This is the base class for all quadrature rules. More...

#include <Quadrature.h>

Inheritance diagram for ippl::Quadrature< T, NumNodes1D, ElementType >:

Collaboration diagram for ippl::Quadrature< T, NumNodes1D, ElementType >:

Public Member Functions
	Quadrature (const ElementType &ref_element)
	Construct a new Quadrature object.
size_t	getOrder () const
	Returns the order of the quadrature rule. (order = degree + 1).
size_t	getDegree () const
	Returns the degree of exactness of the quadrature rule.
Vector< T, numElementNodes >	getWeightsForRefElement () const
	Get the quadrature weights for the reference element.
Vector< Vector< T, dim >, numElementNodes >	getIntegrationNodesForRefElement () const
	Get the integration (quadrature) nodes for the reference element.
Vector< T, NumNodes1D >	getIntegrationNodes1D (const T &a, const T &b) const
	Get the quadrature nodes for one dimension. (With respect to the given domain [a, b]).
Vector< T, NumNodes1D >	getWeights1D (const T &a, const T &b) const
	Get the quadrature weights for one dimension. (With respect to the given domain [a, b]).
virtual void	computeNodesAndWeights ()=0
	Pure virtual function that computes the local quadrature nodes and weights. (Needs to be implemented in derived classes).

Static Public Attributes
static constexpr unsigned	numNodes1D = NumNodes1D
static constexpr unsigned	dim = ElementType::dim
static constexpr unsigned	numElementNodes

Protected Attributes
unsigned	degree_m
const ElementType &	ref_element_m
Vector< T, NumNodes1D >	integration_nodes_m
Vector< T, NumNodes1D >	weights_m
T	a_m
T	b_m

Detailed Description

template<typename T, unsigned NumNodes1D, typename ElementType>
class ippl::Quadrature< T, NumNodes1D, ElementType >

This is the base class for all quadrature rules.

Template Parameters

T	floating point number type of the quadrature nodes and weights
NumNodes1D	number of quadrature nodes for one dimension
ElementType	element type for which the quadrature rule is defined

Definition at line 35 of file Quadrature.h.

Constructor & Destructor Documentation

◆ Quadrature()

template<typename T, unsigned NumNodes1D, typename ElementType>

ippl::Quadrature< T, NumNodes1D, ElementType >::Quadrature ( const ElementType & ref_element )

Construct a new Quadrature object.

Parameters

ref_element reference element to compute the quadrature nodes on

Definition at line 4 of file Quadrature.hpp.

References ref_element_m.

Referenced by ippl::GaussJacobiQuadrature< T, NumNodes1D, ElementType >::GaussJacobiQuadrature(), and ippl::MidpointQuadrature< T, NumNodes1D, ElementType >::MidpointQuadrature().

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Member Function Documentation

◆ computeNodesAndWeights()

template<typename T, unsigned NumNodes1D, typename ElementType>

virtual void ippl::Quadrature< T, NumNodes1D, ElementType >::computeNodesAndWeights ( )

pure virtual

Pure virtual function that computes the local quadrature nodes and weights. (Needs to be implemented in derived classes).

Implemented in ippl::GaussJacobiQuadrature< T, NumNodes1D, ElementType >, ippl::GaussJacobiQuadrature< T, 5, ElementType >, ippl::GaussJacobiQuadrature< Tlhs, 5, ElementType >, ippl::GaussJacobiQuadrature< Tlhs, QuadNumNodes, ElementType >, and ippl::MidpointQuadrature< T, NumNodes1D, ElementType >.

◆ getDegree()

template<typename T, unsigned NumNodes1D, typename ElementType>

size_t ippl::Quadrature< T, NumNodes1D, ElementType >::getDegree ( ) const

Returns the degree of exactness of the quadrature rule.

Returns: unsigned - degree

Definition at line 13 of file Quadrature.hpp.

References degree_m.

◆ getIntegrationNodes1D()

template<typename T, unsigned NumNodes1D, typename ElementType>

Vector< T, NumNodes1D > ippl::Quadrature< T, NumNodes1D, ElementType >::getIntegrationNodes1D	(	const T &	a,
		const T &	b ) const

Get the quadrature nodes for one dimension. (With respect to the given domain [a, b]).

Parameters

a	local domain start
b	local domain end

Returns: Vector<T, NumNodes1D>

Definition at line 72 of file Quadrature.hpp.

Referenced by getIntegrationNodesForRefElement().

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◆ getIntegrationNodesForRefElement()

template<typename T, unsigned NumNodes1D, typename ElementType>

Vector< Vector< T, Quadrature< T, NumNodes1D, ElementType >::dim >, Quadrature< T, NumNodes1D, ElementType >::numElementNodes > ippl::Quadrature< T, NumNodes1D, ElementType >::getIntegrationNodesForRefElement ( ) const

Get the integration (quadrature) nodes for the reference element.

Returns: Vector<Vector<T, Dim>, numElementNodes>

Definition at line 47 of file Quadrature.hpp.

References getIntegrationNodes1D(), and numElementNodes.

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◆ getOrder()

template<typename T, unsigned NumNodes1D, typename ElementType>

size_t ippl::Quadrature< T, NumNodes1D, ElementType >::getOrder ( ) const

Returns the order of the quadrature rule. (order = degree + 1).

Returns: unsigned - order

Definition at line 8 of file Quadrature.hpp.

References degree_m.

◆ getWeights1D()

template<typename T, unsigned NumNodes1D, typename ElementType>

Vector< T, NumNodes1D > ippl::Quadrature< T, NumNodes1D, ElementType >::getWeights1D	(	const T &	a,
		const T &	b ) const

Get the quadrature weights for one dimension. (With respect to the given domain [a, b]).

Parameters

a	local domain start
b	local domain end

Returns: Vector<T, NumNodes1D>

Definition at line 81 of file Quadrature.hpp.

References a_m, b_m, and weights_m.

Referenced by getWeightsForRefElement().

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◆ getWeightsForRefElement()

template<typename T, unsigned NumNodes1D, typename ElementType>

Vector< T, Quadrature< T, NumNodes1D, ElementType >::numElementNodes > ippl::Quadrature< T, NumNodes1D, ElementType >::getWeightsForRefElement ( ) const

Get the quadrature weights for the reference element.

Returns: Vector<T, numElementNodes>

Definition at line 19 of file Quadrature.hpp.

References getWeights1D(), and numElementNodes.

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Member Data Documentation

◆ a_m

template<typename T, unsigned NumNodes1D, typename ElementType>

T ippl::Quadrature< T, NumNodes1D, ElementType >::a_m

protected

Definition at line 117 of file Quadrature.h.

Referenced by ippl::MidpointQuadrature< T, NumNodes1D, ElementType >::computeNodesAndWeights(), ippl::GaussJacobiQuadrature< T, NumNodes1D, ElementType >::GaussJacobiQuadrature(), getWeights1D(), and ippl::MidpointQuadrature< T, NumNodes1D, ElementType >::MidpointQuadrature().

◆ b_m

template<typename T, unsigned NumNodes1D, typename ElementType>

T ippl::Quadrature< T, NumNodes1D, ElementType >::b_m

protected

Definition at line 119 of file Quadrature.h.

Referenced by ippl::MidpointQuadrature< T, NumNodes1D, ElementType >::computeNodesAndWeights(), ippl::GaussJacobiQuadrature< T, NumNodes1D, ElementType >::GaussJacobiQuadrature(), getWeights1D(), and ippl::MidpointQuadrature< T, NumNodes1D, ElementType >::MidpointQuadrature().

◆ degree_m

template<typename T, unsigned NumNodes1D, typename ElementType>

unsigned ippl::Quadrature< T, NumNodes1D, ElementType >::degree_m

protected

Definition at line 111 of file Quadrature.h.

Referenced by ippl::GaussJacobiQuadrature< T, NumNodes1D, ElementType >::GaussJacobiQuadrature(), getDegree(), getOrder(), and ippl::MidpointQuadrature< T, NumNodes1D, ElementType >::MidpointQuadrature().

◆ dim

template<typename T, unsigned NumNodes1D, typename ElementType>

unsigned ippl::Quadrature< T, NumNodes1D, ElementType >::dim = ElementType::dim

staticconstexpr

Definition at line 41 of file Quadrature.h.

◆ integration_nodes_m

template<typename T, unsigned NumNodes1D, typename ElementType>

Vector<T, NumNodes1D> ippl::Quadrature< T, NumNodes1D, ElementType >::integration_nodes_m

protected

Definition at line 113 of file Quadrature.h.

Referenced by ippl::GaussJacobiQuadrature< T, NumNodes1D, ElementType >::computeNodesAndWeights(), ippl::MidpointQuadrature< T, NumNodes1D, ElementType >::computeNodesAndWeights(), and ippl::GaussJacobiQuadrature< T, NumNodes1D, ElementType >::GaussJacobiQuadrature().

◆ numElementNodes

template<typename T, unsigned NumNodes1D, typename ElementType>

unsigned ippl::Quadrature< T, NumNodes1D, ElementType >::numElementNodes

staticconstexpr

Initial value:

Definition at line 44 of file Quadrature.h.

Referenced by getIntegrationNodesForRefElement(), and getWeightsForRefElement().

◆ numNodes1D

template<typename T, unsigned NumNodes1D, typename ElementType>

unsigned ippl::Quadrature< T, NumNodes1D, ElementType >::numNodes1D = NumNodes1D

staticconstexpr

Definition at line 38 of file Quadrature.h.

◆ ref_element_m

template<typename T, unsigned NumNodes1D, typename ElementType>

const ElementType& ippl::Quadrature< T, NumNodes1D, ElementType >::ref_element_m

protected

Definition at line 112 of file Quadrature.h.

Referenced by Quadrature().

◆ weights_m

template<typename T, unsigned NumNodes1D, typename ElementType>

Vector<T, NumNodes1D> ippl::Quadrature< T, NumNodes1D, ElementType >::weights_m

protected

Definition at line 114 of file Quadrature.h.

Referenced by ippl::GaussJacobiQuadrature< T, NumNodes1D, ElementType >::computeNodesAndWeights(), ippl::MidpointQuadrature< T, NumNodes1D, ElementType >::computeNodesAndWeights(), ippl::GaussJacobiQuadrature< T, NumNodes1D, ElementType >::GaussJacobiQuadrature(), and getWeights1D().

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

Public Member Functions

Static Public Attributes

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Quadrature()

Member Function Documentation

◆ computeNodesAndWeights()

◆ getDegree()

◆ getIntegrationNodes1D()

◆ getIntegrationNodesForRefElement()

◆ getOrder()

◆ getWeights1D()

◆ getWeightsForRefElement()

Member Data Documentation

◆ a_m

◆ b_m

◆ degree_m

◆ dim

◆ integration_nodes_m

◆ numElementNodes

◆ numNodes1D

◆ ref_element_m

◆ weights_m