生命游戏其实是个挺有趣的思想实验,算法简单,也不难实现,有趣的是,可以以这个游戏为基础,添加各种规则,进行无限的扩展,来验证一些群体性事件,比如说城市交通、大型聚会之类的,给每一个“生命”添加一些小的行为选择规则,
先测试一下源代码插入效果怎么样。
"""
conway.py
A simple Python/matplotlib implementation of Conway's Game of Life.
Author: Mahesh Venkitachalam
"""
import sys, argparse
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.animation as animation
ON = 255
OFF = 0
vals = [ON, OFF]
def randomGrid(N):
"""returns a grid of NxN random values"""
return np.random.choice(vals, N * N, p=[0.2, 0.8]).reshape(N, N)
def addGlider(i, j, grid):
"""adds a glider with top left cell at (i, j)"""
glider = np.array([[0, 0, 255],
[255, 0, 255],
[0, 255, 255]])
grid[i:i + 3, j:j + 3] = glider
def addGosperGliderGun(i, j, grid):
"""adds a Gosper Glider Gun with top left cell at (i, j)"""
gun = np.zeros(11 * 38).reshape(11, 38)
gun[5][1] = gun[5][2] = 255
gun[6][1] = gun[6][2] = 255
gun[3][13] = gun[3][14] = 255
gun[4][12] = gun[4][16] = 255
gun[5][11] = gun[5][17] = 255
gun[6][11] = gun[6][15] = gun[6][17] = gun[6][18] = 255
gun[7][11] = gun[7][17] = 255
gun[8][12] = gun[8][16] = 255
gun[9][13] = gun[9][14] = 255
gun[1][25] = 255
gun[2][23] = gun[2][25] = 255
gun[3][21] = gun[3][22] = 255
gun[4][21] = gun[4][22] = 255
gun[5][21] = gun[5][22] = 255
gun[6][23] = gun[6][25] = 255
gun[7][25] = 255
gun[3][35] = gun[3][36] = 255
gun[4][35] = gun[4][36] = 255
grid[i:i + 11, j:j + 38] = gun
def update(frameNum, img, grid, N):
# copy grid since we require 8 neighbors for calculation
# and we go line by line
newGrid = grid.copy()
for i in range(N):
for j in range(N):
# compute 8-neghbor sum
# using toroidal boundary conditions - x and y wrap around
# so that the simulaton takes place on a toroidal surface.
total = int((grid[i, (j - 1) % N] + grid[i, (j + 1) % N] +
grid[(i - 1) % N, j] + grid[(i + 1) % N, j] +
grid[(i - 1) % N, (j - 1) % N] + grid[(i - 1) % N, (j + 1) % N] +
grid[(i + 1) % N, (j - 1) % N] + grid[(i + 1) % N, (j + 1) % N]) / 255)
# apply Conway's rules
if grid[i, j] == ON:
if (total < 2) or (total > 3):
newGrid[i, j] = OFF
else:
if total == 3:
newGrid[i, j] = ON
# update data
img.set_data(newGrid)
grid[:] = newGrid[:]
return img,
# main() function
def main():
# Command line args are in sys.argv[1], sys.argv[2] ..
# sys.argv[0] is the script name itself and can be ignored
# parse arguments
parser = argparse.ArgumentParser(description="Runs Conway's Game of Life simulation.")
# add arguments
parser.add_argument('--grid-size', dest='N', required=False)
parser.add_argument('--mov-file', dest='movfile', required=False)
parser.add_argument('--interval', dest='interval', required=False)
parser.add_argument('--glider', action='store_true', required=False)
parser.add_argument('--gosper', action='store_true', required=False)
args = parser.parse_args()
# set grid size
N = 100
if args.N and int(args.N) > 8:
N = int(args.N)
# set animation update interval
updateInterval = 10
if args.interval:
updateInterval = int(args.interval)
# declare grid
grid = np.array([])
# check if "glider" demo flag is specified
if args.glider:
grid = np.zeros(N * N).reshape(N, N)
addGlider(1, 1, grid)
elif args.gosper:
grid = np.zeros(N * N).reshape(N, N)
addGosperGliderGun(10, 10, grid)
else:
# populate grid with random on/off - more off than on
grid = randomGrid(N)
# set up animation
fig, ax = plt.subplots()
img = ax.imshow(grid, interpolation='nearest')
ani = animation.FuncAnimation(fig, update, fargs=(img, grid, N,),
frames=30,
interval=updateInterval,
save_count=50)
# # of frames?
# set output file
if args.movfile:
ani.save(args.movfile, fps=30, extra_args=['-vcodec', 'libx264'])
plt.show()
# call main
if __name__ == '__main__':
main()
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