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#ifndef lint
17static char rcsid[] = "$FreeBSD: head/lib/msun/src/s_asinhf.c 97413 2002-05-28 18:15:04Z alfred $";
18#endif
19
20#include "math.h"
21#include "math_private.h"
22
23static const float
24one = 1.0000000000e+00, /* 0x3F800000 */
25ln2 = 6.9314718246e-01, /* 0x3f317218 */
26huge= 1.0000000000e+30;
27
28float
29asinhf(float x)
30{
31 float t,w;
32 int32_t hx,ix;
33 GET_FLOAT_WORD(hx,x);
34 ix = hx&0x7fffffff;
35 if(ix>=0x7f800000) return x+x; /* x is inf or NaN */
36 if(ix< 0x31800000) { /* |x|<2**-28 */
37 if(huge+x>one) return x; /* return x inexact except 0 */
38 }
39 if(ix>0x4d800000) { /* |x| > 2**28 */
40 w = __ieee754_logf(fabsf(x))+ln2;
41 } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */
42 t = fabsf(x);
43 w = __ieee754_logf((float)2.0*t+one/(__ieee754_sqrtf(x*x+one)+t));
44 } else { /* 2.0 > |x| > 2**-28 */
45 t = x*x;
46 w =log1pf(fabsf(x)+t/(one+__ieee754_sqrtf(one+t)));
47 }
48 if(hx>0) return w; else return -w;
49}