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

import matplotlib.pyplot as plt
import numpy as np

Point = namedtuple('Point', 'x y')
Vector = namedtuple('Vector', 'x y')


def gen_point(lower: int = 0, upper: int = 10) -> Point:
    a = random.uniform(lower, upper)
    b = random.uniform(lower, upper)

    #x_i = random.uniform(lower, upper)
    #p_i = Point(x_i, a * x_i + b)
    return Point(a, b)


def display(points: Set[Point], hull: Set[Point]):
    x = [point.x for point in points]
    y = [point.y for point in points]

    h_x = [point.x for point in hull]
    h_y = [point.y for point in hull]

    plt.plot(h_x, h_y, 'ro')

    plt.scatter(x, y)
    plt.show()


def display_line_only(points: Set[Point], slope: int, intercept: int, line_points: Set[Point]):
    x = [point.x for point in points]
    y = [point.y for point in points]

    plt.scatter(x, y)

    # Plot a line from slope and intercept
    axes = plt.gca()
    x_vals = np.array(axes.get_xlim())
    y_vals = intercept + slope * x_vals

    for point in line_points:
        plt.plot(point.x, point.y, 'go')

    plt.plot(x_vals, y_vals, '--')

    plt.show()


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