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3 Copyright (c) Jeremy Siek, Lie-Quan Lee, and Andrew Lumsdaine 2000
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9 <Head>
10 <Title>Boost Graph Library: Dijkstra Visitor</Title>
11 <BODY BGCOLOR="#ffffff" LINK="#0000ee" TEXT="#000000" VLINK="#551a8b"
12 ALINK="#ff0000">
13 <IMG SRC="../../../boost.png"
14 ALT="C++ Boost" width="277" height="86">
15
16 <BR Clear>
17
18 <H1><img src="figs/python.gif" alt="(Python)"/>Dijkstra Visitor Concept</H1>
19
20 This concept defines the visitor interface for <a
21 href="./dijkstra_shortest_paths.html"><tt>dijkstra_shortest_paths()</tt></a>
22 and related algorithms. The user can create a class that matches this
23 interface, and then pass objects of the class into
24 <tt>dijkstra_shortest_paths()</tt> to augment the actions taken during
25 the search.
26
27 <h3>Refinement of</h3>
28
29 <a href="../../utility/CopyConstructible.html">Copy Constructible</a>
30 (copying a visitor should be a lightweight operation).
31
32
33 <h3>Notation</h3>
34
35 <Table>
36 <TR>
37 <TD><tt>V</tt></TD>
38 <TD>A type that is a model of Dijkstra Visitor.</TD>
39 </TR>
40
41 <TR>
42 <TD><tt>vis</tt></TD>
43 <TD>An object of type <tt>V</tt>.</TD>
44 </TR>
45
46 <TR>
47 <TD><tt>G</tt></TD>
48 <TD>A type that is a model of Graph.</TD>
49 </TR>
50
51 <TR>
52 <TD><tt>g</tt></TD>
53 <TD>An object of type <tt>G</tt>.</TD>
54 </TR>
55
56 <TR>
57 <TD><tt>e</tt></TD>
58 <TD>An object of type <tt>boost::graph_traits&lt;G&gt;::edge_descriptor</tt>.</TD>
59 </TR>
60
61 <TR>
62 <TD><tt>s,u,v</tt></TD>
63 <TD>An object of type <tt>boost::graph_traits&lt;G&gt;::vertex_descriptor</tt>.</TD>
64 </TR>
65
66 <TR>
67 <TD><tt>DistanceMap</tt></TD>
68 <TD>A type that is a model of <a href="../../property_map/doc/ReadWritePropertyMap.html">Read/Write Property Map</a>.</TD>
69 </TR>
70
71 <TR>
72 <TD><tt>d</tt></TD>
73 <TD>An object of type <tt>DistanceMap</tt>.</TD>
74 </TR>
75
76 <TR>
77 <TD><tt>WeightMap</tt></TD>
78 <TD>A type that is a model of <a href="../../property_map/doc/ReadWritePropertyMap.html">Readable Property Map</a>.</TD>
79 </TR>
80
81 <TR>
82 <TD><tt>w</tt></TD>
83 <TD>An object of type <tt>WeightMap</tt>.</TD>
84 </TR>
85
86 </table>
87
88 <h3>Associated Types</h3>
89
90 none
91 <p>
92
93 <h3>Valid Expressions</h3>
94
95 <table border>
96 <tr>
97 <th>Name</th><th>Expression</th><th>Return Type</th><th>Description</th>
98 </tr>
99
100 <tr>
101 <td>Initialize Vertex</td>
102 <td><tt>vis.initialize_vertex(u, g)</tt></td>
103 <td><tt>void</tt></td>
104 <td>
105 This is invoked one each vertex of the graph when it is initialized.
106 </td>
107 </tr>
108
109 <tr>
110 <td>Examine Vertex</td>
111 <td><tt>vis.examine_vertex(u, g)</tt></td>
112 <td><tt>void</tt></td>
113 <td>
114 This is invoked on a vertex as it is popped from the queue. This
115 happens immediately before <tt>examine_edge()</tt> is invoked
116 on each of the out-edges of vertex <tt>u</tt>.
117 </td>
118 </tr>
119
120 <tr>
121 <td>Examine Edge</td>
122 <td><tt>vis.examine_edge(e, g)</tt></td>
123 <td><tt>void</tt></td>
124 <td>
125 This is invoked on every out-edge of each vertex after it is discovered.
126 </td>
127 </tr>
128
129 <tr>
130 <td>Discover Vertex</td>
131 <td><tt>vis.discover_vertex(u, g)</tt></td>
132 <td><tt>void</tt></td>
133 <td>
134 This is invoked when a vertex is encountered for the first time.
135 </td>
136 </tr>
137
138 <tr>
139 <td>Edge Relaxed</td>
140 <td><tt>vis.edge_relaxed(e, g)</tt></td>
141 <td><tt>void</tt></td>
142 <td>
143 Upon examination, if the following condition holds then the edge
144 is relaxed (its distance is reduced), and this method is invoked.<br>
145 <tt>
146 tie(u,v) = incident(e, g);<br>
147 D d_u = get(d, u), d_v = get(d, v);<br>
148 W w_e = get(w, e);<br>
149 assert(compare(combine(d_u, w_e), d_v));<br>
150 </tt>
151 </td>
152 </tr>
153
154 <tr>
155 <td>Edge Not Relaxed</td>
156 <td><tt>vis.edge_not_relaxed(e, g)</tt></td>
157 <td><tt>void</tt></td>
158 <td>
159 Upon examination, if the edge is not relaxed (see above) then
160 this method is invoked.
161 </td>
162 </tr>
163
164 <tr>
165 <td>Finish Vertex</td>
166 <td><tt>vis.finish_vertex(u, g)</tt></td>
167 <td><tt>void</tt></td>
168 <td>
169 This invoked on a vertex after all of its out edges have been added to the
170 search tree and all of the adjacent vertices have been discovered
171 (but before their out-edges have been examined).
172 </td>
173 </tr>
174
175 </table>
176
177 <h3>Models</h3>
178
179 <ul>
180 <li><a href="./dijkstra_visitor.html"><tt>dijkstra_visitor</tt></a>
181 </ul>
182
183 <a name="python"></a>
184 <h3>Python</h3>
185
186 To implement a model of the <tt>DijkstraVisitor</tt> concept in Python,
187 create a new class that derives from the <tt>DijkstraVisitor</tt> type of
188 the graph, which will be
189 named <tt><i>GraphType</i>.DijkstraVisitor</tt>. The events and syntax are
190 the same as with visitors in C++. Here is an example for the
191 Python <tt>bgl.Graph</tt> graph type:
192
193 <pre>
194 class count_tree_edges_dijkstra_visitor(bgl.Graph.DijkstraVisitor):
195 def __init__(self, name_map):
196 bgl.Graph.DijkstraVisitor.__init__(self)
197 self.name_map = name_map
198
199 def edge_relaxed(self, e, g):
200 (u, v) = (g.source(e), g.target(e))
201 print "Relaxed edge ",
202 print self.name_map[u],
203 print " -> ",
204 print self.name_map[v]
205 </pre>
206
207 <br>
208 <HR>
209 <TABLE>
210 <TR valign=top>
211 <TD nowrap>Copyright &copy; 2000-2001</TD><TD>
212 <A HREF="http://www.boost.org/people/jeremy_siek.htm">Jeremy Siek</A>,
213 Indiana University (<A
214 HREF="mailto:jsiek@osl.iu.edu">jsiek@osl.iu.edu</A>)<br>
215 <A HREF="http://www.boost.org/people/liequan_lee.htm">Lie-Quan Lee</A>, Indiana University (<A HREF="mailto:llee@cs.indiana.edu">llee@cs.indiana.edu</A>)<br>
216 <A HREF="http://www.osl.iu.edu/~lums">Andrew Lumsdaine</A>,
217 Indiana University (<A
218 HREF="mailto:lums@osl.iu.edu">lums@osl.iu.edu</A>)
219 </TD></TR></TABLE>
220
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