Kernel/Math/Matrix.h

Go to the documentation of this file.

// This file is part of the MercuryDPM project (https://www.mercurydpm.org).
// Copyright (c), The MercuryDPM Developers Team. All rights reserved.
// License: BSD 3-Clause License; see the LICENSE file in the root directory.
 
#ifndef MECURYDPM_MATRIX_H
#define MECURYDPM_MATRIX_H
 
#include <cmath>
#include <sstream>
#include "Vector.h"
#include "SmallMatrix.h"
 
class Matrix3D
{
public:
    Mdouble XX, XY, XZ, YX, YY, YZ, ZX, ZY, ZZ;
    
    Matrix3D();
    
    Matrix3D(Mdouble xx, Mdouble xy, Mdouble xz, Mdouble yx, Mdouble yy, Mdouble yz,
             Mdouble zx,
             Mdouble zy,
             Mdouble zz);
    
    Matrix3D(const SmallMatrix<3, 3>& matrix);
    
    void setZero();
    
    double trace() const;
    
    Vec3D diag() const;
 
    double determinant() const {
        return XX*(YY*ZZ-YZ*ZY) - XY*(YX*ZZ-YZ*ZX) + XZ*(YX*ZY-YY*ZX);
    }
 
    double deviator() const;
    
    Matrix3D operator+(const Matrix3D& A) const;
    
    Matrix3D operator-(const Matrix3D& A) const;
    
    Matrix3D operator+(Mdouble a) const;
    
    Matrix3D operator-(Mdouble a) const;
    
    Matrix3D operator*(Mdouble a) const;
    
    Vec3D operator*(const Vec3D& a) const;
    
    Matrix3D operator*(const Matrix3D& a) const;
    
    Matrix3D operator/(Mdouble a) const;
    
    friend std::ostream& operator<<(std::ostream& os, const Matrix3D& A);
    
    friend std::istream& operator>>(std::istream& is, Matrix3D& A);
    
    Matrix3D& operator+=(const Matrix3D& A);
    
    Matrix3D& operator-=(const Matrix3D& A);
    
    Matrix3D& operator/=(Mdouble a);
    
    static Matrix3D square(const Matrix3D& A);
    
    static Matrix3D sqrt(const Matrix3D& A);
    
    static Matrix3D dyadic(const Vec3D& a, const Vec3D& b);
    
    static Matrix3D cross(const Vec3D& a, const Matrix3D& b);
    
    static Matrix3D inverse(const Matrix3D& A);
    
    Vec3D ldivide(const Vec3D& b);
    
    Matrix3D getCylindricalTensorField(const Vec3D& p) const;
};
 
 
#endif