Class providing homogeneous inner product calculation of scalar wavepackets. More...

#include <homogeneous_inner_product.hpp>

Public Types
using	CMatrixXX = CMatrix< Eigen::Dynamic, Eigen::Dynamic >

using	CMatrix1X = CMatrix< 1, Eigen::Dynamic >

using	CMatrixX1 = CMatrix< Eigen::Dynamic, 1 >

using	CMatrixD1 = CMatrix< D, 1 >

using	CMatrixDD = CMatrix< D, D >

using	CMatrixDX = CMatrix< D, Eigen::Dynamic >

using	RMatrixD1 = RMatrix< D, 1 >

using	CDiagonalXX = Eigen::DiagonalMatrix< complex_t, Eigen::Dynamic >

using	NodeMatrix = typename QR::NodeMatrix

using	WeightVector = typename QR::WeightVector

using	op_t = std::function< CMatrix1X(CMatrixDX, RMatrixD1)>

Static Public Member Functions
static CMatrixXX	build_matrix (const AbstractScalarHaWp< D, MultiIndex > &packet, const op_t &op=default_op)
	Calculate the matrix of the inner product. More...

static complex_t	quadrature (const AbstractScalarHaWp< D, MultiIndex > &packet, const op_t &op=default_op)
	Perform quadrature. More...

Static Private Member Functions
static CMatrix1X	default_op (const CMatrixDX &nodes, const RMatrixD1 &pos)

Detailed Description

template<dim_t D, class MultiIndex, class QR>
class waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >

Class providing homogeneous inner product calculation of scalar wavepackets.

Template Parameters

D	dimensionality of processed wavepackets
MultiIndex	multi-index type of processed wavepackets
QR	quadrature rule to use, with R nodes

Member Typedef Documentation

template<dim_t D, class MultiIndex , class QR >

using waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >::CDiagonalXX = Eigen::DiagonalMatrix<complex_t, Eigen::Dynamic>

template<dim_t D, class MultiIndex , class QR >

using waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >::CMatrix1X = CMatrix<1, Eigen::Dynamic>

template<dim_t D, class MultiIndex , class QR >

using waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >::CMatrixD1 = CMatrix<D, 1>

template<dim_t D, class MultiIndex , class QR >

using waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >::CMatrixDD = CMatrix<D, D>

template<dim_t D, class MultiIndex , class QR >

using waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >::CMatrixDX = CMatrix<D, Eigen::Dynamic>

template<dim_t D, class MultiIndex , class QR >

using waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >::CMatrixX1 = CMatrix<Eigen::Dynamic, 1>

template<dim_t D, class MultiIndex , class QR >

using waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >::CMatrixXX = CMatrix<Eigen::Dynamic, Eigen::Dynamic>

template<dim_t D, class MultiIndex , class QR >

using waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >::NodeMatrix = typename QR::NodeMatrix

template<dim_t D, class MultiIndex , class QR >

using waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >::op_t = std::function<CMatrix1X(CMatrixDX,RMatrixD1)>

template<dim_t D, class MultiIndex , class QR >

using waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >::RMatrixD1 = RMatrix<D, 1>

template<dim_t D, class MultiIndex , class QR >

using waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >::WeightVector = typename QR::WeightVector

Member Function Documentation

template<dim_t D, class MultiIndex , class QR >

static CMatrixXX waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >::build_matrix	(	const AbstractScalarHaWp< D, MultiIndex > &	packet,
		const op_t &	op = `default_op`
	)

inlinestatic

Calculate the matrix of the inner product.

Returns the matrix elements \(\langle \Phi | f | \Phi \rangle\) with an operator \(f\). The coefficients of the wavepacket are ignored.

Parameters

[in]	packet	wavepacket \(\Phi\)
[in]	op	operator \(f(x, q) : \mathbb{C}^{D \times R} \times \mathbb{R}^D \rightarrow \mathbb{C}^R\) which is evaluated at the nodal points \(x\) and position \(q\); default returns a vector of ones

template<dim_t D, class MultiIndex , class QR >

static CMatrix1X waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >::default_op	(	const CMatrixDX &	nodes,
		const RMatrixD1 &	pos
	)

inlinestaticprivate

template<dim_t D, class MultiIndex , class QR >

static complex_t waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >::quadrature	(	const AbstractScalarHaWp< D, MultiIndex > &	packet,
		const op_t &	op = `default_op`
	)

inlinestatic

Perform quadrature.

Evaluates the scalar \(\langle \Phi | f | \Phi \rangle\). See build_matrix() for the parameters.

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

/userdata/raoulb/LWB/libwaveblocks/waveblocks/innerproducts/homogeneous_inner_product.hpp

Public Types

Static Public Member Functions

Static Private Member Functions

Detailed Description

template<dim_t D, class MultiIndex, class QR> class waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >

Member Typedef Documentation

Member Function Documentation

template<dim_t D, class MultiIndex, class QR>
class waveblocks::innerproducts::HomogeneousInnerProduct< D, MultiIndex, QR >