第八週任務一3

//實驗內容:實現複數類中的運算符重載定義一個複數類重載運算符+、-、*、/，使之能用於複數的加減乘除。  
* 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： 實現複數類中的運算符重載                              
* 作    者：  張豔明                              
* 完成日期：  2012       年  4    月      11日   
* 版 本號：  x1.0          
   
* 對任務及求解方法的描述部分   
* 輸入描述： 
 
* 程序頭部的註釋結束（此處也刪除了斜槓）   
*/  
/*【任務1】實現複數類中的運算符重載定義一個複數類重載運算符+、-、*、/，使之能用於複數的加減乘除。 
（2）方案二：請用類的友元函數，而不是成員函數，完成上面提及的運算符的重載； 
（3）方案三：在方案二的基礎上，擴展+、-、*、/運算符的功能，使之能與double型數據進行運算。設Complex c; double d; c?d和d?c的結果爲將d視爲實部爲d的複數同c運算的結果（其中?爲+、-、*、/之一）。另外，定義一目運算符-，-c相當於0-c。；*/  
#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+ (const double &d, Complex &c);  
    friend Complex operator+ (Complex &c, const double &d);  
  
    friend Complex operator- (Complex &c1, Complex &c2);  
    friend Complex operator- (const double &d, Complex &c);  
    friend Complex operator- (Complex &c, const double &d);  
  
    friend Complex operator- (Complex &c);  
  
    friend Complex operator* (Complex &c1, Complex &c2);  
    friend Complex operator* (const double &d, Complex &c);  
    friend Complex operator* (Complex &c, const double &d);  
  
    friend Complex operator/ (Complex &c1, Complex &c2);  
    friend Complex operator/ (const double &d, Complex &c);  
    friend Complex operator/ (Complex &c, const double &d);  
  
    void display();  
private:  
    double real;  
    double imag;  
};  
//下面定義成員函數  
void Complex :: display( )      
{    
    cout<<"("<<real<<","<<imag<<"i)"<<endl;    
}    
  
Complex operator + (Complex &c1, Complex &c2)  
{return Complex(c1.real + c2.real, c1.imag + c2.imag);}  
  
class Complex;  
Complex operator + (const double &d, Complex &c)  
{ return Complex(d + c.real, c.imag);}  
  
Complex operator + (Complex &c, const double &d)  
{ return Complex(c.real + d, c.imag);}  
  
Complex operator - (Complex &c1, Complex &c2)  
{return Complex(c1.real - c2.real, c1.imag - c2.imag);}  
  
class Complex;  
Complex operator - (const double &d, Complex &c)  
{ return Complex(d - c.real, -c.imag);}  
  
Complex operator - (Complex &c, const double &d)  
{ return Complex(c.real - d, c.imag);}  
  
Complex operator - (Complex &c)  
{ return Complex(-c.real, -c.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 * (const double &d, Complex &c)  
{ return Complex(d * c.real, d * c.imag);}  
  
Complex operator * (Complex &c, const double &d)  
{ return Complex(c.real * d, c.imag * d);}  
  
Complex operator / (Complex &c1, Complex &c2)  
{return Complex((c1.real * c2.real + c1.imag * c2.imag) / (c2.real * c2.real + c2.imag * c2.imag), (c1.imag * c2.real - c1.real * c2.imag) / (c2.real * c2.real + c2.imag * c2.imag));}  
  
Complex operator / (Complex &c, const double &d)  
{ return Complex(d / c.real, d / c.imag);}  
  
Complex operator / (const double &d, Complex &c)  
{ return Complex((d * c.real) / (c.real * c.real + c.imag * c.imag), ( - d * c.imag) / (c.real * c.real + c.imag * c.imag));}  
  
int main()  
{  
    const double d = 2;  
    Complex c1(3,4),c2(5,-10),c3,c4;  
    cout << "c1=";  
    c1.display();  
  
    cout << "c2=";  
    c2.display();  
  
    c3 = c1 + c2;  
    cout << "c1+c2=";  
    c3.display();  
  
    c3 = c1 + 2;  
    cout << "c1+2=";  
    c3.display();  
  
    c3 = 2 + c1;  
    cout << "2+c1=";  
    c3.display();  
  
    c3 = c1 - c2;  
    cout << "c1-c2=";  
    c3.display();  
  
    c3 = c1 - 2;  
    cout << "c1-2=";  
    c3.display();  
  
    c3 = 2 - c1;  
    cout << "2-c1=";  
    c3.display();  
  
    c3 = c1 * c2;  
    cout << "c1*c2=";  
    c3.display();  
  
    c3 = c1 * 2;  
    cout << "c1*2=";  
    c3.display();  
  
    c3 = 2 * c1;  
    cout << "2*c1=";  
    c3.display();  
  
    c3 = c1 / c2;  
    cout << "c1/c2=";  
    c3.display();  
  
    c3 = c1 / 2;  
    cout << "c1/2=";  
    c3.display();  
  
    c3 = 2 / c1;  
    cout << "2/c1=";  
    c3.display();  
  
    c3 = - c1;  
    cout << "-c1=";  
    c3.display();  
  
    system("pause");  
    return 0;  
}