Class implements the cubic local interpolation technique. More...

#include <cubicInterpolation.hpp>

Inheritance diagram for julian::CubicInterpolation:

Public Member Functions
virtual double	operator() (const std::vector< double > &, const std::vector< double > &, const double &) const
	Performs interpolation. More...

virtual CubicInterpolation *	clone () const
	Virtual copy constructor. More...

virtual std::string	info () const
	Name of a class. More...

virtual unsigned int	getMinSize () const
	return the minimum number of points required by the interpolation More...

Public Member Functions inherited from julian::Interpolation
	Interpolation ()
	Constructor. More...

virtual	~Interpolation ()
	Destructor. More...

Private Member Functions
template<class Archive >
void	serialize (Archive &, const unsigned int)
	interface used by Boost serialization library More...

Friends
class	boost::serialization::access

Detailed Description

Class implements the cubic local interpolation technique.

The idea of linear interpolation of set of point is to approximate value $y$ at a point $x$ by a line passing through two data points $(x_j,y_j)$ and $(x_{j+1},y_{j+1})$ closest to $(x,y)$ . The formula for cubic interpolation is:

$y = y_j + \frac{y_{j+1} - y_j}{x_{j+1}^3 - x_j^3} (x^3-x_j^3)$

Precondition: x vector must be sorted.

Note: Interpolation is only defined for interval defined by the first and the last argument given. The interpolation objects do not extrapolate values outside the interval.

Examples:: interpolationExample.cpp.

Member Function Documentation

CubicInterpolation * julian::CubicInterpolation::clone ( ) const

virtual

Virtual copy constructor.

Method is an implementation of virtual copy constructor.

Implements julian::Interpolation.

int unsigned julian::CubicInterpolation::getMinSize ( ) const

virtual

return the minimum number of points required by the interpolation

Implements julian::Interpolation.

std::string julian::CubicInterpolation::info ( ) const

virtual

Name of a class.

Method returns string that containing information about class.

Implements julian::Interpolation.

double julian::CubicInterpolation::operator()	(	const std::vector< double > &	x,
		const std::vector< double > &	y,
		const double &	x_int
	)		const

virtual

Performs interpolation.

This operator returns value of interpolant at the point x_init. This value is obtained by cubic interpolation on the basis of given arguments (vector x) and corresponding values (vector y). If x_init is outside the interval defined by the first and the last element of vector of the arguments operator returns error.

Implements julian::Interpolation.

template<class Archive >

void julian::CubicInterpolation::serialize	(	Archive &	,
		const unsigned	int
	)

inlineprivate

interface used by Boost serialization library

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

C:/Unix/home/OEM/jULIAN/src/mathematics/interpolation/cubicInterpolation.hpp
C:/Unix/home/OEM/jULIAN/src/mathematics/interpolation/cubicInterpolation.cpp

Public Member Functions

Private Member Functions

Friends

Detailed Description

Member Function Documentation