#include <SupportValues.h>

Inheritance diagram for PolynomialBase:

Public Member Functions
	PolynomialBase (const Matrix< double > &X, const Matrix< double > &Y)

virtual Matrix< double >	Evaluate (const Matrix< double > &) const =0

virtual std::string	Function () const =0

Friends
std::ostream &	operator<< (std::ostream &ostr, const PolynomialBase &base)

Detailed Description

function approximation and interpolation using support values

see https://wiki.godesteem.de/wiki/interpolation-and-approximation/

Requires:

#include <math/numerics/analysis/SupportValues.h>

SupportValues.h

Template class for polynomial base representation.

Constructor & Destructor Documentation

◆ PolynomialBase()

PolynomialBase::PolynomialBase	(	const Matrix< double > &	X,
		const Matrix< double > &	Y
	)

inline

Default constructor

Parameters

X	support values $$x_i$$
Y	evaluated support values $$y_i$$

Member Function Documentation

◆ Evaluate()

virtual Matrix< double > PolynomialBase::Evaluate ( const Matrix< double > & ) const

pure virtual

Evaluate a given vector based on the approximation, computes p(x) for given x

Returns

Implemented in LagrangeBase, MonomBase, and NewtonBase.

◆ Function()

virtual std::string PolynomialBase::Function ( ) const

pure virtual

string representation of interpolated polynomial

Don't overthink this. simply return some kind of equation one can copy into wolframalpha and simplify

Returns

Implemented in MonomBase, LagrangeBase, and NewtonBase.

Friends And Related Function Documentation

◆ operator<<

std::ostream & operator<<	(	std::ostream &	ostr,
		const PolynomialBase &	base
	)

friend

std::cout operator