1 | // |
---|
2 | //======================================================================= |
---|
3 | // Copyright 1997, 1998, 1999, 2000 University of Notre Dame. |
---|
4 | // Authors: Andrew Lumsdaine, Lie-Quan Lee, Jeremy G. Siek |
---|
5 | // |
---|
6 | // Distributed under the Boost Software License, Version 1.0. (See |
---|
7 | // accompanying file LICENSE_1_0.txt or copy at |
---|
8 | // http://www.boost.org/LICENSE_1_0.txt) |
---|
9 | //======================================================================= |
---|
10 | // |
---|
11 | #ifndef BOOST_GRAPH_BREADTH_FIRST_SEARCH_HPP |
---|
12 | #define BOOST_GRAPH_BREADTH_FIRST_SEARCH_HPP |
---|
13 | |
---|
14 | /* |
---|
15 | Breadth First Search Algorithm (Cormen, Leiserson, and Rivest p. 470) |
---|
16 | */ |
---|
17 | #include <boost/config.hpp> |
---|
18 | #include <vector> |
---|
19 | #include <boost/pending/queue.hpp> |
---|
20 | #include <boost/graph/graph_traits.hpp> |
---|
21 | #include <boost/graph/graph_concepts.hpp> |
---|
22 | #include <boost/graph/visitors.hpp> |
---|
23 | #include <boost/graph/named_function_params.hpp> |
---|
24 | |
---|
25 | namespace boost { |
---|
26 | |
---|
27 | template <class Visitor, class Graph> |
---|
28 | struct BFSVisitorConcept { |
---|
29 | void constraints() { |
---|
30 | function_requires< CopyConstructibleConcept<Visitor> >(); |
---|
31 | vis.initialize_vertex(u, g); |
---|
32 | vis.discover_vertex(u, g); |
---|
33 | vis.examine_vertex(u, g); |
---|
34 | vis.examine_edge(e, g); |
---|
35 | vis.tree_edge(e, g); |
---|
36 | vis.non_tree_edge(e, g); |
---|
37 | vis.gray_target(e, g); |
---|
38 | vis.black_target(e, g); |
---|
39 | vis.finish_vertex(u, g); |
---|
40 | } |
---|
41 | Visitor vis; |
---|
42 | Graph g; |
---|
43 | typename graph_traits<Graph>::vertex_descriptor u; |
---|
44 | typename graph_traits<Graph>::edge_descriptor e; |
---|
45 | }; |
---|
46 | |
---|
47 | |
---|
48 | template <class IncidenceGraph, class Buffer, class BFSVisitor, |
---|
49 | class ColorMap> |
---|
50 | void breadth_first_visit |
---|
51 | (const IncidenceGraph& g, |
---|
52 | typename graph_traits<IncidenceGraph>::vertex_descriptor s, |
---|
53 | Buffer& Q, BFSVisitor vis, ColorMap color) |
---|
54 | { |
---|
55 | function_requires< IncidenceGraphConcept<IncidenceGraph> >(); |
---|
56 | typedef graph_traits<IncidenceGraph> GTraits; |
---|
57 | typedef typename GTraits::vertex_descriptor Vertex; |
---|
58 | typedef typename GTraits::edge_descriptor Edge; |
---|
59 | function_requires< BFSVisitorConcept<BFSVisitor, IncidenceGraph> >(); |
---|
60 | function_requires< ReadWritePropertyMapConcept<ColorMap, Vertex> >(); |
---|
61 | typedef typename property_traits<ColorMap>::value_type ColorValue; |
---|
62 | typedef color_traits<ColorValue> Color; |
---|
63 | typename GTraits::out_edge_iterator ei, ei_end; |
---|
64 | |
---|
65 | put(color, s, Color::gray()); vis.discover_vertex(s, g); |
---|
66 | Q.push(s); |
---|
67 | while (! Q.empty()) { |
---|
68 | Vertex u = Q.top(); Q.pop(); vis.examine_vertex(u, g); |
---|
69 | for (tie(ei, ei_end) = out_edges(u, g); ei != ei_end; ++ei) { |
---|
70 | Vertex v = target(*ei, g); vis.examine_edge(*ei, g); |
---|
71 | ColorValue v_color = get(color, v); |
---|
72 | if (v_color == Color::white()) { vis.tree_edge(*ei, g); |
---|
73 | put(color, v, Color::gray()); vis.discover_vertex(v, g); |
---|
74 | Q.push(v); |
---|
75 | } else { vis.non_tree_edge(*ei, g); |
---|
76 | if (v_color == Color::gray()) vis.gray_target(*ei, g); |
---|
77 | else vis.black_target(*ei, g); |
---|
78 | } |
---|
79 | } // end for |
---|
80 | put(color, u, Color::black()); vis.finish_vertex(u, g); |
---|
81 | } // end while |
---|
82 | } // breadth_first_visit |
---|
83 | |
---|
84 | |
---|
85 | template <class VertexListGraph, class Buffer, class BFSVisitor, |
---|
86 | class ColorMap> |
---|
87 | void breadth_first_search |
---|
88 | (const VertexListGraph& g, |
---|
89 | typename graph_traits<VertexListGraph>::vertex_descriptor s, |
---|
90 | Buffer& Q, BFSVisitor vis, ColorMap color) |
---|
91 | { |
---|
92 | // Initialization |
---|
93 | typedef typename property_traits<ColorMap>::value_type ColorValue; |
---|
94 | typedef color_traits<ColorValue> Color; |
---|
95 | typename boost::graph_traits<VertexListGraph>::vertex_iterator i, i_end; |
---|
96 | for (tie(i, i_end) = vertices(g); i != i_end; ++i) { |
---|
97 | vis.initialize_vertex(*i, g); |
---|
98 | put(color, *i, Color::white()); |
---|
99 | } |
---|
100 | breadth_first_visit(g, s, Q, vis, color); |
---|
101 | } |
---|
102 | |
---|
103 | |
---|
104 | template <class Visitors = null_visitor> |
---|
105 | class bfs_visitor { |
---|
106 | public: |
---|
107 | bfs_visitor() { } |
---|
108 | bfs_visitor(Visitors vis) : m_vis(vis) { } |
---|
109 | |
---|
110 | template <class Vertex, class Graph> |
---|
111 | void initialize_vertex(Vertex u, Graph& g) { |
---|
112 | invoke_visitors(m_vis, u, g, ::boost::on_initialize_vertex()); |
---|
113 | } |
---|
114 | template <class Vertex, class Graph> |
---|
115 | void discover_vertex(Vertex u, Graph& g) { |
---|
116 | invoke_visitors(m_vis, u, g, ::boost::on_discover_vertex()); |
---|
117 | } |
---|
118 | template <class Vertex, class Graph> |
---|
119 | void examine_vertex(Vertex u, Graph& g) { |
---|
120 | invoke_visitors(m_vis, u, g, ::boost::on_examine_vertex()); |
---|
121 | } |
---|
122 | template <class Edge, class Graph> |
---|
123 | void examine_edge(Edge e, Graph& g) { |
---|
124 | invoke_visitors(m_vis, e, g, ::boost::on_examine_edge()); |
---|
125 | } |
---|
126 | template <class Edge, class Graph> |
---|
127 | void tree_edge(Edge e, Graph& g) { |
---|
128 | invoke_visitors(m_vis, e, g, ::boost::on_tree_edge()); |
---|
129 | } |
---|
130 | template <class Edge, class Graph> |
---|
131 | void non_tree_edge(Edge e, Graph& g) { |
---|
132 | invoke_visitors(m_vis, e, g, ::boost::on_non_tree_edge()); |
---|
133 | } |
---|
134 | template <class Edge, class Graph> |
---|
135 | void gray_target(Edge e, Graph& g) { |
---|
136 | invoke_visitors(m_vis, e, g, ::boost::on_gray_target()); |
---|
137 | } |
---|
138 | template <class Edge, class Graph> |
---|
139 | void black_target(Edge e, Graph& g) { |
---|
140 | invoke_visitors(m_vis, e, g, ::boost::on_black_target()); |
---|
141 | } |
---|
142 | template <class Vertex, class Graph> |
---|
143 | void finish_vertex(Vertex u, Graph& g) { |
---|
144 | invoke_visitors(m_vis, u, g, ::boost::on_finish_vertex()); |
---|
145 | } |
---|
146 | |
---|
147 | BOOST_GRAPH_EVENT_STUB(on_initialize_vertex,bfs) |
---|
148 | BOOST_GRAPH_EVENT_STUB(on_discover_vertex,bfs) |
---|
149 | BOOST_GRAPH_EVENT_STUB(on_examine_vertex,bfs) |
---|
150 | BOOST_GRAPH_EVENT_STUB(on_examine_edge,bfs) |
---|
151 | BOOST_GRAPH_EVENT_STUB(on_tree_edge,bfs) |
---|
152 | BOOST_GRAPH_EVENT_STUB(on_non_tree_edge,bfs) |
---|
153 | BOOST_GRAPH_EVENT_STUB(on_gray_target,bfs) |
---|
154 | BOOST_GRAPH_EVENT_STUB(on_black_target,bfs) |
---|
155 | BOOST_GRAPH_EVENT_STUB(on_finish_vertex,bfs) |
---|
156 | |
---|
157 | protected: |
---|
158 | Visitors m_vis; |
---|
159 | }; |
---|
160 | template <class Visitors> |
---|
161 | bfs_visitor<Visitors> |
---|
162 | make_bfs_visitor(Visitors vis) { |
---|
163 | return bfs_visitor<Visitors>(vis); |
---|
164 | } |
---|
165 | typedef bfs_visitor<> default_bfs_visitor; |
---|
166 | |
---|
167 | |
---|
168 | namespace detail { |
---|
169 | |
---|
170 | template <class VertexListGraph, class ColorMap, class BFSVisitor, |
---|
171 | class P, class T, class R> |
---|
172 | void bfs_helper |
---|
173 | (VertexListGraph& g, |
---|
174 | typename graph_traits<VertexListGraph>::vertex_descriptor s, |
---|
175 | ColorMap color, |
---|
176 | BFSVisitor vis, |
---|
177 | const bgl_named_params<P, T, R>& params) |
---|
178 | { |
---|
179 | typedef graph_traits<VertexListGraph> Traits; |
---|
180 | // Buffer default |
---|
181 | typedef typename Traits::vertex_descriptor Vertex; |
---|
182 | typedef boost::queue<Vertex> queue_t; |
---|
183 | queue_t Q; |
---|
184 | detail::wrap_ref<queue_t> Qref(Q); |
---|
185 | breadth_first_search |
---|
186 | (g, s, |
---|
187 | choose_param(get_param(params, buffer_param_t()), Qref).ref, |
---|
188 | vis, color); |
---|
189 | } |
---|
190 | |
---|
191 | //------------------------------------------------------------------------- |
---|
192 | // Choose between default color and color parameters. Using |
---|
193 | // function dispatching so that we don't require vertex index if |
---|
194 | // the color default is not being used. |
---|
195 | |
---|
196 | template <class ColorMap> |
---|
197 | struct bfs_dispatch { |
---|
198 | template <class VertexListGraph, class P, class T, class R> |
---|
199 | static void apply |
---|
200 | (VertexListGraph& g, |
---|
201 | typename graph_traits<VertexListGraph>::vertex_descriptor s, |
---|
202 | const bgl_named_params<P, T, R>& params, |
---|
203 | ColorMap color) |
---|
204 | { |
---|
205 | bfs_helper |
---|
206 | (g, s, color, |
---|
207 | choose_param(get_param(params, graph_visitor), |
---|
208 | make_bfs_visitor(null_visitor())), |
---|
209 | params); |
---|
210 | } |
---|
211 | }; |
---|
212 | |
---|
213 | template <> |
---|
214 | struct bfs_dispatch<detail::error_property_not_found> { |
---|
215 | template <class VertexListGraph, class P, class T, class R> |
---|
216 | static void apply |
---|
217 | (VertexListGraph& g, |
---|
218 | typename graph_traits<VertexListGraph>::vertex_descriptor s, |
---|
219 | const bgl_named_params<P, T, R>& params, |
---|
220 | detail::error_property_not_found) |
---|
221 | { |
---|
222 | std::vector<default_color_type> color_vec(num_vertices(g)); |
---|
223 | default_color_type c = white_color; |
---|
224 | null_visitor null_vis; |
---|
225 | |
---|
226 | bfs_helper |
---|
227 | (g, s, |
---|
228 | make_iterator_property_map |
---|
229 | (color_vec.begin(), |
---|
230 | choose_const_pmap(get_param(params, vertex_index), |
---|
231 | g, vertex_index), c), |
---|
232 | choose_param(get_param(params, graph_visitor), |
---|
233 | make_bfs_visitor(null_vis)), |
---|
234 | params); |
---|
235 | } |
---|
236 | }; |
---|
237 | |
---|
238 | } // namespace detail |
---|
239 | |
---|
240 | |
---|
241 | // Named Parameter Variant |
---|
242 | template <class VertexListGraph, class P, class T, class R> |
---|
243 | void breadth_first_search |
---|
244 | (const VertexListGraph& g, |
---|
245 | typename graph_traits<VertexListGraph>::vertex_descriptor s, |
---|
246 | const bgl_named_params<P, T, R>& params) |
---|
247 | { |
---|
248 | // The graph is passed by *const* reference so that graph adaptors |
---|
249 | // (temporaries) can be passed into this function. However, the |
---|
250 | // graph is not really const since we may write to property maps |
---|
251 | // of the graph. |
---|
252 | VertexListGraph& ng = const_cast<VertexListGraph&>(g); |
---|
253 | typedef typename property_value< bgl_named_params<P,T,R>, |
---|
254 | vertex_color_t>::type C; |
---|
255 | detail::bfs_dispatch<C>::apply(ng, s, params, |
---|
256 | get_param(params, vertex_color)); |
---|
257 | } |
---|
258 | |
---|
259 | |
---|
260 | // This version does not initialize colors, user has to. |
---|
261 | |
---|
262 | template <class IncidenceGraph, class P, class T, class R> |
---|
263 | void breadth_first_visit |
---|
264 | (const IncidenceGraph& g, |
---|
265 | typename graph_traits<IncidenceGraph>::vertex_descriptor s, |
---|
266 | const bgl_named_params<P, T, R>& params) |
---|
267 | { |
---|
268 | // The graph is passed by *const* reference so that graph adaptors |
---|
269 | // (temporaries) can be passed into this function. However, the |
---|
270 | // graph is not really const since we may write to property maps |
---|
271 | // of the graph. |
---|
272 | IncidenceGraph& ng = const_cast<IncidenceGraph&>(g); |
---|
273 | |
---|
274 | typedef graph_traits<IncidenceGraph> Traits; |
---|
275 | // Buffer default |
---|
276 | typedef typename Traits::vertex_descriptor vertex_descriptor; |
---|
277 | typedef boost::queue<vertex_descriptor> queue_t; |
---|
278 | queue_t Q; |
---|
279 | detail::wrap_ref<queue_t> Qref(Q); |
---|
280 | |
---|
281 | breadth_first_visit |
---|
282 | (ng, s, |
---|
283 | choose_param(get_param(params, buffer_param_t()), Qref).ref, |
---|
284 | choose_param(get_param(params, graph_visitor), |
---|
285 | make_bfs_visitor(null_visitor())), |
---|
286 | choose_pmap(get_param(params, vertex_color), ng, vertex_color) |
---|
287 | ); |
---|
288 | } |
---|
289 | |
---|
290 | } // namespace boost |
---|
291 | |
---|
292 | #endif // BOOST_GRAPH_BREADTH_FIRST_SEARCH_HPP |
---|
293 | |
---|