第8周任务1-3（复数与double型数据的四则运算）

淩亂°似流年 2022-06-13 10:41 171阅读 0赞

/* (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;
    }

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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。

[1333891317_7761.png]: https://img-my.csdn.net/uploads/201204/08/1333891317_7761.png