复数运算的C++实现-优快云博客

本文详细介绍了如何使用C++实现复数的加、减、乘、除运算，并通过实例展示了具体操作。

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一、

#include<iostream>  
using namespace std;  
class Complex  
{  
public:  
    Complex(){real=0;imag=0;}  
    Complex(double r,double i){real=r;imag=i;}  
    Complex operator+(Complex &c2);  
    Complex operator-(Complex &c2);  
    Complex operator*(Complex &c2);  
    Complex operator/(Complex &c2);  
    void display();  
private:  
    double real;  
    double imag;  
};  
//下面定义成员函数  

//相加： (a+bi)+(c+di)=(a+c)+(b+d)i.  
Complex Complex::operator+(Complex &c2)      
{    
    Complex c;     
    c.real=real+c2.real;    
    c.imag=imag+c2.imag;    
    return c;    
}    
    
    
//相减：(a+bi)-(c+di)=(a-c)+(b-d)i.        
Complex Complex::operator-(Complex &c2)        
{   Complex c;        
    c.real=real-c2.real;        
    c.imag=imag-c2.imag;        
    return c;        
}        
      
//相乘：(a+bi)(c+di)=(ac－bd)+(bc+ad)i.    
     
Complex Complex::operator*(Complex &c2)   
{        
    Complex  c;        
    c.real=real*c2.real-imag*c2.imag;        
    c.imag=imag*c2.real+real*c2.imag;        
    return c;        
}        
      
//相除：(a+bi)/(c+di)=(ac+bd)/(c^2+d^2) +(bc-ad)/(c^2+d^2)i    
Complex Complex::operator/(Complex &c2)   
{        
     Complex  c;        
    double d=c2.real*c2.real+c2.imag*c2.imag;    
    c.real=(real*c2.real+imag*c2.imag)/d;     //除法溢出    
    c.imag=(imag*c2.real-real*c2.imag)/d;        
    return c;        
}     

void Complex::display( )      
{    
    cout<<"("<<real<<","<<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();  
    system("pause");  
    return 0;  
}

二、

#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 void display(Complex &c2);  
private:  
    double real;  
    double imag;  
};  
//下面定义友元函数  
  
//相加： (a+bi)+(c+di)=(a+c)+(b+d)i.  
Complex operator+(Complex &c1,Complex &c2)      
{    
    Complex c;     
    c.real=c1.real+c2.real;    
    c.imag=c1.imag+c2.imag;    
    return c;    
}    
    
    
//相减：(a+bi)-(c+di)=(a-c)+(b-d)i.        
Complex operator-(Complex &c1,Complex &c2)        
{        
    Complex c;        
   c.real=c1.real-c2.real;        
    c.imag=c1.imag-c2.imag;        
    return c;        
}        
      
//相乘：(a+bi)(c+di)=(ac－bd)+(bc+ad)i.    
     
Complex operator*(Complex &c1,Complex &c2)   
{        
    Complex  c;        
    c.real=c1.real*c2.real-c1.imag*c2.imag;        
   c.imag=c1.imag*c2.real+c1.real*c2.imag;        
    return c;        
}        
      
//相除：(a+bi)/(c+di)=(ac+bd)/(c^2+d^2) +(bc-ad)/(c^2+d^2)i    
Complex operator/(Complex &c1,Complex &c2)   
{        
    Complex  c;        
    double d=c2.real*c2.real+c2.imag*c2.imag;    
    c.real=(c1.real*c2.real+c1.imag*c2.imag)/d;     //除法溢出    
    c.imag=(c1.imag*c2.real-c1.real*c2.imag)/d;        
    return c;        
}     
       
void display(Complex &c2)      
{    
    cout<<"("<<c2.real<<","<<c2.imag<<"i)"<<endl;    
}    
  
int main()  
{  
       Complex c1(3,4),c2(5,-10),c3;  
    cout<<"c1=";  
      display(c1);  
    cout<<"c2=";  
    display(c2);  
    c3=c1+c2;  
    cout<<"c1+c2=";  
    display(c3);  
    c3=c1-c2;  
    cout<<"c1-c2=";  
    display(c3);  
    c3=c1*c2;  
    cout<<"c1*c2=";  
    display(c3);  
    c3=c1/c2;  
    cout<<"c1/c2=";  
    display(c3);  
    system("pause");  
    return 0;  
}

三、

#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 &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+(const double &d, Complex &c);  
      friend void display(Complex &c2);  
private:  
    double real;  
    double imag;  
};  
//下面定义友元函数  
  
//相加： (a+bi)+(c+di)=(a+c)+(b+d)i.  
Complex operator+(Complex &c1,Complex &c2)      
{    
    Complex c;     
    c.real=c1.real+c2.real;    
    c.imag=c1.imag+c2.imag;    
    return c;    
}    
Complex operator+(Complex &c1,const double &d)  
{  
    return Complex(c1.real+d, c1.imag);  
}  
Complex operator+(const double &d, Complex &c1)  
{  
    return Complex(c1.real+d, c1.imag);  
}  
   
//相减：(a+bi)-(c+di)=(a-c)+(b-d)i.        
Complex operator-(Complex &c1,Complex &c2)        
{        
    Complex c;        
   c.real=c1.real-c2.real;        
    c.imag=c1.imag-c2.imag;        
      return c;        
}        
Complex operator-(Complex &c2)  
{  
    return Complex(-c2.real, -c2.imag);  

}  
//相乘：(a+bi)(c+di)=(ac－bd)+(bc+ad)i.    
     
Complex operator*(Complex &c1,Complex &c2)   
{        
    Complex  c;        
    c.real=c1.real*c2.real-c1.imag*c2.imag;        
    c.imag=c1.imag*c2.real+c1.real*c2.imag;        
    return c;        
}              
//相除：(a+bi)/(c+di)=(ac+bd)/(c^2+d^2) +(bc-ad)/(c^2+d^2)i    
Complex operator/(Complex &c1,Complex &c2)   
{        
    Complex  c;        
    double d=c2.real*c2.real+c2.imag*c2.imag;    
    c.real=(c1.real*c2.real+c1.imag*c2.imag)/d;     //除法溢出    
    c.imag=(c1.imag*c2.real-c1.real*c2.imag)/d;        
    return c;        
}     
       
void display(Complex &c2)      
{    
    cout<<"("<<c2.real<<","<<c2.imag<<"i)"<<endl;    
}    
  
int main()  
{  
    Complex c1(3,4),c2(5,-10),c3,c4;  
    cout<<"c1=";  
   display(c1);  
    cout<<"c2=";  
    display(c2);  
    c3=c1+c2;  
    cout<<"c1+c2=";  
    display(c3);  
    c3=c1-c2;  
    cout<<"c1-c2=";  
    display(c3);  
    c3=c1*c2;  
    cout<<"c1*c2=";  
    display(c3);  
    c3=c1/c2;  
    cout<<"c1/c2=";  
    display(c3);  
    c4=c1+3.14;  
    cout<<"c1+3.14=";  
    display(c4);  
    c4=3.14+c1;  
    cout<<"3.14+c1=";  
    display(c4);  
        c4=-c1;  
    cout<<"-c1=";  
    display(c4);  
    system("pause"); 
     return 0;
 }