interpolation.hpp

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/* Copyright (c) 2005-2012,2014 Taneli Kalvas. All rights reserved.
 *
 * You can redistribute this software and/or modify it under the terms
 * of the GNU General Public License as published by the Free Software
 * Foundation; either version 2 of the License, or (at your option)
 * any later version.
 * 
 * This library 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 library (file "COPYING" included in the package);
 * if not, write to the Free Software Foundation, Inc., 51 Franklin
 * Street, Fifth Floor, Boston, MA 02110-1301 USA
 * 
 * If you have questions about your rights to use or distribute this
 * software, please contact Berkeley Lab's Technology Transfer
 * Department at TTD@lbl.gov. Other questions, comments and bug
 * reports should be sent directly to the author via email at
 * taneli.kalvas@jyu.fi.
 * 
 * NOTICE. This software was developed under partial funding from the
 * U.S.  Department of Energy.  As such, the U.S. Government has been
 * granted for itself and others acting on its behalf a paid-up,
 * nonexclusive, irrevocable, worldwide license in the Software to
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#ifndef INTERPOLATION_HPP
#define INTERPOLATION_HPP 1


#include <vector>
#include <cstddef>


class Interpolation2D
{
protected:

    size_t                    _n;    
    size_t                    _m;    
    std::vector<double>       _f;    
    Interpolation2D( size_t n, size_t m, const std::vector<double> &f );

    const double &__f( int i, int j ) const;
    double &__f( int i, int j );

public:

    virtual ~Interpolation2D() {}

    virtual double operator()( double x, double y ) const = 0;
};


class ClosestInterpolation2D : public Interpolation2D
{

public:

    ClosestInterpolation2D( size_t n, size_t m, const std::vector<double> &f );

    virtual ~ClosestInterpolation2D() {}

    virtual double operator()( double x, double y ) const;
};


class BiLinearInterpolation2D : public Interpolation2D
{

public:

    BiLinearInterpolation2D( size_t n, size_t m, const std::vector<double> &f );

    virtual ~BiLinearInterpolation2D() {}

    virtual double operator()( double x, double y ) const;
};


class BiCubicInterpolation2D : public Interpolation2D
{

    std::vector<double>       _fx;   
    std::vector<double>       _fy;   
    std::vector<double>       _fxy;  
    std::vector<double>       _c;    
    const double &__fx( int i, int j ) const;
    const double &__fy( int i, int j ) const;
    const double &__fxy( int i, int j ) const;

    double &__fx( int i, int j );
    double &__fy( int i, int j );
    double &__fxy( int i, int j );

    static void calc_coefs( double *c, double *x );
    static const double wt[16][16];

public:

    BiCubicInterpolation2D( size_t n, size_t m, const std::vector<double> &f );

    virtual ~BiCubicInterpolation2D() {}

    virtual double operator()( double x, double y ) const;
};


#endif