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Boost-Commit : |
Subject: [Boost-commit] svn:boost r53327 - in trunk: boost/graph libs/graph/doc libs/graph/example libs/graph/test
From: jewillco_at_[hidden]
Date: 2009-05-27 16:54:26
Author: jewillco
Date: 2009-05-27 16:54:24 EDT (Wed, 27 May 2009)
New Revision: 53327
URL: http://svn.boost.org/trac/boost/changeset/53327
Log:
Added more updates, docs, and tests from Michael Hansen
Added:
trunk/libs/graph/doc/dijkstra_shortest_paths_no_color_map.html (contents, props changed)
trunk/libs/graph/example/dijkstra-no-color-map-example.cpp (contents, props changed)
trunk/libs/graph/test/dijkstra_no_color_map_compare.cpp (contents, props changed)
Text files modified:
trunk/boost/graph/dijkstra_shortest_paths_no_color_map.hpp | 329 ++++++++++++++++++++++++++-------------
trunk/libs/graph/doc/dijkstra_shortest_paths.html | 1
trunk/libs/graph/doc/table_of_contents.html | 1
trunk/libs/graph/test/Jamfile.v2 | 1
4 files changed, 219 insertions(+), 113 deletions(-)
Modified: trunk/boost/graph/dijkstra_shortest_paths_no_color_map.hpp
==============================================================================
--- trunk/boost/graph/dijkstra_shortest_paths_no_color_map.hpp (original)
+++ trunk/boost/graph/dijkstra_shortest_paths_no_color_map.hpp 2009-05-27 16:54:24 EDT (Wed, 27 May 2009)
@@ -20,127 +20,230 @@
namespace boost {
-template <typename Graph, typename DijkstraVisitor,
- typename PredecessorMap, typename DistanceMap,
- typename WeightMap, typename VertexIndexMap,
- typename DistanceCompare, typename DistanceWeightCombine,
- typename DistanceInfinity, typename DistanceZero>
-void dijkstra_shortest_paths_no_color_map
- (const Graph& graph,
- typename graph_traits<Graph>::vertex_descriptor start_vertex,
- PredecessorMap predecessor_map,
- DistanceMap distance_map,
- WeightMap weight_map,
- VertexIndexMap vertex_index_map,
- DistanceCompare distance_compare,
- DistanceWeightCombine distance_weight_combine,
- DistanceInfinity distance_infinity,
- DistanceZero distance_zero,
- DijkstraVisitor visitor)
-{
- typedef typename graph_traits<Graph>::vertex_descriptor Vertex;
- typedef typename property_traits<DistanceMap>::value_type Distance;
- typedef typename property_traits<WeightMap>::value_type Weight;
-
- typedef indirect_cmp<DistanceMap, DistanceCompare> DistanceIndirectCompare;
- DistanceIndirectCompare
- distance_indirect_compare(distance_map, distance_compare);
-
- // Choose vertex queue type
-#if BOOST_GRAPH_DIJKSTRA_USE_RELAXED_HEAP
- typedef relaxed_heap<Vertex, DistanceIndirectCompare, VertexIndexMap>
- VertexQueue;
- VertexQueue vertex_queue(num_vertices(graph),
- distance_indirect_compare,
- vertex_index_map);
-#else
- // Default - use d-ary heap (d = 4)
- typedef
- detail::vertex_property_map_generator<Graph, VertexIndexMap, std::size_t>
- IndexInHeapMapHelper;
- typedef typename IndexInHeapMapHelper::type IndexInHeapMap;
- typedef
- d_ary_heap_indirect<Vertex, 4, IndexInHeapMap, DistanceMap, DistanceCompare>
- VertexQueue;
-
- boost::scoped_array<std::size_t> index_in_heap_map_holder;
- IndexInHeapMap index_in_heap =
- IndexInHeapMapHelper::build(graph, vertex_index_map,
- index_in_heap_map_holder);
- VertexQueue vertex_queue(distance_map, index_in_heap, distance_compare);
-#endif
-
- // Initialize vertices
- BGL_FORALL_VERTICES_T(current_vertex, graph, Graph) {
- visitor.initialize_vertex(current_vertex, graph);
-
- // Default all distances to infinity
- put(distance_map, current_vertex, distance_infinity);
-
- // Default all vertex predecessors to the vertex itself
- put(predecessor_map, current_vertex, current_vertex);
+ // Full init version
+ template <typename Graph, typename DijkstraVisitor,
+ typename PredecessorMap, typename DistanceMap,
+ typename WeightMap, typename VertexIndexMap,
+ typename DistanceCompare, typename DistanceWeightCombine,
+ typename DistanceInfinity, typename DistanceZero>
+ void dijkstra_shortest_paths_no_color_map
+ (const Graph& graph,
+ typename graph_traits<Graph>::vertex_descriptor start_vertex,
+ PredecessorMap predecessor_map,
+ DistanceMap distance_map,
+ WeightMap weight_map,
+ VertexIndexMap index_map,
+ DistanceCompare distance_compare,
+ DistanceWeightCombine distance_weight_combine,
+ DistanceInfinity distance_infinity,
+ DistanceZero distance_zero,
+ DijkstraVisitor visitor)
+ {
+ // Initialize vertices
+ BGL_FORALL_VERTICES_T(current_vertex, graph, Graph) {
+ visitor.initialize_vertex(current_vertex, graph);
+
+ // Default all distances to infinity
+ put(distance_map, current_vertex, distance_infinity);
+
+ // Default all vertex predecessors to the vertex itself
+ put(predecessor_map, current_vertex, current_vertex);
+ }
+
+ // Set distance for start_vertex to zero
+ put(distance_map, start_vertex, distance_zero);
+
+ // Pass everything on to the no_init version
+ dijkstra_shortest_paths_no_color_map_no_init(graph,
+ start_vertex, predecessor_map, distance_map, weight_map,
+ index_map, distance_compare, distance_weight_combine,
+ distance_infinity, distance_zero, visitor);
}
- // Set distance for start_vertex to zero
- put(distance_map, start_vertex, distance_zero);
-
- // Add vertex to the queue
- vertex_queue.push(start_vertex);
-
- // Starting vertex will always be the first discovered vertex
- visitor.discover_vertex(start_vertex, graph);
-
- while (!vertex_queue.empty()) {
- Vertex min_vertex = vertex_queue.top();
- vertex_queue.pop();
-
- visitor.examine_vertex(min_vertex, graph);
-
- // Check if any other vertices can be reached
- Distance min_vertex_distance = get(distance_map, min_vertex);
+ // No init version
+ template <typename Graph, typename DijkstraVisitor,
+ typename PredecessorMap, typename DistanceMap,
+ typename WeightMap, typename VertexIndexMap,
+ typename DistanceCompare, typename DistanceWeightCombine,
+ typename DistanceInfinity, typename DistanceZero>
+ void dijkstra_shortest_paths_no_color_map_no_init
+ (const Graph& graph,
+ typename graph_traits<Graph>::vertex_descriptor start_vertex,
+ PredecessorMap predecessor_map,
+ DistanceMap distance_map,
+ WeightMap weight_map,
+ VertexIndexMap index_map,
+ DistanceCompare distance_compare,
+ DistanceWeightCombine distance_weight_combine,
+ DistanceInfinity distance_infinity,
+ DistanceZero distance_zero,
+ DijkstraVisitor visitor)
+ {
+ typedef typename graph_traits<Graph>::vertex_descriptor Vertex;
+ typedef typename property_traits<DistanceMap>::value_type Distance;
+ typedef typename property_traits<WeightMap>::value_type Weight;
- if (!distance_compare(min_vertex_distance, distance_infinity)) {
- // This is the minimum vertex, so all other vertices are unreachable
- return;
- }
-
- // Examine neighbors of min_vertex
- typedef typename graph_traits<Graph>::edge_descriptor Edge;
- typename graph_traits<Graph>::out_edge_iterator edge_iter, edge_iter_end;
- BGL_FORALL_OUTEDGES_T(min_vertex, current_edge, graph, Graph) {
- visitor.examine_edge(current_edge, graph);
+ typedef indirect_cmp<DistanceMap, DistanceCompare> DistanceIndirectCompare;
+ DistanceIndirectCompare
+ distance_indirect_compare(distance_map, distance_compare);
+
+ // Choose vertex queue type
+ #if BOOST_GRAPH_DIJKSTRA_USE_RELAXED_HEAP
+ typedef relaxed_heap<Vertex, DistanceIndirectCompare, VertexIndexMap>
+ VertexQueue;
+ VertexQueue vertex_queue(num_vertices(graph),
+ distance_indirect_compare,
+ index_map);
+ #else
+ // Default - use d-ary heap (d = 4)
+ typedef
+ detail::vertex_property_map_generator<Graph, VertexIndexMap, std::size_t>
+ IndexInHeapMapHelper;
+ typedef typename IndexInHeapMapHelper::type IndexInHeapMap;
+ typedef
+ d_ary_heap_indirect<Vertex, 4, IndexInHeapMap, DistanceMap, DistanceCompare>
+ VertexQueue;
+
+ boost::scoped_array<std::size_t> index_in_heap_map_holder;
+ IndexInHeapMap index_in_heap =
+ IndexInHeapMapHelper::build(graph, index_map,
+ index_in_heap_map_holder);
+ VertexQueue vertex_queue(distance_map, index_in_heap, distance_compare);
+ #endif
+
+ // Add vertex to the queue
+ vertex_queue.push(start_vertex);
+
+ // Starting vertex will always be the first discovered vertex
+ visitor.discover_vertex(start_vertex, graph);
+
+ while (!vertex_queue.empty()) {
+ Vertex min_vertex = vertex_queue.top();
+ vertex_queue.pop();
- // Check if the edge has a negative weight
- if (distance_compare(get(weight_map, current_edge), distance_zero)) {
- boost::throw_exception(negative_edge());
- }
+ visitor.examine_vertex(min_vertex, graph);
+
+ // Check if any other vertices can be reached
+ Distance min_vertex_distance = get(distance_map, min_vertex);
- Vertex neighbor_vertex = target(current_edge, graph);
- Distance neighbor_vertex_distance = get(distance_map, neighbor_vertex);
- bool is_neighbor_undiscovered =
- !distance_compare(neighbor_vertex_distance, distance_infinity);
-
- // Attempt to relax the edge
- bool was_edge_relaxed = relax(current_edge, graph, weight_map,
- predecessor_map, distance_map,
- distance_weight_combine, distance_compare);
-
- if (was_edge_relaxed) {
- vertex_queue.update(neighbor_vertex);
- visitor.edge_relaxed(current_edge, graph);
- } else {
- visitor.edge_not_relaxed(current_edge, graph);
+ if (!distance_compare(min_vertex_distance, distance_infinity)) {
+ // This is the minimum vertex, so all other vertices are unreachable
+ return;
}
+
+ // Examine neighbors of min_vertex
+ typedef typename graph_traits<Graph>::edge_descriptor Edge;
+ typename graph_traits<Graph>::out_edge_iterator edge_iter, edge_iter_end;
+ BGL_FORALL_OUTEDGES_T(min_vertex, current_edge, graph, Graph) {
+ visitor.examine_edge(current_edge, graph);
+
+ // Check if the edge has a negative weight
+ if (distance_compare(get(weight_map, current_edge), distance_zero)) {
+ boost::throw_exception(negative_edge());
+ }
+
+ // Extract the neighboring vertex and get its distance
+ Vertex neighbor_vertex = target(current_edge, graph);
+ Distance neighbor_vertex_distance = get(distance_map, neighbor_vertex);
+ bool is_neighbor_undiscovered =
+ !distance_compare(neighbor_vertex_distance, distance_infinity);
+
+ // Attempt to relax the edge
+ bool was_edge_relaxed = relax(current_edge, graph, weight_map,
+ predecessor_map, distance_map,
+ distance_weight_combine, distance_compare);
+
+ if (was_edge_relaxed) {
+ vertex_queue.update(neighbor_vertex);
+ visitor.edge_relaxed(current_edge, graph);
+ } else {
+ visitor.edge_not_relaxed(current_edge, graph);
+ }
+
+ if (is_neighbor_undiscovered) {
+ visitor.discover_vertex(neighbor_vertex, graph);
+ vertex_queue.push(neighbor_vertex);
+ }
+ } // end out edge iteration
+
+ visitor.finish_vertex(min_vertex, graph);
+ } // end while queue not empty
+ }
- if (is_neighbor_undiscovered) {
- visitor.discover_vertex(neighbor_vertex, graph);
- vertex_queue.push(neighbor_vertex);
- }
- } // end out edge iteration
+ namespace detail {
+
+ // Handle defaults for PredecessorMap, DistanceCompare,
+ // DistanceWeightCombine, DistanceInfinity and DistanceZero
+ template <typename Graph, typename DistanceMap, typename WeightMap,
+ typename VertexIndexMap, typename Params>
+ inline void
+ dijkstra_no_color_map_dispatch2
+ (const Graph& graph,
+ typename graph_traits<Graph>::vertex_descriptor start_vertex,
+ DistanceMap distance_map, WeightMap weight_map,
+ VertexIndexMap index_map, const Params& params)
+ {
+ // Default for predecessor map
+ dummy_property_map predecessor_map;
+
+ typedef typename property_traits<DistanceMap>::value_type DistanceType;
+ dijkstra_shortest_paths_no_color_map
+ (graph, start_vertex,
+ choose_param(get_param(params, vertex_predecessor), predecessor_map),
+ distance_map, weight_map, index_map,
+ choose_param(get_param(params, distance_compare_t()),
+ std::less<DistanceType>()),
+ choose_param(get_param(params, distance_combine_t()),
+ closed_plus<DistanceType>()),
+ choose_param(get_param(params, distance_inf_t()),
+ (std::numeric_limits<DistanceType>::max)()),
+ choose_param(get_param(params, distance_zero_t()),
+ DistanceType()),
+ choose_param(get_param(params, graph_visitor),
+ make_dijkstra_visitor(null_visitor())));
+ }
+
+ template <typename Graph, typename DistanceMap, typename WeightMap,
+ typename IndexMap, typename Params>
+ inline void
+ dijkstra_no_color_map_dispatch1
+ (const Graph& graph,
+ typename graph_traits<Graph>::vertex_descriptor start_vertex,
+ DistanceMap distance_map, WeightMap weight_map,
+ IndexMap index_map, const Params& params)
+ {
+ // Default for distance map
+ typedef typename property_traits<WeightMap>::value_type DistanceType;
+ typename std::vector<DistanceType>::size_type
+ vertex_count = is_default_param(distance_map) ? num_vertices(graph) : 1;
+
+ std::vector<DistanceType> default_distance_map(vertex_count);
+
+ detail::dijkstra_no_color_map_dispatch2
+ (graph, start_vertex, choose_param(distance_map,
+ make_iterator_property_map(default_distance_map.begin(), index_map,
+ default_distance_map[0])),
+ weight_map, index_map, params);
+ }
+ } // namespace detail
- visitor.finish_vertex(min_vertex, graph);
- } // end while queue not empty
-}
+ // Named parameter version
+ template <typename Graph, typename Param, typename Tag, typename Rest>
+ inline void
+ dijkstra_shortest_paths_no_color_map
+ (const Graph& graph,
+ typename graph_traits<Graph>::vertex_descriptor start_vertex,
+ const bgl_named_params<Param,Tag,Rest>& params)
+ {
+ // Default for edge weight and vertex index map is to ask for them
+ // from the graph. Default for the visitor is null_visitor.
+ detail::dijkstra_no_color_map_dispatch1
+ (graph, start_vertex,
+ get_param(params, vertex_distance),
+ choose_const_pmap(get_param(params, edge_weight), graph, edge_weight),
+ choose_const_pmap(get_param(params, vertex_index), graph, vertex_index),
+ params);
+ }
} // namespace boost
Modified: trunk/libs/graph/doc/dijkstra_shortest_paths.html
==============================================================================
--- trunk/libs/graph/doc/dijkstra_shortest_paths.html (original)
+++ trunk/libs/graph/doc/dijkstra_shortest_paths.html 2009-05-27 16:54:24 EDT (Wed, 27 May 2009)
@@ -19,6 +19,7 @@
<TT>dijkstra_shortest_paths</TT>
</H1>
+<p>See also dijkstra_shortest_paths_no_color_map
<P>
<PRE>
Added: trunk/libs/graph/doc/dijkstra_shortest_paths_no_color_map.html
==============================================================================
--- (empty file)
+++ trunk/libs/graph/doc/dijkstra_shortest_paths_no_color_map.html 2009-05-27 16:54:24 EDT (Wed, 27 May 2009)
@@ -0,0 +1,397 @@
+<HTML>
+<!--
+ Copyright (c) Michael Hansen 2009
+
+ Distributed under the Boost Software License, Version 1.0.
+ (See accompanying file LICENSE_1_0.txt or copy at
+ http://www.boost.org/LICENSE_1_0.txt)
+ -->
+<Head>
+<Title>Boost Graph Library: Dijkstra's Shortest Paths (No Color Map)</Title>
+<BODY BGCOLOR="#ffffff" LINK="#0000ee" TEXT="#000000" VLINK="#551a8b"
+ ALINK="#ff0000">
+<IMG SRC="../../../boost.png"
+ ALT="C++ Boost" width="277" height="86">
+
+<BR Clear>
+
+<H1><A NAME="sec:dijkstra"></A>
+<TT>dijkstra_shortest_paths_no_color_map</TT>
+</H1>
+
+<p>See also dijkstra_shortest_paths
+
+<P>
+<PRE>
+<i>// named parameter version</i>
+template <typename Graph, typename Param, typename Tag, typename Rest>
+void dijkstra_shortest_paths_no_color_map
+ (const Graph& graph,
+ typename graph_traits<Graph>::vertex_descriptor start_vertex,
+ const bgl_named_params<Param,Tag,Rest>& params);
+
+<i>// non-named parameter version</i>
+template <typename Graph, typename DijkstraVisitor,
+ typename PredecessorMap, typename DistanceMap,
+ typename WeightMap, typename VertexIndexMap, typename DistanceCompare, typename DistanceWeightCombine,
+ typename DistanceInfinity, typename DistanceZero>
+void dijkstra_shortest_paths_no_color_map
+ (const Graph& graph,
+ typename graph_traits<Graph>::vertex_descriptor start_vertex,
+ PredecessorMap predecessor_map, DistanceMap distance_map, WeightMap weight_map,
+ VertexIndexMap index_map,
+ DistanceCompare distance_compare, DistanceWeightCombine distance_weight_combine,
+ DistanceInfinity distance_infinity, DistanceZero distance_zero);
+
+<i>// version that does not initialize the property maps</i>
+template <typename Graph, typename DijkstraVisitor,
+ typename PredecessorMap, typename DistanceMap,
+ typename WeightMap, typename VertexIndexMap, typename DistanceCompare, typename DistanceWeightCombine,
+ typename DistanceInfinity, typename DistanceZero>
+void dijkstra_shortest_paths_no_color_map_no_init
+ (const Graph& graph,
+ typename graph_traits<Graph>::vertex_descriptor start_vertex,
+ PredecessorMap predecessor_map, DistanceMap distance_map, WeightMap weight_map,
+ VertexIndexMap index_map,
+ DistanceCompare distance_compare, DistanceWeightCombine distance_weight_combine,
+ DistanceInfinity distance_infinity, DistanceZero distance_zero);
+</PRE>
+
+<P>
+This algorithm [10,<A
+HREF="bibliography.html#clr90">8</A>] solves the single-source
+shortest-paths problem on a weighted, directed or undirected graph for
+the case where all edge weights are nonnegative. Use the Bellman-Ford
+algorithm for the case when some edge weights are negative. Use
+breadth-first search instead of Dijkstra's algorithm when all edge
+weights are equal to one. For the definition of the shortest-path
+problem see Section <A
+HREF="graph_theory_review.html#sec:shortest-paths-algorithms">Shortest-Paths
+Algorithms</A> for some background to the shortest-path problem.
+</P>
+
+<P>
+There are two main options for obtaining output from the
+<tt>dijkstra_shortest_paths_no_color_map()</tt> function. If you provide a
+distance property map through the <tt>distance_map()</tt> parameter
+then the shortest distance from the start vertex to every other
+vertex in the graph will be recorded in the distance map. Also you can
+record the shortest paths tree in a predecessor map: for each vertex
+<i>u in V</i>, <i>p[u]</i> will be the predecessor of <i>u</i> in
+the shortest paths tree (unless <i>p[u] = u</i>, in which case <i>u</i> is
+either the source or a vertex unreachable from the source). In
+addition to these two options, the user can provide their own
+custom-made visitor that takes actions during any of the
+algorithm's event points.</P>
+
+<P>
+Dijkstra's algorithm finds all the shortest paths from the source
+vertex to every other vertex by iteratively "growing" the set of
+vertices <i>S</i> to which it knows the shortest path. At each step of
+the algorithm, the next vertex added to <i>S</i> is determined by a
+priority queue. The queue contains the vertices in <i>V - S</i><a
+href="#1">[1]</a> prioritized by their distance label, which is the
+length of the shortest path seen so far for each vertex. The vertex
+<i>u</i> at the top of the priority queue is then added to <i>S</i>,
+and each of its out-edges is relaxed: if the distance to <i>u</i> plus
+the weight of the out-edge <i>(u,v)</i> is less than the distance
+label for <i>v</i> then the estimated distance for vertex <i>v</i> is
+reduced. The algorithm then loops back, processing the next vertex at
+the top of the priority queue. The algorithm finishes when the
+priority queue is empty.
+</P>
+<P>
+The algorithm uses the distance map to keep
+track of which set each vertex is in. Vertices with a non-infinite distance are in
+<i>S</i>. Vertices with an infinite distance are in <i>V-S</i> and have
+not yet been discovered.
+</P>
+<p>
+The following is the pseudo-code for Dijkstra's single-source shortest
+paths algorithm. <i>w</i> is the edge weight, <i>d</i> is the distance label,
+and <i>p</i> is the predecessor of each vertex which is used to encode
+the shortest paths tree. <i>Q</i> is a priority queue that supports the
+DECREASE-KEY operation. The visitor event points for the algorithm are
+indicated by the labels on the right.
+</p>
+
+<table>
+<tr>
+<td valign="top">
+<pre>
+DIJKSTRA(<i>G</i>, <i>s</i>, <i>w</i>)
+ <b>for</b> each vertex <i>u in V</i> <b>(This loop is not run in dijkstra_shortest_paths_no_color_map_no_init)</b>
+ <i>d[u] := infinity</i>
+ <i>p[u] := u</i>
+ <b>end for</b>
+ <i>d[s] := 0</i>
+ INSERT(<i>Q</i>, <i>s</i>)
+ <b>while</b> (<i>Q != Ø</i>)
+ <i>u :=</i> EXTRACT-MIN(<i>Q</i>)
+ <b>for</b> each vertex <i>v in Adj[u]</i>
+ <b>if</b> (<i>w(u,v) + d[u] < d[v]</i>)
+ <i>d[v] := w(u,v) + d[u]</i>
+ <i>p[v] := u</i>
+ DECREASE-KEY(<i>Q</i>, <i>v</i>)
+ <b>else</b>
+ ...
+ <b>if</b> (<i>d[v]</i> was originally infinity)
+ INSERT(<i>Q</i>, <i>v</i>)
+ <b>end for</b>
+ <b>end while</b>
+ return (<i>d</i>, <i>p</i>)
+</pre>
+</td>
+<td valign="top">
+<pre>
+
+initialize vertex <i>u</i>
+
+
+
+
+discover vertex <i>s</i>
+
+examine vertex <i>u</i>
+examine edge <i>(u,v)</i>
+
+edge <i>(u,v)</i> relaxed
+
+
+
+edge <i>(u,v)</i> not relaxed
+
+discover vertex <i>v</i>
+finish vertex <i>u</i>
+</pre>
+</td>
+</tr>
+</table>
+
+<h3>Where Defined</h3>
+
+boost/graph/dijkstra_shortest_paths_no_color_map.hpp
+
+<h3>Parameters</h3>
+
+IN: <tt>const Graph& graph</tt>
+<blockquote>
+ The graph object on which the algorithm will be applied.
+ The type <tt>Graph</tt> must be a model of
+ Vertex List Graph
+ and Incidence Graph.<br>
+</blockquote>
+
+IN: <tt>vertex_descriptor start_vertex</tt>
+<blockquote>
+ The source vertex. All distance will be calculated from this vertex,
+ and the shortest paths tree will be rooted at this vertex.<br>
+</blockquote>
+
+<h3>Named Parameters</h3>
+
+IN: <tt>weight_map(WeightMap weight_map)</tt>
+<blockquote>
+ The weight or ``length'' of each edge in the graph. The weights
+ must all be non-negative and non-infinite. The algorithm will throw a
+ negative_edge
+ exception is one of the edges is negative.
+ The type <tt>WeightMap</tt> must be a model of
+ Readable Property Map. The edge descriptor type of
+ the graph needs to be usable as the key type for the weight
+ map. The value type for this map must be
+ the same as the value type of the distance map.<br>
+ <b>Default:</b> <tt>get(edge_weight, graph)</tt><br>
+</blockquote>
+
+IN: <tt>index_map(VertexIndexMap index_map)</tt>
+<blockquote>
+ This maps each vertex to an integer in the range <tt>[0,
+ num_vertices(graph))</tt>. This is necessary for efficient updates of the
+ heap data structure [<A
+ HREF="bibliography.html#driscoll88">61</A>] when an edge is relaxed.
+ The type
+ <tt>VertexIndexMap</tt> must be a model of
+ Readable Property Map. The value type of the map must be an
+ integer type. The vertex descriptor type of the graph needs to be
+ usable as the key type of the map.<br>
+ <b>Default:</b> <tt>get(vertex_index, graph)</tt>.
+ Note: if you use this default, make sure your graph has
+ an internal <tt>vertex_index</tt> property. For example,
+ <tt>adjacenty_list</tt> with <tt>VertexList=listS</tt> does
+ not have an internal <tt>vertex_index</tt> property.
+ <br>
+</blockquote>
+
+OUT: <tt>predecessor_map(PredecessorMap predecessor_map)</tt>
+<blockquote>
+ The predecessor map records the edges in the minimum spanning
+ tree. Upon completion of the algorithm, the edges <i>(p[u],u)</i>
+ for all <i>u in V</i> are in the minimum spanning tree. If <i>p[u] =
+ u</i> then <i>u</i> is either the source vertex or a vertex that is
+ not reachable from the source. The <tt>PredecessorMap</tt> type
+ must be a <a
+ href="../../property_map/ReadWritePropertyMap.html">Read/Write
+ Property Map</a> whose key and value types are the same as the vertex
+ descriptor type of the graph.<br>
+ <b>Default:</b> <tt>dummy_property_map</tt><br>
+
+ <b>Python</b>: Must be a <tt>vertex_vertex_map</tt> for the graph.<br>
+</blockquote>
+
+UTIL/OUT: <tt>distance_map(DistanceMap distance_map)</tt>
+<blockquote>
+ The shortest path weight from the source vertex <tt>start_vertex</tt> to each
+ vertex in the graph <tt>graph</tt> is recorded in this property map. The
+ shortest path weight is the sum of the edge weights along the
+ shortest path. The type <tt>DistanceMap</tt> must be a model of <a
+ href="../../property_map/ReadWritePropertyMap.html">Read/Write
+ Property Map</a>. The vertex descriptor type of the graph needs to
+ be usable as the key type of the distance map.
+
+ The value type of the distance map is the element type of a <a
+ href="./Monoid.html">Monoid</a> formed with the <tt>distance_weight_combine</tt>
+ function object and the <tt>distance_zero</tt> object for the identity
+ element. Also the distance value type must have a <a
+ href="http://www.sgi.com/tech/stl/StrictWeakOrdering.html">
+ StrictWeakOrdering</a> provided by the <tt>distance_compare</tt> function
+ object.<br>
+ <b>Default:</b> <a
+ href="../../property_map/iterator_property_map.html">
+ <tt>iterator_property_map</tt></a> created from a
+ <tt>std::vector</tt> of the <tt>WeightMap</tt>'s value type of size
+ <tt>num_vertices(graph)</tt> and using the <tt>index_map</tt> for the index
+ map.<br>
+</blockquote>
+
+IN: <tt>distance_compare(CompareFunction distance_compare)</tt>
+<blockquote>
+ This function is use to compare distances to determine which vertex
+ is closer to the source vertex. The <tt>DistanceCompareFunction</tt> type
+ must be a model of <a
+ href="http://www.sgi.com/tech/stl/BinaryPredicate.html">Binary
+ Predicate</a> and have argument types that match the value type of
+ the <tt>DistanceMap</tt> property map.<br>
+
+ <b>Default:</b>
+ <tt>std::less<D></tt> with <tt>D=typename
+ property_traits<DistanceMap>::value_type</tt><br>
+</blockquote>
+
+IN: <tt>distance_combine(CombineFunction distance_weight_combine)</tt>
+<blockquote>
+ This function is used to combine distances to compute the distance
+ of a path. The <tt>DistanceWeightCombineFunction</tt> type must be a model of <a
+ href="http://www.sgi.com/tech/stl/BinaryFunction.html">Binary
+ Function</a>. The first argument type of the binary function must
+ match the value type of the <tt>DistanceMap</tt> property map and
+ the second argument type must match the value type of the
+ <tt>WeightMap</tt> property map. The result type must be the same
+ type as the distance value type.<br>
+
+ <b>Default:</b> <tt>boost::closed_plus<D></tt> with
+ <tt>D=typename property_traits<DistanceMap>::value_type</tt><br>
+</blockquote>
+
+IN: <tt>distance_inf(D distance_infinity)</tt>
+<blockquote>
+ The <tt>distance_infinity</tt> object must be the greatest value of any <tt>D</tt> object.
+ That is, <tt>distance_compare(d, distance_infinity) == true</tt> for any <tt>d != distance_infinity</tt>.
+ The type <tt>D</tt> is the value type of the <tt>DistanceMap</tt>.<br>
+ <b>Default:</b> <tt>std::numeric_limits<D>::max()</tt><br>
+</blockquote>
+
+IN: <tt>distance_zero(D distance_zero)</tt>
+<blockquote>
+ The <tt>distance_zero</tt> value must be the identity element for the
+ Monoid formed by the distance values
+ and the <tt>distance_weight_combine</tt> function object.
+ The type <tt>D</tt> is the value type of the <tt>DistanceMap</tt>.<br>
+ <b>Default:</b> <tt>D()</tt>with
+ <tt>D=typename property_traits<DistanceMap>::value_type</tt><br>
+</blockquote>
+
+OUT: <tt>visitor(DijkstraVisitor v)</tt>
+<blockquote>
+ Use this to specify actions that you would like to happen
+ during certain event points within the algorithm.
+ The type <tt>DijkstraVisitor</tt> must be a model of the
+ Dijkstra Visitor concept.
+ The visitor object is passed by value <a
+ href="#2">[2]</a>.<br>
+ <b>Default:</b> <tt>dijkstra_visitor<null_visitor></tt><br>
+</blockquote>
+
+
+<H3>Complexity</H3>
+
+<P>
+The time complexity is <i>O(V log V)</i>.
+
+
+<h3>Visitor Event Points</h3>
+
+<ul>
+<li><b><tt>vis.initialize_vertex(u, g)</tt></b>
+ is invoked on each vertex in the graph before the start of the
+ algorithm.
+<li><b><tt>vis.examine_vertex(u, g)</tt></b>
+ is invoked on a vertex as it is removed from the priority queue
+ and added to set <i>S</i>. At this point we know that <i>(p[u],u)</i>
+ is a shortest-paths tree edge so
+ <i>d[u] = delta(s,u) = d[p[u]] + w(p[u],u)</i>. Also, the distances
+ of the examined vertices is monotonically increasing
+ <i>d[u<sub>1</sub>] <= d[u<sub>2</sub>] <= d[u<sub>n</sub>]</i>.
+<li><b><tt>vis.examine_edge(e, g)</tt></b>
+ is invoked on each out-edge of a vertex immediately after it has
+ been added to set <i>S</i>.
+<li><b><tt>vis.edge_relaxed(e, g)</tt></b>
+ is invoked on edge <i>(u,v)</i> if <i>d[u] + w(u,v) < d[v]</i>.
+ The edge <i>(u,v)</i> that participated in the last
+ relaxation for vertex <i>v</i> is an edge in the shortest paths tree.
+<li><b><tt>vis.discover_vertex(v, g)</tt></b>
+ is invoked on vertex <i>v</i> when the edge
+ <i>(u,v)</i> is examined and <i>v</i> has not yet been discovered (i.e. its distance was infinity before relaxation was attempted on the edge). This
+ is also when the vertex is inserted into the priority queue.
+<li><b><tt>vis.edge_not_relaxed(e, g)</tt></b>
+ is invoked if the edge is not relaxed (see above).
+<li><b><tt>vis.finish_vertex(u, g)</tt></b>
+ is invoked on a vertex after all of its out edges have
+ been examined.
+</ul>
+
+<H3>Example</H3>
+
+<P>
+See <a href="../example/dijkstra-no-color-map-example.cpp">
+<TT>example/dijkstra-no-color-map-example.cpp</TT></a> for an example of using Dijkstra's algorithm.
+
+<H3>Notes</H3>
+
+<p>Based on the documentation for dijkstra_shortest_paths.
+
+<p><a name="1">[1]</a>
+The algorithm used here saves a little space by not putting all <i>V -
+S</i> vertices in the priority queue at once, but instead only those
+vertices in <i>V - S</i> that are discovered and therefore have a
+distance less than infinity.
+
+<p><a name="2">[2]</a>
+ Since the visitor parameter is passed by value, if your visitor
+ contains state then any changes to the state during the algorithm
+ will be made to a copy of the visitor object, not the visitor object
+ passed in. Therefore you may want the visitor to hold this state by
+ pointer or reference.
+
+<p><a name="3">[3]</a>
+ The algorithm will not work correctly if any of the edge weights are equal to infinity since the infinite distance value is used to determine if a vertex has been discovered.
+
+<br>
+<HR>
+<TABLE>
+<TR valign=top>
+<TD nowrap>Copyright © 2009</TD><TD>
+Trustees of Indiana University</TD></TR></TABLE>
+
+</BODY>
+</HTML>
Modified: trunk/libs/graph/doc/table_of_contents.html
==============================================================================
--- trunk/libs/graph/doc/table_of_contents.html (original)
+++ trunk/libs/graph/doc/table_of_contents.html 2009-05-27 16:54:24 EDT (Wed, 27 May 2009)
@@ -141,6 +141,7 @@
<LI>Shortest Paths Algorithms
<OL>
<LI>dijkstra_shortest_paths
+ <LI>dijkstra_shortest_paths_no_color_map
<LI>bellman_ford_shortest_paths
<LI>dag_shortest_paths
<LI><A
Added: trunk/libs/graph/example/dijkstra-no-color-map-example.cpp
==============================================================================
--- (empty file)
+++ trunk/libs/graph/example/dijkstra-no-color-map-example.cpp 2009-05-27 16:54:24 EDT (Wed, 27 May 2009)
@@ -0,0 +1,99 @@
+//=======================================================================
+// Copyright 2001 Jeremy G. Siek, Andrew Lumsdaine, Lie-Quan Lee
+// Copyright 2009 Trustees of Indiana University.
+// Copyright 2001 Jeremy G. Siek, Andrew Lumsdaine, Lie-Quan Lee,
+//
+// Distributed under the Boost Software License, Version 1.0. (See
+// accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+//
+// NOTE: Based off of dijkstra-example.cpp
+//=======================================================================
+#include <boost/config.hpp>
+#include <iostream>
+#include <fstream>
+
+#include <boost/graph/graph_traits.hpp>
+#include <boost/graph/adjacency_list.hpp>
+#include <boost/graph/dijkstra_shortest_paths_no_color_map.hpp>
+
+using namespace boost;
+
+int
+main(int, char *[])
+{
+ typedef adjacency_list < listS, vecS, directedS,
+ no_property, property < edge_weight_t, int > > graph_t;
+ typedef graph_traits < graph_t >::vertex_descriptor vertex_descriptor;
+ typedef graph_traits < graph_t >::edge_descriptor edge_descriptor;
+ typedef std::pair<int, int> Edge;
+
+ const int num_nodes = 5;
+ enum nodes { A, B, C, D, E };
+ char name[] = "ABCDE";
+ Edge edge_array[] = { Edge(A, C), Edge(B, B), Edge(B, D), Edge(B, E),
+ Edge(C, B), Edge(C, D), Edge(D, E), Edge(E, A), Edge(E, B)
+ };
+ int weights[] = { 1, 2, 1, 2, 7, 3, 1, 1, 1 };
+ int num_arcs = sizeof(edge_array) / sizeof(Edge);
+#if defined(BOOST_MSVC) && BOOST_MSVC <= 1300
+ graph_t g(num_nodes);
+ property_map<graph_t, edge_weight_t>::type weightmap = get(edge_weight, g);
+ for (std::size_t j = 0; j < num_arcs; ++j) {
+ edge_descriptor e; bool inserted;
+ tie(e, inserted) = add_edge(edge_array[j].first, edge_array[j].second, g);
+ weightmap[e] = weights[j];
+ }
+#else
+ graph_t g(edge_array, edge_array + num_arcs, weights, num_nodes);
+ property_map<graph_t, edge_weight_t>::type weightmap = get(edge_weight, g);
+#endif
+ std::vector<vertex_descriptor> p(num_vertices(g));
+ std::vector<int> d(num_vertices(g));
+ vertex_descriptor s = vertex(A, g);
+
+#if defined(BOOST_MSVC) && BOOST_MSVC <= 1300
+ // VC++ has trouble with the named parameters mechanism
+ property_map<graph_t, vertex_index_t>::type indexmap = get(vertex_index, g);
+ dijkstra_shortest_paths_no_color_map(g, s, &p[0], &d[0], weightmap,
+ indexmap, std::less<int>(),
+ closed_plus<int>(),
+ (std::numeric_limits<int>::max)(), 0,
+ default_dijkstra_visitor());
+#else
+ dijkstra_shortest_paths_no_color_map(g, s, predecessor_map(&p[0]).distance_map(&d[0]));
+#endif
+
+ std::cout << "distances and parents:" << std::endl;
+ graph_traits < graph_t >::vertex_iterator vi, vend;
+ for (tie(vi, vend) = vertices(g); vi != vend; ++vi) {
+ std::cout << "distance(" << name[*vi] << ") = " << d[*vi] << ", ";
+ std::cout << "parent(" << name[*vi] << ") = " << name[p[*vi]] << std::
+ endl;
+ }
+ std::cout << std::endl;
+
+ std::ofstream dot_file("figs/dijkstra-no-color-map-eg.dot");
+
+ dot_file << "digraph D {\n"
+ << " rankdir=LR\n"
+ << " size=\"4,3\"\n"
+ << " ratio=\"fill\"\n"
+ << " edge[style=\"bold\"]\n" << " node[shape=\"circle\"]\n";
+
+ graph_traits < graph_t >::edge_iterator ei, ei_end;
+ for (tie(ei, ei_end) = edges(g); ei != ei_end; ++ei) {
+ graph_traits < graph_t >::edge_descriptor e = *ei;
+ graph_traits < graph_t >::vertex_descriptor
+ u = source(e, g), v = target(e, g);
+ dot_file << name[u] << " -> " << name[v]
+ << "[label=\"" << get(weightmap, e) << "\"";
+ if (p[v] == u)
+ dot_file << ", color=\"black\"";
+ else
+ dot_file << ", color=\"grey\"";
+ dot_file << "]";
+ }
+ dot_file << "}";
+ return EXIT_SUCCESS;
+}
Modified: trunk/libs/graph/test/Jamfile.v2
==============================================================================
--- trunk/libs/graph/test/Jamfile.v2 (original)
+++ trunk/libs/graph/test/Jamfile.v2 2009-05-27 16:54:24 EDT (Wed, 27 May 2009)
@@ -49,6 +49,7 @@
[ compile dfs_cc.cpp ]
[ compile dijkstra_cc.cpp ]
[ run dijkstra_heap_performance.cpp : 10000 ]
+ [ run dijkstra_no_color_map_compare.cpp : 10000 ]
[ run dominator_tree_test.cpp ]
[ run relaxed_heap_test.cpp : 5000 15000 ]
[ compile edge_list_cc.cpp ]
Added: trunk/libs/graph/test/dijkstra_no_color_map_compare.cpp
==============================================================================
--- (empty file)
+++ trunk/libs/graph/test/dijkstra_no_color_map_compare.cpp 2009-05-27 16:54:24 EDT (Wed, 27 May 2009)
@@ -0,0 +1,124 @@
+//=======================================================================
+// Copyright 2009 Trustees of Indiana University.
+// Authors: Michael Hansen
+//
+// Distributed under the Boost Software License, Version 1.0. (See
+// accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+//=======================================================================
+
+#include <iostream>
+#include <map>
+#include <vector>
+
+#include <boost/lexical_cast.hpp>
+#include <boost/random.hpp>
+#include <boost/graph/adjacency_list.hpp>
+#include <boost/graph/dijkstra_shortest_paths.hpp>
+#include <boost/graph/dijkstra_shortest_paths_no_color_map.hpp>
+#include <boost/graph/iteration_macros.hpp>
+#include <boost/graph/properties.hpp>
+#include <boost/graph/random.hpp>
+#include <boost/test/minimal.hpp>
+
+#define INITIALIZE_VERTEX 0
+#define DISCOVER_VERTEX 1
+#define EXAMINE_VERTEX 2
+#define EXAMINE_EDGE 3
+#define EDGE_RELAXED 4
+#define EDGE_NOT_RELAXED 5
+#define FINISH_VERTEX 6
+
+template <typename Graph>
+void run_dijkstra_test(const Graph& graph)
+{
+ using namespace boost;
+
+ // Set up property maps
+ typedef typename graph_traits<Graph>::vertex_descriptor vertex_t;
+
+ typedef typename std::map<vertex_t, vertex_t> vertex_map_t;
+ typedef associative_property_map<vertex_map_t> predecessor_map_t;
+ vertex_map_t default_vertex_map, no_color_map_vertex_map;
+ predecessor_map_t default_predecessor_map(default_vertex_map),
+ no_color_map_predecessor_map(no_color_map_vertex_map);
+
+ typedef typename std::map<vertex_t, double> vertex_double_map_t;
+ typedef associative_property_map<vertex_double_map_t> distance_map_t;
+ vertex_double_map_t default_vertex_double_map, no_color_map_vertex_double_map;
+ distance_map_t default_distance_map(default_vertex_double_map),
+ no_color_map_distance_map(no_color_map_vertex_double_map);
+
+ // Run dijkstra algoirthms
+ dijkstra_shortest_paths(graph, vertex(0, graph),
+ predecessor_map(default_predecessor_map)
+ .distance_map(default_distance_map));
+
+ dijkstra_shortest_paths_no_color_map(graph, vertex(0, graph),
+ predecessor_map(no_color_map_predecessor_map)
+ .distance_map(no_color_map_distance_map));
+
+ // Verify that predecessor maps are equal
+ BOOST_CHECK(std::equal(default_vertex_map.begin(), default_vertex_map.end(),
+ no_color_map_vertex_map.begin()));
+
+ // Verify that distance maps are equal
+ BOOST_CHECK(std::equal(default_vertex_double_map.begin(), default_vertex_double_map.end(),
+ no_color_map_vertex_double_map.begin()));
+}
+
+int test_main(int argc, char* argv[])
+{
+ using namespace boost;
+
+ int vertices_to_create = 10;
+ int edges_to_create = 500;
+ std::size_t random_seed = time(0);
+
+ if (argc > 1) {
+ vertices_to_create = lexical_cast<int>(argv[1]);
+ }
+
+ if (argc > 2) {
+ edges_to_create = lexical_cast<int>(argv[2]);
+ }
+
+ if (argc > 3) {
+ random_seed = lexical_cast<std::size_t>(argv[3]);
+ }
+
+ minstd_rand generator(random_seed);
+
+ // Set up graph
+ typedef adjacency_list<listS, listS, directedS,
+ property<vertex_index_t, int >,
+ property<edge_weight_t, double> > graph_t;
+
+ typedef graph_traits<graph_t>::vertex_descriptor vertex_t;
+ typedef graph_traits<graph_t>::edge_descriptor edge_t;
+
+ graph_t graph;
+ generate_random_graph(graph, vertices_to_create, edges_to_create, generator);
+
+ // Set up property maps
+ typedef property_map<graph_t, vertex_index_t>::type index_map_t;
+ index_map_t index_map = get(vertex_index, graph);
+ int vertex_index = 0;
+
+ BGL_FORALL_VERTICES(current_vertex, graph, graph_t) {
+ put(index_map, current_vertex, vertex_index++);
+ }
+
+ typedef property_map<graph_t, edge_weight_t>::type weight_map_t;
+ weight_map_t weight_map = get(edge_weight, graph);
+ randomize_property<edge_weight_t>(graph, generator);
+
+ // Run comparison test with original dijkstra_shortest_paths
+ std::cout << "Running dijkstra shortest paths test with " << num_vertices(graph) <<
+ " vertices and " << num_edges(graph) << " edges " << std::endl;
+
+ run_dijkstra_test(graph);
+
+ return 0;
+}
+
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