1 /* s_asinhf.c -- float version of s_asinh.c.
2 */
3
4 /*
5 * ====================================================
6 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
7 *
8 * Developed at SunPro, a Sun Microsystems, Inc. business.
9 * Permission to use, copy, modify, and distribute this
10 * software is freely granted, provided that this notice
11 * is preserved.
12 * ====================================================
13 */
14
15 #include <float.h>
16 #include <math.h>
17 #include <math_private.h>
18 #include <math-underflow.h>
19 #include <libm-alias-float.h>
20
21 static const float
22 one = 1.0000000000e+00, /* 0x3F800000 */
23 ln2 = 6.9314718246e-01, /* 0x3f317218 */
24 huge= 1.0000000000e+30;
25
26 float
__asinhf(float x)27 __asinhf(float x)
28 {
29 float w;
30 int32_t hx,ix;
31 GET_FLOAT_WORD(hx,x);
32 ix = hx&0x7fffffff;
33 if(__builtin_expect(ix< 0x38000000, 0)) { /* |x|<2**-14 */
34 math_check_force_underflow (x);
35 if(huge+x>one) return x; /* return x inexact except 0 */
36 }
37 if(__builtin_expect(ix>0x47000000, 0)) { /* |x| > 2**14 */
38 if(ix>=0x7f800000) return x+x; /* x is inf or NaN */
39 w = __ieee754_logf(fabsf(x))+ln2;
40 } else {
41 float xa = fabsf(x);
42 if (ix>0x40000000) { /* 2**14 > |x| > 2.0 */
43 w = __ieee754_logf(2.0f*xa+one/(sqrtf(xa*xa+one)+xa));
44 } else { /* 2.0 > |x| > 2**-14 */
45 float t = xa*xa;
46 w =__log1pf(xa+t/(one+sqrtf(one+t)));
47 }
48 }
49 return copysignf(w, x);
50 }
51 libm_alias_float (__asinh, asinh)
52