1 /* $NetBSD: n_fmod.c,v 1.10 2016/01/16 21:31:38 christos 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. Neither the name of the University nor the names of its contributors 15 * may be used to endorse or promote products derived from this software 16 * without specific prior written permission. 17 * 18 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 19 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 20 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 21 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 22 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 23 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 24 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 25 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 26 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 27 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 28 * SUCH DAMAGE. 29 */ 30 31 #ifndef lint 32 #if 0 33 static char sccsid[] = "@(#)fmod.c 8.1 (Berkeley) 6/4/93"; 34 #endif 35 #endif /* not lint */ 36 37 #include "mathimpl.h" 38 39 /* fmod.c 40 * 41 * SYNOPSIS 42 * 43 * #include <math.h> 44 * double fmod(double x, double y) 45 * 46 * DESCRIPTION 47 * 48 * The fmod function computes the floating-point remainder of x/y. 49 * 50 * RETURNS 51 * 52 * The fmod function returns the value x-i*y, for some integer i 53 * such that, if y is nonzero, the result has the same sign as x and 54 * magnitude less than the magnitude of y. 55 * 56 * On a VAX or CCI, 57 * 58 * fmod(x,0) traps/faults on floating-point divided-by-zero. 59 * 60 * On IEEE-754 conforming machines with "isnan()" primitive, 61 * 62 * fmod(x,0), fmod(INF,y) are invalid operations and NaN is returned. 63 * 64 */ 65 #if !defined(__vax__) && !defined(tahoe) 66 extern int isnan(),finite(); 67 #endif /* !defined(__vax__) && !defined(tahoe) */ 68 69 #if DBL_MANT_DIG == LDBL_MANT_DIG && DBL_MIN_EXP == LDBL_MIN_EXP \ 70 && DBL_MIN_EXP == LDBL_MIN_EXP 71 #ifdef __weak_alias 72 __weak_alias(fmodl, fmod); 73 #endif 74 #endif 75 76 #ifdef TEST_FMOD 77 static double 78 _fmod(double x, double y) 79 #else /* TEST_FMOD */ 80 double 81 fmod(double x, double y) 82 #endif /* TEST_FMOD */ 83 { 84 int ir,iy; 85 double r,w; 86 87 if (y == (double)0 88 #if !defined(__vax__) && !defined(tahoe) /* per "fmod" manual entry, SunOS 4.0 */ 89 || isnan(y) || !finite(x) 90 #endif /* !defined(__vax__) && !defined(tahoe) */ 91 ) 92 return (x*y)/(x*y); 93 94 r = fabs(x); 95 y = fabs(y); 96 (void)frexp(y,&iy); 97 while (r >= y) { 98 (void)frexp(r,&ir); 99 w = ldexp(y,ir-iy); 100 r -= w <= r ? w : w*(double)0.5; 101 } 102 return x >= (double)0 ? r : -r; 103 } 104 105 float 106 fmodf(float x, float y) 107 { 108 return fmod(x, y); 109 } 110 111 #ifdef TEST_FMOD 112 #include <math.h> 113 #include <stdio.h> 114 #include <stdlib.h> 115 116 #define NTEST 10000 117 #define NCASES 3 118 119 static int nfail = 0; 120 static void 121 prf(const char *s, double d) 122 { 123 union { 124 double d; 125 unsigned long long u; 126 } x; 127 x.d = d; 128 printf("%s = %#016.16llx (%24.16e)\n", s, x.u, x.d); 129 } 130 131 static void 132 doit(double x, double y) 133 { 134 double ro = fmod(x,y),rn = _fmod(x,y); 135 if (ro != rn) { 136 prf(" x ", x); 137 prf(" y ", y); 138 prf(" fmod", ro); 139 prf("_fmod", rn); 140 (void)printf("\n"); 141 } 142 } 143 144 int 145 main(int argc, char **argv) 146 { 147 int i,cases; 148 double x,y; 149 150 srandom(12345); 151 for (i = 0; i < NTEST; i++) { 152 x = (double)random(); 153 y = (double)random(); 154 for (cases = 0; cases < NCASES; cases++) { 155 switch (cases) { 156 case 0: 157 break; 158 case 1: 159 y = (double)1/y; break; 160 case 2: 161 x = (double)1/x; break; 162 default: 163 abort(); break; 164 } 165 doit(x,y); 166 doit(x,-y); 167 doit(-x,y); 168 doit(-x,-y); 169 } 170 } 171 if (nfail) 172 (void)printf("Number of failures: %d (out of a total of %d)\n", 173 nfail,NTEST*NCASES*4); 174 else 175 (void)printf("No discrepancies were found\n"); 176 exit(0); 177 } 178 #endif /* TEST_FMOD */ 179