check if two segments on the same circle overlap / intersect

Question

Given two circle segments of the same circle: A=[a1, a2] and B=[b1, b2], with:

• a1, a2, b1, b2 values in degree between -inf and +inf
• a1 <= a2 ; b1

Answer 1

As @admaoldak mentioned, normalize the degrees first:

a1_norm = a1 % 360
a2_norm = a2 % 360
b1_norm = b1 % 360
b2_norm = b2 % 360

Now to check if b1 is within (a1,a2),

def intersect(b, as, ae
    Intersect = False
    If as > ae:
        if b >= as or b <= ae:
            return True
    Else:
        if b>=as and b<=ae:
            return True
    return False

Final answer is:

intersect(b1_norm,a1_norm,a2_norm)||intersect(b2_norm,a1_norm,a2_norm)||
intersect(a1_norm,b1_norm,b2_norm)||intersect(a2_norm,b1_norm,b2_norm)