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February 13, 2014 10:12
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#!/usr/bin/env python | |
import networkx as nx | |
import matplotlib.pyplot as plt | |
import math | |
from random import random | |
from numpy import arange | |
N = 1000 | |
K = 5 | |
P = 0.05 | |
# attractive force | |
def f_a(d,k): | |
return d*d/k | |
# repulsive force | |
def f_r(d,k): | |
return k*k/d | |
def fruchterman_reingold(G,iteration=50): | |
W = 1 | |
L = 1 | |
area = W*L | |
k = math.sqrt(area/nx.number_of_nodes(G)) | |
# initial position | |
for v in nx.nodes_iter(G): | |
G.node[v]['x'] = W*random() | |
G.node[v]['y'] = L*random() | |
t = W/10 | |
dt = t/(iteration+1) | |
print("area:{0}".format(area)) | |
print("k:{0}".format(k)) | |
print("t:{0}, dt:{1}".format(t,dt)) | |
for i in range(iteration): | |
print("iter {0}".format(i)) | |
pos = {} | |
for v in G.nodes_iter(): | |
pos[v] = [G.node[v]['x'],G.node[v]['y']] | |
plt.close() | |
plt.ylim([-0.1,1.1]) | |
plt.xlim([-0.1,1.1]) | |
plt.axis('off') | |
nx.draw_networkx(G,pos=pos,node_size=10,width=0.1,with_labels=False) | |
plt.savefig("fig/{0}.png".format(i)) | |
# calculate repulsive forces | |
for v in G.nodes_iter(): | |
G.node[v]['dx'] = 0 | |
G.node[v]['dy'] = 0 | |
for u in G.nodes_iter(): | |
if v != u: | |
dx = G.node[v]['x'] - G.node[u]['x'] | |
dy = G.node[v]['y'] - G.node[u]['y'] | |
delta = math.sqrt(dx*dx+dy*dy) | |
if delta != 0: | |
d = f_r(delta,k)/delta | |
G.node[v]['dx'] += dx*d | |
G.node[v]['dy'] += dy*d | |
# calculate attractive forces | |
for v,u in G.edges_iter(): | |
dx = G.node[v]['x'] - G.node[u]['x'] | |
dy = G.node[v]['y'] - G.node[u]['y'] | |
delta = math.sqrt(dx*dx+dy*dy) | |
if delta != 0: | |
d = f_a(delta,k)/delta | |
ddx = dx*d | |
ddy = dy*d | |
G.node[v]['dx'] += -ddx | |
G.node[u]['dx'] += +ddx | |
G.node[v]['dy'] += -ddy | |
G.node[u]['dy'] += +ddy | |
# limit the maximum displacement to the temperature t | |
# and then prevent from being displace outside frame | |
for v in G.nodes_iter(): | |
dx = G.node[v]['dx'] | |
dy = G.node[v]['dy'] | |
disp = math.sqrt(dx*dx+dy*dy) | |
if disp != 0: | |
cnt += 1 | |
d = min(disp,t)/disp | |
x = G.node[v]['x'] + dx*d | |
y = G.node[v]['y'] + dy*d | |
x = min(W,max(0,x)) - W/2 | |
y = min(L,max(0,y)) - L/2 | |
G.node[v]['x'] = min(math.sqrt(W*W/4-y*y),max(-math.sqrt(W*W/4-y*y),x)) + W/2 | |
G.node[v]['y'] = min(math.sqrt(L*L/4-x*x),max(-math.sqrt(L*L/4-x*x),y)) + L/2 | |
# cooling | |
t -= dt | |
pos = {} | |
for v in G.nodes_iter(): | |
pos[v] = [G.node[v]['x'],G.node[v]['y']] | |
plt.close() | |
plt.ylim([-0.1,1.1]) | |
plt.xlim([-0.1,1.1]) | |
plt.axis('off') | |
nx.draw_networkx(G,pos=pos,node_size=10,width=0.1,with_labels=False) | |
plt.savefig("fig/{0}.png".format(i+1)) | |
return pos | |
def main(): | |
G = nx.watts_strogatz_graph(N,K,P) | |
pos = fruchterman_reingold(G) | |
plt.close() | |
plt.ylim([-0.1,1.1]) | |
plt.xlim([-0.1,1.1]) | |
plt.axis('off') | |
nx.draw_networkx(G,pos=nx.spring_layout(G),node_size=10,width=0.1,with_labels=False) | |
plt.savefig("fig/orig.png") | |
if __name__ == "__main__": | |
main() |
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You can find solution from here:
https://stackoverflow.com/questions/33734836/graph-object-has-no-attribute-nodes-iter-in-networkx-module-python