Реализовать класс "Шахматы(без игры)"

class Complex
{
protected:
    double re, im;
public:
    Complex(); // конструктор по умолчанию
    Complex(Complex & original); // конструктор копирования
    Complex(double re, double im);
    Complex(double re);
    ~Complex();
 
    void set_re(double re);
    void set_im(double im);
    double get_re();
    double get_im();
 
    void write();
 
    Complex operator + (Complex &b);
    friend ostream & operator <<(ostream &cout, Complex &a);
    friend istream & operator >>(istream &cin, Complex &a);
 
    Complex & operator =(const Complex &b);
};
 
Complex::Complex()
{
    re = 0.0;
    im = 0.0;
}
 
Complex::Complex(double re, double im)
{
    this->re = re;
    this->im = im;
}
 
Complex::Complex(double re)
{
    this->re = re;
    this->im = 0.0;
}
 
Complex::Complex(Complex & original)
{
    this->re = original.re;
    this->im = original.im;
}
 
Complex::~Complex()
{
 
}
 
void Complex::set_re(double re)
{
    this->re = re;
}
void Complex::set_im(double im)
{
    this->im = im;
}
double Complex::get_re()
{
    return this->re;
}
double Complex::get_im()
{
    return this->im;
}
 
void Complex::write()
{
    cout << re << "+" << im << "i" << endl;
    return;
}
 
Complex Complex::operator + (Complex &b)
{
    Complex sum(re + b.re, im + b.im);
    return sum;
}
 
ostream & operator <<(ostream &cout, Complex &a)
{
    cout << a.re;
    if(a.im >= 0.0)
        cout << " + ";
    cout << a.im << "i";
    return cout;
}
 
istream & operator >>(istream &cin, Complex &a)
{
    cin >> a.re >> a.im;
    return cin;
}
 
Complex & Complex::operator =(const Complex &b)  // this = b;
{
    this->re = b.re;
    this->im = b.im;
    return *this;
}