/* -*- Mode: C; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 4 -*-
 *
 * The contents of this file are subject to the Netscape Public
 * License Version 1.1 (the "License"); you may not use this file
 * except in compliance with the License. You may obtain a copy of
 * the License at http://www.mozilla.org/NPL/
 *
 * Software distributed under the License is distributed on an "AS
 * IS" basis, WITHOUT WARRANTY OF ANY KIND, either express oqr
 * implied. See the License for the specific language governing
 * rights and limitations under the License.
 *
 * The Original Code is Mozilla Communicator client code, released
 * March 31, 1998.
 *
 * The Initial Developer of the Original Code is Sun Microsystems,
 * Inc.  Portions created by Netscape are
 * Copyright (C) 1998 Netscape Communications Corporation. All
 * Rights Reserved.
 *
 * Contributor(s): 
 *
 * Alternatively, the contents of this file may be used under the
 * terms of the GNU Public License (the "GPL"), in which case the
 * provisions of the GPL are applicable instead of those above.
 * If you wish to allow use of your version of this file only
 * under the terms of the GPL and not to allow others to use your
 * version of this file under the NPL, indicate your decision by
 * deleting the provisions above and replace them with the notice
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 * the provisions above, a recipient may use your version of this
 * file under either the NPL or the GPL.
 */

/* @(#)e_atanh.c 1.3 95/01/18 */
/*
 * ====================================================
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
 *
 * Developed at SunSoft, a Sun Microsystems, Inc. business.
 * Permission to use, copy, modify, and distribute this
 * software is freely granted, provided that this notice 
 * is preserved.
 * ====================================================
 *
 */

/* __ieee754_atanh(x)
 * Method :
 *    1.Reduced x to positive by atanh(-x) = -atanh(x)
 *    2.For x>=0.5
 *                  1              2x                          x
 *	atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
 *                  2             1 - x                      1 - x
 *	
 * 	For x<0.5
 *	atanh(x) = 0.5*log1p(2x+2x*x/(1-x))
 *
 * Special cases:
 *	atanh(x) is NaN if |x| > 1 with signal;
 *	atanh(NaN) is that NaN with no signal;
 *	atanh(+-1) is +-INF with signal.
 *
 */

#include "fdlibm.h"

#ifdef __STDC__
static const double one = 1.0, really_big = 1e300;
#else
static double one = 1.0, really_big = 1e300;
#endif

static double zero = 0.0;

#ifdef __STDC__
	double __ieee754_atanh(double x)
#else
	double __ieee754_atanh(x)
	double x;
#endif
{
	double t;
	int hx,ix;
	unsigned lx;
        fd_twoints u;
        u.d = x;
	hx = __HI(u);		/* high word */
	lx = __LO(u);		/* low word */
	ix = hx&0x7fffffff;
	if ((ix|((lx|(-(int)lx))>>31))>0x3ff00000) /* |x|>1 */
	    return (x-x)/(x-x);
	if(ix==0x3ff00000) 
	    return x/zero;
	if(ix<0x3e300000&&(really_big+x)>zero) return x;	/* x<2**-28 */
        u.d = x;
	__HI(u) = ix;		/* x <- |x| */
        x = u.d;
	if(ix<0x3fe00000) {		/* x < 0.5 */
	    t = x+x;
	    t = 0.5*fd_log1p(t+t*x/(one-x));
	} else 
	    t = 0.5*fd_log1p((x+x)/(one-x));
	if(hx>=0) return t; else return -t;
}