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 |
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 | |