StdPointExp.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File $Source:
// /usr/sci/projects/Nektar/cvs/Nektar++/library/LocalRegions/PointExp.cpp,v $
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
// Department of Aeronautics, Imperial College London (UK), and Scientific
// Computing and Imaging Institute, University of Utah (USA).
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
//
// Description: Definition of a Point expansion
//
///////////////////////////////////////////////////////////////////////////////
 
#include <boost/core/ignore_unused.hpp>
 
#include <StdRegions/StdPointExp.h>
 
using namespace std;
 
namespace Nektar
{
namespace StdRegions
{
 
StdPointExp::StdPointExp()
{
}
 
StdPointExp::StdPointExp(const LibUtilities::BasisKey &Ba)
    : StdExpansion(Ba.GetNumModes(), 1, Ba),
      StdExpansion0D(Ba.GetNumModes(), Ba)
{
}
 
/** \brief Copy Constructor */
 
StdPointExp::StdPointExp(const StdPointExp &T)
    : StdExpansion(T), StdExpansion0D(T)
{
}
 
StdPointExp::~StdPointExp()
{
}
 
LibUtilities::ShapeType StdPointExp::v_DetShapeType() const
{
    return LibUtilities::ePoint;
}
 
void StdPointExp::v_GetCoords(Array<OneD, NekDouble> &coords_0,
                              Array<OneD, NekDouble> &coords_1,
                              Array<OneD, NekDouble> &coords_2)
{
    boost::ignore_unused(coords_1, coords_2);
    Blas::Dcopy(GetNumPoints(0), (m_base[0]->GetZ()).get(), 1, &coords_0[0], 1);
}
 
void StdPointExp::v_BwdTrans(const Array<OneD, const NekDouble> &inarray,
                             Array<OneD, NekDouble> &outarray)
{
    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()).get(), nquad, &inarray[0], 1, 0.0,
                    &outarray[0], 1);
    }
}
 
void StdPointExp::v_FwdTrans(const Array<OneD, const NekDouble> &inarray,
                             Array<OneD, NekDouble> &outarray)
{
    if (m_base[0]->Collocation())
    {
        Vmath::Vcopy(m_ncoeffs, inarray, 1, outarray, 1);
    }
    else
    {
        v_IProductWRTBase(inarray, outarray);
 
        // get Mass matrix inverse
        StdMatrixKey masskey(eInvMass, v_DetShapeType(), *this);
        DNekMatSharedPtr matsys = GetStdMatrix(masskey);
 
        NekVector<NekDouble> in(m_ncoeffs, outarray, eCopy);
        NekVector<NekDouble> out(m_ncoeffs, outarray, eWrapper);
 
        out = (*matsys) * in;
    }
}
 
void StdPointExp::v_FwdTrans_BndConstrained(
    const Array<OneD, const NekDouble> &inarray,
    Array<OneD, NekDouble> &outarray)
{
    if (m_base[0]->Collocation())
    {
        Vmath::Vcopy(m_ncoeffs, inarray, 1, outarray, 1);
    }
    else
    {
        int nInteriorDofs = m_ncoeffs - 2;
        int offset        = 0;
 
        switch (m_base[0]->GetBasisType())
        {
            case LibUtilities::eGLL_Lagrange:
            {
                offset = 1;
            }
            break;
            case LibUtilities::eModified_A:
            case LibUtilities::eModified_B:
            {
                offset = 2;
            }
            break;
            default:
                ASSERTL0(false, "This type of FwdTrans is not defined for this "
                                "shapex type");
        }
 
        fill(outarray.get(), outarray.get() + m_ncoeffs, 0.0);
 
        outarray[GetVertexMap(0)] = inarray[0];
        outarray[GetVertexMap(1)] = inarray[m_base[0]->GetNumPoints() - 1];
 
        if (m_ncoeffs > 2)
        {
            // ideally, we would like to have tmp0 to be replaced by
            // outarray (currently MassMatrixOp does not allow aliasing)
            Array<OneD, NekDouble> tmp0(m_ncoeffs);
            Array<OneD, NekDouble> tmp1(m_ncoeffs);
 
            StdMatrixKey masskey(eMass, v_DetShapeType(), *this);
            MassMatrixOp(outarray, tmp0, masskey);
            v_IProductWRTBase(inarray, tmp1);
 
            Vmath::Vsub(m_ncoeffs, tmp1, 1, tmp0, 1, tmp1, 1);
 
            // get Mass matrix inverse (only of interior DOF)
            DNekMatSharedPtr matsys =
                (m_stdStaticCondMatrixManager[masskey])->GetBlock(1, 1);
 
            Blas::Dgemv('N', nInteriorDofs, nInteriorDofs, 1.0,
                        &(matsys->GetPtr())[0], nInteriorDofs,
                        tmp1.get() + offset, 1, 0.0, outarray.get() + offset,
                        1);
        }
    }
}
 
void StdPointExp::v_BwdTrans_SumFac(const Array<OneD, const NekDouble> &inarray,
                                    Array<OneD, NekDouble> &outarray)
{
    v_BwdTrans(inarray, outarray);
}
 
// Inner product
void StdPointExp::v_IProductWRTBase(const Array<OneD, const NekDouble> &base,
                                    const Array<OneD, const NekDouble> &inarray,
                                    Array<OneD, NekDouble> &outarray,
                                    int coll_check)
{
    int nquad = m_base[0]->GetNumPoints();
    Array<OneD, NekDouble> tmp(nquad);
    Array<OneD, const NekDouble> z = m_base[0]->GetZ();
    Array<OneD, const NekDouble> w = m_base[0]->GetW();
 
    Vmath::Vmul(nquad, inarray, 1, w, 1, tmp, 1);
 
    if (coll_check && m_base[0]->Collocation())
    {
        Vmath::Vcopy(nquad, tmp, 1, outarray, 1);
    }
    else
    {
        Blas::Dgemv('T', nquad, m_ncoeffs, 1.0, base.get(), nquad, &tmp[0], 1,
                    0.0, outarray.get(), 1);
    }
}
 
void StdPointExp::v_IProductWRTBase(const Array<OneD, const NekDouble> &inarray,
                                    Array<OneD, NekDouble> &outarray)
{
    v_IProductWRTBase(m_base[0]->GetBdata(), inarray, outarray, 1);
}
 
void StdPointExp::v_IProductWRTDerivBase(
    const int dir, const Array<OneD, const NekDouble> &inarray,
    Array<OneD, NekDouble> &outarray)
{
    boost::ignore_unused(dir);
    ASSERTL1(dir >= 0 && dir < 1, "input dir is out of range");
    v_IProductWRTBase(m_base[0]->GetDbdata(), inarray, outarray, 1);
}
 
void StdPointExp::v_IProductWRTBase_SumFac(
    const Array<OneD, const NekDouble> &inarray,
    Array<OneD, NekDouble> &outarray, bool multiplybyweights)
{
    boost::ignore_unused(multiplybyweights);
    v_IProductWRTBase(m_base[0]->GetBdata(), inarray, outarray, 1);
}
 
DNekMatSharedPtr StdPointExp::v_GenMatrix(const StdMatrixKey &mkey)
{
    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;
}
 
DNekMatSharedPtr StdPointExp::v_CreateStdMatrix(const StdMatrixKey &mkey)
{
    return v_GenMatrix(mkey);
}
 
} // namespace StdRegions
} // namespace Nektar