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Now someone needs to start a project to find a large, documented subset for which ANGLE(ToGL(x)) = x so we can all get rid of this historical two-standards-that-do-exactly-the-same-thing nonsense.

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All that reminds me of is this: https://xkcd.com/927/

Relevant XKCD: http://dynamic.xkcd.com/random/comic/

Yes, one must be careful not to define a new standard, but rather to observe a strict subset of both for which that "equation" holds.

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