MatrixSymmetric.h

Go to the documentation of this file.

//Copyright (c) 2013-2023, The MercuryDPM Developers Team. All rights reserved.
//For the list of developers, see <http://www.MercuryDPM.org/Team>.
//
//Redistribution and use in source and binary forms, with or without
//modification, are permitted provided that the following conditions are met:
//  * Redistributions of source code must retain the above copyright
//    notice, this list of conditions and the following disclaimer.
//  * Redistributions in binary form must reproduce the above copyright
//    notice, this list of conditions and the following disclaimer in the
//    documentation and/or other materials provided with the distribution.
//  * Neither the name MercuryDPM nor the
//    names of its contributors may be used to endorse or promote products
//    derived from this software without specific prior written permission.
//
//THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
//ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
//WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
//DISCLAIMED. IN NO EVENT SHALL THE MERCURYDPM DEVELOPERS TEAM BE LIABLE FOR ANY
//DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
//(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
//LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
//ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
//(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
//SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 
#ifndef MECURYDPM_MATRIXSYMMETRIC_H
#define MECURYDPM_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