#include <iostream>
using namespace std;
class SoPhuc
{
public:
	SoPhuc(double Thuc = 0, double Ao = 0)
	{
		this->Ao = Ao;
		this->Thuc = Thuc;
	}
	friend istream& operator >> (istream& in, SoPhuc &p);
	friend ostream& operator << (ostream& out, SoPhuc p);
	friend bool operator > (SoPhuc a, SoPhuc b);
	friend bool operator < (SoPhuc a, SoPhuc b);
	friend bool operator == (SoPhuc a, SoPhuc b);
	friend bool operator <= (SoPhuc a, SoPhuc b);
	friend bool operator >= (SoPhuc a, SoPhuc b);
	friend SoPhuc operator +(SoPhuc a, SoPhuc b);
	friend SoPhuc operator -(SoPhuc a, SoPhuc b);
	friend SoPhuc operator *(SoPhuc a, SoPhuc b);
	friend SoPhuc operator /(SoPhuc a, SoPhuc b);
	friend void operator += (SoPhuc &a, SoPhuc b);
	friend void operator -= (SoPhuc &a, SoPhuc b);
	friend void operator *= (SoPhuc &a, SoPhuc b);
	friend void operator /= (SoPhuc &a, SoPhuc b);
private:
	double Thuc, Ao;
};

//Toán tử nhập
istream& operator >> (istream& in, SoPhuc &PS)
{
	cout << "Nhap phuc thuc: ";
	in >> PS.Thuc;
	cout << "Nhap phan ao  : ";
	in >> PS.Ao;
	return in;
}
//Toán tử xuất
ostream& operator << (ostream& out, SoPhuc PS)
{
	out << "z = ";
	if (PS.Ao != 0)
	{
		if(PS.Ao > 0 ) out << PS.Thuc << " + " << PS.Ao << "i";
		else  out << PS.Thuc << " - " << -1 * PS.Ao << "i";
	}
	else out << "0";
	return out;
}
//So sánh ==,

bool operator == (SoPhuc a, SoPhuc b)
{
	return (a.Thuc == b.Thuc && a.Ao == b.Ao);
}

//Toán tử +, -, *, /
SoPhuc operator + (SoPhuc a, SoPhuc b)
{
	SoPhuc Kq;
	Kq.Ao = a.Ao + b.Ao;
	Kq.Thuc = a.Thuc + b.Thuc;
	return Kq;
}
SoPhuc operator - (SoPhuc a, SoPhuc b)
{
	SoPhuc Kq;
	Kq.Ao = a.Ao - b.Ao;
	Kq.Thuc = a.Thuc - b.Thuc;
	return Kq;
}
SoPhuc operator * (SoPhuc a, SoPhuc b)
{
	SoPhuc Kq;
	Kq.Thuc = a.Thuc * b.Thuc - a.Ao * b.Ao;
	Kq.Ao = a.Thuc * b.Ao + a.Ao * b.Thuc;
	return Kq;
}
SoPhuc operator / (SoPhuc a, SoPhuc b)
{
	SoPhuc Kq;
	Kq.Ao = (-a.Thuc * b.Ao + a.Ao * b.Thuc) / (b.Thuc * b.Thuc + b.Ao * b.Ao);
	Kq.Thuc = (a.Thuc * b.Thuc + a.Ao * b.Ao) / (b.Thuc * b.Thuc + b.Ao * b.Ao);
	return Kq;
}
//Toán tử +=, -=; *=, /=
void operator += (SoPhuc &a, SoPhuc b)
{
	a = a + b;
}
void operator -= (SoPhuc &a, SoPhuc b)
{
	a = a - b;
}
void operator *= (SoPhuc &a, SoPhuc b)
{
	a = a * b;
}
void operator /= (SoPhuc &a, SoPhuc b)
{
	a = a / b;
}

void main()
{
	SoPhuc P(5, -1), a(3, 2);
	float b = 1.1;
	cout << a + P << endl;
	cout << a - P << endl;
	cout << a * P << endl;
	cout << a / P << endl;
}