确定一个浮点数是不是一个分数的非理性 [英] Determine if a float number is irrational of a fraction

问题描述

我有一个随机的浮点数，我必须确定它是一个无理数，如√2或像123/321这样的分数。他们都代表像一个无尽的数字在任何地方，但有什么方法可以肯定地说数字是一个分数还是非理性？

谢谢！ p>

解决方案

所有浮点数数字是合理的，因为尾数具有固定长度。如果你有一个你需要匹配的特定的数字列表，你可以比较随机数与数字上的数字。以设定的浮点精度列出，但请记住，由于截断或四舍五入，您将获得误报。

I have a random float number and I have to determine if it is an irrational number like √2 or a fraction like 123/321. Both of them are represented like an endless set of numbers anywhere but is there any way to definitely say whether a number is a fraction or it's irrational?

Thank you!

解决方案

All floating point numbers are rational because the mantissa has a fixed length. Irrational numbers stored in floating point are truncated into rational numbers.

If you have a specific list of numbers you need to match, you can compare the random number to numbers on the list at a set floating point precision, but do keep in mind that you will get false positives due to truncation or rounding.

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