#include<iostream>
using namespace std;

class Cmpx
{
public:

	double real;
	double img;
	Cmpx();
	Cmpx(double r, double i);
	Cmpx add(Cmpx x);
	Cmpx add(double x);
	Cmpx mult(Cmpx x);
	Cmpx mult(double x);
	Cmpx conjugate();
	Cmpx div(Cmpx x);
	Cmpx div(double x);
};

Cmpx::Cmpx()
{
	real=0;
	img=0;
}
Cmpx::Cmpx(double r, double i)
{
	real=r;
	img=i;
}

Cmpx Cmpx::add(Cmpx x)
{
	Cmpx tmp;
	tmp.real=x.real+real;
	tmp.img=x.img+img;
	return(tmp);
}
Cmpx Cmpx::add(double x)
{
	Cmpx tmp;
	tmp.real=real+x;
	tmp.img=img;
	return(tmp);
}

// FOIL  
Cmpx Cmpx::mult(Cmpx x)
{
	Cmpx tmp;
	tmp.real=x.real*real-img*x.img;
	tmp.img=x.real*img+x.img*real;
	return(tmp);
}
Cmpx Cmpx::mult(double x)
{
	Cmpx tmp;
	tmp.real=real*x;
	tmp.img=img*x;
	return(tmp);
}
Cmpx Cmpx::conjugate()
{
	Cmpx tmp;
	tmp.img=-img;
	tmp.real=real;
	return(tmp);
}
Cmpx Cmpx::div(double x)
{
	Cmpx tmp;
	tmp.real=real/x;
	tmp.img=img/x;
	return(tmp);
}

Cmpx Cmpx::div(Cmpx x)
{
	Cmpx top, bottom, conj;
	conj=x.conjugate();
	top=mult(conj);
	bottom=x.mult(conj);
	return(top.div(bottom.real));  // div by double!
	                               // bottom.img should be zero!
}
main()
{
	Cmpx a(2,4), b, c;
	double bob;
	b.real=1;
	b.img=2;

	c=b.add(a);
	cout << "("<< c.real << " + "<< c.img <<"i)\n";
	c=b.mult(a);
	cout << "("<< c.real << " + "<< c.img <<"i)\n";
	c=b.div(a);
	cout << "("<< c.real << " + "<< c.img <<"i)\n";
}