athos@207: // -*- c++ -*-
athos@201: /**
athos@201: 2 dimensional vector (plainvector) implementation
athos@201: 
athos@201: */
athos@201: #ifndef HUGO_XY_H
athos@201: #define HUGO_XY_H
athos@201: 
athos@201: #include <iostream>
athos@201: 
athos@207: namespace hugo {
athos@201: 
athos@207:   template<typename T>
athos@207:     class xy {
athos@207:     T _x,_y;
athos@201: 
athos@207:     public:
athos@207:       
athos@207:       ///Default constructor: both coordinates become 0
athos@207:       xy() { _x=_y=0; }
athos@201: 
athos@207:       ///Constructing from coordinates
athos@207:       xy(T a, T b) { _x=a; _y=b; }
athos@201: 
athos@207:       ///Gives back the x coordinate
athos@207:       T x(){
athos@207: 	return _x;
athos@207:       };
athos@201: 
athos@207:       ///Gives back the y coordinate
athos@207:       T y(){
athos@207: 	return _y;
athos@207:       };
athos@201: 
athos@207:       ///Gives back the square of the norm of the vector
athos@207:       T normSquare(){
athos@207: 	return _x*_x+_y*_y;
athos@207:       };
athos@201:   
athos@207:       ///Increments the left hand side by u
athos@207:       xy<T>& operator +=(const xy<T>& u){
athos@207: 	_x += u._x;
athos@207: 	_y += u._y;
athos@207: 	return *this;
athos@207:       };
athos@201:   
athos@207:       ///Decrements the left hand side by u
athos@207:       xy<T>& operator -=(const xy<T>& u){
athos@207: 	_x -= u._x;
athos@207: 	_y -= u._y;
athos@207: 	return *this;
athos@207:       };
athos@201: 
athos@207:       ///Multiplying the left hand side with a scalar
athos@207:       xy<T>& operator *=(const T &u){
athos@207: 	_x *= u;
athos@207: 	_y *= u;
athos@207: 	return *this;
athos@207:       };
athos@207: 
athos@207:       ///Dividing the left hand side by a scalar
athos@207:       xy<T>& operator /=(const T &u){
athos@207: 	_x /= u;
athos@207: 	_y /= u;
athos@207: 	return *this;
athos@207:       };
athos@201:   
athos@207:       ///Returns the scalar product of two vectors
athos@207:       T operator *(const xy<T>& u){
athos@207: 	return _x*u._x+_y*u._y;
athos@207:       };
athos@201:   
athos@207:       ///Returns the sum of two vectors
athos@207:       xy<T> operator+(const xy<T> &u) const {
athos@207: 	xy<T> b=*this;
athos@207: 	return b+=u;
athos@207:       };
athos@201: 
athos@207:       ///Returns the difference of two vectors
athos@207:       xy<T> operator-(const xy<T> &u) const {
athos@207: 	xy<T> b=*this;
athos@207: 	return b-=u;
athos@207:       };
athos@201: 
athos@207:       ///Returns a vector multiplied by a scalar
athos@207:       xy<T> operator*(const T &u) const {
athos@207: 	xy<T> b=*this;
athos@207: 	return b*=u;
athos@207:       };
athos@201: 
athos@207:       ///Returns a vector divided by a scalar
athos@207:       xy<T> operator/(const T &u) const {
athos@207: 	xy<T> b=*this;
athos@207: 	return b/=u;
athos@207:       };
athos@201: 
athos@207:       ///Testing equality
athos@207:       bool operator==(const xy<T> &u){
athos@207: 	return (_x==u._x) && (_y==u._y);
athos@207:       };
athos@201: 
athos@207:       ///Testing inequality
athos@207:       bool operator!=(xy u){
athos@207: 	return  (_x!=u._x) || (_y!=u._y);
athos@207:       };
athos@201: 
athos@207:     };
athos@201: 
athos@207:   ///Reading a plainvector from a stream
athos@207:   template<typename T>
athos@207:   inline
athos@207:   std::istream& operator>>(std::istream &is, xy<T> &z)
athos@207:   {
athos@207:     ///This is not the best solution here: I didn't know how to solve this with friend functions
athos@207:     T a,b;
athos@207:     is >> a >> b;
athos@207:     xy<T> buf(a,b);
athos@207:     z=buf;
athos@207:     return is;
athos@207:   }
athos@201: 
athos@207:   ///Outputting a plainvector to a stream
athos@207:   template<typename T>
athos@207:   inline
athos@207:   std::ostream& operator<<(std::ostream &os, xy<T> z)
athos@207:   {
athos@207:     os << "(" << z.x() << ", " << z.y() << ")";
athos@207:     return os;
athos@207:   }
athos@207: 
athos@207: } //namespace hugo
athos@201: 
athos@201: #endif //HUGO_XY_H