第八週項目一實現複數類中運算符重載

原創

2020-02-20 15:31

/* 
* Copyright (c) 2013, 煙臺大學計算機學院 
* All rights reserved. 
* 作    者：紀麗娜
* 完成日期：2014 年 4 月15 日 
* 版 本 號：v1.0 
* 問題描述：一個定義完整的類，是可以當作獨立的產品發佈，成爲衆多項目中的“基礎工程”，
這樣的類在方案二的基礎上，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相加”，其他-、*、/運算符類似。
*/  
#include <iostream>
using namespace std;
class Complex
{
public:
    Complex()
    {
        real=0;
        imag=0;
    }
    Complex(double r,double i)
    {
        real=r;
        imag=i;
    }
    Complex operator+(Complex &c2);
    Complex operator-(Complex &c2);
    Complex operator*(Complex &c2);
    Complex operator/(Complex &c2);
    //c+c1
    friend Complex operator+(double c,Complex &c1);
    friend Complex operator-(double c,Complex &c1);
    friend Complex operator*(double c,Complex &c1);
    friend Complex operator/(double c,Complex &c1);
    //c1+c
    friend Complex operator+(Complex &c2,double c);
    friend Complex operator-(Complex &c2,double c);
    friend Complex operator*(Complex &c2,double c);
    friend Complex operator/(Complex &c2,double c);
    void display();
private:
    double real;
    double imag;
};
//下面定義成員函數
Complex Complex::operator+(Complex &c2)
{
    Complex c;
    c.real=real+c2.real;
    c.imag=imag+c2.imag;
    return c;
}
Complex Complex::operator-(Complex &c2)
{
    Complex c;
    c.real=real-c2.real;
    c.imag=imag-c2.imag;
    return c;
}
Complex Complex::operator*(Complex &c2)
{
    Complex c;
    c.real=(real*c2.real-imag*c2.imag);
    c.imag=(real*c2.imag+imag*c2.real);
    return c;
}
Complex Complex::operator/(Complex &c2)
{
    Complex c;
    c.real=(real*c2.real+imag*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag);
    c.imag=(imag*c2.real-real*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag);
    return c;
}

//c+c1
Complex operator+(double c,Complex &c1)
{
    return  Complex(c+c1.real,c1.imag);
}
Complex operator-(double c,Complex &c1)
{
    return  Complex(c-c1.real,c1.imag);
}
Complex operator*(double c,Complex &c1)
{
    return  Complex(c*c1.real,c*c1.imag);
}
Complex operator/(double c,Complex &c1)
{
    Complex c2;
    c2.real=(c*c1.real)/(c1.real*c1.real+c1.imag*c1.imag);
    c2.imag=-1*((c*c1.imag)/(c1.real*c1.real+c1.imag*c1.imag));
    return c2;
}
//c1+c
Complex operator+(Complex &c2,double c)
{
    return  Complex(c2.real+c,c2.imag);
}
Complex operator-(Complex &c2,double c)
{
    return  Complex(c2.real-c,c2.imag);
}
Complex operator*(Complex &c2,double c)
{
    return  Complex(c*c2.real,c*c2.imag);
}
Complex operator/(Complex &c2,double c)
{
    return  Complex(c2.real/c,c2.imag/c);
}
//輸出
void Complex::display()
{
     if(real==0)
     {cout<<imag<<"i"<<endl;
     }else
    {
        if(imag<0)
     {cout<<real<<imag<<"i"<<endl;
     }else if(imag==0)
     {cout<<real<<endl;
     }else
     {cout<<real<<"+"<<imag<<"i"<<endl;}
    }
}
//下面定義用於測試的main()函數
int main()
{
    Complex c1(3,4),c2(5,-10),c3;
    double c;
    cout<<"c1=";
    c1.display();
    cout<<"c2=";
    c2.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();
    c3=c1/c2;
    cout<<"c1/c2=";
    c3.display();
    cout<<"請輸入一個double類型的數據與c1進行運算："<<endl;
    cin>>c;
    c3=c+c1;
    cout<<"c+c1=";
    c3.display();
    c3=c-c1;
    cout<<"c-c1=";
    c3.display();
    c3=c*c1;
    cout<<"c*c1=";
    c3.display();
    c3=c/c1;
    cout<<"c/c1=";
    c3.display();
    cout<<"請輸入一個double類型的數據與c2進行運算："<<endl;
    cin>>c;
    c3=c2+c;
    cout<<"c2+c=";
    c3.display();
    c3=c2-c;
    cout<<"c2-c=";
    c3.display();
    c3=c2*c;
    cout<<"c2*c=";
    c3.display();
    c3=c2/c;
    cout<<"c2/c=";
    c3.display();
    return 0;
}