复数类--重载运算符+,-,*,/

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#运算符重载

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本文介绍了一个C++实现的复数类Complex，该类通过重载加、减、乘、除运算符来支持复数的基本数学运算。文章提供了完整的源代码示例，演示了如何使用这些运算符来计算两个复数的和、差、积和商。

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Problem B: C++习题复数类--重载运算符+,-,*,/

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Description

定义一个复数类Complex，重载运算符“+”,“-”,“*”,“/”，使之能用于复数的加、减、乘、除。运算符重载函数作为Complex类的成员函数。编写程序，分别求两个复数之和、差、积和商。

Input

两个复数

Output

两个复数之和、差、积和商

Sample Input

3 45 -10

Sample Output

c1+c2=(8.00,-6.00i)c1-c2=(-2.00,14.00i)c1*c2=(55.00,-10.00i)c1/c2=(-0.20,0.40i)

HINT

#include <iostream>
#include <iomanip>
using namespace std;
class Complex
{
public:
    Complex();
    Complex(double r,double i);
    Complex operator+(Complex &c2);
    Complex operator-(Complex &c2);
    Complex operator*(Complex &c2);
    Complex operator/(Complex &c2);
    void display();
private:
    double real;
    double imag;
};
Complex::Complex()
{
}
 
/* C++代码 */
Complex Complex::operator -(Complex &c2)
{
    Complex c;
    c.real=real-c2.real;
    c.imag=imag-c2.imag;
    return c;
}
Complex Complex::operator +(Complex &c2)
{
    Complex c;
    c.real=real+c2.real;
    c.imag=imag+c2.imag;
    return c;
}
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;
}
Complex Complex::operator /(Complex &c2)
{
    Complex c;
    c.real=(real*c2.real+imag*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag);
    c.imag=(imag*c2.real-real*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag);
    return c;
}
 
 
 
     
 
 
 
 
 
 
 
Complex::Complex(double r,double i):real(r),imag(i){}
 
void Complex::display()
{
     
    cout<<"("<<real<<","<<imag<<"i)"<<endl;
}
 
int main()
{
    double real,imag;
    cin>>real>>imag;
    Complex c1(real,imag);
    cin>>real>>imag;
    Complex c2(real,imag);
    cout<<setiosflags(ios::fixed);
    cout<<setprecision(2);
    Complex 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();
    return 0;
}