interpolation.hpp
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00001 
00005 /* Copyright (c) 2005-2011 Taneli Kalvas. All rights reserved.
00006  *
00007  * You can redistribute this software and/or modify it under the terms
00008  * of the GNU General Public License as published by the Free Software
00009  * Foundation; either version 2 of the License, or (at your option)
00010  * any later version.
00011  * 
00012  * This library is distributed in the hope that it will be useful, but
00013  * WITHOUT ANY WARRANTY; without even the implied warranty of
00014  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
00015  * General Public License for more details.
00016  * 
00017  * You should have received a copy of the GNU General Public License
00018  * along with this library (file "COPYING" included in the package);
00019  * if not, write to the Free Software Foundation, Inc., 51 Franklin
00020  * Street, Fifth Floor, Boston, MA 02110-1301 USA
00021  * 
00022  * If you have questions about your rights to use or distribute this
00023  * software, please contact Berkeley Lab's Technology Transfer
00024  * Department at TTD@lbl.gov. Other questions, comments and bug
00025  * reports should be sent directly to the author via email at
00026  * taneli.kalvas@jyu.fi.
00027  * 
00028  * NOTICE. This software was developed under partial funding from the
00029  * U.S.  Department of Energy.  As such, the U.S. Government has been
00030  * granted for itself and others acting on its behalf a paid-up,
00031  * nonexclusive, irrevocable, worldwide license in the Software to
00032  * reproduce, prepare derivative works, and perform publicly and
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00034  * permission to assert copyright is obtained from the U.S. Department
00035  * of Energy, and subject to any subsequent five (5) year renewals,
00036  * the U.S. Government is granted for itself and others acting on its
00037  * behalf a paid-up, nonexclusive, irrevocable, worldwide license in
00038  * the Software to reproduce, prepare derivative works, distribute
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00040  * permit others to do so.
00041  */
00042 
00043 #ifndef INTERPOLATION_HPP
00044 #define INTERPOLATION_HPP 1
00045 
00046 
00047 #include <vector>
00048 #include <cstddef>
00049 
00050 
00056 class Interpolation2D
00057 {
00058 protected:
00059 
00060     size_t                    _n;    
00061     size_t                    _m;    
00062     std::vector<double>       _f;    
00069     Interpolation2D( size_t n, size_t m, const std::vector<double> &f );
00070 
00071     const double &__f( int i, int j ) const;
00072     double &__f( int i, int j );
00073 
00074 public:
00075 
00078     virtual ~Interpolation2D() {}
00079 
00085     virtual double operator()( double x, double y ) const = 0;
00086 };
00087 
00088 
00094 class ClosestInterpolation2D : public Interpolation2D
00095 {
00096 
00097 public:
00098 
00101     ClosestInterpolation2D( size_t n, size_t m, const std::vector<double> &f );
00102 
00105     virtual ~ClosestInterpolation2D() {}
00106 
00112     virtual double operator()( double x, double y ) const;
00113 };
00114 
00115 
00118 class BiLinearInterpolation2D : public Interpolation2D
00119 {
00120 
00121 public:
00122 
00125     BiLinearInterpolation2D( size_t n, size_t m, const std::vector<double> &f );
00126 
00129     virtual ~BiLinearInterpolation2D() {}
00130 
00136     virtual double operator()( double x, double y ) const;
00137 };
00138 
00139 
00145 class BiCubicInterpolation2D : public Interpolation2D
00146 {
00147 
00148     std::vector<double>       _fx;   
00149     std::vector<double>       _fy;   
00150     std::vector<double>       _fxy;  
00151     std::vector<double>       _c;    
00156     const double &__fx( int i, int j ) const;
00157     const double &__fy( int i, int j ) const;
00158     const double &__fxy( int i, int j ) const;
00159 
00160     double &__fx( int i, int j );
00161     double &__fy( int i, int j );
00162     double &__fxy( int i, int j );
00163 
00164     static void calc_coefs( double *c, double *x );
00165     static const double wt[16][16];
00166 
00167 public:
00168 
00171     BiCubicInterpolation2D( size_t n, size_t m, const std::vector<double> &f );
00172 
00175     virtual ~BiCubicInterpolation2D() {}
00176 
00182     virtual double operator()( double x, double y ) const;
00183 };
00184 
00185 
00186 #endif
00187