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//======================================================================= // Copyright 1997, 1998, 1999, 2000 University of Notre Dame. // Authors: Andrew Lumsdaine, Lie-Quan Lee, Jeremy G. Siek, // // 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) //======================================================================= #ifndef BOOST_GRAPH_RELAX_HPP #define BOOST_GRAPH_RELAX_HPP #include #include // for numeric limits #include #include namespace boost { // The following version of the plus functor prevents // problems due to overflow at positive infinity. template < class T > struct closed_plus { const T inf; closed_plus() : inf((std::numeric_limits< T >::max)()) {} closed_plus(T inf) : inf(inf) {} T operator()(const T& a, const T& b) const { using namespace std; if (a == inf) return inf; if (b == inf) return inf; return a + b; } }; template < class Graph, class WeightMap, class PredecessorMap, class DistanceMap, class BinaryFunction, class BinaryPredicate > bool relax(typename graph_traits< Graph >::edge_descriptor e, const Graph& g, const WeightMap& w, PredecessorMap& p, DistanceMap& d, const BinaryFunction& combine, const BinaryPredicate& compare) { typedef typename graph_traits< Graph >::directed_category DirCat; bool is_undirected = is_same< DirCat, undirected_tag >::value; typedef typename graph_traits< Graph >::vertex_descriptor Vertex; Vertex u = source(e, g), v = target(e, g); typedef typename property_traits< DistanceMap >::value_type D; typedef typename property_traits< WeightMap >::value_type W; const D d_u = get(d, u); const D d_v = get(d, v); const W& w_e = get(w, e); // The seemingly redundant comparisons after the distance puts are to // ensure that extra floating-point precision in x87 registers does not // lead to relax() returning true when the distance did not actually // change. if (compare(combine(d_u, w_e), d_v)) { put(d, v, combine(d_u, w_e)); if (compare(get(d, v), d_v)) { put(p, v, u); return true; } else { return false; } } else if (is_undirected && compare(combine(d_v, w_e), d_u)) { put(d, u, combine(d_v, w_e)); if (compare(get(d, u), d_u)) { put(p, u, v); return true; } else { return false; } } else return false; } template < class Graph, class WeightMap, class PredecessorMap, class DistanceMap, class BinaryFunction, class BinaryPredicate > bool relax_target(typename graph_traits< Graph >::edge_descriptor e, const Graph& g, const WeightMap& w, PredecessorMap& p, DistanceMap& d, const BinaryFunction& combine, const BinaryPredicate& compare) { typedef typename graph_traits< Graph >::vertex_descriptor Vertex; typedef typename property_traits< DistanceMap >::value_type D; typedef typename property_traits< WeightMap >::value_type W; const Vertex u = source(e, g); const Vertex v = target(e, g); const D d_u = get(d, u); const D d_v = get(d, v); const W& w_e = get(w, e); // The seemingly redundant comparisons after the distance puts are to // ensure that extra floating-point precision in x87 registers does not // lead to relax() returning true when the distance did not actually // change. if (compare(combine(d_u, w_e), d_v)) { put(d, v, combine(d_u, w_e)); if (compare(get(d, v), d_v)) { put(p, v, u); return true; } } return false; } template < class Graph, class WeightMap, class PredecessorMap, class DistanceMap > bool relax(typename graph_traits< Graph >::edge_descriptor e, const Graph& g, WeightMap w, PredecessorMap p, DistanceMap d) { typedef typename property_traits< DistanceMap >::value_type D; typedef closed_plus< D > Combine; typedef std::less< D > Compare; return relax(e, g, w, p, d, Combine(), Compare()); } } // namespace boost #endif /* BOOST_GRAPH_RELAX_HPP */