How to sort points clockwise or counterclockwise?

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I'm using inpolygon function and it requires points to be sorted clockwise and sometimes counterclockwise, how I can do that about the mean point?!
I've attached the data, and here is a link for inpolygon function:
  1 Comment
Matt J
Matt J on 15 Sep 2022
Do you intend to fit a rectangle to these points? Otherwise, they don't form a clear polygon.

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Answers (1)

John D'Errico
John D'Errico on 15 Sep 2022
Edited: John D'Errico on 15 Sep 2022
Can you compute the polar coordinates angle, around that mean? (Hint: use atan2. Don't forget to subtract off the mean FIRST.)
Can you now use sort? (Yes.) A clockwise sort just implies DECREASING order of the polar angle? An increasing sort would be a clockwise rotation.
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youssef hany
youssef hany on 15 Sep 2022
which one is clockwise increasing or decreasing sorting?

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