#include<iostream>
#include<cmath>
using namespace std;
class Complex
{
      public:
      Complex(float a=0,float b=0):real(a),imag(b){}
      Complex operator+(Complex &a);
      Complex operator-(Complex &a);
      Complex operator*(Complex &a);
      Complex operator/(Complex &a);
      void display();
      private:
              float real;
              float imag;
};

void Complex::display()
{    if(imag>0)  cout<<real<<"+"<<imag<<"i"<<endl;
     else if(imag<0)  cout<<real<<"-"<<imag<<"i"<<endl;
     else cout<<real<<endl;
}

Complex Complex::operator+(Complex &a)
{
        return(Complex(a.real+real,a.imag+imag));
}

Complex Complex::operator-(Complex &a)
{
        return(Complex(real-a.real,imag-a.imag));
}

Complex Complex::operator*(Complex &a)
{
        Complex b;
        float x,r;
        x=sqrt(real*real+imag*imag)*sqrt(a.real*a.real+a.imag*a.imag);
        r=atan(imag/real)+atan(a.imag/a.real); 
        b.real=x*cos(r);
        b.imag=x*sin(r);
        
        return b;
}

Complex Complex::operator/(Complex &a)
{
        Complex b;
        float x,r;
        x=sqrt(real*real+imag*imag)/sqrt(a.real*a.real+a.imag*a.imag);
        r=atan(imag/real)-atan(a.imag/a.real); 
        b.real=x*cos(r);
        b.imag=x*sin(r);
        
        return b;
}
int main()
{
    Complex c1(3,4),c2(6,8),c3;
    
    c1.display();
    c2.display();
    c3=c1+c2;
    cout<<"c3=c1+c2"<<endl;
    c3.display();
    
    c3=c1-c2;
    cout<<"c3=c1-c2"<<endl;
    c3.display();
    
    c3=c1*c2;
    cout<<"c3=c1*c2"<<endl;
    c3.display();
    
    c3=c1/c2;
    cout<<"c3=c1/c2"<<endl;
    c3.display();
    
    system("pause");
    return 0;
    }