A related problem with continuity:

atan(A/B) and -atan(B/A), they differ by a constant, but
their continuity is different, if A has no sign change
(always positive), then it's better to be put in denominator.
I think function "tantrick" can utilize that.

This is a big source of discontinuity, and my solution
mentioned in previous post will make many discontinous
function continous and vice versa, I don't think this
will be a problem?

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