NodalTriFekete.h

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///////////////////////////////////////////////////////////////////////////////
//
// File NodalTriFekete.h
//
// 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).
//
// License for the specific language governing rights and limitations under
// 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
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// DEALINGS IN THE SOFTWARE.
//
// Description: Header file of 2D Nodal Triangle Fekete Points
//
///////////////////////////////////////////////////////////////////////////////

#ifndef NODALTRIFEKETE_H
#define NODALTRIFEKETE_H

#include <LibUtilities/Foundations/FoundationsFwd.hpp>
#include <LibUtilities/Foundations/Points.h>
#include <LibUtilities/Foundations/ManagerAccess.h>
#include <iostream>
#include <boost/shared_ptr.hpp>
#include <LibUtilities/BasicUtils/ErrorUtil.hpp>
#include <LibUtilities/BasicUtils/SharedArray.hpp>
#include <LibUtilities/LibUtilitiesDeclspec.h>

namespace Nektar
{
    namespace LibUtilities
    {

        class NodalTriFekete: public Points<NekDouble>
        {
        public:
            virtual ~NodalTriFekete()
            {
            }

            NodalTriFekete(const PointsKey &key):PointsBaseType(key)
            {
            }

            LIB_UTILITIES_EXPORT static boost::shared_ptr<PointsBaseType>
                Create(const PointsKey &key);

            const MatrixSharedPtrType GetI(const PointsKey &pkey)
            {
                ASSERTL0(pkey.GetPointsDim() == 2,
                         "Fekete Points can only interp to other 2d "
                         "point distributions");
                Array<OneD, const NekDouble> x, y;
                PointsManager()[pkey]->GetPoints(x, y);
                return GetI(x, y);
            }

            const MatrixSharedPtrType GetI(
                const Array<OneD, const NekDouble>& x,
                const Array<OneD, const NekDouble>& y)
            {
                int          numpoints = x.num_elements();
                unsigned int np        = GetTotNumPoints();

                Array<OneD, NekDouble> interp(GetTotNumPoints()*numpoints);
                CalculateInterpMatrix(x, y, interp);

                NekDouble* d = interp.data();
                return MemoryManager<NekMatrix<NekDouble> >
                    ::AllocateSharedPtr(numpoints, np, d);
            }

        private:
            NodalTriFekete():PointsBaseType(NullPointsKey)
            {
            }

            void CalculatePoints();
            void CalculateWeights();
            void CalculateDerivMatrix();
            void NodalPointReorder2d();

            void CalculateInterpMatrix(
                const Array<OneD, const NekDouble> &xi,
                const Array<OneD, const NekDouble> &yi,
                      Array<OneD,       NekDouble> &interp);
        }; // end of NodalTriFekete
   } // end of namespace
} // end of namespace

#endif //NODALTRIFEKETE_H