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
|
/* Test file for mpfr_hypot.
Copyright 2001, 2002 Free Software Foundation.
Adapted from tarctan.c.
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 <limits.h>
#include <stdlib.h>
#include "gmp.h"
#include "gmp-impl.h"
#include "mpfr.h"
#include "mpfr-impl.h"
#include "mpfr-test.h"
#define TEST_FUNCTION mpfr_hypot
int
main (int argc, char *argv[])
{
unsigned int prec, err, yprec, n, p0 = 2, p1 = 100, N = 100;
mp_rnd_t rnd;
mpfr_t x1, x2, y, z, t;
int inexact, compare, compare2;
mpfr_init (x1);
mpfr_init (x2);
mpfr_init (y);
mpfr_init (z);
mpfr_init (t);
/* thypot 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 (x1, prec);
mpfr_set_prec (x2, prec);
mpfr_set_prec (z, prec);
mpfr_set_prec (t, prec);
yprec = prec + 10;
for (n=0; n<N; n++)
{
mpfr_random(x1);
mpfr_random(x2);
if (random() % 2)
mpfr_neg (x1, x1, GMP_RNDN);
if (random() % 2)
mpfr_neg (x2, x2, GMP_RNDN);
rnd = random () % 4;
mpfr_set_prec (y, yprec);
compare =TEST_FUNCTION (y, x1,x2, rnd);
err = (rnd == GMP_RNDN) ? yprec + 1 : yprec;
if (mpfr_can_round (y, err, rnd, rnd, prec))
{
mpfr_set (t, y, rnd);
inexact = TEST_FUNCTION (z, x1,x2, rnd);
if (mpfr_cmp (t, z))
{
printf ("results differ for x1=");
mpfr_out_str (stdout, 2, prec, x1, GMP_RNDN);
printf ("\n et x2=");
mpfr_out_str (stdout, 2, prec, x2, GMP_RNDN);
printf (" \n 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);
}
compare2 = mpfr_cmp (t, y);
/* if rounding to nearest, cannot know the sign of t - f(x)
because of composed rounding: y = o(f(x)) and t = o(y) */
if ((rnd != GMP_RNDN) && (compare * compare2 >= 0))
compare = compare + compare2;
else
compare = inexact; /* cannot determine sign(t-f(x)) */
if (((inexact == 0) && (compare != 0)) ||
((inexact > 0) && (compare <= 0)) ||
((inexact < 0) && (compare >= 0)))
{
fprintf (stderr, "Wrong inexact flag for rnd=%s: expected %d, got %d\n",
mpfr_print_rnd_mode (rnd), compare, inexact);
printf ("x1="); mpfr_print_binary (x1); putchar ('\n');
printf ("x2="); mpfr_print_binary (x2); putchar ('\n');
printf ("t="); mpfr_print_binary (t); putchar ('\n');
exit (1);
}
}
}
}
mpfr_clear (x1);
mpfr_clear (x2);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (t);
return 0;
}
|
