mirror of
https://sourceware.org/git/glibc.git
synced 2024-12-04 19:00:09 +00:00
61 lines
1.7 KiB
C
61 lines
1.7 KiB
C
/* @(#)s_asinh.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.
|
|
* ====================================================
|
|
*/
|
|
|
|
/* asinh(x)
|
|
* Method :
|
|
* Based on
|
|
* asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ]
|
|
* we have
|
|
* asinh(x) := x if 1+x*x=1,
|
|
* := sign(x)*(log(x)+ln2)) for large |x|, else
|
|
* := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else
|
|
* := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2)))
|
|
*/
|
|
|
|
#include <math.h>
|
|
#include <math_private.h>
|
|
|
|
static const double
|
|
one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
|
|
ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
|
|
huge= 1.00000000000000000000e+300;
|
|
|
|
double
|
|
__asinh(double x)
|
|
{
|
|
double w;
|
|
int32_t hx,ix;
|
|
GET_HIGH_WORD(hx,x);
|
|
ix = hx&0x7fffffff;
|
|
if(__builtin_expect(ix< 0x3e300000, 0)) { /* |x|<2**-28 */
|
|
if(huge+x>one) return x; /* return x inexact except 0 */
|
|
}
|
|
if(__builtin_expect(ix>0x41b00000, 0)) { /* |x| > 2**28 */
|
|
if(ix>=0x7ff00000) return x+x; /* x is inf or NaN */
|
|
w = __ieee754_log(fabs(x))+ln2;
|
|
} else {
|
|
double xa = fabs(x);
|
|
if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */
|
|
w = __ieee754_log(2.0*xa+one/(__ieee754_sqrt(xa*xa+one)+xa));
|
|
} else { /* 2.0 > |x| > 2**-28 */
|
|
double t = xa*xa;
|
|
w =__log1p(xa+t/(one+__ieee754_sqrt(one+t)));
|
|
}
|
|
}
|
|
return __copysign(w, x);
|
|
}
|
|
weak_alias (__asinh, asinh)
|
|
#ifdef NO_LONG_DOUBLE
|
|
strong_alias (__asinh, __asinhl)
|
|
weak_alias (__asinh, asinhl)
|
|
#endif
|