TPP::Quadrature::GaussLegendre< quad_deg > Class Template Reference

Gauss–Legendre quadrature points and weights in one spatial dimension. More...

#include <one_dimensional.hxx>

Static Public Member Functions
static constexpr unsigned int	n_points ()
	Calculate the amount of quadrature points at compile time. More...
template<typename return_t = double>
static constexpr std::array< return_t, n_points()>	points ()
	Gauss–Legendre quadrature points on one-dimensional unit interval. More...
template<typename return_t = double>
static constexpr std::array< return_t, n_points()>	weights ()
	Gauss–Legendre quadrature weights on one-dimensional unit interval. More...

Static Private Member Functions
template<typename return_t >
static constexpr std::array< return_t, n_points()>	transform_points (std::array< return_t, n_points()> points)
	Transform array of quadrature points in interval \([-1,1]\) to \([0,1]\). More...
template<typename return_t >
static constexpr std::array< return_t, n_points()>	transform_weights (std::array< return_t, n_points()> weights)
	Transform array of quadrature weights for interval \([-1,1]\) to \([0,1]\). More...

Detailed Description

template<unsigned int quad_deg>
class TPP::Quadrature::GaussLegendre< quad_deg >

Gauss–Legendre quadrature points and weights in one spatial dimension.

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Template Parameters

quad_deg

Desired degree of accuracy.

Authors

Andreas Rupp, Heidelberg University, 2021.

Member Function Documentation

n_points()

template<unsigned int quad_deg>

static constexpr unsigned int TPP::Quadrature::GaussLegendre< quad_deg >::n_points ( )

inlinestaticconstexpr

Calculate the amount of quadrature points at compile time.

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Naive implementation to calculate the amount of needed quadrature points if a rule of accuracy quad_deg is desired in one dimension.

Return values

n_quad_points

Amount of needed quadrature points.

points()

template<unsigned int quad_deg>

template<typename return_t = double>

static constexpr std::array<return_t, n_points()> TPP::Quadrature::GaussLegendre< quad_deg >::points ( )

inlinestaticconstexpr

Gauss–Legendre quadrature points on one-dimensional unit interval.

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Returns the quadrature points of the quadrature rule with accuracy order quad_deg on the one-dimensional unit interval \([0,1]\).

Template Parameters

return_t

Floating type specification. Default is double.

Return values

quad_points

std::array containing the quadrature points.

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transform_points()

template<unsigned int quad_deg>

template<typename return_t >

static constexpr std::array<return_t, n_points()> TPP::Quadrature::GaussLegendre< quad_deg >::transform_points ( std::array< return_t, n_points()>  points )

inlinestaticconstexprprivate

Transform array of quadrature points in interval \([-1,1]\) to \([0,1]\).

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transform_weights()

template<unsigned int quad_deg>

template<typename return_t >

static constexpr std::array<return_t, n_points()> TPP::Quadrature::GaussLegendre< quad_deg >::transform_weights ( std::array< return_t, n_points()>  weights )

inlinestaticconstexprprivate

Transform array of quadrature weights for interval \([-1,1]\) to \([0,1]\).

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weights()

template<unsigned int quad_deg>

template<typename return_t = double>

static constexpr std::array<return_t, n_points()> TPP::Quadrature::GaussLegendre< quad_deg >::weights ( )

inlinestaticconstexpr

Gauss–Legendre quadrature weights on one-dimensional unit interval.

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Returns the quadrature weights of the quadrature rule with accuracy order quad_deg on the one-dimensional unit interval \([0,1]\).

Template Parameters

return_t

Floating type specification. Default is double.

Return values

quad_weights

std::array containing the quadrature weights.

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

• /home/runner/work/HyperHDG/HyperHDG/submodules/tensor_product_polynomials.git/include/tpp/quadrature/one_dimensional.hxx