math Class Reference

#include <math.hxx>

Static Public Member Functions
static int	GaussPointsMax ()
static void	GaussPoints (const int Index, math_Vector &Points)
static void	GaussWeights (const int Index, math_Vector &Weights)
static int	KronrodPointsMax ()
	Returns the maximal number of points for that the values are stored in the table. If the number is greater then KronrodPointsMax, the points will be computed.
static bool	OrderedGaussPointsAndWeights (const int Index, math_Vector &Points, math_Vector &Weights)
	Returns a vector of Gauss points and a vector of their weights. The difference with the method GaussPoints is the following:
static bool	KronrodPointsAndWeights (const int Index, math_Vector &Points, math_Vector &Weights)
	Returns a vector of Kronrod points and a vector of their weights for Gauss-Kronrod computation method. Index should be odd and greater then or equal to 3, as the number of Kronrod points is equal to 2*N + 1, where N is a number of Gauss points. Points and Weights should have the size equal to Index. Each even element of Points represents a Gauss point value of N-th Gauss quadrature. The values from Index equal to 3 to 123 are stored in a table (see the file math_Kronrod.cxx). If Index is greater, then points and weights will be computed. Returns true if Index is odd, it is equal to the size of Points and Weights and the computation of Points and Weights is performed successfully. Otherwise this method returns false.

Member Function Documentation

GaussPoints()

static void math::GaussPoints ( const int Index, math_Vector & Points )

static

GaussPointsMax()

static int math::GaussPointsMax ( )

static

GaussWeights()

static void math::GaussWeights ( const int Index, math_Vector & Weights )

static

KronrodPointsAndWeights()

static bool math::KronrodPointsAndWeights ( const int Index, math_Vector & Points, math_Vector & Weights )

static

Returns a vector of Kronrod points and a vector of their weights for Gauss-Kronrod computation method. Index should be odd and greater then or equal to 3, as the number of Kronrod points is equal to 2*N + 1, where N is a number of Gauss points. Points and Weights should have the size equal to Index. Each even element of Points represents a Gauss point value of N-th Gauss quadrature. The values from Index equal to 3 to 123 are stored in a table (see the file math_Kronrod.cxx). If Index is greater, then points and weights will be computed. Returns true if Index is odd, it is equal to the size of Points and Weights and the computation of Points and Weights is performed successfully. Otherwise this method returns false.

KronrodPointsMax()

static int math::KronrodPointsMax ( )

static

Returns the maximal number of points for that the values are stored in the table. If the number is greater then KronrodPointsMax, the points will be computed.

OrderedGaussPointsAndWeights()

static bool math::OrderedGaussPointsAndWeights ( const int Index, math_Vector & Points, math_Vector & Weights )

static

Returns a vector of Gauss points and a vector of their weights. The difference with the method GaussPoints is the following:

• the points are returned in increasing order.
• if Index is greater then GaussPointsMax, the points are computed. Returns true if Index is positive, Points' and Weights' length is equal to Index, Points and Weights are successfully computed.

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

• math.hxx