/* $NetBSD: n_fmod.c,v 1.11 2018/11/09 10:19:47 martin Exp $ */ /* * 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. 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 #if 0 static char sccsid[] = "@(#)fmod.c 8.1 (Berkeley) 6/4/93"; #endif #endif /* not lint */ #include "mathimpl.h" /* fmod.c * * SYNOPSIS * * #include * 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) */ #if DBL_MANT_DIG == LDBL_MANT_DIG && DBL_MIN_EXP == LDBL_MIN_EXP \ && DBL_MIN_EXP == LDBL_MIN_EXP #ifdef __weak_alias __weak_alias(fmodl, fmod); __weak_alias(modfl, fmod); #endif #endif #ifdef TEST_FMOD static double _fmod(double x, double y) #else /* TEST_FMOD */ double fmod(double x, double y) #endif /* TEST_FMOD */ { 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; } float fmodf(float x, float y) { return fmod(x, y); } #ifdef TEST_FMOD #include #include #include #define NTEST 10000 #define NCASES 3 static int nfail = 0; static void prf(const char *s, double d) { union { double d; unsigned long long u; } x; x.d = d; printf("%s = %#016.16llx (%24.16e)\n", s, x.u, x.d); } static void doit(double x, double y) { double ro = fmod(x,y),rn = _fmod(x,y); if (ro != rn) { prf(" x ", x); prf(" y ", y); prf(" fmod", ro); prf("_fmod", rn); (void)printf("\n"); } } int main(int argc, char **argv) { 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 */