第十二周项目1.1实现复数类中的运算符重载（成员函数）

/*
*Copyright(c) 2016.烟台大学计算机与控制工程学院
*ALL rights  reserved.
*文件名称：test.cpp
*作者：杨驰
*完成日期：2016年5月14日
*问题描述:请用类的成员函数，定义复数类重载运算符+、-、*、/，使之能用于复数的加减乘
*/
#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*c+d*d) +(bc-ad)/(c*c+d*d)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;
}