Sundance::Legendre Class Reference

Inheritance diagram for Sundance::Legendre:

List of all members.

Public Member Functions
	Legendre (int order)
bool	supportsCellTypePair (const CellType &maximalCellType, const CellType &cellType) const
	Inform caller as to whether a given cell type is supported.
void	print (std::ostream &os) const
int	order () const
int	nReferenceDOFsWithoutFacets (const CellType &maximalCellType, const CellType &cellType) const
void	getReferenceDOFs (const CellType &maximalCellType, const CellType &cellType, Array< Array< Array< int > > > &dofs) const
void	refEval (const CellType &cellType, const Array< Point > &pts, const SpatialDerivSpecifier &deriv, Array< Array< Array< double > > > &result, int verbosity=0) const
Handleable interface
int	order_
int	nrDOF_edge_
int	nrDOF_face_
int	nrDOF_brick_
static Array< int >	makeRange (int low, int high)
void	evalOnLine (const Point &pt, const MultiIndex &deriv, Array< double > &result) const
void	evalOnQuad (const Point &pt, const MultiIndex &deriv, Array< double > &result) const
void	evalOnBrick (const Point &pt, const MultiIndex &deriv, Array< double > &result) const

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Detailed Description

Legendre basis

Definition at line 54 of file SundanceLegendre.hpp.

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Constructor & Destructor Documentation

Legendre::Legendre

(

int

order

)

2param order [in] order of the Legendre

Definition at line 54 of file SundanceLegendre.cpp.

References nrDOF_brick_, nrDOF_edge_, nrDOF_face_, and order_.

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Member Function Documentation

void Legendre::evalOnBrick	(	const Point &	pt,
		const MultiIndex &	deriv,
		Array< double > &	result
	)		const [private]

evaluate on a tet cell

Definition at line 389 of file SundanceLegendre.cpp.

Referenced by refEval().

void Legendre::evalOnLine	(	const Point &	pt,
		const MultiIndex &	deriv,
		Array< double > &	result
	)		const [private]

evaluate on a line cell

Definition at line 269 of file SundanceLegendre.cpp.

References nrDOF_edge_, Sundance::MultiIndex::order(), and Sundance::ADReal::value().

Referenced by refEval().

void Legendre::evalOnQuad	(	const Point &	pt,
		const MultiIndex &	deriv,
		Array< double > &	result
	)		const [private]

evaluate on a triangle cell

Definition at line 303 of file SundanceLegendre.cpp.

References Sundance::MultiIndex::firstOrderDirection(), nrDOF_edge_, nrDOF_face_, Sundance::MultiIndex::order(), order_, SUNDANCE_OUT, Sundance::value, Sundance::ADReal::value(), and Playa::ObjectWithVerbosity::verb().

Referenced by refEval().

void Legendre::getReferenceDOFs	(	const CellType &	maximalCellType,
		const CellType &	cellType,
		Array< Array< Array< int > > > &	dofs
	)		const [virtual]

Implements Sundance::BasisDOFTopologyBase.

Definition at line 147 of file SundanceLegendre.cpp.

References Sundance::LineCell, makeRange(), nrDOF_edge_, nrDOF_face_, Sundance::PointCell, and Sundance::QuadCell.

Array< int > Legendre::makeRange	(	int	low,
		int	high
	)		[static, private]

Definition at line 138 of file SundanceLegendre.cpp.

Referenced by getReferenceDOFs().

int Legendre::nReferenceDOFsWithoutFacets	(	const CellType &	maximalCellType,
		const CellType &	cellType
	)		const [virtual]

return the number of nodes for this basis on the given cell type

Implements Sundance::BasisDOFTopologyBase.

Definition at line 117 of file SundanceLegendre.cpp.

References Sundance::BrickCell, Sundance::LineCell, nrDOF_brick_, nrDOF_edge_, nrDOF_face_, Sundance::PointCell, and Sundance::QuadCell.

int Sundance::Legendre::order

(

)

const [inline, virtual]

Implements Sundance::BasisFamilyBase.

Definition at line 72 of file SundanceLegendre.hpp.

References order_.

void Legendre::print

(

std::ostream &

os

)

const [virtual]

Implements Playa::Printable.

Definition at line 112 of file SundanceLegendre.cpp.

void Legendre::refEval	(	const CellType &	cellType,
		const Array< Point > &	pts,
		const SpatialDerivSpecifier &	deriv,
		Array< Array< Array< double > > > &	result,
		int	verbosity = 0
	)		const [virtual]

Implements Sundance::BasisReferenceEvaluationBase.

Definition at line 221 of file SundanceLegendre.cpp.

References Sundance::BrickCell, evalOnBrick(), evalOnLine(), evalOnQuad(), Sundance::SpatialDerivSpecifier::isIdentity(), Sundance::SpatialDerivSpecifier::isPartial(), Sundance::LineCell, Sundance::SpatialDerivSpecifier::mi(), Sundance::PointCell, and Sundance::QuadCell.

bool Legendre::supportsCellTypePair	(	const CellType &	maximalCellType,
		const CellType &	cellType
	)		const [virtual]

Inform caller as to whether a given cell type is supported.

Implements Sundance::BasisDOFTopologyBase.

Definition at line 70 of file SundanceLegendre.cpp.

References Sundance::BrickCell, Sundance::LineCell, Sundance::PointCell, and Sundance::QuadCell.

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Member Data Documentation

int Sundance::Legendre::nrDOF_brick_ [private]

Definition at line 125 of file SundanceLegendre.hpp.

Referenced by Legendre(), and nReferenceDOFsWithoutFacets().

int Sundance::Legendre::nrDOF_edge_ [private]

Definition at line 119 of file SundanceLegendre.hpp.

Referenced by evalOnLine(), evalOnQuad(), getReferenceDOFs(), Legendre(), and nReferenceDOFsWithoutFacets().

int Sundance::Legendre::nrDOF_face_ [private]

Definition at line 122 of file SundanceLegendre.hpp.

Referenced by evalOnQuad(), getReferenceDOFs(), Legendre(), and nReferenceDOFsWithoutFacets().

int Sundance::Legendre::order_ [private]

the order of the basis

Definition at line 116 of file SundanceLegendre.hpp.

Referenced by evalOnQuad(), Legendre(), and order().