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 <float.h>
17#include <math.h>
18#include <math_private.h>
19#include <math-underflow.h>
20#include <libm-alias-float.h>
21
22static const float
23one = 1.0000000000e+00, /* 0x3F800000 */
24ln2 = 6.9314718246e-01, /* 0x3f317218 */
25huge= 1.0000000000e+30;
26
27float
28__asinhf(float x)
29{
30 float w;
31 int32_t hx,ix;
32 GET_FLOAT_WORD(hx,x);
33 ix = hx&0x7fffffff;
34 if(__builtin_expect(ix< 0x38000000, 0)) { /* |x|<2**-14 */
35 math_check_force_underflow (x);
36 if(huge+x>one) return x; /* return x inexact except 0 */
37 }
38 if(__builtin_expect(ix>0x47000000, 0)) { /* |x| > 2**14 */
39 if(ix>=0x7f800000) return x+x; /* x is inf or NaN */
40 w = __ieee754_logf(fabsf(x))+ln2;
41 } else {
42 float xa = fabsf(x);
43 if (ix>0x40000000) { /* 2**14 > |x| > 2.0 */
44 w = __ieee754_logf(2.0f*xa+one/(sqrtf(xa*xa+one)+xa));
45 } else { /* 2.0 > |x| > 2**-14 */
46 float t = xa*xa;
47 w =__log1pf(xa+t/(one+sqrtf(one+t)));
48 }
49 }
50 return __copysignf(w, x);
51}
52libm_alias_float (__asinh, asinh)
53