1/* s_asinhf.c -- float version of s_asinh.c.
2 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
3 */
4
5/*
6 * ====================================================
7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
8 *
9 * Developed at SunPro, a Sun Microsystems, Inc. business.
10 * Permission to use, copy, modify, and distribute this
11 * software is freely granted, provided that this notice
12 * is preserved.
13 * ====================================================
14 */
15
16#include "math.h"
17#include "math_private.h"
18
19static const float
20one =  1.0000000000e+00, /* 0x3F800000 */
21ln2 =  6.9314718246e-01, /* 0x3f317218 */
22huge=  1.0000000000e+30;
23
24float
25asinhf(float x)
26{
27	float t,w;
28	int32_t hx,ix;
29	GET_FLOAT_WORD(hx,x);
30	ix = hx&0x7fffffff;
31	if(ix>=0x7f800000) return x+x;	/* x is inf or NaN */
32	if(ix< 0x31800000) {	/* |x|<2**-28 */
33	    if(huge+x>one) return x;	/* return x inexact except 0 */
34	}
35	if(ix>0x4d800000) {	/* |x| > 2**28 */
36	    w = logf(fabsf(x))+ln2;
37	} else if (ix>0x40000000) {	/* 2**28 > |x| > 2.0 */
38	    t = fabsf(x);
39	    w = logf((float)2.0*t+one/(sqrtf(x*x+one)+t));
40	} else {		/* 2.0 > |x| > 2**-28 */
41	    t = x*x;
42	    w =log1pf(fabsf(x)+t/(one+sqrtf(one+t)));
43	}
44	if(hx>0) return w; else return -w;
45}
46