374 lines
14 KiB
C++
374 lines
14 KiB
C++
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// Copyright (C) 2001 Vladimir Prus <ghost@cs.msu.su>
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// Copyright (C) 2001 Jeremy Siek <jsiek@cs.indiana.edu>
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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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// NOTE: this final is generated by libs/graph/doc/transitive_closure.w
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#ifndef BOOST_GRAPH_TRANSITIVE_CLOSURE_HPP
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#define BOOST_GRAPH_TRANSITIVE_CLOSURE_HPP
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#include <vector>
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#include <algorithm> // for std::min and std::max
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#include <functional>
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#include <boost/config.hpp>
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#include <boost/bind.hpp>
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#include <boost/graph/strong_components.hpp>
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#include <boost/graph/topological_sort.hpp>
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#include <boost/graph/graph_concepts.hpp>
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#include <boost/graph/named_function_params.hpp>
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#include <boost/graph/adjacency_list.hpp>
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#include <boost/concept/assert.hpp>
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namespace boost
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{
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namespace detail
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{
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inline void
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union_successor_sets(const std::vector < std::size_t > &s1,
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const std::vector < std::size_t > &s2,
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std::vector < std::size_t > &s3)
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{
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BOOST_USING_STD_MIN();
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for (std::size_t k = 0; k < s1.size(); ++k)
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s3[k] = min BOOST_PREVENT_MACRO_SUBSTITUTION(s1[k], s2[k]);
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}
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} // namespace detail
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namespace detail
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{
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template < typename TheContainer, typename ST = std::size_t,
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typename VT = typename TheContainer::value_type >
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struct subscript_t:public std::unary_function < ST, VT >
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{
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typedef VT& result_type;
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subscript_t(TheContainer & c):container(&c)
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{
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}
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VT & operator() (const ST & i) const
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{
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return (*container)[i];
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}
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protected:
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TheContainer * container;
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};
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template < typename TheContainer >
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subscript_t < TheContainer > subscript(TheContainer & c) {
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return subscript_t < TheContainer > (c);
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}
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} // namespace detail
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template < typename Graph, typename GraphTC,
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typename G_to_TC_VertexMap,
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typename VertexIndexMap >
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void transitive_closure(const Graph & g, GraphTC & tc,
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G_to_TC_VertexMap g_to_tc_map,
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VertexIndexMap index_map)
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{
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if (num_vertices(g) == 0)
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return;
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typedef typename graph_traits < Graph >::vertex_descriptor vertex;
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typedef typename graph_traits < Graph >::vertex_iterator vertex_iterator;
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typedef typename property_traits < VertexIndexMap >::value_type size_type;
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typedef typename graph_traits <
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Graph >::adjacency_iterator adjacency_iterator;
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BOOST_CONCEPT_ASSERT(( VertexListGraphConcept < Graph > ));
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BOOST_CONCEPT_ASSERT(( AdjacencyGraphConcept < Graph > ));
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BOOST_CONCEPT_ASSERT(( VertexMutableGraphConcept < GraphTC > ));
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BOOST_CONCEPT_ASSERT(( EdgeMutableGraphConcept < GraphTC > ));
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BOOST_CONCEPT_ASSERT(( ReadablePropertyMapConcept < VertexIndexMap,
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vertex > ));
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typedef size_type cg_vertex;
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std::vector < cg_vertex > component_number_vec(num_vertices(g));
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iterator_property_map < cg_vertex *, VertexIndexMap, cg_vertex, cg_vertex& >
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component_number(&component_number_vec[0], index_map);
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int num_scc = strong_components(g, component_number,
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vertex_index_map(index_map));
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std::vector < std::vector < vertex > >components;
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build_component_lists(g, num_scc, component_number, components);
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typedef boost::adjacency_list<boost::vecS, boost::vecS, boost::directedS> CG_t;
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CG_t CG(num_scc);
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for (cg_vertex s = 0; s < components.size(); ++s) {
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std::vector < cg_vertex > adj;
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for (size_type i = 0; i < components[s].size(); ++i) {
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vertex u = components[s][i];
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adjacency_iterator v, v_end;
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for (boost::tie(v, v_end) = adjacent_vertices(u, g); v != v_end; ++v) {
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cg_vertex t = component_number[*v];
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if (s != t) // Avoid loops in the condensation graph
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adj.push_back(t);
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}
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}
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std::sort(adj.begin(), adj.end());
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typename std::vector<cg_vertex>::iterator di =
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std::unique(adj.begin(), adj.end());
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if (di != adj.end())
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adj.erase(di, adj.end());
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for (typename std::vector<cg_vertex>::const_iterator i = adj.begin();
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i != adj.end(); ++i) {
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add_edge(s, *i, CG);
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}
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}
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std::vector<cg_vertex> topo_order;
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std::vector<cg_vertex> topo_number(num_vertices(CG));
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topological_sort(CG, std::back_inserter(topo_order),
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vertex_index_map(identity_property_map()));
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std::reverse(topo_order.begin(), topo_order.end());
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size_type n = 0;
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for (typename std::vector<cg_vertex>::iterator iter = topo_order.begin();
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iter != topo_order.end(); ++iter)
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topo_number[*iter] = n++;
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std::vector<std::vector<cg_vertex> > CG_vec(num_vertices(CG));
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for (size_type i = 0; i < num_vertices(CG); ++i) {
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typedef typename boost::graph_traits<CG_t>::adjacency_iterator cg_adj_iter;
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std::pair<cg_adj_iter, cg_adj_iter> pr = adjacent_vertices(i, CG);
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CG_vec[i].assign(pr.first, pr.second);
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std::sort(CG_vec[i].begin(), CG_vec[i].end(),
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boost::bind(std::less<cg_vertex>(),
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boost::bind(detail::subscript(topo_number), _1),
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boost::bind(detail::subscript(topo_number), _2)));
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}
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std::vector<std::vector<cg_vertex> > chains;
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{
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std::vector<cg_vertex> in_a_chain(CG_vec.size());
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for (typename std::vector<cg_vertex>::iterator i = topo_order.begin();
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i != topo_order.end(); ++i) {
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cg_vertex v = *i;
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if (!in_a_chain[v]) {
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chains.resize(chains.size() + 1);
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std::vector<cg_vertex>& chain = chains.back();
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for (;;) {
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chain.push_back(v);
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in_a_chain[v] = true;
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typename std::vector<cg_vertex>::const_iterator next
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= std::find_if(CG_vec[v].begin(), CG_vec[v].end(),
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std::not1(detail::subscript(in_a_chain)));
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if (next != CG_vec[v].end())
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v = *next;
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else
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break; // end of chain, dead-end
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}
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}
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}
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}
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std::vector<size_type> chain_number(CG_vec.size());
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std::vector<size_type> pos_in_chain(CG_vec.size());
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for (size_type i = 0; i < chains.size(); ++i)
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for (size_type j = 0; j < chains[i].size(); ++j) {
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cg_vertex v = chains[i][j];
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chain_number[v] = i;
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pos_in_chain[v] = j;
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}
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cg_vertex inf = (std::numeric_limits< cg_vertex >::max)();
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std::vector<std::vector<cg_vertex> > successors(CG_vec.size(),
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std::vector<cg_vertex>
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(chains.size(), inf));
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for (typename std::vector<cg_vertex>::reverse_iterator
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i = topo_order.rbegin(); i != topo_order.rend(); ++i) {
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cg_vertex u = *i;
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typename std::vector<cg_vertex>::const_iterator adj, adj_last;
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for (adj = CG_vec[u].begin(), adj_last = CG_vec[u].end();
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adj != adj_last; ++adj) {
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cg_vertex v = *adj;
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if (topo_number[v] < successors[u][chain_number[v]]) {
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// Succ(u) = Succ(u) U Succ(v)
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detail::union_successor_sets(successors[u], successors[v],
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successors[u]);
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// Succ(u) = Succ(u) U {v}
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successors[u][chain_number[v]] = topo_number[v];
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}
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}
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}
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for (size_type i = 0; i < CG_vec.size(); ++i)
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CG_vec[i].clear();
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for (size_type i = 0; i < CG_vec.size(); ++i)
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for (size_type j = 0; j < chains.size(); ++j) {
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size_type topo_num = successors[i][j];
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if (topo_num < inf) {
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cg_vertex v = topo_order[topo_num];
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for (size_type k = pos_in_chain[v]; k < chains[j].size(); ++k)
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CG_vec[i].push_back(chains[j][k]);
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}
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}
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// Add vertices to the transitive closure graph
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{
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vertex_iterator i, i_end;
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for (boost::tie(i, i_end) = vertices(g); i != i_end; ++i)
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g_to_tc_map[*i] = add_vertex(tc);
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}
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// Add edges between all the vertices in two adjacent SCCs
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typename std::vector<std::vector<cg_vertex> >::const_iterator si, si_end;
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for (si = CG_vec.begin(), si_end = CG_vec.end(); si != si_end; ++si) {
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cg_vertex s = si - CG_vec.begin();
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typename std::vector<cg_vertex>::const_iterator i, i_end;
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for (i = CG_vec[s].begin(), i_end = CG_vec[s].end(); i != i_end; ++i) {
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cg_vertex t = *i;
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for (size_type k = 0; k < components[s].size(); ++k)
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for (size_type l = 0; l < components[t].size(); ++l)
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add_edge(g_to_tc_map[components[s][k]],
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g_to_tc_map[components[t][l]], tc);
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}
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}
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// Add edges connecting all vertices in a SCC
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for (size_type i = 0; i < components.size(); ++i)
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if (components[i].size() > 1)
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for (size_type k = 0; k < components[i].size(); ++k)
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for (size_type l = 0; l < components[i].size(); ++l) {
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vertex u = components[i][k], v = components[i][l];
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add_edge(g_to_tc_map[u], g_to_tc_map[v], tc);
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}
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// Find loopbacks in the original graph.
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// Need to add it to transitive closure.
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{
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vertex_iterator i, i_end;
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for (boost::tie(i, i_end) = vertices(g); i != i_end; ++i)
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{
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adjacency_iterator ab, ae;
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for (boost::tie(ab, ae) = adjacent_vertices(*i, g); ab != ae; ++ab)
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{
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if (*ab == *i)
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if (components[component_number[*i]].size() == 1)
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add_edge(g_to_tc_map[*i], g_to_tc_map[*i], tc);
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}
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}
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}
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}
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template <typename Graph, typename GraphTC>
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void transitive_closure(const Graph & g, GraphTC & tc)
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{
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if (num_vertices(g) == 0)
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return;
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typedef typename property_map<Graph, vertex_index_t>::const_type
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VertexIndexMap;
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VertexIndexMap index_map = get(vertex_index, g);
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typedef typename graph_traits<GraphTC>::vertex_descriptor tc_vertex;
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std::vector<tc_vertex> to_tc_vec(num_vertices(g));
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iterator_property_map < tc_vertex *, VertexIndexMap, tc_vertex, tc_vertex&>
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g_to_tc_map(&to_tc_vec[0], index_map);
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transitive_closure(g, tc, g_to_tc_map, index_map);
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}
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namespace detail
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{
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template < typename Graph, typename GraphTC, typename G_to_TC_VertexMap,
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typename VertexIndexMap>
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void transitive_closure_dispatch
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(const Graph & g, GraphTC & tc,
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G_to_TC_VertexMap g_to_tc_map, VertexIndexMap index_map)
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{
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typedef typename graph_traits < GraphTC >::vertex_descriptor tc_vertex;
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typename std::vector < tc_vertex >::size_type
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n = is_default_param(g_to_tc_map) ? num_vertices(g) : 1;
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std::vector < tc_vertex > to_tc_vec(n);
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transitive_closure
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(g, tc,
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choose_param(g_to_tc_map, make_iterator_property_map
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(to_tc_vec.begin(), index_map, to_tc_vec[0])),
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index_map);
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}
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} // namespace detail
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template < typename Graph, typename GraphTC,
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typename P, typename T, typename R >
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void transitive_closure(const Graph & g, GraphTC & tc,
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const bgl_named_params < P, T, R > ¶ms)
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{
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if (num_vertices(g) == 0)
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return;
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detail::transitive_closure_dispatch
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(g, tc, get_param(params, orig_to_copy_t()),
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choose_const_pmap(get_param(params, vertex_index), g, vertex_index) );
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}
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template < typename G > void warshall_transitive_closure(G & g)
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{
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typedef typename graph_traits < G >::vertex_iterator vertex_iterator;
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BOOST_CONCEPT_ASSERT(( AdjacencyMatrixConcept < G > ));
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BOOST_CONCEPT_ASSERT(( EdgeMutableGraphConcept < G > ));
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// Matrix form:
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// for k
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// for i
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// if A[i,k]
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// for j
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// A[i,j] = A[i,j] | A[k,j]
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vertex_iterator ki, ke, ii, ie, ji, je;
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for (boost::tie(ki, ke) = vertices(g); ki != ke; ++ki)
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for (boost::tie(ii, ie) = vertices(g); ii != ie; ++ii)
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if (edge(*ii, *ki, g).second)
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for (boost::tie(ji, je) = vertices(g); ji != je; ++ji)
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if (!edge(*ii, *ji, g).second && edge(*ki, *ji, g).second) {
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add_edge(*ii, *ji, g);
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}
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}
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template < typename G > void warren_transitive_closure(G & g)
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{
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using namespace boost;
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typedef typename graph_traits < G >::vertex_iterator vertex_iterator;
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|
BOOST_CONCEPT_ASSERT(( AdjacencyMatrixConcept < G > ));
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||
|
|
BOOST_CONCEPT_ASSERT(( EdgeMutableGraphConcept < G > ));
|
||
|
|
|
||
|
|
// Make sure second loop will work
|
||
|
|
if (num_vertices(g) == 0)
|
||
|
|
return;
|
||
|
|
|
||
|
|
// for i = 2 to n
|
||
|
|
// for k = 1 to i - 1
|
||
|
|
// if A[i,k]
|
||
|
|
// for j = 1 to n
|
||
|
|
// A[i,j] = A[i,j] | A[k,j]
|
||
|
|
|
||
|
|
vertex_iterator ic, ie, jc, je, kc, ke;
|
||
|
|
for (boost::tie(ic, ie) = vertices(g), ++ic; ic != ie; ++ic)
|
||
|
|
for (boost::tie(kc, ke) = vertices(g); *kc != *ic; ++kc)
|
||
|
|
if (edge(*ic, *kc, g).second)
|
||
|
|
for (boost::tie(jc, je) = vertices(g); jc != je; ++jc)
|
||
|
|
if (!edge(*ic, *jc, g).second && edge(*kc, *jc, g).second) {
|
||
|
|
add_edge(*ic, *jc, g);
|
||
|
|
}
|
||
|
|
// for i = 1 to n - 1
|
||
|
|
// for k = i + 1 to n
|
||
|
|
// if A[i,k]
|
||
|
|
// for j = 1 to n
|
||
|
|
// A[i,j] = A[i,j] | A[k,j]
|
||
|
|
|
||
|
|
for (boost::tie(ic, ie) = vertices(g), --ie; ic != ie; ++ic)
|
||
|
|
for (kc = ic, ke = ie, ++kc; kc != ke; ++kc)
|
||
|
|
if (edge(*ic, *kc, g).second)
|
||
|
|
for (boost::tie(jc, je) = vertices(g); jc != je; ++jc)
|
||
|
|
if (!edge(*ic, *jc, g).second && edge(*kc, *jc, g).second) {
|
||
|
|
add_edge(*ic, *jc, g);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
} // namespace boost
|
||
|
|
|
||
|
|
#endif // BOOST_GRAPH_TRANSITIVE_CLOSURE_HPP
|