DEIM.H

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/*---------------------------------------------------------------------------*\
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 * In real Time Highly Advanced Computational Applications for Finite Volumes
 * Copyright (C) 2017 by the ITHACA-FV authors
-------------------------------------------------------------------------------
License
    This file is part of ITHACA-FV
    ITHACA-FV is free software: you can redistribute it and/or modify
    it under the terms of the GNU Lesser General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.
    ITHACA-FV is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
    GNU Lesser General Public License for more details.
    You should have received a copy of the GNU Lesser General Public License
    along with ITHACA-FV. If not, see <http://www.gnu.org/licenses/>.
Class
    DEIM
Description
    Implementation of the discrete empirical interpolation method
SourceFiles
    DEIM.C
\*---------------------------------------------------------------------------*/
#include "fvCFD.H"
#include "ITHACAPOD.H"
#include "Foam2Eigen.H"
#include "EigenFunctions.H"
#include "ITHACAutilities.H"
#include "fvMeshSubset.H"
 
 
template<typename T>
class DEIM
{
    public:
 
        //----------------------------------------------------------------------
        DEIM (PtrList<T>& SnapShotsMatrix, label MaxModes, word FunctionName,
              word FieldName);
 
        //----------------------------------------------------------------------
        DEIM (PtrList<T>& SnapShotsMatrix, label MaxModesA, label MaxModesB,
              word MatrixName);

        PtrList<T> SnapShotsMatrix;

        PtrList<T> modes;

        std::tuple<List<Eigen::SparseMatrix<double >>, List<Eigen::VectorXd >>
        Matrix_Modes;

        label MaxModes;
        label MaxModesA;
        label MaxModesB;

        word FunctionName;

        double tolerance;

        Eigen::VectorXd theta;
        Eigen::VectorXd thetaA;
        Eigen::VectorXd thetaB;

        label Ncells;

        bool source;

        word MatrixName;

        Eigen::MatrixXd MatrixModes;

        Eigen::MatrixXd MatrixOnline;
        List<Eigen::SparseMatrix<double >> MatrixOnlineA;
        Eigen::MatrixXd MatrixOnlineB;

        Eigen::MatrixXd U;
        List<Eigen::SparseMatrix<double >> UA;
        Eigen::MatrixXd UB;

        autoPtr<IOList<label >> magicPoints;
        autoPtr<IOList<label >> magicPointsArow;
        autoPtr<IOList<label >> magicPointsAcol;
        autoPtr<IOList<label >> magicPointsB;

        autoPtr<IOList<labelList >> totalMagicPoints;
        autoPtr<IOList<labelList >> totalMagicPointsA;
        autoPtr<IOList<labelList >> totalMagicPointsB;

        autoPtr<IOList<label >> uniqueMagicPoints;
        autoPtr<IOList<label >> uniqueMagicPointsA;
        autoPtr<IOList<label >> uniqueMagicPointsB;

        word Folder;
        word FolderM;

        autoPtr<IOList<label >> xyz;
        autoPtr<IOList<label >> xyz_Arow;
        autoPtr<IOList<label >> xyz_Acol;
        autoPtr<IOList<label >> xyz_B;

        List<label> localMagicPoints;
        List<label> localMagicPointsArow;
        List<label> localMagicPointsAcol;
        List<label> localMagicPointsB;

        Eigen::SparseMatrix<double> P;
        List<Eigen::SparseMatrix<double >> PA;
        Eigen::SparseMatrix<double> PB;

        autoPtr<fvMeshSubset> submesh;
        autoPtr<fvMeshSubset> submeshA;
        autoPtr<fvMeshSubset> submeshB;

        bool runSubMesh;
        bool runSubMeshA;
        bool runSubMeshB;
 
        //----------------------------------------------------------------------
        template <class S>
        S generateSubmesh(label layers, const fvMesh& mesh, S field,
                          label secondTime = 0);
 
        //----------------------------------------------------------------------
        template <class S>
        S generateSubmeshMatrix(label layers, const fvMesh& mesh, S field,
                                label secondTime = 0);
 
        //----------------------------------------------------------------------
        template <class S>
        S generateSubmeshVector(label layers, const fvMesh& mesh, S field,
                                label secondTime = 0);
 
        //----------------------------------------------------------------------
        template <class F>
        F generateSubField(F& field);
 
        //----------------------------------------------------------------------
        template <class F>
        F generateSubFieldMatrix(F& field);
 
        //----------------------------------------------------------------------
        template <class F>
        F generateSubFieldVector(F& field);
 
        //----------------------------------------------------------------------
        void onlineCoeffs();
 
        //----------------------------------------------------------------------
        List<label> global2local(List<label>& points,
                                 fvMeshSubset& submesh);
 
        //----------------------------------------------------------------------
        void check3DIndices(label& ind_rowA, label&  ind_colA, label& xyz_rowA,
                            label& xyz_colA);
 
        //----------------------------------------------------------------------
        void check3DIndices(label& ind_rowA, label& xyz_rowA);
 
        //----------------------------------------------------------------------
        label getNcells(label sizeM);
 
        //----------------------------------------------------------------------
        void setMagicPoints(labelList& newMagicPoints, labelList& newxyz);
 
};