#include #include // 用于比较误差 using namespace std;

// 计算x的三次方根的函数，使用牛顿迭代法 double cbrt(double x, double tolerance) { if (x == 0) { return 0; }

double guess = x / 3; // 初始猜测值
double next_guess;

do {
    next_guess = (2 * guess + x / (guess * guess)) / 3; // 牛顿迭代公式
    if (abs(next_guess - guess) < tolerance) { // 如果误差小于容忍度，则停止迭代
        return next_guess;
    }
    guess = next_guess;
} while (true);

}

int main() { double x; cout << "Enter a number to calculate its cube root: "; cin >> x;

double tolerance = 1e-10; // 设置误差容忍度
double result = cbrt(x, tolerance);

if (result != -1) {

    cout << "The cube root of " << x << " is approximately " << result << endl;
    cout << "Standard library result: " << cbrt(x) << endl; // 使用标准库函数进行比较
}

return 0;

}