1/* s_asinhl.c -- long double version of s_asinh.c.
2 * Conversion to long double by Ulrich Drepper,
3 * Cygnus Support, drepper@cygnus.com.
4 */
5
6/*
7 * ====================================================
8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
9 *
10 * Developed at SunPro, a Sun Microsystems, Inc. business.
11 * Permission to use, copy, modify, and distribute this
12 * software is freely granted, provided that this notice
13 * is preserved.
14 * ====================================================
15 */
16
17#if defined(LIBM_SCCS) && !defined(lint)
18static char rcsid[] = "$NetBSD: $";
19#endif
20
21/* asinhl(x)
22 * Method :
23 * Based on
24 * asinhl(x) = signl(x) * logl [ |x| + sqrtl(x*x+1) ]
25 * we have
26 * asinhl(x) := x if 1+x*x=1,
27 * := signl(x)*(logl(x)+ln2)) for large |x|, else
28 * := signl(x)*logl(2|x|+1/(|x|+sqrtl(x*x+1))) if|x|>2, else
29 * := signl(x)*log1pl(|x| + x^2/(1 + sqrtl(1+x^2)))
30 */
31
32#include <float.h>
33#include <math.h>
34#include <math_private.h>
35#include <libm-alias-ldouble.h>
36
37static const long double
38one = 1.000000000000000000000e+00L, /* 0x3FFF, 0x00000000, 0x00000000 */
39ln2 = 6.931471805599453094287e-01L, /* 0x3FFE, 0xB17217F7, 0xD1CF79AC */
40huge= 1.000000000000000000e+4900L;
41
42long double __asinhl(long double x)
43{
44 long double t,w;
45 int32_t hx,ix;
46 GET_LDOUBLE_EXP(hx,x);
47 ix = hx&0x7fff;
48 if(__builtin_expect(ix< 0x3fde, 0)) { /* |x|<2**-34 */
49 math_check_force_underflow (x);
50 if(huge+x>one) return x; /* return x inexact except 0 */
51 }
52 if(__builtin_expect(ix>0x4020,0)) { /* |x| > 2**34 */
53 if(ix==0x7fff) return x+x; /* x is inf or NaN */
54 w = __ieee754_logl(fabsl(x))+ln2;
55 } else {
56 long double xa = fabsl(x);
57 if (ix>0x4000) { /* 2**34 > |x| > 2.0 */
58 w = __ieee754_logl(2.0*xa+one/(__ieee754_sqrtl(xa*xa+one)+xa));
59 } else { /* 2.0 > |x| > 2**-28 */
60 t = xa*xa;
61 w =__log1pl(xa+t/(one+__ieee754_sqrtl(one+t)));
62 }
63 }
64 return __copysignl(w, x);
65}
66libm_alias_ldouble (__asinh, asinh)
67