from .base import BaseCalculator
import math

class AdvancedCalculator(BaseCalculator):
    @staticmethod
    def power(a, b):
        return a ** b

    @staticmethod
    def sqrt(a):
        if a < 0:
            raise ValueError("负数不能开平方")
        return math.sqrt(a)

    @staticmethod
    def factorial(n):
        if not isinstance(n, int) or n < 0:
            raise ValueError("阶乘仅支持非负整数")
        if n == 0:
            return 1
        result = 1
        for i in range(1, n + 1):
            result *= i
        return result

    @staticmethod
    def is_prime(n):
        if n <= 1:
            return False
        if n == 2:
            return True
        if n % 2 == 0:
            return False
        for i in range(3, int(math.sqrt(n)) + 1, 2):
            if n % i == 0:
                return False
        return True