theplu::yat::regression::PolynomialInterpolation Class Reference

Polynomial interpolation. More...

#include <yat/regression/PolynomialInterpolation.h>

Inheritance diagram for theplu::yat::regression::PolynomialInterpolation:

Public Member Functions
	PolynomialInterpolation (const utility::VectorBase &x, const utility::VectorBase &y)
	The default constructor.
	~PolynomialInterpolation (void)
	The destructor.
double	evaluate (double x)
	Calculate the interpolated value for x. More...
double	evaluate_derivative (double x)
	Calculate the derivative of the interpolated function at x. More...
double	evaluate_derivative2 (double x)
	Calculate the 2nd derivative of the interpolated function at x. More...
double	evaluate_integral (double a, double b)
	Calculate the numerical integral of the interpolated function over the range . More...
double	evaluation (void) const
	The result of the latest evaluaion function call is stored and can be retrieved with this function. More...
unsigned int	min_size (void) const
	This function returns the minimum number of points required by the interpolation type. More...

Detailed Description

Polynomial interpolation.

This method should only be used for interpolating small numbers of points because polynomial interpolation introduces large oscillations, even for well-behaved datasets. The number of terms in the interpolating polynomial is equal to the number of points.

See Also

Please refer to the base class documentation for genereal introduction to the GSL based interpolation methods.

Since

New in yat 0.5

Member Function Documentation

double theplu::yat::regression::GSLInterpolation::evaluate ( double  x )

inherited

Calculate the interpolated value for x.

Returns

The interpolated value of for a given point x.

Exceptions

GSL_error

if evaluation is requested outside the range defined by the interpolation algorithm.

double theplu::yat::regression::GSLInterpolation::evaluate_derivative ( double  x )

inherited

Calculate the derivative of the interpolated function at x.

Returns

The derivative.

Exceptions

GSL_error

if evaluation is requested outside the range defined by the interpolation algorithm.

double theplu::yat::regression::GSLInterpolation::evaluate_derivative2 ( double  x )

inherited

Calculate the 2nd derivative of the interpolated function at x.

Returns

The 2nd derivative.

Exceptions

GSL_error

if evaluation is requested outside the range defined by the interpolation algorithm.

double theplu::yat::regression::GSLInterpolation::evaluate_integral ( double  a, double  b  )

inherited

Calculate the numerical integral of the interpolated function over the range .

Returns

The integral.

Exceptions

GSL_error

if evaluation is requested outside the range defined by the interpolation algorithm.

double theplu::yat::regression::GSLInterpolation::evaluation ( void  ) const

inherited

The result of the latest evaluaion function call is stored and can be retrieved with this function.

Returns

The latest evaluated value.

unsigned int theplu::yat::regression::GSLInterpolation::min_size ( void  ) const

inherited

This function returns the minimum number of points required by the interpolation type.

For example, Akima spline interpolation requires a minimum of 5 points.

Returns

The minimum number of points required.

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

• yat/regression/PolynomialInterpolation.h