[okl]

Relative tolerance becomes problematic though if your numbers are very close to zero. (https://randomascii.wordpress.com/2012/02/25/comparing-float...)

[adgjlsfhk1]

Which is why it also lets you specify an absolute tolerance. That's not done by default because there isn't a good way to choose one (unlike with relative tolerance).

[longemen3000]

yes, it is a common problem, it is acknowledged in the function's documentation: https://docs.julialang.org/en/v1/base/math/#Base.isapprox