/* s_asinhl.c -- long double version of s_asinh.c.

 * Conversion to long double by Ulrich Drepper,

 * Cygnus Support, drepper@cygnus.com.

 */

/*

 * ====================================================

 * 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.

 * ====================================================

 */

#if defined(LIBM_SCCS) && !defined(lint)

static char rcsid[] = "$NetBSD: $";

#endif

/* asinhl(x)

 * Method :

 *	Based on

 *		asinhl(x) = signl(x) * logl [ |x| + sqrtl(x*x+1) ]

 *	we have

 *	asinhl(x) := x  if  1+x*x=1,

 *		  := signl(x)*(logl(x)+ln2)) for large |x|, else

 *		  := signl(x)*logl(2|x|+1/(|x|+sqrtl(x*x+1))) if|x|>2, else

 *		  := signl(x)*log1pl(|x| + x^2/(1 + sqrtl(1+x^2)))

 */

#include <float.h>

#include <math.h>

#include <math_private.h>

#include <math-underflow.h>

#include <libm-alias-ldouble.h>

static const long double

one =  1.000000000000000000000e+00L, /* 0x3FFF, 0x00000000, 0x00000000 */

ln2 =  6.931471805599453094287e-01L, /* 0x3FFE, 0xB17217F7, 0xD1CF79AC */

huge=  1.000000000000000000e+4900L;

long double __asinhl(long double x)

{

	long double t,w;

	int32_t hx,ix;

	GET_LDOUBLE_EXP(hx,x);

	ix = hx&0x7fff;

	if(__builtin_expect(ix< 0x3fde, 0)) {	/* |x|<2**-34 */

	    math_check_force_underflow (x);

	    if(huge+x>one) return x;	/* return x inexact except 0 */

	}

	if(__builtin_expect(ix>0x4020,0)) {		/* |x| > 2**34 */

	    if(ix==0x7fff) return x+x;	/* x is inf or NaN */

	    w = __ieee754_logl(fabsl(x))+ln2;

	} else {

	    long double xa = fabsl(x);

	    if (ix>0x4000) {	/* 2**34 > |x| > 2.0 */

		w = __ieee754_logl(2.0*xa+one/(sqrtl(xa*xa+one)+xa));

	    } else {		/* 2.0 > |x| > 2**-28 */

		t = xa*xa;

		w =__log1pl(xa+t/(one+sqrtl(one+t)));

	    }

	}

	return __copysignl(w, x);

}

libm_alias_ldouble (__asinh, asinh)