MatrixSymmetric.h

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#ifndef MATRIXSYMMETRIC_H
#define MATRIXSYMMETRIC_H

#include <cmath>
#include <sstream>
#include "Matrix.h"

class MatrixSymmetric3D
{
public:
    Mdouble XX, XY, XZ, YY, YZ, ZZ;
    
    explicit operator Matrix3D() const;
    
    MatrixSymmetric3D();
    
    MatrixSymmetric3D(Mdouble xx, Mdouble xy, Mdouble xz, Mdouble yy, Mdouble yz, Mdouble zz);
    
    void setZero();
    
    Mdouble trace() const;
    
    MatrixSymmetric3D operator+(const MatrixSymmetric3D& A) const;
    
    MatrixSymmetric3D operator-(const MatrixSymmetric3D& A) const;
    
    MatrixSymmetric3D operator+(Mdouble a) const;
    
    MatrixSymmetric3D operator-(Mdouble a) const;
    
    friend Vec3D operator*(const MatrixSymmetric3D& A, const Vec3D& b);
    
    MatrixSymmetric3D operator*(Mdouble a) const;
    
    MatrixSymmetric3D operator/(Mdouble a) const;
    
    friend std::ostream& operator<<(std::ostream& os, const MatrixSymmetric3D& A);
    
    friend std::istream& operator>>(std::istream& is, MatrixSymmetric3D& A);
    
    MatrixSymmetric3D& operator+=(const MatrixSymmetric3D& A);
    
    MatrixSymmetric3D& operator-=(const MatrixSymmetric3D& A);
    
    MatrixSymmetric3D& operator/=(Mdouble a);
    
    static MatrixSymmetric3D square(const MatrixSymmetric3D& A);
    
    static MatrixSymmetric3D sqrt(const MatrixSymmetric3D& A);
    
    static MatrixSymmetric3D selfDyadic(const Vec3D& a);
    
    static MatrixSymmetric3D symmetrisedDyadic(const Vec3D& a, const Vec3D& b);
    
    static MatrixSymmetric3D inverse(const MatrixSymmetric3D& A);
    
    MatrixSymmetric3D inverse() const;
    
    static Mdouble determinant(const MatrixSymmetric3D& A);
    
    MatrixSymmetric3D getCylindricalTensorField(const Vec3D& p) const;
};

#endif