A "rule" (weights and quadrature points) for computing quadrature over triangular domains. More...

#include <TriangleQuadratureRule.hpp>

Inheritance diagram for OpenMD::TriangleQuadratureRule:

Public Member Functions
	TriangleQuadratureRule (const TriangleQuadratureRule &)=default

TriangleQuadratureRule &	operator= (const TriangleQuadratureRule &)=default

	TriangleQuadratureRule (TriangleQuadratureRule &&)=default

TriangleQuadratureRule &	operator= (TriangleQuadratureRule &&)=default

int	order () const
	Returns the order of this rule.

const std::vector< Vector2d > &	quadrature_points () const
	Returns the vector of quadrature points. These are returned as the first two barycentric coordinates b0 b1; the third is just b2 = 1 - b0 - b1. Each of these has a corresponding weight returned by weights().

const std::vector< RealType > &	weights () const
	Returns the vector of weights. These sum to 1 and there is one weight for each point returned by quadrature_points().

Protected Member Functions
virtual int	do_order () const =0
	Derived classes shall return the order (>= 1) of this rule.

virtual const std::vector< Vector2d > &	do_quadrature_points () const =0
	Derived classes shall return the vector of quadrature points. Each of these Vector2d objects represents the barycentric coordinates of a triangle (the third barycentric coordinate is implicit: it is the difference between unity and the sum of the other two coordinates).

virtual const std::vector< RealType > &	do_weights () const =0
	Derived classes shall return the vector of weights. The sum of all weights must equal 1.0.

Detailed Description

A "rule" (weights and quadrature points) for computing quadrature over triangular domains.

Definition at line 18 of file TriangleQuadratureRule.hpp.

Constructor & Destructor Documentation

◆ ~TriangleQuadratureRule()

virtual OpenMD::TriangleQuadratureRule::~TriangleQuadratureRule ( )

inlinevirtual

Definition at line 25 of file TriangleQuadratureRule.hpp.

Member Function Documentation

◆ order()

int OpenMD::TriangleQuadratureRule::order ( ) const

inline

Returns the order of this rule.

Definition at line 28 of file TriangleQuadratureRule.hpp.

References do_order().

Referenced by OpenMD::GaussianTriangleQuadratureRule::GaussianTriangleQuadratureRule(), OpenMD::StrangFixCowperTriangleQuadratureRule::StrangFixCowperTriangleQuadratureRule(), and OpenMD::XiaoGimbutasTriangleQuadratureRule::XiaoGimbutasTriangleQuadratureRule().

◆ quadrature_points()

const std::vector< Vector2d > & OpenMD::TriangleQuadratureRule::quadrature_points ( ) const

inline

Returns the vector of quadrature points. These are returned as the first two barycentric coordinates b0 b1; the third is just b2 = 1 - b0 - b1. Each of these has a corresponding weight returned by weights().

Definition at line 38 of file TriangleQuadratureRule.hpp.

References do_quadrature_points().

Referenced by OpenMD::TriangleQuadrature< NumericReturnType, T >::Integrate().