320 lines
13 KiB
C++
320 lines
13 KiB
C++
//
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//=======================================================================
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// Copyright 2012 Fernando Vilas
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// 2010 Daniel Trebbien
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//
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// Distributed under the Boost Software License, Version 1.0. (See
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// accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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//=======================================================================
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//
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// The maximum adjacency search algorithm was originally part of the
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// Stoer-Wagner min cut implementation by Daniel Trebbien. It has been
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// broken out into its own file to be a public search algorithm, with
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// visitor concepts.
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#ifndef BOOST_GRAPH_MAXIMUM_ADJACENCY_SEARCH_H
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#define BOOST_GRAPH_MAXIMUM_ADJACENCY_SEARCH_H
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/**
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* This is an implementation of the maximum adjacency search on an
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* undirected graph. It allows a visitor object to perform some
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* operation on each vertex as that vertex is visited.
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*
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* The algorithm runs as follows:
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*
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* Initialize all nodes to be unvisited (reach count = 0)
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* and call vis.initialize_vertex
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* For i = number of nodes in graph downto 1
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* Select the unvisited node with the highest reach count
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* The user provides the starting node to break the first tie,
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* but future ties are broken arbitrarily
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* Visit the node by calling vis.start_vertex
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* Increment the reach count for all unvisited neighbors
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* and call vis.examine_edge for each of these edges
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* Mark the node as visited and call vis.finish_vertex
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*
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*/
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#include <boost/concept_check.hpp>
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#include <boost/concept/assert.hpp>
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#include <boost/graph/buffer_concepts.hpp>
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#include <boost/graph/exception.hpp>
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#include <boost/graph/graph_concepts.hpp>
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#include <boost/graph/iteration_macros.hpp>
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#include <boost/graph/named_function_params.hpp>
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#include <boost/graph/visitors.hpp>
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#include <boost/tuple/tuple.hpp>
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#include <set>
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namespace boost {
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template <class Visitor, class Graph>
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struct MASVisitorConcept {
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void constraints() {
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boost::function_requires< boost::CopyConstructibleConcept<Visitor> >();
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vis.initialize_vertex(u, g);
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vis.start_vertex(u, g);
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vis.examine_edge(e, g);
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vis.finish_vertex(u, g);
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}
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Visitor vis;
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Graph g;
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typename boost::graph_traits<Graph>::vertex_descriptor u;
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typename boost::graph_traits<Graph>::edge_descriptor e;
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};
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template <class Visitors = null_visitor>
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class mas_visitor {
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public:
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mas_visitor() { }
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mas_visitor(Visitors vis) : m_vis(vis) { }
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template <class Vertex, class Graph>
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void
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initialize_vertex(Vertex u, Graph& g)
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{
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invoke_visitors(m_vis, u, g, ::boost::on_initialize_vertex());
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}
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template <class Vertex, class Graph>
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void
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start_vertex(Vertex u, Graph& g)
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{
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invoke_visitors(m_vis, u, g, ::boost::on_start_vertex());
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}
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template <class Edge, class Graph>
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void
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examine_edge(Edge e, Graph& g)
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{
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invoke_visitors(m_vis, e, g, ::boost::on_examine_edge());
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}
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template <class Vertex, class Graph>
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void
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finish_vertex(Vertex u, Graph& g)
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{
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invoke_visitors(m_vis, u, g, ::boost::on_finish_vertex());
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}
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BOOST_GRAPH_EVENT_STUB(on_initialize_vertex,mas)
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BOOST_GRAPH_EVENT_STUB(on_start_vertex,mas)
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BOOST_GRAPH_EVENT_STUB(on_examine_edge,mas)
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BOOST_GRAPH_EVENT_STUB(on_finish_vertex,mas)
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protected:
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Visitors m_vis;
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};
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template <class Visitors>
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mas_visitor<Visitors>
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make_mas_visitor(Visitors vis) {
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return mas_visitor<Visitors>(vis);
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}
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typedef mas_visitor<> default_mas_visitor;
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namespace detail {
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template <class Graph, class WeightMap, class MASVisitor, class VertexAssignmentMap, class KeyedUpdatablePriorityQueue>
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void
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maximum_adjacency_search(const Graph& g, WeightMap weights, MASVisitor vis, const typename boost::graph_traits<Graph>::vertex_descriptor start, VertexAssignmentMap assignments, KeyedUpdatablePriorityQueue pq) {
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typedef typename boost::graph_traits<Graph>::vertex_descriptor vertex_descriptor;
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typedef typename boost::property_traits<WeightMap>::value_type weight_type;
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std::set<vertex_descriptor> assignedVertices;
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// initialize `assignments` (all vertices are initially
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// assigned to themselves)
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BGL_FORALL_VERTICES_T(v, g, Graph) {
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put(assignments, v, v);
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}
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typename KeyedUpdatablePriorityQueue::key_map keys = pq.keys();
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// set number of visited neighbors for all vertices to 0
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BGL_FORALL_VERTICES_T(v, g, Graph) {
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if (v == get(assignments, v)) { // foreach u \in V do
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put(keys, v, weight_type(0)); vis.initialize_vertex(v, g);
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pq.push(v);
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}
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}
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BOOST_ASSERT(pq.size() >= 2);
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// Give the starting vertex high priority
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put(keys, start, get(keys, start) + num_vertices(g) + 1);
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pq.update(start);
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// start traversing the graph
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//vertex_descriptor s, t;
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weight_type w;
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while (!pq.empty()) { // while PQ \neq {} do
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const vertex_descriptor u = pq.top(); // u = extractmax(PQ)
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w = get(keys, u); vis.start_vertex(u, g);
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pq.pop(); // vis.start_vertex(u, g);
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BGL_FORALL_OUTEDGES_T(u, e, g, Graph) { // foreach (u, v) \in E do
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vis.examine_edge(e, g);
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const vertex_descriptor v = get(assignments, target(e, g));
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if (pq.contains(v)) { // if v \in PQ then
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put(keys, v, get(keys, v) + get(weights, e)); // increasekey(PQ, v, wA(v) + w(u, v))
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pq.update(v);
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}
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}
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typename std::set<vertex_descriptor>::const_iterator assignedVertexIt, assignedVertexEnd = assignedVertices.end();
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for (assignedVertexIt = assignedVertices.begin(); assignedVertexIt != assignedVertexEnd; ++assignedVertexIt) {
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const vertex_descriptor uPrime = *assignedVertexIt;
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if (get(assignments, uPrime) == u) {
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BGL_FORALL_OUTEDGES_T(uPrime, e, g, Graph) { // foreach (u, v) \in E do
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vis.examine_edge(e, g);
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const vertex_descriptor v = get(assignments, target(e, g));
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if (pq.contains(v)) { // if v \in PQ then
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put(keys, v, get(keys, v) + get(weights, e)); // increasekey(PQ, v, wA(v) + w(u, v))
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pq.update(v);
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}
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}
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}
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}
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vis.finish_vertex(u, g);
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}
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}
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} // end namespace detail
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template <class Graph, class WeightMap, class MASVisitor, class VertexAssignmentMap, class KeyedUpdatablePriorityQueue>
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void
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maximum_adjacency_search(const Graph& g, WeightMap weights, MASVisitor vis, const typename boost::graph_traits<Graph>::vertex_descriptor start, VertexAssignmentMap assignments, KeyedUpdatablePriorityQueue pq) {
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BOOST_CONCEPT_ASSERT((boost::IncidenceGraphConcept<Graph>));
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BOOST_CONCEPT_ASSERT((boost::VertexListGraphConcept<Graph>));
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typedef typename boost::graph_traits<Graph>::vertex_descriptor vertex_descriptor;
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typedef typename boost::graph_traits<Graph>::vertices_size_type vertices_size_type;
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typedef typename boost::graph_traits<Graph>::edge_descriptor edge_descriptor;
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BOOST_CONCEPT_ASSERT((boost::Convertible<typename boost::graph_traits<Graph>::directed_category, boost::undirected_tag>));
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BOOST_CONCEPT_ASSERT((boost::ReadablePropertyMapConcept<WeightMap, edge_descriptor>));
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// typedef typename boost::property_traits<WeightMap>::value_type weight_type;
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boost::function_requires< MASVisitorConcept<MASVisitor, Graph> >();
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BOOST_CONCEPT_ASSERT((boost::ReadWritePropertyMapConcept<VertexAssignmentMap, vertex_descriptor>));
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BOOST_CONCEPT_ASSERT((boost::Convertible<vertex_descriptor, typename boost::property_traits<VertexAssignmentMap>::value_type>));
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BOOST_CONCEPT_ASSERT((boost::KeyedUpdatableQueueConcept<KeyedUpdatablePriorityQueue>));
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vertices_size_type n = num_vertices(g);
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if (n < 2)
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throw boost::bad_graph("the input graph must have at least two vertices.");
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else if (!pq.empty())
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throw std::invalid_argument("the max-priority queue must be empty initially.");
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detail::maximum_adjacency_search(g, weights,
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vis, start,
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assignments, pq);
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}
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namespace graph {
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namespace detail {
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template <typename WeightMap>
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struct mas_dispatch {
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typedef void result_type;
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template <typename Graph, typename ArgPack>
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static result_type apply(const Graph& g,
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//const bgl_named_params<P,T,R>& params,
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const ArgPack& params,
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WeightMap w) {
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using namespace boost::graph::keywords;
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typedef typename boost::graph_traits<Graph>::vertex_descriptor vertex_descriptor;
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typedef typename WeightMap::value_type weight_type;
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typedef boost::detail::make_priority_queue_from_arg_pack_gen<boost::graph::keywords::tag::max_priority_queue, weight_type, vertex_descriptor, std::greater<weight_type> > default_pq_gen_type;
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default_pq_gen_type pq_gen(choose_param(get_param(params, boost::distance_zero_t()), weight_type(0)));
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typename boost::result_of<default_pq_gen_type(const Graph&, const ArgPack&)>::type pq = pq_gen(g, params);
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boost::maximum_adjacency_search
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(g,
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w,
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params [ _visitor | make_mas_visitor(null_visitor())],
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params [ _root_vertex | *vertices(g).first],
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params [ _vertex_assignment_map | boost::detail::make_property_map_from_arg_pack_gen<boost::graph::keywords::tag::vertex_assignment_map, vertex_descriptor>(vertex_descriptor())(g, params)],
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pq
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);
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}
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};
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template <>
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struct mas_dispatch<boost::param_not_found> {
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typedef void result_type;
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template <typename Graph, typename ArgPack>
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static result_type apply(const Graph& g,
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const ArgPack& params,
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param_not_found) {
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using namespace boost::graph::keywords;
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typedef typename boost::graph_traits<Graph>::vertex_descriptor vertex_descriptor;
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// get edge_weight_t as the weight type
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typedef typename boost::property_map<Graph, edge_weight_t> WeightMap;
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typedef typename WeightMap::value_type weight_type;
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typedef boost::detail::make_priority_queue_from_arg_pack_gen<boost::graph::keywords::tag::max_priority_queue, weight_type, vertex_descriptor, std::greater<weight_type> > default_pq_gen_type;
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default_pq_gen_type pq_gen(choose_param(get_param(params, boost::distance_zero_t()), weight_type(0)));
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typename boost::result_of<default_pq_gen_type(const Graph&, const ArgPack&)>::type pq = pq_gen(g, params);
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boost::maximum_adjacency_search
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(g,
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get(edge_weight, g),
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params [ _visitor | make_mas_visitor(null_visitor())],
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params [ _root_vertex | *vertices(g).first],
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params [ _vertex_assignment_map | boost::detail::make_property_map_from_arg_pack_gen<boost::graph::keywords::tag::vertex_assignment_map, vertex_descriptor>(vertex_descriptor())(g, params)],
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pq
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);
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}
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};
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} // end namespace detail
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} // end namespace graph
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// Named parameter interface
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//BOOST_GRAPH_MAKE_OLD_STYLE_PARAMETER_FUNCTION(maximum_adjacency_search, 1)
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template <typename Graph, typename P, typename T, typename R>
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void
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maximum_adjacency_search (const Graph& g,
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const bgl_named_params<P,T,R>& params) {
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typedef bgl_named_params<P, T, R> params_type;
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BOOST_GRAPH_DECLARE_CONVERTED_PARAMETERS(params_type, params)
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// do the dispatch based on WeightMap
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typedef typename get_param_type<edge_weight_t, bgl_named_params<P,T,R> >::type W;
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graph::detail::mas_dispatch<W>::apply(g, arg_pack, get_param(params, edge_weight));
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}
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namespace graph {
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namespace detail {
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template <typename Graph>
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struct maximum_adjacency_search_impl {
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typedef void result_type;
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template <typename ArgPack>
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void
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operator() (const Graph& g, const ArgPack& arg_pack) const {
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// call the function that does the dispatching
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typedef typename get_param_type<edge_weight_t, ArgPack >::type W;
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graph::detail::mas_dispatch<W>::apply(g, arg_pack, get_param(arg_pack, edge_weight));
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}
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};
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} // end namespace detail
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BOOST_GRAPH_MAKE_FORWARDING_FUNCTION(maximum_adjacency_search,1,5)
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} // end namespace graph
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} // end namespace boost
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#include <boost/graph/iteration_macros_undef.hpp>
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#endif // BOOST_GRAPH_MAXIMUM_ADJACENCY_SEARCH_H
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