Operation for evaluating spline linear combinations on Boundary grids with not-a-knot boundary conditions, their gradients and their Hessians. More...

#include <OperationEvalHessianNakBsplineBoundaryNaive.hpp>

Inheritance diagram for sgpp::base::OperationEvalHessianNakBsplineBoundaryNaive:

Public Member Functions
void	evalHessian (const DataMatrix &alpha, const DataVector &point, DataVector &value, DataMatrix &gradient, std::vector< DataMatrix > &hessian) override

double	evalHessian (const DataVector &alpha, const DataVector &point, DataVector &gradient, DataMatrix &hessian) override

	OperationEvalHessianNakBsplineBoundaryNaive (GridStorage &storage, size_t degree)
	Constructor.

	~OperationEvalHessianNakBsplineBoundaryNaive () override
	Destructor.

Public Member Functions inherited from sgpp::base::OperationEvalHessian
	OperationEvalHessian ()
	Constructor.

virtual	~OperationEvalHessian ()
	Destructor.

Protected Attributes
SNakBsplineBase	base
	1D spline basis

SNakBsplineBaseDeriv1	baseDeriv1
	1D spline basis derivative

SNakBsplineBaseDeriv2	baseDeriv2
	1D spline basis 2nd derivative

DataVector	innerDerivative
	inner derivative (temporary vector)

DataVector	pointInUnitCube
	untransformed evaluation point (temporary vector)

GridStorage &	storage
	storage of the sparse grid

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

Detailed Description

Operation for evaluating spline linear combinations on Boundary grids with not-a-knot boundary conditions, their gradients and their Hessians.

Constructor & Destructor Documentation

◆ OperationEvalHessianNakBsplineBoundaryNaive()

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

inline

Constructor.

Parameters

storage	storage of the sparse grid
degree	B-spline degree

◆ ~OperationEvalHessianNakBsplineBoundaryNaive()

sgpp::base::OperationEvalHessianNakBsplineBoundaryNaive::~OperationEvalHessianNakBsplineBoundaryNaive ( )

inlineoverride

Destructor.

Member Function Documentation

◆ evalHessian() [1/2]

void sgpp::base::OperationEvalHessianNakBsplineBoundaryNaive::evalHessian	(	const DataMatrix &	alpha,
		const DataVector &	point,
		DataVector &	value,
		DataMatrix &	gradient,
		std::vector< DataMatrix > &	hessian
	)

overridevirtual

Parameters

	alpha	coefficient matrix (each column is a coefficient vector)
	point	evaluation point
[out]	value	values of the linear combination
[out]	gradient	Jacobian of the linear combination (each row is a gradient vector)
[out]	hessian	vector of Hessians of the linear combination

Reimplemented from sgpp::base::OperationEvalHessian.

References alpha, base, baseDeriv1, baseDeriv2, sgpp::base::NakBsplineBasis< LT, IT >::eval(), sgpp::base::NakBsplineBasisDeriv1< LT, IT >::eval(), sgpp::base::NakBsplineBasisDeriv2< 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(), innerDerivative, m, pointInUnitCube, sgpp::base::DataMatrix::resize(), sgpp::base::DataMatrix::setAll(), sgpp::base::DataVector::setAll(), storage, and sgpp::base::BoundingBox::transformPointToUnitCube().

◆ evalHessian() [2/2]

double sgpp::base::OperationEvalHessianNakBsplineBoundaryNaive::evalHessian	(	const DataVector &	alpha,
		const DataVector &	point,
		DataVector &	gradient,
		DataMatrix &	hessian
	)

overridevirtual

Parameters

	alpha	coefficient vector
	point	evaluation point
[out]	gradient	gradient vector of the linear combination
[out]	hessian	Hessian matrix of the linear combination