第八周项目一实现复数类中运算符重载

/*
* Copyright (c) 2013, 烟台大学计算机学院
* All rights reserved.
* 作    者：纪丽娜
* 完成日期：2014 年 4 月15 日
* 版 本 号：v1.0
* 问题描述：一个定义完整的类，是可以当作独立的产品发布，成为众多项目中的“基础工程”，
这样的类在方案二的基础上，扩展+、-、*、/运算符的功能，使之能与double型数据进行运算。
设Complex c; double d; c+d和d+c的结果为“将d视为实部为d的复数同c相加”，其他-、*、/运算符类似。
*/
#include <iostream>
using namespace std;
class Complex
{
public:
Complex()
{
real=0;
imag=0;
}
Complex(double r,double i)
{
real=r;
imag=i;
}
Complex operator+(Complex &c2);
Complex operator-(Complex &c2);
Complex operator*(Complex &c2);
Complex operator/(Complex &c2);
//c+c1
friend Complex operator+(double c,Complex &c1);
friend Complex operator-(double c,Complex &c1);
friend Complex operator*(double c,Complex &c1);
friend Complex operator/(double c,Complex &c1);
//c1+c
friend Complex operator+(Complex &c2,double c);
friend Complex operator-(Complex &c2,double c);
friend Complex operator*(Complex &c2,double c);
friend Complex operator/(Complex &c2,double c);
void display();
private:
double real;
double imag;
};
//下面定义成员函数
Complex Complex::operator+(Complex &c2)
{
Complex c;
c.real=real+c2.real;
c.imag=imag+c2.imag;
return c;
}
Complex Complex::operator-(Complex &c2)
{
Complex c;
c.real=real-c2.real;
c.imag=imag-c2.imag;
return c;
}
Complex Complex::operator*(Complex &c2)
{
Complex c;
c.real=(real*c2.real-imag*c2.imag);
c.imag=(real*c2.imag+imag*c2.real);
return c;
}
Complex Complex::operator/(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;
}

//c+c1
Complex operator+(double c,Complex &c1)
{
return  Complex(c+c1.real,c1.imag);
}
Complex operator-(double c,Complex &c1)
{
return  Complex(c-c1.real,c1.imag);
}
Complex operator*(double c,Complex &c1)
{
return  Complex(c*c1.real,c*c1.imag);
}
Complex operator/(double c,Complex &c1)
{
Complex c2;
c2.real=(c*c1.real)/(c1.real*c1.real+c1.imag*c1.imag);
c2.imag=-1*((c*c1.imag)/(c1.real*c1.real+c1.imag*c1.imag));
return c2;
}
//c1+c
Complex operator+(Complex &c2,double c)
{
return  Complex(c2.real+c,c2.imag);
}
Complex operator-(Complex &c2,double c)
{
return  Complex(c2.real-c,c2.imag);
}
Complex operator*(Complex &c2,double c)
{
return  Complex(c*c2.real,c*c2.imag);
}
Complex operator/(Complex &c2,double c)
{
return  Complex(c2.real/c,c2.imag/c);
}
//输出
void Complex::display()
{
if(real==0)
{cout<<imag<<"i"<<endl;
}else
{
if(imag<0)
{cout<<real<<imag<<"i"<<endl;
}else if(imag==0)
{cout<<real<<endl;
}else
{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;
double c;
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();
cout<<"请输入一个double类型的数据与c1进行运算："<<endl;
cin>>c;
c3=c+c1;
cout<<"c+c1=";
c3.display();
c3=c-c1;
cout<<"c-c1=";
c3.display();
c3=c*c1;
cout<<"c*c1=";
c3.display();
c3=c/c1;
cout<<"c/c1=";
c3.display();
cout<<"请输入一个double类型的数据与c2进行运算："<<endl;
cin>>c;
c3=c2+c;
cout<<"c2+c=";
c3.display();
c3=c2-c;
cout<<"c2-c=";
c3.display();
c3=c2*c;
cout<<"c2*c=";
c3.display();
c3=c2/c;
cout<<"c2/c=";
c3.display();
return 0;
}