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
|
/* Test file for mpfr_arctan.
Copyright 2001, 2002 Free Software Foundation.
Written by Paul Zimmermann, INRIA Lorraine.
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 "gmp.h"
#include "mpfr.h"
#include "mpfr-test.h"
void worst_cases _PROTO((void));
int mpfr_arctan_aux2 _PROTO((mpfr_ptr, mpfr_srcptr, mp_rnd_t));
void
worst_cases (void)
{
mpfr_t x, y, z;
mpfr_init2 (x, 53);
mpfr_init2 (y, 53);
mpfr_init2 (z, 53);
mpfr_set_str_raw (x, "1.0000100110000001100111100011001110101110100111011101");
mpfr_set_str_raw (y, "1.1001101101110100101100110011011101101000011010111110e-1");
mpfr_atan (z, x, GMP_RNDN);
if (mpfr_cmp (y, z))
{
fprintf (stderr, "Error in mpfr_atan for prec=53, rnd=GMP_RNDN\n");
fprintf (stderr, "x=");
mpfr_out_str (stderr, 2, 0, x, GMP_RNDN);
fprintf (stderr, "\nexpected ");
mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
fprintf (stderr, "\ngot ");
mpfr_out_str (stderr, 2, 0, z, GMP_RNDN);
fprintf (stderr, "\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
}
int
main (int argc, char *argv[])
{
unsigned int prec, err, yprec, n, p0 = 2, p1 = 100, N = 10;
mp_rnd_t rnd;
mpfr_t x, y, z, t;
worst_cases ();
mpfr_init (x);
mpfr_init (y);
mpfr_init (z);
mpfr_init (t);
/* tarctan prec - perform one random computation with precision prec */
if (argc >= 2)
{
p0 = p1 = atoi (argv[1]);
N = 1;
}
for (prec = p0; prec <= p1; prec++)
{
mpfr_set_prec (x, prec);
mpfr_set_prec (z, prec);
mpfr_set_prec (t, prec);
yprec = prec + 10;
for (n=0; n<N; n++)
{
mpfr_random (x);
rnd = random () % 4;
mpfr_set_prec (y, yprec);
mpfr_atan (y, x, rnd);
err = (rnd == GMP_RNDN) ? yprec + 1 : yprec;
if (mpfr_can_round (y, err, rnd, rnd, prec))
{
mpfr_set (t, y, rnd);
mpfr_atan (z, x, rnd);
if (mpfr_cmp (t, z))
{
printf ("results differ for x=");
mpfr_out_str (stdout, 2, prec, x, GMP_RNDN);
printf (" prec=%u rnd_mode=%s\n", prec,
mpfr_print_rnd_mode (rnd));
printf (" got ");
mpfr_out_str (stdout, 2, prec, z, GMP_RNDN);
putchar ('\n');
printf (" expected ");
mpfr_out_str (stdout, 2, prec, t, GMP_RNDN);
putchar ('\n');
printf (" approximation was ");
mpfr_print_binary (y);
putchar ('\n');
exit (1);
}
}
}
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (t);
return 0;
}
|
