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/* @(#)e_remainder.c 5.1 93/09/24 */
/*
 * ====================================================
 * 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.
 * ====================================================
 */
 
/*
FUNCTION
<<remainder>>, <<remainderf>>---round and  remainder
INDEX
        remainder
INDEX
        remainderf
 
ANSI_SYNOPSIS
        #include <math.h>
        double remainder(double <[x]>, double <[y]>);
        float remainderf(float <[x]>, float <[y]>);
 
TRAD_SYNOPSIS
        #include <math.h>
        double remainder(<[x]>,<[y]>)
        double <[x]>, <[y]>;
        float remainderf(<[x]>,<[y]>)
        float <[x]>, <[y]>;
 
DESCRIPTION
<<remainder>> and <<remainderf>> find the remainder of
<[x]>/<[y]>; this value is in the range -<[y]>/2 .. +<[y]>/2.
 
RETURNS
<<remainder>> returns the integer result as a double.
 
PORTABILITY
<<remainder>> is a System V release 4.
<<remainderf>> is an extension.
 
*/
 
/* remainder(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 fmod() return x-[x/p]chopped*p exactlp.
 */
 
#include "fdlibm.h"
 
#ifndef _DOUBLE_IS_32BITS
 
#ifdef __STDC__
static const double zero = 0.0;
#else
static double zero = 0.0;
#endif
 
 
#ifdef __STDC__
	double remainder(double x, double p)
#else
	double remainder(x,p)
	double x,p;
#endif
{
	__int32_t hx,hp;
	__uint32_t sx,lx,lp;
	double p_half;
 
	EXTRACT_WORDS(hx,lx,x);
	EXTRACT_WORDS(hp,lp,p);
	sx = hx&0x80000000;
	hp &= 0x7fffffff;
	hx &= 0x7fffffff;
 
    /* purge off exception values */
	if((hp|lp)==0) return (x*p)/(x*p); 	/* p = 0 */
	if((hx>=0x7ff00000)||			/* x not finite */
	  ((hp>=0x7ff00000)&&			/* p is NaN */
	  (((hp-0x7ff00000)|lp)!=0)))
	    return (x*p)/(x*p);
 
 
	if (hp<=0x7fdfffff) x = fmod(x,p+p);	/* now x < 2p */
	if (((hx-hp)|(lx-lp))==0) return zero*x;
	x  = fabs(x);
	p  = fabs(p);
	if (hp<0x00200000) {
	    if(x+x>p) {
		x-=p;
		if(x+x>=p) x -= p;
	    }
	} else {
	    p_half = 0.5*p;
	    if(x>p_half) {
		x-=p;
		if(x>=p_half) x -= p;
	    }
	}
	GET_HIGH_WORD(hx,x);
	SET_HIGH_WORD(x,hx^sx);
	return x;
}
 
#endif /* defined(_DOUBLE_IS_32BITS) */