实现复数类中的运算符重载

#include <iostream>

using namespace std;

class Complex

{

public:

Complex(){real=0;imag=0;}

Complex(double r,double i){real=r; imag=i;}

Complex operator+(const Complex &c2);

Complex operator-(const Complex &c2);

Complex operator*(const Complex &c2);

Complex operator/(const Complex &c2);

void display();

private:

double real;

double imag;

};

//下面定义成员函数

//复数相加： (a+bi)+(c+di)=(a+c)+(b+d)i.

Complex Complex::operator+(const Complex &c2)

{

Complex c;

c.real=real+c2.real;

c.imag=imag+c2.imag;

return c;

}

//复数相减：(a+bi)-(c+di)=(a-c)+(b-d)i.

Complex Complex::operator-(const Complex &c2)

{

Complex c;

c.real=real-c2.real;

c.imag=imag-c2.imag;

return c;

}

//复数相乘：(a+bi)(c+di)=(ac－bd)+(bc+ad)i.

Complex Complex::operator*(const Complex &c2)

{

Complex c;

c.real=real*c2.real-imag*c2.imag;

c.imag=imag*c2.real+real*c2.imag;

return c;

}

//复数相除：(a+bi)/(c+di)=(ac+bd)/(c^2+d^2) +(bc-ad)/(c^2+d^2)i

Complex Complex::operator/(const Complex &c2)

{

Complex c;

c.real=(real*c2.real+imag*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag);

c.imag=(imag*c2.real-real*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag);

return c;

}

void Complex::display()

{

cout<<"("<<real<<","<<imag<<"i)"<<endl;

}

//下面定义用于测试的main()函数

int main()

{

Complex c1(3,4),c2(5,-10),c3;

cout<<"c1=";

c1.display();

cout<<"c2=";

c2.display();

c3=c1+c2;

cout<<"c1+c2=";

c3.display();

c3=c1-c2;

cout<<"c1-c2=";

c3.display();

c3=c1*c2;

cout<<"c1*c2=";

c3.display();

c3=c1/c2;

cout<<"c1/c2=";

c3.display();

return 0;

}