C++实现一个复数类

#include<iostream>
using namespace std;

class Complex
{
private:
double _real;//实部
double _imag;//虚部
public:
Complex(double, double);//构造函数
Complex(Complex& c);//拷贝构造函数
~Complex();//析构函数
void show();
//复数和复数的计算
Complex operator+(Complex& c);
Complex operator-(Complex& c);
Complex operator*(Complex& c);
Complex operator/(Complex& c);
//复数和实数的计算
Complex operator+(int& c);
Complex operator-(int& c);
Complex operator*(int& c);
Complex operator/(int& c);
};

Complex::Complex(double real = 0, double imag = 0)//构造函数
{
_real = real;
_imag = imag;
}

Complex::Complex(Complex& c)//拷贝构造函数
{
_real = c._real;
_imag = c._imag;
}

Complex::~Complex()//析构函数
{
_real = 0.0;
_imag = 0.0;
}

void Complex::show()
{
cout << _real << " + " << _imag << " * i"<<endl;
}

Complex Complex::operator+(Complex& c)
{
Complex sum;
sum._real = this->_real + c._real;
sum._imag = this->_imag + c._imag;
return sum;
}

Complex Complex::operator-(Complex& c)
{
Complex sub;
sub._real = _real - c._real;
sub._imag = _imag - c._imag;
return sub;
}

Complex Complex::operator*(Complex& c)
{
//(a+bi)(c+di)=(ac-bd)+(bc+ad)i.
Complex mul;
mul._real = _real * (c._real) - _imag * (c._imag);
mul._imag = _imag * (c._real) + _real * (c._imag);
return mul;
}

Complex Complex::operator/(Complex& c)
{
//(a+bi)/(c+di)=(ac+bd)/(c^2+d^2) +((bc-ad)/(c^2+d^2))i
Complex div;
div._real = (_real*c._real + _imag * c._imag) / (c._real*c._real + c._imag*c._imag);
div._imag = (_imag*c._real - _real * c._imag) / (c._real*c._real + c._imag*c._imag);
return div;
}

Complex Complex::operator+(int& c)
{
Complex sum;
sum._real = _real + c;
sum._imag = _imag;
return sum;
}

Complex Complex::operator-(int& c)
{
Complex sub;
sub._real = _real - c;
sub._imag = _imag;
return sub;
}

Complex Complex::operator*(int& c)
{
Complex mul;
mul._real = _real * c;
mul._imag = _imag;
return mul;
}

Complex Complex::operator/(int& c)
{
Complex div;
div._real = _real / c;
div._imag = _imag;
return div;
}

int main()
{
Complex c1;
Complex c2(2, 3);
Complex c3(7, 8);
Complex c4(3, 4);
Complex out;
cout << "      复数1:  ";
c1.show();
cout << "      复数2:  ";
c2.show();
cout << "      复数3:  ";
c3.show();
cout << "      复数4:  ";
c4.show();
cout << "复数1,2相加:  ";
out = c1 + c2;
out.show();
cout << "复数3,4相减： ";
out = c3 - c4;
out.show();
cout << "复数2,3相乘： ";
out = c2 * c3;
out.show();
cout << "复数2,4相除： ";
out = c2 / c4;
out.show();
system("pause");
return 0;
}