第八週任務一（3） 運算符重載 複數與實數的計算

/* (程序頭部註釋開始)
* 程序的版權和版本聲明部分
* Copyright (c) 2011, 煙臺大學計算機學院學生 
* All rights reserved.
* 文件名稱： 
* 作    者：  姜雅明  
* 完成日期：  2012    年   04    月   10    日
* 版 本 號：  1.0

* 對任務及求解方法的描述部分
* 輸入描述： 複數
* 問題描述： 通過友元函數運算符重載，計算複數
* 程序輸出： 計算後的複數
* 程序頭部的註釋結束
*/

#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 &c1, Complex &c2);
	friend Complex operator / (Complex &c1, Complex &c2);
	friend Complex operator + (double &d, Complex &c);
	friend Complex operator + (Complex &c, double &d);
	friend Complex operator - (double &d, Complex &c);
	friend Complex operator - (Complex &c, double &d);
	friend Complex operator * (double &d, Complex &c);
	friend Complex operator * (Complex &c, double &d);
	friend Complex operator / (double &d, Complex &c);
	friend Complex operator / (Complex &c, double &d);
	void display();
private:
	double real;
	double imag;
};
//下面定義成員函數
Complex operator + (Complex &c1, Complex &c2)
{
	return Complex (c1.real + c2.real, c1.imag + c2.imag);
}

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

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

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

Complex operator + (double &d, Complex &c)
{
	return Complex (d + c.real, c.imag);
}

Complex operator + (Complex &c, double &d)
{
	return Complex (d + c.real, c.imag);
}

Complex operator - (double &d, Complex &c)
{
	return Complex (d - c.real, c.imag);
}

Complex operator - (Complex &c, double &d)
{
	return Complex (c.real - d, c.imag);
}

Complex operator * (double &d, Complex &c)
{
	return Complex (d * c.real, d * c.imag);
}

Complex operator * (Complex &c, double &d)
{
	return Complex (c.real * d, c.imag * d);
}

Complex operator / (double &d, Complex &c)
{
	return Complex ((d * c.real) / (c.imag * c.imag + c.real * c.real),
		(-d * c.imag) / (c.imag * c.imag + c.real * c.real));
}

Complex operator / (Complex &c, double &d)
{
	return Complex ((c.real * d ) / (d * d),(c.imag * d ) / (d * d));                
}

void Complex::display()
{
	cout << "(" << real << "," << imag << "i)" << endl;
}

int main()
{
	Complex c1(3,4), c2(5,-10), c3, c4;

	double a=1.1, b=2;


	cout << "c1=";
	c1.display();

	cout << "c2=";
	c2.display();

	cout << "a=" << a << endl;
	cout << "b=" << b << endl;

	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();

	c4 = a + c1;
	cout << "a+c1=";
	c4.display();

	c4 = c1 + a;
	cout << "c1+a";
	c4.display();

	c4 = a - c1;
	cout << "a-c1=";
	c4.display();

	c4 = c1 - a;
	cout << "c1-a";
	c4.display();

	c4 = b * c2;
	cout << "b*c2=";
	c4.display();

	c4 = c2 * b;
	cout << "c2*b=";
	c4.display();

	c4 = b / c2;
	cout << "b/c2=";
	c4.display();

	c4 = c2 / b;
	cout << "c2/b=";
	c4.display();


	system("pause");
	return 0;
}