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/*******************************************************************************
* mathutil.cpp
*
* This module implements the utility functions for scalar math.
*
* ---------------------------------------------------------------------------
* Persistence of Vision Ray Tracer ('POV-Ray') version 3.7.
* Copyright 1991-2013 Persistence of Vision Raytracer Pty. Ltd.
*
* POV-Ray is free software: you can redistribute it and/or modify
* it under the terms of the GNU Affero General Public License as
* published by the Free Software Foundation, either version 3 of the
* License, or (at your option) any later version.
*
* POV-Ray is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
* ---------------------------------------------------------------------------
* POV-Ray is based on the popular DKB raytracer version 2.12.
* DKBTrace was originally written by David K. Buck.
* DKBTrace Ver 2.0-2.12 were written by David K. Buck & Aaron A. Collins.
* ---------------------------------------------------------------------------
* $File: //depot/public/povray/3.x/source/backend/math/mathutil.cpp $
* $Revision: #1 $
* $Change: 6069 $
* $DateTime: 2013/11/06 11:59:40 $
* $Author: chrisc $
*******************************************************************************/
#include <ctype.h>
#include <time.h>
#include <algorithm>
// frame.h must always be the first POV file included (pulls in platform config)
#include "backend/frame.h"
#include "backend/math/mathutil.h"
// this must be the last file included
#include "base/povdebug.h"
namespace pov
{
#ifdef NEED_INVHYP
DBL asinh(DBL x)
{
return (x < 0 ? -1 : (x > 0 ? 1 : 0)) * log(fabs(x) + sqrt(1 + x * x));
}
DBL acosh(DBL x)
{
if(x < 1.0)
return 0;
return log(x + sqrt(x * x - 1));
}
DBL atanh(DBL x)
{
if(fabs(x) >= 1)
return 0;
return 0.5 * log((1 + x) / (1 - x));
}
#endif
}
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