OpenLibm/ld128/e_atanhl.c
Ed Schouten 7e5585aaca Rename openlibm.h to openlibm_math.h.
This is a bit more consistent with the naming of the other header files
(openlibm_complex.h and openlibm_fenv.h). Re-add an openlibm.h header
that includes all of the public headers as a shorthand.

Fix up all of the source files to include <openlibm_math.h> instead of
<openlibm.h>. While there, fix ordering of the includes.
2015-01-11 23:37:01 +01:00

65 lines
1.6 KiB
C

/* @(#)e_atanh.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.
* ====================================================
*/
/* atanhl(x)
* Method :
* 1.Reduced x to positive by atanh(-x) = -atanh(x)
* 2.For x>=0.5
* 1 2x x
* atanhl(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
* 2 1 - x 1 - x
*
* For x<0.5
* atanhl(x) = 0.5*log1pl(2x+2x*x/(1-x))
*
* Special cases:
* atanhl(x) is NaN if |x| > 1 with signal;
* atanhl(NaN) is that NaN with no signal;
* atanhl(+-1) is +-INF with signal.
*
*/
#include <openlibm_math.h>
#include "math_private.h"
static const long double one = 1.0L, huge = 1e4900L;
static const long double zero = 0.0L;
long double
atanhl(long double x)
{
long double t;
u_int32_t jx, ix;
ieee_quad_shape_type u;
u.value = x;
jx = u.parts32.mswhi;
ix = jx & 0x7fffffff;
u.parts32.mswhi = ix;
if (ix >= 0x3fff0000) /* |x| >= 1.0 or infinity or NaN */
{
if (u.value == one)
return x/zero;
else
return (x-x)/(x-x);
}
if(ix<0x3fc60000 && (huge+x)>zero) return x; /* x < 2^-57 */
if(ix<0x3ffe0000) { /* x < 0.5 */
t = u.value+u.value;
t = 0.5*log1pl(t+t*u.value/(one-u.value));
} else
t = 0.5*log1pl((u.value+u.value)/(one-u.value));
if(jx & 0x80000000) return -t; else return t;
}