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<div class="title">CDirectedGraph.h</div>  </div>
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<a href="_c_directed_graph_8h.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/* +---------------------------------------------------------------------------+</span>
<a name="l00002"></a>00002 <span class="comment">   |          The Mobile Robot Programming Toolkit (MRPT) C++ library          |</span>
<a name="l00003"></a>00003 <span class="comment">   |                                                                           |</span>
<a name="l00004"></a>00004 <span class="comment">   |                       http://www.mrpt.org/                                |</span>
<a name="l00005"></a>00005 <span class="comment">   |                                                                           |</span>
<a name="l00006"></a>00006 <span class="comment">   |   Copyright (C) 2005-2011  University of Malaga                           |</span>
<a name="l00007"></a>00007 <span class="comment">   |                                                                           |</span>
<a name="l00008"></a>00008 <span class="comment">   |    This software was written by the Machine Perception and Intelligent    |</span>
<a name="l00009"></a>00009 <span class="comment">   |      Robotics Lab, University of Malaga (Spain).                          |</span>
<a name="l00010"></a>00010 <span class="comment">   |    Contact: Jose-Luis Blanco  &lt;jlblanco@ctima.uma.es&gt;                     |</span>
<a name="l00011"></a>00011 <span class="comment">   |                                                                           |</span>
<a name="l00012"></a>00012 <span class="comment">   |  This file is part of the MRPT project.                                   |</span>
<a name="l00013"></a>00013 <span class="comment">   |                                                                           |</span>
<a name="l00014"></a>00014 <span class="comment">   |     MRPT is free software: you can redistribute it and/or modify          |</span>
<a name="l00015"></a>00015 <span class="comment">   |     it under the terms of the GNU General Public License as published by  |</span>
<a name="l00016"></a>00016 <span class="comment">   |     the Free Software Foundation, either version 3 of the License, or     |</span>
<a name="l00017"></a>00017 <span class="comment">   |     (at your option) any later version.                                   |</span>
<a name="l00018"></a>00018 <span class="comment">   |                                                                           |</span>
<a name="l00019"></a>00019 <span class="comment">   |   MRPT is distributed in the hope that it will be useful,                 |</span>
<a name="l00020"></a>00020 <span class="comment">   |     but WITHOUT ANY WARRANTY; without even the implied warranty of        |</span>
<a name="l00021"></a>00021 <span class="comment">   |     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         |</span>
<a name="l00022"></a>00022 <span class="comment">   |     GNU General Public License for more details.                          |</span>
<a name="l00023"></a>00023 <span class="comment">   |                                                                           |</span>
<a name="l00024"></a>00024 <span class="comment">   |     You should have received a copy of the GNU General Public License     |</span>
<a name="l00025"></a>00025 <span class="comment">   |     along with MRPT.  If not, see &lt;http://www.gnu.org/licenses/&gt;.         |</span>
<a name="l00026"></a>00026 <span class="comment">   |                                                                           |</span>
<a name="l00027"></a>00027 <span class="comment">   +---------------------------------------------------------------------------+ */</span>
<a name="l00028"></a>00028 <span class="preprocessor">#ifndef  MRPT_DIRECTEDGRAPH_H</span>
<a name="l00029"></a>00029 <span class="preprocessor"></span><span class="preprocessor">#define  MRPT_DIRECTEDGRAPH_H</span>
<a name="l00030"></a>00030 <span class="preprocessor"></span>
<a name="l00031"></a>00031 <span class="preprocessor">#include &lt;<a class="code" href="utils__defs_8h.html">mrpt/utils/utils_defs.h</a>&gt;</span>
<a name="l00032"></a>00032 <span class="comment">//#include &lt;mrpt/math/utils.h&gt;</span>
<a name="l00033"></a>00033 
<a name="l00034"></a>00034 <span class="comment">/*---------------------------------------------------------------</span>
<a name="l00035"></a>00035 <span class="comment">        Class</span>
<a name="l00036"></a>00036 <span class="comment">  ---------------------------------------------------------------*/</span>
<a name="l00037"></a>00037 <span class="keyword">namespace </span>mrpt
<a name="l00038"></a>00038 {
<a name="l00039"></a>00039         <span class="keyword">namespace </span>graphs
<a name="l00040"></a>00040         {
<a name="l00041"></a>00041                 <span class="keyword">using</span> mrpt<a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">::utils::TNodeID</a>;
<a name="l00042"></a>00042                 <span class="keyword">using</span> mrpt<a class="code" href="namespacemrpt_1_1utils.html#aee71d7beb4d61406566af3847410d0e4" title="A pair of node IDs.">::utils::TPairNodeIDs</a>;
<a name="l00043"></a>00043 <span class="comment"></span>
<a name="l00044"></a>00044 <span class="comment">                /** \addtogroup mrpt_graphs_grp</span>
<a name="l00045"></a>00045 <span class="comment">                    @{ */</span>
<a name="l00046"></a>00046 
<a name="l00047"></a><a class="code" href="namespacemrpt_1_1graphs_1_1detail.html">00047</a>                 <span class="keyword">namespace </span>detail
<a name="l00048"></a>00048                 {<span class="comment"></span>
<a name="l00049"></a>00049 <span class="comment">                        /** An empty structure */</span>
<a name="l00050"></a>00050                         <span class="keyword">struct </span><a class="code" href="structmrpt_1_1graphs_1_1detail_1_1edge__annotations__empty.html" title="An empty structure.">edge_annotations_empty</a> {  };
<a name="l00051"></a>00051                 }
<a name="l00052"></a>00052 <span class="comment"></span>
<a name="l00053"></a>00053 <span class="comment">                /** A directed graph with the argument of the template specifying the type of the annotations in the edges.</span>
<a name="l00054"></a>00054 <span class="comment">                  *  This class only keeps a list of edges (in the member \a edges), so there is no information stored for each node but its existence referred by a node_ID.</span>
<a name="l00055"></a>00055 <span class="comment">                  *</span>
<a name="l00056"></a>00056 <span class="comment">                  *  Note that edges are stored as a std::multimap&lt;&gt; to allow &lt;b&gt;multiple edges&lt;/b&gt; between the same pair of nodes.</span>
<a name="l00057"></a>00057 <span class="comment">                  *</span>
<a name="l00058"></a>00058 <span class="comment">                  * \sa mrpt::math::CDijkstra, mrpt::graphs::CNetworkOfPoses, mrpt::graphs::CDirectedTree</span>
<a name="l00059"></a>00059 <span class="comment">                 * \ingroup mrpt_graphs_grp</span>
<a name="l00060"></a>00060 <span class="comment">                  */</span>
<a name="l00061"></a>00061                 <span class="keyword">template</span>&lt;<span class="keyword">class</span> TYPE_EDGES, <span class="keyword">class</span> EDGE_ANNOTATIONS = detail::edge_annotations_empty&gt;
<a name="l00062"></a>00062                 <span class="keyword">class </span><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html" title="A directed graph with the argument of the template specifying the type of the annotations in the edge...">CDirectedGraph</a>
<a name="l00063"></a>00063                 {
<a name="l00064"></a>00064                 <span class="keyword">public</span>:<span class="comment"></span>
<a name="l00065"></a>00065 <span class="comment">                        /** The type of each global pose in \a nodes: an extension of the \a TYPE_EDGES pose with any optional user-defined data */</span>
<a name="l00066"></a>00066                         <span class="keyword">struct </span>edge_t : <span class="keyword">public</span> TYPE_EDGES, <span class="keyword">public</span> EDGE_ANNOTATIONS
<a name="l00067"></a>00067                         {
<a name="l00068"></a>00068                                 <span class="comment">// Replicate possible constructors:</span>
<a name="l00069"></a><a class="code" href="structmrpt_1_1graphs_1_1_c_directed_graph_1_1edge__t.html#a25c89cb2fb42eea5a08cd8a85d31a33f">00069</a>                                 <span class="keyword">inline</span> <a class="code" href="structmrpt_1_1graphs_1_1_c_directed_graph_1_1edge__t.html#a25c89cb2fb42eea5a08cd8a85d31a33f">edge_t</a> () : TYPE_EDGES() { }
<a name="l00070"></a><a class="code" href="structmrpt_1_1graphs_1_1_c_directed_graph_1_1edge__t.html#ad521f69ac88981b2ace3114e7b48c09f">00070</a>                                 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> ARG1&gt; <span class="keyword">inline</span> <a class="code" href="structmrpt_1_1graphs_1_1_c_directed_graph_1_1edge__t.html#ad521f69ac88981b2ace3114e7b48c09f">edge_t</a> (<span class="keyword">const</span> ARG1 &amp;a1) : TYPE_EDGES(a1) { }
<a name="l00071"></a><a class="code" href="structmrpt_1_1graphs_1_1_c_directed_graph_1_1edge__t.html#ade469aa99dddad0fc579c8138beacd65">00071</a>                                 <span class="keyword">template</span> &lt;<span class="keyword">typename</span> ARG1,<span class="keyword">typename</span> ARG2&gt; <span class="keyword">inline</span> <a class="code" href="structmrpt_1_1graphs_1_1_c_directed_graph_1_1edge__t.html#ade469aa99dddad0fc579c8138beacd65">edge_t</a> (<span class="keyword">const</span> ARG1 &amp;a1,<span class="keyword">const</span> ARG2 &amp;a2) : TYPE_EDGES(a1,a2) { }
<a name="l00072"></a>00072                         };
<a name="l00073"></a>00073 
<a name="l00074"></a>00074 
<a name="l00075"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a61f20647604df391401a440bbcada042">00075</a>                         <span class="keyword">typedef</span> <span class="keyword">typename</span> mrpt<a class="code" href="classstd_1_1multimap.html" title="STL class.">::aligned_containers&lt;TPairNodeIDs,edge_t&gt;::multimap_t</a>      <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a61f20647604df391401a440bbcada042" title="The type of the member edges.">edges_map_t</a>;  <span class="comment">//!&lt; The type of the member \a edges</span>
<a name="l00076"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a79519246c2bf66e78eacaffa55ca0272">00076</a> <span class="comment"></span>                        <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classstd_1_1multimap.html" title="STL class.">edges_map_t</a><a class="code" href="classstd_1_1multimap_1_1iterator.html" title="STL iterator class.">::iterator</a>         <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a79519246c2bf66e78eacaffa55ca0272">iterator</a>;
<a name="l00077"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a8acbd51f416c2688ce308c7b04a0d41e">00077</a>                         <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classstd_1_1multimap.html" title="STL class.">edges_map_t</a><a class="code" href="classstd_1_1multimap_1_1const__iterator.html" title="STL iterator class.">::const_iterator</a>   <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a8acbd51f416c2688ce308c7b04a0d41e">const_iterator</a>;
<a name="l00078"></a>00078 <span class="comment"></span>
<a name="l00079"></a>00079 <span class="comment">                        /** The public member with the directed edges in the graph */</span>
<a name="l00080"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f">00080</a>                         <a class="code" href="classstd_1_1multimap.html" title="STL class.">edges_map_t</a>   <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>;
<a name="l00081"></a>00081 
<a name="l00082"></a>00082 
<a name="l00083"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a26820ef15775e01b82e64f4333a98115">00083</a>                         <span class="keyword">inline</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a26820ef15775e01b82e64f4333a98115" title="Copy constructor from a multimap&lt;pair&lt; &gt;, &gt;">CDirectedGraph</a>(<span class="keyword">const</span> <a class="code" href="classstd_1_1multimap.html" title="STL class.">edges_map_t</a> &amp;obj) : <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>(obj) { }  <span class="comment">//!&lt; Copy constructor from a multimap&lt;pair&lt; &gt;, &gt;</span>
<a name="l00084"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a7f6ab2dcf88a4d2efbe062d000f99d18">00084</a> <span class="comment"></span>                        <span class="keyword">inline</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a7f6ab2dcf88a4d2efbe062d000f99d18" title="Default constructor.">CDirectedGraph</a>() : <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>() {}  <span class="comment">//!&lt; Default constructor</span>
<a name="l00085"></a>00085 <span class="comment"></span>
<a name="l00086"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a00410afac8cede69cdc275ff3e4a1a30">00086</a>                         <span class="keyword">inline</span> <a class="code" href="classstd_1_1multimap_1_1iterator.html" title="STL iterator class.">iterator</a> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a00410afac8cede69cdc275ff3e4a1a30">begin</a>() { <span class="keywordflow">return</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.begin(); }
<a name="l00087"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a265aeeb118a342f8773badf2d0242d6d">00087</a>                         <span class="keyword">inline</span> <a class="code" href="classstd_1_1multimap_1_1iterator.html" title="STL iterator class.">iterator</a> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a265aeeb118a342f8773badf2d0242d6d">end</a>() { <span class="keywordflow">return</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.end(); }
<a name="l00088"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a9f0c17f5db14446650391ba6c37bd6cc">00088</a>                         <span class="keyword">inline</span> <a class="code" href="classstd_1_1multimap_1_1const__iterator.html" title="STL iterator class.">const_iterator</a> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a9f0c17f5db14446650391ba6c37bd6cc">begin</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.begin(); }
<a name="l00089"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a5c0aaefb7f5394d9ca8f9c3052df8a5f">00089</a>                         <span class="keyword">inline</span> <a class="code" href="classstd_1_1multimap_1_1const__iterator.html" title="STL iterator class.">const_iterator</a> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a5c0aaefb7f5394d9ca8f9c3052df8a5f">end</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.end(); }
<a name="l00090"></a>00090 
<a name="l00091"></a>00091 <span class="comment"></span>
<a name="l00092"></a>00092 <span class="comment">                        /** @name Edges/nodes utility methods</span>
<a name="l00093"></a>00093 <span class="comment">                                @{ */</span>
<a name="l00094"></a>00094 
<a name="l00095"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a5fbfb47dfb250f23acf3a7802a70dac3">00095</a>                         <span class="keyword">inline</span> <span class="keywordtype">size_t</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a5fbfb47dfb250f23acf3a7802a70dac3" title="The number of edges in the graph.">edgeCount</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.size(); }  <span class="comment">//!&lt; The number of edges in the graph</span>
<a name="l00096"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a0fbd2b4cc97be2a0e1a96c91e0727b8c">00096</a> <span class="comment"></span>                        <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a0fbd2b4cc97be2a0e1a96c91e0727b8c" title="Erase all edges.">clearEdges</a>() { <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.clear(); } <span class="comment">//!&lt; Erase all edges</span>
<a name="l00097"></a>00097 <span class="comment"></span>
<a name="l00098"></a>00098 <span class="comment"></span>
<a name="l00099"></a>00099 <span class="comment">                        /** Insert an edge (from -&gt; to) with the given edge value. \sa insertEdgeAtEnd */</span>
<a name="l00100"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a8db3c28b8b73e01cf5e38cef5b9ab1df">00100</a>                         <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a8db3c28b8b73e01cf5e38cef5b9ab1df" title="Insert an edge (from -&gt; to) with the given edge value.">insertEdge</a>(<a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> from_nodeID, <a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> to_nodeID,<span class="keyword">const</span> edge_t &amp;edge_value )
<a name="l00101"></a>00101                         {
<a name="l00102"></a>00102                                 EIGEN_ALIGN16 <span class="keyword">typename</span> <a class="code" href="classstd_1_1multimap.html" title="STL class.">edges_map_t</a><a class="code" href="eigen__plugins_8h.html#afd07186978da46f9908364e389f8a403" title="Type of the elements.">::value_type</a> entry(
<a name="l00103"></a>00103                                         std::make_pair(from_nodeID,to_nodeID),
<a name="l00104"></a>00104                                         edge_value);
<a name="l00105"></a>00105                                 <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.insert(entry);
<a name="l00106"></a>00106                         }
<a name="l00107"></a>00107 <span class="comment"></span>
<a name="l00108"></a>00108 <span class="comment">                        /** Insert an edge (from -&gt; to) with the given edge value (more efficient version to be called if you know that the end will go at the end of the sorted std::multimap). \sa insertEdge */</span>
<a name="l00109"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a69842cf7adcab68da36898d217fb1977">00109</a>                         <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a69842cf7adcab68da36898d217fb1977" title="Insert an edge (from -&gt; to) with the given edge value (more efficient version to be called if you kno...">insertEdgeAtEnd</a>(<a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> from_nodeID, <a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> to_nodeID,<span class="keyword">const</span> edge_t &amp;edge_value )
<a name="l00110"></a>00110                         {
<a name="l00111"></a>00111                                 EIGEN_ALIGN16 <span class="keyword">typename</span> <a class="code" href="classstd_1_1multimap.html" title="STL class.">edges_map_t</a><a class="code" href="eigen__plugins_8h.html#afd07186978da46f9908364e389f8a403" title="Type of the elements.">::value_type</a> entry(
<a name="l00112"></a>00112                                         std::make_pair(from_nodeID,to_nodeID),
<a name="l00113"></a>00113                                         edge_value);
<a name="l00114"></a>00114                                 <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.insert(<a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.end(), entry);
<a name="l00115"></a>00115                         }
<a name="l00116"></a>00116 <span class="comment"></span>
<a name="l00117"></a>00117 <span class="comment">                        /** Test is the given directed edge exists. */</span>
<a name="l00118"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a8d9be5feb0368b37f4598ce7a591a96c">00118</a>                         <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a8d9be5feb0368b37f4598ce7a591a96c" title="Test is the given directed edge exists.">edgeExists</a>(<a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> from_nodeID, <a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> to_nodeID)<span class="keyword"> const</span>
<a name="l00119"></a>00119 <span class="keyword">                        </span>{ <span class="keywordflow">return</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.find(std::make_pair(from_nodeID,to_nodeID))!=<a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.end(); }
<a name="l00120"></a>00120 <span class="comment"></span>
<a name="l00121"></a>00121 <span class="comment">                        /** Return a reference to the content of a given edge.</span>
<a name="l00122"></a>00122 <span class="comment">                          *  If several edges exist between the given nodes, the first one is returned.</span>
<a name="l00123"></a>00123 <span class="comment">                          * \exception std::exception if the given edge does not exist</span>
<a name="l00124"></a>00124 <span class="comment">                          * \sa getEdges</span>
<a name="l00125"></a>00125 <span class="comment">                          */</span>
<a name="l00126"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a2d858a4b74c090b99a3aa1f4c92e76d6">00126</a>                         edge_t &amp; <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a2d858a4b74c090b99a3aa1f4c92e76d6" title="Return a reference to the content of a given edge.">getEdge</a>(<a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> from_nodeID, <a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> to_nodeID)
<a name="l00127"></a>00127                         {
<a name="l00128"></a>00128                                 <a class="code" href="classstd_1_1multimap_1_1iterator.html" title="STL iterator class.">iterator</a> it = <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.find(std::make_pair(from_nodeID,to_nodeID));
<a name="l00129"></a>00129                                 <span class="keywordflow">if</span> (it==<a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.end())
<a name="l00130"></a>00130                                         <a class="code" href="mrpt__macros_8h.html#aaa3f404ea85a6575a7139f8d101370ba">THROW_EXCEPTION</a>( <a class="code" href="namespacemrpt.html#a3a27af794b658df5491e2b7678f8ccb8" title="A std::string version of C sprintf.">format</a>(<span class="stringliteral">&quot;Edge %u-&gt;%u does not exist&quot;</span>,(<span class="keywordtype">unsigned</span>)from_nodeID,(<span class="keywordtype">unsigned</span>)to_nodeID) )
<a name="l00131"></a>00131                                 <span class="keywordflow">else</span> <span class="keywordflow">return</span> it-&gt;second;
<a name="l00132"></a>00132                         }
<a name="l00133"></a>00133 <span class="comment"></span>
<a name="l00134"></a>00134 <span class="comment">                        /** Return a reference to the content of a given edge.</span>
<a name="l00135"></a>00135 <span class="comment">                          *  If several edges exist between the given nodes, the first one is returned.</span>
<a name="l00136"></a>00136 <span class="comment">                          * \exception std::exception if the given edge does not exist</span>
<a name="l00137"></a>00137 <span class="comment">                          * \sa getEdges</span>
<a name="l00138"></a>00138 <span class="comment">                          */</span>
<a name="l00139"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#ada6c10bb7f912abb084c2e4173845619">00139</a>                         <span class="keyword">const</span> edge_t &amp; <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a2d858a4b74c090b99a3aa1f4c92e76d6" title="Return a reference to the content of a given edge.">getEdge</a>(<a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> from_nodeID, <a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> to_nodeID)<span class="keyword"> const</span>
<a name="l00140"></a>00140 <span class="keyword">                        </span>{
<a name="l00141"></a>00141                                 <a class="code" href="classstd_1_1multimap_1_1const__iterator.html" title="STL iterator class.">const_iterator</a> it = <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.find(std::make_pair(from_nodeID,to_nodeID));
<a name="l00142"></a>00142                                 <span class="keywordflow">if</span> (it==<a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.end())
<a name="l00143"></a>00143                                         <a class="code" href="mrpt__macros_8h.html#aaa3f404ea85a6575a7139f8d101370ba">THROW_EXCEPTION</a>( <a class="code" href="namespacemrpt.html#a3a27af794b658df5491e2b7678f8ccb8" title="A std::string version of C sprintf.">format</a>(<span class="stringliteral">&quot;Edge %u-&gt;%u does not exist&quot;</span>,(<span class="keywordtype">unsigned</span>)from_nodeID,(<span class="keywordtype">unsigned</span>)to_nodeID) )
<a name="l00144"></a>00144                                 <span class="keywordflow">else</span> <span class="keywordflow">return</span> it-&gt;second;
<a name="l00145"></a>00145                         }
<a name="l00146"></a>00146 <span class="comment"></span>
<a name="l00147"></a>00147 <span class="comment">                        /** Return a pair&lt;first,last&gt; of iterators to the range of edges between two given nodes. \sa getEdge  */</span>
<a name="l00148"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#adf2bb3bd0774fee8fd3f14f7f316aaa1">00148</a>                         std::pair&lt;iterator,iterator&gt; <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#adf2bb3bd0774fee8fd3f14f7f316aaa1" title="Return a pair&lt;first,last&gt; of iterators to the range of edges between two given nodes.">getEdges</a>(<a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> from_nodeID, <a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> to_nodeID) {
<a name="l00149"></a>00149                                 <span class="keywordflow">return</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.equal_range( std::make_pair(from_nodeID,to_nodeID) );
<a name="l00150"></a>00150                         }<span class="comment"></span>
<a name="l00151"></a>00151 <span class="comment">                        /** Return a pair&lt;first,last&gt; of const iterators to the range of edges between two given nodes.  \sa getEdge */</span>
<a name="l00152"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a548e07d2c9b49ceb08610f3e4eca19dc">00152</a>                         std::pair&lt;const_iterator,const_iterator&gt; <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a548e07d2c9b49ceb08610f3e4eca19dc" title="Return a pair&lt;first,last&gt; of const iterators to the range of edges between two given nodes...">getEdges</a>(<a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> from_nodeID, <a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> to_nodeID)<span class="keyword"> const </span>{
<a name="l00153"></a>00153                                 <span class="keywordflow">return</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.equal_range( std::make_pair(from_nodeID,to_nodeID) );
<a name="l00154"></a>00154                         }
<a name="l00155"></a>00155 <span class="comment"></span>
<a name="l00156"></a>00156 <span class="comment">                        /** Erase all edges between the given nodes (it has no effect if no edge existed)</span>
<a name="l00157"></a>00157 <span class="comment">                          */</span>
<a name="l00158"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a9e072ff6281e3aacf318b84685fc2a55">00158</a>                         <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a9e072ff6281e3aacf318b84685fc2a55" title="Erase all edges between the given nodes (it has no effect if no edge existed)">eraseEdge</a>(<a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> from_nodeID, <a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> to_nodeID) {
<a name="l00159"></a>00159                                 <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.erase(std::make_pair(from_nodeID,to_nodeID));
<a name="l00160"></a>00160                         }
<a name="l00161"></a>00161 <span class="comment"></span>
<a name="l00162"></a>00162 <span class="comment">                        /** Return a list of all the node_ID&#39;s of the graph, generated from all the nodes that appear in the list of edges</span>
<a name="l00163"></a>00163 <span class="comment">                          */</span>
<a name="l00164"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#ad73f9ea9eaa069cf1b7000b8b560155e">00164</a>                         <span class="keywordtype">void</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a11fed5f0111f8a42f891f788aea8408e" title="Less efficient way to get all nodes that returns a copy of the set object.">getAllNodes</a>( <a class="code" href="classstd_1_1set.html">std::set&lt;TNodeID&gt;</a> &amp;lstNode_IDs)<span class="keyword"> const</span>
<a name="l00165"></a>00165 <span class="keyword">                        </span>{
<a name="l00166"></a>00166                                 lstNode_IDs.clear();
<a name="l00167"></a>00167                                 <span class="keywordflow">for</span> (<span class="keyword">typename</span> <a class="code" href="classstd_1_1multimap_1_1const__iterator.html" title="STL iterator class.">edges_map_t::const_iterator</a> it=<a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.begin();it!=<a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.end();++it)
<a name="l00168"></a>00168                                 {
<a name="l00169"></a>00169                                         lstNode_IDs.insert(it-&gt;first.first);
<a name="l00170"></a>00170                                         lstNode_IDs.insert(it-&gt;first.second);
<a name="l00171"></a>00171                                 }
<a name="l00172"></a>00172                         }
<a name="l00173"></a>00173 <span class="comment"></span>
<a name="l00174"></a>00174 <span class="comment">                        /** Less efficient way to get all nodes that returns a copy of the set object \sa getAllNodes( std::set&lt;TNodeID&gt; &amp;lstNode_IDs) */</span>
<a name="l00175"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a11fed5f0111f8a42f891f788aea8408e">00175</a>                         <span class="keyword">inline</span> std<a class="code" href="classstd_1_1set.html">::set&lt;TNodeID&gt;</a> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a11fed5f0111f8a42f891f788aea8408e" title="Less efficient way to get all nodes that returns a copy of the set object.">getAllNodes</a>()<span class="keyword"> const </span>{ std<a class="code" href="classstd_1_1set.html">::set&lt;TNodeID&gt;</a> lst; <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a11fed5f0111f8a42f891f788aea8408e" title="Less efficient way to get all nodes that returns a copy of the set object.">getAllNodes</a>(lst); <span class="keywordflow">return</span> lst; }
<a name="l00176"></a>00176 <span class="comment"></span>
<a name="l00177"></a>00177 <span class="comment">                        /** Count how many different node IDs appear in the graph edges.</span>
<a name="l00178"></a>00178 <span class="comment">                          */</span>
<a name="l00179"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#aac62b79ce4e35b186bf12427ef72f77e">00179</a>                         <span class="keywordtype">size_t</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#aac62b79ce4e35b186bf12427ef72f77e" title="Count how many different node IDs appear in the graph edges.">countDifferentNodesInEdges</a>()<span class="keyword"> const</span>
<a name="l00180"></a>00180 <span class="keyword">                        </span>{
<a name="l00181"></a>00181                                 std<a class="code" href="classstd_1_1set.html">::set&lt;TNodeID&gt;</a> aux;
<a name="l00182"></a>00182                                 <span class="keywordflow">for</span> (<span class="keyword">typename</span> <a class="code" href="classstd_1_1multimap_1_1const__iterator.html" title="STL iterator class.">edges_map_t::const_iterator</a> it=<a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.begin();it!=<a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.end();++it)
<a name="l00183"></a>00183                                 {
<a name="l00184"></a>00184                                         aux.insert(it-&gt;first.first);
<a name="l00185"></a>00185                                         aux.insert(it-&gt;first.second);
<a name="l00186"></a>00186                                 }
<a name="l00187"></a>00187                                 <span class="keywordflow">return</span> aux.size();
<a name="l00188"></a>00188                         }
<a name="l00189"></a>00189 <span class="comment"></span>
<a name="l00190"></a>00190 <span class="comment">                        /** Return the list of all neighbors of &quot;nodeID&quot;, by creating a list of their node IDs. \sa getAdjacencyMatrix */</span>
<a name="l00191"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#ab275c72b1763fb12b09f762e83ad6355">00191</a>                         <span class="keywordtype">void</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#ab275c72b1763fb12b09f762e83ad6355" title="Return the list of all neighbors of &quot;nodeID&quot;, by creating a list of their node IDs.">getNeighborsOf</a>(<span class="keyword">const</span> <a class="code" href="namespacemrpt_1_1utils.html#a718b4f99645b7e9f6501c9b7bb2a2fe7" title="The type for node IDs in graphs of different types.">TNodeID</a> nodeID, <a class="code" href="classstd_1_1set.html">std::set&lt;TNodeID&gt;</a> &amp;neighborIDs)<span class="keyword"> const</span>
<a name="l00192"></a>00192 <span class="keyword">                        </span>{
<a name="l00193"></a>00193                                 neighborIDs.clear();
<a name="l00194"></a>00194                                 <span class="keywordflow">for</span> (<span class="keyword">typename</span> <a class="code" href="classstd_1_1multimap_1_1const__iterator.html" title="STL iterator class.">edges_map_t::const_iterator</a> it=<a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.begin();it!=<a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.end();++it)
<a name="l00195"></a>00195                                 {
<a name="l00196"></a>00196                                         <span class="keywordflow">if</span> (it-&gt;first.first==nodeID)
<a name="l00197"></a>00197                                                 neighborIDs.insert(it-&gt;first.second);
<a name="l00198"></a>00198                                         <span class="keywordflow">else</span> <span class="keywordflow">if</span> (it-&gt;first.second==nodeID)
<a name="l00199"></a>00199                                                 neighborIDs.insert(it-&gt;first.first);
<a name="l00200"></a>00200                                 }
<a name="l00201"></a>00201                         }
<a name="l00202"></a>00202 <span class="comment"></span>
<a name="l00203"></a>00203 <span class="comment">                        /** Return a map from node IDs to all its neighbors (that is, connected nodes, regardless of the edge direction)</span>
<a name="l00204"></a>00204 <span class="comment">                          *  This is a much more efficient method than calling getNeighborsOf() for each node in the graph.</span>
<a name="l00205"></a>00205 <span class="comment">                          *  Possible values for the template argument MAP_NODEID_SET_NODEIDS are:</span>
<a name="l00206"></a>00206 <span class="comment">                          *    - std::map&lt;TNodeID, std::set&lt;TNodeID&gt; &gt;</span>
<a name="l00207"></a>00207 <span class="comment">                          *    - mrpt::utils::map_as_vector&lt;TNodeID, std::set&lt;TNodeID&gt; &gt;</span>
<a name="l00208"></a>00208 <span class="comment">                          * \sa getNeighborsOf</span>
<a name="l00209"></a>00209 <span class="comment">                          */</span>
<a name="l00210"></a>00210                         <span class="keyword">template</span> &lt;<span class="keyword">class</span> MAP_NODEID_SET_NODEIDS&gt;
<a name="l00211"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b05ec8c7974689a9013c142fe82b3e5">00211</a>                         <span class="keywordtype">void</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b05ec8c7974689a9013c142fe82b3e5" title="Return a map from node IDs to all its neighbors (that is, connected nodes, regardless of the edge dir...">getAdjacencyMatrix</a>( MAP_NODEID_SET_NODEIDS  &amp;outAdjacency )<span class="keyword"> const</span>
<a name="l00212"></a>00212 <span class="keyword">                        </span>{
<a name="l00213"></a>00213                                 outAdjacency.clear();
<a name="l00214"></a>00214                                 <span class="keywordflow">for</span> (<span class="keyword">typename</span> <a class="code" href="classstd_1_1multimap_1_1const__iterator.html" title="STL iterator class.">edges_map_t::const_iterator</a> it=<a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.begin();it!=<a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.end();++it)
<a name="l00215"></a>00215                                 {
<a name="l00216"></a>00216                                         outAdjacency[it-&gt;first.first].insert(it-&gt;first.second);
<a name="l00217"></a>00217                                         outAdjacency[it-&gt;first.second].insert(it-&gt;first.first);
<a name="l00218"></a>00218                                 }
<a name="l00219"></a>00219                         }
<a name="l00220"></a>00220 <span class="comment"></span>
<a name="l00221"></a>00221 <span class="comment">                        /** Just like \a getAdjacencyMatrix but return only the adjacency for those node_ids in the set \a onlyForTheseNodes</span>
<a name="l00222"></a>00222 <span class="comment">                          *  (both endings nodes of an edge must be within the set for it to be returned) */</span>
<a name="l00223"></a>00223                         <span class="keyword">template</span> &lt;<span class="keyword">class</span> MAP_NODEID_SET_NODEIDS,<span class="keyword">class</span> SET_NODEIDS&gt;
<a name="l00224"></a><a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a3434d7335a5ef1f2bf166c438a0e23ac">00224</a>                         <span class="keywordtype">void</span> <a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b05ec8c7974689a9013c142fe82b3e5" title="Return a map from node IDs to all its neighbors (that is, connected nodes, regardless of the edge dir...">getAdjacencyMatrix</a>( MAP_NODEID_SET_NODEIDS  &amp;outAdjacency, <span class="keyword">const</span> SET_NODEIDS &amp;onlyForTheseNodes )<span class="keyword"> const</span>
<a name="l00225"></a>00225 <span class="keyword">                        </span>{
<a name="l00226"></a>00226                                 outAdjacency.clear();
<a name="l00227"></a>00227                                 <span class="keyword">const</span> <span class="keyword">typename</span> SET_NODEIDS<a class="code" href="classstd_1_1multimap_1_1const__iterator.html" title="STL iterator class.">::const_iterator</a> setEnd = onlyForTheseNodes.end();
<a name="l00228"></a>00228                                 <span class="keywordflow">for</span> (<span class="keyword">typename</span> <a class="code" href="classstd_1_1multimap_1_1const__iterator.html" title="STL iterator class.">edges_map_t::const_iterator</a> it=<a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.begin();it!=<a class="code" href="classmrpt_1_1graphs_1_1_c_directed_graph.html#a6b82920b6172bcdaeb088c64a6c9a80f" title="The public member with the directed edges in the graph.">edges</a>.end();++it)
<a name="l00229"></a>00229                                 {
<a name="l00230"></a>00230                                         <span class="keywordflow">if</span> (onlyForTheseNodes.find(it-&gt;first.first)==setEnd || onlyForTheseNodes.find(it-&gt;first.second)==setEnd)
<a name="l00231"></a>00231                                                 <span class="keywordflow">continue</span>;
<a name="l00232"></a>00232                                         outAdjacency[it-&gt;first.first].insert(it-&gt;first.second);
<a name="l00233"></a>00233                                         outAdjacency[it-&gt;first.second].insert(it-&gt;first.first);
<a name="l00234"></a>00234                                 }
<a name="l00235"></a>00235                         }
<a name="l00236"></a>00236 <span class="comment"></span>
<a name="l00237"></a>00237 <span class="comment">                        /** @} */</span>  <span class="comment">// end of edge/nodes utilities</span>
<a name="l00238"></a>00238 
<a name="l00239"></a>00239                 }; <span class="comment">// end class CDirectedGraph</span>
<a name="l00240"></a>00240 <span class="comment"></span>
<a name="l00241"></a>00241 <span class="comment">                /** @} */</span>
<a name="l00242"></a>00242         } <span class="comment">// End of namespace</span>
<a name="l00243"></a>00243 } <span class="comment">// End of namespace</span>
<a name="l00244"></a>00244 <span class="preprocessor">#endif</span>
</pre></div></div>
</div>
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