Retro68/gcc/libquadmath/math/remainderq.c

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/* e_fmodl.c -- long double version of e_fmod.c.
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* 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
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* software is freely granted, provided that this notice
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* is preserved.
* ====================================================
*/
/* remainderq(x,p)
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* Return :
* returns x REM p = x - [x/p]*p as if in infinite
* precise arithmetic, where [x/p] is the (infinite bit)
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* integer nearest x/p (in half way case choose the even one).
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* Method :
* Based on fmodl() return x-[x/p]chopped*p exactlp.
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*/
#include "quadmath-imp.h"
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static const __float128 zero = 0;
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__float128
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remainderq(__float128 x, __float128 p)
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{
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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;
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/* 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);
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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;
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}