genericopenlibs/openenvcore/libm/src/e_hypotf.c
author Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
Tue, 02 Feb 2010 02:01:42 +0200
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/*--------------------------------------------------------------------
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 *© Portions copyright (c) 2006 Nokia Corporation.  All rights reserved.
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 *--------------------------------------------------------------------
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*/
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/* e_hypotf.c -- float version of e_hypot.c.
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 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
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 */
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/*
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 * ====================================================
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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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 */
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#ifndef __SYMBIAN32__
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#ifndef lint
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static char rcsid[] = "$FreeBSD: src/lib/msun/src/e_hypotf.c,v 1.9 2002/05/28 18:15:03 alfred Exp $";
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#endif
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#endif //__SYMBIAN32__
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#include <math.h>
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#include "math_private.h"
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EXPORT_C float
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__ieee754_hypotf(float x, float y)
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{
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	float a=x,b=y,t1,t2,y1,y2,w;
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	int32_t j,k,ha,hb;
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	GET_FLOAT_WORD(ha,x);
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	ha &= 0x7fffffff;
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	GET_FLOAT_WORD(hb,y);
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	hb &= 0x7fffffff;
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	if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
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	SET_FLOAT_WORD(a,ha);	/* a <- |a| */
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	SET_FLOAT_WORD(b,hb);	/* b <- |b| */
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	if((ha-hb)>0xf000000) {return a+b;} /* x/y > 2**30 */
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	k=0;
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	if(ha > 0x58800000) {	/* a>2**50 */
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	   if(ha >= 0x7f800000) {	/* Inf or NaN */
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	       w = a+b;			/* for sNaN */
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	       if(ha == 0x7f800000) w = a;
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	       if(hb == 0x7f800000) w = b;
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	       return w;
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	   }
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	   /* scale a and b by 2**-68 */
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	   ha -= 0x22000000; hb -= 0x22000000;	k += 68;
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	   SET_FLOAT_WORD(a,ha);
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	   SET_FLOAT_WORD(b,hb);
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	}
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	if(hb < 0x26800000) {	/* b < 2**-50 */
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	    if(hb <= 0x007fffff) {	/* subnormal b or 0 */
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	        if(hb==0) return a;
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		SET_FLOAT_WORD(t1,0x7e800000);	/* t1=2^126 */
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		b *= t1;
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		a *= t1;
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		k -= 126;
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	    } else {		/* scale a and b by 2^68 */
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	        ha += 0x22000000; 	/* a *= 2^68 */
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		hb += 0x22000000;	/* b *= 2^68 */
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		k -= 68;
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		SET_FLOAT_WORD(a,ha);
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		SET_FLOAT_WORD(b,hb);
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	    }
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	}
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    /* medium size a and b */
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	w = a-b;
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	if (w>b) {
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	    SET_FLOAT_WORD(t1,ha&0xfffff000);
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	    t2 = a-t1;
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	    w  = __ieee754_sqrtf(t1*t1-(b*(-b)-t2*(a+t1)));
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	} else {
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	    a  = a+a;
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	    SET_FLOAT_WORD(y1,hb&0xfffff000);
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	    y2 = b - y1;
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	    SET_FLOAT_WORD(t1,ha+0x00800000);
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	    t2 = a - t1;
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	    w  = __ieee754_sqrtf(t1*y1-(w*(-w)-(t1*y2+t2*b)));
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	}
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	if(k!=0) {
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	    SET_FLOAT_WORD(t1,0x3f800000+(k<<23));
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	    return t1*w;
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	} else return w;
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}