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joko |
1.1 |
#!/usr/bin/env python |
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joko |
1.5 |
# $Id: boostgraph.py,v 1.4 2008/02/21 11:29:07 joko Exp $ |
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joko |
1.1 |
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# (c) 2008 Andreas Motl <andreas.motl@ilo.de> |
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joko |
1.3 |
# (c) 2008 Sebastian Utz <su@rotamente.com> |
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joko |
1.1 |
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# This program is free software: you can redistribute it and/or modify |
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# it under the terms of the GNU Affero General Public License as published by |
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# the Free Software Foundation, either version 3 of the License, or |
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# (at your option) any later version. |
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# |
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# This program is distributed in the hope that it will be useful, |
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# but WITHOUT ANY WARRANTY; without even the implied warranty of |
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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# GNU Affero General Public License for more details. |
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# |
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# You should have received a copy of the GNU Affero General Public License |
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# along with this program. If not, see <http://www.gnu.org/licenses/>. |
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# Uses BGL-Python (depth_first_search) |
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# |
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# BGL-Python Homepage: http://osl.iu.edu/~dgregor/bgl-python/ |
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# |
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joko |
1.2 |
# Documentation (Boost): |
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# - http://www.boost.org/libs/graph/doc/graph_theory_review.html |
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# - http://www.boost.org/libs/graph/doc/depth_first_search.html |
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# - http://www.boost.org/boost/graph/depth_first_search.hpp |
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# - http://www.boost.org/libs/graph/doc/DFSVisitor.html |
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# - http://www.boost.org/libs/graph/example/dfs-example.cpp |
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# |
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# Documentation (BGL-Python): |
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joko |
1.1 |
# - http://osl.iu.edu/~dgregor/bgl-python/reference/boost.graph.html |
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# |
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# Subversion-Repository: https://svn.osl.iu.edu/svn/projects_viz/bgl-python/ |
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joko |
1.3 |
RANDOM_MAX_NODES = 10 |
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RANDOM_MAX_CHILDREN_PER_NODE = 500 |
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MAX_SEARCH_DEPTH = 50 |
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ENABLE_PROFILING = False |
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if ENABLE_PROFILING: |
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import profile |
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from profile import Profile |
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joko |
1.1 |
import sys, os |
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joko |
1.3 |
import random |
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joko |
1.1 |
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sys.path.append('bgl_python') |
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os.environ['PATH'] += ';' + './bgl_python' |
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import boost.graph as bgl |
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# from http://www.boost.org/libs/graph/doc/DFSVisitor.html |
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class tree_edges_dfs_visitor(bgl.dfs_visitor): |
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joko |
1.3 |
#class tree_edges_bfs_visitor(bgl.bfs_visitor): |
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joko |
1.1 |
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joko |
1.4 |
def __init__(self, startVertex, endVertex, maxdepth, color_map): |
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joko |
1.3 |
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joko |
1.5 |
print dir(self) |
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joko |
1.3 |
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joko |
1.1 |
#bgl.dfs_visitor.__init__(self) |
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joko |
1.4 |
#self.name_map = name_map |
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self.startVertex = startVertex |
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self.endVertex = endVertex |
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joko |
1.2 |
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# for recognizing path switches |
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joko |
1.1 |
self.state = True |
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joko |
1.2 |
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# for tracking paths |
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self.paths = [] |
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self.current_path = [] |
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joko |
1.3 |
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# for limiting search depth |
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""" |
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self.color_map = color_map |
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self.maxdepth = maxdepth |
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self.depth = 0 |
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""" |
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self.level = 0 |
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joko |
1.5 |
def back_edge(self, e, g): |
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self._touch_edge(e, g, 'back_edge') |
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joko |
1.4 |
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joko |
1.5 |
def forward_or_cross_edge(self, e, g): |
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self._touch_edge(e, g, 'forward_or_cross_edge') |
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joko |
1.4 |
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joko |
1.5 |
def tree_edge(self, e, g): |
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self._touch_edge(e, g, 'tree_edge') |
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joko |
1.4 |
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joko |
1.3 |
def examine_edge(self, e, g): |
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joko |
1.4 |
self._touch_edge(e, g, 'examine_edge') |
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joko |
1.1 |
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joko |
1.4 |
def _touch_edge(self, e, g, label=''): |
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joko |
1.3 |
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joko |
1.1 |
(u, v) = (g.source(e), g.target(e)) |
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joko |
1.3 |
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# increase current search depth (level) |
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""" |
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self.depth += 1 |
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# check if maximum depth reached |
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if self.depth == self.maxdepth: |
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# color all succeeding vertices to black (mark as "already visited") |
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# BUG!!! marks too many nodes |
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for child_edge in g.out_edges(v): |
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end_vertex = g.target(child_edge) |
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#self.color_map[end_vertex] = bgl.Color(bgl.Color.gray) |
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""" |
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joko |
1.4 |
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name_map = g.vertex_properties['node_id'] |
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joko |
1.3 |
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if label: |
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joko |
1.5 |
print "%s:\t" % label, |
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#print "edge ", |
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joko |
1.4 |
print name_map[u], |
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joko |
1.1 |
print " -> ", |
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joko |
1.4 |
print name_map[v] |
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#self.state = True |
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if u == self.startVertex: |
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print "starting" |
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self.current_path = [] |
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# skip circular references |
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if v != self.startVertex: |
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self.current_path.append(e) |
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if v == self.endVertex and self.current_path: |
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print "found:" |
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print self.current_path |
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self.paths.append(self.current_path) |
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self.current_path = [] |
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joko |
1.5 |
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def _touch_vertex(self, v, g, label=''): |
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name_map = g.vertex_properties['node_id'] |
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id = name_map[v] |
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print '%s:\t%s' % (label, id) |
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def start_vertex(self, v, g): |
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self._touch_vertex(v, g, 'start_vertex') |
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def discover_vertex(self, v, g): |
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self._touch_vertex(v, g, 'discover_vertex') |
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def initialize_vertex(self, v, g): |
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self._touch_vertex(v, g, 'initialize_vertex') |
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def examine_vertex(self, v, g): |
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self._touch_vertex(v, g, 'examine_vertex') |
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def finish_vertex(self, v, g): |
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self._touch_vertex(v, g, 'finish_vertex') |
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joko |
1.1 |
|
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joko |
1.4 |
""" |
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joko |
1.1 |
def start_vertex(self, v, g): |
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joko |
1.3 |
self._seperator('start_vertex') |
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#pass |
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joko |
1.1 |
#print 'sssss' |
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joko |
1.3 |
def discover_vertex(self, v, g): |
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#print '>>>' |
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self._seperator('discover_vertex') |
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#pass |
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joko |
1.1 |
def initialize_vertex(self, v, g): |
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#print '>>>' |
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joko |
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self._seperator('initialize_vertex') |
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joko |
1.1 |
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joko |
1.3 |
def examine_vertex(self, v, g): |
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self._seperator('examine_vertex') |
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joko |
1.1 |
def finish_vertex(self, v, g): |
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#print '<<<' |
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joko |
1.2 |
if self.current_path: |
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self.paths.append(self.current_path) |
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self.current_path = [] |
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joko |
1.3 |
self.depth = 0 |
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joko |
1.2 |
self._seperator('finish_vertex') |
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joko |
1.4 |
""" |
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joko |
1.1 |
|
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joko |
1.2 |
def _seperator(self, label = 'unknown'): |
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joko |
1.3 |
if 1 or self.state: |
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joko |
1.2 |
print '-' * 21, label |
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joko |
1.1 |
self.state = False |
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joko |
1.2 |
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joko |
1.1 |
def build_fixed_graph(): |
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joko |
1.2 |
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joko |
1.1 |
graph = bgl.Graph() |
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joko |
1.2 |
index = {} |
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joko |
1.1 |
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joko |
1.2 |
# doesn't this work? see http://www.nabble.com/-Graph--Getting-PageRank-to-work-in-BGL-Python-td14207115.html |
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joko |
1.1 |
#graph.add_vertex_property_map(name='my_name', type='float') |
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# 'write_graphviz' requires property 'node_id' on vertices |
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# see http://lists.boost.org/boost-users/2006/06/19877.php |
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vmap = graph.vertex_property_map('string') |
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graph.vertex_properties['node_id'] = vmap |
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v1 = graph.add_vertex() |
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vmap[v1] = '1' |
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joko |
1.2 |
index['1'] = v1 |
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joko |
1.1 |
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v2 = graph.add_vertex() |
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vmap[v2] = '2' |
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joko |
1.2 |
index['2'] = v2 |
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joko |
1.1 |
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v3 = graph.add_vertex() |
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vmap[v3] = '3' |
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joko |
1.2 |
index['3'] = v3 |
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joko |
1.1 |
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v4 = graph.add_vertex() |
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vmap[v4] = '4' |
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joko |
1.2 |
index['4'] = v4 |
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joko |
1.1 |
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e1 = graph.add_edge(v1, v2) |
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e2 = graph.add_edge(v1, v3) |
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e3 = graph.add_edge(v3, v4) |
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joko |
1.3 |
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e4 = graph.add_edge(v1, v4) |
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joko |
1.5 |
e5 = graph.add_edge(v2, v3) |
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joko |
1.3 |
#e6 = graph.add_edge(v2, v4) |
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joko |
1.1 |
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""" |
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for vertex in graph.vertices: |
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#print vertex.id, vertex |
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print vmap[vertex], vertex |
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#print vertex.__getattribute__('id') |
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#print vertex['id'] |
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#print vertex.get('id') |
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#print |
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""" |
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graph.write_graphviz('friends.dot') |
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joko |
1.2 |
return (graph, index) |
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joko |
1.1 |
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joko |
1.3 |
def build_random_graph(): |
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graph = bgl.Graph() |
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index = {} |
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vmap = graph.vertex_property_map('string') |
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graph.vertex_properties['node_id'] = vmap |
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count = 0 |
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for parent_id in range(1, RANDOM_MAX_NODES + 1): |
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count += 1 |
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if count % 100 == 0: |
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sys.stderr.write('.') |
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parent_id_str = str(parent_id) |
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v1New = False |
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if not index.has_key(parent_id_str): |
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#print "adding v1:", parent_id_str |
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myVertex1 = graph.add_vertex() |
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vmap[myVertex1] = parent_id_str |
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index[parent_id_str] = myVertex1 |
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v1New = True |
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count = 0 |
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#for j in range(1, random.randint(1, RANDOM_MAX_CHILDREN_PER_NODE)): |
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for j in range(1, RANDOM_MAX_CHILDREN_PER_NODE): |
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count += 1 |
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if count % 100 == 0: |
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sys.stderr.write('.') |
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parent_id_str = random.choice(index.keys()) |
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child_id_str = parent_id_str |
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while child_id_str == parent_id_str: |
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child_id_str = random.choice(index.keys()) |
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#print child_id_str |
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myVertex1 = index[parent_id_str] |
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myVertex2 = index[child_id_str] |
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graph.add_edge(myVertex1, myVertex2) |
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sys.stderr.write("\n") |
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return (graph, index) |
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def dump_track(graph, track): |
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track_ids = [] |
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for node in track: |
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node_id = graph.vertex_properties['node_id'][node] |
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track_ids.append(node_id) |
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print ' -> '.join(track_ids) |
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joko |
1.1 |
|
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joko |
1.4 |
def dump_edges(g, edges): |
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name_map = g.vertex_properties['node_id'] |
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for e in edges: |
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(u, v) = (g.source(e), g.target(e)) |
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print "edge ", |
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print name_map[u], |
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print " -> ", |
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print name_map[v] |
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joko |
1.2 |
def find_path_solutions(source, target, graph, paths): |
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print |
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print "=" * 42 |
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print "find_path_solutions" |
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print "=" * 42 |
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#print visitor.paths |
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#(u, v) = (g.source(e), g.target(e)) |
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for path in paths: |
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startVertex = graph.source(path[0]) |
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joko |
1.3 |
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track = [] |
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track.append(startVertex) |
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for edge in path: |
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endVertex = graph.target(edge) |
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track.append(endVertex) |
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if source == startVertex and target == endVertex: |
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#print "found:", track |
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dump_track(graph, track) |
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def dump_graph(graph): |
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for edge in graph.edges: |
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(u, v) = (graph.source(edge), graph.target(edge)) |
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startIndex = graph.vertex_properties['node_id'][u] |
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endIndex = graph.vertex_properties['node_id'][v] |
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print "%s -> %s" % (startIndex, endIndex) |
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joko |
1.2 |
|
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joko |
1.1 |
def main(): |
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# Load a graph from the GraphViz file 'mst.dot' |
| 355 |
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#graph = bgl.Graph.read_graphviz('mst.dot') |
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joko |
1.2 |
(graph, index) = build_fixed_graph() |
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joko |
1.3 |
#(graph, index) = build_random_graph() |
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#dump_graph(graph) |
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joko |
1.1 |
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|
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# Compute all paths rooted from each vertex |
| 362 |
|
|
#mst_edges = bgl.kruskal_minimum_spanning_tree(graph, weight) |
| 363 |
|
|
#bgl.depth_first_search(graph, root_vertex = None, visitor = None, color_map = None) |
| 364 |
joko |
1.3 |
|
| 365 |
joko |
1.4 |
""" |
| 366 |
joko |
1.1 |
for root in graph.vertices: |
| 367 |
|
|
print |
| 368 |
|
|
print '=' * 42 |
| 369 |
|
|
print 'Paths originating from node %s' % graph.vertex_properties['node_id'][root] |
| 370 |
joko |
1.3 |
#cmap = graph.vertex_property_map('color') |
| 371 |
|
|
cmap = None |
| 372 |
|
|
visitor = tree_edges_dfs_visitor(3, graph.vertex_properties['node_id'], cmap) |
| 373 |
|
|
#visitor = tree_edges_bfs_visitor(3, graph.vertex_properties['node_id'], cmap) |
| 374 |
joko |
1.1 |
bgl.depth_first_search(graph, root_vertex = root, visitor = visitor, color_map = None) |
| 375 |
joko |
1.3 |
#bgl.breadth_first_search(graph, root_vertex = root, visitor = visitor, color_map = None) |
| 376 |
|
|
#find_path_solutions(index['1'], index['4'], graph, visitor.paths) |
| 377 |
|
|
#sys.exit(0) |
| 378 |
joko |
1.4 |
""" |
| 379 |
joko |
1.3 |
|
| 380 |
|
|
startIndex = random.choice(index.keys()) |
| 381 |
|
|
endIndex = random.choice(index.keys()) |
| 382 |
|
|
startIndex = '1' |
| 383 |
|
|
endIndex = '4' |
| 384 |
|
|
|
| 385 |
|
|
print "Trying to find solution for: %s -> %s" % (startIndex, endIndex) |
| 386 |
|
|
|
| 387 |
|
|
startVertex = index[startIndex] |
| 388 |
|
|
endVertex = index[endIndex] |
| 389 |
|
|
|
| 390 |
|
|
def doCompute(): |
| 391 |
|
|
cmap = graph.vertex_property_map('color') |
| 392 |
joko |
1.4 |
visitor = tree_edges_dfs_visitor(startVertex, endVertex, MAX_SEARCH_DEPTH, cmap) |
| 393 |
joko |
1.3 |
bgl.depth_first_search(graph, root_vertex = startVertex, visitor = visitor, color_map = None) |
| 394 |
|
|
#bgl.depth_first_visit(graph, root_vertex = startVertex, visitor = visitor, color_map = cmap) |
| 395 |
joko |
1.4 |
#find_path_solutions(startVertex, endVertex, graph, visitor.paths) |
| 396 |
|
|
for path in visitor.paths: |
| 397 |
|
|
print '-' * 21 |
| 398 |
|
|
dump_edges(graph, path) |
| 399 |
joko |
1.3 |
|
| 400 |
|
|
if ENABLE_PROFILING: |
| 401 |
|
|
global paths |
| 402 |
|
|
paths = [] |
| 403 |
|
|
p = Profile() |
| 404 |
|
|
p.runcall(doCompute) |
| 405 |
|
|
p.print_stats() |
| 406 |
|
|
else: |
| 407 |
|
|
paths = doCompute() |
| 408 |
|
|
|
| 409 |
joko |
1.1 |
|
| 410 |
|
|
# STOP HERE |
| 411 |
|
|
sys.exit(0) |
| 412 |
|
|
|
| 413 |
|
|
|
| 414 |
|
|
|
| 415 |
|
|
|
| 416 |
|
|
|
| 417 |
|
|
# Compute the weight of the minimum spanning tree |
| 418 |
|
|
#print 'MST weight =',sum([weight[e] for e in mst_edges]) |
| 419 |
|
|
|
| 420 |
|
|
# Put the weights into the label. Make MST edges solid while all other |
| 421 |
|
|
# edges remain dashed. |
| 422 |
|
|
label = graph.edge_property_map('string') |
| 423 |
|
|
style = graph.edge_property_map('string') |
| 424 |
|
|
for e in graph.edges: |
| 425 |
|
|
label[e] = str(weight[e]) |
| 426 |
|
|
if e in mst_edges: |
| 427 |
|
|
style[e] = 'solid' |
| 428 |
|
|
else: |
| 429 |
|
|
style[e] = 'dashed' |
| 430 |
|
|
|
| 431 |
|
|
# Associate the label and style property maps with the graph for output |
| 432 |
|
|
graph.edge_properties['label'] = label |
| 433 |
|
|
graph.edge_properties['style'] = style |
| 434 |
|
|
|
| 435 |
|
|
# Write out the graph in GraphViz DOT format |
| 436 |
|
|
graph.write_graphviz('friends_path_2to3.dot') |
| 437 |
|
|
|
| 438 |
|
|
|
| 439 |
|
|
if __name__ == '__main__': |
| 440 |
|
|
main() |