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/* $OpenBSD: etanh.c,v 1.1 2011/07/02 18:11:01 martynas Exp $ */
/*
* Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
*
* Permission to use, copy, modify, and distribute this software for any
* purpose with or without fee is hereby granted, provided that the above
* copyright notice and this permission notice appear in all copies.
*
* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
* ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
* ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
* OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
/* xtanh.c */
/* hyperbolic tangent check routine */
/* this subroutine is used by the exponential function routine */
/* by Stephen L. Moshier. */
#include "ehead.h"
void etanh( x, y )
unsigned short *x, *y;
{
unsigned short e[NE], r[NE], j[NE], xx[NE], m2[NE];
short i, n;
long lj;
emov( x, r );
r[NE-1] &= (unsigned short )0x7fff;
if( ecmp(r, eone) >= 0 )
{
/* tanh(x) = (exp(x) - exp(-x)) / (exp(x) + exp(-x))
* Note eexp() calls xtanh, but with an argument less than (1 + log 2)/2.
*/
eexp( r, e );
ediv( e, eone, r );
esub( r, e, xx );
eadd( r, e, j );
ediv( j, xx, y );
return;
}
emov( etwo, m2 );
eneg( m2 );
n = NBITS/8; /* Number of terms to do in the continued fraction */
lj = 2 * n + 1;
ltoe( &lj, j );
emov( j, e );
emul( x, x, xx );
/* continued fraction */
for( i=0; i<n; i++)
{
ediv( e, xx, r );
eadd( m2, j, j );
eadd( r, j, e );
}
ediv( e, x, y );
}
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