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