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* Created conways_game_of_life.py * Added new_generation(list[int[int]]) -> list[list[int]] * Added glider example * Added comments and shortened glider example * Fixed index out of bounds error * Added test * Added blinker example * Added ability to generate images * Moved image generating code into a separate function * Added comments * Comment * Reformatted file * Formatting * Removed glider test * Update cellular_automata/conways_game_of_life.py Co-authored-by: John Law <johnlaw.po@gmail.com> * Update conways_game_of_life.py * Update conways_game_of_life.py Co-authored-by: John Law <johnlaw.po@gmail.com>
101 lines
3.1 KiB
Python
101 lines
3.1 KiB
Python
"""
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Conway's Game of Life implemented in Python.
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https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life
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"""
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from __future__ import annotations
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from typing import List
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from PIL import Image
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# Define glider example
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GLIDER = [
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[0, 1, 0, 0, 0, 0, 0, 0],
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[0, 0, 1, 0, 0, 0, 0, 0],
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[1, 1, 1, 0, 0, 0, 0, 0],
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[0, 0, 0, 0, 0, 0, 0, 0],
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[0, 0, 0, 0, 0, 0, 0, 0],
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[0, 0, 0, 0, 0, 0, 0, 0],
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[0, 0, 0, 0, 0, 0, 0, 0],
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[0, 0, 0, 0, 0, 0, 0, 0],
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]
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# Define blinker example
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BLINKER = [[0, 1, 0], [0, 1, 0], [0, 1, 0]]
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def new_generation(cells: List[List[int]]) -> List[List[int]]:
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"""
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Generates the next generation for a given state of Conway's Game of Life.
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>>> new_generation(BLINKER)
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[[0, 0, 0], [1, 1, 1], [0, 0, 0]]
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"""
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next_generation = []
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for i in range(len(cells)):
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next_generation_row = []
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for j in range(len(cells[i])):
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# Get the number of live neighbours
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neighbour_count = 0
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if i > 0 and j > 0:
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neighbour_count += cells[i - 1][j - 1]
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if i > 0:
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neighbour_count += cells[i - 1][j]
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if i > 0 and j < len(cells[i]) - 1:
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neighbour_count += cells[i - 1][j + 1]
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if j > 0:
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neighbour_count += cells[i][j - 1]
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if j < len(cells[i]) - 1:
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neighbour_count += cells[i][j + 1]
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if i < len(cells) - 1 and j > 0:
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neighbour_count += cells[i + 1][j - 1]
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if i < len(cells) - 1:
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neighbour_count += cells[i + 1][j]
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if i < len(cells) - 1 and j < len(cells[i]) - 1:
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neighbour_count += cells[i + 1][j + 1]
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# Rules of the game of life (excerpt from Wikipedia):
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# 1. Any live cell with two or three live neighbours survives.
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# 2. Any dead cell with three live neighbours becomes a live cell.
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# 3. All other live cells die in the next generation.
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# Similarly, all other dead cells stay dead.
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alive = cells[i][j] == 1
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if (
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(alive and 2 <= neighbour_count <= 3)
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or not alive
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and neighbour_count == 3
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):
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next_generation_row.append(1)
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else:
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next_generation_row.append(0)
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next_generation.append(next_generation_row)
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return next_generation
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def generate_images(cells: list[list[int]], frames) -> list[Image.Image]:
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"""
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Generates a list of images of subsequent Game of Life states.
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"""
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images = []
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for _ in range(frames):
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# Create output image
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img = Image.new("RGB", (len(cells[0]), len(cells)))
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pixels = img.load()
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# Save cells to image
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for x in range(len(cells)):
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for y in range(len(cells[0])):
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colour = 255 - cells[y][x] * 255
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pixels[x, y] = (colour, colour, colour)
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# Save image
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images.append(img)
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cells = new_generation(cells)
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return images
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if __name__ == "__main__":
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images = generate_images(GLIDER, 16)
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images[0].save("out.gif", save_all=True, append_images=images[1:])
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