import random
from collections import namedtuple
from enum import Enum, auto

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


class Side(Enum):
    ON = auto()
    ABOVE = auto()
    BELOW = auto()


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 Side.ON
    elif y > a * x + b:
        return Side.ABOVE
    return Side.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