java复数类的实现及运算实验总结

Java复数类的实现及运算实验总结：

1. 复数类的实现

为了表示复数，我们可以创建一个名为Complex的类。该类应该有两个实例变量：一个表示实部，另一个表示虚部。我们还需要实现一些方法来执行基本的数学运算，如加法、减法、乘法和除法。

下面是一个简单的Java复数类的实现：

public class Complex {
    private double real;
    private double imaginary;

    public Complex(double real, double imaginary) {
        this.real = real;
        this.imaginary = imaginary;
    }

    public double getReal() {
        return real;
    }

    public double getImaginary() {
        return imaginary;
    }

    public Complex add(Complex other) {
        double newReal = this.real + other.real;
        double newImaginary = this.imaginary + other.imaginary;
        return new Complex(newReal, newImaginary);
    }

    public Complex subtract(Complex other) {
        double newReal = this.real - other.real;
        double newImaginary = this.imaginary - other.imaginary;
        return new Complex(newReal, newImaginary);
    }

    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);
    }

    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);
    }

    @Override
    public String toString() {
        return String.format("%.2f + %.2fi", real, imaginary);
    }
}

2. 复数运算实验

我们可以编写一些简单的测试来验证我们的复数类是否运行良好。例如，我们可以创建两个复数并将它们相加：

public static void main(String[] args) {
    Complex c1 = new Complex(1, 2);
    Complex c2 = new Complex(3, 4);
    Complex result = c1.add(c2);
    System.out.println(result);
}

输出结果应该为“4.00 + 6.00i”。

我们还可以测试减法、乘法和除法：

public static void main(String[] args) {
    Complex c1 = new Complex(1, 2);
    Complex c2 = new Complex(3, 4);
    Complex addResult = c1.add(c2);
    Complex subtractResult = c1.subtract(c2);
    Complex multiplyResult = c1.multiply(c2);
    Complex divideResult = c1.divide(c2);
    System.out.println("Addition: " + addResult);
    System.out.println("Subtraction: " + subtractResult);
    System.out.println("Multiplication: " + multiplyResult);
    System.out.println("Division: " + divideResult);
}

输出结果应该为：

Addition: 4.00 + 6.00i
Subtraction: -2.00 - 2.00i
Multiplication: -5.00 + 10.00i
Division: 0.44 + 0.08i

3. 总结

我们已经成功地实现了一个Java复数类，并测试了它的基本数学运算。通过创建一个复数类，我们可以更轻松地进行复数计算，并且可以更容易地将复数与其他代码集成。