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GameOfLife_utils.py
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#!/usr/bin/env python3
# -*- coding: utf-8 -*-
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.animation as animation
###############################################################################
def evolve(X):
''' Evolves a board of Game of Life for one turn '''
# Dead cells as a boundary condition
# Count neighbours
# Alive if 3 neighbours or 2 neighbours and already alive
Xi = X.astype(int)
neigh = np.zeros(Xi.shape)
neigh[1:-1,1:-1] = (Xi[:-2,:-2] + Xi[:-2,1:-1] + Xi[:-2,2:] +
Xi[1:-1,:-2] + Xi[1:-1,2:] +
Xi[2:,:-2] + Xi[2:,1:-1] + Xi[2:,2:])
return np.logical_or(neigh==3,np.logical_and(Xi==1,neigh==2))
###############################################################################
def get_history(B,T):
''' Returns the evolution of a board B after T generations '''
history = np.zeros((T,B.shape[0], B.shape[1]),dtype=bool)
for t in range(T):
history[t,:,:] = B
B = evolve(B)
print(t)
return history
###############################################################################
def plotcells(X, filename=False):
''' Plots a board of Game of Life + optionally saving the figure '''
LW = 0.5
if(X.shape[0]>200):
USE_IMSHOW = True
else:
USE_IMSHOW = False
fig = plt.figure(figsize=(16,9),dpi=120)
if USE_IMSHOW == False:
# Light blue lines as cells boundaries
plt.pcolor(X.T, cmap="gray_r",
edgecolors='cadetblue', linewidths=LW)
else:
plt.imshow(X[:,::-1].T, cmap="gray_r")
plt.gca().get_xaxis().set_visible(False)
plt.gca().get_yaxis().set_visible(False)
fig.tight_layout()
if (filename != False):
plt.savefig(filename,dpi=90)
else:
plt.show()
###############################################################################
def makeMovie(history,filename,trim=False):
''' Create the movie from a history of a game of life'''
# History is the boolean history (non inverted i.e. True = alive)
# Inversion is done in the colormap
# Filename should be *.mp4
FIGSIZE = (16,9)
DPI = 240
LW = 0.5
if(history.shape[1]>200):
USE_IMSHOW = True
else:
USE_IMSHOW = False
# Trim boundaries
if trim:
history = history[:,3:-3,3:-3]
# Create the plot and its starting point
print("Create initial plot")
my_cmap = plt.get_cmap('gray_r')
fig = plt.figure(figsize=FIGSIZE,dpi=DPI)
ax = fig.add_subplot(111)
if USE_IMSHOW == False:
# First option : use pcolor
pc = ax.pcolor(history[0,:,:].T, cmap=my_cmap,
edgecolors='cadetblue', linewidths=LW)
else:
# Second option : use imshow
im = ax.imshow(history[0,:,::-1].T, cmap=my_cmap)
cnt = ax.text(0.01, 0.99, str(0),color='red', fontsize=30,
verticalalignment='top', horizontalalignment='left',
transform=ax.transAxes)
ax.get_xaxis().set_visible(False)
ax.get_yaxis().set_visible(False)
fig.tight_layout()
# The function as it is called at the n-th iteration
# It directly modifies the data within the image
def update_img(n):
# Revert and scale from 0-1 to 0-255
print('Frame '+str(n))
if USE_IMSHOW == False:
new_color = my_cmap(255*history[n,:,:].T.ravel())
pc.update({'facecolors':new_color})
else:
im.set_data(history[n,:,::-1].T)
#
cnt.set_text(str(n))
# # if needed, can modify the field of view
# fov =
# ax.set_xlim()
# ax.set_ylim()
return True
# Create the animation and save it
print("Make animation")
ani = animation.FuncAnimation(fig, update_img, history.shape[0],
interval=30) # 30ms per frame
writer = animation.FFMpegWriter(fps=30, bitrate=5000)
print("Save movie")
ani.save(filename, writer = writer, dpi=DPI)
print("Saved")
###############################################################################
def readRLE_OLD(filename, Bshape=(50,50), position = (10,10), rH=False,rV=False):
''' Read the RLE file and returns a binary matrix '''
# see http://www.conwaylife.com/wiki/RLE
# Open file and cast it into a unique string
f = open(filename,"r")
s = ''
while True:
l = f.readline()
if l == '': # Empty indicates end of file. An empty line would be '\n'
break
if l[0] =='#':
continue
if l[0] =='x':
continue
s = s + l[:-1] # To remove EOL
f.close()
# Create matrix
B = np.zeros(Bshape).astype(bool)
initX, initY = position
# We parse each character and decide accordingly what to do
# If the character is a digit, we keep going until we reach 'b' or 'o'
curX, curY = initX, initY
qs = ''
for c in s:
# End of file
if c=='':
break
# Next Line
if c=='$':
q = 1 if qs=='' else int(qs)
curY += q
curX = initX
qs = ''
# Digit (check ascii code for a digit from 0 to 9)
if ord(c)>47 and ord(c)<58: #
qs = qs + c
# Alive (o) or Dead (b) cell
if c == 'b' or c=='o':
q = 1 if qs=='' else int(qs)
for i in range(q):
B[curX, curY] = False if c=='b' else True
curX += 1
qs = ''
if rV:
B=B[:,::-1]
if rH:
B=B[::-1,:]
return B.astype(bool)
###############################################################################
def readRLE(filename, Cshape=(50,50), position = (10,10), rH=False,rV=False,tp=False):
''' Read the RLE file and returns a binary matrix '''
# see http://www.conwaylife.com/wiki/RLE
# Open file and cast it into a unique string
f = open(filename,"r")
s = ''
#initialize parameters
Cshape = (0,0)
position = (0,0)
rH = False
rV = False
trim = False
while True:
l = f.readline()
if l == '': # Empty indicates end of file. An empty line would be '\n'
break
if l[0] =='#':
continue
if l[0] =='x':
continue
if l[0] == 'p':
params = l.split(';')
# 16/9 ratio
shapeY = int(params[1]) #to remove ';'
Cshape=(int(1.78*shapeY),shapeY)
position=(int(params[2]),int(params[3]))
rH=bool(params[4])
rV=bool(params[5])
trim=bool(params[6])
s = s + l[:-1] # To remove EOL
f.close()
# Create matrix
SHAPE_MAX = (2500,2500)
B = np.zeros(SHAPE_MAX).astype(bool)
# We parse each character and decide accordingly what to do
# If the character is a digit, we keep going until we reach 'b' or 'o'
curX, curY = 0, 0
qs = ''
for c in s:
# End of file
if c=='':
break
# Next Line
if c=='$':
q = 1 if qs=='' else int(qs)
curY += q
curX = 0
qs = ''
# Digit (check ascii code for a digit from 0 to 9)
if ord(c)>47 and ord(c)<58: #
qs = qs + c
# Alive (o) or Dead (b) cell
if c == 'b' or c=='o':
q = 1 if qs=='' else int(qs)
for i in range(q):
B[curX, curY] = False if c=='b' else True
curX += 1
qs = ''
posX, posY = position
BshapeY=max(np.where(sum(B)>0)[0])+1
BshapeX=max(np.where(sum(B.T)>0)[0])+1
B = B[0:BshapeX,0:BshapeY]
if rV:
B=B[:,::-1]
if rH:
B=B[::-1,:]
if tp:
B=B.T
C = np.zeros(Cshape)
C[posX:(posX+B.shape[0]),posY:(posY+B.shape[1])] = np.copy(B)
return C.astype(bool)
##################################################################
def readRLE_New(filename):
''' Read the RLE file and returns the parameters and the pattern chain'''
# see http://www.conwaylife.com/wiki/RLE
# Open file and cast it into a unique string
f = open(filename,"r")
s = ''
#initialize parameters
Cshape = (0,0)
position = (0,0)
rH = False
rV = False
trim = False
T = 0
tp = False
while True:
l = f.readline()
if l == '': # Empty indicates end of file. An empty line would be '\n'
break
if l[0] =='#':
continue
if l[0] =='x':
continue
if l[0] == 'p':
params = l.split(';')
# 16/9 ratio
shapeY = int(params[1]) #to remove ';'
Cshape=(int(1.78*shapeY),shapeY)
position=(int(params[2]),int(params[3]))
T=int(params[4])
rH=bool(params[5])
rV=bool(params[6])
trim=bool(params[7])
tp=bool(params[8])
else:
s = s + l[:-1] # To remove EOL
f.close()
return (Cshape,position,T,rH,rV,trim,tp,s)
##############################################################
def readPattern(pattern,Cshape,position,rH,rV,tp):
"""Reads the pattern, to set initial condition of the game."""
# Create matrix
SHAPE_MAX = (2500,2500)
B = np.zeros(SHAPE_MAX).astype(bool)
# We parse each character and decide accordingly what to do
# If the character is a digit, we keep going until we reach 'b' or 'o'
curX, curY = 0, 0
qs = ''
for c in pattern:
# End of file
if c=='':
break
# Next Line
if c=='$':
q = 1 if qs=='' else int(qs)
curY += q
curX = 0
qs = ''
# Digit (check ascii code for a digit from 0 to 9)
if ord(c)>47 and ord(c)<58: #
qs = qs + c
# Alive (o) or Dead (b) cell
if c == 'b' or c=='o':
q = 1 if qs=='' else int(qs)
for i in range(q):
B[curX, curY] = False if c=='b' else True
curX += 1
qs = ''
posX, posY = position
BshapeY=max(np.where(sum(B)>0)[0])+1
BshapeX=max(np.where(sum(B.T)>0)[0])+1
B = B[0:BshapeX,0:BshapeY]
if rV:
B=B[:,::-1]
if rH:
B=B[::-1,:]
if tp:
B=B.T
C = np.zeros(Cshape)
C[posX:(posX+B.shape[0]),posY:(posY+B.shape[1])] = np.copy(B)
return C.astype(bool)