实现复数类中的运算符重载（含有double类型）

/*
* 作    者： 霍雨佳
* 完成日期：2014 年4月15日
* 版 本 号：v1.0
* 问题描述：实现复数类中的运算符重载。
* 样例输入：
* 样例输出：
* 问题分析：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;
}
friend Complex operator+(Complex &c1,Complex &c2);
friend Complex operator-(Complex &c1,Complex &c2);
friend Complex operator*(Complex &c1,Complex &c2);
friend Complex operator/(Complex &c1,Complex &c2);
friend Complex operator+(Complex &c1,double c);
friend Complex operator-(Complex &c1,double c);
friend Complex operator*(Complex &c1,double c);
friend Complex operator/(Complex &c1,double c);
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);
void display();
private:
double real;
double imag;
};
Complex operator+(Complex &c1,Complex &c2)
{
return  Complex(c2.real+c1.real,c2.imag+c1.imag);
}
Complex operator-(Complex &c1,Complex &c2)
{
return  Complex(c2.real-c1.real,c2.imag-c1.imag);
}
Complex operator*(Complex &c1,Complex &c2)
{
return  Complex((c2.real*c1.real-c1.imag*c2.imag),(c1.real*c2.imag+c1.imag*c2.real));
}
Complex operator/(Complex &c1,Complex &c2)
{
Complex c;
c.real=((c2.real*c1.real+c1.imag*c2.imag)/((c2.real*c2.real)+(c2.imag*c2.imag)));
c.imag=((c1.real*c2.imag-c1.imag*c2.real)/((c2.real*c2.real)+(c2.imag*c2.imag)));
return c;
}
Complex operator+(Complex &c1,double c)
{
return  Complex(c+c1.real,c1.imag);
}
Complex operator-(Complex &c1,double c)
{
return  Complex(c-c1.real,-c1.imag);
}
Complex operator*(Complex &c1,double c)
{
return  Complex((c*c1.real),(c1.imag*c));
}
Complex operator/(Complex &c1,double c)
{
Complex c7;
c7.real=((c*c1.real)/(c*c));
c7.imag=-((c1.imag*c)/(c*c));
return c7;
}
Complex operator+(double c,Complex &c1)
{
return  Complex(c+c1.real,c1.imag);
}
Complex operator-(double c,Complex &c1)
{
return  Complex(c1.real-c,c1.imag);
}
Complex operator*(double c,Complex &c1)
{
return  Complex((c*c1.real),(c1.imag*c));
}
Complex operator/(double c,Complex &c2)
{
Complex c7;
c7.real=((c2.real*c)/((c2.real*c2.real)+(c2.imag*c2.imag)));
c7.imag=((c*c2.imag)/((c2.real*c2.real)+(c2.imag*c2.imag)));
return c7;
}
void Complex::display()
{
cout<<"("<<real<<","<<imag<<"i)"<<endl;
}
//下面定义用于测试的main()函数
int main()
{
double c=5;
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();
cout<<endl;
cout<<"double类型·复数："<<endl;
cout<<"c="<<c<<endl;
cout<<"c1=";
c1.display();
c3=c1+c;
cout<<"c1+c=";
c3.display();
c3=c1-c;
cout<<"c-c1=";
c3.display();
c3=c1*c;
cout<<"c1*c=";
c3.display();
c3=c1/c;
cout<<"c1/c=";
c3.display();
cout<<endl;
cout<<"复数·double类型："<<endl;
cout<<"c="<<c<<endl;
cout<<"c2=";
c2.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();
c3=c2/c;
cout<<"c/c2=";
c3.display();
return 0;
}


运行结果：

  因为不适用交换律，所以敲了好多代码，但自己有只是在重复代码的赶脚……

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