from PIL import ImageDraw
from PIL import Image

import numpy as np


def are_homotopic(map_array, trajectory, other_trajectory):

    polyline = trajectory.vertices.copy()
    polyline.extend(reversed(other_trajectory.vertices))

    height, width = map_array.shape

    img = Image.new('L', (height, width), 0)
    ImageDraw.Draw(img).polygon(polyline, outline=1, fill=1)

    a = (np.array(img) * map_array).sum()
    if a >= 1:
        return False
    else:
        return True