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
|
/* Test file for mpfr_sin.
Copyright 2001, 2002 Free Software Foundation, Inc.
This file is part of the MPFR Library.
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., 59 Temple Place - Suite 330, Boston,
MA 02111-1307, USA. */
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include "gmp.h"
#include "mpfr.h"
#include "mpfr-impl.h"
#include "mpfr-test.h"
void check53 _PROTO ((double, double, mp_rnd_t));
void
check53 (double x, double sin_x, mp_rnd_t rnd_mode)
{
mpfr_t xx, s;
mpfr_init2 (xx, 53);
mpfr_init2 (s, 53);
mpfr_set_d (xx, x, rnd_mode); /* should be exact */
mpfr_sin (s, xx, rnd_mode);
if (mpfr_get_d (s) != sin_x && (!isnan(sin_x) || !mpfr_nan_p(s)))
{
fprintf (stderr, "mpfr_sin failed for x=%1.20e, rnd=%s\n", x,
mpfr_print_rnd_mode (rnd_mode));
fprintf (stderr, "mpfr_sin gives sin(x)=%1.20e, expected %1.20e\n",
mpfr_get_d (s), sin_x);
exit(1);
}
mpfr_clear (xx);
mpfr_clear (s);
}
#define TEST_FUNCTION mpfr_sin
#include "tgeneric.c"
int
main (int argc, char *argv[])
{
mpfr_t x;
check53 (DBL_NAN, DBL_NAN, GMP_RNDN);
check53 (DBL_POS_INF, DBL_NAN, GMP_RNDN);
check53 (DBL_NEG_INF, DBL_NAN, GMP_RNDN);
/* worst case from PhD thesis of Vincent Lefe`vre: x=8980155785351021/2^54 */
check53 (4.984987858808754279e-1, 4.781075595393330379e-1, GMP_RNDN);
check53 (4.984987858808754279e-1, 4.781075595393329824e-1, GMP_RNDD);
check53 (4.984987858808754279e-1, 4.781075595393329824e-1, GMP_RNDZ);
check53 (4.984987858808754279e-1, 4.781075595393330379e-1, GMP_RNDU);
check53 (1.00031274099908640274, 8.416399183372403892e-1, GMP_RNDN);
check53 (1.00229256850978698523, 8.427074524447979442e-1, GMP_RNDZ);
check53 (1.00288304857059840103, 8.430252033025980029e-1, GMP_RNDZ);
check53 (1.00591265847407274059, 8.446508805292128885e-1, GMP_RNDN);
check53 (1.00591265847407274059, 8.446508805292128885e-1, GMP_RNDN);
mpfr_init2 (x, 2);
mpfr_set_d (x, 0.5, GMP_RNDN);
mpfr_sin (x, x, GMP_RNDD);
if (mpfr_get_d(x) != 0.375)
{
fprintf (stderr, "mpfr_sin(0.5, GMP_RNDD) failed with precision=2\n");
exit (1);
}
/* bug found by Kevin Ryde */
mpfr_const_pi (x, GMP_RNDN);
mpfr_mul_ui (x, x, 3L, GMP_RNDN);
mpfr_div_ui (x, x, 2L, GMP_RNDN);
mpfr_sin (x, x, GMP_RNDN);
if (mpfr_cmp_ui (x, 0) >= 0)
{
fprintf (stderr, "Error: wrong sign for sin(3*Pi/2)\n");
exit (1);
}
mpfr_clear (x);
test_generic (2, 100, 80);
return 0;
}
|
