""" Conway's Game of Life implemented in Python. https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life """ from __future__ import annotations from PIL import Image # Define glider example GLIDER = [ [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], ] # Define blinker example BLINKER = [[0, 1, 0], [0, 1, 0], [0, 1, 0]] def new_generation(cells: list[list[int]]) -> list[list[int]]: """ Generates the next generation for a given state of Conway's Game of Life. >>> new_generation(BLINKER) [[0, 0, 0], [1, 1, 1], [0, 0, 0]] """ next_generation = [] for i in range(len(cells)): next_generation_row = [] for j in range(len(cells[i])): # Get the number of live neighbours neighbour_count = 0 if i > 0 and j > 0: neighbour_count += cells[i - 1][j - 1] if i > 0: neighbour_count += cells[i - 1][j] if i > 0 and j < len(cells[i]) - 1: neighbour_count += cells[i - 1][j + 1] if j > 0: neighbour_count += cells[i][j - 1] if j < len(cells[i]) - 1: neighbour_count += cells[i][j + 1] if i < len(cells) - 1 and j > 0: neighbour_count += cells[i + 1][j - 1] if i < len(cells) - 1: neighbour_count += cells[i + 1][j] if i < len(cells) - 1 and j < len(cells[i]) - 1: neighbour_count += cells[i + 1][j + 1] # Rules of the game of life (excerpt from Wikipedia): # 1. Any live cell with two or three live neighbours survives. # 2. Any dead cell with three live neighbours becomes a live cell. # 3. All other live cells die in the next generation. # Similarly, all other dead cells stay dead. alive = cells[i][j] == 1 if ( (alive and 2 <= neighbour_count <= 3) or not alive and neighbour_count == 3 ): next_generation_row.append(1) else: next_generation_row.append(0) next_generation.append(next_generation_row) return next_generation def generate_images(cells: list[list[int]], frames) -> list[Image.Image]: """ Generates a list of images of subsequent Game of Life states. """ images = [] for _ in range(frames): # Create output image img = Image.new("RGB", (len(cells[0]), len(cells))) pixels = img.load() # Save cells to image for x in range(len(cells)): for y in range(len(cells[0])): colour = 255 - cells[y][x] * 255 pixels[x, y] = (colour, colour, colour) # Save image images.append(img) cells = new_generation(cells) return images if __name__ == "__main__": images = generate_images(GLIDER, 16) images[0].save("out.gif", save_all=True, append_images=images[1:])