/*-----------------------------------------------------------------------------------------
Program: Introduce a class Point which represents an ordered pair in 3D.
Modify the class to add the following features to the it:
TASK I: Define an overloaded operator * which calculates the cross product of two given vectors.

}
------------------------------------------------------------------------------------------*/
#include <iostream>
#include <cmath>
using namespace std;

template <int dim>
class Point {
private:
      double x0, x1, x2  ;
     // double *x; // *x=*(x+0)=x0 ; *(x+1)=x1 ; *(x+ 2 ) =x2 ; 
     double x[3];
public:
      Point(); // syntax of how to declare the point.
      void   print_x0() ;
      void   print_x1() ;  
      void   print_x2() ;
      double L2_norm()  ;
  
    };
// Here is the constructor for this class.
template <int dim>
 Point<dim>::Point() {

	cout << "Please enter the " << dim << " coordinates for the Point: " << endl;
	for (unsigned int  i = 0 ; i < dim ; ++i)
	{	  
	  cout << "Please input the "<< i << " th coordinate for the Point: " ;
	   cin  >> x[i] ;
		//++x;
	cout <<endl;
       }//for loop 
	} 
template<int dim>
void  Point<dim>::print_x0() {
		cout << " x-ccordinate of the point = "<< x0 << endl;
	} 
template<int dim>
void Point<dim>::print_x1() {
		cout << " y-ccordinate of the point = "<< x1 << endl;
	} 
template<int dim>
void Point<dim> ::print_x2() {
		cout << " z-ccordinate of the point = "<< x2 << endl;
	}  
template <int dim>
double Point<dim>::L2_norm() {
	double return_value = 0 ;

	for (unsigned int i = 0 ; i < dim ;++i)	
		return_value +=x[i]*x[i];
	return sqrt(return_value) ;
	}





int main() {
	 
	
	Point<2> X ; //TODO: decide how to initialize the class and the coordinates.
	
	cout << " The L2 norm for X is: "<< X.L2_norm() << endl;
	return 0;
      }