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- #ifndef BOOST_GRAPH_BICONNECTED_COMPONENTS_HPP
- #define BOOST_GRAPH_BICONNECTED_COMPONENTS_HPP
- #include <stack>
- #include <vector>
- #include <algorithm>
- #include <boost/config.hpp>
- #include <boost/limits.hpp>
- #include <boost/graph/graph_traits.hpp>
- #include <boost/graph/graph_concepts.hpp>
- #include <boost/property_map/property_map.hpp>
- #include <boost/graph/depth_first_search.hpp>
- #include <boost/graph/graph_utility.hpp>
- #include <boost/concept/assert.hpp>
- #include <boost/assert.hpp>
- namespace boost
- {
- namespace detail
- {
- template<typename ComponentMap, typename DiscoverTimeMap,
- typename LowPointMap, typename PredecessorMap,
- typename OutputIterator, typename Stack,
- typename ArticulationVector, typename IndexMap,
- typename DFSVisitor>
- struct biconnected_components_visitor : public dfs_visitor<>
- {
- biconnected_components_visitor
- (ComponentMap comp, std::size_t& c,
- std::size_t& children_of_root, DiscoverTimeMap dtm,
- std::size_t& dfs_time, LowPointMap lowpt, PredecessorMap pred,
- OutputIterator out, Stack& S,
- ArticulationVector& is_articulation_point, IndexMap index_map,
- DFSVisitor vis)
- : comp(comp), c(c), children_of_root(children_of_root),
- dtm(dtm), dfs_time(dfs_time), lowpt(lowpt),
- pred(pred), out(out), S(S),
- is_articulation_point(is_articulation_point),
- index_map(index_map), vis(vis) { }
- template <typename Vertex, typename Graph>
- void initialize_vertex(const Vertex& u, Graph& g)
- {
- put(pred, u, u);
- vis.initialize_vertex(u, g);
- }
- template <typename Vertex, typename Graph>
- void start_vertex(const Vertex& u, Graph& g)
- {
- children_of_root = 0;
- vis.start_vertex(u, g);
- }
- template <typename Vertex, typename Graph>
- void discover_vertex(const Vertex& u, Graph& g)
- {
- put(dtm, u, ++dfs_time);
- put(lowpt, u, get(dtm, u));
- vis.discover_vertex(u, g);
- }
- template <typename Edge, typename Graph>
- void examine_edge(const Edge& e, Graph& g)
- {
- vis.examine_edge(e, g);
- }
- template <typename Edge, typename Graph>
- void tree_edge(const Edge& e, Graph& g)
- {
- typename boost::graph_traits<Graph>::vertex_descriptor src = source(e, g);
- typename boost::graph_traits<Graph>::vertex_descriptor tgt = target(e, g);
- S.push(e);
- put(pred, tgt, src);
- if ( get(pred, src) == src ) {
- ++children_of_root;
- }
- vis.tree_edge(e, g);
- }
- template <typename Edge, typename Graph>
- void back_edge(const Edge& e, Graph& g)
- {
- BOOST_USING_STD_MIN();
- typename boost::graph_traits<Graph>::vertex_descriptor src = source(e, g);
- typename boost::graph_traits<Graph>::vertex_descriptor tgt = target(e, g);
- if ( tgt != get(pred, src) ) {
- S.push(e);
- put(lowpt, src,
- min BOOST_PREVENT_MACRO_SUBSTITUTION(get(lowpt, src),
- get(dtm, tgt)));
- }
- vis.back_edge(e, g);
- }
- template <typename Edge, typename Graph>
- void forward_or_cross_edge(const Edge& e, Graph& g)
- {
- vis.forward_or_cross_edge(e, g);
- }
- template <typename Vertex, typename Graph>
- void finish_vertex(const Vertex& u, Graph& g)
- {
- BOOST_USING_STD_MIN();
- Vertex parent = get(pred, u);
- if (parent == u) {
- is_articulation_point[get(index_map, u)] = (children_of_root > 1);
- } else {
- put(lowpt, parent,
- min BOOST_PREVENT_MACRO_SUBSTITUTION(get(lowpt, parent),
- get(lowpt, u)));
- if ( get(lowpt, u) >= get(dtm, parent) ) {
- is_articulation_point[get(index_map, parent)] = true;
- while ( get(dtm, source(S.top(), g)) >= get(dtm, u) ) {
- put(comp, S.top(), c);
- S.pop();
- }
- BOOST_ASSERT (source(S.top(), g) == parent);
- BOOST_ASSERT (target(S.top(), g) == u);
- put(comp, S.top(), c);
- S.pop();
- ++c;
- }
- }
- if ( is_articulation_point[get(index_map, u)] ) {
- *out++ = u;
- }
- vis.finish_vertex(u, g);
- }
- ComponentMap comp;
- std::size_t& c;
- std::size_t& children_of_root;
- DiscoverTimeMap dtm;
- std::size_t& dfs_time;
- LowPointMap lowpt;
- PredecessorMap pred;
- OutputIterator out;
- Stack& S;
- ArticulationVector& is_articulation_point;
- IndexMap index_map;
- DFSVisitor vis;
- };
- template<typename Graph, typename ComponentMap, typename OutputIterator,
- typename VertexIndexMap, typename DiscoverTimeMap, typename LowPointMap,
- typename PredecessorMap, typename DFSVisitor>
- std::pair<std::size_t, OutputIterator>
- biconnected_components_impl(const Graph & g, ComponentMap comp,
- OutputIterator out, VertexIndexMap index_map, DiscoverTimeMap dtm,
- LowPointMap lowpt, PredecessorMap pred, DFSVisitor dfs_vis)
- {
- typedef typename graph_traits<Graph>::vertex_descriptor vertex_t;
- typedef typename graph_traits<Graph>::edge_descriptor edge_t;
- BOOST_CONCEPT_ASSERT(( VertexListGraphConcept<Graph> ));
- BOOST_CONCEPT_ASSERT(( IncidenceGraphConcept<Graph> ));
- BOOST_CONCEPT_ASSERT(( WritablePropertyMapConcept<ComponentMap, edge_t> ));
- BOOST_CONCEPT_ASSERT(( ReadWritePropertyMapConcept<DiscoverTimeMap,
- vertex_t> ));
- BOOST_CONCEPT_ASSERT(( ReadWritePropertyMapConcept<LowPointMap, vertex_t > ));
- BOOST_CONCEPT_ASSERT(( ReadWritePropertyMapConcept<PredecessorMap,
- vertex_t> ));
- std::size_t num_components = 0;
- std::size_t children_of_root;
- std::size_t dfs_time = 0;
- std::stack<edge_t> S;
- std::vector<char> is_articulation_point(num_vertices(g));
- biconnected_components_visitor<ComponentMap, DiscoverTimeMap,
- LowPointMap, PredecessorMap, OutputIterator, std::stack<edge_t>,
- std::vector<char>, VertexIndexMap, DFSVisitor>
- vis(comp, num_components, children_of_root, dtm, dfs_time,
- lowpt, pred, out, S, is_articulation_point, index_map, dfs_vis);
- depth_first_search(g, visitor(vis).vertex_index_map(index_map));
- return std::pair<std::size_t, OutputIterator>(num_components, vis.out);
- }
- template <typename PredecessorMap>
- struct bicomp_dispatch3
- {
- template<typename Graph, typename ComponentMap, typename OutputIterator,
- typename VertexIndexMap, typename DiscoverTimeMap,
- typename LowPointMap, class P, class T, class R>
- static std::pair<std::size_t, OutputIterator> apply (const Graph & g,
- ComponentMap comp, OutputIterator out, VertexIndexMap index_map,
- DiscoverTimeMap dtm, LowPointMap lowpt,
- const bgl_named_params<P, T, R>& params, PredecessorMap pred)
- {
- return biconnected_components_impl
- (g, comp, out, index_map, dtm, lowpt, pred,
- choose_param(get_param(params, graph_visitor),
- make_dfs_visitor(null_visitor())));
- }
- };
-
- template <>
- struct bicomp_dispatch3<param_not_found>
- {
- template<typename Graph, typename ComponentMap, typename OutputIterator,
- typename VertexIndexMap, typename DiscoverTimeMap,
- typename LowPointMap, class P, class T, class R>
- static std::pair<std::size_t, OutputIterator> apply (const Graph & g,
- ComponentMap comp, OutputIterator out, VertexIndexMap index_map,
- DiscoverTimeMap dtm, LowPointMap lowpt,
- const bgl_named_params<P, T, R>& params,
- param_not_found)
- {
- typedef typename graph_traits<Graph>::vertex_descriptor vertex_t;
- std::vector<vertex_t> pred(num_vertices(g));
- vertex_t vert = graph_traits<Graph>::null_vertex();
- return biconnected_components_impl
- (g, comp, out, index_map, dtm, lowpt,
- make_iterator_property_map(pred.begin(), index_map, vert),
- choose_param(get_param(params, graph_visitor),
- make_dfs_visitor(null_visitor())));
- }
- };
- template <typename LowPointMap>
- struct bicomp_dispatch2
- {
- template<typename Graph, typename ComponentMap, typename OutputIterator,
- typename VertexIndexMap, typename DiscoverTimeMap,
- typename P, typename T, typename R>
- static std::pair<std::size_t, OutputIterator> apply (const Graph& g,
- ComponentMap comp, OutputIterator out, VertexIndexMap index_map,
- DiscoverTimeMap dtm, const bgl_named_params<P, T, R>& params,
- LowPointMap lowpt)
- {
- typedef typename get_param_type< vertex_predecessor_t, bgl_named_params<P,T,R> >::type dispatch_type;
- return bicomp_dispatch3<dispatch_type>::apply
- (g, comp, out, index_map, dtm, lowpt, params,
- get_param(params, vertex_predecessor));
- }
- };
- template <>
- struct bicomp_dispatch2<param_not_found>
- {
- template<typename Graph, typename ComponentMap, typename OutputIterator,
- typename VertexIndexMap, typename DiscoverTimeMap,
- typename P, typename T, typename R>
- static std::pair<std::size_t, OutputIterator> apply (const Graph& g,
- ComponentMap comp, OutputIterator out, VertexIndexMap index_map,
- DiscoverTimeMap dtm, const bgl_named_params<P, T, R>& params,
- param_not_found)
- {
- typedef typename graph_traits<Graph>::vertices_size_type
- vertices_size_type;
- std::vector<vertices_size_type> lowpt(num_vertices(g));
- vertices_size_type vst(0);
- typedef typename get_param_type< vertex_predecessor_t, bgl_named_params<P,T,R> >::type dispatch_type;
-
- return bicomp_dispatch3<dispatch_type>::apply
- (g, comp, out, index_map, dtm,
- make_iterator_property_map(lowpt.begin(), index_map, vst),
- params, get_param(params, vertex_predecessor));
- }
- };
- template <typename DiscoverTimeMap>
- struct bicomp_dispatch1
- {
- template<typename Graph, typename ComponentMap, typename OutputIterator,
- typename VertexIndexMap, class P, class T, class R>
- static std::pair<std::size_t, OutputIterator> apply(const Graph& g,
- ComponentMap comp, OutputIterator out, VertexIndexMap index_map,
- const bgl_named_params<P, T, R>& params, DiscoverTimeMap dtm)
- {
- typedef typename get_param_type< vertex_lowpoint_t, bgl_named_params<P,T,R> >::type dispatch_type;
- return bicomp_dispatch2<dispatch_type>::apply
- (g, comp, out, index_map, dtm, params,
- get_param(params, vertex_lowpoint));
- }
- };
- template <>
- struct bicomp_dispatch1<param_not_found>
- {
- template<typename Graph, typename ComponentMap, typename OutputIterator,
- typename VertexIndexMap, class P, class T, class R>
- static std::pair<std::size_t, OutputIterator> apply(const Graph& g,
- ComponentMap comp, OutputIterator out, VertexIndexMap index_map,
- const bgl_named_params<P, T, R>& params, param_not_found)
- {
- typedef typename graph_traits<Graph>::vertices_size_type
- vertices_size_type;
- std::vector<vertices_size_type> discover_time(num_vertices(g));
- vertices_size_type vst(0);
- typedef typename get_param_type< vertex_lowpoint_t, bgl_named_params<P,T,R> >::type dispatch_type;
- return bicomp_dispatch2<dispatch_type>::apply
- (g, comp, out, index_map,
- make_iterator_property_map(discover_time.begin(), index_map, vst),
- params, get_param(params, vertex_lowpoint));
- }
- };
- }
- template<typename Graph, typename ComponentMap, typename OutputIterator,
- typename DiscoverTimeMap, typename LowPointMap>
- std::pair<std::size_t, OutputIterator>
- biconnected_components(const Graph& g, ComponentMap comp,
- OutputIterator out, DiscoverTimeMap dtm, LowPointMap lowpt)
- {
- typedef param_not_found dispatch_type;
- return detail::bicomp_dispatch3<dispatch_type>::apply
- (g, comp, out,
- get(vertex_index, g),
- dtm, lowpt,
- bgl_named_params<int, buffer_param_t>(0),
- param_not_found());
- }
- template <typename Graph, typename ComponentMap, typename OutputIterator,
- typename P, typename T, typename R>
- std::pair<std::size_t, OutputIterator>
- biconnected_components(const Graph& g, ComponentMap comp, OutputIterator out,
- const bgl_named_params<P, T, R>& params)
- {
- typedef typename get_param_type< vertex_discover_time_t, bgl_named_params<P,T,R> >::type dispatch_type;
- return detail::bicomp_dispatch1<dispatch_type>::apply(g, comp, out,
- choose_const_pmap(get_param(params, vertex_index), g, vertex_index),
- params, get_param(params, vertex_discover_time));
- }
- template < typename Graph, typename ComponentMap, typename OutputIterator>
- std::pair<std::size_t, OutputIterator>
- biconnected_components(const Graph& g, ComponentMap comp, OutputIterator out)
- {
- return biconnected_components(g, comp, out,
- bgl_named_params<int, buffer_param_t>(0));
- }
- namespace graph_detail {
- struct dummy_output_iterator
- {
- typedef std::output_iterator_tag iterator_category;
- typedef void value_type;
- typedef void pointer;
- typedef void difference_type;
- struct reference {
- template<typename T>
- reference& operator=(const T&) { return *this; }
- };
- reference operator*() const { return reference(); }
- dummy_output_iterator& operator++() { return *this; }
- dummy_output_iterator operator++(int) { return *this; }
- };
- }
- template <typename Graph, typename ComponentMap,
- typename P, typename T, typename R>
- std::size_t
- biconnected_components(const Graph& g, ComponentMap comp,
- const bgl_named_params<P, T, R>& params)
- {
- return biconnected_components(g, comp,
- graph_detail::dummy_output_iterator(), params).first;
- }
- template <typename Graph, typename ComponentMap>
- std::size_t
- biconnected_components(const Graph& g, ComponentMap comp)
- {
- return biconnected_components(g, comp,
- graph_detail::dummy_output_iterator()).first;
- }
- template<typename Graph, typename OutputIterator,
- typename P, typename T, typename R>
- OutputIterator
- articulation_points(const Graph& g, OutputIterator out,
- const bgl_named_params<P, T, R>& params)
- {
- return biconnected_components(g, dummy_property_map(), out,
- params).second;
- }
- template<typename Graph, typename OutputIterator>
- OutputIterator
- articulation_points(const Graph& g, OutputIterator out)
- {
- return biconnected_components(g, dummy_property_map(), out,
- bgl_named_params<int, buffer_param_t>(0)).second;
- }
- }
- #endif
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