interpolation.hpp

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00001 
00005 /* Copyright (c) 2005-2010 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
00033  * display publicly.  Beginning five (5) years after the date
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
00039  * copies to the public, perform publicly and display publicly, and to
00040  * permit others to do so.
00041  */
00042 
00043 #ifndef INTERPOLATION_HPP
00044 #define INTERPOLATION_HPP 1
00045 
00046 #include <cstddef>
00047 #include <vector>
00048 
00049 
00055 class Interpolation2D
00056 {
00057 protected:
00058 
00059     size_t                    _n;    
00060     size_t                    _m;    
00061     std::vector<double>       _f;    
00068     Interpolation2D( size_t n, size_t m, const std::vector<double> &f );
00069 
00070     const double &__f( int i, int j ) const;
00071     double &__f( int i, int j );
00072 
00073 public:
00074 
00077     virtual ~Interpolation2D() {}
00078 
00084     virtual double operator()( double x, double y ) const = 0;
00085 };
00086 
00087 
00088 
00089 
00090 
00096 class ClosestInterpolation2D : public Interpolation2D
00097 {
00098 
00099 public:
00100 
00103     ClosestInterpolation2D( size_t n, size_t m, const std::vector<double> &f );
00104 
00107     virtual ~ClosestInterpolation2D() {}
00108 
00114     virtual double operator()( double x, double y ) const;
00115 };
00116 
00117 
00120 class BiLinearInterpolation2D : public Interpolation2D
00121 {
00122 
00123 public:
00124 
00127     BiLinearInterpolation2D( size_t n, size_t m, const std::vector<double> &f );
00128 
00131     virtual ~BiLinearInterpolation2D() {}
00132 
00138     virtual double operator()( double x, double y ) const;
00139 };
00140 
00141 
00142 
00143 
00144 
00150 class BiCubicInterpolation2D : public Interpolation2D
00151 {
00152 
00153     std::vector<double>       _fx;   
00154     std::vector<double>       _fy;   
00155     std::vector<double>       _fxy;  
00156     std::vector<double>       _c;    
00161     const double &__fx( int i, int j ) const;
00162     const double &__fy( int i, int j ) const;
00163     const double &__fxy( int i, int j ) const;
00164 
00165     double &__fx( int i, int j );
00166     double &__fy( int i, int j );
00167     double &__fxy( int i, int j );
00168 
00169     static void calc_coefs( double *c, double *x );
00170     static const double wt[16][16];
00171 
00172 public:
00173 
00176     BiCubicInterpolation2D( size_t n, size_t m, const std::vector<double> &f );
00177 
00180     virtual ~BiCubicInterpolation2D() {}
00181 
00187     virtual double operator()( double x, double y ) const;
00188 };
00189 
00190 
00191 #endif
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