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这似乎是一个重复的问题,也许确实如此,但我检查了许多其他来源,但似乎没有一个解决方案有效。我要计算的数字是 999,999^999,999,而且它毫无意义地大,但我已经尝试了一段时间了。我想将结果写入文本文件。我通常会收到溢出错误,在尝试解决另一个问题后,我开始收到不同的溢出消息。有什么办法可以计算出这个数字吗?如果python不能做到这一点,还有别的吗?

我此时的代码:

from decimal import Decimal

#Attempt 2 (Attempt 1 was just print(999999**999999))
a = Decimal(999999**999)
a = a**(2) #Not close enough. 2.0002895717 would be perfect, but that would cause another Overflow: "OverflowError: int too large to convert to float"
print(a)
open("number.txt","x").write(str(a))

#Attempt 3, I tried breaking down the power into it's square root, and then that into it's square roots
massiveNumber = Decimal(999999**31.6227608)
massiveNumber = Decimal(massiveNumber**Decimal(31.6227608))
massiveNumber = Decimal(massiveNumber**Decimal(31.6227608))
massiveNumber = Decimal(massiveNumber**Decimal(31.6227608))

open("number.txt","w").write(str(massiveNumber))

错误:

Traceback (most recent call last):
  File "unknowablenumber.py", line 13, in <module>
    massiveNumber = Decimal(massiveNumber**Decimal(31.6227608))
decimal.Overflow: [<class 'decimal.Overflow'>]
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1 回答 1

3

是的,decimal可以准确、快速地完成,但您需要提高它使用的内部精度:

import decimal
with decimal.localcontext() as ctx:
    ctx.prec = decimal.MAX_PREC
    ctx.Emax = decimal.MAX_EMAX
    ctx.Emin = decimal.MIN_EMIN

    n = decimal.Decimal(999999)
    huge = n ** n
    s = str(huge)
    print(len(s))
    print (s[:10], "...", s[-10:])

这显示:

5999994
3678796251 ... 9998999999

作为健全性检查,

>>> import math
>>> math.log10(999999) * 999999
5999993.565705735
>>> 10 ** .565705735
3.67879624904532
>>> pow(999999, 999999, 10**10)
9998999999

所以结果 fromdecimal有正确的位数,前导数字匹配,最后 10 位数字完全正确。

于 2020-06-03T17:41:59.177 回答