/* (程序头部注释开始)
* 程序的版权和版本声明部分
* Copyright (c) 2011, 烟台大学计算机学院学生
* All rights reserved.
* 文件名称:
* 作 者: 臧鹏
* 完成日期: 2012 年 4 月 8 日
* 版 本 号:
* 对任务及求解方法的描述部分
* 输入描述: 复数相加: (a+bi)+(c+di)=(a+c)+(b+d)i.复数相减:(a+bi)-(c+di)=(a-c)+(b-d)i.
复数相乘:(a+bi)(c+di)=(ac-bd)+(bc+ad)i. 复数相除:(a+bi)/(c+di)=(ac+bd)/(c^2+d^2) +(bc-ad)/(c^2+d^2)i
* 问题描述:实现复数类中的运算符重载。定义一个复数类重载运算符+、-、*、/,使之能用于复数的加减乘除,扩展功能,使之能与
double型数据进行运算,d?c,和c?d的运算,?为+—*/。还定义一目运算符-c,相当于0-c.
* 程序输出:
* 程序头部的注释结束
*/
#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,const double &d);
friend Complex operator-(Complex &c1,const double &d);
friend Complex operator*(Complex &c1,const double &d);
friend Complex operator/(Complex &c1,const double &d);
friend Complex operator+(const double &d,Complex &c1);
friend Complex operator-(const double &d,Complex &c1);
friend Complex operator*(const double &d,Complex &c1);
friend Complex operator/(const double &d,Complex &c1);
friend Complex operator-(Complex &c);//一目运算符
void display();
private:
double real;
double imag;
};
//下面定义成员函数
Complex operator+(Complex &c1,Complex &c2)//复数加法
{
Complex c;
c.real = c1.real +c2.real;
c.imag = c1.imag +c2.imag;
return c;
}
Complex operator+(Complex &c1,const double &d)//复数加double
{
Complex c;
c.real = c1.real +d;
c.imag = c1.imag ;
return c;
}
Complex operator+(const double &d,Complex &c1)//double加复数
{
Complex c;
c.real = c1.real +d;
c.imag = c1.imag ;
return c;
}
Complex operator-(Complex &c1,Complex &c2) //复数减法
{
Complex c;
c.real = c1.real -c2.real;
c.imag = c1.imag -c2.imag;
return c;
}
Complex operator-(Complex &c1,const double &d)//复数减double
{
Complex c;
c.real = c1.real -d;
c.imag = c1.imag ;
return c;
}
Complex operator-(const double &d,Complex &c1)//double减复数
{
Complex c;
c.real =d- c1.real ;
c.imag = -c1.imag ;
return c;
}
Complex operator*(Complex &c1,Complex &c2) //复数乘法
{
Complex c;
c.real=c1.real*c2.real-c1.imag*c2.imag;
c.imag=c1.imag*c2.real+c1.real*c2.imag;
return c;
}
Complex operator*(Complex &c1,const double &d)//复数乘double
{
Complex c;
c.real=c1.real*d-c1.imag*0;
c.imag=c1.imag*d+c1.real*0;
return c;
}
Complex operator*(const double &d,Complex &c1)//double乘复数
{
Complex c;
c.real=c1.real*d-c1.imag*0;
c.imag=c1.imag*d+c1.real*0;
return c;
}
Complex operator/(Complex &c1,Complex &c2)//复数除法
{
Complex c;
c.real=(c1.real*c2.real+c2.imag*c1.imag)/(c2.real*c2.real+c2.imag*c2.imag);
c.imag=(c2.real*c1.imag-c2.imag*c1.real)/(c2.real*c2.real+c2.imag*c2.imag);
return c;
}
Complex operator/(Complex &c1,const double &d)//复数除double
{
Complex c;
c.real=(c1.real*d+0*c1.imag)/(d*d);
c.imag=(d*c1.imag-0*c1.real)/(d*d);
return c;
}
Complex operator/(const double &d,Complex &c1)//double除复数
{
Complex c;
c.real=(c1.real*d+0*c1.imag)/(c1.real*c1.real+c1.imag*c1.imag);
c.imag=(0*c1.real-d*c1.imag)/(c1.real*c1.real+c1.imag*c1.imag);
return c;
}
void Complex::display()
{
cout<<"("<<real<<","<<imag<<"i)"<<endl;
cout<<endl;
}
Complex operator-(Complex &c1)
{
Complex c;
c.real = -c1.real;
c.imag = -c1.imag;
return c;
}
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();
c3=c1+6.38;
cout<<"c1+6.38=";
c3.display();
c3=c1-6.38;
cout<<"c1-6.38=";
c3.display();
c3=c1*6.38;
cout<<"c1*6.38=";
c3.display();
c3=c1/6.38;
cout<<"c1/6.38=";
c3.display();
c3=6.38+c1;
cout<<"6.38+c1=";
c3.display();
c3=6.38-c1;
cout<<"6.38-c1=";
c3.display();
c3=6.38*c1;
cout<<"6.38*c1=";
c3.display();
c3=6.38/c1;
cout<<"6.38/c1=";
c3.display();
c3 = -c2;
cout<<"-c2=";
c3.display();
system("pause");
return 0;
}

经验积累:
程序中double与复数的除法两种是不同的,double型的数据要用const。单目运算符要有一个参数。
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