Public Member Functions | Protected Attributes | Private Member Functions | List of all members
o2scl::interp2_base< vec_t, mat_t > Class Template Referenceabstract

Two-dimensional interpolation base class [abstract]. More...

#include <interp2.h>

Inheritance diagram for o2scl::interp2_base< vec_t, mat_t >:
o2scl::interp2_direct< vec_t, mat_t, mat_row_t, mat_column_t > o2scl::interp2_seq< vec_t, mat_t, mat_row_t >

Public Member Functions

virtual double eval (double x, double y) const =0
 Perform the 2-d interpolation.
 
virtual double operator() (double x, double y) const
 Perform the 2-d interpolation.
 
virtual double deriv_x (double x, double y) const =0
 Compute the partial derivative in the x-direction.
 
virtual double deriv_xx (double x, double y) const =0
 Compute the partial second derivative in the x-direction.
 
virtual double integ_x (double x0, double x1, double y) const =0
 Compute the integral in the x-direction between x=x0 and x=x1.
 
virtual double deriv_y (double x, double y) const =0
 Compute the partial derivative in the y-direction.
 
virtual double deriv_yy (double x, double y) const =0
 Compute the partial second derivative in the y-direction.
 
virtual double integ_y (double x, double y0, double y1) const =0
 Compute the integral in the y-direction between y=y0 and y=y1.
 
virtual double deriv_xy (double x, double y) const =0
 Compute the mixed partial derivative $ \frac{\partial^2 f}{\partial x \partial y} $.
 
virtual double eval_gen (int ix, int iy, double x0, double x1, double y0, double y1) const =0
 Compute a general interpolation result. More...
 

Protected Attributes

size_t nx
 The number of x grid points.
 
size_t ny
 The number of y grid points.
 
vec_t * xfun
 The x grid.
 
vec_t * yfun
 The y grid.
 
mat_t * datap
 The data.
 

Private Member Functions

 interp2_base (const interp2_base< vec_t, mat_t > &)
 
interp2_base< vec_t, mat_t > & operator= (const interp2_base< vec_t, mat_t > &)
 

Detailed Description

template<class vec_t = boost::numeric::ublas::vector<double>, class mat_t = boost::numeric::ublas::matrix<double>>
class o2scl::interp2_base< vec_t, mat_t >

Definition at line 40 of file interp2.h.

Member Function Documentation

◆ eval_gen()

template<class vec_t = boost::numeric::ublas::vector<double>, class mat_t = boost::numeric::ublas::matrix<double>>
virtual double o2scl::interp2_base< vec_t, mat_t >::eval_gen ( int  ix,
int  iy,
double  x0,
double  x1,
double  y0,
double  y1 
) const
pure virtual

This computes

\[ \frac{\partial^m}{\partial x^m} \frac{\partial^n}{\partial y^n} f(x,y) \]

for $ m \in (-1,0,1,2) $ and $ n \in (-1,0,1,2) $ with the notation

\begin{eqnarray*} \frac{\partial^{-1}}{\partial x^{-1}} &\equiv & \int_{x_0}^{x_1} f~dx \nonumber \\ \frac{\partial^0}{\partial x^0} &\equiv & \left.f\right|_{x=x_0} \nonumber \\ \frac{\partial^1}{\partial x^1} &\equiv & \left(\frac{\partial f}{\partial x}\right)_{x=x_0} \nonumber \\ \frac{\partial^2}{\partial x^2} &\equiv & \left(\frac{\partial^2 f}{\partial x^2}\right)_{x=x_0} \end{eqnarray*}

and the value of $ x_1 $ is ignored when $ m \geq 0 $ and the value of $ y_1 $ is ignored when $ n \geq 0 $.

Implemented in o2scl::interp2_direct< vec_t, mat_t, mat_row_t, mat_column_t >, and o2scl::interp2_seq< vec_t, mat_t, mat_row_t >.


The documentation for this class was generated from the following file:

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