定义一个复数类 complex

在编程中，定义一个复数类`complex`通常是为了处理复数的数学运算。复数是由实部和虚部组成的数，通常表示为 a + bi 的形式，其中 a 是实部，b 是虚部，i 是虚数单位，满足 i² = -1。一个简单的复数类定义可能包含以下内容：

public class Complex {
    // 实部和虚部属性
    private double real;
    private double imaginary;

    // 构造方法
    public Complex(double real, double imaginary) {
        this.real = real;
        this.imaginary = imaginary;
    }

    // 实部获取方法
    public double getReal() {
        return real;
    }

    // 虚部获取方法
    public double getImaginary() {
        return imaginary;
    }

    // 复数加法
    public Complex add(Complex other) {
        return new Complex(this.real + other.real, this.imaginary + other.imaginary);
    }

    // 复数减法
    public Complex subtract(Complex other) {
        return new Complex(this.real - other.real, this.imaginary - other.imaginary);
    }

    // 复数乘法
    public Complex multiply(Complex other) {
        double newReal = this.real * other.real - this.imaginary * other.imaginary;
        double newImaginary = this.real * other.imaginary + this.imaginary * other.real;
        return new Complex(newReal, newImaginary);
    }

    // 复数除法
    public Complex divide(Complex other) {
        double denominator = other.real * other.real + other.imaginary * other.imaginary;
        double newReal = (this.real * other.real + this.imaginary * other.imaginary) / denominator;
        double newImaginary = (this.imaginary * other.real - this.real * other.imaginary) / denominator;
        return new Complex(newReal, newImaginary);
    }

    // 复数的字符串表示
    @Override
    public String toString() {
        return "(" + real + " + " + imaginary + "i)";
    }
}

这个类定义了一个复数的结构和基本操作，包括加、减、乘、除运算以及复数的字符串表示方法。使用这个类可以创建复数对象，并执行基本的复数运算。