如何将浮点数四舍五入到某个小数位? [英] How to round a floating point number up to a certain decimal place?

问题描述

假设我有 8.8333333333333339，我想将其转换为 8.84.如何在 Python 中完成此操作?

round(8.8333333333333339, 2) 给出 8.83 而不是 8.84.我是 Python 或一般编程新手.

我不想把它打印成字符串，结果会被进一步使用.有关该问题的更多信息，请查看

从示例输出看来，他们四舍五入每月付款，这就是许多人所说的上限函数的效果.这意味着每个月支付的总金额略多于 ¹⁄₁₂.这使得最后的付款比平时少了一点——剩下的未付余额只有 8.76.

使用正常舍入产生 8.83 的每月付款和 8.87 稍高的最终付款同样有效.然而，在现实世界中，人们通常不喜欢他们的付款增加，因此将每笔付款四舍五入是常见的做法——它也可以更快地将钱还给贷方.

Suppose I have 8.8333333333333339, and I want to convert it to 8.84. How can I accomplish this in Python?

round(8.8333333333333339, 2) gives 8.83 and not 8.84. I am new to Python or programming in general.

I don't want to print it as a string, and the result will be further used. For more information on the problem, please check Tim Wilson's Python Programming Tips: Loan and payment calculator.

解决方案

8.833333333339 (or 8.833333333333334, the result of 106.00/12) properly rounded to two decimal places is 8.83. Mathematically it sounds like what you want is a ceiling function. The one in Python's math module is named ceil:

import math

v = 8.8333333333333339
print(math.ceil(v*100)/100)  # -> 8.84

Respectively, the floor and ceiling functions generally map a real number to the largest previous or smallest following integer which has zero decimal places — so to use them for 2 decimal places the number is first multiplied by 10² (or 100) to shift the decimal point and is then divided by it afterwards to compensate.

If you don't want to use the math module for some reason, you can use this (minimally tested) implementation I just wrote:

def ceiling(x):
    n = int(x)
    return n if n-1 < x <= n else n+1

How all this relates to the linked Loan and payment calculator problem:

From the sample output it appears that they rounded up the monthly payment, which is what many call the effect of the ceiling function. This means that each month a little more than ¹⁄₁₂ of the total amount is being paid. That made the final payment a little smaller than usual — leaving a remaining unpaid balance of only 8.76.

It would have been equally valid to use normal rounding producing a monthly payment of 8.83 and a slightly higher final payment of 8.87. However, in the real world people generally don't like to have their payments go up, so rounding up each payment is the common practice — it also returns the money to the lender more quickly.

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