|
Packit |
6c4009 |
/* e_fmodl.c -- long double version of e_fmod.c.
|
|
Packit |
6c4009 |
* Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
|
|
Packit |
6c4009 |
*/
|
|
Packit |
6c4009 |
/*
|
|
Packit |
6c4009 |
* ====================================================
|
|
Packit |
6c4009 |
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
|
|
Packit |
6c4009 |
*
|
|
Packit |
6c4009 |
* Developed at SunPro, a Sun Microsystems, Inc. business.
|
|
Packit |
6c4009 |
* Permission to use, copy, modify, and distribute this
|
|
Packit |
6c4009 |
* software is freely granted, provided that this notice
|
|
Packit |
6c4009 |
* is preserved.
|
|
Packit |
6c4009 |
* ====================================================
|
|
Packit |
6c4009 |
*/
|
|
Packit |
6c4009 |
|
|
Packit |
6c4009 |
/* __ieee754_remainderl(x,p)
|
|
Packit |
6c4009 |
* Return :
|
|
Packit |
6c4009 |
* returns x REM p = x - [x/p]*p as if in infinite
|
|
Packit |
6c4009 |
* precise arithmetic, where [x/p] is the (infinite bit)
|
|
Packit |
6c4009 |
* integer nearest x/p (in half way case choose the even one).
|
|
Packit |
6c4009 |
* Method :
|
|
Packit |
6c4009 |
* Based on fmodl() return x-[x/p]chopped*p exactlp.
|
|
Packit |
6c4009 |
*/
|
|
Packit |
6c4009 |
|
|
Packit |
6c4009 |
#include <math.h>
|
|
Packit |
6c4009 |
#include <math_private.h>
|
|
Packit |
6c4009 |
|
|
Packit |
6c4009 |
static const long double zero = 0.0L;
|
|
Packit |
6c4009 |
|
|
Packit |
6c4009 |
|
|
Packit |
6c4009 |
long double
|
|
Packit |
6c4009 |
__ieee754_remainderl(long double x, long double p)
|
|
Packit |
6c4009 |
{
|
|
Packit |
6c4009 |
int64_t hx,hp;
|
|
Packit |
6c4009 |
uint64_t sx,lx,lp;
|
|
Packit |
6c4009 |
long double p_half;
|
|
Packit |
6c4009 |
double xhi, xlo, phi, plo;
|
|
Packit |
6c4009 |
|
|
Packit |
6c4009 |
ldbl_unpack (x, &xhi, &xlo;;
|
|
Packit |
6c4009 |
EXTRACT_WORDS64 (hx, xhi);
|
|
Packit |
6c4009 |
EXTRACT_WORDS64 (lx, xlo);
|
|
Packit |
6c4009 |
ldbl_unpack (p, &phi, &plo;;
|
|
Packit |
6c4009 |
EXTRACT_WORDS64 (hp, phi);
|
|
Packit |
6c4009 |
EXTRACT_WORDS64 (lp, plo);
|
|
Packit |
6c4009 |
sx = hx&0x8000000000000000ULL;
|
|
Packit |
6c4009 |
lp ^= hp & 0x8000000000000000ULL;
|
|
Packit |
6c4009 |
hp &= 0x7fffffffffffffffLL;
|
|
Packit |
6c4009 |
lx ^= sx;
|
|
Packit |
6c4009 |
hx &= 0x7fffffffffffffffLL;
|
|
Packit |
6c4009 |
if (lp == 0x8000000000000000ULL)
|
|
Packit |
6c4009 |
lp = 0;
|
|
Packit |
6c4009 |
if (lx == 0x8000000000000000ULL)
|
|
Packit |
6c4009 |
lx = 0;
|
|
Packit |
6c4009 |
|
|
Packit |
6c4009 |
/* purge off exception values */
|
|
Packit |
6c4009 |
if(hp==0) return (x*p)/(x*p); /* p = 0 */
|
|
Packit |
6c4009 |
if((hx>=0x7ff0000000000000LL)|| /* x not finite */
|
|
Packit |
6c4009 |
(hp>0x7ff0000000000000LL)) /* p is NaN */
|
|
Packit |
6c4009 |
return (x*p)/(x*p);
|
|
Packit |
6c4009 |
|
|
Packit |
6c4009 |
|
|
Packit |
6c4009 |
if (hp<=0x7fdfffffffffffffLL) x = __ieee754_fmodl(x,p+p); /* now x < 2p */
|
|
Packit |
6c4009 |
if (((hx-hp)|(lx-lp))==0) return zero*x;
|
|
Packit |
6c4009 |
x = fabsl(x);
|
|
Packit |
6c4009 |
p = fabsl(p);
|
|
Packit |
6c4009 |
if (hp<0x0020000000000000LL) {
|
|
Packit |
6c4009 |
if(x+x>p) {
|
|
Packit |
6c4009 |
x-=p;
|
|
Packit |
6c4009 |
if(x+x>=p) x -= p;
|
|
Packit |
6c4009 |
}
|
|
Packit |
6c4009 |
} else {
|
|
Packit |
6c4009 |
p_half = 0.5L*p;
|
|
Packit |
6c4009 |
if(x>p_half) {
|
|
Packit |
6c4009 |
x-=p;
|
|
Packit |
6c4009 |
if(x>=p_half) x -= p;
|
|
Packit |
6c4009 |
}
|
|
Packit |
6c4009 |
}
|
|
Packit |
6c4009 |
if (sx)
|
|
Packit |
6c4009 |
x = -x;
|
|
Packit |
6c4009 |
return x;
|
|
Packit |
6c4009 |
}
|
|
Packit |
6c4009 |
strong_alias (__ieee754_remainderl, __remainderl_finite)
|