GCC Code Coverage Report
Directory: ./ Exec Total Coverage
File: lib/libm/src/s_asinh.c Lines: 14 15 93.3 %
Date: 2017-11-13 Branches: 9 12 75.0 %

Line Branch Exec Source
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/* @(#)s_asinh.c 5.1 93/09/24 */
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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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/* asinh(x)
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 * Method :
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 *	Based on
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 *		asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ]
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 *	we have
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 *	asinh(x) := x  if  1+x*x=1,
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 *		 := sign(x)*(log(x)+ln2)) for large |x|, else
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 *		 := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else
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 *		 := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2)))
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 */
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#include <float.h>
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#include <math.h>
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#include "math_private.h"
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static const double
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one =  1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
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ln2 =  6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
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huge=  1.00000000000000000000e+300;
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double
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asinh(double x)
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{
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	double t,w;
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	int32_t hx,ix;
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	GET_HIGH_WORD(hx,x);
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	ix = hx&0x7fffffff;
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	if(ix>=0x7ff00000) return x+x;	/* x is inf or NaN */
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	if(ix< 0x3e300000) {	/* |x|<2**-28 */
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	    if(huge+x>one) return x;	/* return x inexact except 0 */
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	}
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	if(ix>0x41b00000) {	/* |x| > 2**28 */
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	    w = log(fabs(x))+ln2;
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	} else if (ix>0x40000000) {	/* 2**28 > |x| > 2.0 */
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	    t = fabs(x);
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	    w = log(2.0*t+one/(sqrt(x*x+one)+t));
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	} else {		/* 2.0 > |x| > 2**-28 */
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	    t = x*x;
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	    w =log1p(fabs(x)+t/(one+sqrt(one+t)));
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	}
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	if(hx>0) return w; else return -w;
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}
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DEF_STD(asinh);
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LDBL_MAYBE_CLONE(asinh);