1 //=======================================================================
2 // Copyright 2007 Aaron Windsor
3 //
4 // Distributed under the Boost Software License, Version 1.0. (See
5 // accompanying file LICENSE_1_0.txt or copy at
6 // http://www.boost.org/LICENSE_1_0.txt)
7 //=======================================================================
8 
9 /*
10 
11 This test looks in the directory "planar_input_graphs" for any files
12 of the form *.dimacs. Each such file is used to create an input graph
13 and test the input graph for planarity. If the graph is planar, a
14 straight line drawing is generated and verified. If the graph isn't
15 planar, a kuratowski subgraph is isolated and verified.
16 
17 This test needs to be linked against Boost.Filesystem.
18 
19 */
20 
21 #define BOOST_FILESYSTEM_VERSION 3
22 
23 #include <iostream>
24 #include <fstream>
25 #include <vector>
26 #include <string>
27 #include <utility>
28 
29 
30 #include <boost/property_map/property_map.hpp>
31 #include <boost/lexical_cast.hpp>
32 #include <boost/tuple/tuple.hpp>
33 #include <boost/filesystem.hpp>
34 #include <boost/algorithm/string.hpp>
35 #include <boost/test/minimal.hpp>
36 
37 
38 #include <boost/graph/adjacency_list.hpp>
39 #include <boost/graph/depth_first_search.hpp>
40 #include <boost/graph/properties.hpp>
41 #include <boost/graph/graph_traits.hpp>
42 #include <boost/graph/planar_canonical_ordering.hpp>
43 #include <boost/graph/make_connected.hpp>
44 #include <boost/graph/make_biconnected_planar.hpp>
45 #include <boost/graph/make_maximal_planar.hpp>
46 #include <boost/graph/is_straight_line_drawing.hpp>
47 #include <boost/graph/is_kuratowski_subgraph.hpp>
48 #include <boost/graph/chrobak_payne_drawing.hpp>
49 #include <boost/graph/boyer_myrvold_planar_test.hpp>
50 #include <boost/graph/planar_detail/add_edge_visitors.hpp>
51 
52 
53 
54 
55 
56 
57 using namespace boost;
58 
59 struct coord_t
60 {
61   std::size_t x;
62   std::size_t y;
63 };
64 
65 
66 
67 template <typename Graph>
read_dimacs(Graph & g,const std::string & filename)68 void read_dimacs(Graph& g, const std::string& filename)
69 {
70   typedef typename graph_traits<Graph>::vertex_descriptor vertex_t;
71   std::vector<vertex_t> vertices_by_index;
72 
73   std::ifstream in(filename.c_str());
74 
75   while (!in.eof())
76     {
77       char buffer[256];
78       in.getline(buffer, 256);
79       std::string s(buffer);
80 
81       if (s.size() == 0)
82         continue;
83 
84       std::vector<std::string> v;
85       split(v, buffer, is_any_of(" \t\n"));
86 
87       if (v[0] == "p")
88         {
89           //v[1] == "edge"
90           g = Graph(boost::lexical_cast<std::size_t>(v[2].c_str()));
91           std::copy(vertices(g).first,
92                     vertices(g).second,
93                     std::back_inserter(vertices_by_index)
94                     );
95         }
96       else if (v[0] == "e")
97         {
98           add_edge(vertices_by_index
99                      [boost::lexical_cast<std::size_t>(v[1].c_str())],
100                    vertices_by_index
101                      [boost::lexical_cast<std::size_t>(v[2].c_str())],
102                    g);
103         }
104     }
105 }
106 
107 
108 
109 
110 
111 
test_graph(const std::string & dimacs_filename)112 int test_graph(const std::string& dimacs_filename)
113 {
114 
115   typedef adjacency_list<listS,
116                          vecS,
117                          undirectedS,
118                          property<vertex_index_t, int>,
119                          property<edge_index_t, int> > graph;
120 
121   typedef graph_traits<graph>::edge_descriptor edge_t;
122   typedef graph_traits<graph>::edge_iterator edge_iterator_t;
123   typedef graph_traits<graph>::vertex_iterator vertex_iterator_t;
124   typedef graph_traits<graph>::edges_size_type e_size_t;
125   typedef graph_traits<graph>::vertex_descriptor vertex_t;
126   typedef edge_index_update_visitor<property_map<graph, edge_index_t>::type>
127     edge_visitor_t;
128 
129   vertex_iterator_t vi, vi_end;
130   edge_iterator_t ei, ei_end;
131 
132   graph g;
133   read_dimacs(g, dimacs_filename);
134 
135   // Initialize the interior edge index
136   property_map<graph, edge_index_t>::type e_index = get(edge_index, g);
137   e_size_t edge_count = 0;
138   for(boost::tie(ei, ei_end) = edges(g); ei != ei_end; ++ei)
139     put(e_index, *ei, edge_count++);
140 
141   // Initialize the interior vertex index - not needed if the vertices
142   // are stored with a vecS
143   /*
144   property_map<graph, vertex_index_t>::type v_index = get(vertex_index, g);
145   v_size_t vertex_count = 0;
146   for(boost::tie(vi, vi_end) = vertices(g); vi != vi_end; ++vi)
147     put(v_index, *vi, vertex_count++);
148   */
149 
150   // This edge_updater will automatically update the interior edge
151   // index of the graph as edges are created.
152   edge_visitor_t edge_updater(get(edge_index, g), num_edges(g));
153 
154   // The input graph may not be maximal planar, but the Chrobak-Payne straight
155   // line drawing needs a maximal planar graph as input. So, we make a copy of
156   // the original graph here, then add edges to the graph to make it maximal
157   // planar. When we're done creating a drawing of the maximal planar graph,
158   // we can use the same mapping of vertices to points on the grid to embed the
159   // original, non-maximal graph.
160   graph g_copy(g);
161 
162   // Add edges to make g connected, if it isn't already
163   make_connected(g, get(vertex_index, g), edge_updater);
164 
165   std::vector<graph_traits<graph>::edge_descriptor> kuratowski_edges;
166 
167   typedef std::vector< std::vector<edge_t> > edge_permutation_storage_t;
168   typedef boost::iterator_property_map
169     < edge_permutation_storage_t::iterator,
170       property_map<graph, vertex_index_t>::type
171     >
172     edge_permutation_t;
173 
174   edge_permutation_storage_t edge_permutation_storage(num_vertices(g));
175   edge_permutation_t perm(edge_permutation_storage.begin(),
176                           get(vertex_index,g)
177                           );
178 
179   // Test for planarity, computing the planar embedding or the kuratowski
180   // subgraph.
181   if (!boyer_myrvold_planarity_test(boyer_myrvold_params::graph = g,
182                                     boyer_myrvold_params::embedding = perm,
183                                     boyer_myrvold_params::kuratowski_subgraph
184                                     = std::back_inserter(kuratowski_edges)
185                                     )
186       )
187     {
188       std::cout << "Not planar. ";
189       BOOST_REQUIRE(is_kuratowski_subgraph(g,
190                                            kuratowski_edges.begin(),
191                                            kuratowski_edges.end()
192                                            )
193                     );
194 
195       return 0;
196     }
197 
198   // If we get this far, we have a connected planar graph.
199   make_biconnected_planar(g, perm, get(edge_index, g), edge_updater);
200 
201   // Compute the planar embedding of the (now) biconnected planar graph
202   BOOST_CHECK (boyer_myrvold_planarity_test(boyer_myrvold_params::graph = g,
203                                             boyer_myrvold_params::embedding =
204                                               perm
205                                             )
206                );
207 
208   // If we get this far, we have a biconnected planar graph
209   make_maximal_planar(g, perm, get(vertex_index,g), get(edge_index,g),
210                       edge_updater
211                       );
212 
213   // Now the graph is triangulated - we can compute the final planar embedding
214   BOOST_CHECK (boyer_myrvold_planarity_test(boyer_myrvold_params::graph = g,
215                                             boyer_myrvold_params::embedding =
216                                               perm
217                                             )
218                );
219 
220   // Compute a planar canonical ordering of the vertices
221   std::vector<vertex_t> ordering;
222   planar_canonical_ordering(g, perm, std::back_inserter(ordering));
223 
224   BOOST_CHECK(ordering.size() == num_vertices(g));
225 
226   typedef std::vector< coord_t > drawing_storage_t;
227   typedef boost::iterator_property_map
228     < drawing_storage_t::iterator, property_map<graph, vertex_index_t>::type >
229     drawing_map_t;
230 
231   drawing_storage_t drawing_vector(num_vertices(g));
232   drawing_map_t drawing(drawing_vector.begin(), get(vertex_index,g));
233 
234   // Compute a straight line drawing
235   chrobak_payne_straight_line_drawing(g,
236                                       perm,
237                                       ordering.begin(),
238                                       ordering.end(),
239                                       drawing
240                                       );
241 
242   std::cout << "Planar. ";
243   BOOST_REQUIRE (is_straight_line_drawing(g, drawing));
244 
245   return 0;
246 }
247 
248 
249 
250 
251 
252 
253 
test_main(int argc,char * argv[])254 int test_main(int argc, char* argv[])
255 {
256 
257   std::string input_directory_str = "planar_input_graphs";
258   if (argc > 1)
259     {
260       input_directory_str = std::string(argv[1]);
261     }
262 
263   std::cout << "Reading planar input files from " << input_directory_str
264             << std::endl;
265 
266   filesystem::path input_directory =
267     filesystem::system_complete(filesystem::path(input_directory_str));
268   const std::string dimacs_extension = ".dimacs";
269 
270   filesystem::directory_iterator dir_end;
271   for( filesystem::directory_iterator dir_itr(input_directory);
272        dir_itr != dir_end; ++dir_itr)
273   {
274 
275     if (dir_itr->path().extension() != dimacs_extension)
276       continue;
277 
278     std::cout << "Testing " << dir_itr->path().leaf() << "... ";
279     BOOST_REQUIRE (test_graph(dir_itr->path().string()) == 0);
280 
281     std::cout << std::endl;
282   }
283 
284   return 0;
285 
286 }
287