Forward3DTetraElement0thOrder.h

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// Copyright (c) 2021 Yoshiya Usui
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#ifndef DBLDEF_FORWARD_3D_TETRA_ELEMENT_0TH_ORDER
#define DBLDEF_FORWARD_3D_TETRA_ELEMENT_0TH_ORDER
 
#include "Forward3D.h"
#include "MeshDataTetraElement.h"
#include "Forward2DTriangleElement0thOrderEdgeBased.h"
#include <set>
 
// Class of 3D forward calculation by using 0th order tetra element 
class Forward3DTetraElement0thOrder : public Forward3D {
 
public:
 
    // Constructer
    Forward3DTetraElement0thOrder();
 
    // Destructer
    virtual ~Forward3DTetraElement0thOrder();
 
    //Run 3D forward calculation
    virtual void forwardCalculation( const double freq, const int iPol );
 
    // Calculate X component of electric field
    virtual std::complex<double> calcValueElectricFieldXDirection( const int iElem, const double uCoord, const double vCoord, const double wCoord ) const;
 
    // Calculate Y component of electric field
    virtual std::complex<double> calcValueElectricFieldYDirection( const int iElem, const double uCoord, const double vCoord, const double wCoord ) const;
 
    // Calculate Z component of electric field
    virtual std::complex<double> calcValueElectricFieldZDirection( const int iElem, const double uCoord, const double vCoord, const double wCoord ) const;
 
    // Calculate X component of electric field only from the edges on the Earth's surface
    virtual std::complex<double> calcValueElectricFieldXDirectionFromEdgesOnEarthSurface( const int iElem, const int iFace, const double uCoord, const double vCoord ) const;
 
    // Calculate Y component of electric field only from the edges on the Earth's surface
    virtual std::complex<double> calcValueElectricFieldYDirectionFromEdgesOnEarthSurface( const int iElem, const int iFace, const double uCoord, const double vCoord ) const;
 
    // Calculate tangential electric field directed to X from all edges of owner element
    virtual std::complex<double> calcValueElectricFieldTangentialXFromAllEdges( const int iElem, const int iFace, const double xLocal, const double yLocal, const double zLocal ) const;
 
    // Calculate tangential electric field directed to Y from all edges of owner element
    virtual std::complex<double> calcValueElectricFieldTangentialYFromAllEdges( const int iElem, const int iFace, const double xLocal, const double yLocal, const double zLocal ) const;
 
    // Calculate tangential electric field directed to X
    virtual std::complex<double> calcValueElectricFieldTangentialX( const int iElem, const int iFace, const double uCoord, const double vCoord ) const;
 
    // Calculate tangential electric field directed to Y
    virtual std::complex<double> calcValueElectricFieldTangentialY( const int iElem, const int iFace, const double uCoord, const double vCoord ) const;
 
    // Calculate Z component of rotated electric field
    virtual std::complex<double> calcValueRotatedElectricFieldZDirection( const int iElem, const double uCoord, const double vCoord, const double wCoord ) const;
 
    // Calculate normal component of rotated electric field
    virtual std::complex<double> calcValueRotatedElectricFieldNormal( const int iElem, const int iFace, const double uCoord, const double vCoord ) const;
 
    // Calculate X component of magnetic field
    virtual std::complex<double> calcValueMagneticFieldXDirection( const int iElem, const double uCoord, const double vCoord, const double wCoord ) const;
 
    // Calculate Y component of magnetic field
    virtual std::complex<double> calcValueMagneticFieldYDirection( const int iElem, const double uCoord, const double vCoord, const double wCoord ) const;
 
    // Calculate Z component of magnetic field
    virtual std::complex<double> calcValueMagneticFieldZDirection( const int iElem, const double uCoord, const double vCoord, const double wCoord ) const;
 
    // Calculate difference of voltage for brick element
    virtual std::complex<double> calcVoltageDifference( const int nElem, const int* elememtsIncludingDipole,
        const CommonParameters::locationXY* localCoordinateValuesStartPoint, const CommonParameters::locationXY* localCoordinateValuesEndPoint ) const;
 
    // Calculate difference of voltage
    virtual std::complex<double> calcVoltageDifference( const int nElem, const int* const elememtsIncludingDipole, const int* const facesIncludingDipole, 
        const CommonParameters::AreaCoords* const areaCoordValStartPoint, const CommonParameters::AreaCoords* const areaCoordValEndPoint ) const;
 
    // Calculate interpolator vector of X component of electric field
    virtual void calcInterpolatorVectorOfElectricFieldXDirection( const int iElem, const double uCoord, const double vCoord, const double wCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
 
    // Calculate interpolator vector of Y component of electric field
    virtual void calcInterpolatorVectorOfElectricFieldYDirection( const int iElem, const double uCoord, const double vCoord, const double wCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
 
    // Calculate interpolator vector of Z component of electric field
    virtual void calcInterpolatorVectorOfElectricFieldZDirection( const int iElem, const double uCoord, const double vCoord, const double wCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
 
    // Calculate interpolator vector of Z component of rotated electric field
    virtual void calcInterpolatorVectorOfRotatedElectricFieldZDirection( const int iElem, const double uCoord, const double vCoord, const double wCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
 
    // Calculate interpolator vector of X component of electric field only from the edges on the Earth's surface
    virtual void calcInterpolatorVectorOfElectricFieldXDirectionFromEdgesOnEarthSurface( const int iElem, const int iFace, const double uCoord, const double vCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
 
    // Calculate interpolator vector of Y component of electric field only from the edges on the Earth's surface
    virtual void calcInterpolatorVectorOfElectricFieldYDirectionFromEdgesOnEarthSurface( const int iElem, const int iFace, const double uCoord, const double vCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
 
    // Calculate interpolator vector of tangential electric field directed to X from all edges
    virtual void calcInterpolatorVectorOfElectricFieldTangentialXFromAllEdges( const int iElem, const int iFace, const double xLocal, const double yLocal, const double zLocal, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
 
    // Calculate interpolator vector of tangential electric field directed to Y from all edges
    virtual void calcInterpolatorVectorOfElectricFieldTangentialYFromAllEdges( const int iElem, const int iFace, const double xLocal, const double yLocal, const double zLocal, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
 
    // Calculate interpolator vector of tangential electric field directed to X
    virtual void calcInterpolatorVectorOfElectricFieldTangentialX( const int iElem, const int iFace, const double uCoord, const double vCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
 
    // Calculate interpolator vector of tangential electric field directed to Y
    virtual void calcInterpolatorVectorOfElectricFieldTangentialY( const int iElem, const int iFace, const double uCoord, const double vCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
 
    // Calculate interpolator vector of normal component of rotated electric field
    virtual void calcInterpolatorVectorOfRotatedElectricFieldNormal( const int iElem, const int iFace, const double uCoord, const double vCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
 
    // Calculate interpolator vector of X component of magnetic field
    virtual void calcInterpolatorVectorOfMagneticFieldXDirection( const int iElem, const double uCoord, const double vCoord, const double wCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
 
    // Calculate interpolator vector of Y component of magnetic field
    virtual void calcInterpolatorVectorOfMagneticFieldYDirection( const int iElem, const double uCoord, const double vCoord, const double wCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
 
    // Calculate interpolator vector of Z component of magnetic field
    virtual void calcInterpolatorVectorOfMagneticFieldZDirection( const int iElem, const double uCoord, const double vCoord, const double wCoord, const int irhs, const std::complex<double>& factor = std::complex<double>(1.0,0.0) );
 
    // Calculate interpolator vector of difference of voltage
    virtual void calcInterpolatorVectorOfVoltageDifference( const int nElem, const int* elememtsIncludingDipole, const CommonParameters::locationXY* localCoordinateValuesStartPoint, const CommonParameters::locationXY* localCoordinateValuesEndPoint, const int irhs );
 
    // Calculate interpolator vector of difference of voltage
    virtual void calcInterpolatorVectorOfVoltageDifference( const int nElem, const int* elememtsIncludingDipole, const int* const facesIncludingDipole, 
        const CommonParameters::AreaCoords* const areaCoordValStartPoint, const CommonParameters::AreaCoords* const areaCoordValEndPoint, const int irhs );
 
    // Set non-zero strucuture of matrix for forward calculation
    virtual void setNonZeroStrucuture( ComplexSparseSquareSymmetricMatrix& matrix );
 
    // Set non-zero values of matrix and right-hande side vector for forward calculation
    virtual void setNonZeroValues( ComplexSparseSquareSymmetricMatrix& matrix );
 
    //----- DO NOT DELETE FOR FUTURE USE >>>>>
    //virtual void setNonZeroStrucuture( ComplexSparseSquareSymmetricMatrix& matrix, const int blkID, std::set<int>& nonZeroRowsAndCols );
 
    //virtual void setNonZeroValues( ComplexSparseSquareSymmetricMatrix& matrix, const int blkID );
    //----- DO NOT DELETE FOR FUTURE USE <<<<<
 
    // Calculate vector x of the reciprocity algorithm of Rodi (1976)
    virtual void calVectorXOfReciprocityAlgorithm( const std::complex<double>* const vecIn, const int blkID, std::complex<double>* const vecOut, std::vector<int>& nonZeroRows );
 
    // Call function inputMeshData of the class MeshData
    virtual void callInputMeshData();
 
    // Get pointer to the class MeshData
    virtual const MeshData* getPointerToMeshData() const;
 
    // Get pointer to the class MeshDataTetraElement
    const MeshDataTetraElement* getPointerToMeshDataTetraElement() const;
    
private:
 
    const static int DIRICHLET_BOUNDARY_NONZERO_VALUE = -1;// This must be the same as the ones of other functions !!
 
    const static int DIRICHLET_BOUNDARY_ZERO_VALUE    = -2;// This must be the same as the ones of other functions !!
 
    const static int m_numIntegralPoints = 4;
 
    double m_uCoord[m_numIntegralPoints];
 
    double m_vCoord[m_numIntegralPoints];
 
    double m_wCoord[m_numIntegralPoints];
 
    double m_weights[m_numIntegralPoints];
 
    const static double m_eps;
 
    // Copy constructer
    Forward3DTetraElement0thOrder(const Forward3DTetraElement0thOrder& rhs);
 
    // Copy assignment operator
    Forward3DTetraElement0thOrder& operator=(const Forward3DTetraElement0thOrder& rhs);
 
    // Class of 2D forward calculation using triangle elements
    //Forward2DTriangleElement* m_Fwd2DTriangleElement[4][2];
    Forward2DTriangleElement0thOrderEdgeBased* m_Fwd2DTriangleElement[4];
 
    MeshDataTetraElement m_MeshDataTetraElement;
 
    bool** m_signInversion;
 
#ifdef _ANISOTOROPY
    // Set non-zero values of matrix and right-hande side vector for isotropic medium
    void setNonZeroValuesIsotropy( ComplexSparseSquareSymmetricMatrix& matrix );
 
    // Set non-zero values of matrix and right-hande side vector for anisotropic medium
    void setNonZeroValuesAnisotropy( ComplexSparseSquareSymmetricMatrix& matrix );
#endif
 
    // Calculate array converting local IDs to global ones
    void calcArrayConvertLocalID2Global();
 
    // Calculate array converting global IDs to the ones after degeneration
    void calcArrayConvertIDsGlobal2AfterDegenerated();
 
    // Calculate array converting global edge IDs non-zero electric field values specified to the edges
    void calcArrayConvertIDGlobal2NonZeroValues();
 
    // Get shape functions of the 1st direction with respect to the reference element coordinate system
    inline double getShapeFuncReferenceCoordU( const double uLocal, const double vLocal, const double wLocal, const int num ) const;
 
    // Get shape functions of the 2nd direction with respect to the reference element coordinate system
    inline double getShapeFuncReferenceCoordV( const double uLocal, const double vLocal, const double wLocal, const int num ) const;
 
    // Get shape functions of the 3rd direction with respect to the reference element coordinate system
    inline double getShapeFuncReferenceCoordW( const double uLocal, const double vLocal, const double wLocal, const int num ) const;
 
    // Get 2D shape functions of the 1st direction with respect to the reference element coordinate system
    inline double get2DShapeFuncReferenceCoordU( const double uLocal, const double vLocal, const int num ) const;
 
    // Get 2D shape functions of the 2nd direction with respect to the reference element coordinate system
    inline double get2DShapeFuncReferenceCoordV( const double uLocal, const double vLocal, const int num ) const;
 
    // Get 2D shape functions rotated with respect to the reference element coordinate system
    inline double get2DShapeFuncRotated() const;
 
    // Get shape functions rotated with respect to the reference element coordinate system ( The 1st direction )
    inline double getShapeFuncRotatedReferenceCoordU( const int num ) const;
 
    // Get shape functions rotated with respect to the reference element coordinate system ( The 2nd direction )
    inline double getShapeFuncRotatedReferenceCoordV( const int num ) const;
 
    // Get shape functions rotated with respect to the reference element coordinate system ( The 3rd direction )
    inline double getShapeFuncRotatedReferenceCoordW( const int num ) const;
 
    // Calculate jacobian matrix of the elements
    void calcJacobianMatrix( const int elemID, Forward3D::Matrix3x3& JacobMat, double& determinant ) const;
 
    // Calculate 2D jacobian matrix of the faces
    void calc2DJacobianMatrix( const int elemID, const int faceID, Forward3D::Matrix2x2& JacobMat, double& determinant ) const;
 
    // Calculate the inclinations of the element's face
    void calcInclinationsOfElementFace( const int elemID, const int faceID, double& dLengdX, double& dLengdY ) const;
 
    // Calculate inverse of jacobian matrix  multiplied by determinant
    void calcInverseOfJacobianMatrix( const Forward3D::Matrix3x3& jacobMat, Forward3D::Matrix3x3& invJacobMat ) const;
 
    // Calculate flag of sign inversion. This function used by calcVoltageDifference.
    bool calcRatioAndReverseFlag( const int faceID, const int edgeIDLocal2D, const CommonParameters::AreaCoords& startPoint, const CommonParameters::AreaCoords& endPoint, double& ratio ) const;
 
    // Output results of forward calculation to VTK file
    virtual void outputResultToVTK() const;
 
    // Output results of forward calculation to binary file
    virtual void outputResultToBinary( const int iFreq, const int iPol ) const;
 
    // Calculate integrals of which element matrix consisits
    void calcIntegrals( const int elemID, double* eMat, double* fMat ) const;
    
    // Calculate determinant of 3x3 matrix
    double calcDeterminant( const double* rowVec0, const double* rowVec1, const double* rowVec2, const int icol ) const;
 
};
 
#endif