Formula to check if an angle is between 2 others?

[stockgoblin42]

given the 360 rollover, what formula can check if an angle is in the shorter distance between 2 others?

[Jakobshavn]

Suppose the two angles are exactly 180 degrees apart?

[stockgoblin42]

then it's between them alright! ...and no, in my data, it can't be them.

p.s. the two angles go to two adjacent points on a pentagon from it's center so the 180 case is impossible. The third point to check is a star arm outer point.

[stockgoblin42]

ex) which angle of:

262.2254253
86.49984542
272.6640642
97.43343078
317.2262854

is between the closer distance of:

57.82515101
273.6641175


answer: 317.2262854

how?

[Jakobshavn]

Is my thinking correct??

If the difference between the smaller angle and the larger angle is less than 180 degrees, the target angle must be between the values.
If the difference between the smaller angle and the larger angle is greater than 180 degrees, then the target angle must either be between the larger and 360 or between the smaller and zero.

[stockgoblin42]

get shorter distance between the 2 points
get shortest distances to 2 points from each canidate, add those 2 distances and the total that matches the shorter distance between the 2 points is it

booyah!