今天写毕业设计的时候遇到了一个级数展开式,里面包含着一个求一个数组的阶乘运算,这里特来记录一下。

# -*- coding:utf-8 -*-
"""
author: 15025
time: 2021/7/18 17:58
software: pycharm

description:
    calculate factorial of a given number
"""


class pythonstudy:
    @staticmethod
    def factorial(n):
        num = 1
        for i in range(1, n + 1):
            num *= i

        return num


if __name__ == "__main__":
    main = pythonstudy()
    result = main.factorial(4)
    print("the final result is: ")
    print(result)
"""
the final result is: 
24
"""

可以看到,我们正确地获得了4的阶乘值24。那么如果我们需要求一个数组中各个元素的阶乘值呢?

# -*- coding:utf-8 -*-
"""
author: 15025
time: 2021/7/18 17:58
software: pycharm

description:
    calculate factorial of a given array
"""
import numpy as np

class numpystudy:
    @staticmethod
    def factorial(arr):
        length = len(arr)
        num_arr = np.ones(length)
        for index, value in enumerate(arr):
            for i in range(1, value + 1):
                num_arr[index] *= i

        return num_arr


if __name__ == "__main__":
    main = numpystudy()
    array = np.arange(11)
    result = main.factorial(array)
    print("the final result is: ")
    print(result)
"""
the final result is: 
[1.0000e+00 1.0000e+00 2.0000e+00 6.0000e+00 2.4000e+01 1.2000e+02
 7.2000e+02 5.0400e+03 4.0320e+04 3.6288e+05 3.6288e+06]
"""

这里我们可以看到我们成功获得了数组[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]中对应的的各个元素值的阶乘值。

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