/* sf_asinh.c -- float version of s_asinh.c.
 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@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.
 * ====================================================
 */

#include "fdlibm.h"

static const float one = 1.0000000000e+00, /* 0x3F800000 */
    ln2 = 6.9314718246e-01, /* 0x3f317218 */
    huge = 1.0000000000e+30;

float
asinhf(float x)
{
    float t, w;
    __int32_t hx, ix;
    GET_FLOAT_WORD(hx, x);
    ix = hx & 0x7fffffff;
    if (!FLT_UWORD_IS_FINITE(ix))
        return x + x; /* x is inf or NaN */
    if (ix < 0x31800000) { /* |x|<2**-28 */
        if (huge + x > one)
            return x; /* return x inexact except 0 */
    }
    if (ix > 0x4d800000) { /* |x| > 2**28 */
        w = logf(fabsf(x)) + ln2;
    } else if (ix > 0x40000000) { /* 2**28 > |x| > 2.0 */
        t = fabsf(x);
        w = logf((float)2.0 * t + one / (sqrtf(x * x + one) + t));
    } else { /* 2.0 > |x| > 2**-28 */
        t = x * x;
        w = log1pf(fabsf(x) + t / (one + sqrtf(one + t)));
    }
    if (hx > 0)
        return w;
    else
        return -w;
}

_MATH_ALIAS_f_f(asinh)
