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.
7 * ====================================================
8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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
14 * ====================================================
17 #if defined(LIBM_SCCS) && !defined(lint)
18 static char rcsid
[] = "$NetBSD: $";
24 * asinhl(x) = signl(x) * logl [ |x| + sqrtl(x*x+1) ]
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)))
33 #include "math_private.h"
36 static const long double
40 one
= 1.000000000000000000000e+00L, /* 0x3FFF, 0x00000000, 0x00000000 */
41 ln2
= 6.931471805599453094287e-01L, /* 0x3FFE, 0xB17217F7, 0xD1CF79AC */
42 huge
= 1.000000000000000000e+4900L;
45 long double __asinhl(long double x
)
47 long double __asinhl(x
)
53 GET_LDOUBLE_EXP(hx
,x
);
55 if(ix
==0x7fff) return x
+x
; /* x is inf or NaN */
56 if(ix
< 0x3fde) { /* |x|<2**-34 */
57 if(huge
+x
>one
) return x
; /* return x inexact except 0 */
59 if(ix
>0x4020) { /* |x| > 2**34 */
60 w
= __ieee754_logl(fabsl(x
))+ln2
;
61 } else if (ix
>0x4000) { /* 2**34 > |x| > 2.0 */
63 w
= __ieee754_logl(2.0*t
+one
/(__ieee754_sqrtl(x
*x
+one
)+t
));
64 } else { /* 2.0 > |x| > 2**-28 */
66 w
=__log1pl(fabsl(x
)+t
/(one
+__ieee754_sqrtl(one
+t
)));
68 if(hx
&0x8000) return -w
; else return w
;
70 weak_alias (__asinhl
, asinhl
)