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

#include <quadraticInterpolation.hpp>

Inheritance diagram for julian::QuadraticInterpolation:

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

virtual QuadraticInterpolation *	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 quadratic local interpolation technique.

The idea of quadratic interpolation of set of points 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 linear interpolation is:

$y = y_j + \frac{y_{j+1} - y_j}{x_{j+1}^2 - x_j^2} (x^2-x_j^2)$

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

QuadraticInterpolation * julian::QuadraticInterpolation::clone ( ) const

virtual

Virtual copy constructor.

Method is an implementation of virtual copy constructor.

Implements julian::Interpolation.

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

virtual

return the minimum number of points required by the interpolation

Implements julian::Interpolation.

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

virtual

Name of a class.

Method returns string that containing information about class.

Implements julian::Interpolation.

double julian::QuadraticInterpolation::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 quadratic 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::QuadraticInterpolation::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/quadraticInterpolation.hpp
C:/Unix/home/OEM/jULIAN/src/mathematics/interpolation/quadraticInterpolation.cpp

Public Member Functions

Private Member Functions

Friends

Detailed Description

Member Function Documentation