lab3.cpp

#include <bits/stdc++.h>
using namespace std ;
const double pi = acos(-1); // use pi instead of 3.14

class Polar{ // class declare here
private:
double x ; // real 
double y ; // imaginary
double r ;
double theta ;
public:
// only one constructor
Polar(double radius , double radian){
 r = radius ;  
 if(radian == pi/2)
{  x = 0;
  y = radius;
  theta = radian; }
  else if(radian == 0){ x= radius ; y=0;theta = radian;}
  else if(radian == (3*pi)/2){
     y= -1*radius ;
      x = 0 ; theta = (-1 * pi)/2;

  }
  else if(radian ==pi){ y=0 ; x=-1*radius ;theta = radian;}
  else if(radian==2*pi){ y=0; x = radius ;theta = radian; }
  else {
      x = radius*(cos(radian));theta = radian;
      y = radius*(sin(radian)); //cout<<"else called out"<<endl;
  }
}
// display funtion to display polar representation
void display(){
     cout<<"Polar representation (in Radian):"<<'\t'; cout<<r<<"( cos"<<"("<<theta<<")"<<"+ i*sin("<<theta<<") )"<<endl;
    cout<<"Polar representation (in Degree):"<<'\t'; cout<<r<<"( cos"<<"("<<(theta*180)/pi<<")"<<"+ i*sin("<<(theta*180)/pi<<") )"<<endl;
          cout<<"Coordinate Representation :"<<'\t'<<'\t';  cout<<x<<" + i* "<<y<<endl;
  cout<<endl;
}
// operator *
Polar operator*(Polar &obj1); // prototype declared here its not a friend function
friend Polar operator-(Polar &obj1 , Polar &obj2) ; // prototype of friend function to implement - overator for two polar number
~Polar(){/* destructor is declared here */ }
};
// outside class represention of operator overloading
Polar Polar::operator*(Polar &obj1){
double xx = x*obj1.x ;
double yy = y*obj1.y ;
double fx = -yy+xx ;
double ixx = x*obj1.y;
double iyy = y*obj1.x ;
double fy = ixx+iyy ;
double radius2 = (fx*fx + fy*fy) ;
double radius = pow(radius2 , 0.5) ;
double rad = atan(abs(fy/fx)) ;
// cout<<radius<<" "<<rad<<endl;
if(fy>=0 and fx>=0){rad = rad; }
else if(fy<=0 and fx<=0){rad =  rad - pi; }
else if(fy>=0 and fx<=0){rad = pi -  rad; }
else if(fy<=0 and fx>=0){rad = -1 * rad; }

Polar crazyxyz(radius , rad) ;
return crazyxyz ;

}
// friend function body
Polar operator -(Polar &obj1 , Polar &obj2){
   // cout<<obj1.x<<" "<<obj1.y<<endl;
   // cout<<obj2.x<<" "<<obj2.y<<endl;
    double xx = obj1.x + (-1*obj2.x) ;
    double yy = obj1.y + ( -1*obj2.y );
  // cout<<xx<<" "<<yy<<endl;
  
    double radius2 = (xx*xx + yy*yy) ;
double radius = pow(radius2 , 0.5) ;
double rad = atan(abs(yy/xx)) ;
// cout<<radius<<" "<<rad<<endl;
if(yy>=0 and xx>=0){rad = rad; }
else if(yy<=0 and xx<=0){rad = rad - pi; }
else if(yy>=0 and xx<=0){rad = pi -  rad; }
else if(yy<=0 and xx>=0){rad = -1 * rad; }
Polar xyz(radius , rad) ;
return xyz;
}
int main(){
    cout<<endl;
    cout<<fixed<<setprecision(2);
  Polar one(2,pi) ;
 one.display() ;
Polar two(5 , (3*pi)/2) ;
two.display();
// Polar three = two - one; //three.display() ;
Polar four = two*one;
four.display();
Polar five = one - two ;
Polar six = two - one ;
five.display();
six.display() ;

    return 0 ;
}