/* $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 <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) */
#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 <math.h>
#include <stdio.h>
#include <stdlib.h>
#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 */