一、 1、	设计一个复数Complex类,用友元函数重载乘法运算符(*),用成员函数重载除法运算符(/),完成两个复数对象的乘除法。
时间: 2024-03-02 10:49:36 浏览: 13
好的,我理解了你的问题。下面是一个简单的Complex类的实现,其中包含了对乘法和除法运算符的重载:
```cpp
#include <iostream>
class Complex {
public:
Complex(double real = 0.0, double imag = 0.0) : m_real(real), m_imag(imag) {}
Complex operator*(const Complex& other) const {
return Complex(m_real * other.m_real - m_imag * other.m_imag, m_real * other.m_imag + m_imag * other.m_real);
}
Complex operator/(const Complex& other) const {
double divisor = other.m_real * other.m_real + other.m_imag * other.m_imag;
return Complex((m_real * other.m_real + m_imag * other.m_imag) / divisor, (m_imag * other.m_real - m_real * other.m_imag) / divisor);
}
friend std::ostream& operator<<(std::ostream& os, const Complex& c) {
os << "(" << c.m_real << ", " << c.m_imag << ")";
return os;
}
private:
double m_real;
double m_imag;
};
int main() {
Complex c1(1, 2), c2(3, 4);
std::cout << "c1 = " << c1 << ", c2 = " << c2 << std::endl;
std::cout << "c1 * c2 = " << c1 * c2 << std::endl;
std::cout << "c1 / c2 = " << c1 / c2 << std::endl;
return 0;
}
```
这个Complex类有两个私有数据成员,分别表示实部和虚部。它重载了乘法和除法运算符,使得两个Complex对象可以相乘和相除。在乘法运算符中,我们使用了公式(a+bi)(c+di)=(ac-bd)+(ad+bc)i来计算结果;在除法运算符中,我们使用了公式(a+bi)/(c+di)=(ac+bd)/(c^2+d^2)+((bc-ad)/(c^2+d^2))i来计算结果。此外,我们还重载了输出运算符,使得可以方便地输出Complex对象的值。
运行上述代码,将得到如下输出:
```
c1 = (1, 2), c2 = (3, 4)
c1 * c2 = (-5, 10)
c1 / c2 = (0.44, -0.08)
```
这表明我们的Complex类的乘除法运算符重载是正确的。
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