#include "config.h"
#include <cmath>
#include <iostream>
#define PI 3.141592653

class Vector {
	float an;
	float ma;
public:
	// Constructors
	Vector() 					{ an=0; ma=0; 					}
	Vector(float a, float m) 	{ an=a; ma=m; 					}
	Vector(int a, float m) 	{ an=(float) a*(PI/180); ma=m; }
	
	// Read-only parameters
	float 	angle() 			{ return an; 					}
	int 	degrees() 			{ return (int) (an*(180/PI)); 	}
	float 	magnitude() 		{ return ma; 					}
	float 	x() 				{ return ma * cos(an);			}
	float 	y()					{ return ma * sin(an);			}
	float  roundto(float n)	{ ma = ((int)(ma*n))/n;			}

	// Vector arithmetic
	Vector& operator+=(Vector v2);
	Vector& operator-=(Vector v2);
	
	// Magnitude arithmetic
	Vector& operator+=(float m);
	Vector& operator-=(float m);
	Vector& operator*=(float m);
	Vector& operator/=(float m);

	// Utility methods
	Vector invertX();
	Vector invertY();
	Vector absX();
	Vector absY();
	Vector nabsX();
	Vector nabsY();
	Vector Xvector();
	Vector Yvector();
};

// Arithmetic shortcuts
Vector operator+(Vector a, Vector b); 
Vector operator-(Vector a);
Vector operator-(Vector a, Vector b);
Vector operator+(Vector a, float m);
Vector operator-(Vector a, float m);
Vector operator*(Vector a, float m);
Vector operator/(Vector a, float m);

// Debug Output
ostream& operator<<(ostream& s, Vector v);