gcc/libquadmath/math/remainderq.c

68 lines
1.8 KiB
C

/* e_fmodl.c -- long double version of e_fmod.c.
* Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
*/
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/* remainderq(x,p)
* Return :
* returns x REM p = x - [x/p]*p as if in infinite
* precise arithmetic, where [x/p] is the (infinite bit)
* integer nearest x/p (in half way case choose the even one).
* Method :
* Based on fmodq() return x-[x/p]chopped*p exactlp.
*/
#include "quadmath-imp.h"
static const __float128 zero = 0.0Q;
__float128
remainderq (__float128 x, __float128 p)
{
int64_t hx,hp;
uint64_t sx,lx,lp;
__float128 p_half;
GET_FLT128_WORDS64(hx,lx,x);
GET_FLT128_WORDS64(hp,lp,p);
sx = hx&0x8000000000000000ULL;
hp &= 0x7fffffffffffffffLL;
hx &= 0x7fffffffffffffffLL;
/* purge off exception values */
if((hp|lp)==0) return (x*p)/(x*p); /* p = 0 */
if((hx>=0x7fff000000000000LL)|| /* x not finite */
((hp>=0x7fff000000000000LL)&& /* p is NaN */
(((hp-0x7fff000000000000LL)|lp)!=0)))
return (x*p)/(x*p);
if (hp<=0x7ffdffffffffffffLL) x = fmodq (x,p+p); /* now x < 2p */
if (((hx-hp)|(lx-lp))==0) return zero*x;
x = fabsq(x);
p = fabsq(p);
if (hp<0x0002000000000000LL) {
if(x+x>p) {
x-=p;
if(x+x>=p) x -= p;
}
} else {
p_half = 0.5Q*p;
if(x>p_half) {
x-=p;
if(x>=p_half) x -= p;
}
}
GET_FLT128_MSW64(hx,x);
SET_FLT128_MSW64(x,hx^sx);
return x;
}