mirror of
git://sourceware.org/git/glibc.git
synced 2024-12-09 04:11:27 +08:00
0ac5ae2335
libm is now somewhat integrated with gcc's -ffinite-math-only option and lots of the wrapper functions have been optimized.
59 lines
1.7 KiB
C
59 lines
1.7 KiB
C
/* @(#)e_acosh.c 5.1 93/09/24 */
|
|
/*
|
|
* ====================================================
|
|
* 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.
|
|
* ====================================================
|
|
*/
|
|
|
|
/* __ieee754_acosh(x)
|
|
* Method :
|
|
* Based on
|
|
* acosh(x) = log [ x + sqrt(x*x-1) ]
|
|
* we have
|
|
* acosh(x) := log(x)+ln2, if x is large; else
|
|
* acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else
|
|
* acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1.
|
|
*
|
|
* Special cases:
|
|
* acosh(x) is NaN with signal if x<1.
|
|
* acosh(NaN) is NaN without signal.
|
|
*/
|
|
|
|
#include "math.h"
|
|
#include "math_private.h"
|
|
|
|
static const long double
|
|
one = 1.0L,
|
|
ln2 = 6.93147180559945286227e-01L; /* 0x3FE62E42, 0xFEFA39EF */
|
|
|
|
long double
|
|
__ieee754_acoshl(long double x)
|
|
{
|
|
long double t;
|
|
int64_t hx;
|
|
u_int64_t lx;
|
|
GET_LDOUBLE_WORDS64(hx,lx,x);
|
|
if(hx<0x3ff0000000000000LL) { /* x < 1 */
|
|
return (x-x)/(x-x);
|
|
} else if(hx >=0x41b0000000000000LL) { /* x > 2**28 */
|
|
if(hx >=0x7ff0000000000000LL) { /* x is inf of NaN */
|
|
return x+x;
|
|
} else
|
|
return __ieee754_logl(x)+ln2; /* acosh(huge)=log(2x) */
|
|
} else if (((hx-0x3ff0000000000000LL)|(lx&0x7fffffffffffffffLL))==0) {
|
|
return 0.0; /* acosh(1) = 0 */
|
|
} else if (hx > 0x4000000000000000LL) { /* 2**28 > x > 2 */
|
|
t=x*x;
|
|
return __ieee754_logl(2.0*x-one/(x+__ieee754_sqrtl(t-one)));
|
|
} else { /* 1<x<2 */
|
|
t = x-one;
|
|
return __log1p(t+__sqrtl(2.0*t+t*t));
|
|
}
|
|
}
|
|
strong_alias (__ieee754_acoshl, __acoshl_finite)
|