实现复数类中的运算符重载（含有double类型）

最新推荐文章于 2023-04-21 19:05:09 发布

霍雨佳

最新推荐文章于 2023-04-21 19:05:09 发布

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本文链接：https://blog.youkuaiyun.com/u012369069/article/details/23757411

本文介绍了一个复数类的设计与实现，重点在于运算符重载，包括加、减、乘、除等操作，使其能够与double类型的数值进行运算。通过具体的代码示例展示了如何在C++中实现这些功能。

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/*
* 作    者： 霍雨佳
* 完成日期：2014 年4月15日
* 版 本 号：v1.0
* 问题描述：实现复数类中的运算符重载。
* 样例输入：
* 样例输出：
* 问题分析：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”，这样的类在方案二的基础上，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+(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+(Complex &c1,double c);
    friend Complex operator-(Complex &c1,double c);
    friend Complex operator*(Complex &c1,double c);
    friend Complex operator/(Complex &c1,double c);
    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);
    void display();
private:
    double real;
    double imag;
};
Complex operator+(Complex &c1,Complex &c2)
{
    return  Complex(c2.real+c1.real,c2.imag+c1.imag);
}
Complex operator-(Complex &c1,Complex &c2)
{
    return  Complex(c2.real-c1.real,c2.imag-c1.imag);
}
Complex operator*(Complex &c1,Complex &c2)
{
    return  Complex((c2.real*c1.real-c1.imag*c2.imag),(c1.real*c2.imag+c1.imag*c2.real));
}
Complex operator/(Complex &c1,Complex &c2)
{
    Complex c;
    c.real=((c2.real*c1.real+c1.imag*c2.imag)/((c2.real*c2.real)+(c2.imag*c2.imag)));
    c.imag=((c1.real*c2.imag-c1.imag*c2.real)/((c2.real*c2.real)+(c2.imag*c2.imag)));
    return c;
}
Complex operator+(Complex &c1,double c)
{
    return  Complex(c+c1.real,c1.imag);
}
Complex operator-(Complex &c1,double c)
{
    return  Complex(c-c1.real,-c1.imag);
}
Complex operator*(Complex &c1,double c)
{
    return  Complex((c*c1.real),(c1.imag*c));
}
Complex operator/(Complex &c1,double c)
{
    Complex c7;
    c7.real=((c*c1.real)/(c*c));
    c7.imag=-((c1.imag*c)/(c*c));
    return c7;
}
Complex operator+(double c,Complex &c1)
{
    return  Complex(c+c1.real,c1.imag);
}
Complex operator-(double c,Complex &c1)
{
    return  Complex(c1.real-c,c1.imag);
}
Complex operator*(double c,Complex &c1)
{
    return  Complex((c*c1.real),(c1.imag*c));
}
Complex operator/(double c,Complex &c2)
{
    Complex c7;
    c7.real=((c2.real*c)/((c2.real*c2.real)+(c2.imag*c2.imag)));
    c7.imag=((c*c2.imag)/((c2.real*c2.real)+(c2.imag*c2.imag)));
    return c7;
}
void Complex::display()
{
    cout<<"("<<real<<","<<imag<<"i)"<<endl;
}
//下面定义用于测试的main()函数
int main()
{
    double c=5;
    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();
    cout<<endl;
    cout<<"double类型·复数："<<endl;
    cout<<"c="<<c<<endl;
    cout<<"c1=";
    c1.display();
    c3=c1+c;
    cout<<"c1+c=";
    c3.display();
    c3=c1-c;
    cout<<"c-c1=";
    c3.display();
    c3=c1*c;
    cout<<"c1*c=";
    c3.display();
    c3=c1/c;
    cout<<"c1/c=";
    c3.display();
    cout<<endl;
    cout<<"复数·double类型："<<endl;
    cout<<"c="<<c<<endl;
    cout<<"c2=";
    c2.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();
    c3=c2/c;
    cout<<"c/c2=";
    c3.display();
    return 0;
}

运行结果：