Returns the numerical integration coordinates and weights for a line. More...

#include <LineNumericalIntegration.h>

Collaboration diagram for LineNumericalIntegration:

Public Member Functions
	LineNumericalIntegration ()
	Default constructor.
	LineNumericalIntegration (LineNumericalIntegration &Instance)
	Copy-initializer constructor.
	~LineNumericalIntegration ()
	Class destructor.
LineNumericalIntegration &	operator= (LineNumericalIntegration &Instance)
	Copies the contents of instance to the object.
void	SetMaxPolyOrder (unsigned long MaxPolyOrder)
	Sets the maximum polynomial order for the line collocation points.
void	SetNumberCoordsWeights (unsigned long NumberRow, unsigned long NumberData)
	Sets the coordinates and weights table for the specific LineNumericalIntegration allocated.
void	SetNumberIntegrationPointsSets (NumericalIntegrationAttributes_S &NIAttributes, BuiltInArray< unsigned long > &PolyOrder)
	Sets the maximum number of sets of integration points.
unsigned long	GetMaxPolyOrder ()
	Returns the maximum polynomial order.
unsigned long	GetNumberIntegrationPointsSets ()
	Returns the number of sets of integration points.
unsigned long	GetMaxNumberIntegrationPoints ()
	Returns the maximum number of integration points.
unsigned long	GetMaxNumberIntegrationPointsSets ()
	Returns the maximum number of sets of integration points.
long	GetIntegrationPointsSetNumber (NumericalIntegrationAttributes_S &NIAttributes, unsigned long IntegrandOrder)
	Returns the set number of the integration points for the given order of the integrand.
unsigned long	GetNumberIntegrationPoints (NumericalIntegrationAttributes_S &NIAttributes, unsigned long IntegrandOrder, long &IntegrationPointsSetNumber)
	Returns the number of integration points given by integrand order for the quadrature rule stored in the class. Returns also the number of the set which stores the points.
unsigned long	GetNumberIntegrationPoints (long IPSetNumberIndex)
	Returns the number of integration points for a given set number.
unsigned long	GetNumberIntegPointsUsingSetNumber (long IPSetNumber)
	Returns the number of integration points for a given set number.
unsigned long	GetTotalNumberIntegrationPoints ()
	Returns the total number of integration points.
double *const	GetIntegrationPointsCoords (NumericalIntegrationAttributes_S &NIAttributes, unsigned long IntegrandOrder, unsigned long &NumberCoords)
	Returns the coordinates of the integration points. This method assumes that the coordinates have been already calculated by the procedure RunNumericalIntegration.
double *	GetIntegrationPointsCoords (unsigned long &NumberCoords, unsigned long &NumberIndices, unsigned long **Indices)
	Returns the coordinates of all integration points. This method assumes that the coordinates have been already calculated by the procedure RunNumericalIntegration.
double *	GetIntegrationPointsCoordsBySets (unsigned long SetNumber, unsigned long &NumberIntegrationPoints)
	Returns the coordinates of the integration points. This method assumes that the coordinates have been already calculated by the procedure RunNumericalIntegration.
double *const	GetIntegrationPointsWeights (NumericalIntegrationAttributes_S &NIAttributes, unsigned long IntegrandOrder, unsigned long &NumberIntegrationPoints)
	Returns the weights of the integration points. This method assumes that the weights have been already calculated by the procedure RunNumericalIntegration.
double *	GetIntegrationPointsWeights (unsigned long &NumberWeights, unsigned long &NumberIndices, unsigned long **Indices)
	Returns the weights of all integration points. This method assumes that the weights have been already calculated by the procedure RunNumericalIntegration.
double *	GetIntegrationPointsWeightsBySets (unsigned long SetNumber, unsigned long &NumberIntegrationPoints)
	Returns the weights of the integration points. This method assumes that the weights have been already calculated by the procedure RunNumericalIntegration.
void	RunNumericalIntegration (NumericalIntegrationAttributes_S &NIAttributes, BuiltInArray< unsigned long > &PolyOrder)
	Calculates the tensorization indices and the weigths for numerical integration of the polynomial orders given in the input parameter PolyOrder and integrand orders calculated by [1,IOFactor] * P..
void	Convert2NaturalCoordinates ()
	Converts the coordinates and weights from the interval [-1,1] to [0,1].
void	Convert2LocalCoordinates ()
	Converts the coordinates and weights from the interval [0,1] to [-1,1].
void	Print (FILE *File)
	: Prints the numerical integration attributes and values to the given ascii file.
Protected Attributes
Quadrature1D	Quad
	Instance of the Quadrature1D class used to get coordinates and weights for the 1D quadrature.
OneIndexTable< double >	Weights
	Table to store the line integration weights for all polynomial orders P and integrand orders calculated as [1,IOFactor] * P.
OneIndexTable< double >	Coords
	Table to store the line integration coordinates for all polynomial orders P and integrand orders calculated as [1,IOFactor] * P.
BuiltInArray< long >	IPSets
	This array has size for the maximum number of integration points, which it is calculated using the integrand order Pmax * IOFactor. The array stores for each number of points, the row number of the tables of weights and coords storing the points. As the array is allocated for the number of points of the maximum integrand order, some positions may not be used. In this case, this array will store -1.
unsigned long	NumbIPSets
	Number of sets of integration points calculated for each polynomial order and integrand orders.
unsigned long	Pmax
	Maximum polynomial order.

Detailed Description

Returns the numerical integration coordinates and weights for a line.

Author:: Fabiano Fernandes Bargos/Marco Lcio Bittencourt

Date:: March/15/2011

Constructor & Destructor Documentation

LineNumericalIntegration::LineNumericalIntegration ( LineNumericalIntegration & Instance )

Copy-initializer constructor.

Parameters:

[in] Instance - instance of the LineNumericalIntegration class

Member Function Documentation

double *const LineNumericalIntegration::GetIntegrationPointsCoords	(	NumericalIntegrationAttributes_S &	NIAttributes,
		unsigned long	IntegrandOrder,
		unsigned long &	NumberCoords
	)

Returns the coordinates of the integration points. This method assumes that the coordinates have been already calculated by the procedure RunNumericalIntegration.

Parameters:

[in]	NIAttributes	- parameters of the quadrature rule.
[in]	IntegrandOrder	- order of the integrand. Based on this value, the number of integration points are calculated for the quadrature rule stored in the class data.
[out]	NumberIntegrationPoints	- number of integration points

Returns:: Pointer to the array with the coordinates.

double * LineNumericalIntegration::GetIntegrationPointsCoords	(	unsigned long &	NumberCoords,
		unsigned long &	NumberIndices,
		unsigned long **	Indices
	)

Returns the coordinates of all integration points. This method assumes that the coordinates have been already calculated by the procedure RunNumericalIntegration.

Parameters:

[out]	NumberCoords	- number of integration points.
[out]	NumberIndices	- number of indices of the table.
[out]	Indices	- indices of table.

Returns:: Pointer to double - the array with the coordinates.

double * LineNumericalIntegration::GetIntegrationPointsCoordsBySets	(	unsigned long	SetNumber,
		unsigned long &	NumberIntegrationPoints
	)

Returns the coordinates of the integration points. This method assumes that the coordinates have been already calculated by the procedure RunNumericalIntegration.

Parameters:

[in]	SetNumber	- the set number.
[out]	NumberIntegrationPoints	- number of integration points

Returns:: Pointer to the array with the coordinates.

long LineNumericalIntegration::GetIntegrationPointsSetNumber	(	NumericalIntegrationAttributes_S &	NIAttributes,
		unsigned long	IntegrandOrder
	)

Returns the set number of the integration points for the given order of the integrand.

Parameters:

[in]	NIAttributes	- parameters of the quadrature rule.
[in]	IntegrandOrder	- Order of the integrand. Based on this value, the number of integration points are calculated for the quadrature rule stored in the class data.

Returns:: a long type with set number value.

double *const LineNumericalIntegration::GetIntegrationPointsWeights	(	NumericalIntegrationAttributes_S &	NIAttributes,
		unsigned long	IntegrandOrder,
		unsigned long &	NumberIntegrationPoints
	)

Returns the weights of the integration points. This method assumes that the weights have been already calculated by the procedure RunNumericalIntegration.

Parameters:

[in]	NIAttributes	- parameters of the quadrature rule.
[in]	IntegrandOrder	- order of the integrand. Based on this value, the number of integration points are calculated for the quadrature rule stored in the class data.
[out]	NumberIntegrationPoints	- number of integration points

Returns:: Pointer to the array with the weights

double * LineNumericalIntegration::GetIntegrationPointsWeights	(	unsigned long &	NumberWeights,
		unsigned long &	NumberIndices,
		unsigned long **	Indices
	)

Returns the weights of all integration points. This method assumes that the weights have been already calculated by the procedure RunNumericalIntegration.

Parameters:

[out]	NumberWeights	- number of integration points
[out]	NumberIndices	- size of array indices of weights table.
[out]	Indices	- indices of table.

Returns:: Pointer to double - the array with the weights.

double * LineNumericalIntegration::GetIntegrationPointsWeightsBySets	(	unsigned long	SetNumber,
		unsigned long &	NumberIntegrationPoints
	)

Returns the weights of the integration points. This method assumes that the weights have been already calculated by the procedure RunNumericalIntegration.

Parameters:

[in]	SetNumber	- the set number.
[out]	NumberIntegrationPoints	- number of integration points

Returns:: Pointer to the array with the coordinates.

unsigned long LineNumericalIntegration::GetMaxNumberIntegrationPoints ( )

Returns the maximum number of integration points.

Returns:: the maximum number of integration points as an unsigned long.

unsigned long LineNumericalIntegration::GetMaxNumberIntegrationPointsSets ( )

Returns the maximum number of sets of integration points.

Returns:: the maximum number of sets as an unsigned long.

unsigned long LineNumericalIntegration::GetMaxPolyOrder ( )

Returns the maximum polynomial order.

Returns:: Maximum polynomial order as an unsigned long.

unsigned long LineNumericalIntegration::GetNumberIntegPointsUsingSetNumber ( long IPSetNumber )

Returns the number of integration points for a given set number.

Parameters:

[in] IPSetNumber - number of the integration point set which stores the coordinates.

Returns:: the number of integration points for a given set number as an unsigned long. If the set number is not used, returns 0.

unsigned long LineNumericalIntegration::GetNumberIntegrationPoints	(	NumericalIntegrationAttributes_S &	NIAttributes,
		unsigned long	IntegrandOrder,
		long &	IntegrationPointsSetNumber
	)

Returns the number of integration points given by integrand order for the quadrature rule stored in the class. Returns also the number of the set which stores the points.

Parameters:

[in]	NIAttributes	- parameters of the quadrature rule.
[in]	IntegrandOrder	- order of the integrand. Based on this value, the number of integration points is calculated for the quadrature rule stored in the class data.
[out]	IntegrationPointsSetNumber	- number of the integration point set which stores the coordinates.

Returns:: Number of integration points as an unsigned long

unsigned long LineNumericalIntegration::GetNumberIntegrationPoints ( long IPSetNumberIndex )

Returns the number of integration points for a given set number.

Parameters:

[in] IPSetNumberIndex - index of the integration point set which stores the coordinates.

Returns:: the number of integration points for a given set number as an unsigned long. If the set number is not used, returns 0.

unsigned long LineNumericalIntegration::GetNumberIntegrationPointsSets ( )

Returns the number of sets of integration points.

Returns:: Number of sets as an unsigned long.

unsigned long LineNumericalIntegration::GetTotalNumberIntegrationPoints ( )

Returns the total number of integration points.

Returns:: an unsigned long with the total number of integration points value.

LineNumericalIntegration & LineNumericalIntegration::operator= ( LineNumericalIntegration & Instance )

Copies the contents of instance to the object.

Parameters:

[in] Instance - instance of the LineNumericalIntegration class.

Returns:: Reference to instance of the LineNumericalIntegration class.

void LineNumericalIntegration::Print ( FILE * File )

: Prints the numerical integration attributes and values to the given ascii file.

Parameters:

[in] File - pointer to the ascii file

void LineNumericalIntegration::RunNumericalIntegration	(	NumericalIntegrationAttributes_S &	NIAttributes,
		BuiltInArray< unsigned long > &	PolyOrder
	)

Calculates the tensorization indices and the weigths for numerical integration of the polynomial orders given in the input parameter PolyOrder and integrand orders calculated by [1,IOFactor] * P..

Parameters:

[in]	NIAttributes	- parameters of the quadrature rule.
[in]	PolyOrder	- element orders for a p-nonuniform mesh in an increasing sequence. For a p-uniform, this array stores only one value

void LineNumericalIntegration::SetMaxPolyOrder ( unsigned long MaxPolyOrder )

Sets the maximum polynomial order for the line collocation points.

Parameters:

[in] MaxPolyOrder - maximum polynomial order.

void LineNumericalIntegration::SetNumberCoordsWeights	(	unsigned long	NumberRow,
		unsigned long	NumberData
	)

Sets the coordinates and weights table for the specific LineNumericalIntegration allocated.

Parameters:

[in]	NumberRow	- Number of table row.
[in]	NumberData	- Number of table coefficients.

void LineNumericalIntegration::SetNumberIntegrationPointsSets	(	NumericalIntegrationAttributes_S &	NIAttributes,
		BuiltInArray< unsigned long > &	PolyOrder
	)

Sets the maximum number of sets of integration points.

Parameters:

[in]	NIAttributes	- parameters of the quadrature rule.
[in]	PolyOrder	- element orders for a p-nonuniform mesh in an increasing sequence. For a p-uniform, this array stores only one value

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

include/interpolation/numericalintegration/LineNumericalIntegration.h
src/interpolation/numericalintegration/LineNumericalIntegration.cpp

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation