第8周实验报告1-3

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/* (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： 
* 作    者：         朱亚楠                        
 
* 完成日期：     2012    年 04  月    9 日 
 
* 版 本 号：          
 
* 对任务及求解方法的描述部分 
 
* 输入描述：  
 
* 问题描述：  
 
* 程序输出： 
 
 * 程序头部的注释结束 
 
*/  
#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 &c2);
	friend Complex operator*(Complex &c1,Complex &c2);
	friend Complex operator/(Complex &c1,Complex &c2);
	friend Complex operator+(Complex &c1,const double &d);
	friend Complex operator+(const double &d, Complex &c);
	friend void display(Complex &c2);
private:
	double real;
	double imag;
};
//下面定义友元函数

//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+(Complex &c1,const double &d)
{
	return Complex(c1.real+d, c1.imag);
}
Complex operator+(const double &d, Complex &c1)
{
	return Complex(c1.real+d, c1.imag);
}
  
//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-(Complex &c2)
{
	return Complex(-c2.real, -c2.imag);

}
//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;      
}      
    
//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;      
    double d=c2.real*c2.real+c2.imag*c2.imag;  
    c.real=(c1.real*c2.real+c1.imag*c2.imag)/d;     //此处有危险未排除：除法溢出  
    c.imag=(c1.imag*c2.real-c1.real*c2.imag)/d;      
    return c;      
}   
     
void display(Complex &c2)    
{  
    cout<<"("<<c2.real<<","<<c2.imag<<"i)"<<endl;  
}  

int main()
{
	Complex c1(3,4),c2(5,-10),c3,c4;
	cout<<"c1=";
	display(c1);
	cout<<"c2=";
	display(c2);
	c3=c1+c2;
	cout<<"c1+c2=";
	display(c3);
	c3=c1-c2;
	cout<<"c1-c2=";
	display(c3);
	c3=c1*c2;
	cout<<"c1*c2=";
	display(c3);
	c3=c1/c2;
	cout<<"c1/c2=";
	display(c3);
    c4=c1+3.14;
	cout<<"c1+3.14=";
	display(c4);
	c4=3.14+c1;
	cout<<"3.14+c1=";
	display(c4);
	c4=-c1;
	cout<<"-c1=";
	display(c4);
	system("pause");
	return 0;
}