第7周项目2-实现复数类中的运算符重载（3.完善功能）

/*
*copyright (c)2015,烟台大学计算机学院
*All rights reserved
*文件名称：project.cpp
*作者：孙春红
*完成日期：2015年4月27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。
*输入描述：略。
*程序输出：略。
*/
#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+(Complex &c1,double d);
    friend Complex operator-(Complex &c1,double d);
    friend Complex operator*(Complex &c1,double d);
    friend Complex operator/(Complex &c1,double d);
    friend Complex operator+(double d,Complex &c1);
    friend Complex operator-(double d,Complex &c1);
    friend Complex operator*(double d,Complex &c1);
    friend Complex operator/(double d,Complex &c1);
    void display();
private:
    double real;
    double imag;
};
//下面定义成员函数
Complex operator +(const Complex &c1,const Complex &c2)
{
    Complex c;
    c.real=c1.real+c2.real;
    c.imag=c1.imag+c2.imag;
    return c;
}
Complex operator +(Complex &c1,double d)
{
    return Complex(c1.real+d,c1.imag);
}
Complex operator+(double d,Complex &c1)//d相当于0+di
{
    return Complex(c1.real,c1.imag+d);
}
Complex operator -(const Complex &c1,const Complex &c2)
{
    Complex c;
    c.real=c1.real-c2.real;
    c.imag=c1.imag-c2.imag;
    return c;
}
Complex operator -(Complex &c1,double d)
{
    return Complex(c1.real-d,c1.imag);
}
Complex operator-(double d,Complex &c1)//d相当于0+di
{
    return Complex(c1.real,c1.imag-d);
}
Complex operator *(const Complex &c1,const Complex &c2)
{
    Complex c;
    c.real=c1.real*c2.real-c1.imag*c2.imag;
    c.imag=c1.real*c2.imag+c1.imag*c2.real;
    return c;
}
Complex operator *(Complex &c1,double d)
{
    Complex c;
    c.real=c1.real*d;
    c.imag=c1.imag*d;
    return c;
}
Complex operator*(double d,Complex &c1)//d相当于0+di
{
    Complex c;
    c.real=-d*c1.imag;
    c.imag=d*c1.real;
    return c;
}
Complex operator /(const Complex &c1,const Complex &c2)
{
    Complex c;
    c.real=(c1.real*c2.real+c1.imag*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag);
    c.imag=(c1.imag*c2.real-c1.real*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag);
    return c ;
}
Complex operator /(Complex &c1,double b)
{
    Complex c;
    c.real=(c1.real*b)/(b*b);
    c.imag=(c1.imag*b)/(b*b);
    return c ;;
}
Complex operator/(double d,Complex &c1)//d相当于0+di
{
    Complex c;
    c.real=(d*c1.imag)/(c1.real*c1.real+c1.imag*c1.imag);
    c.imag=(d*c1.real)/(c1.real*c1.real+c1.imag*c1.imag);
    return c ;
}
void Complex::display()
{
    cout<<"("<<real<<","<<imag<<"i)"<<endl;
}
//下面定义用于测试的main()函数
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=c2+2;
    cout<<"c2+2=";
    c3.display();
    c3=2+c1;
    cout<<"2+c1=";
    c3.display();
    c3=c1-c2;
    cout<<"c1-c2=";
    c3.display();
    c3=c2-2;
    cout<<"c2-2=";
    c3.display();
    c3=2-c1;
    cout<<"2-c1=";
    c3.display();
    c3=c1*c2;
    cout<<"c1*c2=";
    c3.display();
    c3=c2*2;
    cout<<"c2*2=";
    c3.display();
    c3=2*c1;
    cout<<"2*c1=";
    c3.display();
    c3=c1/c2;
    cout<<"c1/c2=";
    c3.display();
    c3=c2/2;
    cout<<"c2/2=";
    c3.display();
    c3=2/c2;
    cout<<"2/c2=";
    c3.display();
    return 0;
}

运行结果：

知识点总结：

完成运算符重载。