第十二周上机实践——项目1-实现复数类中的运算符重载-（3）-优快云博客

本文介绍了一个定义完整的复数类，并展示了如何通过运算符重载实现复数与double类型之间的基本数学运算，包括加、减、乘、除。

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/*
 *Copyright (c)2016,烟台大学计算机与控制工程学院
 *All rights reserved.
 *文件名称：main.cpp
 *作    者：郭永恒
 *完成日期：2016年5月18日
 *版 本 号：v1.0
 *
 *问题描述： 定义一个定义完整的类（是可以当作独立的产品发布，成为众多项目中的“基础工程”）。
 *这样的类在(2)的基础上，扩展+、-、*、/运算符的功能，使之能与double型数据进行运算。设Complex c; double d;
 *c+d和d+c的结果为“将d视为实部为d的复数同c相加”，其他-、*、/运算符类似。
 */

#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+(const Complex &c1, const Complex &c2);
    friend Complex operator-(const Complex &c1, const Complex &c2);
    friend Complex operator*(const Complex &c1, const Complex &c2);
    friend Complex operator/(const Complex &c1, const Complex &c2);

    friend Complex operator+(const Complex &c, const double d);
    friend Complex operator-(const Complex &c, const double d);
    friend Complex operator*(const Complex &c, const double d);
    friend Complex operator/(const Complex &c, const double d);

    friend Complex operator+(const double d, const Complex &c);
    friend Complex operator-(const double d, const Complex &c);
    friend Complex operator*(const double d, const Complex &c);
    friend Complex operator/(const double d, const Complex &c);
    void display();
private:
    double real;
    double imag;
};

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

Complex operator+(const Complex &c, const double d)
{
    Complex temp;
    temp = c;
    temp.real += d;
    return temp;
}
Complex operator-(const Complex &c, const double d)
{
    Complex temp;
    temp = c;
    temp.real -= d;
    return temp;
}

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

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

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

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

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

void Complex::display()
{
    cout << real;
    if(imag > 0)
        cout << "+" << imag << "i" << endl;
    if(imag < 0)
        cout << imag << "i" << endl;
}

//int main()
//{
//    Complex c1(3,4),c2(5,-10),c3;
//    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();
//}
int main()
{
    Complex c1(3,4),c2(5,-10),c3;
    double d=11;
    cout<<"c1=";
    c1.display();
    cout<<"c2=";
    c2.display();
    cout<<"d="<<d<<endl<<endl;
    cout<<" 下面是重载运算符的计算结果: "<<endl;
    c3=c1+c2;
    cout<<"c1+c2=";
    c3.display();
    cout<<"c1+d=";
    (c1+d).display();
    cout<<"d+c1=";
    (d+c1).display();
    c3=c1-c2;
    cout<<"c1-c2=";
    c3.display();
    cout<<"c1-d=";
    (c1-d).display();
    cout<<"d-c1=";
    (d-c1).display();
    c3=c1*c2;
    cout<<"c1*c2=";
    c3.display();
    cout<<"c1*d=";
    (c1*d).display();
    cout<<"d*c1=";
    (d*c1).display();
    c3=c1/c2;
    cout<<"c1/c2=";
    c3.display();
    cout<<"c1/d=";
    (c1/d).display();
    cout<<"d/c1=";
    (d/c1).display();
    return 0;
}

运行结果：