sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT > Class Template Reference

B-spline basis on Clenshaw-Curtis grids. More...

#include <BsplineModifiedClenshawCurtisBasis.hpp>

Inheritance diagram for sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >:

Public Member Functions
	BsplineModifiedClenshawCurtisBasis ()
	Default constructor.
	BsplineModifiedClenshawCurtisBasis (size_t degree)
	Constructor.
double	clenshawCurtisPoint (LT l, IT i) const
double	clenshawCurtisPointNegativeIndex (LT l, IT ni) const
double	eval (LT l, IT i, double x) override
double	evalDx (LT l, IT i, double x) override
double	evalDxDx (LT l, IT i, double x)
size_t	getDegree () const override
double	getIntegral (LT l, IT i) override
	~BsplineModifiedClenshawCurtisBasis () override
	Destructor.
Public Member Functions inherited from sgpp::base::Basis< LT, IT >
virtual	~Basis ()
	Destructor.

Protected Member Functions
double	clenshawCurtisPoint (LT l, IT i, IT hInv) const
double	clenshawCurtisPointNegativeIndex (LT l, IT ni, IT hInv) const
void	constructKnots (LT l, IT i, IT hInv)
	Construct the (p+2) Clenshaw-Curtis knots of a B-spline basis function and save them in xi.
void	constructKnotsNegativeIndex (LT l, IT ni, IT hInv)
	Construct the (p+2) Clenshaw-Curtis knots of a B-spline basis function and save them in xi.
double	modifiedBSpline (LT l, IT hInv, double x, size_t p)
double	modifiedBSplineDx (LT l, IT hInv, double x, size_t p)
double	modifiedBSplineDxDx (LT l, IT hInv, double x, size_t p)
double	nonUniformBSpline (double x, size_t p, size_t k) const
double	nonUniformBSplineDx (double x, size_t p, size_t k) const
double	nonUniformBSplineDxDx (double x, size_t p, size_t k) const

Protected Attributes
ClenshawCurtisTable &	clenshawCurtisTable
	reference to the Clenshaw-Curtis cache table
DataVector	coordinates
size_t	degree
	degree of the B-spline
bool	integrationInitialized = false
DataVector	weights
std::vector< double >	xi
	temporary helper vector of fixed size p+2 containing B-spline knots
omp_nest_lock_t	xiLock

Detailed Description

template<class LT, class IT>
class sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >

B-spline basis on Clenshaw-Curtis grids.

Constructor & Destructor Documentation

BsplineModifiedClenshawCurtisBasis() [1/2]

template<class LT , class IT >

sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::BsplineModifiedClenshawCurtisBasis ( )

inline

Default constructor.

BsplineModifiedClenshawCurtisBasis() [2/2]

template<class LT , class IT >

sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::BsplineModifiedClenshawCurtisBasis ( size_t  degree )

inlineexplicit

Constructor.

Parameters

degree

B-spline degree, must be odd (if it's even, degree - 1 is used)

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::degree, and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::xiLock.

~BsplineModifiedClenshawCurtisBasis()

template<class LT , class IT >

sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::~BsplineModifiedClenshawCurtisBasis ( )

inlineoverride

Destructor.

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::xiLock.

Member Function Documentation

clenshawCurtisPoint() [1/2]

template<class LT , class IT >

double sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPoint ( LT  l, IT  i  ) const

inline

Parameters

l	level of the grid point
i	index of the grid point

Returns

i-th Clenshaw-Curtis grid point with level l

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPoint().

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPoint(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnots(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnotsNegativeIndex(), sgpp::pde::OperationLaplaceModBsplineClenshawCurtis::mult(), and sgpp::pde::OperationMatrixLTwoDotModBsplineClenshawCurtis::mult().

clenshawCurtisPoint() [2/2]

template<class LT , class IT >

double sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPoint ( LT  l, IT  i, IT  hInv  ) const

inlineprotected

Parameters

l	level of the grid point
i	index of the grid point
hInv	2^l

Returns

i-th Clenshaw-Curtis grid point with level l

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisTable, and sgpp::base::ClenshawCurtisTable::getPoint().

clenshawCurtisPointNegativeIndex() [1/2]

template<class LT , class IT >

double sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPointNegativeIndex ( LT  l, IT  ni  ) const

inline

Parameters

l	level of the grid point
ni	neagtive index -i of the grid point

Returns

(-ni)-th Clenshaw-Curtis grid point with level l

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPointNegativeIndex().

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPointNegativeIndex(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnots(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnotsNegativeIndex().

clenshawCurtisPointNegativeIndex() [2/2]

template<class LT , class IT >

double sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPointNegativeIndex ( LT  l, IT  ni, IT  hInv  ) const

inlineprotected

Parameters

l	level of the grid point
ni	negative index -i of the grid point
hInv	2^l

Returns

(-ni)-th Clenshaw-Curtis grid point with level l

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisTable, and sgpp::base::ClenshawCurtisTable::getPoint().

constructKnots()

template<class LT , class IT >

void sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnots ( LT  l, IT  i, IT  hInv  )

inlineprotected

Construct the (p+2) Clenshaw-Curtis knots of a B-spline basis function and save them in xi.

Parameters

l	level of basis function
i	index of basis function
hInv	2^l

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPoint(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPointNegativeIndex(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::degree, and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::xi.

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::eval(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::evalDx(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::evalDxDx(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::getIntegral(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSpline(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSplineDx(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSplineDxDx().

constructKnotsNegativeIndex()

template<class LT , class IT >

void sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnotsNegativeIndex ( LT  l, IT  ni, IT  hInv  )

inlineprotected

Construct the (p+2) Clenshaw-Curtis knots of a B-spline basis function and save them in xi.

Parameters

l	level of basis function
ni	negative index -i of basis function
hInv	2^l

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPoint(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPointNegativeIndex(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::degree, and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::xi.

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSpline(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSplineDx(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSplineDxDx().

eval()

template<class LT , class IT >

double sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::eval ( LT  l, IT  i, double  x  )

inlineoverridevirtual

Parameters

l	level of basis function
i	index of basis function
x	evaluation point

Returns

value of modified Clenshaw-Curtis B-spline basis function

Implements sgpp::base::Basis< LT, IT >.

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnots(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::degree, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSpline(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSpline(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::xiLock.

Referenced by python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis::estimateDensity(), sgpp::base::OperationEvalModBsplineClenshawCurtisNaive::eval(), sgpp::base::OperationEvalModBsplineClenshawCurtisNaive::eval(), sgpp::base::OperationEvalGradientModBsplineClenshawCurtisNaive::evalGradient(), sgpp::base::OperationEvalGradientModBsplineClenshawCurtisNaive::evalGradient(), sgpp::base::OperationEvalHessianModBsplineClenshawCurtisNaive::evalHessian(), sgpp::base::OperationEvalHessianModBsplineClenshawCurtisNaive::evalHessian(), sgpp::base::OperationEvalPartialDerivativeModBsplineClenshawCurtisNaive::evalPartialDerivative(), sgpp::base::OperationEvalPartialDerivativeModBsplineClenshawCurtisNaive::evalPartialDerivative(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::getIntegral(), sgpp::base::OperationMultipleEvalModBsplineClenshawCurtisNaive::mult(), sgpp::pde::OperationLaplaceModBsplineClenshawCurtis::mult(), sgpp::pde::OperationMatrixLTwoDotModBsplineClenshawCurtis::mult(), and sgpp::base::OperationMultipleEvalModBsplineClenshawCurtisNaive::multTranspose().

evalDx()

template<class LT , class IT >

double sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::evalDx ( LT  l, IT  i, double  x  )

inlineoverridevirtual

Parameters

l	level of basis function
i	index of basis function
x	evaluation point

Returns

value of derivative of modified Clenshaw-Curtis B-spline basis function

Implements sgpp::base::Basis< LT, IT >.

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnots(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::degree, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSplineDx(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSplineDx(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::xiLock.

Referenced by sgpp::base::OperationEvalGradientModBsplineClenshawCurtisNaive::evalGradient(), sgpp::base::OperationEvalGradientModBsplineClenshawCurtisNaive::evalGradient(), sgpp::base::OperationEvalHessianModBsplineClenshawCurtisNaive::evalHessian(), sgpp::base::OperationEvalHessianModBsplineClenshawCurtisNaive::evalHessian(), sgpp::base::OperationEvalPartialDerivativeModBsplineClenshawCurtisNaive::evalPartialDerivative(), sgpp::base::OperationEvalPartialDerivativeModBsplineClenshawCurtisNaive::evalPartialDerivative(), and sgpp::pde::OperationLaplaceModBsplineClenshawCurtis::mult().

evalDxDx()

template<class LT , class IT >

double sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::evalDxDx ( LT  l, IT  i, double  x  )

inline

Parameters

l	level of basis function
i	index of basis function
x	evaluation point

Returns

value of 2nd derivative of modified Clenshaw-Curtis B-spline basis function

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnots(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::degree, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSplineDxDx(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSplineDxDx(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::xiLock.

Referenced by sgpp::base::OperationEvalHessianModBsplineClenshawCurtisNaive::evalHessian(), and sgpp::base::OperationEvalHessianModBsplineClenshawCurtisNaive::evalHessian().

getDegree()

template<class LT , class IT >

size_t sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::getDegree ( ) const

inlineoverridevirtual

Returns

B-spline degree

Implements sgpp::base::Basis< LT, IT >.

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::degree.

getIntegral()

template<class LT , class IT >

double sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::getIntegral ( LT  l, IT  i  )

inlineoverridevirtual

Parameters

l	level of basis function
i	index of basis function

Returns

value of the integral

Implements sgpp::base::Basis< LT, IT >.

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnots(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::coordinates, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::degree, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::eval(), sgpp::base::GaussLegendreQuadRule1D::getLevelPointsAndWeightsNormalized(), h, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::integrationInitialized, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::weights, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::xi, and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::xiLock.

Referenced by sgpp::base::OperationQuadratureModBsplineClenshawCurtis::doQuadrature().

modifiedBSpline()

template<class LT , class IT >

double sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSpline ( LT  l, IT  hInv, double  x, size_t  p  )

inlineprotected

Parameters

l	level of basis function
hInv	2^l
x	evaluation point
p	B-spline degree

Returns

value of modified Clenshaw-Curtis B-spline (e.g. index == 1)

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnots(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnotsNegativeIndex(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::degree, and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSpline().

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::eval().

modifiedBSplineDx()

template<class LT , class IT >

double sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSplineDx ( LT  l, IT  hInv, double  x, size_t  p  )

inlineprotected

Parameters

l	level of basis function
hInv	2^l
x	evaluation point
p	B-spline degree

Returns

value of derivative of modified Clenshaw-Curtis B-spline (e.g. index == 1)

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnots(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnotsNegativeIndex(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::degree, and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSplineDx().

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::evalDx().

modifiedBSplineDxDx()

template<class LT , class IT >

double sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSplineDxDx ( LT  l, IT  hInv, double  x, size_t  p  )

inlineprotected

Parameters

l	level of basis function
hInv	2^l
x	evaluation point
p	B-spline degree

Returns

value of 2nd derivative of modified Clenshaw-Curtis B-spline (e.g. index == 1)

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnots(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnotsNegativeIndex(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::degree, and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSplineDxDx().

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::evalDxDx().

nonUniformBSpline()

template<class LT , class IT >

double sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSpline ( double  x, size_t  p, size_t  k  ) const

inlineprotected

Parameters

x	evaluation point
p	B-spline degree
k	index of B-spline in the knot sequence

Returns

value of non-uniform B-spline with knots \(\{\xi_k, ... \xi_{k+p+1}\}\)

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSpline(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::xi.

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::eval(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSpline(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSpline(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSplineDx(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSplineDxDx().

nonUniformBSplineDx()

template<class LT , class IT >

double sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSplineDx ( double  x, size_t  p, size_t  k  ) const

inlineprotected

Parameters

x	evaluation point
p	B-spline degree
k	index of B-spline in the knot sequence

Returns

value of derivative of non-uniform B-spline with knots \(\{\xi_k, ... \xi_{k+p+1}\}\)

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSpline(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::xi.

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::evalDx(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSplineDx().

nonUniformBSplineDxDx()

template<class LT , class IT >

double sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSplineDxDx ( double  x, size_t  p, size_t  k  ) const

inlineprotected

Parameters

x	evaluation point
p	B-spline degree
k	index of B-spline in the knot sequence

Returns

value of 2nd derivative of non-uniform B-spline with knots \(\{\xi_k, ... \xi_{k+p+1}\}\)

References sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSpline(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::xi.

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::evalDxDx(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSplineDxDx().

Member Data Documentation

clenshawCurtisTable

template<class LT , class IT >

ClenshawCurtisTable& sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisTable

protected

reference to the Clenshaw-Curtis cache table

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPoint(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::clenshawCurtisPointNegativeIndex().

coordinates

template<class LT , class IT >

DataVector sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::coordinates

protected

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::getIntegral().

degree

template<class LT , class IT >

size_t sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::degree

protected

degree of the B-spline

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::BsplineModifiedClenshawCurtisBasis(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnots(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnotsNegativeIndex(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::eval(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::evalDx(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::evalDxDx(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::getDegree(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::getIntegral(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSpline(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSplineDx(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::modifiedBSplineDxDx().

integrationInitialized

template<class LT , class IT >

bool sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::integrationInitialized = false

protected

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::getIntegral().

weights

template<class LT , class IT >

DataVector sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::weights

protected

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::getIntegral().

xi

template<class LT , class IT >

std::vector<double> sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::xi

protected

temporary helper vector of fixed size p+2 containing B-spline knots

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnots(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::constructKnotsNegativeIndex(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::getIntegral(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSpline(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSplineDx(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::nonUniformBSplineDxDx().

xiLock

template<class LT , class IT >

omp_nest_lock_t sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::xiLock

protected

Referenced by sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::BsplineModifiedClenshawCurtisBasis(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::eval(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::evalDx(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::evalDxDx(), sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::getIntegral(), and sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >::~BsplineModifiedClenshawCurtisBasis().

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

• base/src/sgpp/base/operation/hash/common/basis/BsplineModifiedClenshawCurtisBasis.hpp