mat.hpp

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//=============================================================================
//! double-precision 3x3 matrix class
class mat
{
public:
  //// members ////
  double xx; //!< \f$ M_{00} \f$ component
  double xy; //!< \f$ M_{01} \f$ component
  double xz; //!< \f$ M_{02} \f$ component
  double yx; //!< \f$ M_{10} \f$ component
  double yy; //!< \f$ M_{11} \f$ component
  double yz; //!< \f$ M_{12} \f$ component
  double zx; //!< \f$ M_{20} \f$ component
  double zy; //!< \f$ M_{21} \f$ component
  double zz; //!< \f$ M_{22} \f$ component
  
  //// constructer////
  inline mat();
  inline mat(const mat&);
  inline mat(const double&, const double&, const double&,
             const double&, const double&, const double&,
             const double&, const double&, const double&);
  
  //// destructer ////
  inline ~mat();
  
  //// io ////
  inline double& operator()(const int&, const int&);
  inline double operator()(const int&, const int&) const;
  inline friend std::ostream& operator<<(std::ostream&, const mat&);
  
  //// calc ////
  inline friend double det(const mat&);
  inline friend mat inv(const mat&);
  
  //// misc ////
  inline friend mat trans(const mat&);
  inline friend void swap(mat&, mat&);
  
  //// unary ////
  inline mat operator+(void);
  inline mat operator-(void);
  
  //// operators with mat ////
  inline mat& operator=(const mat&);
  inline mat& operator+=(const mat&);
  inline mat& operator-=(const mat&);
  inline mat& operator*=(const mat&);
  inline friend mat operator+(const mat&, const mat&);
  inline friend mat operator-(const mat&, const mat&);
  inline friend mat operator*(const mat&, const mat&);
  
  //// operators with vec ////
  inline friend vec operator*(const mat&, const vec&);
  
  //// operators with double ////
  inline mat& operator*=(const double&);
  inline mat& operator/=(const double&);
  inline friend mat operator*(const mat&, const double&);
  inline friend mat operator/(const mat&, const double&);
  
  //// * ////
  inline friend mat operator*(const double&, const mat&);
};

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