sgpp::base::OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive Class Reference

Operation for evaluating partial derivatives of modified weakly fundamental spline linear combinations on Noboundary grids. More...

#include <OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive.hpp>

Inheritance diagram for sgpp::base::OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive:

Public Member Functions
void	evalPartialDerivative (const DataMatrix &alpha, const DataVector &point, size_t derivDim, DataVector &value, DataVector &partialDerivative) override
double	evalPartialDerivative (const DataVector &alpha, const DataVector &point, size_t derivDim, double &partialDerivative) override
	OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive (GridStorage &storage, size_t degree)
	Constructor.
	~OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive () override
	Destructor.
Public Member Functions inherited from sgpp::base::OperationEvalPartialDerivative
	OperationEvalPartialDerivative ()
	Constructor.
virtual	~OperationEvalPartialDerivative ()
	Destructor.

Protected Attributes
SWeaklyFundamentalNakSplineModifiedBase	base
	1D spline basis
SWeaklyFundamentalNakSplineModifiedBaseDeriv1	baseDeriv1
	1D spline basis derivative
DataVector	pointInUnitCube
	untransformed evaluation point (temporary vector)
GridStorage &	storage
	storage of the sparse grid

Additional Inherited Members
Public Attributes inherited from sgpp::base::OperationEvalPartialDerivative
DataVector	pointInUnitCube
	untransformed evaluation point (temporary vector)

Detailed Description

Operation for evaluating partial derivatives of modified weakly fundamental spline linear combinations on Noboundary grids.

Constructor & Destructor Documentation

OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive()

sgpp::base::OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive::OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive ( GridStorage &  storage, size_t  degree  )

inline

Constructor.

Parameters

storage	storage of the sparse grid
degree	B-spline degree

~OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive()

sgpp::base::OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive::~OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive ( )

inlineoverride

Destructor.

Member Function Documentation

evalPartialDerivative() [1/2]

void sgpp::base::OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive::evalPartialDerivative ( const DataMatrix &  alpha, const DataVector &  point, size_t  derivDim, DataVector &  value, DataVector &  partialDerivative  )

overridevirtual

Parameters

	alpha	coefficient matrix (each column is a coefficient vector)
	point	evaluation point
	derivDim	dimension in which the partial derivative should be taken (0, ..., d-1)
[out]	value	values of the linear combination
[out]	partialDerivative	values of the partial derivatives of the linear combination (the j-th entry corresponds to the j-th column of alpha)

Reimplemented from sgpp::base::OperationEvalPartialDerivative.

References alpha, base, baseDeriv1, sgpp::base::WeaklyFundamentalNakSplineModifiedBasis< LT, IT >::eval(), sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv1< LT, IT >::eval(), sgpp::base::HashGridStorage::getBoundingBox(), sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::BoundingBox::getIntervalWidth(), sgpp::base::HashGridPoint::getLevel(), sgpp::base::HashGridStorage::getSize(), m, pointInUnitCube, sgpp::base::DataVector::setAll(), storage, and sgpp::base::BoundingBox::transformPointToUnitCube().

evalPartialDerivative() [2/2]

double sgpp::base::OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive::evalPartialDerivative ( const DataVector &  alpha, const DataVector &  point, size_t  derivDim, double &  partialDerivative  )

overridevirtual

Parameters

	alpha	coefficient vector
	point	evaluation point
	derivDim	dimension in which the partial derivative should be taken (0, ..., d-1)
[out]	partialDerivative	value of the partial derivative of the linear combination

Returns

value of the linear combination

Implements sgpp::base::OperationEvalPartialDerivative.

References alpha, base, baseDeriv1, sgpp::base::WeaklyFundamentalNakSplineModifiedBasis< LT, IT >::eval(), sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv1< LT, IT >::eval(), sgpp::base::HashGridStorage::getBoundingBox(), sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::BoundingBox::getIntervalWidth(), sgpp::base::HashGridPoint::getLevel(), sgpp::base::HashGridStorage::getSize(), pointInUnitCube, storage, and sgpp::base::BoundingBox::transformPointToUnitCube().

Member Data Documentation

base

SWeaklyFundamentalNakSplineModifiedBase sgpp::base::OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive::base

protected

1D spline basis

Referenced by evalPartialDerivative(), and evalPartialDerivative().

baseDeriv1

SWeaklyFundamentalNakSplineModifiedBaseDeriv1 sgpp::base::OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive::baseDeriv1

protected

1D spline basis derivative

Referenced by evalPartialDerivative(), and evalPartialDerivative().

pointInUnitCube

DataVector sgpp::base::OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive::pointInUnitCube

protected

untransformed evaluation point (temporary vector)

Referenced by evalPartialDerivative(), and evalPartialDerivative().

storage

GridStorage& sgpp::base::OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive::storage

protected

storage of the sparse grid

Referenced by evalPartialDerivative(), and evalPartialDerivative().

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

• base/src/sgpp/base/operation/hash/OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive.hpp
• base/src/sgpp/base/operation/hash/OperationEvalPartialDerivativeModWeaklyFundamentalNakSplineNaive.cpp