Dune::QuadraturePoint< ct, dim > Class Template Reference

Single evaluation point in a quadrature rule. More...

#include <dune/geometry/quadraturerules.hh>

Public Types
typedef ct	Field
	Number type used for coordinates and quadrature weights.
typedef Dune::FieldVector< ct, dim >	Vector
	Type used for the position of a quadrature point.

Public Member Functions
	QuadraturePoint (const Vector &x, ct w)
	set up quadrature of given order in d dimensions
const Vector &	position () const
	return local coordinates of integration point i
const ct &	weight () const
	return weight associated with integration point i
template<std::size_t index, std::enable_if_t<(index<=1), int > = 0>
std::tuple_element_t< index, QuadraturePoint< ct, dim > >	get () const
	Tuple like accessor for contents of a quadrature point.

Static Public Attributes
static constexpr int	dimension = dim
	Dimension of the integration domain.

Protected Attributes
FieldVector< ct, dim >	local
ct	weight_

Detailed Description

template<typename ct, int dim>
class Dune::QuadraturePoint< ct, dim >

Single evaluation point in a quadrature rule.

A quadrature point is a single (position, weight) pair used to evaluate a function at a position with a relative weight.

Template Parameters

ct	Number type used for both coordinates and the weights
dim	Dimension of the integration domain

Member Typedef Documentation

Field

template<typename ct, int dim>

typedef ct Dune::QuadraturePoint< ct, dim >::Field

Number type used for coordinates and quadrature weights.

Vector

template<typename ct, int dim>

typedef Dune::FieldVector<ct,dim> Dune::QuadraturePoint< ct, dim >::Vector

Type used for the position of a quadrature point.

Constructor & Destructor Documentation

QuadraturePoint()

template<typename ct, int dim>

Dune::QuadraturePoint< ct, dim >::QuadraturePoint ( const Vector & x, ct w )

inline

set up quadrature of given order in d dimensions

Member Function Documentation

get()

template<typename ct, int dim>

template<std::size_t index, std::enable_if_t<(index<=1), int > = 0>

std::tuple_element_t< index, QuadraturePoint< ct, dim > > Dune::QuadraturePoint< ct, dim >::get ( ) const

inline

Tuple like accessor for contents of a quadrature point.

This function is used by the compiler to generate structured binding for the (position, weight) pair. Thus, the snippet

QuadraturePoint<double,2> quad_point = ...;
auto [position, weight] = quad_point;

is equivalent to

QuadraturePoint<double,2> quad_point = ...;
auto position = quad_point.position();
auto weight = quad_point.weight();

Template Parameters

index

Positional argument of the quadrature point contents

Returns

Position (index==0) or weight (index==1).

position()

template<typename ct, int dim>

const Vector & Dune::QuadraturePoint< ct, dim >::position ( ) const

inline

return local coordinates of integration point i

weight()

template<typename ct, int dim>

const ct & Dune::QuadraturePoint< ct, dim >::weight ( ) const

inline

return weight associated with integration point i

Member Data Documentation

dimension

template<typename ct, int dim>

int Dune::QuadraturePoint< ct, dim >::dimension = dim

staticconstexpr

Dimension of the integration domain.

local

template<typename ct, int dim>

FieldVector<ct, dim> Dune::QuadraturePoint< ct, dim >::local

protected

weight_

template<typename ct, int dim>

ct Dune::QuadraturePoint< ct, dim >::weight_

protected

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

• quadraturerules.hh