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
|
/*
* Copyright (c) 1989, 1993
* The Regents of the University of California. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static char sccsid[] = "@(#)fmod.c 8.1 (Berkeley) 6/4/93";
#endif /* not lint */
/* fmod.c
*
* SYNOPSIS
*
* #include <math.h>
* double fmod(double x, double y)
*
* DESCRIPTION
*
* The fmod function computes the floating-point remainder of x/y.
*
* RETURNS
*
* The fmod function returns the value x-i*y, for some integer i
* such that, if y is nonzero, the result has the same sign as x and
* magnitude less than the magnitude of y.
*
* On a VAX or CCI,
*
* fmod(x,0) traps/faults on floating-point divided-by-zero.
*
* On IEEE-754 conforming machines with "isnan()" primitive,
*
* fmod(x,0), fmod(INF,y) are invalid operations and NaN is returned.
*
*/
#if !defined(vax) && !defined(tahoe)
extern int isnan(),finite();
#endif /* !defined(vax) && !defined(tahoe) */
extern double frexp(),ldexp(),fabs();
#ifdef TEST_FMOD
static double
_fmod(x,y)
#else /* TEST_FMOD */
double
fmod(x,y)
#endif /* TEST_FMOD */
double x,y;
{
int ir,iy;
double r,w;
if (y == (double)0
#if !defined(vax) && !defined(tahoe) /* per "fmod" manual entry, SunOS 4.0 */
|| isnan(y) || !finite(x)
#endif /* !defined(vax) && !defined(tahoe) */
)
return (x*y)/(x*y);
r = fabs(x);
y = fabs(y);
(void)frexp(y,&iy);
while (r >= y) {
(void)frexp(r,&ir);
w = ldexp(y,ir-iy);
r -= w <= r ? w : w*(double)0.5;
}
return x >= (double)0 ? r : -r;
}
#ifdef TEST_FMOD
extern long random();
extern double fmod();
#define NTEST 10000
#define NCASES 3
static int nfail = 0;
static void
doit(x,y)
double x,y;
{
double ro = fmod(x,y),rn = _fmod(x,y);
if (ro != rn) {
(void)printf(" x = 0x%08.8x %08.8x (%24.16e)\n",x,x);
(void)printf(" y = 0x%08.8x %08.8x (%24.16e)\n",y,y);
(void)printf(" fmod = 0x%08.8x %08.8x (%24.16e)\n",ro,ro);
(void)printf("_fmod = 0x%08.8x %08.8x (%24.16e)\n",rn,rn);
(void)printf("\n");
}
}
main()
{
register int i,cases;
double x,y;
srandom(12345);
for (i = 0; i < NTEST; i++) {
x = (double)random();
y = (double)random();
for (cases = 0; cases < NCASES; cases++) {
switch (cases) {
case 0:
break;
case 1:
y = (double)1/y; break;
case 2:
x = (double)1/x; break;
default:
abort(); break;
}
doit(x,y);
doit(x,-y);
doit(-x,y);
doit(-x,-y);
}
}
if (nfail)
(void)printf("Number of failures: %d (out of a total of %d)\n",
nfail,NTEST*NCASES*4);
else
(void)printf("No discrepancies were found\n");
exit(0);
}
#endif /* TEST_FMOD */
|