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);
        }
        
            
    }
}