#include <PolyEPoints.h>

Inheritance diagram for Nektar::LibUtilities::PolyEPoints:

Public Types
typedef Points< NekDouble >	PointsBaseType

Public Types inherited from Nektar::LibUtilities::Points< NekDouble >
typedef NekDouble	DataType

typedef std::shared_ptr< NekMatrix< DataType > >	MatrixSharedPtrType

Public Member Functions
virtual	~PolyEPoints ()

	PolyEPoints (const PointsKey &key)

Public Member Functions inherited from Nektar::LibUtilities::Points< NekDouble >
virtual	~Points ()

void	Initialize (void)

size_t	GetPointsDim () const

size_t	GetNumPoints () const

size_t	GetTotNumPoints () const

PointsType	GetPointsType () const

const Array< OneD, const DataType > &	GetZ () const

const Array< OneD, const DataType > &	GetW () const

void	GetZW (Array< OneD, const DataType > &z, Array< OneD, const DataType > &w) const

const Array< OneD, const NekDouble > &	GetBaryWeights () const

void	GetPoints (Array< OneD, const DataType > &x) const

void	GetPoints (Array< OneD, const DataType > &x, Array< OneD, const DataType > &y) const

void	GetPoints (Array< OneD, const DataType > &x, Array< OneD, const DataType > &y, Array< OneD, const DataType > &z) const

const MatrixSharedPtrType &	GetD (Direction dir=xDir) const

const MatrixSharedPtrType	GetI (const PointsKey &key)

const MatrixSharedPtrType	GetI (const Array< OneD, const DataType > &x)

const MatrixSharedPtrType	GetI (size_t uint, const Array< OneD, const DataType > &x)

const MatrixSharedPtrType	GetI (const Array< OneD, const DataType > &x, const Array< OneD, const DataType > &y)

const MatrixSharedPtrType	GetI (const Array< OneD, const DataType > &x, const Array< OneD, const DataType > &y, const Array< OneD, const DataType > &z)

const MatrixSharedPtrType	GetGalerkinProjection (const PointsKey &pkey)

Static Public Member Functions
static std::shared_ptr< PointsBaseType >	Create (const PointsKey &key)

Protected Member Functions
virtual const std::shared_ptr< NekMatrix< NekDouble > >	v_GetI (const PointsKey &pkey) override

virtual const std::shared_ptr< NekMatrix< NekDouble > >	v_GetI (const Array< OneD, const NekDouble > &x) override

virtual const std::shared_ptr< NekMatrix< NekDouble > >	v_GetI (size_t numpoints, const Array< OneD, const NekDouble > &x) override

Protected Member Functions inherited from Nektar::LibUtilities::Points< NekDouble >
virtual void	v_Initialize (void)

virtual void	v_CalculatePoints ()

virtual void	v_CalculateWeights ()

Private Member Functions
	PolyEPoints ()=delete

	PolyEPoints (const PolyEPoints &points)=delete

virtual void	v_CalculatePoints () override final

virtual void	v_CalculateWeights () override final

virtual void	v_CalculateDerivMatrix () override final

void	CalculateInterpMatrix (size_t npts, const Array< OneD, const NekDouble > &xpoints, Array< OneD, NekDouble > &interp)

Static Private Attributes
static bool	initPointsManager []

Additional Inherited Members
Protected Attributes inherited from Nektar::LibUtilities::Points< NekDouble >
PointsKey	m_pointsKey
	Points type for this points distributions. More...

Array< OneD, DataType >	m_points [3]
	Storage for the point locations, allowing for up to a 3D points storage. More...

Array< OneD, DataType >	m_weights
	Quadrature weights for the weights. More...

Array< OneD, DataType >	m_bcweights
	Barycentric weights. More...

MatrixSharedPtrType	m_derivmatrix [3]
	Derivative matrices. More...

NekManager< PointsKey, NekMatrix< DataType >, PointsKey::opLess >	m_InterpManager

NekManager< PointsKey, NekMatrix< DataType >, PointsKey::opLess >	m_GalerkinProjectionManager

Detailed Description

Definition at line 46 of file PolyEPoints.h.

Member Typedef Documentation

◆ PointsBaseType

typedef Points<NekDouble> Nektar::LibUtilities::PolyEPoints::PointsBaseType

Definition at line 49 of file PolyEPoints.h.

Constructor & Destructor Documentation

◆ ~PolyEPoints()

virtual Nektar::LibUtilities::PolyEPoints::~PolyEPoints ( )

inlinevirtual

Definition at line 51 of file PolyEPoints.h.

52 {

53 }

◆ PolyEPoints() [1/3]

Nektar::LibUtilities::PolyEPoints::PolyEPoints ( const PointsKey & key )

inline

Definition at line 58 of file PolyEPoints.h.

                                      : PointsBaseType(key)
    {
    }

◆ PolyEPoints() [2/3]

Nektar::LibUtilities::PolyEPoints::PolyEPoints ( )

privatedelete

◆ PolyEPoints() [3/3]

Nektar::LibUtilities::PolyEPoints::PolyEPoints ( const PolyEPoints & points )

privatedelete

Member Function Documentation

◆ CalculateInterpMatrix()

void Nektar::LibUtilities::PolyEPoints::CalculateInterpMatrix	(	size_t	npts,
		const Array< OneD, const NekDouble > &	xpoints,
		Array< OneD, NekDouble > &	interp
	)

private

Definition at line 111 of file PolyEPoints.cpp.

{
    for (size_t i = 0; i < npts; ++i)
    {
        for (size_t j = 0; j < m_pointsKey.GetNumPoints(); ++j)
        {
            interp[i + j * npts] = Polylib::laginterp(
                xpoints[i], j, &m_points[0][0], m_pointsKey.GetNumPoints());
        }
    }
}

References Nektar::LibUtilities::PointsKey::GetNumPoints(), Polylib::laginterp(), Nektar::LibUtilities::Points< NekDouble >::m_points, and Nektar::LibUtilities::Points< NekDouble >::m_pointsKey.

Referenced by v_GetI().

◆ Create()

std::shared_ptr< PolyEPoints::PointsBaseType > Nektar::LibUtilities::PolyEPoints::Create ( const PointsKey & key )

static

Definition at line 125 of file PolyEPoints.cpp.

{
    std::shared_ptr<PointsBaseType> returnval(
        MemoryManager<PolyEPoints>::AllocateSharedPtr(key));
 
    returnval->Initialize();
 
    return returnval;
}

◆ v_CalculateDerivMatrix()

void Nektar::LibUtilities::PolyEPoints::v_CalculateDerivMatrix ( )

finaloverrideprivatevirtual

Definition at line 96 of file PolyEPoints.cpp.

{
    // Allocate the derivative matrix.
    PointsBaseType::v_CalculateDerivMatrix();
 
    for (size_t i = 0; i < m_pointsKey.GetNumPoints(); ++i)
    {
        for (size_t j = 0; j < m_pointsKey.GetNumPoints(); ++j)
        {
            (*m_derivmatrix[0])(i, j) = Polylib::laginterpderiv(
                m_points[0][i], j, &m_points[0][0], m_pointsKey.GetNumPoints());
        }
    }
}

References Nektar::LibUtilities::PointsKey::GetNumPoints(), Polylib::laginterpderiv(), Nektar::LibUtilities::Points< NekDouble >::m_derivmatrix, Nektar::LibUtilities::Points< NekDouble >::m_points, and Nektar::LibUtilities::Points< NekDouble >::m_pointsKey.

◆ v_CalculatePoints()

void Nektar::LibUtilities::PolyEPoints::v_CalculatePoints ( )

finaloverrideprivatevirtual

Reimplemented from Nektar::LibUtilities::Points< NekDouble >.

Definition at line 46 of file PolyEPoints.cpp.

{
    // Allocate the storage for points
    PointsBaseType::v_CalculatePoints();
 
    size_t npts = m_pointsKey.GetNumPoints();
    if (npts == 1)
    {
        m_points[0][0] = 0.0;
    }
    else
    {
        NekDouble dx = 2.0 / (NekDouble)(npts - 1);
        for (size_t i = 0; i < npts; ++i)
        {
            m_points[0][i] = -1.0 + i * dx;
        }
    }
}

References Nektar::LibUtilities::PointsKey::GetNumPoints(), Nektar::LibUtilities::Points< NekDouble >::m_points, Nektar::LibUtilities::Points< NekDouble >::m_pointsKey, and Nektar::LibUtilities::Points< NekDouble >::v_CalculatePoints().

◆ v_CalculateWeights()

void Nektar::LibUtilities::PolyEPoints::v_CalculateWeights ( )

finaloverrideprivatevirtual

Reimplemented from Nektar::LibUtilities::Points< NekDouble >.

Definition at line 66 of file PolyEPoints.cpp.

{
    // Allocate the storage for points
    PointsBaseType::v_CalculateWeights();
 
    size_t npts = m_pointsKey.GetNumPoints();
    if (npts == 1)
    {
        m_weights[0] = 2.0; // midpoint rule
    }
    else
    {
        PointsKey gaussKey(npts, eGaussLobattoLegendre);
        std::shared_ptr<PointsBaseType> ptr = PointsManager()[gaussKey];
        Array<OneD, const NekDouble> z;
        Array<OneD, const NekDouble> w;
 
        ptr->GetZW(z, w);
        for (size_t i = 0; i < npts; ++i)
        {
            m_weights[i] = 0.0;
            for (unsigned j = 0; j < npts; ++j)
            {
                m_weights[i] +=
                    w[j] * Polylib::laginterp(z[j], i, &m_points[0][0], npts);
            }
        }
    }
}

References Nektar::LibUtilities::eGaussLobattoLegendre, Nektar::LibUtilities::PointsKey::GetNumPoints(), Polylib::laginterp(), Nektar::LibUtilities::Points< NekDouble >::m_points, Nektar::LibUtilities::Points< NekDouble >::m_pointsKey, Nektar::LibUtilities::Points< NekDouble >::m_weights, Nektar::LibUtilities::PointsManager(), Nektar::LibUtilities::Points< NekDouble >::v_CalculateWeights(), Nektar::UnitTests::w(), and Nektar::UnitTests::z().

◆ v_GetI() [1/3]

const std::shared_ptr< NekMatrix< NekDouble > > Nektar::LibUtilities::PolyEPoints::v_GetI ( const Array< OneD, const NekDouble > & x )

overrideprotectedvirtual

Delegate to function below.

Definition at line 150 of file PolyEPoints.cpp.

{
    size_t numpoints = 1;
 
    /// Delegate to function below.
    return GetI(numpoints, x);
}

References Nektar::LibUtilities::Points< NekDouble >::GetI().

◆ v_GetI() [2/3]

const std::shared_ptr< NekMatrix< NekDouble > > Nektar::LibUtilities::PolyEPoints::v_GetI ( const PointsKey & pkey )

overrideprotectedvirtual

Definition at line 136 of file PolyEPoints.cpp.

{
    ASSERTL0(pkey.GetPointsDim() == 1,
             "Gauss Points can only interp to other 1d point distributions");
 
    size_t numpoints = pkey.GetNumPoints();
    Array<OneD, const NekDouble> xpoints;
 
    PointsManager()[pkey]->GetPoints(xpoints);
 
    return GetI(numpoints, xpoints);
}

References ASSERTL0, Nektar::LibUtilities::Points< NekDouble >::GetI(), Nektar::LibUtilities::PointsKey::GetNumPoints(), Nektar::LibUtilities::PointsKey::GetPointsDim(), and Nektar::LibUtilities::PointsManager().

◆ v_GetI() [3/3]

const std::shared_ptr< NekMatrix< NekDouble > > Nektar::LibUtilities::PolyEPoints::v_GetI	(	size_t	numpoints,
		const Array< OneD, const NekDouble > &	x
	)

overrideprotectedvirtual

Definition at line 159 of file PolyEPoints.cpp.

{
    Array<OneD, NekDouble> interp(GetNumPoints() * numpoints);
 
    CalculateInterpMatrix(numpoints, x, interp);
 
    size_t np    = GetTotNumPoints();
    NekDouble *d = interp.data();
    std::shared_ptr<NekMatrix<NekDouble>> returnval(
        MemoryManager<NekMatrix<NekDouble>>::AllocateSharedPtr(numpoints, np,
                                                               d));
 
    return returnval;
}