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
|
/* Test mpfr_get_ld_2exp.
Copyright 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc.
Contributed by the AriC and Caramel projects, INRIA.
This file is part of the GNU MPFR Library.
The GNU 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 3 of the License, or (at your
option) any later version.
The GNU 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 GNU MPFR Library; see the file COPYING.LESSER. If not, see
http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
#include <stdio.h>
#include <stdlib.h>
#include <float.h>
#include "mpfr-test.h"
/* Check that hardware rounding doesn't make mpfr_get_ld_2exp return a value
outside its defined range. */
static void
check_round (void)
{
static const unsigned long data[] = {1, 32, 53, 54, 63, 64, 65, 127, 128, 256, 512 };
mpfr_t f;
long double got;
long got_exp;
int i, rnd_mode, neg;
mpfr_init2 (f, 1024L);
for (rnd_mode = 0; rnd_mode < MPFR_RND_MAX ; rnd_mode++)
{
for (i = 0; i < (int) numberof (data); i++)
{
mpfr_set_ui (f, 1L, MPFR_RNDZ);
mpfr_mul_2exp (f, f, data[i], MPFR_RNDZ);
mpfr_sub_ui (f, f, 1L, MPFR_RNDZ);
for (neg = 0; neg <= 1; neg++)
{
got = mpfr_get_ld_2exp (&got_exp, f, (mpfr_rnd_t) rnd_mode);
if (neg == 0
? (got < 0.5 || got >= 1.0)
: (got <= -1.0 || got > -0.5))
{
printf ("mpfr_get_ld_2exp wrong on 2**%lu-1\n", data[i]);
printf ("result out of range, expect 0.5 <= got < 1.0\n");
printf (" rnd_mode = %d\n", rnd_mode);
printf (" data[i] = %lu\n", data[i]);
printf (" f ");
mpfr_out_str (stdout, 2, 0, f, MPFR_RNDN);
printf ("\n");
d_trace (" got ", got);
printf (" got exp %ld\n", got_exp);
exit(1);
}
mpfr_neg (f, f, MPFR_RNDZ);
}
}
}
mpfr_clear (f);
}
static void
check_inf_nan (void)
{
/* only if nans and infs are available */
#if _GMP_IEEE_FLOATS
mpfr_t x;
double d;
long exp;
mpfr_init2 (x, 123);
mpfr_set_inf (x, 1);
d = (double) mpfr_get_ld_2exp (&exp, x, MPFR_RNDZ);
ASSERT_ALWAYS (d > 0);
ASSERT_ALWAYS (DOUBLE_ISINF (d));
mpfr_set_inf (x, -1);
d = (double) mpfr_get_ld_2exp (&exp, x, MPFR_RNDZ);
ASSERT_ALWAYS (d < 0);
ASSERT_ALWAYS (DOUBLE_ISINF (d));
mpfr_set_nan (x);
d = (double) mpfr_get_ld_2exp (&exp, x, MPFR_RNDZ);
ASSERT_ALWAYS (DOUBLE_ISNAN (d));
mpfr_clear (x);
#endif
}
static void
bug20090520 (void)
{
mpfr_t x;
long double d, e;
int i;
mpfr_init (x);
mpfr_set_ui (x, 1, MPFR_RNDN);
d = 1.0;
mpfr_div_2exp (x, x, 16383, MPFR_RNDN);
for (i = 0; i < 16383; i++)
d *= 0.5;
e = mpfr_get_ld (x, MPFR_RNDN);
if (e != d)
{
printf ("mpfr_get_ld(1e-16383) failed\n");
printf ("expected %.20Le\n", d);
printf ("got %.20Le\n", e);
exit (1);
}
mpfr_clear (x);
}
int
main (void)
{
tests_start_mpfr ();
mpfr_test_init ();
bug20090520 ();
check_round ();
check_inf_nan ();
tests_end_mpfr ();
return 0;
}
|
