TruncatedLagrange1D Class Reference

Class used to evaluate the 1D Truncated Lagrange polynomials and first ans second derivatives for the given CollocationCoordinates. This class does not store any data. More...

#include <TruncatedLagrange1D.h>

List of all members.

Public Member Functions
	TruncatedLagrange1D ()
	Default constructor.
void	GetPolynomialValue (unsigned long PolyOrder, double *const CollocCoordinates, double *const Coordinates, unsigned long NumCoordinates, double *Phi)
	Calculate the truncated Lagrange polynomials for the collocation points CollocCoordinates evaluated on Coordinates.
void	Get1stDerivative (unsigned long PolyOrder, double *const CollocCoordinates, double *const Coordinates, unsigned long NumCoordinates, double *dPhi)
	Calculate the first derivative of the truncated Lagrange polynomials for the collocation points CollocCoordinates evaluated on Coordinates.
void	Get2ndDerivative (unsigned long PolyOrder, double *const CollocCoordinates, double *const Coordinates, unsigned long NumCoordinates, double *d2Phi)
	Calculate the second derivative of the truncated Lagrange polynomials for the collocation points CollocCoordinates evaluated on Coordinates.

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Detailed Description

Class used to evaluate the 1D Truncated Lagrange polynomials and first ans second derivatives for the given CollocationCoordinates. This class does not store any data.

Author:

Fabiano Fernandes Bargos/Marco Lcio Bittencourt

Date:

March/17/2011

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Member Function Documentation

void TruncatedLagrange1D::Get1stDerivative	(	unsigned long	PolyOrder,
		double *const	CollocCoordinates,
		double *const	Coordinates,
		unsigned long	NumCoordinates,
		double *	dPhi
	)

Calculate the first derivative of the truncated Lagrange polynomials for the collocation points CollocCoordinates evaluated on Coordinates.

Parameters:

[in]	PolyOrder	- polynomial order.
[in]	CollocCoordinates	: Collocation points coordinates for nodal basis.
[in]	Coordinates	- Coordinates on which the polynomial first derivative values are calculated.
[in]	NumCoordinates	- number of coordinates where the polynomials are calculated for the Collocation points.
[out]	dPhi	: array with the polynomial first derivatives values for all coordinates.

void TruncatedLagrange1D::Get2ndDerivative	(	unsigned long	PolyOrder,
		double *const	CollocCoordinates,
		double *const	Coordinates,
		unsigned long	NumCoordinates,
		double *	d2Phi
	)

Calculate the second derivative of the truncated Lagrange polynomials for the collocation points CollocCoordinates evaluated on Coordinates.

Parameters:

[in]	PolyOrder	- polynomial order.
[in]	CollocCoordinates	: Collocation points coordinates for nodal basis.
[in]	Coordinates	- Coordinates on which the polynomial second derivatives values are calculated.
[in]	NumCoordinates	- number of coordinates where the polynomials are calculated..
[out]	d2Phi	: array with the polynomial second derivatives values for all coordinates.

void TruncatedLagrange1D::GetPolynomialValue	(	unsigned long	PolyOrder,
		double *const	CollocCoordinates,
		double *const	Coordinates,
		unsigned long	NumCoordinates,
		double *	Phi
	)

Calculate the truncated Lagrange polynomials for the collocation points CollocCoordinates evaluated on Coordinates.

Parameters:

[in]	PolyOrder	- polynomial order.
[in]	CollocCoordinates	: Collocation points coordinates for nodal basis.
[in]	Coordinates	- Coordinates on which the polynomial values are calculated.
[in]	NumCoordinates	- number of coordinates where the polynomials are calculated for the Collocation points.
[out]	Phi	: array with the polynomial values for all coordinates.

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

• include/interpolation/polynomials1d/TruncatedLagrange1D.h
• src/interpolation/polynomials1d/TruncatedLagrange1D.cpp