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297 lines
6.3 KiB
C
297 lines
6.3 KiB
C
/*
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* $Id: math_fmod.c,v 1.7 2006-01-08 12:04:23 obarthel Exp $
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*
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* :ts=4
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*
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* Portable ISO 'C' (1994) runtime library for the Amiga computer
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* Copyright (c) 2002-2015 by Olaf Barthel <obarthel (at) gmx.net>
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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*
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* - Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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* - Neither the name of Olaf Barthel nor the names of contributors
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* may be used to endorse or promote products derived from this
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* software without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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* POSSIBILITY OF SUCH DAMAGE.
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*
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*
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* PowerPC math library based in part on work by Sun Microsystems
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* 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.
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*/
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#ifndef _MATH_HEADERS_H
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#include "math_headers.h"
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#endif /* _MATH_HEADERS_H */
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/****************************************************************************/
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#if defined(FLOATING_POINT_SUPPORT)
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/****************************************************************************/
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#if defined(IEEE_FLOATING_POINT_SUPPORT)
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/****************************************************************************/
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INLINE STATIC const double
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__fmod(double x,double y)
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{
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double q,p,result;
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q = x / y;
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if(q < 0.0)
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p = ceil(q) - q;
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else
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p = q - floor(q);
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result = p * y;
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return(result);
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}
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/****************************************************************************/
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#endif /* IEEE_FLOATING_POINT_SUPPORT */
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/****************************************************************************/
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#if defined(M68881_FLOATING_POINT_SUPPORT)
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INLINE STATIC const double
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__fmod(double x,double y)
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{
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double result;
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__asm ("fmod%.x %2,%0"
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: "=f" (result)
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: "0" (x),
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"f" (y));
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return(result);
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}
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#endif /* M68881_FLOATING_POINT_SUPPORT */
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/****************************************************************************/
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#if defined(PPC_FLOATING_POINT_SUPPORT)
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static const double
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one = 1.0,
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Zero[] = {0.0, -0.0,};
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INLINE STATIC double
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__fmod(double x,double y)
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{
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int n,hx,hy,hz,ix,iy,sx,i;
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unsigned int lx,ly,lz;
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EXTRACT_WORDS(hx,lx,x);
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EXTRACT_WORDS(hy,ly,y);
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sx = hx&0x80000000; /* sign of x */
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hx ^=sx; /* |x| */
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hy &= 0x7fffffff; /* |y| */
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/* purge off exception values */
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if((hy|ly)==0||(hx>=0x7ff00000)|| /* y=0,or x not finite */
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((hy|((ly|-ly)>>31))>0x7ff00000)) /* or y is NaN */
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return (x*y)/(x*y);
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if(hx<=hy)
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{
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if((hx<hy)||(lx<ly))
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return x; /* |x|<|y| return x */
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if(lx==ly)
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return Zero[(unsigned int)sx>>31]; /* |x|=|y| return x*0*/
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}
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/* determine ix = ilogb(x) */
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if(hx<0x00100000) /* subnormal x */
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{
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if(hx==0)
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{
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for (ix = -1043, i=lx; i>0; i<<=1)
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ix -=1;
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}
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else
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{
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for (ix = -1022,i=(hx<<11); i>0; i<<=1)
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ix -=1;
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}
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}
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else
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ix = (hx>>20)-1023;
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/* determine iy = ilogb(y) */
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if(hy<0x00100000) /* subnormal y */
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{
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if(hy==0)
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{
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for (iy = -1043, i=ly; i>0; i<<=1)
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iy -=1;
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}
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else
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{
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for (iy = -1022,i=(hy<<11); i>0; i<<=1)
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iy -=1;
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}
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}
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else
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iy = (hy>>20)-1023;
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/* set up {hx,lx}, {hy,ly} and align y to x */
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if(ix >= -1022)
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hx = 0x00100000|(0x000fffff&hx);
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else /* subnormal x, shift x to normal */
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{
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n = -1022-ix;
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if(n<=31)
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{
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hx = (hx<<n)|(lx>>(32-n));
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lx <<= n;
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}
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else
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{
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hx = lx<<(n-32);
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lx = 0;
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}
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}
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if(iy >= -1022)
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hy = 0x00100000|(0x000fffff&hy);
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else /* subnormal y, shift y to normal */
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{
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n = -1022-iy;
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if(n<=31)
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{
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hy = (hy<<n)|(ly>>(32-n));
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ly <<= n;
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}
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else
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{
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hy = ly<<(n-32);
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ly = 0;
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}
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}
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/* fix point fmod */
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n = ix - iy;
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while(n--)
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{
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hz=hx-hy;lz=lx-ly;
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if(lx<ly)
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hz -= 1;
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if(hz<0)
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{
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hx = hx+hx+(lx>>31);
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lx = lx+lx;
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}
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else
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{
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if((hz|lz)==0) /* return sign(x)*0 */
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return Zero[(unsigned int)sx>>31];
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hx = hz+hz+(lz>>31);
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lx = lz+lz;
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}
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}
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hz=hx-hy;
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lz=lx-ly;
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if(lx<ly)
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hz -= 1;
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if(hz>=0)
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{
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hx=hz;
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lx=lz;
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}
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/* convert back to floating value and restore the sign */
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if((hx|lx)==0) /* return sign(x)*0 */
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return Zero[(unsigned int)sx>>31];
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while(hx<0x00100000) /* normalize x */
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{
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hx = hx+hx+(lx>>31);
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lx = lx+lx;
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iy -= 1;
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}
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if(iy>= -1022) /* normalize output */
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{
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hx = ((hx-0x00100000)|((iy+1023)<<20));
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INSERT_WORDS(x,hx|sx,lx);
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}
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else
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{ /* subnormal output */
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n = -1022 - iy;
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if(n<=20)
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{
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lx = (lx>>n)|((unsigned int)hx<<(32-n));
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hx >>= n;
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}
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else
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if (n<=31)
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{
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lx = (hx<<(32-n))|(lx>>n);
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hx = sx;
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}
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else
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{
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lx = hx>>(n-32); hx = sx;
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}
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INSERT_WORDS(x,hx|sx,lx);
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x *= one; /* create necessary signal */
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}
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return x; /* exact output */
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}
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#endif /* PPC_FLOATING_POINT_SUPPORT */
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/****************************************************************************/
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double
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fmod(double x,double y)
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{
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double result;
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if(y != 0.0)
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{
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result = __fmod(x,y);
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}
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else
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{
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result = x;
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__set_errno(EDOM);
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}
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return(result);
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}
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/****************************************************************************/
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#endif /* FLOATING_POINT_SUPPORT */
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