// vect.h -- Vector class with <<, mode state
#ifndef VECTOR_H_
#define VECTOR_H_
#include <iostream>
namespace VECTOR
{
    class Vector
    {
    public:
        enum Mode {RECT, POL};
    // RECT for rectangular, POL for Polar modes
    private:
        double x;          // horizontal value
        double y;          // vertical value
        double mag;        // length of vector
        double ang;        // direction of vector in degrees
        Mode mode;         // RECT or POL
    // private methods for setting values
        void set_mag();
        void set_ang();
        void set_x();
        void set_y();
    public:
       Vector();
        Vector(double n1, double n2, Mode form = RECT);
        void reset(double n1, double n2, Mode form = RECT);
        ~Vector();
        double xval() const {return x;}       // report x value
        double yval() const {return y;}       // report y value
        double magval() const {return mag;}   // report magnitude
        double angval() const {return ang;}   // report angle
        void polar_mode();                    // set mode to POL
        void rect_mode();                     // set mode to RECT
    // operator overloading
        Vector operator+(const Vector & b) const;
        Vector operator-(const Vector & b) const;
        Vector operator-() const;
        Vector operator*(double n) const;
    // friends
        friend Vector operator*(double n, const Vector & a);
        friend std::ostream & operator<<(std::ostream & os, const Vector & v);
    };

}   // end namespace VECTOR
#endif