n_fmod.c revision 1.1 1 /* $NetBSD: n_fmod.c,v 1.1 1995/10/10 23:36:49 ragge Exp $ */
2 /*
3 * Copyright (c) 1989, 1993
4 * The Regents of the University of California. All rights reserved.
5 *
6 * Redistribution and use in source and binary forms, with or without
7 * modification, are permitted provided that the following conditions
8 * are met:
9 * 1. Redistributions of source code must retain the above copyright
10 * notice, this list of conditions and the following disclaimer.
11 * 2. Redistributions in binary form must reproduce the above copyright
12 * notice, this list of conditions and the following disclaimer in the
13 * documentation and/or other materials provided with the distribution.
14 * 3. All advertising materials mentioning features or use of this software
15 * must display the following acknowledgement:
16 * This product includes software developed by the University of
17 * California, Berkeley and its contributors.
18 * 4. Neither the name of the University nor the names of its contributors
19 * may be used to endorse or promote products derived from this software
20 * without specific prior written permission.
21 *
22 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
23 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
24 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
25 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
26 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
27 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
28 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
29 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
30 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
31 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
32 * SUCH DAMAGE.
33 */
34
35 #ifndef lint
36 static char sccsid[] = "@(#)fmod.c 8.1 (Berkeley) 6/4/93";
37 #endif /* not lint */
38
39 #include "mathimpl.h"
40
41 /* fmod.c
42 *
43 * SYNOPSIS
44 *
45 * #include <math.h>
46 * double fmod(double x, double y)
47 *
48 * DESCRIPTION
49 *
50 * The fmod function computes the floating-point remainder of x/y.
51 *
52 * RETURNS
53 *
54 * The fmod function returns the value x-i*y, for some integer i
55 * such that, if y is nonzero, the result has the same sign as x and
56 * magnitude less than the magnitude of y.
57 *
58 * On a VAX or CCI,
59 *
60 * fmod(x,0) traps/faults on floating-point divided-by-zero.
61 *
62 * On IEEE-754 conforming machines with "isnan()" primitive,
63 *
64 * fmod(x,0), fmod(INF,y) are invalid operations and NaN is returned.
65 *
66 */
67 #if !defined(vax) && !defined(tahoe)
68 extern int isnan(),finite();
69 #endif /* !defined(vax) && !defined(tahoe) */
70 extern double frexp(),ldexp(),fabs();
71
72 #ifdef TEST_FMOD
73 static double
74 _fmod(x,y)
75 #else /* TEST_FMOD */
76 double
77 fmod(x,y)
78 #endif /* TEST_FMOD */
79 double x,y;
80 {
81 int ir,iy;
82 double r,w;
83
84 if (y == (double)0
85 #if !defined(vax) && !defined(tahoe) /* per "fmod" manual entry, SunOS 4.0 */
86 || isnan(y) || !finite(x)
87 #endif /* !defined(vax) && !defined(tahoe) */
88 )
89 return (x*y)/(x*y);
90
91 r = fabs(x);
92 y = fabs(y);
93 (void)frexp(y,&iy);
94 while (r >= y) {
95 (void)frexp(r,&ir);
96 w = ldexp(y,ir-iy);
97 r -= w <= r ? w : w*(double)0.5;
98 }
99 return x >= (double)0 ? r : -r;
100 }
101
102 #ifdef TEST_FMOD
103 extern long random();
104 extern double fmod();
105
106 #define NTEST 10000
107 #define NCASES 3
108
109 static int nfail = 0;
110
111 static void
112 doit(x,y)
113 double x,y;
114 {
115 double ro = fmod(x,y),rn = _fmod(x,y);
116 if (ro != rn) {
117 (void)printf(" x = 0x%08.8x %08.8x (%24.16e)\n",x,x);
118 (void)printf(" y = 0x%08.8x %08.8x (%24.16e)\n",y,y);
119 (void)printf(" fmod = 0x%08.8x %08.8x (%24.16e)\n",ro,ro);
120 (void)printf("_fmod = 0x%08.8x %08.8x (%24.16e)\n",rn,rn);
121 (void)printf("\n");
122 }
123 }
124
125 main()
126 {
127 register int i,cases;
128 double x,y;
129
130 srandom(12345);
131 for (i = 0; i < NTEST; i++) {
132 x = (double)random();
133 y = (double)random();
134 for (cases = 0; cases < NCASES; cases++) {
135 switch (cases) {
136 case 0:
137 break;
138 case 1:
139 y = (double)1/y; break;
140 case 2:
141 x = (double)1/x; break;
142 default:
143 abort(); break;
144 }
145 doit(x,y);
146 doit(x,-y);
147 doit(-x,y);
148 doit(-x,-y);
149 }
150 }
151 if (nfail)
152 (void)printf("Number of failures: %d (out of a total of %d)\n",
153 nfail,NTEST*NCASES*4);
154 else
155 (void)printf("No discrepancies were found\n");
156 exit(0);
157 }
158 #endif /* TEST_FMOD */
159