第九周任务一

/* (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： 李超                             
* 完成日期：   2012 年     4 月    17  日
* 版 本 号：          01.09.01


* 对任务及求解方法的描述部分
* 输入描述： 
* 问题描述： 接第八周任务一，定义Complex类中的<<和>>运算符的重载，实现输入和输出，改造源程序中对结果显示方式，使程序读起来更自然。
* 程序输出： 
* 程序头部的注释结束

*/

头文件Complex.h

#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, double &c2);
	friend Complex operator + (double &c1, Complex &c2);
	friend Complex operator - (Complex &c1, Complex &c2);
	friend Complex operator - (Complex &c1, double &c2);
	friend Complex operator - (double &c1, Complex &c2);
	friend Complex operator * (Complex &c1, Complex &c2);
	friend Complex operator * (Complex &c1, double &c2);
	friend Complex operator * (double &c1, Complex &c2);
	friend Complex operator / (Complex &c1, Complex &c2);
	friend Complex operator / (Complex &c1, double &c2);
	friend Complex operator / (double &c1, Complex &c2);
	friend istream & operator >> (istream &in, Complex &c);
	friend ostream & operator << (ostream &in, Complex &c);



	void display ();

private:
	double real;
	double imag;
};

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,double &c2)
{
	return Complex (c1.real+c2, c1.imag);
} 

Complex operator + (double &c1, Complex &c2)//该处有问题！！！
{
	return Complex (c1 + c2.real , c2.imag );
} 

Complex operator - (Complex &c1, Complex &c2)
{
	
	return Complex (c1.real + c2.real , c1.imag + c2.imag );

}

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

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

Complex operator * (Complex &c1, Complex &c2)//（a+bi）·（c+di）=（ac－bd）+（bc+ad）i
{
	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 &c1, Complex &c2)//（a+bi）·（c+di）=（ac－bd）+（bc+ad）i，
{	
	return Complex (c1 * c2.real , c2.imag * c1);	
}

Complex operator * (Complex &c1, double &c2)//（a+bi）·（c+di）=（ac－bd）+（bc+ad）i，
{
	return Complex (c1.real * c2, c1.imag * c2);	
}

Complex operator / (Complex &c1,Complex &c2)//（a+bi）÷(c+di)=(ac+bd)/(c^2+d^2) +((bc-ad)/(c^2+d^2))i
{
	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 / (Complex &c1, double &c2)//（a+bi）÷(c+di)=(ac+bd)/(c^2+d^2) +((bc-ad)/(c^2+d^2))i
{
	
	return Complex((c1.real * c2) / (c2 * c2), (c1.imag * c2) / (c2 * c2));

}

Complex operator / (double &c1, Complex &c2)//（a+bi）÷(c+di)=(ac+bd)/(c^2+d^2) +((bc-ad)/(c^2+d^2))i
{
	return Complex ((c1 * c2.real ) / (c2.real * c2.real + c2.imag * c2.imag ), (-c1 * c2.imag ) / (c2.real * c2.real + c2.imag * c2.imag ));
}
void Complex::display ( )   
{
	cout <<"(" <<real <<"," <<imag <<"i)" <<endl;
}

istream & operator >> (istream &in, Complex &c)
{
	in>>c.real >>c.imag;
	return in;
}

ostream & operator << (ostream &out, Complex &c)
{
	out <<"(" <<c.real <<"," <<c.imag <<"i)" <<endl;
	return out;
}

主函数main.cpp

#include <iostream>
#include "Complex.h"

using namespace std;

int main()
{
	Complex c1,c2,c3;
	cout <<"请输入虚数c1（实部，虚部）";
	cin>>c1;
	cout <<"请输入虚数c2（实部，虚部）";
	cin>>c2;
	cout <<"c1=";
	cout<<c1;
	//c1.display();
	cout <<"c2=";
	cout <<c2;
	//c2.display();
	c3=c1+c2;
	cout <<"c1+c2=";
	cout <<c3;
	//c3.display();
	c3=c1-c2;
	cout<<"c1-c2=";
	cout <<c3;
	//c3.display();
	c3=c1*c2;
	cout<<"c1*c2=";
	cout <<c3; 
	//c3.display();
	c3=c1/c2;
	cout<<"c1/c2=";
	cout <<c3;
	//c3.display();
	system("pause");
	return 0;
}