genericopenlibs/openenvcore/libm/src/e_acosf.c
author Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
Fri, 11 Jun 2010 15:26:22 +0300
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permissions -rw-r--r--
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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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/*
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 e_acosf.c -- float version of e_acos.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_acosf.c,v 1.7 2002/05/28 17:03:12 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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static const float
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one =  1.0000000000e+00, /* 0x3F800000 */
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pi =  3.1415925026e+00, /* 0x40490fda */
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pio2_hi =  1.5707962513e+00, /* 0x3fc90fda */
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pio2_lo =  7.5497894159e-08, /* 0x33a22168 */
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pS0 =  1.6666667163e-01, /* 0x3e2aaaab */
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pS1 = -3.2556581497e-01, /* 0xbea6b090 */
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pS2 =  2.0121252537e-01, /* 0x3e4e0aa8 */
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pS3 = -4.0055535734e-02, /* 0xbd241146 */
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pS4 =  7.9153501429e-04, /* 0x3a4f7f04 */
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pS5 =  3.4793309169e-05, /* 0x3811ef08 */
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qS1 = -2.4033949375e+00, /* 0xc019d139 */
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qS2 =  2.0209457874e+00, /* 0x4001572d */
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qS3 = -6.8828397989e-01, /* 0xbf303361 */
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qS4 =  7.7038154006e-02; /* 0x3d9dc62e */
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EXPORT_C float __ieee754_acosf(float x)
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{
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	float z,p,q,r,w,s,c,df;
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	int32_t hx,ix;
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	GET_FLOAT_WORD(hx,x);
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	ix = hx&0x7fffffff;
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	if(ix==0x3f800000) {		/* |x|==1 */
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	    if(hx>0) return 0.0;	/* acos(1) = 0  */
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	    else return pi+(float)2.0*pio2_lo;	/* acos(-1)= pi */
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	} else if(ix>0x3f800000) {	/* |x| >= 1 */
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	    return (x-x)/(x-x);		/* acos(|x|>1) is NaN */
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	}
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	if(ix<0x3f000000) {	/* |x| < 0.5 */
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	    if(ix<=0x23000000) return pio2_hi+pio2_lo;/*if|x|<2**-57*/
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	    z = x*x;
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	    p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
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	    q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
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	    r = p/q;
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	    return pio2_hi - (x - (pio2_lo-x*r));
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	} else  if (hx<0) {		/* x < -0.5 */
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	    z = (one+x)*(float)0.5;
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	    p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
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	    q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
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	    s = __ieee754_sqrtf(z);
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	    r = p/q;
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	    w = r*s-pio2_lo;
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	    return pi - (float)2.0*(s+w);
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	} else {			/* x > 0.5 */
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	    int32_t idf;
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	    z = (one-x)*(float)0.5;
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	    s = __ieee754_sqrtf(z);
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	    df = s;
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	    GET_FLOAT_WORD(idf,df);
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	    SET_FLOAT_WORD(df,idf&0xfffff000);
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	    c  = (z-df*df)/(s+df);
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	    p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
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	    q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
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	    r = p/q;
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	    w = r*s+c;
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	    return (float)2.0*(df+w);
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	}
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}