Should we compare floating point numbers for equality against a *relative* error?

Question

So far I\'ve seen many posts dealing with equality of floating point numbers. The standard answer to a question like \"how should we decide if x and y are equal?\" is

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Answer 1

The problem is that with very big numbers, comparing to epsilon will fail.

Perhaps a better (but slower) solution would be to use division, example:

div(max(a, b), min(a, b)) < eps + 1

Now the 'error' will be relative.