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// This file is part of ff3d - http://www.freefem.org/ff3d
// Copyright (C) 2007 Driss Yakoubi
// This program is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 2, or (at your option)
// any later version.
// This program 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 General Public License for more details.
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software Foundation,
// Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
// $Id: SpectralConformTransformation.hpp,v 1.1 2007/04/29 19:20:35 yakoubix Exp $
#ifndef SPECTRAL_CONFORM_TRANSFORMATION_HPP
#define SPECTRAL_CONFORM_TRANSFORMATION_HPP
#include <Types.hpp>
#include <Interval.hpp>
/**
* @file SpectralConformTransformation.hpp
* @author Dris Yakoubi
* @date Sun Apr 29 20:56:03 2007
*
* @brief 1D affine transformation @f$ T : (-1,1) \mapsto (a,b)@f$
*
*/
class SpectralConformTransformation
{
private:
const Interval __interval; /**< interval @f$(a,b)@$ */
/**
* Forbidden copy constructor
*
*/
SpectralConformTransformation (const SpectralConformTransformation&);
public:
/**
* Computes @f$ T(x) @f$
*
* @return @f$ T(x) @f$
*/
real_t operator()(const real_t& x) const;
/**
* Computes @f$ T^{-1}(x) @f$
*
* @return @f$ T^{-1}(x) @f$
*/
real_t inverse(const real_t& x) const;
/**
* Computes the determinent of the Jacobian of the inverse
* transformation
*
* @return @f$ \frac{2}{b-a} @f$
*/
real_t inverseDeterminant() const;
/**
* Constructor
*
* @param interval @f$ (a,b) @f$
*/
SpectralConformTransformation(const Interval& interval);
/**
* Destructor
*
*/
~SpectralConformTransformation();
};
#endif // SPECTRAL_CONFORM_TRANSFORMATION_HPP
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