第八周实验报告（1）

/* (程序头部注释开始)
* 程序的版权和版本声明部分
* Copyright (c) 2011, 烟台大学计算机学院学生
* All rights reserved.
* 文件名称：定义一个复数类重载运算符+、-、*、/，使之能用于复数的加减乘除。

* 作    者：王 琦                         
* 完成日期：2012年04月11  日
* 版 本 号：
* 输入描述：实现复数类中的运算符重载 方案3

* 问题描述：定义一个复数类重载运算符+、-、*、/，使之能用于复数的加减乘除
* 程序输出：

#include <iostream>   
using namespace std;  
class Complex  
{  
public:  
    Complex(){real=0;imag=0;}  
    Complex(double r,double i){real=r;imag=i;}  
    Complex operator-();  
    friend Complex operator+(Complex &c1, Complex &c2);  
    friend Complex operator+(double d1, Complex &c2);  
    friend Complex operator+(Complex &c1, double d2);  
    friend Complex operator-(Complex &c1, Complex &c2);  
    friend Complex operator-(double d1, Complex &c2);  
    friend Complex operator-(Complex &c1, double d2);  
    friend Complex operator*(Complex &c1, Complex &c2);  
    friend Complex operator*(double d1, Complex &c2);  
    friend Complex operator*(Complex &c1, double d2);  
    friend Complex operator/(Complex &c1, Complex &c2);  
    friend Complex operator/(double d1, Complex &c2);  
    friend Complex operator/(Complex &c1, double d2);  
    void display();  
private:  
    double real;  
    double imag;  
};  
  
Complex Complex::operator-()  
{  
    return(0-*this);  
}  
  
//复数相加：(a+bi)+(c+di)=(a+c)+(b+d)i.    
Complex operator+(Complex &c1, Complex &c2)  
{  
    Complex c;  
    c.real=c1.real+c2.real;  
    c.imag=c1.imag+c2.imag;  
    return c;  
}  
Complex operator+(double d1, Complex &c2)  
{  
    Complex c(d1,0);  
    return c+c2; //按运算法则计算的确可以，但充分利用已经定义好的代码，既省人力，也避免引入新的错误，但可能机器的效率会不佳   
}  
Complex operator+(Complex &c1, double d2)  
{  
    Complex c(d2,0);  
    return c1+c;  
}  
//复数相减：(a+bi)-(c+di)=(a-c)+(b-d)i.   
Complex operator-(Complex &c1, Complex &c2)  
{  
    Complex c;  
    c.real=c1.real-c2.real;  
    c.imag=c1.imag-c2.imag;  
    return c;  
}  
Complex operator-(double d1, Complex &c2)  
{  
    Complex c(d1,0);  
    return c-c2;    
}  
Complex operator-(Complex &c1, double d2)  
{  
    Complex c(d2,0);  
    return c1-c;  
}  
  
//复数相乘：(a+bi)(c+di)=(ac－bd)+(bc+ad)i.   
Complex operator*(Complex &c1, Complex &c2)  
{  
    Complex c;  
    c.real=c1.real*c2.real-c1.imag*c2.imag;  
    c.imag=c1.imag*c2.real+c1.real*c2.imag;  
    return c;  
}  
Complex operator*(double d1, Complex &c2)  
{  
    Complex c(d1,0);  
    return c*c2;  
}  
Complex operator*(Complex &c1, double d2)  
{  
    Complex c(d2,0);  
    return c1*c;  
}  
  
//复数相除：(a+bi)/(c+di)=(ac+bd)/(c^2+d^2) +(bc-ad)/(c^2+d^2)i    
Complex operator/(Complex &c1, Complex &c2)  
{  
    Complex c;  
    c.real=(c1.real*c2.real+c1.imag*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag);  
    c.imag=(c1.imag*c2.real-c1.real*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag);  
    return c;  
}  
Complex operator/(double d1, Complex &c2)  
{  
    Complex c(d1,0);  
    return c/c2;  
}  
Complex operator/(Complex &c1, double d2)  
{  
    Complex c(d2,0);  
    return c1/c;  
}  
  
void Complex::display()  
{  
    cout<<"("<<real<<","<<imag<<"i)"<<endl;  
}  
  
int main()  
{  
    Complex c1(3,4),c2(5,-10),c3;  
    double d=11;  
    cout<<"c1="; c1.display();  
    cout<<"c2="; c2.display();  
    cout<<"d="<<d<<endl;  
    cout<<"-c1=";(-c1).display();  
    c3=c1+c2;  
    cout<<"c1+c2="; c3.display();  
    cout<<"c1+d=";    (c1+d).display();  
    cout<<"d+c1=";    (d+c1).display();  
    c3=c1-c2;  
    cout<<"c1-c2="; c3.display();  
    cout<<"c1-d=";    (c1-d).display();  
    cout<<"d-c1=";    (d-c1).display();  
    c3=c1*c2;  
    cout<<"c1*c2="; c3.display();  
    cout<<"c1*d=";    (c1*d).display();  
    cout<<"d*c1=";    (d*c1).display();  
    c3=c1/c2;  
    cout<<"c1/c2=";   c3.display();  
    cout<<"c1/d=";    (c1/d).display();  
    cout<<"d/c1=";    (d/c1).display();  
  
    system("pause");  
    return 0;  
}