/*-----------------------------------------------------------------------------------------
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;
class Point {
private:
      double x0, x1, x2  ;
public:
      Point(double a, double b, double c); // syntax of how to declare the point.
      void   print_x0() ;
      void   print_x1() ;  
      void   print_x2() ;
      Point operator + (const Point& );
      Point operator * (const Point& );
    };
// Here is the constructor for this class.
 Point::Point(double a, double b, double c) {
		x0= a;
                x1= b;
                x2= c;
	} 
void  Point::print_x0() {
		cout << " x-ccordinate of the point = "<< x0 << endl;
	} 
void Point ::print_x1() {
		cout << " y-ccordinate of the point = "<< x1 << endl;
	} 
void Point ::print_x2() {
		cout << " z-ccordinate of the point = "<< x2 << endl;
	}  


Point Point::operator + (const Point& input)
	{
	Point temp(x0,x1, x2); // x0 and x1 are local to the scope of 
	temp.x0 = temp.x0 + input.x0 ;  // X+Y of type point ; X*Y
	temp.x1 = temp.x1 + input.x1 ;
        temp.x2 = temp.x2 + input.x2 ;
	return temp ;
	}

Point Point::operator * (const Point& input )
	{
	Point temp (x0,x1, x2);
 	temp.x0 = temp.x0 * input.x0 ;
	temp.x1 = temp.x1 * input.x1 ;
	temp.x2 = temp.x2*input.x2;
	return temp ;
	}	





int main() {
	
	Point X(1,2,3);	
	X.print_x0();
	X.print_x1();
        X.print_x2();
	Point Y(-2,3,0) ;

	Y= X*Y ;  
	/* (3,4).*(4,-3) =(12, -12)
         Point X's member function '+' that is being used to compute 
         X + input_class i.e. Y.
       */
	Y.print_x0();
	Y.print_x1();
	Y.print_x2();
	return 0;
      }