Nektar::Collections::BwdTrans_SumFac_Tet Class Reference

Backward transform operator using sum-factorisation (Tet) More...

Inheritance diagram for Nektar::Collections::BwdTrans_SumFac_Tet:

Public Member Functions
	~BwdTrans_SumFac_Tet () final=default
void	operator() (const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output0, Array< OneD, NekDouble > &output1, Array< OneD, NekDouble > &output2, Array< OneD, NekDouble > &wsp) final
	Perform operation. More...
void	operator() (int dir, const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output, Array< OneD, NekDouble > &wsp) final
Public Member Functions inherited from Nektar::Collections::Operator
	Operator (std::vector< StdRegions::StdExpansionSharedPtr > pCollExp, std::shared_ptr< CoalescedGeomData > GeomData, StdRegions::FactorMap factors)
	Constructor. More...
virtual	~Operator ()=default
virtual COLLECTIONS_EXPORT void	operator() (const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output0, Array< OneD, NekDouble > &output1, Array< OneD, NekDouble > &output2, Array< OneD, NekDouble > &wsp=NullNekDouble1DArray)=0
	Perform operation. More...
virtual COLLECTIONS_EXPORT void	operator() (int dir, const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output, Array< OneD, NekDouble > &wsp=NullNekDouble1DArray)=0
virtual COLLECTIONS_EXPORT void	UpdateFactors (StdRegions::FactorMap factors)
	Update the supplied factor map. More...
virtual COLLECTIONS_EXPORT void	UpdateVarcoeffs (StdRegions::VarCoeffMap &varcoeffs)
	Update the supplied variable coefficients. More...
unsigned int	GetWspSize ()
	Get the size of the required workspace. More...
unsigned int	GetNumElmt ()
	Get number of elements. More...
StdRegions::StdExpansionSharedPtr	GetExpSharedPtr ()
	Get expansion pointer. More...
unsigned int	GetInputSize (bool defaultIn=true)
unsigned int	GetOutputSize (bool defaultOut=true)

Protected Attributes
const int	m_nquad0
const int	m_nquad1
const int	m_nquad2
const int	m_nmodes0
const int	m_nmodes1
const int	m_nmodes2
Array< OneD, const NekDouble >	m_base0
Array< OneD, const NekDouble >	m_base1
Array< OneD, const NekDouble >	m_base2
bool	m_sortTopEdge
Protected Attributes inherited from Nektar::Collections::Operator
bool	m_isDeformed
StdRegions::StdExpansionSharedPtr	m_stdExp
unsigned int	m_numElmt
	number of elements that the operator is applied on More...
unsigned int	m_nqe
unsigned int	m_wspSize
unsigned int	m_inputSize
	number of modes or quadrature points that are passed as input to an operator More...
unsigned int	m_outputSize
	number of modes or quadrature points that are taken as output from an operator More...
unsigned int	m_inputSizeOther
	Number of modes or quadrature points, opposite to m_inputSize. More...
unsigned int	m_outputSizeOther
	Number of modes or quadrature points, opposite to m_outputSize. More...

Private Member Functions
	BwdTrans_SumFac_Tet (vector< StdRegions::StdExpansionSharedPtr > pCollExp, CoalescedGeomDataSharedPtr pGeomData, StdRegions::FactorMap factors)

Additional Inherited Members
Protected Member Functions inherited from Nektar::Collections::BwdTrans_Helper
	BwdTrans_Helper ()

Detailed Description

Backward transform operator using sum-factorisation (Tet)

Definition at line 772 of file BwdTrans.cpp.

Constructor & Destructor Documentation

~BwdTrans_SumFac_Tet()

Nektar::Collections::BwdTrans_SumFac_Tet::~BwdTrans_SumFac_Tet ( )

finaldefault

BwdTrans_SumFac_Tet()

Nektar::Collections::BwdTrans_SumFac_Tet::BwdTrans_SumFac_Tet ( vector< StdRegions::StdExpansionSharedPtr >  pCollExp, CoalescedGeomDataSharedPtr  pGeomData, StdRegions::FactorMap  factors  )

inlineprivate

Definition at line 901 of file BwdTrans.cpp.

        : Operator(pCollExp, pGeomData, factors), BwdTrans_Helper(),
          m_nquad0(m_stdExp->GetNumPoints(0)),
          m_nquad1(m_stdExp->GetNumPoints(1)),
          m_nquad2(m_stdExp->GetNumPoints(2)),
          m_nmodes0(m_stdExp->GetBasisNumModes(0)),
          m_nmodes1(m_stdExp->GetBasisNumModes(1)),
          m_nmodes2(m_stdExp->GetBasisNumModes(2)),
          m_base0(m_stdExp->GetBasis(0)->GetBdata()),
          m_base1(m_stdExp->GetBasis(1)->GetBdata()),
          m_base2(m_stdExp->GetBasis(2)->GetBdata())
    {
        m_wspSize = m_numElmt * (m_nquad2 * m_nmodes0 *
                                     (2 * m_nmodes1 - m_nmodes0 + 1) / 2 +
                                 m_nquad2 * m_nquad1 * m_nmodes0);
 
        if (m_stdExp->GetBasis(0)->GetBasisType() == LibUtilities::eModified_A)
        {
            m_sortTopEdge = true;
        }
        else
        {
            m_sortTopEdge = false;
        }
    }

References Nektar::LibUtilities::eModified_A, m_nmodes0, m_nmodes1, m_nquad1, m_nquad2, Nektar::Collections::Operator::m_numElmt, m_sortTopEdge, Nektar::Collections::Operator::m_stdExp, and Nektar::Collections::Operator::m_wspSize.

Member Function Documentation

operator()() [1/2]

void Nektar::Collections::BwdTrans_SumFac_Tet::operator() ( const Array< OneD, const NekDouble > &  input, Array< OneD, NekDouble > &  output0, Array< OneD, NekDouble > &  output1, Array< OneD, NekDouble > &  output2, Array< OneD, NekDouble > &  wsp  )

inlinefinalvirtual

Perform operation.

Implements Nektar::Collections::Operator.

Definition at line 780 of file BwdTrans.cpp.

    {
        ASSERTL1(wsp.size() == m_wspSize, "Incorrect workspace size");
 
        Array<OneD, NekDouble> tmp = wsp;
        Array<OneD, NekDouble> tmp1 =
            tmp + m_numElmt * m_nquad2 * m_nmodes0 *
                      (2 * m_nmodes1 - m_nmodes0 + 1) / 2;
 
        int mode    = 0;
        int mode1   = 0;
        int cnt     = 0;
        int ncoeffs = m_stdExp->GetNcoeffs();
 
        // Perform summation over '2' direction
        for (int i = 0; i < m_nmodes0; ++i)
        {
            for (int j = 0; j < m_nmodes1 - i; ++j, ++cnt)
            {
                Blas::Dgemm('N', 'N', m_nquad2, m_numElmt, m_nmodes2 - i - j,
                            1.0, m_base2.get() + mode * m_nquad2, m_nquad2,
                            input.get() + mode1, ncoeffs, 0.0,
                            tmp.get() + cnt * m_nquad2 * m_numElmt, m_nquad2);
                mode += m_nmodes2 - i - j;
                mode1 += m_nmodes2 - i - j;
            }
 
            // increment mode in case m_nmodes1!=m_nmodes2
            mode += (m_nmodes2 - m_nmodes1) * (m_nmodes2 - m_nmodes1 + 1) / 2;
        }
 
        // vertex mode - currently (1+c)/2 x (1-b)/2 x (1-a)/2
        // component is evaluated
        if (m_sortTopEdge)
        {
            for (int i = 0; i < m_numElmt; ++i)
            {
                // top singular vertex
                // (1+c)/2 x (1+b)/2 x (1-a)/2 component
                Blas::Daxpy(m_nquad2, input[1 + i * ncoeffs],
                            m_base2.get() + m_nquad2, 1,
                            &tmp[m_nquad2 * m_numElmt] + i * m_nquad2, 1);
 
                // top singular vertex
                // (1+c)/2 x (1-b)/2 x (1+a)/2 component
                Blas::Daxpy(
                    m_nquad2, input[1 + i * ncoeffs], m_base2.get() + m_nquad2,
                    1, &tmp[m_nmodes1 * m_nquad2 * m_numElmt] + i * m_nquad2,
                    1);
            }
        }
 
        // Perform summation over '1' direction
        mode = 0;
        for (int i = 0; i < m_nmodes0; ++i)
        {
            Blas::Dgemm('N', 'T', m_nquad1, m_nquad2 * m_numElmt, m_nmodes1 - i,
                        1.0, m_base1.get() + mode * m_nquad1, m_nquad1,
                        tmp.get() + mode * m_nquad2 * m_numElmt,
                        m_nquad2 * m_numElmt, 0.0,
                        tmp1.get() + i * m_nquad1 * m_nquad2 * m_numElmt,
                        m_nquad1);
            mode += m_nmodes1 - i;
        }
 
        // fix for modified basis by adding additional split of
        // top and base singular vertex modes as well as singular
        // edge
        if (m_sortTopEdge)
        {
            // this could probably be a dgemv or higher if we
            // made a specialised m_base1[m_nuqad1] array
            // containing multiply copies
            for (int i = 0; i < m_numElmt; ++i)
            {
                // sort out singular vertices and singular
                // edge components with (1+b)/2 (1+a)/2 form
                for (int j = 0; j < m_nquad2; ++j)
                {
                    Blas::Daxpy(m_nquad1,
                                tmp[m_nquad2 * m_numElmt + i * m_nquad2 + j],
                                m_base1.get() + m_nquad1, 1,
                                &tmp1[m_nquad1 * m_nquad2 * m_numElmt] +
                                    i * m_nquad1 * m_nquad2 + j * m_nquad1,
                                1);
                }
            }
        }
 
        // Perform summation over '0' direction
        Blas::Dgemm('N', 'T', m_nquad0, m_nquad1 * m_nquad2 * m_numElmt,
                    m_nmodes0, 1.0, m_base0.get(), m_nquad0, tmp1.get(),
                    m_nquad1 * m_nquad2 * m_numElmt, 0.0, output0.get(),
                    m_nquad0);
    }

References ASSERTL1, Blas::Daxpy(), Blas::Dgemm(), m_base0, m_base1, m_base2, m_nmodes0, m_nmodes1, m_nmodes2, m_nquad0, m_nquad1, m_nquad2, Nektar::Collections::Operator::m_numElmt, m_sortTopEdge, Nektar::Collections::Operator::m_stdExp, and Nektar::Collections::Operator::m_wspSize.

operator()() [2/2]

void Nektar::Collections::BwdTrans_SumFac_Tet::operator() ( int  dir, const Array< OneD, const NekDouble > &  input, Array< OneD, NekDouble > &  output, Array< OneD, NekDouble > &  wsp  )

inlinefinalvirtual

Implements Nektar::Collections::Operator.

Definition at line 880 of file BwdTrans.cpp.

    {
        ASSERTL0(false, "Not valid for this operator.");
    }

References ASSERTL0.

Member Data Documentation

m_base0

Array<OneD, const NekDouble> Nektar::Collections::BwdTrans_SumFac_Tet::m_base0

protected

Definition at line 895 of file BwdTrans.cpp.

Referenced by operator()().

m_base1

Array<OneD, const NekDouble> Nektar::Collections::BwdTrans_SumFac_Tet::m_base1

protected

Definition at line 896 of file BwdTrans.cpp.

Referenced by operator()().

m_base2

Array<OneD, const NekDouble> Nektar::Collections::BwdTrans_SumFac_Tet::m_base2

protected

Definition at line 897 of file BwdTrans.cpp.

Referenced by operator()().

m_nmodes0

const int Nektar::Collections::BwdTrans_SumFac_Tet::m_nmodes0

protected

Definition at line 892 of file BwdTrans.cpp.

Referenced by BwdTrans_SumFac_Tet(), and operator()().

m_nmodes1

const int Nektar::Collections::BwdTrans_SumFac_Tet::m_nmodes1

protected

Definition at line 893 of file BwdTrans.cpp.

Referenced by BwdTrans_SumFac_Tet(), and operator()().

m_nmodes2

const int Nektar::Collections::BwdTrans_SumFac_Tet::m_nmodes2

protected

Definition at line 894 of file BwdTrans.cpp.

Referenced by operator()().

m_nquad0

const int Nektar::Collections::BwdTrans_SumFac_Tet::m_nquad0

protected

Definition at line 889 of file BwdTrans.cpp.

Referenced by operator()().

m_nquad1

const int Nektar::Collections::BwdTrans_SumFac_Tet::m_nquad1

protected

Definition at line 890 of file BwdTrans.cpp.

Referenced by BwdTrans_SumFac_Tet(), and operator()().

m_nquad2

const int Nektar::Collections::BwdTrans_SumFac_Tet::m_nquad2

protected

Definition at line 891 of file BwdTrans.cpp.

Referenced by BwdTrans_SumFac_Tet(), and operator()().

m_sortTopEdge

bool Nektar::Collections::BwdTrans_SumFac_Tet::m_sortTopEdge

protected

Definition at line 898 of file BwdTrans.cpp.

Referenced by BwdTrans_SumFac_Tet(), and operator()().