sgpp::base::ClenshawCurtisTable Class Reference

Lookup table for 1D Clenshaw-Curtis points. More...

#include <ClenshawCurtisTable.hpp>

Public Types
typedef HashGridPoint::index_type	index_type
typedef HashGridPoint::level_type	level_type

Public Member Functions
double	getPoint (level_type l, index_type i) const
double	getPoint (level_type l, index_type i, index_type hInv) const

Static Public Member Functions
static ClenshawCurtisTable &	getInstance ()

Static Public Attributes
static const level_type	DEFAULT_MAX_LEVEL = 16
	default number of intervals

Protected Member Functions
double	calculatePoint (double h, index_type i) const
double	calculatePoint (index_type hInv, index_type i) const

Protected Attributes
level_type	maxLevel
	maximal level
DataVector	table
	lookup table

Detailed Description

Lookup table for 1D Clenshaw-Curtis points.

This class precomputes the first maxLevel levels of a 1D Clenshaw-Curtis grid to increase performance of Clenshaw-Curtis grids.

Member Typedef Documentation

index_type

typedef HashGridPoint::index_type sgpp::base::ClenshawCurtisTable::index_type

level_type

typedef HashGridPoint::level_type sgpp::base::ClenshawCurtisTable::level_type

Member Function Documentation

calculatePoint() [1/2]

double sgpp::base::ClenshawCurtisTable::calculatePoint ( double  h, index_type  i  ) const

inlineprotected

Parameters

h	step width of the grid point (2^(-l))
i	index of the grid point (can be even)

References h, and M_PI.

calculatePoint() [2/2]

double sgpp::base::ClenshawCurtisTable::calculatePoint ( index_type  hInv, index_type  i  ) const

inlineprotected

Parameters

hInv	2^l
i	index of the grid point (can be even)

References calculatePoint().

Referenced by calculatePoint(), getPoint(), and getPoint().

getInstance()

ClenshawCurtisTable & sgpp::base::ClenshawCurtisTable::getInstance ( )

static

getPoint() [1/2]

double sgpp::base::ClenshawCurtisTable::getPoint ( level_type  l, index_type  i  ) const

inline

Parameters

l	level of the grid point
i	index of the grid point (can be even)

References calculatePoint(), sgpp::base::DataVector::get(), maxLevel, and table.

Referenced by sgpp::base::BsplineClenshawCurtisBasis< LT, IT >::clenshawCurtisPoint(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPoint(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPointNegativeIndex(), sgpp::base::BsplineClenshawCurtisBasis< LT, IT >::constructKnots(), sgpp::base::OperationFirstMomentBsplineClenshawCurtis::doQuadrature(), sgpp::base::OperationFirstMomentModBsplineClenshawCurtis::doQuadrature(), sgpp::base::OperationFirstMomentModPolyClenshawCurtis::doQuadrature(), sgpp::base::OperationFirstMomentPolyClenshawCurtis::doQuadrature(), sgpp::base::OperationFirstMomentPolyClenshawCurtisBoundary::doQuadrature(), sgpp::base::OperationSecondMomentBsplineClenshawCurtis::doQuadrature(), sgpp::base::OperationSecondMomentModBsplineClenshawCurtis::doQuadrature(), sgpp::base::OperationSecondMomentModPolyClenshawCurtis::doQuadrature(), sgpp::base::OperationSecondMomentPolyClenshawCurtis::doQuadrature(), sgpp::base::OperationSecondMomentPolyClenshawCurtisBoundary::doQuadrature(), sgpp::base::LinearClenshawCurtisBasis< LT, IT >::eval(), sgpp::base::LinearModifiedClenshawCurtisBasis< LT, IT >::eval(), sgpp::base::PolyClenshawCurtisBasis< LT, IT >::eval(), sgpp::base::PolyModifiedClenshawCurtisBasis< LT, IT >::eval(), sgpp::base::PolyClenshawCurtisBasis< LT, IT >::evalBasis(), sgpp::base::PolyClenshawCurtisBasis< LT, IT >::evalDx(), sgpp::base::PolyModifiedClenshawCurtisBasis< LT, IT >::evalDx(), sgpp::base::LinearClenshawCurtisBasis< LT, IT >::getIntegral(), sgpp::base::LinearModifiedClenshawCurtisBasis< LT, IT >::getIntegral(), sgpp::base::PolyClenshawCurtisBasis< LT, IT >::getIntegral(), sgpp::base::PolyModifiedClenshawCurtisBasis< LT, IT >::getIntegral(), sgpp::pde::OperationLaplaceBsplineClenshawCurtis::mult(), sgpp::pde::OperationLaplaceModBsplineClenshawCurtis::mult(), sgpp::pde::OperationLaplaceModPolyClenshawCurtis::mult(), sgpp::pde::OperationLaplacePolyClenshawCurtis::mult(), sgpp::pde::OperationLaplacePolyClenshawCurtisBoundary::mult(), sgpp::pde::OperationMatrixLTwoDotModPolyClenshawCurtis::mult(), sgpp::pde::OperationMatrixLTwoDotPolyClenshawCurtis::mult(), sgpp::pde::OperationMatrixLTwoDotPolyClenshawCurtisBoundary::mult(), sgpp::base::DehierarchisationLinearClenshawCurtisBoundary::operator()(), sgpp::base::HierarchisationLinearClenshawCurtisBoundary::operator()(), sgpp::base::DehierarchisationModLinearClenshawCurtis::rec(), sgpp::base::DehierarchisationModPolyClenshawCurtis::rec(), sgpp::base::DehierarchisationPolyClenshawCurtis::rec(), sgpp::base::DehierarchisationPolyClenshawCurtisBoundary::rec(), sgpp::base::HierarchisationModLinearClenshawCurtis::rec(), sgpp::base::HierarchisationModPolyClenshawCurtis::rec(), sgpp::base::HierarchisationPolyClenshawCurtis::rec(), sgpp::base::HierarchisationPolyClenshawCurtisBoundary::rec(), sgpp::base::DehierarchisationLinearClenshawCurtis::rec(), sgpp::base::DehierarchisationLinearClenshawCurtisBoundary::rec(), sgpp::base::HierarchisationLinearClenshawCurtis::rec(), and sgpp::base::HierarchisationLinearClenshawCurtisBoundary::rec().

getPoint() [2/2]

double sgpp::base::ClenshawCurtisTable::getPoint ( level_type  l, index_type  i, index_type  hInv  ) const

inline

Parameters

l	level of the grid point
i	index of the grid point (can be even)
hInv	2^l

References calculatePoint(), sgpp::base::DataVector::get(), maxLevel, and table.

Member Data Documentation

DEFAULT_MAX_LEVEL

const level_type sgpp::base::ClenshawCurtisTable::DEFAULT_MAX_LEVEL = 16

static

default number of intervals

maxLevel

level_type sgpp::base::ClenshawCurtisTable::maxLevel

protected

maximal level

Referenced by python.uq.operations.forcePositivity.localHierarchicalIntersectionSearch.LocalHierarchicalIntersectionCandidates::getMaxLevelOfChildrenUpToMaxLevel(), getPoint(), getPoint(), python.uq.refinement.AdmissibleSet.AdmissibleSetGenerator::insertPoint(), and python.uq.operations.forcePositivity.operationMakePositiveFast.OperationMakePositiveFast::makePositive().

table

DataVector sgpp::base::ClenshawCurtisTable::table

protected

lookup table

Referenced by getPoint(), and getPoint().

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

• base/src/sgpp/base/tools/ClenshawCurtisTable.hpp
• base/src/sgpp/base/tools/ClenshawCurtisTable.cpp