123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425426427428429430431432433434435436437438439440 |
- // Copyright (c) Jeremy Siek 2001
- // Copyright (c) Douglas Gregor 2004
- //
- // 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: this final is generated by libs/graph/doc/biconnected_components.w
- #ifndef BOOST_GRAPH_BICONNECTED_COMPONENTS_HPP
- #define BOOST_GRAPH_BICONNECTED_COMPONENTS_HPP
- #include <stack>
- #include <vector>
- #include <algorithm> // for std::min and std::max
- #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)
- { // Root of tree is special
- 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; }
- };
- } // end namespace graph_detail
- 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;
- }
- } // namespace boost
- #endif /* BOOST_GRAPH_BICONNECTED_COMPONENTS_HPP */
|