#include <StdPointExp.h>

Inheritance diagram for Nektar::StdRegions::StdPointExp:

Public Member Functions
	StdPointExp (const LibUtilities::BasisKey &Ba)

	StdPointExp ()=default

	StdPointExp (const StdPointExp &T)=default

	~StdPointExp () override=default

Public Member Functions inherited from Nektar::StdRegions::StdExpansion0D
	StdExpansion0D (int numcoeffs, const LibUtilities::BasisKey &Ba)

	StdExpansion0D ()=default

	StdExpansion0D (const StdExpansion0D &T)=default

	~StdExpansion0D () override=default

Public Member Functions inherited from Nektar::StdRegions::StdExpansion
	StdExpansion ()
	Default Constructor.

	StdExpansion (const int numcoeffs, const int numbases, const LibUtilities::BasisKey &Ba=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bb=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bc=LibUtilities::NullBasisKey)
	Constructor.

	StdExpansion (const StdExpansion &T)
	Copy Constructor.

virtual	~StdExpansion ()
	Destructor.

int	GetNumBases () const
	This function returns the number of 1D bases used in the expansion.

const Array< OneD, const LibUtilities::BasisSharedPtr > &	GetBase () const
	This function gets the shared point to basis.

const LibUtilities::BasisSharedPtr &	GetBasis (int dir) const
	This function gets the shared point to basis in the dir direction.

int	GetNcoeffs (void) const
	This function returns the total number of coefficients used in the expansion.

int	GetTotPoints () const
	This function returns the total number of quadrature points used in the element.

LibUtilities::BasisType	GetBasisType (const int dir) const
	This function returns the type of basis used in the dir direction.

int	GetBasisNumModes (const int dir) const
	This function returns the number of expansion modes in the dir direction.

int	EvalBasisNumModesMax (void) const
	This function returns the maximum number of expansion modes over all local directions.

LibUtilities::PointsType	GetPointsType (const int dir) const
	This function returns the type of quadrature points used in the dir direction.

int	GetNumPoints (const int dir) const
	This function returns the number of quadrature points in the dir direction.

const Array< OneD, const NekDouble > &	GetPoints (const int dir) const
	This function returns a pointer to the array containing the quadrature points in dir direction.

int	GetNverts () const
	This function returns the number of vertices of the expansion domain.

int	GetTraceNcoeffs (const int i) const
	This function returns the number of expansion coefficients belonging to the i-th trace.

int	GetTraceIntNcoeffs (const int i) const

int	GetTraceNumPoints (const int i) const
	This function returns the number of quadrature points belonging to the i-th trace.

const LibUtilities::BasisKey	GetTraceBasisKey (const int i, int k=-1, bool UseGLL=false) const
	This function returns the basis key belonging to the i-th trace.

LibUtilities::PointsKey	GetTracePointsKey (const int i, int k=-1) const
	This function returns the basis key belonging to the i-th trace.

int	NumBndryCoeffs (void) const

int	NumDGBndryCoeffs (void) const

const LibUtilities::PointsKey	GetNodalPointsKey () const
	This function returns the type of expansion Nodal point type if defined.

int	GetNtraces () const
	Returns the number of trace elements connected to this element.

LibUtilities::ShapeType	DetShapeType () const
	This function returns the shape of the expansion domain.

int	GetShapeDimension () const

bool	IsBoundaryInteriorExpansion () const

bool	IsNodalNonTensorialExp ()

void	NodalToModal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function performs the Backward transformation from coefficient space to physical space.

void	FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	FwdTransBndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

NekDouble	Integral (const Array< OneD, const NekDouble > &inarray)
	This function integrates the specified function over the domain.

void	FillMode (const int mode, Array< OneD, NekDouble > &outarray)
	This function fills the array outarray with the mode-th mode of the expansion.

void	IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	this function calculates the inner product of a given function f with the different modes of the expansion

void	IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	IProductWRTDirectionalDerivBase (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

int	GetElmtId ()
	Get the element id of this expansion when used in a list by returning value of m_elmt_id.

void	SetElmtId (const int id)
	Set the element id of this expansion when used in a list by returning value of m_elmt_id.

void	GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray)
	this function returns the physical coordinates of the quadrature points of the expansion

Array< OneD, Array< OneD, NekDouble > >	GetCoords ()

void	GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord)
	given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point

DNekMatSharedPtr	GetStdMatrix (const StdMatrixKey &mkey)

DNekBlkMatSharedPtr	GetStdStaticCondMatrix (const StdMatrixKey &mkey)

Array< OneD, const NekDouble >	GetStdFac (const StdFacKey &mkey)

void	NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)

void	NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, NekDouble > &Fy, Array< OneD, NekDouble > &outarray)

void	NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)

void	NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)

DNekScalBlkMatSharedPtr	GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)

void	DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)

int	CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)

NekDouble	StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)

int	GetCoordim ()

void	GetBoundaryMap (Array< OneD, unsigned int > &outarray)

void	GetInteriorMap (Array< OneD, unsigned int > &outarray)

int	GetVertexMap (const int localVertexId, bool useCoeffPacking=false)

void	GetTraceToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)

void	GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray)

void	GetElmtTraceToTraceMap (const unsigned int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)

void	GetTraceInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eForwards)

void	GetTraceNumModes (const int tid, int &numModes0, int &numModes1, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2)

void	MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

DNekMatSharedPtr	CreateGeneralMatrix (const StdMatrixKey &mkey)
	this function generates the mass matrix \(\mathbf{M}[i][j] = \int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}\)

void	GeneralMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)

void	ExponentialFilter (Array< OneD, NekDouble > &array, const NekDouble alpha, const NekDouble exponent, const NekDouble cutoff)

void	LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	WeakDirectionalDerivMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	MassLevelCurvatureMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	LinearAdvectionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	LinearAdvectionDiffusionReactionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)

void	HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

DNekMatSharedPtr	GenMatrix (const StdMatrixKey &mkey)

void	PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)

void	PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	PhysDirectionalDeriv (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &direction, Array< OneD, NekDouble > &outarray)

void	StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)

NekDouble	PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
	This function evaluates the expansion at a single (arbitrary) point of the domain.

NekDouble	PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs)
	This function evaluates the first derivative of the expansion at a single (arbitrary) point of the domain.

NekDouble	PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs, std::array< NekDouble, 6 > &secondOrderDerivs)

NekDouble	PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)
	This function evaluates the expansion at a single (arbitrary) point of the domain.

NekDouble	PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode)
	This function evaluates the basis function mode `mode` at a point `coords` of the domain.

void	ReOrientTracePhysMap (const StdRegions::Orientation orient, Array< OneD, int > &idmap, const int nq0, const int nq1, bool Forwards=true)

void	LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
	Convert local cartesian coordinate xi into local collapsed coordinates eta.

void	LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi)
	Convert local collapsed coordinates eta into local cartesian coordinate xi.

void	PhysInterp (std::shared_ptr< StdExpansion > fromExp, const Array< OneD, const NekDouble > &fromData, Array< OneD, NekDouble > &toData, bool Transpose=false)
	interpolate from one set of quadrature points available from FromExp to the set of quadrature points in the current expansion. If the points are the same this routine will just copy the data

virtual int	v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)

virtual void	v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)

virtual void	v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)

virtual void	v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)

virtual void	v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)

virtual DNekScalBlkMatSharedPtr	v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)

virtual void	v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)

NekDouble	Linf (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
	Function to evaluate the discrete \( L_\infty\) error \( \|\epsilon\|_\infty = \max \|u - u_{exact}\|\) where \( u_{exact}\) is given by the array sol.

NekDouble	L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
	Function to evaluate the discrete \( L_2\) error, \( \| \epsilon \|_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 dx \right]^{1/2} d\xi_1 \) where \( u_{exact}\) is given by the array sol.

NekDouble	H1 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
	Function to evaluate the discrete \( H^1\) error, \( \| \epsilon \|^1_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 + \nabla(u - u_{exact})\cdot\nabla(u - u_{exact})\cdot dx \right]^{1/2} d\xi_1 \) where \( u_{exact}\) is given by the array sol.

const LibUtilities::PointsKeyVector	GetPointsKeys () const

DNekMatSharedPtr	BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix)

void	PhysInterpToSimplexEquiSpaced (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int npset=-1)
	This function performs an interpolation from the physical space points provided at input into an array of equispaced points which are not the collapsed coordinate. So for a tetrahedron you will only get a tetrahedral number of values.

void	PhysInterpToGLL (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int npset=-1)

void	PhysInterpToPoints (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int npset, MatrixType distrib)

void	GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true)
	This function provides the connectivity of local simplices (triangles or tets) to connect the equispaced data points provided by PhysInterpToSimplexEquiSpaced.

void	EquiSpacedToCoeffs (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function performs a projection/interpolation from the equispaced points sometimes used in post-processing onto the coefficient space.

void	EquiSpacedToPhys (const int nequi, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

template<class T >
std::shared_ptr< T >	as ()

void	GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)

Protected Member Functions
void	v_GetCoords (Array< OneD, NekDouble > &coords_0, Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2) override

LibUtilities::ShapeType	v_DetShapeType () const override

void	PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override

void	v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
	Calculates the inner product of a given function f with the different modes of the expansion.

void	v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override

DNekMatSharedPtr	v_GenMatrix (const StdMatrixKey &mkey) override

DNekMatSharedPtr	v_CreateStdMatrix (const StdMatrixKey &mkey) override

Protected Member Functions inherited from Nektar::StdRegions::StdExpansion0D
NekDouble	v_StdPhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals) override

int	v_GetShapeDimension () const final

bool	v_IsCollocatedBasis () const final

int	v_GetNtraces () const final

Protected Member Functions inherited from Nektar::StdRegions::StdExpansion
DNekMatSharedPtr	CreateStdMatrix (const StdMatrixKey &mkey)

std::shared_ptr< Array< OneD, const NekDouble > >	CreateStdFac (const StdFacKey &mkey)

DNekBlkMatSharedPtr	CreateStdStaticCondMatrix (const StdMatrixKey &mkey)
	Create the static condensation of a matrix when using a boundary interior decomposition.

void	GeneralMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	MassMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp)

void	LaplacianMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	LaplacianMatrixOp_MatFree (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	WeakDerivMatrixOp_MatFree (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	WeakDirectionalDerivMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	MassLevelCurvatureMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	LinearAdvectionMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	LinearAdvectionDiffusionReactionMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)

void	HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	HelmholtzMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

virtual void	v_SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)

virtual void	v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble	BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv, NekDouble &deriv2)
	This function performs the barycentric interpolation of the polynomial stored in `coord` at a point `physvals` using barycentric interpolation weights in direction.

template<int DIR>
NekDouble	BaryEvaluateBasis (const NekDouble &coord, const int &mode)

template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble	BaryEvaluate (const NekDouble &coord, const NekDouble *physvals)
	Helper function to pass an unused value by reference into BaryEvaluate.

template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble	BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv)

virtual const LibUtilities::BasisKey	v_GetTraceBasisKey (const int i, const int k, bool UseGLL=false) const

virtual LibUtilities::PointsKey	v_GetTracePointsKey (const int i, const int j) const

virtual const LibUtilities::PointsKey	v_GetNodalPointsKey () const

virtual bool	v_IsBoundaryInteriorExpansion () const

virtual bool	v_IsNodalNonTensorialExp ()

virtual void	v_NodalToModal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Transform a given function from physical quadrature space to coefficient space.

virtual void	v_IProductWRTDirectionalDerivBase (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_FwdTransBndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2, Array< OneD, NekDouble > &out_d3)
	Calculate the derivative of the physical points.

virtual void	v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0)
	Calculate the derivative of the physical points in a given direction.

virtual void	v_PhysDirectionalDeriv (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &direction, Array< OneD, NekDouble > &outarray)
	Physical derivative along a direction vector.

virtual void	v_StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2, Array< OneD, NekDouble > &out_d3)

virtual NekDouble	v_PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)

virtual NekDouble	v_PhysEvaluateInterp (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)

virtual NekDouble	v_PhysEvalFirstDeriv (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs)

virtual NekDouble	v_PhysEvalFirstSecondDeriv (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs, std::array< NekDouble, 6 > &secondOrderDerivs)

virtual NekDouble	v_PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode)

virtual void	v_LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)

virtual void	v_LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi)

virtual void	v_PhysInterp (std::shared_ptr< StdExpansion > FromExp, const Array< OneD, const NekDouble > &fromData, Array< OneD, NekDouble > &toData, bool Transpose)

virtual void	v_FillMode (const int mode, Array< OneD, NekDouble > &outarray)

virtual void	v_GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord)

virtual int	v_GetCoordim () const

virtual void	v_GetBoundaryMap (Array< OneD, unsigned int > &outarray)

virtual void	v_GetInteriorMap (Array< OneD, unsigned int > &outarray)

virtual void	v_GetTraceToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)

virtual void	v_GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray)

virtual void	v_GetElmtTraceToTraceMap (const unsigned int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)

virtual void	v_GetTraceInteriorToElementMap (const int eid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eForwards)

virtual void	v_GetTraceNumModes (const int fid, int &numModes0, int &numModes1, Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2)

virtual void	v_GetVertexPhysVals (const int vertex, const Array< OneD, const NekDouble > &inarray, NekDouble &outarray)

virtual void	v_MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

virtual void	v_LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

virtual void	v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)

virtual void	v_ExponentialFilter (Array< OneD, NekDouble > &array, const NekDouble alpha, const NekDouble exponent, const NekDouble cutoff)

virtual void	v_ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

virtual void	v_WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

virtual void	v_WeakDirectionalDerivMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

virtual void	v_MassLevelCurvatureMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

virtual void	v_LinearAdvectionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

virtual void	v_LinearAdvectionDiffusionReactionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)

virtual void	v_HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

virtual void	v_LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

virtual void	v_LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp)

virtual void	v_HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

virtual DNekMatSharedPtr	v_BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix)

virtual void	v_GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true)

virtual void	v_ReOrientTracePhysMap (const StdRegions::Orientation orient, Array< OneD, int > &idmap, const int nq0, const int nq1, bool Forwards)

Private Member Functions
int	v_GetNverts () const final

int	v_NumBndryCoeffs () const final

int	v_NumDGBndryCoeffs () const final

int	v_GetTraceNcoeffs (const int i) const final

int	v_GetTraceIntNcoeffs (const int i) const final

int	v_GetTraceNumPoints (const int i) const final

int	v_GetVertexMap (int localVertexId, bool useCoeffPacking=false) override

Additional Inherited Members
Protected Attributes inherited from Nektar::StdRegions::StdExpansion
Array< OneD, LibUtilities::BasisSharedPtr >	m_base

int	m_elmt_id

int	m_ncoeffs

std::vector< Array< OneD, const NekDouble > >	m_weights

LibUtilities::NekManager< StdMatrixKey, DNekMat, StdMatrixKey::opLess >	m_stdMatrixManager

LibUtilities::NekManager< StdMatrixKey, DNekBlkMat, StdMatrixKey::opLess >	m_stdStaticCondMatrixManager

LibUtilities::NekManager< StdFacKey, Array< OneD, const NekDouble > >	m_stdFacManager

Detailed Description

Definition at line 42 of file StdPointExp.h.

Constructor & Destructor Documentation

◆ StdPointExp() [1/3]

Nektar::StdRegions::StdPointExp::StdPointExp ( const LibUtilities::BasisKey & Ba )

Definition at line 42 of file StdPointExp.cpp.

    : StdExpansion(Ba.GetNumModes(), 1, Ba),
      StdExpansion0D(Ba.GetNumModes(), Ba)
{
}

◆ StdPointExp() [2/3]

Nektar::StdRegions::StdPointExp::StdPointExp ( )

default

◆ StdPointExp() [3/3]

Nektar::StdRegions::StdPointExp::StdPointExp ( const StdPointExp & T )

default

◆ ~StdPointExp()

Nektar::StdRegions::StdPointExp::~StdPointExp ( )

overridedefault

Member Function Documentation

◆ PhysTensorDeriv()

void Nektar::StdRegions::StdPointExp::PhysTensorDeriv	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

protected

Definition at line 61 of file StdPointExp.cpp.

{
    int nquad          = GetTotPoints();
    DNekMatSharedPtr D = m_base[0]->GetD();
 
    if (inarray.data() == outarray.data())
    {
        Array<OneD, NekDouble> wsp(nquad);
        CopyArray(inarray, wsp);
        Blas::Dgemv('N', nquad, nquad, 1.0, &(D->GetPtr())[0], nquad, &wsp[0],
                    1, 0.0, &outarray[0], 1);
    }
    else
    {
        Blas::Dgemv('N', nquad, nquad, 1.0, &(D->GetPtr())[0], nquad,
                    &inarray[0], 1, 0.0, &outarray[0], 1);
    }
}

References Nektar::CopyArray(), Blas::Dgemv(), Nektar::StdRegions::StdExpansion::GetTotPoints(), and Nektar::StdRegions::StdExpansion::m_base.

◆ v_BwdTrans()

void Nektar::StdRegions::StdPointExp::v_BwdTrans	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

overrideprotectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 81 of file StdPointExp.cpp.

{
    int nquad = m_base[0]->GetNumPoints();
 
    if (m_base[0]->Collocation())
    {
        Vmath::Vcopy(nquad, inarray, 1, outarray, 1);
    }
    else
    {
        Blas::Dgemv('N', nquad, m_base[0]->GetNumModes(), 1.0,
                    (m_base[0]->GetBdata()).data(), nquad, &inarray[0], 1, 0.0,
                    &outarray[0], 1);
    }
}

References Blas::Dgemv(), Nektar::StdRegions::StdExpansion::m_base, and Vmath::Vcopy().

◆ v_CreateStdMatrix()

DNekMatSharedPtr Nektar::StdRegions::StdPointExp::v_CreateStdMatrix ( const StdMatrixKey & mkey )

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 144 of file StdPointExp.cpp.

{
    return v_GenMatrix(mkey);
}

References v_GenMatrix().

◆ v_DetShapeType()

LibUtilities::ShapeType Nektar::StdRegions::StdPointExp::v_DetShapeType ( ) const

overrideprotectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 48 of file StdPointExp.cpp.

{
    return LibUtilities::ePoint;
}

References Nektar::LibUtilities::ePoint.

Referenced by v_GenMatrix().

◆ v_GenMatrix()

DNekMatSharedPtr Nektar::StdRegions::StdPointExp::v_GenMatrix ( const StdMatrixKey & mkey )

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 115 of file StdPointExp.cpp.

{
    DNekMatSharedPtr Mat;
    MatrixType mattype;
 
    switch (mattype = mkey.GetMatrixType())
    {
        case eFwdTrans:
        {
            Mat =
                MemoryManager<DNekMat>::AllocateSharedPtr(m_ncoeffs, m_ncoeffs);
            StdMatrixKey iprodkey(eIProductWRTBase, v_DetShapeType(), *this);
            DNekMat &Iprod = *GetStdMatrix(iprodkey);
            StdMatrixKey imasskey(eInvMass, v_DetShapeType(), *this);
            DNekMat &Imass = *GetStdMatrix(imasskey);
 
            (*Mat) = Imass * Iprod;
        }
        break;
        default:
        {
            Mat = StdExpansion::CreateGeneralMatrix(mkey);
        }
        break;
    }
 
    return Mat;
}

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::StdRegions::StdExpansion::CreateGeneralMatrix(), Nektar::StdRegions::eFwdTrans, Nektar::StdRegions::eInvMass, Nektar::StdRegions::eIProductWRTBase, Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, and v_DetShapeType().

Referenced by v_CreateStdMatrix().

◆ v_GetCoords()

void Nektar::StdRegions::StdPointExp::v_GetCoords	(	Array< OneD, NekDouble > &	coords_0,
		Array< OneD, NekDouble > &	coords_1,
		Array< OneD, NekDouble > &	coords_2
	)

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 53 of file StdPointExp.cpp.

{
    Vmath::Vcopy(GetNumPoints(0), (m_base[0]->GetZ()).data(), 1, &coords_0[0],
                 1);
}

References Nektar::StdRegions::StdExpansion::GetNumPoints(), Nektar::StdRegions::StdExpansion::m_base, and Vmath::Vcopy().

◆ v_GetNverts()

int Nektar::StdRegions::StdPointExp::v_GetNverts ( ) const

inlinefinalprivatevirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 93 of file StdPointExp.h.

    {
        return 1;
    }

◆ v_GetTraceIntNcoeffs()

int Nektar::StdRegions::StdPointExp::v_GetTraceIntNcoeffs ( const int i ) const

inlinefinalprivatevirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 113 of file StdPointExp.h.

    {
        return 0;
    }

◆ v_GetTraceNcoeffs()

int Nektar::StdRegions::StdPointExp::v_GetTraceNcoeffs ( const int i ) const

inlinefinalprivatevirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 108 of file StdPointExp.h.

    {
        return 0;
    }

◆ v_GetTraceNumPoints()

int Nektar::StdRegions::StdPointExp::v_GetTraceNumPoints ( const int i ) const

inlinefinalprivatevirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 118 of file StdPointExp.h.

    {
        return 0;
    }

◆ v_GetVertexMap()

int Nektar::StdRegions::StdPointExp::v_GetVertexMap	(	int	localVertexId,
		bool	useCoeffPacking = `false`
	)

inlineoverrideprivatevirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 123 of file StdPointExp.h.

    {
        ASSERTL2(localVertexId == 0, "Only single point in StdPointExp!");
        return 0;
    }

References ASSERTL2.

◆ v_IProductWRTBase()

void Nektar::StdRegions::StdPointExp::v_IProductWRTBase	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

overrideprotectedvirtual

Calculates the inner product of a given function f with the different modes of the expansion.

Implements Nektar::StdRegions::StdExpansion.

Definition at line 99 of file StdPointExp.cpp.

{
    Array<OneD, const NekDouble> w = m_base[0]->GetW();
    outarray[0]                    = inarray[0] * w[0];
}

References Nektar::StdRegions::StdExpansion::m_base.

◆ v_IProductWRTDerivBase()

void Nektar::StdRegions::StdPointExp::v_IProductWRTDerivBase	(	const int	dir,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 106 of file StdPointExp.cpp.

{
    ASSERTL1(dir >= 0 && dir < 1, "input dir is out of range");
    Array<OneD, const NekDouble> w = m_base[0]->GetW();
    outarray[0]                    = inarray[0] * w[0];
}

References ASSERTL1, and Nektar::StdRegions::StdExpansion::m_base.

◆ v_NumBndryCoeffs()

int Nektar::StdRegions::StdPointExp::v_NumBndryCoeffs ( ) const

inlinefinalprivatevirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 98 of file StdPointExp.h.

    {
        return 0;
    }

◆ v_NumDGBndryCoeffs()

int Nektar::StdRegions::StdPointExp::v_NumDGBndryCoeffs ( ) const

inlinefinalprivatevirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 103 of file StdPointExp.h.

    {
        return 0;
    }

Public Member Functions

Protected Member Functions

Private Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ StdPointExp() [1/3]

◆ StdPointExp() [2/3]

◆ StdPointExp() [3/3]

◆ ~StdPointExp()

Member Function Documentation

◆ PhysTensorDeriv()

◆ v_BwdTrans()

◆ v_CreateStdMatrix()

◆ v_DetShapeType()

◆ v_GenMatrix()

◆ v_GetCoords()

◆ v_GetNverts()

◆ v_GetTraceIntNcoeffs()

◆ v_GetTraceNcoeffs()

◆ v_GetTraceNumPoints()

◆ v_GetVertexMap()

◆ v_IProductWRTBase()

◆ v_IProductWRTDerivBase()

◆ v_NumBndryCoeffs()

◆ v_NumDGBndryCoeffs()