java - 计算平方根和立方根的递归算法

Question

当我运行我的代码时，有时可以正常工作，但其他时候我会收到此错误:

Exception in thread "main" java.lang.StackOverflowError       
at squareroot.SquareRoot.GetSquareRoot (SquareRoot.java: 9)   
at squareroot.SquareRoot.GetSquareRoot (SquareRoot.java: 13)   
at squareroot.SquareRoot.GetSquareRoot (SquareRoot.java: 13)`

我正在检查我的代码，但没有进入无限循环，请问我该如何解决这个问题？谢谢。

public static double GetSquareRoot(double n, double low, double high) {
    double sqrt = (low + high) / 2;
    if (sqrt*sqrt > n)
        return GetSquareRoot(n, low, sqrt);
    if (sqrt*sqrt < n)
        return GetSquareRoot(n, sqrt, high);
    return sqrt;
}
public static double Sqrt(double n){
    return GetSquareRoot(n, 0, n);
}

public static double GetCubicRoot(double n, double low, double high) {
    double cbrt = (low + high) / 2;
    if (cbrt*cbrt*cbrt > n)
        return GetCubicRoot(n, low, cbrt);
    if (cbrt*cbrt*cbrt < n)
        return GetCubicRoot(n, cbrt, high);
    return cbrt;
}
public static double Cbrt(double n) {
    return GetCubicRoot(n, 0, n);
}

public static void main(String[] args) {
    Scanner Input = new Scanner(System.in);

    double n = Input.nextDouble();
    double sqrt = Sqrt(n);
    double cbrt = Cbrt(n);

    System.out.println("Raiz cuadrada igual a: "+ sqrt);        
    System.out.println("Raiz cubica igual a: "+ cbrt);  

}

Answer 1

您的结果永远不可能达到结束条件，因为将数字相乘不太可能产生准确的数字，您必须引入误差范围，因为平方根通常不精确，并且 float 算术由于 float 而使用近似值积分限制。

public static double GetSquareRoot(double n, double low, double high) {
    double errorMargin = 0.001;        
    double sqrt = (low + high) / 2;
    double diff = sqrt*sqrt - n;
    if ( diff > errorMargin)
        return GetSquareRoot(n, low, sqrt);
    if ( -diff > errorMargin)
        return GetSquareRoot(n, sqrt, high);
    return sqrt;
}