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langton_extension.py
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langton_extension.py
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import matplotlib
import matplotlib.pyplot as plt
import matplotlib.patches as patches
class Tile:
def __init__(self, position):
self.color = 'white'
self.patch = patches.Rectangle(position, 1, 1, linewidth=0, facecolor=self.color)
self.patch.set_zorder(1)
self.patch.set_animated(True)
def set_color(self, color):
self.color = color
self.redraw()
def redraw(self):
self.patch.set_color(self.color)
class Ant:
def __init__(self):
# 0 north, 1 east, 2 south, 3 west
self.direction = 1
self.x = 0
self.y = 0
self.patch = patches.FancyArrowPatch((0, 0), (0, 0), linewidth=0, mutation_scale=50, facecolor='r')
self.patch.set_zorder(2)
self.patch.set_animated(True)
def turn(self, tile):
if tile.color == 'black':
turn_dir = 1
else:
turn_dir = -1
self.direction = (self.direction + turn_dir) % 4
self.redraw()
def recolor_tile(self, tile):
if tile.color == 'black':
tile.set_color('white')
else:
tile.set_color('black')
def move(self):
if self.direction == 0:
self.y += 1
elif self.direction == 1:
self.x += 1
elif self.direction == 2:
self.y -= 1
else:
self.x -= 1
self.redraw()
def zoom(self, amount):
self.patch.set_mutation_scale(250 / amount)
def redraw(self):
if self.direction == 0:
start = (self.x + 0.5, self.y + 0.5)
end = (self.x + 0.5, self.y + 0.9)
elif self.direction == 1:
start = (self.x + 0.5, self.y + 0.5)
end = (self.x + 0.9, self.y + 0.5)
elif self.direction == 2:
start = (self.x + 0.5, self.y + 0.5)
end = (self.x + 0.5, self.y + 0.1)
else:
start = (self.x + 0.5, self.y + 0.5)
end = (self.x + 0.1, self.y + 0.5)
self.patch.set_positions(start, end)
def get_tile(axes, tiles, position):
if position in tiles:
return tiles[position]
new_tile = Tile(position)
axes.add_patch(new_tile.patch)
tiles[position] = new_tile
return new_tile
def zoom(max, axes, ants):
axes.set_xlim([-max, max])
axes.set_ylim([-max, max])
for ant in ants:
ant.zoom(max)
def redraw_all(figure, ants, tiles):
figure.canvas.draw()
for _, tile in tiles.items():
tile.patch.draw(figure.canvas.get_renderer())
for ant in ants:
ant.patch.draw(figure.canvas.get_renderer())
def main():
matplotlib.rcParams['toolbar'] = 'None'
figure = plt.figure(1, figsize=(5, 5))
figure.canvas.set_window_title('Langton\'s Ant')
axes = figure.add_axes([0, 0, 1, 1])
axes.set_axis_off()
current_max = 5
text_figure = plt.figure(2, figsize=(1, 0.3))
text_figure.canvas.set_window_title('Ticks')
text_axes = text_figure.add_axes([0, 0, 1, 1])
text_axes.set_axis_off()
text = plt.text(0.5, 0.5, '', horizontalalignment='center', verticalalignment='center')
plt.show(block=False)
figure.canvas.draw()
tiles = {}
ants = []
zoom(current_max, axes, ants)
ticks = 0
while (len(plt.get_fignums()) == 2):
text.set_text('Ticks: %d' % ticks)
text_figure.canvas.draw()
if ticks % 1000 == 0:
ant = Ant()
axes.add_patch(ant.patch)
ants.append(ant)
zoom(current_max, axes, ants)
for ant in ants:
max_pos = max(abs(ant.x), abs(ant.y))
if max_pos >= current_max:
current_max *= 2
zoom(current_max, axes, ants)
redraw_all(figure, ants, tiles)
tile = get_tile(axes, tiles, (ant.x, ant.y))
ant.turn(tile)
ant.recolor_tile(tile)
ant.move()
axes.draw_artist(tile.patch)
axes.draw_artist(ant.patch)
figure.canvas.blit(axes.bbox)
figure.canvas.flush_events()
ticks += 1
return
if __name__ == '__main__':
main()