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 
22 static const float
23 one =  1.0000000000e+00, /* 0x3F800000 */
24 ln2 =  6.9314718246e-01, /* 0x3f317218 */
25 huge=  1.0000000000e+30;
26 
27 float
asinhf(float x)28 asinhf(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