simplex.h

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00001 // -*- C++ -*-
00002 
00008 #if !defined(__numerical_interpolation_simplex_h__)
00009 #define __numerical_interpolation_simplex_h__
00010 
00011 #include "../defs.h"
00012 
00013 #include "../../ads/array/FixedArray.h"
00014 
00015 BEGIN_NAMESPACE_NUMERICAL
00016 
00046 
00047 
00065 template <int N, int M, typename T, typename F>
00066 const F&
00067 linear_interpolation( const ads::FixedArray< M+1, ads::FixedArray<N,T> >& 
00068                       positions,
00069                       const ads::FixedArray< M+1, F >& values,
00070                       const ads::FixedArray<N,T>& location );
00071 
00072 //
00073 // 1-D simplex.
00074 //
00075 
00077 
00078 template <typename T, typename F>
00079 const F&
00080 linear_interpolation( const T a, T b, const F& alpha, const F& beta, T x );
00081 
00083 
00084 template <typename T, typename F>
00085 inline
00086 const F&
00087 linear_interpolation( const ads::FixedArray< 2, T >& positions,
00088                       const ads::FixedArray< 2, F >& values,
00089                       const T location )
00090 {
00091   return linear_interpolation( positions[0], positions[1], 
00092                                values[0], values[1], location );
00093 }
00094 
00096 
00097 template <typename T, typename F>
00098 const F&
00099 linear_interpolation( const ads::FixedArray<2,T>& a, 
00100                       const ads::FixedArray<2,T>& b, 
00101                       const F& alpha, const F& beta,
00102                       const ads::FixedArray<2,T>& x );
00103 
00104 
00105 
00106 //
00107 // 2-D simplex.
00108 //
00109 
00111 
00112 template <typename T, typename F>
00113 const F&
00114 linear_interpolation( const ads::FixedArray<2,T>& a,
00115                       const ads::FixedArray<2,T>& b,
00116                       const ads::FixedArray<2,T>& c,
00117                       const F& alpha, const F& beta, const F& gamma,
00118                       const ads::FixedArray<2,T>& x );
00119 
00121 
00122 template <typename T, typename F>
00123 const F&
00124 linear_interpolation( const ads::FixedArray<3,T>& a, 
00125                       const ads::FixedArray<3,T>& b, 
00126                       const ads::FixedArray<3,T>& c, 
00127                       const F& alpha, const F& beta, const F& gamma,
00128                       const ads::FixedArray<3,T>& x );
00129 
00130 
00131 
00132 //
00133 // 3-D simplex.
00134 //
00135 
00137 
00138 template <typename T, typename F>
00139 const F&
00140 linear_interpolation( const ads::FixedArray<3,T>& a,
00141                       const ads::FixedArray<3,T>& b,
00142                       const ads::FixedArray<3,T>& c,
00143                       const ads::FixedArray<3,T>& d,
00144                       const F& alpha, const F& beta, 
00145                       const F& gamma, const F& delta,
00146                       const ads::FixedArray<3,T>& x );
00147 
00148 END_NAMESPACE_NUMERICAL
00149 
00150 #define __numerical_interpolation_simplex_ipp__
00151 #include "simplex.ipp"
00152 #undef __numerical_interpolation_simplex_ipp__
00153 
00154 #endif
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