浮点等价？ [英] Floating point equivalence?

问题描述

我希望能够比较两个双打忽略一个可能的precision损失。有没有一种方法，已经处理这种情况？

I want to be able to compare two doubles disregarding a possible precision loss. Is there a method already that handles this case?

如果不是，是否有一个门槛/准则知道多少是两个双打之间的充分等价？

If not, is there a threshold/guideline to know how much is an adequate equivalence between two doubles?

推荐答案

阈值是完全依赖于问题本身。对于一些问题，你可能会考虑1.001等于1.002和一些问题，你可能需要一个更小的门槛。

The threshold is completely dependent to the problem itself. For some problems, you might consider 1.001 equal to 1.002 and for some problems, you might need a much smaller threshold.

一般己技巧是：

Math.Abs(a - b) < some_epsilon    // `a` is roughly equivalent to `b`

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