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 <sys/cdefs.h>
17__FBSDID("$FreeBSD$");
18
19#include "math.h"
20#include "math_private.h"
21
22static const float
23one =  1.0000000000e+00, /* 0x3F800000 */
24ln2 =  6.9314718246e-01, /* 0x3f317218 */
25huge=  1.0000000000e+30;
26
27float
28asinhf(float x)
29{
30	float t,w;
31	int32_t hx,ix;
32	GET_FLOAT_WORD(hx,x);
33	ix = hx&0x7fffffff;
34	if(ix>=0x7f800000) return x+x;	/* x is inf or NaN */
35	if(ix< 0x31800000) {	/* |x|<2**-28 */
36	    if(huge+x>one) return x;	/* return x inexact except 0 */
37	}
38	if(ix>0x4d800000) {	/* |x| > 2**28 */
39	    w = __ieee754_logf(fabsf(x))+ln2;
40	} else if (ix>0x40000000) {	/* 2**28 > |x| > 2.0 */
41	    t = fabsf(x);
42	    w = __ieee754_logf((float)2.0*t+one/(__ieee754_sqrtf(x*x+one)+t));
43	} else {		/* 2.0 > |x| > 2**-28 */
44	    t = x*x;
45	    w =log1pf(fabsf(x)+t/(one+__ieee754_sqrtf(one+t)));
46	}
47	if(hx>0) return w; else return -w;
48}
49