-
Notifications
You must be signed in to change notification settings - Fork 0
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
asinh implmentation for 128-bit long doubles.
- Loading branch information
Andreas Jaeger
committed
Jun 29, 2001
1 parent
da1375b
commit 1573f84
Showing
1 changed file
with
87 additions
and
0 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,87 @@ | ||
/* s_asinhl.c -- long double version of s_asinh.c. | ||
* Conversion to long double by Ulrich Drepper, | ||
* Cygnus Support, drepper@cygnus.com. | ||
*/ | ||
|
||
/* | ||
* ==================================================== | ||
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. | ||
* | ||
* Developed at SunPro, a Sun Microsystems, Inc. business. | ||
* Permission to use, copy, modify, and distribute this | ||
* software is freely granted, provided that this notice | ||
* is preserved. | ||
* ==================================================== | ||
*/ | ||
|
||
#if defined(LIBM_SCCS) && !defined(lint) | ||
static char rcsid[] = "$NetBSD: $"; | ||
#endif | ||
|
||
/* asinhl(x) | ||
* Method : | ||
* Based on | ||
* asinhl(x) = signl(x) * logl [ |x| + sqrtl(x*x+1) ] | ||
* we have | ||
* asinhl(x) := x if 1+x*x=1, | ||
* := signl(x)*(logl(x)+ln2)) for large |x|, else | ||
* := signl(x)*logl(2|x|+1/(|x|+sqrtl(x*x+1))) if|x|>2, else | ||
* := signl(x)*log1pl(|x| + x^2/(1 + sqrtl(1+x^2))) | ||
*/ | ||
|
||
#include "math.h" | ||
#include "math_private.h" | ||
|
||
#ifdef __STDC__ | ||
static const long double | ||
#else | ||
static long double | ||
#endif | ||
one = 1.0L, | ||
ln2 = 6.931471805599453094172321214581765681e-1L, | ||
huge = 1.0e+4900L; | ||
|
||
#ifdef __STDC__ | ||
long double | ||
__asinhl (long double x) | ||
#else | ||
long double | ||
__asinhl (x) | ||
long double x; | ||
#endif | ||
{ | ||
long double t, w; | ||
int32_t ix, sign; | ||
ieee854_long_double_shape_type u; | ||
|
||
u.value = x; | ||
sign = u.parts32.w0; | ||
ix = sign & 0x7fffffff; | ||
if (ix == 0x7fff0000) | ||
return x + x; /* x is inf or NaN */ | ||
if (ix < 0x3fc70000) | ||
{ /* |x| < 2^ -56 */ | ||
if (huge + x > one) | ||
return x; /* return x inexact except 0 */ | ||
} | ||
u.parts32.w0 = ix; | ||
if (ix > 0x40350000) | ||
{ /* |x| > 2 ^ 54 */ | ||
w = __ieee754_logl (u.value) + ln2; | ||
} | ||
else if (ix >0x40000000) | ||
{ /* 2^ 54 > |x| > 2.0 */ | ||
t = u.value; | ||
w = __ieee754_logl (2.0 * t + one / (__ieee754_sqrtl (x * x + one) + t)); | ||
} | ||
else | ||
{ /* 2.0 > |x| > 2 ^ -56 */ | ||
t = x * x; | ||
w = __log1pl (u.value + t / (one + __ieee754_sqrtl (one + t))); | ||
} | ||
if (sign & 0x80000000) | ||
return -w; | ||
else | ||
return w; | ||
} | ||
weak_alias (__asinhl, asinhl) |