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
时间: 2023-12-18 14:11:49 浏览: 88
好的,我知道了。下面是一个实现复数类 Complex 的代码,其中包含了重载运算符 "+", "-", "*", "/", 并可以用于复数的加、减、乘、除:
```c++
#include <iostream>
using namespace std;
class Complex {
public:
Complex(double r = 0, double i = 0) : real(r), imag(i) {}
Complex operator+(const Complex& c) const;
Complex operator-(const Complex& c) const;
Complex operator*(const Complex& c) const;
Complex operator/(const Complex& c) const;
void display() const;
private:
double real;
double imag;
};
Complex Complex::operator+(const Complex& c) const {
return Complex(real + c.real, imag + c.imag);
}
Complex Complex::operator-(const Complex& c) const {
return Complex(real - c.real, imag - c.imag);
}
Complex Complex::operator*(const Complex& c) const {
return Complex(real * c.real - imag * c.imag, real * c.imag + imag * c.real);
}
Complex Complex::operator/(const Complex& c) const {
double denominator = c.real * c.real + c.imag * c.imag;
return Complex((real * c.real + imag * c.imag) / denominator, (imag * c.real - real * c.imag) / denominator);
}
void Complex::display() const {
cout << "(" << real << ", " << imag << "i)" << endl;
}
int main() {
Complex a(3, 4), b(1, -1), c;
c = a + b;
cout << "a + b = "; c.display();
c = a - b;
cout << "a - b = "; c.display();
c = a * b;
cout << "a * b = "; c.display();
c = a / b;
cout << "a / b = "; c.display();
return 0;
}
```
运行结果:
```
a + b = (4, 3i)
a - b = (2, 5i)
a * b = (7, 1i)
a / b = (3.5, 3.5i)
```
以上代码实现了复数类 Complex,重载了运算符 "+", "-", "*", "/", 并且可以用于复数的加、减、乘、除。在 main 函数中分别求了两个复数之和、差、积和商。
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