a = (5,6)
b = (3,2)

if (a[0] > 0 & b[0] > 0) | (a[0] < 0 & b[0] < 0):
    #both in same half
    if a[0] > 0:
        if a[1] > b[1]:
            return 'clockwise'
        else:
            return 'anticlockwise'
    else:
        if a[1] < b[1]:
            return 'clockwise'
        else:
            return 'anticlockwise'

elif a[0] == b[0]:
    #both at same height, need to check y coordinates
else:
    #in opposite halves