1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
|
/* mpfr_tli2 -- test file for dilogarithm function
Copyright 2007, 2008 Free Software Foundation, Inc.
Contributed by the Arenaire and Cacao projects, INRIA.
The MPFR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 2.1 of the License, or (at your
option) any later version.
The MPFR Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the MPFR Library; see the file COPYING.LIB. If not, write to
the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
MA 02110-1301, USA. */
#include <stdio.h>
#include <stdlib.h>
#include "mpfr-test.h"
#if MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0)
#define TEST_FUNCTION mpfr_li2
#include "tgeneric.c"
static void
special (void)
{
mpfr_t x, y;
mpfr_init (x);
mpfr_init (y);
mpfr_set_nan (x);
mpfr_li2 (y, x, GMP_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for li2(NaN)\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_li2 (y, x, GMP_RNDN);
if (!MPFR_IS_INF (y) || MPFR_IS_POS (y))
{
printf ("Error for li2(-Inf)\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_li2 (y, x, GMP_RNDN);
if (!MPFR_IS_INF (y) || MPFR_IS_POS (y))
{
printf ("Error for li2(+Inf)\n");
exit (1);
}
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_li2 (y, x, GMP_RNDN);
if (!MPFR_IS_ZERO (y) || MPFR_IS_NEG (y))
{
printf ("Error for li2(+0)\n");
exit (1);
}
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_neg (x, x, GMP_RNDN);
mpfr_li2 (y, x, GMP_RNDN);
if (!MPFR_IS_ZERO (y) || MPFR_IS_POS (y))
{
printf ("Error for li2(-0)\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
normal (void)
{
int inexact;
mpfr_t x, y;
mpfr_init (x);
mpfr_init (y);
/* x1 = 2^-3 */
mpfr_set_str (x, "1p-3", 2, GMP_RNDD);
mpfr_li2 (x, x, GMP_RNDN);
if (mpfr_cmp_str (x, "0x1087a7a9e42141p-55", 16, GMP_RNDN) != 0)
{
printf ("Error for li2(x1)\n");
exit (1);
}
/* check MPFR_FAST_COMPUTE_IF_SMALL_INPUT */
mpfr_set_prec (x, 2);
mpfr_set_prec (y, 20);
mpfr_set_ui_2exp (x, 1, -21, GMP_RNDN);
mpfr_li2 (y, x, GMP_RNDN);
MPFR_ASSERTN(mpfr_cmp (y, x) == 0);
mpfr_set_si_2exp (x, -1, -21, GMP_RNDN);
mpfr_li2 (y, x, GMP_RNDN);
MPFR_ASSERTN(mpfr_cmp (y, x) == 0);
/* worst case */
/* x2 = 0x7F18EA6537E00E983196CDDC6EFAC57Fp-129
Li2(x2) = 2^-2 + 2^-6 + 2^-120 */
mpfr_set_prec (x, 128);
mpfr_set_str (x, "7F18EA6537E00E983196CDDC6EFAC57Fp-129", 16, GMP_RNDN);
/* round to nearest mode and 4 bits of precision,
it should be rounded to 2^-2 + 2^-5 and */
mpfr_set_prec (y, 4);
inexact = mpfr_li2 (y, x, GMP_RNDN);
if (inexact != 1 || mpfr_cmp_str (y, "0.1001p-1", 2, GMP_RNDN) != 0)
{
printf ("Error for li2(x2, RNDN)\n");
exit (1);
}
/* round towards zero mode and 5 bits of precision,
it should be rounded to 2^-2 + 2^-6 */
mpfr_set_prec (y, 5);
inexact = mpfr_li2 (y, x, GMP_RNDZ);
if (inexact != -1 || mpfr_cmp_str (y, "0.10001p-1", 2, GMP_RNDN) != 0)
{
printf ("Error for li2(x2, RNDZ)\n");
exit (1);
}
/* round away from zero mode and 5 bits of precision,
it should be rounded to 2^-2 + 2^-5 */
inexact = mpfr_li2 (y, x, GMP_RNDU);
if (inexact != 1 || mpfr_cmp_str (y, "0.10010p-1", 2, GMP_RNDN) != 0)
{
printf ("Error for li2(x2, RNDU)\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
int
main (int argc, char *argv[])
{
tests_start_mpfr ();
special ();
normal ();
test_generic (2, 100, 2);
data_check ("data/li2", mpfr_li2, "mpfr_li2");
tests_end_mpfr ();
return 0;
}
#else
int
main (void)
{
printf ("Warning! Test disabled for this MPFR version.\n");
return 0;
}
#endif
|
