hummingbird::GaussLegendreTrapezoid Class Reference

Class defines a Gauss-Legendre-Trapezoid rule on the unit sphere, where a Gauss-Legendre rule is used on the polar coordinate, and a trapezoid rule is used on the azimuthal. More...

#include <gauss_legendre_trapezoid.h>

Inheritance diagram for hummingbird::GaussLegendreTrapezoid:

Collaboration diagram for hummingbird::GaussLegendreTrapezoid:

Public Member Functions
	GaussLegendreTrapezoid (const size_t n_azim, const size_t n_polar, const bool polar_measured_from_x=false)
	Construct a new Gauss Legendre Trapezoid object.
Public Member Functions inherited from hummingbird::QuadratureBase< Ordinate >
	QuadratureBase ()=default
double	GetWeight (const unsigned int abscissa_index) const
	Get the weight value corresponding to a given abscissa value.
Ordinate	GetAbscissa (const unsigned int index) const
	Get the abscissa corresponding to the index.
double	Integrate (const std::vector< QuadraturePair > &quad_pairs) const
	Integrate the function using the function value and its location on the quadrature grid.
const std::vector< Ordinate > &	abscissas () const
	Getter for the abscissas in the quadrature set.
size_t	n_points () const
	Get total number of abscissas.

Additional Inherited Members
Protected Member Functions inherited from hummingbird::QuadratureBase< Ordinate >
void	CreateWeightMap ()
	Create the weight map.
virtual double	ComputeWeight (const size_t k, const size_t n)
	Compute the weight for the k-th abscissa for n total points.
Protected Attributes inherited from hummingbird::QuadratureBase< Ordinate >
std::vector< Ordinate >	abscissas_
	Abscissa values.
std::map< unsigned int, double >	weight_map_
	Map to store the weights of the quadrature set where the keys are the indices corresponding to abscissa values.

Detailed Description

Class defines a Gauss-Legendre-Trapezoid rule on the unit sphere, where a Gauss-Legendre rule is used on the polar coordinate, and a trapezoid rule is used on the azimuthal.

Definition at line 18 of file gauss_legendre_trapezoid.h.

Constructor & Destructor Documentation

GaussLegendreTrapezoid()

hummingbird::GaussLegendreTrapezoid::GaussLegendreTrapezoid	(	const size_t	n_azim,
		const size_t	n_polar,
		const bool	polar_measured_from_x = false )

Construct a new Gauss Legendre Trapezoid object.

Parameters

n_azim	Number of azimuthal quadrature points
n_polar	Number of polar quadrature points
polar_measured_from_x	If true, each ordinate is built so its polar Gauss-Legendre root ends up in Ordinate::x() (via Ordinate(acos(root), pi/2)) instead of Ordinate::z(). Used for 1D problems along x, where x() (not z()) is the streaming/BC direction cosine every consumer (Segment, ParsedVolumetricSource, CGProblem) reads; azim is otherwise degenerate for n_azim=1, since sin(polar) is the same for a Gauss-Legendre root and its negative. Defaults to false (the standard sphere convention, needed for future 2D/3D use).

Definition at line 5 of file gauss_legendre_trapezoid.cc.

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

• /home/runner/work/hummingbird/hummingbird/include/quadrature/angular/gauss_legendre_trapezoid.h
• /home/runner/work/hummingbird/hummingbird/src/quadrature/angular/gauss_legendre_trapezoid.cc