用类的成员函数，定义复数类重载运算符+、-、*、/，使之能用于复数的加减乘除

/*
*Copyright (c) 2016,烟台大学计算机学院
*All rights reserved.
*文件名称：main.cpp
*作    者：郭辉
*完成时间：2016年5月19日
*版 本 号：v1.0
*
*问题描述：用类的成员函数，定义复数类重载运算符+、-、*、/，使之能用于复数的加减乘除
*输入描述：无。
*程序输出：复数的加减乘除。
*/
#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;
}