martix.h

class for work with 3d Matrix: rotate, transmit, scale, multiple

//============================================================================
//File Matrix.h
//
//============================================================================

#ifndef __MATRIX__
#define __MATRIX__

#include "Vector.h"

class Matrix
{
public:
  double x[3][3];
  Matrix () {};
  Matrix ( double );
  Matrix ( const Matrix& );
  Matrix ( double, double, double,
           double, double, double,
           double, double, double );
  Matrix& operator = ( const Matrix& );
  Matrix& operator += ( const Matrix& );
  Matrix& operator -= ( const Matrix& );
  Matrix& operator *= ( const Matrix& );
  Matrix& operator *= ( double );
  Matrix& operator /= ( double );
  void Invert();
  void Transpose();
  friend Matrix operator + ( const Matrix&, const Matrix&  );
  friend Matrix operator - ( const Matrix&, const Matrix& );
  friend Matrix operator * ( const Matrix&,double );
  friend Matrix operator * ( const Matrix&, const Matrix& );
  friend Vector operator * ( const Matrix&, const Vector& );
  friend Matrix operator ~ ( const Matrix& );
  friend Matrix operator ! ( const Matrix& );
  friend double Trace(const Matrix& m) {return (m.x[0][0]+m.x[1][1]+m.x[2][2]);};
};

  const Matrix E(1.);

//  Matrix Translate( const Vector& );
  Matrix Scale( const Vector& );
  Matrix RotateX( double );
  Matrix RotateY( double );
  Matrix RotateZ( double );
  Matrix Rotation( const Vector& , double );
  Matrix MirrorX();
  Matrix MirrorY();
  Matrix MirrorZ();
  Matrix Symmetry( const Vector& );
  Matrix AskSymmetry( const Vector& );

#endif