Linear system of the hierarchization in a sparse grid. More...

#include <HierarchisationSLE.hpp>

Inheritance diagram for sgpp::optimization::HierarchisationSLE:

Public Member Functions
void	clone (std::unique_ptr< CloneableSLE > &clone) const override

size_t	getDimension () const override
	Pure virtual method returning the dimension (number of rows/columns) of the system. More...

base::Grid &	getGrid ()

base::GridStorage &	getGridStorage ()

double	getMatrixEntry (size_t i, size_t j) override

	HierarchisationSLE (base::Grid &grid)
	Constructor. More...

	HierarchisationSLE (base::Grid &grid, base::GridStorage &gridStorage)
	Constructor. More...

bool	isMatrixEntryNonZero (size_t i, size_t j) override

Public Member Functions inherited from sgpp::optimization::CloneableSLE
	CloneableSLE ()
	Constructor. More...

bool	isCloneable () const override

	~CloneableSLE () override
	Destructor. More...

Public Member Functions inherited from sgpp::optimization::SLE
virtual size_t	countNNZ ()
	Count all non-zero entries. More...

virtual void	matrixVectorMultiplication (const base::DataVector &x, base::DataVector &y)
	Multiply the matrix with a vector. More...

	SLE ()
	Constructor. More...

virtual	~SLE ()
	Destructor. More...

Protected Types
enum	{ INVALID, BSPLINE, BSPLINE_BOUNDARY, BSPLINE_CLENSHAW_CURTIS, BSPLINE_MODIFIED, BSPLINE_MODIFIED_CLENSHAW_CURTIS, FUNDAMENTAL_SPLINE, FUNDAMENTAL_SPLINE_MODIFIED, LINEAR, LINEAR_BOUNDARY, LINEAR_CLENSHAW_CURTIS, LINEAR_CLENSHAW_CURTIS_BOUNDARY, LINEAR_MODIFIED, WAVELET, WAVELET_BOUNDARY, WAVELET_MODIFIED, NAK_BSPLINEBOUNDARY_COMBIGRID }
	type of grid/basis functions More...

Protected Member Functions
double	evalBasisFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalBsplineBoundaryFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalBsplineClenshawCurtisFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalBsplineFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalBsplineModifiedClenshawCurtisFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalBsplineModifiedFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalFundamentalSplineFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalFundamentalSplineModifiedFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalLinearBoundaryFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalLinearClenshawCurtisBoundaryFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalLinearClenshawCurtisFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalLinearFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalLinearModifiedFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalNakBsplineBoundaryCombigridFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalWaveletBoundaryFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalWaveletFunctionAtGridPoint (size_t basisI, size_t pointJ)

double	evalWaveletModifiedFunctionAtGridPoint (size_t basisI, size_t pointJ)

Protected Attributes
enum sgpp::optimization::HierarchisationSLE:: { ... }	basisType
	type of grid/basis functions More...

std::unique_ptr< base::SBsplineBase >	bsplineBasis
	B-spline basis. More...

std::unique_ptr< base::SBsplineBoundaryBase >	bsplineBoundaryBasis
	B-spline boundary basis. More...

std::unique_ptr< base::SBsplineClenshawCurtisBase >	bsplineClenshawCurtisBasis
	B-spline Clenshaw-Curtis basis. More...

std::unique_ptr< base::SFundamentalSplineBase >	fundamentalSplineBasis
	fundamental spline basis More...

base::Grid &	grid
	sparse grid More...

base::GridStorage &	gridStorage
	grid storage More...

std::unique_ptr< base::SLinearBase >	linearBasis
	linear basis More...

std::unique_ptr< base::SLinearClenshawCurtisBase >	linearClenshawCurtisBasis
	linear Clenshaw-Curtis basis More...

std::unique_ptr< base::SLinearClenshawCurtisBoundaryBase >	linearClenshawCurtisBoundaryBasis
	linear Clenshaw-Curtis boundary basis More...

std::unique_ptr< base::SLinearBoundaryBase >	linearL0BoundaryBasis
	linear boundary basis More...

std::unique_ptr< base::SBsplineModifiedBase >	modBsplineBasis
	modified B-spline basis More...

std::unique_ptr< base::SBsplineModifiedClenshawCurtisBase >	modBsplineClenshawCurtisBasis
	modified B-spline Clenshaw-Curtis basis More...

std::unique_ptr< base::SFundamentalSplineModifiedBase >	modFundamentalSplineBasis
	modified fundamental spline basis More...

std::unique_ptr< base::SLinearModifiedBase >	modLinearBasis
	modified linear basis More...

std::unique_ptr< base::SWaveletModifiedBase >	modWaveletBasis
	modified wavelet basis More...

std::unique_ptr< base::SNakBsplineBoundaryCombigridBase >	nakBsplineBoundaryCombigridBasis
	not-a-knot B-spline Boundary basis More...

std::unique_ptr< base::SWaveletBase >	waveletBasis
	wavelet basis More...

std::unique_ptr< base::SWaveletBoundaryBase >	waveletBoundaryBasis
	wavelet boundary basis More...

Detailed Description

Linear system of the hierarchization in a sparse grid.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

protected

type of grid/basis functions

Enumerator
INVALID
BSPLINE
BSPLINE_BOUNDARY
BSPLINE_CLENSHAW_CURTIS
BSPLINE_MODIFIED
BSPLINE_MODIFIED_CLENSHAW_CURTIS
FUNDAMENTAL_SPLINE
FUNDAMENTAL_SPLINE_MODIFIED
LINEAR
LINEAR_BOUNDARY
LINEAR_CLENSHAW_CURTIS
LINEAR_CLENSHAW_CURTIS_BOUNDARY
LINEAR_MODIFIED
WAVELET
WAVELET_BOUNDARY
WAVELET_MODIFIED
NAK_BSPLINEBOUNDARY_COMBIGRID

Constructor & Destructor Documentation

◆ HierarchisationSLE() [1/2]

sgpp::optimization::HierarchisationSLE::HierarchisationSLE ( base::Grid & grid )

inlineexplicit

Constructor.

Do not destruct the grid before this object!

Parameters

grid	sparse grid

Referenced by clone().

◆ HierarchisationSLE() [2/2]

sgpp::optimization::HierarchisationSLE::HierarchisationSLE	(	base::Grid &	grid,
		base::GridStorage &	gridStorage
	)

inline

Constructor.

Do not destruct the grid before this object!

Parameters

grid	sparse grid
gridStorage	custom grid storage (use basis function according to grid, but use another set of grid points according to gridStorage)

References basisType, sgpp::base::Bspline, BSPLINE, BSPLINE_BOUNDARY, BSPLINE_CLENSHAW_CURTIS, BSPLINE_MODIFIED, BSPLINE_MODIFIED_CLENSHAW_CURTIS, bsplineBasis, sgpp::base::BsplineBoundary, bsplineBoundaryBasis, sgpp::base::BsplineClenshawCurtis, bsplineClenshawCurtisBasis, FUNDAMENTAL_SPLINE, FUNDAMENTAL_SPLINE_MODIFIED, sgpp::base::FundamentalSpline, fundamentalSplineBasis, python.uq.operations.sparse_grid::getDegree(), sgpp::base::Grid::getType(), sgpp::base::Linear, LINEAR, LINEAR_BOUNDARY, LINEAR_CLENSHAW_CURTIS, LINEAR_CLENSHAW_CURTIS_BOUNDARY, LINEAR_MODIFIED, linearBasis, sgpp::base::LinearBoundary, sgpp::base::LinearClenshawCurtis, linearClenshawCurtisBasis, sgpp::base::LinearClenshawCurtisBoundary, linearClenshawCurtisBoundaryBasis, linearL0BoundaryBasis, sgpp::base::ModBspline, modBsplineBasis, sgpp::base::ModBsplineClenshawCurtis, modBsplineClenshawCurtisBasis, sgpp::base::ModFundamentalSpline, modFundamentalSplineBasis, sgpp::base::ModLinear, modLinearBasis, sgpp::base::ModWavelet, modWaveletBasis, NAK_BSPLINEBOUNDARY_COMBIGRID, sgpp::base::NakBsplineBoundaryCombigrid, nakBsplineBoundaryCombigridBasis, sgpp::base::Wavelet, WAVELET, WAVELET_BOUNDARY, WAVELET_MODIFIED, waveletBasis, sgpp::base::WaveletBoundary, and waveletBoundaryBasis.

Member Function Documentation

◆ clone()

void sgpp::optimization::HierarchisationSLE::clone ( std::unique_ptr< CloneableSLE > & clone ) const

inlineoverridevirtual

Parameters

[out] clone pointer to cloned object

Implements sgpp::optimization::CloneableSLE.

References grid, gridStorage, and HierarchisationSLE().

◆ evalBasisFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalBasisFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th basis function at the pointJ-th grid point

Referenced by getMatrixEntry(), and isMatrixEntryNonZero().

◆ evalBsplineBoundaryFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalBsplineBoundaryFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th B-spline boundary basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalBsplineClenshawCurtisFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalBsplineClenshawCurtisFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th B-spline Clenshaw-Curtis basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalBsplineFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalBsplineFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th B-spline basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalBsplineModifiedClenshawCurtisFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalBsplineModifiedClenshawCurtisFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th modified Clenshaw-Curtis B-spline basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalBsplineModifiedFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalBsplineModifiedFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th modified B-spline basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalFundamentalSplineFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalFundamentalSplineFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th fundamental spline basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalFundamentalSplineModifiedFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalFundamentalSplineModifiedFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th modified fundamental spline basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalLinearBoundaryFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalLinearBoundaryFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th linear boundary basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalLinearClenshawCurtisBoundaryFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalLinearClenshawCurtisBoundaryFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th linear Clenshaw-Curtis boundary basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalLinearClenshawCurtisFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalLinearClenshawCurtisFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th linear Clenshaw-Curtis basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalLinearFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalLinearFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th linear basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalLinearModifiedFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalLinearModifiedFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th modified linear basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalNakBsplineBoundaryCombigridFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalNakBsplineBoundaryCombigridFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th not-a-knot B-spline basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getCoordinate(), sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), and sgpp::base::HashGridPoint::getLevel().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalWaveletBoundaryFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalWaveletBoundaryFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th wavelet boundary basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalWaveletFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalWaveletFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th wavelet basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ evalWaveletModifiedFunctionAtGridPoint()

double sgpp::optimization::HierarchisationSLE::evalWaveletModifiedFunctionAtGridPoint	(	size_t	basisI,
		size_t	pointJ
	)

inlineprotected

Parameters

basisI	basis function index
pointJ	grid point index

Returns: value of the basisI-th modified wavelet basis function at the pointJ-th grid point

References sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::HashGridPoint::getLevel(), and sgpp::base::HashGridStorage::getUnitCoordinate().

Referenced by evalBasisFunctionAtGridPoint().

◆ getDimension()

size_t sgpp::optimization::HierarchisationSLE::getDimension ( ) const

inlineoverridevirtual

Pure virtual method returning the dimension (number of rows/columns) of the system.

Returns: system dimension

Implements sgpp::optimization::SLE.

References sgpp::base::HashGridStorage::getSize(), and gridStorage.

◆ getGrid()

base::Grid& sgpp::optimization::HierarchisationSLE::getGrid ( )

inline

Returns: sparse grid

References grid.

◆ getGridStorage()

base::GridStorage& sgpp::optimization::HierarchisationSLE::getGridStorage ( )

inline

Returns: grid storage

References gridStorage.

◆ getMatrixEntry()

double sgpp::optimization::HierarchisationSLE::getMatrixEntry	(	size_t	i,
		size_t	j
	)

inlineoverridevirtual

Parameters

i	row index
j	column index

Returns: value of the j-th basis function at the i-th grid point

Implements sgpp::optimization::SLE.

References evalBasisFunctionAtGridPoint().

Referenced by sgpp::optimization::IterativeGridGeneratorLinearSurplus::generate().

◆ isMatrixEntryNonZero()

bool sgpp::optimization::HierarchisationSLE::isMatrixEntryNonZero	(	size_t	i,
		size_t	j
	)

inlineoverridevirtual

Parameters

i	row index
j	column index

Returns: whether the i-th grid point lies in the support of the j-th basis function

Implements sgpp::optimization::SLE.

References evalBasisFunctionAtGridPoint().

Member Data Documentation

◆ basisType

enum { ... } sgpp::optimization::HierarchisationSLE::basisType

type of grid/basis functions

Referenced by HierarchisationSLE().

◆ bsplineBasis

std::unique_ptr<base::SBsplineBase> sgpp::optimization::HierarchisationSLE::bsplineBasis

protected

B-spline basis.

Referenced by HierarchisationSLE().

◆ bsplineBoundaryBasis

std::unique_ptr<base::SBsplineBoundaryBase> sgpp::optimization::HierarchisationSLE::bsplineBoundaryBasis

protected

B-spline boundary basis.

Referenced by HierarchisationSLE().

◆ bsplineClenshawCurtisBasis

std::unique_ptr<base::SBsplineClenshawCurtisBase> sgpp::optimization::HierarchisationSLE::bsplineClenshawCurtisBasis

protected

B-spline Clenshaw-Curtis basis.

Referenced by HierarchisationSLE().

◆ fundamentalSplineBasis

std::unique_ptr<base::SFundamentalSplineBase> sgpp::optimization::HierarchisationSLE::fundamentalSplineBasis

protected

fundamental spline basis

Referenced by HierarchisationSLE().

◆ grid

base::Grid& sgpp::optimization::HierarchisationSLE::grid

protected

sparse grid

Referenced by clone(), python.uq.learner.Interpolant.Interpolant::doLearningIteration(), python.learner.Classifier.Classifier::evalError(), python.uq.learner.Interpolant.Interpolant::evalError(), python.uq.learner.SimulationLearner.SimulationLearner::getCollocationNodes(), python.uq.learner.SimulationLearner.SimulationLearner::getGrid(), getGrid(), python.uq.learner.SimulationLearner.SimulationLearner::getLearner(), python.uq.learner.Regressor.Regressor::learnData(), python.uq.learner.Regressor.Regressor::learnDataWithFolding(), python.uq.learner.Regressor.Regressor::learnDataWithTest(), python.learner.Classifier.Classifier::refineGrid(), python.learner.Regressor.Regressor::refineGrid(), python.uq.learner.Regressor.Regressor::refineGrid(), python.uq.learner.SimulationLearner.SimulationLearner::refineGrid(), python.learner.Classifier.Classifier::updateResults(), python.learner.Regressor.Regressor::updateResults(), and python.uq.learner.Regressor.Regressor::updateResults().

◆ gridStorage

base::GridStorage& sgpp::optimization::HierarchisationSLE::gridStorage

protected

grid storage

Referenced by clone(), getDimension(), and getGridStorage().

◆ linearBasis

std::unique_ptr<base::SLinearBase> sgpp::optimization::HierarchisationSLE::linearBasis

protected

linear basis

Referenced by HierarchisationSLE().

◆ linearClenshawCurtisBasis

std::unique_ptr<base::SLinearClenshawCurtisBase> sgpp::optimization::HierarchisationSLE::linearClenshawCurtisBasis

protected

linear Clenshaw-Curtis basis

Referenced by HierarchisationSLE().

◆ linearClenshawCurtisBoundaryBasis

std::unique_ptr<base::SLinearClenshawCurtisBoundaryBase> sgpp::optimization::HierarchisationSLE::linearClenshawCurtisBoundaryBasis

protected

linear Clenshaw-Curtis boundary basis

Referenced by HierarchisationSLE().

◆ linearL0BoundaryBasis

std::unique_ptr<base::SLinearBoundaryBase> sgpp::optimization::HierarchisationSLE::linearL0BoundaryBasis

protected

linear boundary basis

Referenced by HierarchisationSLE().

◆ modBsplineBasis

std::unique_ptr<base::SBsplineModifiedBase> sgpp::optimization::HierarchisationSLE::modBsplineBasis

protected

modified B-spline basis

Referenced by HierarchisationSLE().

◆ modBsplineClenshawCurtisBasis

std::unique_ptr<base::SBsplineModifiedClenshawCurtisBase> sgpp::optimization::HierarchisationSLE::modBsplineClenshawCurtisBasis

protected

modified B-spline Clenshaw-Curtis basis

Referenced by HierarchisationSLE().

◆ modFundamentalSplineBasis

std::unique_ptr<base::SFundamentalSplineModifiedBase> sgpp::optimization::HierarchisationSLE::modFundamentalSplineBasis

protected

modified fundamental spline basis

Referenced by HierarchisationSLE().

◆ modLinearBasis

std::unique_ptr<base::SLinearModifiedBase> sgpp::optimization::HierarchisationSLE::modLinearBasis

protected

modified linear basis

Referenced by HierarchisationSLE().

◆ modWaveletBasis

std::unique_ptr<base::SWaveletModifiedBase> sgpp::optimization::HierarchisationSLE::modWaveletBasis

protected

modified wavelet basis

Referenced by HierarchisationSLE().

◆ nakBsplineBoundaryCombigridBasis

std::unique_ptr<base::SNakBsplineBoundaryCombigridBase> sgpp::optimization::HierarchisationSLE::nakBsplineBoundaryCombigridBasis

protected

not-a-knot B-spline Boundary basis

Referenced by HierarchisationSLE().

◆ waveletBasis

std::unique_ptr<base::SWaveletBase> sgpp::optimization::HierarchisationSLE::waveletBasis

protected

wavelet basis

Referenced by HierarchisationSLE().

◆ waveletBoundaryBasis

std::unique_ptr<base::SWaveletBoundaryBase> sgpp::optimization::HierarchisationSLE::waveletBoundaryBasis

protected

wavelet boundary basis

Referenced by HierarchisationSLE().

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

optimization/src/sgpp/optimization/sle/system/HierarchisationSLE.hpp

Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Detailed Description

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ HierarchisationSLE() [1/2]

◆ HierarchisationSLE() [2/2]

Member Function Documentation

◆ clone()

◆ evalBasisFunctionAtGridPoint()

◆ evalBsplineBoundaryFunctionAtGridPoint()

◆ evalBsplineClenshawCurtisFunctionAtGridPoint()

◆ evalBsplineFunctionAtGridPoint()

◆ evalBsplineModifiedClenshawCurtisFunctionAtGridPoint()

◆ evalBsplineModifiedFunctionAtGridPoint()

◆ evalFundamentalSplineFunctionAtGridPoint()

◆ evalFundamentalSplineModifiedFunctionAtGridPoint()

◆ evalLinearBoundaryFunctionAtGridPoint()

◆ evalLinearClenshawCurtisBoundaryFunctionAtGridPoint()

◆ evalLinearClenshawCurtisFunctionAtGridPoint()

◆ evalLinearFunctionAtGridPoint()

◆ evalLinearModifiedFunctionAtGridPoint()

◆ evalNakBsplineBoundaryCombigridFunctionAtGridPoint()

◆ evalWaveletBoundaryFunctionAtGridPoint()

◆ evalWaveletFunctionAtGridPoint()

◆ evalWaveletModifiedFunctionAtGridPoint()

◆ getDimension()

◆ getGrid()

◆ getGridStorage()

◆ getMatrixEntry()

◆ isMatrixEntryNonZero()

Member Data Documentation

◆ basisType

◆ bsplineBasis

◆ bsplineBoundaryBasis

◆ bsplineClenshawCurtisBasis

◆ fundamentalSplineBasis

◆ grid

◆ gridStorage

◆ linearBasis

◆ linearClenshawCurtisBasis

◆ linearClenshawCurtisBoundaryBasis

◆ linearL0BoundaryBasis

◆ modBsplineBasis

◆ modBsplineClenshawCurtisBasis

◆ modFundamentalSplineBasis

◆ modLinearBasis

◆ modWaveletBasis

◆ nakBsplineBoundaryCombigridBasis

◆ waveletBasis

◆ waveletBoundaryBasis