waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL > Struct Template Reference

Structure providing weighted nodes for Genz-Keister quadrature. More...

#include <genz_keister_qr.hpp>

Public Types
using	NodeMatrix = Eigen::Matrix< real_t, DIM, Eigen::Dynamic >
using	WeightVector = Eigen::Matrix< real_t, 1, Eigen::Dynamic >

Static Public Member Functions
static dim_t	number_nodes ()
	Return the number of nodes for the given order. More...
static NodeMatrix	nodes ()
	Return the quadrature nodes. More...
static WeightVector	weights ()
	Return the quadrature weights. More...
static std::tuple< NodeMatrix, WeightVector >	nodes_and_weights ()
	Return the quadrature nodes and weights. More...
static void	clear_cache ()
	Free the precalculated nodes and weights. More...

Static Public Attributes
static const dim_t	D = DIM
static const dim_t	level = LEVEL

Static Private Member Functions
static void	calculate_nodes_and_weights ()
	Precalculate nodes and weights. More...
static NodeMatrix	nodes_for_partition (const math::partition_t< DIM > &part)
	Return fully symmetric quadrature nodes for given partition. More...
static real_t	weight_for_partition (const math::partition_t< DIM > &part)
	Return quadrature weight for given partition. More...

Static Private Attributes
static bool	cached = false
static NodeMatrix	cached_nodes
static WeightVector	cached_weights

Detailed Description

template<dim_t DIM, dim_t LEVEL>
struct waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >

Structure providing weighted nodes for Genz-Keister quadrature.

Template Parameters

DIM	dimensionality of the Genz-Keister rule
LEVEL	the level of the Genz-Keister rule, must be between 1 and 30 inclusive

Member Typedef Documentation

template<dim_t DIM, dim_t LEVEL>

using waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::NodeMatrix = Eigen::Matrix<real_t,DIM,Eigen::Dynamic>

template<dim_t DIM, dim_t LEVEL>

using waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::WeightVector = Eigen::Matrix<real_t,1,Eigen::Dynamic>

Member Function Documentation

template<dim_t DIM, dim_t LEVEL>

static void waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::calculate_nodes_and_weights ( )

inlinestaticprivate

Precalculate nodes and weights.

template<dim_t DIM, dim_t LEVEL>

static void waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::clear_cache ( )

inlinestatic

Free the precalculated nodes and weights.

template<dim_t DIM, dim_t LEVEL>

static NodeMatrix waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::nodes ( )

inlinestatic

Return the quadrature nodes.

template<dim_t DIM, dim_t LEVEL>

static std::tuple<NodeMatrix,WeightVector> waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::nodes_and_weights ( )

inlinestatic

Return the quadrature nodes and weights.

template<dim_t DIM, dim_t LEVEL>

static NodeMatrix waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::nodes_for_partition ( const math::partition_t< DIM > &  part )

inlinestaticprivate

Return fully symmetric quadrature nodes for given partition.

Parameters

[in]

part

partition

template<dim_t DIM, dim_t LEVEL>

static dim_t waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::number_nodes ( )

inlinestatic

Return the number of nodes for the given order.

template<dim_t DIM, dim_t LEVEL>

static real_t waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::weight_for_partition ( const math::partition_t< DIM > &  part )

inlinestaticprivate

Return quadrature weight for given partition.

Parameters

[in]

part

partition

template<dim_t DIM, dim_t LEVEL>

static WeightVector waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::weights ( )

inlinestatic

Return the quadrature weights.

Member Data Documentation

template<dim_t DIM, dim_t LEVEL>

bool waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::cached = false

staticprivate

template<dim_t DIM, dim_t LEVEL>

GenzKeisterQR< DIM, LEVEL >::NodeMatrix waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::cached_nodes

staticprivate

template<dim_t DIM, dim_t LEVEL>

GenzKeisterQR< DIM, LEVEL >::WeightVector waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::cached_weights

staticprivate

template<dim_t DIM, dim_t LEVEL>

const dim_t waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::D = DIM

static

template<dim_t DIM, dim_t LEVEL>

const dim_t waveblocks::innerproducts::GenzKeisterQR< DIM, LEVEL >::level = LEVEL

static

---

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

• /userdata/raoulb/LWB/libwaveblocks/waveblocks/innerproducts/genz_keister_qr.hpp