565 lines
21 KiB
C++
565 lines
21 KiB
C++
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//
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//=======================================================================
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// Copyright (c) 2004 Kristopher Beevers
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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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#ifndef BOOST_GRAPH_ASTAR_SEARCH_HPP
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#define BOOST_GRAPH_ASTAR_SEARCH_HPP
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#include <functional>
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#include <vector>
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#include <boost/limits.hpp>
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#include <boost/throw_exception.hpp>
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#include <boost/graph/named_function_params.hpp>
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#include <boost/graph/relax.hpp>
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#include <boost/graph/exception.hpp>
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#include <boost/graph/breadth_first_search.hpp>
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#include <boost/graph/iteration_macros.hpp>
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#include <boost/graph/detail/d_ary_heap.hpp>
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#include <boost/graph/property_maps/constant_property_map.hpp>
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#include <boost/property_map/property_map.hpp>
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#include <boost/property_map/vector_property_map.hpp>
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#include <boost/property_map/function_property_map.hpp>
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#include <boost/concept/assert.hpp>
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namespace boost {
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template <class Heuristic, class Graph>
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struct AStarHeuristicConcept {
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void constraints()
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{
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BOOST_CONCEPT_ASSERT(( CopyConstructibleConcept<Heuristic> ));
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h(u);
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}
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Heuristic h;
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typename graph_traits<Graph>::vertex_descriptor u;
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};
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template <class Graph, class CostType>
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class astar_heuristic : public std::unary_function<
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typename graph_traits<Graph>::vertex_descriptor, CostType>
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{
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public:
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typedef typename graph_traits<Graph>::vertex_descriptor Vertex;
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astar_heuristic() {}
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CostType operator()(Vertex u) { return static_cast<CostType>(0); }
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};
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template <class Visitor, class Graph>
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struct AStarVisitorConcept {
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void constraints()
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{
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BOOST_CONCEPT_ASSERT(( CopyConstructibleConcept<Visitor> ));
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vis.initialize_vertex(u, g);
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vis.discover_vertex(u, g);
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vis.examine_vertex(u, g);
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vis.examine_edge(e, g);
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vis.edge_relaxed(e, g);
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vis.edge_not_relaxed(e, g);
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vis.black_target(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 graph_traits<Graph>::vertex_descriptor u;
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typename graph_traits<Graph>::edge_descriptor e;
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};
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template <class Visitors = null_visitor>
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class astar_visitor : public bfs_visitor<Visitors> {
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public:
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astar_visitor() {}
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astar_visitor(Visitors vis)
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: bfs_visitor<Visitors>(vis) {}
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template <class Edge, class Graph>
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void edge_relaxed(Edge e, const Graph& g) {
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invoke_visitors(this->m_vis, e, g, on_edge_relaxed());
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}
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template <class Edge, class Graph>
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void edge_not_relaxed(Edge e, const Graph& g) {
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invoke_visitors(this->m_vis, e, g, on_edge_not_relaxed());
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}
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private:
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template <class Edge, class Graph>
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void tree_edge(Edge e, const Graph& g) {}
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template <class Edge, class Graph>
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void non_tree_edge(Edge e, const Graph& g) {}
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};
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template <class Visitors>
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astar_visitor<Visitors>
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make_astar_visitor(Visitors vis) {
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return astar_visitor<Visitors>(vis);
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}
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typedef astar_visitor<> default_astar_visitor;
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namespace detail {
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template <class AStarHeuristic, class UniformCostVisitor,
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class UpdatableQueue, class PredecessorMap,
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class CostMap, class DistanceMap, class WeightMap,
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class ColorMap, class BinaryFunction,
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class BinaryPredicate>
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struct astar_bfs_visitor
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{
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typedef typename property_traits<CostMap>::value_type C;
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typedef typename property_traits<ColorMap>::value_type ColorValue;
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typedef color_traits<ColorValue> Color;
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typedef typename property_traits<DistanceMap>::value_type distance_type;
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astar_bfs_visitor(AStarHeuristic h, UniformCostVisitor vis,
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UpdatableQueue& Q, PredecessorMap p,
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CostMap c, DistanceMap d, WeightMap w,
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ColorMap col, BinaryFunction combine,
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BinaryPredicate compare, C zero)
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: m_h(h), m_vis(vis), m_Q(Q), m_predecessor(p), m_cost(c),
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m_distance(d), m_weight(w), m_color(col),
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m_combine(combine), m_compare(compare), m_zero(zero) {}
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template <class Vertex, class Graph>
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void initialize_vertex(Vertex u, const Graph& g) {
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m_vis.initialize_vertex(u, g);
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}
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template <class Vertex, class Graph>
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void discover_vertex(Vertex u, const Graph& g) {
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m_vis.discover_vertex(u, g);
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}
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template <class Vertex, class Graph>
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void examine_vertex(Vertex u, const Graph& g) {
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m_vis.examine_vertex(u, g);
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}
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template <class Vertex, class Graph>
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void finish_vertex(Vertex u, const Graph& g) {
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m_vis.finish_vertex(u, g);
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}
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template <class Edge, class Graph>
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void examine_edge(Edge e, const Graph& g) {
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if (m_compare(get(m_weight, e), m_zero))
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BOOST_THROW_EXCEPTION(negative_edge());
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m_vis.examine_edge(e, g);
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}
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template <class Edge, class Graph>
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void non_tree_edge(Edge, const Graph&) {}
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template <class Edge, class Graph>
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void tree_edge(Edge e, const Graph& g) {
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using boost::get;
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bool m_decreased =
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relax(e, g, m_weight, m_predecessor, m_distance,
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m_combine, m_compare);
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if(m_decreased) {
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m_vis.edge_relaxed(e, g);
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put(m_cost, target(e, g),
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m_combine(get(m_distance, target(e, g)),
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m_h(target(e, g))));
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} else
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m_vis.edge_not_relaxed(e, g);
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}
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template <class Edge, class Graph>
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void gray_target(Edge e, const Graph& g) {
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using boost::get;
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bool m_decreased =
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relax(e, g, m_weight, m_predecessor, m_distance,
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m_combine, m_compare);
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if(m_decreased) {
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put(m_cost, target(e, g),
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m_combine(get(m_distance, target(e, g)),
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m_h(target(e, g))));
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m_Q.update(target(e, g));
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m_vis.edge_relaxed(e, g);
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} else
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m_vis.edge_not_relaxed(e, g);
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}
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template <class Edge, class Graph>
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void black_target(Edge e, const Graph& g) {
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using boost::get;
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bool m_decreased =
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relax(e, g, m_weight, m_predecessor, m_distance,
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m_combine, m_compare);
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if(m_decreased) {
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m_vis.edge_relaxed(e, g);
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put(m_cost, target(e, g),
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m_combine(get(m_distance, target(e, g)),
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m_h(target(e, g))));
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m_Q.push(target(e, g));
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put(m_color, target(e, g), Color::gray());
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m_vis.black_target(e, g);
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} else
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m_vis.edge_not_relaxed(e, g);
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}
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AStarHeuristic m_h;
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UniformCostVisitor m_vis;
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UpdatableQueue& m_Q;
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PredecessorMap m_predecessor;
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CostMap m_cost;
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DistanceMap m_distance;
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WeightMap m_weight;
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ColorMap m_color;
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BinaryFunction m_combine;
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BinaryPredicate m_compare;
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C m_zero;
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};
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} // namespace detail
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template <typename VertexListGraph, typename AStarHeuristic,
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typename AStarVisitor, typename PredecessorMap,
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typename CostMap, typename DistanceMap,
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typename WeightMap, typename ColorMap,
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typename VertexIndexMap,
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typename CompareFunction, typename CombineFunction,
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typename CostInf, typename CostZero>
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inline void
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astar_search_no_init
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(const VertexListGraph &g,
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typename graph_traits<VertexListGraph>::vertex_descriptor s,
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AStarHeuristic h, AStarVisitor vis,
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PredecessorMap predecessor, CostMap cost,
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DistanceMap distance, WeightMap weight,
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ColorMap color, VertexIndexMap index_map,
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CompareFunction compare, CombineFunction combine,
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CostInf /*inf*/, CostZero zero)
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{
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typedef typename graph_traits<VertexListGraph>::vertex_descriptor
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Vertex;
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typedef boost::vector_property_map<std::size_t, VertexIndexMap> IndexInHeapMap;
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IndexInHeapMap index_in_heap(index_map);
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typedef d_ary_heap_indirect<Vertex, 4, IndexInHeapMap, CostMap, CompareFunction>
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MutableQueue;
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MutableQueue Q(cost, index_in_heap, compare);
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detail::astar_bfs_visitor<AStarHeuristic, AStarVisitor,
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MutableQueue, PredecessorMap, CostMap, DistanceMap,
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WeightMap, ColorMap, CombineFunction, CompareFunction>
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bfs_vis(h, vis, Q, predecessor, cost, distance, weight,
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color, combine, compare, zero);
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breadth_first_visit(g, s, Q, bfs_vis, color);
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}
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namespace graph_detail {
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template <typename A, typename B>
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struct select1st {
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typedef std::pair<A, B> argument_type;
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typedef A result_type;
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A operator()(const std::pair<A, B>& p) const {return p.first;}
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};
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}
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template <typename VertexListGraph, typename AStarHeuristic,
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typename AStarVisitor, typename PredecessorMap,
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typename CostMap, typename DistanceMap,
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typename WeightMap,
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typename CompareFunction, typename CombineFunction,
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typename CostInf, typename CostZero>
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inline void
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astar_search_no_init_tree
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(const VertexListGraph &g,
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typename graph_traits<VertexListGraph>::vertex_descriptor s,
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AStarHeuristic h, AStarVisitor vis,
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PredecessorMap predecessor, CostMap cost,
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DistanceMap distance, WeightMap weight,
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CompareFunction compare, CombineFunction combine,
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CostInf /*inf*/, CostZero zero)
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{
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typedef typename graph_traits<VertexListGraph>::vertex_descriptor
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Vertex;
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typedef typename property_traits<DistanceMap>::value_type Distance;
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typedef d_ary_heap_indirect<
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std::pair<Distance, Vertex>,
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4,
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null_property_map<std::pair<Distance, Vertex>, std::size_t>,
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function_property_map<graph_detail::select1st<Distance, Vertex>, std::pair<Distance, Vertex> >,
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CompareFunction>
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MutableQueue;
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MutableQueue Q(
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make_function_property_map<std::pair<Distance, Vertex> >(graph_detail::select1st<Distance, Vertex>()),
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null_property_map<std::pair<Distance, Vertex>, std::size_t>(),
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compare);
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vis.discover_vertex(s, g);
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Q.push(std::make_pair(get(cost, s), s));
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while (!Q.empty()) {
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Vertex v;
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Distance v_rank;
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boost::tie(v_rank, v) = Q.top();
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Q.pop();
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vis.examine_vertex(v, g);
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BGL_FORALL_OUTEDGES_T(v, e, g, VertexListGraph) {
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Vertex w = target(e, g);
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vis.examine_edge(e, g);
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Distance e_weight = get(weight, e);
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if (compare(e_weight, zero))
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BOOST_THROW_EXCEPTION(negative_edge());
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bool decreased =
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relax(e, g, weight, predecessor, distance,
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combine, compare);
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Distance w_d = combine(get(distance, v), e_weight);
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if (decreased) {
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vis.edge_relaxed(e, g);
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Distance w_rank = combine(get(distance, w), h(w));
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put(cost, w, w_rank);
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vis.discover_vertex(w, g);
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Q.push(std::make_pair(w_rank, w));
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} else {
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vis.edge_not_relaxed(e, g);
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}
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}
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vis.finish_vertex(v, g);
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}
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}
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// Non-named parameter interface
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template <typename VertexListGraph, typename AStarHeuristic,
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typename AStarVisitor, typename PredecessorMap,
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typename CostMap, typename DistanceMap,
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typename WeightMap, typename VertexIndexMap,
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typename ColorMap,
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typename CompareFunction, typename CombineFunction,
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typename CostInf, typename CostZero>
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inline void
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astar_search
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(const VertexListGraph &g,
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typename graph_traits<VertexListGraph>::vertex_descriptor s,
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AStarHeuristic h, AStarVisitor vis,
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PredecessorMap predecessor, CostMap cost,
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DistanceMap distance, WeightMap weight,
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VertexIndexMap index_map, ColorMap color,
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CompareFunction compare, CombineFunction combine,
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CostInf inf, CostZero zero)
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{
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typedef typename property_traits<ColorMap>::value_type ColorValue;
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typedef color_traits<ColorValue> Color;
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typename graph_traits<VertexListGraph>::vertex_iterator ui, ui_end;
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for (boost::tie(ui, ui_end) = vertices(g); ui != ui_end; ++ui) {
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put(color, *ui, Color::white());
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put(distance, *ui, inf);
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put(cost, *ui, inf);
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put(predecessor, *ui, *ui);
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vis.initialize_vertex(*ui, g);
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}
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put(distance, s, zero);
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put(cost, s, h(s));
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astar_search_no_init
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(g, s, h, vis, predecessor, cost, distance, weight,
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color, index_map, compare, combine, inf, zero);
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}
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// Non-named parameter interface
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template <typename VertexListGraph, typename AStarHeuristic,
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typename AStarVisitor, typename PredecessorMap,
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typename CostMap, typename DistanceMap,
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typename WeightMap,
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typename CompareFunction, typename CombineFunction,
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typename CostInf, typename CostZero>
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inline void
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astar_search_tree
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(const VertexListGraph &g,
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typename graph_traits<VertexListGraph>::vertex_descriptor s,
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AStarHeuristic h, AStarVisitor vis,
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PredecessorMap predecessor, CostMap cost,
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DistanceMap distance, WeightMap weight,
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CompareFunction compare, CombineFunction combine,
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CostInf inf, CostZero zero)
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{
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typename graph_traits<VertexListGraph>::vertex_iterator ui, ui_end;
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for (boost::tie(ui, ui_end) = vertices(g); ui != ui_end; ++ui) {
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put(distance, *ui, inf);
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put(cost, *ui, inf);
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put(predecessor, *ui, *ui);
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vis.initialize_vertex(*ui, g);
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}
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put(distance, s, zero);
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put(cost, s, h(s));
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astar_search_no_init_tree
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(g, s, h, vis, predecessor, cost, distance, weight,
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compare, combine, inf, zero);
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}
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// Named parameter interfaces
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template <typename VertexListGraph,
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typename AStarHeuristic,
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typename P, typename T, typename R>
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void
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astar_search
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(const VertexListGraph &g,
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typename graph_traits<VertexListGraph>::vertex_descriptor s,
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AStarHeuristic h, const bgl_named_params<P, T, R>& params)
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{
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using namespace boost::graph::keywords;
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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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// Distance type is the value type of the distance map if there is one,
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// otherwise the value type of the weight map.
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typedef
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typename detail::override_const_property_result<
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arg_pack_type, tag::weight_map, edge_weight_t, VertexListGraph>::type
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weight_map_type;
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typedef typename boost::property_traits<weight_map_type>::value_type W;
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typedef
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typename detail::map_maker<VertexListGraph, arg_pack_type, tag::distance_map, W>::map_type
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distance_map_type;
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typedef typename boost::property_traits<distance_map_type>::value_type D;
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const D inf = arg_pack[_distance_inf || detail::get_max<D>()];
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astar_search
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(g, s, h,
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arg_pack[_visitor | make_astar_visitor(null_visitor())],
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arg_pack[_predecessor_map | dummy_property_map()],
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detail::make_property_map_from_arg_pack_gen<tag::rank_map, D>(D())(g, arg_pack),
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detail::make_property_map_from_arg_pack_gen<tag::distance_map, W>(W())(g, arg_pack),
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detail::override_const_property(arg_pack, _weight_map, g, edge_weight),
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detail::override_const_property(arg_pack, _vertex_index_map, g, vertex_index),
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detail::make_color_map_from_arg_pack(g, arg_pack),
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arg_pack[_distance_compare | std::less<D>()],
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arg_pack[_distance_combine | closed_plus<D>(inf)],
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inf,
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arg_pack[_distance_zero | D()]);
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}
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// Named parameter interfaces
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template <typename VertexListGraph,
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typename AStarHeuristic,
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typename P, typename T, typename R>
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void
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astar_search_tree
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(const VertexListGraph &g,
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typename graph_traits<VertexListGraph>::vertex_descriptor s,
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AStarHeuristic h, const bgl_named_params<P, T, R>& params)
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{
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using namespace boost::graph::keywords;
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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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// Distance type is the value type of the distance map if there is one,
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// otherwise the value type of the weight map.
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typedef
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typename detail::override_const_property_result<
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arg_pack_type, tag::weight_map, edge_weight_t, VertexListGraph>::type
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weight_map_type;
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typedef typename boost::property_traits<weight_map_type>::value_type W;
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typedef
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typename detail::map_maker<VertexListGraph, arg_pack_type, tag::distance_map, W>::map_type
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distance_map_type;
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typedef typename boost::property_traits<distance_map_type>::value_type D;
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const D inf = arg_pack[_distance_inf || detail::get_max<D>()];
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astar_search_tree
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(g, s, h,
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arg_pack[_visitor | make_astar_visitor(null_visitor())],
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arg_pack[_predecessor_map | dummy_property_map()],
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detail::make_property_map_from_arg_pack_gen<tag::rank_map, D>(D())(g, arg_pack),
|
|
detail::make_property_map_from_arg_pack_gen<tag::distance_map, W>(W())(g, arg_pack),
|
|
detail::override_const_property(arg_pack, _weight_map, g, edge_weight),
|
|
arg_pack[_distance_compare | std::less<D>()],
|
|
arg_pack[_distance_combine | closed_plus<D>(inf)],
|
|
inf,
|
|
arg_pack[_distance_zero | D()]);
|
|
}
|
|
|
|
template <typename VertexListGraph,
|
|
typename AStarHeuristic,
|
|
typename P, typename T, typename R>
|
|
void
|
|
astar_search_no_init
|
|
(const VertexListGraph &g,
|
|
typename graph_traits<VertexListGraph>::vertex_descriptor s,
|
|
AStarHeuristic h, const bgl_named_params<P, T, R>& params)
|
|
{
|
|
using namespace boost::graph::keywords;
|
|
typedef bgl_named_params<P, T, R> params_type;
|
|
BOOST_GRAPH_DECLARE_CONVERTED_PARAMETERS(params_type, params)
|
|
typedef
|
|
typename detail::override_const_property_result<
|
|
arg_pack_type, tag::weight_map, edge_weight_t, VertexListGraph>::type
|
|
weight_map_type;
|
|
typedef typename boost::property_traits<weight_map_type>::value_type D;
|
|
const D inf = arg_pack[_distance_inf || detail::get_max<D>()];
|
|
astar_search_no_init
|
|
(g, s, h,
|
|
arg_pack[_visitor | make_astar_visitor(null_visitor())],
|
|
arg_pack[_predecessor_map | dummy_property_map()],
|
|
detail::make_property_map_from_arg_pack_gen<tag::rank_map, D>(D())(g, arg_pack),
|
|
detail::make_property_map_from_arg_pack_gen<tag::distance_map, D>(D())(g, arg_pack),
|
|
detail::override_const_property(arg_pack, _weight_map, g, edge_weight),
|
|
detail::make_color_map_from_arg_pack(g, arg_pack),
|
|
detail::override_const_property(arg_pack, _vertex_index_map, g, vertex_index),
|
|
arg_pack[_distance_compare | std::less<D>()],
|
|
arg_pack[_distance_combine | closed_plus<D>(inf)],
|
|
inf,
|
|
arg_pack[_distance_zero | D()]);
|
|
}
|
|
|
|
template <typename VertexListGraph,
|
|
typename AStarHeuristic,
|
|
typename P, typename T, typename R>
|
|
void
|
|
astar_search_no_init_tree
|
|
(const VertexListGraph &g,
|
|
typename graph_traits<VertexListGraph>::vertex_descriptor s,
|
|
AStarHeuristic h, const bgl_named_params<P, T, R>& params)
|
|
{
|
|
using namespace boost::graph::keywords;
|
|
typedef bgl_named_params<P, T, R> params_type;
|
|
BOOST_GRAPH_DECLARE_CONVERTED_PARAMETERS(params_type, params)
|
|
typedef
|
|
typename detail::override_const_property_result<
|
|
arg_pack_type, tag::weight_map, edge_weight_t, VertexListGraph>::type
|
|
weight_map_type;
|
|
typedef typename boost::property_traits<weight_map_type>::value_type D;
|
|
const D inf = arg_pack[_distance_inf || detail::get_max<D>()];
|
|
astar_search_no_init_tree
|
|
(g, s, h,
|
|
arg_pack[_visitor | make_astar_visitor(null_visitor())],
|
|
arg_pack[_predecessor_map | dummy_property_map()],
|
|
detail::make_property_map_from_arg_pack_gen<tag::rank_map, D>(D())(g, arg_pack),
|
|
detail::make_property_map_from_arg_pack_gen<tag::distance_map, D>(D())(g, arg_pack),
|
|
detail::override_const_property(arg_pack, _weight_map, g, edge_weight),
|
|
arg_pack[_distance_compare | std::less<D>()],
|
|
arg_pack[_distance_combine | closed_plus<D>(inf)],
|
|
inf,
|
|
arg_pack[_distance_zero | D()]);
|
|
}
|
|
|
|
} // namespace boost
|
|
|
|
#endif // BOOST_GRAPH_ASTAR_SEARCH_HPP
|