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interpolation.hh File Reference

Interpolation functions. More...

#include <numeric/numeric.functions.hh>
#include <numeric/NumericTraits.hh>
#include <numeric/MathNTensor.hh>
#include <utility/assert.hh>
#include <utility/fixedsizearray1.hh>
#include <cmath>

Namespaces

 numeric
 Unit headers.
 
 numeric::interpolation
 

Functions

template<typename X , typename F >
numeric::interpolation::interpolated (X const &x, X const &x1, X const &x2, F const &f1, F const &f2)
 Linearly interpolated value: f( x ) More...
 
template<typename X , typename F >
numeric::interpolation::interpolated (X const &a, F const &f1, F const &f2)
 Linearly interpolated value: f( x ) More...
 
template<typename X , typename F >
numeric::interpolation::interpolated_delta (X const &a, F const &f1, F const &f2)
 Linearly interpolated delta value: f( x ) - f1. More...
 
template<typename X , typename Y , typename F >
numeric::interpolation::bilinearly_interpolated (X const &x, X const &x1, X const &x2, Y const &y, Y const &y1, Y const &y2, F const &f11, F const &f12, F const &f21, F const &f22)
 Bilinearly interpolated value: f( x, y ) More...
 
template<typename X , typename Y , typename F >
numeric::interpolation::bilinearly_interpolated (X const &ax, Y const &ay, F const &f11, F const &f12, F const &f21, F const &f22)
 Bilinearly interpolated value. More...
 
template<typename X , typename Y , typename F >
numeric::interpolation::bilinearly_interpolated (X const &ax, Y const &ay, X const &bx, Y const &by, F const &f11, F const &f12, F const &f21, F const &f22)
 Bilinearly interpolated value. More...
 
template<typename T , numeric::Size N>
Real numeric::interpolation::multilinear_interpolation (MathNTensor< T, N > const &tensor, utility::fixedsizearray1< Real, N > const &minval, utility::fixedsizearray1< Real, N > const &binwidth, utility::fixedsizearray1< Real, N > const &xs, utility::fixedsizearray1< Real, N > &deriv, bool const &compute_deriv=true)
 Perform multilinear interpolation over an N-dimensional tensor, with derivatives. More...
 
template<typename T , numeric::Size N>
numeric::Real numeric::interpolation::multilinear_interpolation (numeric::MathNTensor< T, N > const &tensor, utility::fixedsizearray1< numeric::Real, N > const &minval, utility::fixedsizearray1< numeric::Real, N > const &binwidth, utility::fixedsizearray1< numeric::Real, N > const &xs)
 Perform multilinear interpolation over an N-dimensional tensor (without derivative computation) More...
 
template<Size N>
void numeric::interpolation::polycubic_interpolation (utility::fixedsizearray1< utility::fixedsizearray1< Real,(1<< N) >,(1<< N) > n_derivs, utility::fixedsizearray1< Real, N > dbbp, utility::fixedsizearray1< Real, N > binwbb, Real &val, utility::fixedsizearray1< Real, N > &dvaldbb)
 Perform cubic interpolation over each of N axes, using the 2^N derivatives at 2^N gridpoints. More...
 

Detailed Description

Interpolation functions.

Author
Stuart G. Mentzer (Stuar.nosp@m.t_Me.nosp@m.ntzer.nosp@m.@obj.nosp@m.exx.c.nosp@m.om)