An angle between $[0, 360°[$ or $[0, 2\pi[$ is called a normalized angle. But how is called one expressed between $[-180, 180°[$ or $[-\pi, \pi[$?

Question

For a computational calculation, I need to express my resulting angles between $[-\pi, \pi[$.

I am in search of an API easing me reaching this expression, when it happens that my results are outside this interval.
But I don't know what term querying over search engines for such presentation of an angle result.

I know that an angle expressed between $[0, 360°[$ or $[0, 2\pi[$ is called a normalized angle.

But how is called an angle expressed between $[-180, 180°[$ or $[-\pi, \pi[$?
Thanks!

I'd call that normalized as well - just with a different notion of normalization. — Hagen von Eitzen, Nov 08 '23 at 09:35
But these notions of normalization, that are two here, don't have each one name? — Marc Le Bihan, Nov 08 '23 at 09:38

score 1 · Accepted Answer · answered Nov 08 '23 at 12:02

If you need to name the type of normalization, I would suggest calling the one you consider standard positive normalization and the one you are seeking to name balanced normalization. Usually, authors just choose one type and stick to it throughout any given piece of work. Because of this, there is not enough usage for accepted distinguishing terms to arise.

An angle between $[0, 360°[$ or $[0, 2\pi[$ is called a normalized angle. But how is called one expressed between $[-180, 180°[$ or $[-\pi, \pi[$?

1 Answers1