printer_print_basic_set(printer
, bset
);
981 isl_printer_free(printer
);
984 __isl_give isl_printer
*isl_printer_print_set(__isl_take isl_printer
*p
,
985 __isl_keep isl_set
*set
)
989 if (p
->output_format
== ISL_FORMAT_ISL
)
990 return isl_map_print_isl((isl_map
*)set
, p
, 1);
991 else if (p
->output_format
== ISL_FORMAT_POLYLIB
)
992 return isl_set_print_polylib(set
, p
, 0);
993 else if (p
->output_format
== ISL_FORMAT_EXT_POLYLIB
)
994 return isl_set_print_polylib(set
, p
, 1);
995 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
996 return isl_set_print_omega(set
, p
);
997 else if (p
->output_format
== ISL_FORMAT_LATEX
)
998 return isl_map_print_latex((isl_map
*)set
, p
, 1);
999 isl_assert(set
->ctx
, 0, goto error
);
1001 isl_printer_free(p
);
1005 void isl_set_print(struct isl_set
*set
, FILE *out
, int indent
,
1006 unsigned output_format
)
1008 isl_printer
*printer
;
1013 printer
= isl_printer_to_file(set
->ctx
, out
);
1014 printer
= isl_printer_set_indent(printer
, indent
);
1015 printer
= isl_printer_set_output_format(printer
, output_format
);
1016 printer
= isl_printer_print_set(printer
, set
);
1018 isl_printer_free(printer
);
1021 __isl_give isl_printer
*isl_printer_print_map(__isl_take isl_printer
*p
,
1022 __isl_keep isl_map
*map
)
1027 if (p
->output_format
== ISL_FORMAT_ISL
)
1028 return isl_map_print_isl(map
, p
, 0);
1029 else if (p
->output_format
== ISL_FORMAT_POLYLIB
)
1030 return isl_map_print_polylib(map
, p
, 0);
1031 else if (p
->output_format
== ISL_FORMAT_EXT_POLYLIB
)
1032 return isl_map_print_polylib(map
, p
, 1);
1033 else if (p
->output_format
== ISL_FORMAT_OMEGA
)
1034 return isl_map_print_omega(map
, p
);
1035 else if (p
->output_format
== ISL_FORMAT_LATEX
)
1036 return isl_map_print_latex(map
, p
, 0);
1037 isl_assert(map
->ctx
, 0, goto error
);
1039 isl_printer_free(p
);
1043 struct isl_union_print_data
{
1049 static int print_map_body(__isl_take isl_map
*map
, void *user
)
1051 struct isl_union_print_data
*data
;
1052 data
= (struct isl_union_print_data
*)user
;
1055 data
->p
= isl_printer_print_str(data
->p
, "; ");
1058 data
->p
= isl_map_print_isl_body(map
, data
->p
, data
->set
);
1064 static __isl_give isl_printer
*isl_union_map_print_isl(
1065 __isl_keep isl_union_map
*umap
, __isl_take isl_printer
*p
, int set
)
1067 struct isl_union_print_data data
= { p
, set
, 1 };
1069 dim
= isl_union_map_get_dim(umap
);
1070 if (isl_dim_size(dim
, isl_dim_param
) > 0) {
1071 p
= print_tuple(dim
, p
, isl_dim_param
, set
, 0, NULL
);
1072 p
= isl_printer_print_str(p
, s_to
[0]);
1075 p
= isl_printer_print_str(p
, s_open_set
[0]);
1076 isl_union_map_foreach_map(umap
, &print_map_body
, &data
);
1078 p
= isl_printer_print_str(p
, s_close_set
[0]);
1082 static int print_latex_map_body(__isl_take isl_map
*map
, void *user
)
1084 struct isl_union_print_data
*data
;
1085 data
= (struct isl_union_print_data
*)user
;
1088 data
->p
= isl_printer_print_str(data
->p
, " \\cup ");
1091 data
->p
= isl_map_print_latex(map
, data
->p
, data
->set
);
1097 static __isl_give isl_printer
*isl_union_map_print_latex(
1098 __isl_keep isl_union_map
*umap
, __isl_take isl_printer
*p
, int set
)
1100 struct isl_union_print_data data
= { p
, set
, 1 };
1101 isl_union_map_foreach_map(umap
, &print_latex_map_body
, &data
);
1106 __isl_give isl_printer
*isl_printer_print_union_map(__isl_take isl_printer
*p
,
1107 __isl_keep isl_union_map
*umap
)
1112 if (p
->output_format
== ISL_FORMAT_ISL
)
1113 return isl_union_map_print_isl(umap
, p
, 0);
1114 if (p
->output_format
== ISL_FORMAT_LATEX
)
1115 return isl_union_map_print_latex(umap
, p
, 0);
1117 isl_die(p
->ctx
, isl_error_invalid
,
1118 "invalid output format for isl_union_map", goto error
);
1120 isl_printer_free(p
);
1124 __isl_give isl_printer
*isl_printer_print_union_set(__isl_take isl_printer
*p
,
1125 __isl_keep isl_union_set
*uset
)
1130 if (p
->output_format
== ISL_FORMAT_ISL
)
1131 return isl_union_map_print_isl((isl_union_map
*)uset
, p
, 1);
1132 if (p
->output_format
== ISL_FORMAT_LATEX
)
1133 return isl_union_map_print_latex((isl_union_map
*)uset
, p
, 1);
1135 isl_die(p
->ctx
, isl_error_invalid
,
1136 "invalid output format for isl_union_set", goto error
);
1138 isl_printer_free(p
);
1142 void isl_map_print(__isl_keep isl_map
*map
, FILE *out
, int indent
,
1143 unsigned output_format
)
1145 isl_printer
*printer
;
1150 printer
= isl_printer_to_file(map
->ctx
, out
);
1151 printer
= isl_printer_set_indent(printer
, indent
);
1152 printer
= isl_printer_set_output_format(printer
, output_format
);
1153 printer
= isl_printer_print_map(printer
, map
);
1155 isl_printer_free(printer
);
1158 void isl_basic_map_dump(__isl_keep isl_basic_map
*bmap
)
1160 isl_printer
*printer
;
1165 printer
= isl_printer_to_file(isl_basic_map_get_ctx(bmap
), stderr
);
1166 printer
= isl_printer_print_basic_map(printer
, bmap
);
1167 printer
= isl_printer_end_line(printer
);
1169 isl_printer_free(printer
);
1172 void isl_basic_set_dump(__isl_keep isl_basic_set
*bset
)
1174 isl_printer
*printer
;
1179 printer
= isl_printer_to_file(isl_basic_set_get_ctx(bset
), stderr
);
1180 printer
= isl_printer_print_basic_set(printer
, bset
);
1181 printer
= isl_printer_end_line(printer
);
1183 isl_printer_free(printer
);
1186 void isl_map_dump(__isl_keep isl_map
*map
)
1188 isl_printer
*printer
;
1193 printer
= isl_printer_to_file(isl_map_get_ctx(map
), stderr
);
1194 printer
= isl_printer_print_map(printer
, map
);
1195 printer
= isl_printer_end_line(printer
);
1197 isl_printer_free(printer
);
1200 void isl_set_dump(__isl_keep isl_set
*set
)
1202 isl_printer
*printer
;
1207 printer
= isl_printer_to_file(isl_set_get_ctx(set
), stderr
);
1208 printer
= isl_printer_print_set(printer
, set
);
1209 printer
= isl_printer_end_line(printer
);
1211 isl_printer_free(printer
);
1214 void isl_union_map_dump(__isl_keep isl_union_map
*umap
)
1216 isl_printer
*printer
;
1221 printer
= isl_printer_to_file(isl_union_map_get_ctx(umap
), stderr
);
1222 printer
= isl_printer_print_union_map(printer
, umap
);
1223 printer
= isl_printer_end_line(printer
);
1225 isl_printer_free(printer
);
1228 void isl_union_set_dump(__isl_keep isl_union_set
*uset
)
1230 isl_printer
*printer
;
1235 printer
= isl_printer_to_file(isl_union_set_get_ctx(uset
), stderr
);
1236 printer
= isl_printer_print_union_set(printer
, uset
);
1237 printer
= isl_printer_end_line(printer
);
1239 isl_printer_free(printer
);
1242 void isl_union_pw_qpolynomial_dump(__isl_keep isl_union_pw_qpolynomial
*upwqp
)
1244 isl_printer
*printer
;
1249 printer
= isl_printer_to_file(isl_union_pw_qpolynomial_get_ctx(upwqp
),
1251 printer
= isl_printer_print_union_pw_qpolynomial(printer
, upwqp
);
1252 printer
= isl_printer_end_line(printer
);
1254 isl_printer_free(printer
);
1257 void isl_qpolynomial_dump(__isl_keep isl_qpolynomial
*qp
)
1259 isl_printer
*printer
;
1264 printer
= isl_printer_to_file(isl_qpolynomial_get_ctx(qp
), stderr
);
1265 printer
= isl_printer_print_qpolynomial(printer
, qp
);
1266 printer
= isl_printer_end_line(printer
);
1268 isl_printer_free(printer
);
1271 void isl_qpolynomial_fold_dump(__isl_keep isl_qpolynomial_fold
*fold
)
1273 isl_printer
*printer
;
1278 printer
= isl_printer_to_file(isl_qpolynomial_fold_get_ctx(fold
),
1280 printer
= isl_printer_print_qpolynomial_fold(printer
, fold
);
1281 printer
= isl_printer_end_line(printer
);
1283 isl_printer_free(printer
);
1286 void isl_pw_qpolynomial_dump(__isl_keep isl_pw_qpolynomial
*pwqp
)
1288 isl_printer
*printer
;
1293 printer
= isl_printer_to_file(isl_pw_qpolynomial_get_ctx(pwqp
), stderr
);
1294 printer
= isl_printer_print_pw_qpolynomial(printer
, pwqp
);
1295 printer
= isl_printer_end_line(printer
);
1297 isl_printer_free(printer
);
1300 void isl_pw_qpolynomial_fold_dump(__isl_keep isl_pw_qpolynomial_fold
*pwf
)
1302 isl_printer
*printer
;
1307 printer
= isl_printer_to_file(
1308 isl_pw_qpolynomial_fold_get_ctx(pwf
), stderr
);
1309 printer
= isl_printer_print_pw_qpolynomial_fold(printer
, pwf
);
1310 printer
= isl_printer_end_line(printer
);
1312 isl_printer_free(printer
);
1315 void isl_union_pw_qpolynomial_fold_dump(
1316 __isl_keep isl_union_pw_qpolynomial_fold
*upwf
)
1318 isl_printer
*printer
;
1323 printer
= isl_printer_to_file(
1324 isl_union_pw_qpolynomial_fold_get_ctx(upwf
), stderr
);
1325 printer
= isl_printer_print_union_pw_qpolynomial_fold(printer
, upwf
);
1326 printer
= isl_printer_end_line(printer
);
1328 isl_printer_free(printer
);
1331 static int upoly_rec_n_non_zero(__isl_keep
struct isl_upoly_rec
*rec
)
1336 for (i
= 0, n
= 0; i
< rec
->n
; ++i
)
1337 if (!isl_upoly_is_zero(rec
->p
[i
]))
1343 static __isl_give isl_printer
*print_div(__isl_keep isl_dim
*dim
,
1344 __isl_keep isl_mat
*div
, int pos
, __isl_take isl_printer
*p
)
1346 int c
= p
->output_format
== ISL_FORMAT_C
;
1347 p
= isl_printer_print_str(p
, c
? "floord(" : "[(");
1348 p
= print_affine_of_len(dim
, div
, p
,
1349 div
->row
[pos
] + 1, div
->n_col
- 1, 1);
1350 p
= isl_printer_print_str(p
, c
? ", " : ")/");
1351 p
= isl_printer_print_isl_int(p
, div
->row
[pos
][0]);
1352 p
= isl_printer_print_str(p
, c
? ")" : "]");
1356 static __isl_give isl_printer
*upoly_print_cst(__isl_keep
struct isl_upoly
*up
,
1357 __isl_take isl_printer
*p
, int first
)
1359 struct isl_upoly_cst
*cst
;
1362 cst
= isl_upoly_as_cst(up
);
1365 neg
= !first
&& isl_int_is_neg(cst
->n
);
1367 p
= isl_printer_print_str(p
, neg
? " - " : " + ");
1369 isl_int_neg(cst
->n
, cst
->n
);
1370 if (isl_int_is_zero(cst
->d
)) {
1371 int sgn
= isl_int_sgn(cst
->n
);
1372 p
= isl_printer_print_str(p
, sgn
< 0 ? "-infty" :
1373 sgn
== 0 ? "NaN" : "infty");
1375 p
= isl_printer_print_isl_int(p
, cst
->n
);
1377 isl_int_neg(cst
->n
, cst
->n
);
1378 if (!isl_int_is_zero(cst
->d
) && !isl_int_is_one(cst
->d
)) {
1379 p
= isl_printer_print_str(p
, "/");
1380 p
= isl_printer_print_isl_int(p
, cst
->d
);
1384 isl_printer_free(p
);
1388 static __isl_give isl_printer
*print_base(__isl_take isl_printer
*p
,
1389 __isl_keep isl_dim
*dim
, __isl_keep isl_mat
*div
, int var
)
1393 total
= isl_dim_total(dim
);
1395 p
= print_term(dim
, NULL
, dim
->ctx
->one
, 1 + var
, p
, 1, 0);
1397 p
= print_div(dim
, div
, var
- total
, p
);
1401 static __isl_give isl_printer
*print_pow(__isl_take isl_printer
*p
,
1402 __isl_keep isl_dim
*dim
, __isl_keep isl_mat
*div
, int var
, int exp
)
1404 p
= print_base(p
, dim
, div
, var
);
1407 if (p
->output_format
== ISL_FORMAT_C
) {
1409 for (i
= 1; i
< exp
; ++i
) {
1410 p
= isl_printer_print_str(p
, "*");
1411 p
= print_base(p
, dim
, div
, var
);
1414 p
= isl_printer_print_str(p
, "^");
1415 p
= isl_printer_print_int(p
, exp
);
1420 static __isl_give isl_printer
*upoly_print(__isl_keep
struct isl_upoly
*up
,
1421 __isl_keep isl_dim
*dim
, __isl_keep isl_mat
*div
,
1422 __isl_take isl_printer
*p
, int outer
)
1424 int i
, n
, first
, print_parens
;
1425 struct isl_upoly_rec
*rec
;
1427 if (!p
|| !up
|| !dim
|| !div
)
1430 if (isl_upoly_is_cst(up
))
1431 return upoly_print_cst(up
, p
, 1);
1433 rec
= isl_upoly_as_rec(up
);
1436 n
= upoly_rec_n_non_zero(rec
);
1437 print_parens
= n
> 1 || (outer
&& rec
->up
.var
>= isl_dim_total(dim
));
1439 p
= isl_printer_print_str(p
, "(");
1440 for (i
= 0, first
= 1; i
< rec
->n
; ++i
) {
1441 if (isl_upoly_is_zero(rec
->p
[i
]))
1443 if (isl_upoly_is_negone(rec
->p
[i
])) {
1445 p
= isl_printer_print_str(p
, "-1");
1447 p
= isl_printer_print_str(p
, "-");
1449 p
= isl_printer_print_str(p
, " - ");
1450 } else if (isl_upoly_is_cst(rec
->p
[i
]) &&
1451 !isl_upoly_is_one(rec
->p
[i
]))
1452 p
= upoly_print_cst(rec
->p
[i
], p
, first
);
1455 p
= isl_printer_print_str(p
, " + ");
1456 if (i
== 0 || !isl_upoly_is_one(rec
->p
[i
]))
1457 p
= upoly_print(rec
->p
[i
], dim
, div
, p
, 0);
1462 if (!isl_upoly_is_one(rec
->p
[i
]) &&
1463 !isl_upoly_is_negone(rec
->p
[i
]))
1464 p
= isl_printer_print_str(p
, " * ");
1465 p
= print_pow(p
, dim
, div
, rec
->up
.var
, i
);
1468 p
= isl_printer_print_str(p
, ")");
1471 isl_printer_free(p
);
1475 __isl_give isl_printer
*isl_printer_print_qpolynomial(__isl_take isl_printer
*p
,
1476 __isl_keep isl_qpolynomial
*qp
)
1480 p
= upoly_print(qp
->upoly
, qp
->dim
, qp
->div
, p
, 1);
1483 isl_printer_free(p
);
1487 void isl_qpolynomial_print(__isl_keep isl_qpolynomial
*qp
, FILE *out
,
1488 unsigned output_format
)
1495 isl_assert(qp
->dim
->ctx
, output_format
== ISL_FORMAT_ISL
, return);
1496 p
= isl_printer_to_file(qp
->dim
->ctx
, out
);
1497 p
= isl_printer_print_qpolynomial(p
, qp
);
1498 isl_printer_free(p
);
1501 static __isl_give isl_printer
*qpolynomial_fold_print(
1502 __isl_keep isl_qpolynomial_fold
*fold
, __isl_take isl_printer
*p
)
1506 if (fold
->type
== isl_fold_min
)
1507 p
= isl_printer_print_str(p
, "min");
1508 else if (fold
->type
== isl_fold_max
)
1509 p
= isl_printer_print_str(p
, "max");
1510 p
= isl_printer_print_str(p
, "(");
1511 for (i
= 0; i
< fold
->n
; ++i
) {
1513 p
= isl_printer_print_str(p
, ", ");
1514 p
= isl_printer_print_qpolynomial(p
, fold
->qp
[i
]);
1516 p
= isl_printer_print_str(p
, ")");
1520 void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold
*fold
,
1521 FILE *out
, unsigned output_format
)
1528 isl_assert(fold
->dim
->ctx
, output_format
== ISL_FORMAT_ISL
, return);
1530 p
= isl_printer_to_file(fold
->dim
->ctx
, out
);
1531 p
= isl_printer_print_qpolynomial_fold(p
, fold
);
1533 isl_printer_free(p
);
1536 static __isl_give isl_printer
*isl_pwqp_print_isl_body(
1537 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1541 for (i
= 0; i
< pwqp
->n
; ++i
) {
1543 p
= isl_printer_print_str(p
, "; ");
1544 if (isl_dim_size(pwqp
->dim
, isl_dim_set
) > 0 ||
1545 isl_dim_is_named_or_nested(pwqp
->dim
, isl_dim_set
)) {
1546 p
= print_dim(pwqp
->p
[i
].set
->dim
, p
, 1, 0, 0, NULL
);
1547 p
= isl_printer_print_str(p
, " -> ");
1549 p
= isl_printer_print_qpolynomial(p
, pwqp
->p
[i
].qp
);
1550 p
= print_disjuncts((isl_map
*)pwqp
->p
[i
].set
, p
, 1, 0);
1556 static __isl_give isl_printer
*print_pw_qpolynomial_isl(
1557 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1562 if (isl_dim_size(pwqp
->dim
, isl_dim_param
) > 0) {
1563 p
= print_tuple(pwqp
->dim
, p
, isl_dim_param
, 0, 0, NULL
);
1564 p
= isl_printer_print_str(p
, " -> ");
1566 p
= isl_printer_print_str(p
, "{ ");
1568 if (isl_dim_size(pwqp
->dim
, isl_dim_set
) > 0 ||
1569 isl_dim_is_named_or_nested(pwqp
->dim
, isl_dim_set
)) {
1570 p
= print_dim(pwqp
->dim
, p
, 1, 0, 0, NULL
);
1571 p
= isl_printer_print_str(p
, " -> ");
1573 p
= isl_printer_print_str(p
, "0");
1575 p
= isl_pwqp_print_isl_body(p
, pwqp
);
1576 p
= isl_printer_print_str(p
, " }");
1579 isl_printer_free(p
);
1583 void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial
*pwqp
, FILE *out
,
1584 unsigned output_format
)
1591 p
= isl_printer_to_file(pwqp
->dim
->ctx
, out
);
1592 p
= isl_printer_set_output_format(p
, output_format
);
1593 p
= isl_printer_print_pw_qpolynomial(p
, pwqp
);
1595 isl_printer_free(p
);
1598 static __isl_give isl_printer
*isl_pwf_print_isl_body(
1599 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1603 for (i
= 0; i
< pwf
->n
; ++i
) {
1605 p
= isl_printer_print_str(p
, "; ");
1606 if (isl_dim_size(pwf
->dim
, isl_dim_set
) > 0 ||
1607 isl_dim_is_named_or_nested(pwf
->dim
, isl_dim_set
)) {
1608 p
= print_dim(pwf
->p
[i
].set
->dim
, p
, 1, 0, 0, NULL
);
1609 p
= isl_printer_print_str(p
, " -> ");
1611 p
= qpolynomial_fold_print(pwf
->p
[i
].fold
, p
);
1612 p
= print_disjuncts((isl_map
*)pwf
->p
[i
].set
, p
, 1, 0);
1618 static __isl_give isl_printer
*print_pw_qpolynomial_fold_isl(
1619 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1621 if (isl_dim_size(pwf
->dim
, isl_dim_param
) > 0) {
1622 p
= print_tuple(pwf
->dim
, p
, isl_dim_param
, 0, 0, NULL
);
1623 p
= isl_printer_print_str(p
, " -> ");
1625 p
= isl_printer_print_str(p
, "{ ");
1627 if (isl_dim_size(pwf
->dim
, isl_dim_set
) > 0 ||
1628 isl_dim_is_named_or_nested(pwf
->dim
, isl_dim_set
)) {
1629 p
= print_dim(pwf
->dim
, p
, 1, 0, 0, NULL
);
1630 p
= isl_printer_print_str(p
, " -> ");
1632 p
= isl_printer_print_str(p
, "0");
1634 p
= isl_pwf_print_isl_body(p
, pwf
);
1635 p
= isl_printer_print_str(p
, " }");
1639 static __isl_give isl_printer
*print_affine_c(__isl_take isl_printer
*p
,
1640 __isl_keep isl_dim
*dim
, __isl_keep isl_basic_set
*bset
, isl_int
*c
);
1642 static __isl_give isl_printer
*print_name_c(__isl_take isl_printer
*p
,
1643 __isl_keep isl_dim
*dim
,
1644 __isl_keep isl_basic_set
*bset
, enum isl_dim_type type
, unsigned pos
)
1646 if (type
== isl_dim_div
) {
1647 p
= isl_printer_print_str(p
, "floord(");
1648 p
= print_affine_c(p
, dim
, bset
, bset
->div
[pos
] + 1);
1649 p
= isl_printer_print_str(p
, ", ");
1650 p
= isl_printer_print_isl_int(p
, bset
->div
[pos
][0]);
1651 p
= isl_printer_print_str(p
, ")");
1655 name
= isl_dim_get_name(dim
, type
, pos
);
1658 p
= isl_printer_print_str(p
, name
);
1663 static __isl_give isl_printer
*print_term_c(__isl_take isl_printer
*p
,
1664 __isl_keep isl_dim
*dim
,
1665 __isl_keep isl_basic_set
*bset
, isl_int c
, unsigned pos
)
1667 enum isl_dim_type type
;
1668 unsigned nparam
= isl_basic_set_dim(bset
, isl_dim_param
);
1671 return isl_printer_print_isl_int(p
, c
);
1673 if (isl_int_is_one(c
))
1675 else if (isl_int_is_negone(c
))
1676 p
= isl_printer_print_str(p
, "-");
1678 p
= isl_printer_print_isl_int(p
, c
);
1679 p
= isl_printer_print_str(p
, "*");
1681 type
= pos2type(dim
, &pos
);
1682 p
= print_name_c(p
, dim
, bset
, type
, pos
);
1686 static __isl_give isl_printer
*print_partial_affine_c(__isl_take isl_printer
*p
,
1687 __isl_keep isl_dim
*dim
,
1688 __isl_keep isl_basic_set
*bset
, isl_int
*c
, unsigned len
)
1693 for (i
= 0, first
= 1; i
< len
; ++i
) {
1695 if (isl_int_is_zero(c
[i
]))
1698 if (isl_int_is_neg(c
[i
])) {
1700 isl_int_neg(c
[i
], c
[i
]);
1701 p
= isl_printer_print_str(p
, " - ");
1703 p
= isl_printer_print_str(p
, " + ");
1706 p
= print_term_c(p
, dim
, bset
, c
[i
], i
);
1708 isl_int_neg(c
[i
], c
[i
]);
1711 p
= isl_printer_print_str(p
, "0");
1715 static __isl_give isl_printer
*print_affine_c(__isl_take isl_printer
*p
,
1716 __isl_keep isl_dim
*dim
, __isl_keep isl_basic_set
*bset
, isl_int
*c
)
1718 unsigned len
= 1 + isl_basic_set_total_dim(bset
);
1719 return print_partial_affine_c(p
, dim
, bset
, c
, len
);
1722 static __isl_give isl_printer
*print_constraint_c(__isl_take isl_printer
*p
,
1723 __isl_keep isl_dim
*dim
,
1724 __isl_keep isl_basic_set
*bset
, isl_int
*c
, const char *op
, int first
)
1727 p
= isl_printer_print_str(p
, " && ");
1729 p
= print_affine_c(p
, dim
, bset
, c
);
1730 p
= isl_printer_print_str(p
, " ");
1731 p
= isl_printer_print_str(p
, op
);
1732 p
= isl_printer_print_str(p
, " 0");
1736 static __isl_give isl_printer
*print_basic_set_c(__isl_take isl_printer
*p
,
1737 __isl_keep isl_dim
*dim
, __isl_keep isl_basic_set
*bset
)
1740 unsigned n_div
= isl_basic_set_dim(bset
, isl_dim_div
);
1741 unsigned total
= isl_basic_set_total_dim(bset
) - n_div
;
1743 for (i
= 0; i
< bset
->n_eq
; ++i
) {
1744 j
= isl_seq_last_non_zero(bset
->eq
[i
] + 1 + total
, n_div
);
1746 p
= print_constraint_c(p
, dim
, bset
,
1747 bset
->eq
[i
], "==", !i
);
1750 p
= isl_printer_print_str(p
, " && ");
1751 p
= isl_printer_print_str(p
, "(");
1752 p
= print_partial_affine_c(p
, dim
, bset
, bset
->eq
[i
],
1754 p
= isl_printer_print_str(p
, ") % ");
1755 p
= isl_printer_print_isl_int(p
,
1756 bset
->eq
[i
][1 + total
+ j
]);
1757 p
= isl_printer_print_str(p
, " == 0");
1760 for (i
= 0; i
< bset
->n_ineq
; ++i
)
1761 p
= print_constraint_c(p
, dim
, bset
, bset
->ineq
[i
], ">=",
1766 static __isl_give isl_printer
*print_set_c(__isl_take isl_printer
*p
,
1767 __isl_keep isl_dim
*dim
, __isl_keep isl_set
*set
)
1772 p
= isl_printer_print_str(p
, "0");
1774 for (i
= 0; i
< set
->n
; ++i
) {
1776 p
= isl_printer_print_str(p
, " || ");
1778 p
= isl_printer_print_str(p
, "(");
1779 p
= print_basic_set_c(p
, dim
, set
->p
[i
]);
1781 p
= isl_printer_print_str(p
, ")");
1786 static __isl_give isl_printer
*print_qpolynomial_c(__isl_take isl_printer
*p
,
1787 __isl_keep isl_dim
*dim
, __isl_keep isl_qpolynomial
*qp
)
1792 isl_qpolynomial_get_den(qp
, &den
);
1793 if (!isl_int_is_one(den
)) {
1795 p
= isl_printer_print_str(p
, "(");
1796 qp
= isl_qpolynomial_copy(qp
);
1797 f
= isl_qpolynomial_rat_cst(isl_dim_copy(qp
->dim
),
1798 den
, qp
->dim
->ctx
->one
);
1799 qp
= isl_qpolynomial_mul(qp
, f
);
1802 p
= upoly_print(qp
->upoly
, dim
, qp
->div
, p
, 0);
1803 if (!isl_int_is_one(den
)) {
1804 p
= isl_printer_print_str(p
, ")/");
1805 p
= isl_printer_print_isl_int(p
, den
);
1806 isl_qpolynomial_free(qp
);
1812 static __isl_give isl_printer
*print_pw_qpolynomial_c(
1813 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1817 if (pwqp
->n
== 1 && isl_set_fast_is_universe(pwqp
->p
[0].set
))
1818 return print_qpolynomial_c(p
, pwqp
->dim
, pwqp
->p
[0].qp
);
1820 for (i
= 0; i
< pwqp
->n
; ++i
) {
1821 p
= isl_printer_print_str(p
, "(");
1822 p
= print_set_c(p
, pwqp
->dim
, pwqp
->p
[i
].set
);
1823 p
= isl_printer_print_str(p
, ") ? (");
1824 p
= print_qpolynomial_c(p
, pwqp
->dim
, pwqp
->p
[i
].qp
);
1825 p
= isl_printer_print_str(p
, ") : ");
1828 p
= isl_printer_print_str(p
, "0");
1832 __isl_give isl_printer
*isl_printer_print_pw_qpolynomial(
1833 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial
*pwqp
)
1838 if (p
->output_format
== ISL_FORMAT_ISL
)
1839 return print_pw_qpolynomial_isl(p
, pwqp
);
1840 else if (p
->output_format
== ISL_FORMAT_C
)
1841 return print_pw_qpolynomial_c(p
, pwqp
);
1842 isl_assert(p
->ctx
, 0, goto error
);
1844 isl_printer_free(p
);
1848 static int print_pwqp_body(__isl_take isl_pw_qpolynomial
*pwqp
, void *user
)
1850 struct isl_union_print_data
*data
;
1851 data
= (struct isl_union_print_data
*)user
;
1854 data
->p
= isl_printer_print_str(data
->p
, "; ");
1857 data
->p
= isl_pwqp_print_isl_body(data
->p
, pwqp
);
1858 isl_pw_qpolynomial_free(pwqp
);
1863 static __isl_give isl_printer
*print_union_pw_qpolynomial_isl(
1864 __isl_take isl_printer
*p
, __isl_keep isl_union_pw_qpolynomial
*upwqp
)
1866 struct isl_union_print_data data
= { p
, 1, 1 };
1868 dim
= isl_union_pw_qpolynomial_get_dim(upwqp
);
1869 if (isl_dim_size(dim
, isl_dim_param
) > 0) {
1870 p
= print_tuple(dim
, p
, isl_dim_param
, 1, 0, NULL
);
1871 p
= isl_printer_print_str(p
, " -> ");
1874 p
= isl_printer_print_str(p
, "{ ");
1875 isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp
, &print_pwqp_body
,
1878 p
= isl_printer_print_str(p
, " }");
1882 __isl_give isl_printer
*isl_printer_print_union_pw_qpolynomial(
1883 __isl_take isl_printer
*p
, __isl_keep isl_union_pw_qpolynomial
*upwqp
)
1888 if (p
->output_format
== ISL_FORMAT_ISL
)
1889 return print_union_pw_qpolynomial_isl(p
, upwqp
);
1890 isl_die(p
->ctx
, isl_error_invalid
,
1891 "invalid output format for isl_union_pw_qpolynomial",
1894 isl_printer_free(p
);
1898 static __isl_give isl_printer
*print_qpolynomial_fold_c(
1899 __isl_take isl_printer
*p
, __isl_keep isl_dim
*dim
,
1900 __isl_keep isl_qpolynomial_fold
*fold
)
1904 for (i
= 0; i
< fold
->n
- 1; ++i
)
1905 if (fold
->type
== isl_fold_min
)
1906 p
= isl_printer_print_str(p
, "min(");
1907 else if (fold
->type
== isl_fold_max
)
1908 p
= isl_printer_print_str(p
, "max(");
1910 for (i
= 0; i
< fold
->n
; ++i
) {
1912 p
= isl_printer_print_str(p
, ", ");
1913 p
= print_qpolynomial_c(p
, dim
, fold
->qp
[i
]);
1915 p
= isl_printer_print_str(p
, ")");
1920 __isl_give isl_printer
*isl_printer_print_qpolynomial_fold(
1921 __isl_take isl_printer
*p
, __isl_keep isl_qpolynomial_fold
*fold
)
1925 if (p
->output_format
== ISL_FORMAT_ISL
)
1926 return qpolynomial_fold_print(fold
, p
);
1927 else if (p
->output_format
== ISL_FORMAT_C
)
1928 return print_qpolynomial_fold_c(p
, fold
->dim
, fold
);
1929 isl_die(p
->ctx
, isl_error_unsupported
, "unsupported output format",
1932 isl_printer_free(p
);
1936 static __isl_give isl_printer
*print_pw_qpolynomial_fold_c(
1937 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1941 if (pwf
->n
== 1 && isl_set_fast_is_universe(pwf
->p
[0].set
))
1942 return print_qpolynomial_fold_c(p
, pwf
->dim
, pwf
->p
[0].fold
);
1944 for (i
= 0; i
< pwf
->n
; ++i
) {
1945 p
= isl_printer_print_str(p
, "(");
1946 p
= print_set_c(p
, pwf
->dim
, pwf
->p
[i
].set
);
1947 p
= isl_printer_print_str(p
, ") ? (");
1948 p
= print_qpolynomial_fold_c(p
, pwf
->dim
, pwf
->p
[i
].fold
);
1949 p
= isl_printer_print_str(p
, ") : ");
1952 p
= isl_printer_print_str(p
, "0");
1956 __isl_give isl_printer
*isl_printer_print_pw_qpolynomial_fold(
1957 __isl_take isl_printer
*p
, __isl_keep isl_pw_qpolynomial_fold
*pwf
)
1962 if (p
->output_format
== ISL_FORMAT_ISL
)
1963 return print_pw_qpolynomial_fold_isl(p
, pwf
);
1964 else if (p
->output_format
== ISL_FORMAT_C
)
1965 return print_pw_qpolynomial_fold_c(p
, pwf
);
1966 isl_assert(p
->ctx
, 0, goto error
);
1968 isl_printer_free(p
);
1972 void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold
*pwf
,
1973 FILE *out
, unsigned output_format
)
1980 p
= isl_printer_to_file(pwf
->dim
->ctx
, out
);
1981 p
= isl_printer_set_output_format(p
, output_format
);
1982 p
= isl_printer_print_pw_qpolynomial_fold(p
, pwf
);
1984 isl_printer_free(p
);
1987 static int print_pwf_body(__isl_take isl_pw_qpolynomial_fold
*pwf
, void *user
)
1989 struct isl_union_print_data
*data
;
1990 data
= (struct isl_union_print_data
*)user
;
1993 data
->p
= isl_printer_print_str(data
->p
, "; ");
1996 data
->p
= isl_pwf_print_isl_body(data
->p
, pwf
);
1997 isl_pw_qpolynomial_fold_free(pwf
);
2002 static __isl_give isl_printer
*print_union_pw_qpolynomial_fold_isl(
2003 __isl_take isl_printer
*p
,
2004 __isl_keep isl_union_pw_qpolynomial_fold
*upwf
)
2006 struct isl_union_print_data data
= { p
, 1, 1 };
2008 dim
= isl_union_pw_qpolynomial_fold_get_dim(upwf
);
2009 if (isl_dim_size(dim
, isl_dim_param
) > 0) {
2010 p
= print_tuple(dim
, p
, isl_dim_param
, 1, 0, NULL
);
2011 p
= isl_printer_print_str(p
, " -> ");
2014 p
= isl_printer_print_str(p
, "{ ");
2015 isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(upwf
,
2016 &print_pwf_body
, &data
);
2018 p
= isl_printer_print_str(p
, " }");
2022 __isl_give isl_printer
*isl_printer_print_union_pw_qpolynomial_fold(
2023 __isl_take isl_printer
*p
,
2024 __isl_keep isl_union_pw_qpolynomial_fold
*upwf
)
2029 if (p
->output_format
== ISL_FORMAT_ISL
)
2030 return print_union_pw_qpolynomial_fold_isl(p
, upwf
);
2031 isl_die(p
->ctx
, isl_error_invalid
,
2032 "invalid output format for isl_union_pw_qpolynomial_fold",
2035 isl_printer_free(p
);