Реализовать класс Complex для работы с комплексными числами

#include <iostream> 
 
class complex 
{ 
private: 
    double re, im; 
public:  
    complex() { re = 0; im = 0; }
    complex(double r, double i) { re = r; im = i; }  
    complex(const complex &ob){ re = ob.re; im = ob.im; }; 
    complex& operator = (complex); 
    complex operator + (complex);
    complex operator - (complex);
    complex operator * (complex&);
    complex operator / (complex&);
    complex& operator += (complex); 
    complex& operator -= (complex); 
    complex& operator *= (complex); 
    complex& operator /=( complex);  
    friend std::istream& operator >>(std::istream&, complex&); 
    friend std::ostream& operator << (std::ostream&, const complex&); 
    bool operator == (complex& com);  
    bool operator != (complex& com); 
    bool operator > (complex& com); 
    bool operator < (complex& com);
    
};   
 
bool complex:: operator > (complex& com) 
{  
    if(this->re > com.re) 
        return 1; 
    else if(this->re == com.re && this->im > com.im) 
        return 1; 
    else 
        return 0;
}
 
bool complex ::operator < (complex& com) 
{ 
    if(this->re < com.re) 
        return 1; 
    else if(this->re == com.re && this->im < com.im) 
        return 1; 
    else 
        return 0;
 
}
 
bool complex::operator != (complex& com) 
{  
    if(this->re != com.re || this->im != com.im) 
       return 1; 
    else  
        return 0;
}
 
bool complex::operator==(complex& com) 
{  
    if(this->re == com.re && this->im == com.im) 
        return 1; 
    else 
        return 0;
}
 
 
 
complex complex::operator*(complex &com) 
{  
    double i, j;  
    i = re * com.re - im * com.im; 
    j = re * com.im + com.re * im; 
    re = i; 
    im = j; 
    return *this; 
} 
 
complex complex::operator/(complex &com) 
{  
    double i, j, k; 
    k = re * re +com.im * com.im; 
    i = (re * com.re + im * com.im) / k; 
    j = (com.re * im - re * com.im) / k; 
    re = i; 
    im = j; 
    return *this;
}
 
complex& complex::operator =(complex com) 
{  
    this->re = com.re; 
    this->im = com.im; 
    return *this;
}  
 
complex complex::operator+(complex com) 
{ 
    this->re = this->re + com.re; 
    this->im = this->im + com.im; 
    return *this;
} 
 
complex complex::operator-(complex com) 
{ 
    this->re = this->re - com.re; 
    this->im = this->im - com.im; 
    return *this;
}
 
 
std::ostream& operator << (std::ostream& out, const complex& com) 
{  
    if(com.im < 0) 
        out << com.re << "+i(" << com.im << ")\n"; 
    else 
        out << com.re << "+i" << com.im << "\n"; 
    return out;
} 
 
std::istream& operator >> (std::istream& in, complex& com) 
{   
    std::cout << "Введите действительную часть комплексного числа ";
    in >> com.re; 
    std::cout << "Введите мнимую часть комплексного числа "; 
    in >> com.im;
    return in; 
}
 
complex& complex::operator+=(complex a) 
{ 
    re += a.re; 
    im += a.im; 
    return *this;
}
 
complex& complex::operator-=(complex a) 
{ 
    re -= a.re; 
    im -= a.im; 
    return *this;
} 
 
complex& complex::operator*=(complex a) 
{ 
    re *= a.re; 
    im *= a.im; 
    return *this;
} 
 
complex& complex::operator/=(complex a) 
{ 
    re /= a.re; 
    im /= a.im; 
    return *this;
} 
 
int main() 
{   
    setlocale(0, "rus");
    complex com; 
    std::cin >> com; 
    std::cout << com << std::endl;
}