Helper class for computing the abscissae and weights of the tanh-sinh quadrature rule referred to the [0,1]. The maximum number of abscissae/weights is prescribed by n_max. The abscissae / weights are precomputed with enough precision (34 significant digits) for double or quadruple precision applications. More...

#include <quadrature.hpp>

Static Public Member Functions
static real	get_abscissa (const int n_points, const int pt_id)
	Gets a tanh-sinh abscissa in the [0,1] domain.

static real	get_weight (const int n_points, const int pt_id)
	Gets a tanh-sinh weight in the [0,1] domain.

Static Public Attributes
static constexpr int	n_max = 100
	Maximum precomputed degree of tanh-sinh points.

Static Private Member Functions
static const std::array< real, n_entries > &	get_quad_data ()
	Gets a reference to a static array containing all the information of the quadrature.

Static Private Attributes
static constexpr int	n_entries = n_max * (n_max + 1)
	Number of entries in data vectors.

Detailed Description

Helper class for computing the abscissae and weights of the tanh-sinh quadrature rule referred to the [0,1]. The maximum number of abscissae/weights is prescribed by n_max. The abscissae / weights are precomputed with enough precision (34 significant digits) for double or quadruple precision applications.

Member Function Documentation

◆ get_abscissa()

static real qugar::TanhSinh::get_abscissa	(	const int	n_points,
		const int	pt_id )

static

Gets a tanh-sinh abscissa in the [0,1] domain.

Parameters

n_points	Number of points of the 1D quadrature. It must be smaller or equal than n_max.
pt_id	Id of the point whose abscissa is returned. The point must be in the range [0, `n_points` [.

Returns: Abscissa of the point.

◆ get_quad_data()

static const std::array< real, n_entries > & qugar::TanhSinh::get_quad_data ( )

staticprivate

Gets a reference to a static array containing all the information of the quadrature.

The array contains the abscissae and weights from 1 up to n_max points. The data is sorted in the following way: for a given number of points n, from 1 to n_max, first the abcissae in ascending order (in [0,1]) are stored and then associated weights. Then, the abscissae for n+1 points and weights, etc.

Returns: Constant reference to static array containing all the data.

◆ get_weight()

static real qugar::TanhSinh::get_weight	(	const int	n_points,
		const int	pt_id )

static

Gets a tanh-sinh weight in the [0,1] domain.

Parameters

n_points	Number of points of the 1D quadrature. It must be smaller or equal than n_max.
pt_id	Id of the point whose weight is returned. The point must be in the range [0, `n_points` [.

Returns: Weight of the point.

Member Data Documentation

◆ n_entries

int qugar::TanhSinh::n_entries = n_max * (n_max + 1)

staticconstexprprivate

Number of entries in data vectors.

◆ n_max

int qugar::TanhSinh::n_max = 100

staticconstexpr

Maximum precomputed degree of tanh-sinh points.

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

/__w/qugar/qugar/cpp/include/qugar/quadrature.hpp

Static Public Member Functions

Static Public Attributes

Static Private Member Functions

Static Private Attributes