lowerTriangularMatrix.h

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#ifndef LOWER_TRIANGULAR_MATRIX_H
#define LOWER_TRIANGULAR_MATRIX_H
 
#include "utils.h"
#include "matrix.h"
 
class LTMatrix : public Matrix {
    public: 
        /* CONSTRUCTORS */
        LTMatrix(); 
        LTMatrix(uint16_t , uint16_t );
        LTMatrix(uint16_t ); 
        LTMatrix(const LTMatrix & ); 
 
        /* DESTRUCTORS */
        ~LTMatrix();
 
        /*ACCESSORS */
 
        /* METHODS */
        uint16_t max_col_from_row(uint16_t ) const; 
 
        /* OPERATORS */
        double & operator()(uint32_t ) const; 
        double & operator()(uint16_t, uint16_t) const;
 
        LTMatrix & operator=(const LTMatrix & );
 
        LTMatrix operator-() const;
 
        friend LTMatrix operator*(const LTMatrix & , const LTMatrix & ); 
        friend Vector operator*(const LTMatrix & , const Vector & ); 
        friend LTMatrix operator*(const double , const LTMatrix & ); 
        friend LTMatrix operator*(const LTMatrix & , const double );
 
        friend LTMatrix operator+(const LTMatrix & , const LTMatrix & ); 
        friend LTMatrix operator+(const double , const LTMatrix & ); 
        friend LTMatrix operator+(const LTMatrix & , const double );
 
        friend LTMatrix operator-(const LTMatrix & , const LTMatrix & ); 
        friend LTMatrix operator-(const LTMatrix & , const double );
        friend LTMatrix operator-(const double , const LTMatrix & ); 
        
        friend LTMatrix operator/(const LTMatrix & , const double );
 
        friend std::ostream & operator<<(std::ostream & , const LTMatrix & );
 
        /* OVERLOAD METHODS MATRIX */
 
        /* STATIC METHODS */
        static double tr(const LTMatrix & );
        static double det(const LTMatrix & );
 
        /* OVERLOAD STATIC METHODS MATRIX */
        static LTMatrix zeros(uint16_t ); 
        static LTMatrix ones(uint16_t ); 
        static LTMatrix rand(uint16_t );
        static LTMatrix rand(uint16_t , uint16_t );
    
    private:
        /* ATTRIBUTES */
 
        /* METHODS */
        double & at(uint32_t ) const;
        double & at(uint16_t , uint16_t ) const;
        void show() const;
};
 
#endif