C++实现一个复数类

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要求包括：

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1.实现复数类的加减乘除
2.实现出类的构造、拷贝构造、析构、重载

---

#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;
}