import random
from collections import namedtuple

Point = namedtuple('Point', ['x', 'y'])

def sidedness(p1, p2, p3):
    eps = 0.00000001
    y = p1.y*(p3.x - p2.x)
    x = p1.x
    a = (p3.y - p2.y)
    b = p3.y*(p3.x - p2.x) - a*p3.x

    if y - eps < a*x + b < y + eps:
        return "ON"
    elif y > a*x + b:
        return "ABOVE"
    else:
        return "BELOW"




# test


p1 = Point(4,4)
p2 = Point(0,0)
p3 = Point(5,2)



#print(sidedness(p1, p2, p3))


def genPoint():
    a = random.uniform(1, 10)
    b = random.uniform(1, 10)

    p = []
    for i in range(3):
        x_i = random.uniform(1, 10)
        p_i = Point(x_i, a*x_i + b)
        p.append(p_i)
    return p

hej = genPoint()
print(hej)

print(sidedness(*hej))


def graham_scan():
    3