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// (C) Copyright Andrew Sutton 2007 // // Use, modification and distribution are subject to the // Boost Software License, Version 1.0 (See accompanying file // LICENSE_1_0.txt or http://www.boost.org/LICENSE_1_0.txt) #ifndef BOOST_GRAPH_GEODESIC_DISTANCE_HPP #define BOOST_GRAPH_GEODESIC_DISTANCE_HPP #include #include #include namespace boost { template < typename Graph, typename DistanceType, typename ResultType, typename Divides = std::divides< ResultType > > struct mean_geodesic_measure : public geodesic_measure< Graph, DistanceType, ResultType > { typedef geodesic_measure< Graph, DistanceType, ResultType > base_type; typedef typename base_type::distance_type distance_type; typedef typename base_type::result_type result_type; result_type operator()(distance_type d, const Graph& g) { BOOST_CONCEPT_ASSERT((VertexListGraphConcept< Graph >)); BOOST_CONCEPT_ASSERT((NumericValueConcept< DistanceType >)); BOOST_CONCEPT_ASSERT((NumericValueConcept< ResultType >)); // NOTE: Disabled until this concept assert is fixed in Boost.ConceptCheck. // BOOST_CONCEPT_ASSERT((AdaptableBinaryFunctionConcept< Divides, // ResultType, ResultType, ResultType >)); return (d == base_type::infinite_distance()) ? base_type::infinite_result() : div(result_type(d), result_type(num_vertices(g) - 1)); } Divides div; }; template < typename Graph, typename DistanceMap > inline mean_geodesic_measure< Graph, typename property_traits< DistanceMap >::value_type, double > measure_mean_geodesic(const Graph&, DistanceMap) { return mean_geodesic_measure< Graph, typename property_traits< DistanceMap >::value_type, double >(); } template < typename T, typename Graph, typename DistanceMap > inline mean_geodesic_measure< Graph, typename property_traits< DistanceMap >::value_type, T > measure_mean_geodesic(const Graph&, DistanceMap) { return mean_geodesic_measure< Graph, typename property_traits< DistanceMap >::value_type, T >(); } // This is a little different because it's expected that the result type // should (must?) be the same as the distance type. There's a type of // transitivity in this thinking... If the average of distances has type // X then the average of x's should also be type X. Is there a case where this // is not true? // // This type is a little under-genericized... It needs generic parameters // for addition and division. template < typename Graph, typename DistanceType > struct mean_graph_distance_measure : public geodesic_measure< Graph, DistanceType, DistanceType > { typedef geodesic_measure< Graph, DistanceType, DistanceType > base_type; typedef typename base_type::distance_type distance_type; typedef typename base_type::result_type result_type; inline result_type operator()(distance_type d, const Graph& g) { BOOST_CONCEPT_ASSERT((VertexListGraphConcept< Graph >)); BOOST_CONCEPT_ASSERT((NumericValueConcept< DistanceType >)); if (d == base_type::infinite_distance()) { return base_type::infinite_result(); } else { return d / result_type(num_vertices(g)); } } }; template < typename Graph, typename DistanceMap > inline mean_graph_distance_measure< Graph, typename property_traits< DistanceMap >::value_type > measure_graph_mean_geodesic(const Graph&, DistanceMap) { typedef typename property_traits< DistanceMap >::value_type T; return mean_graph_distance_measure< Graph, T >(); } template < typename Graph, typename DistanceMap, typename Measure, typename Combinator > inline typename Measure::result_type mean_geodesic( const Graph& g, DistanceMap dist, Measure measure, Combinator combine) { BOOST_CONCEPT_ASSERT((DistanceMeasureConcept< Measure, Graph >)); typedef typename Measure::distance_type Distance; Distance n = detail::combine_distances(g, dist, combine, Distance(0)); return measure(n, g); } template < typename Graph, typename DistanceMap, typename Measure > inline typename Measure::result_type mean_geodesic( const Graph& g, DistanceMap dist, Measure measure) { BOOST_CONCEPT_ASSERT((DistanceMeasureConcept< Measure, Graph >)); typedef typename Measure::distance_type Distance; return mean_geodesic(g, dist, measure, std::plus< Distance >()); } template < typename Graph, typename DistanceMap > inline double mean_geodesic(const Graph& g, DistanceMap dist) { return mean_geodesic(g, dist, measure_mean_geodesic(g, dist)); } template < typename T, typename Graph, typename DistanceMap > inline T mean_geodesic(const Graph& g, DistanceMap dist) { return mean_geodesic(g, dist, measure_mean_geodesic< T >(g, dist)); } template < typename Graph, typename DistanceMatrixMap, typename GeodesicMap, typename Measure > inline typename property_traits< GeodesicMap >::value_type all_mean_geodesics( const Graph& g, DistanceMatrixMap dist, GeodesicMap geo, Measure measure) { BOOST_CONCEPT_ASSERT((VertexListGraphConcept< Graph >)); typedef typename graph_traits< Graph >::vertex_descriptor Vertex; typedef typename graph_traits< Graph >::vertex_iterator VertexIterator; BOOST_CONCEPT_ASSERT( (ReadablePropertyMapConcept< DistanceMatrixMap, Vertex >)); typedef typename property_traits< DistanceMatrixMap >::value_type DistanceMap; BOOST_CONCEPT_ASSERT((DistanceMeasureConcept< Measure, Graph >)); typedef typename Measure::result_type Result; BOOST_CONCEPT_ASSERT((WritablePropertyMapConcept< GeodesicMap, Vertex >)); BOOST_CONCEPT_ASSERT((NumericValueConcept< Result >)); // NOTE: We could compute the mean geodesic here by performing additional // computations (i.e., adding and dividing). However, I don't really feel // like fully genericizing the entire operation yet so I'm not going to. Result inf = numeric_values< Result >::infinity(); Result sum = numeric_values< Result >::zero(); VertexIterator i, end; for (boost::tie(i, end) = vertices(g); i != end; ++i) { DistanceMap dm = get(dist, *i); Result r = mean_geodesic(g, dm, measure); put(geo, *i, r); // compute the sum along with geodesics if (r == inf) { sum = inf; } else if (sum != inf) { sum += r; } } // return the average of averages. return sum / Result(num_vertices(g)); } template < typename Graph, typename DistanceMatrixMap, typename GeodesicMap > inline typename property_traits< GeodesicMap >::value_type all_mean_geodesics( const Graph& g, DistanceMatrixMap dist, GeodesicMap geo) { BOOST_CONCEPT_ASSERT((GraphConcept< Graph >)); typedef typename graph_traits< Graph >::vertex_descriptor Vertex; BOOST_CONCEPT_ASSERT( (ReadablePropertyMapConcept< DistanceMatrixMap, Vertex >)); typedef typename property_traits< DistanceMatrixMap >::value_type DistanceMap; BOOST_CONCEPT_ASSERT((WritablePropertyMapConcept< GeodesicMap, Vertex >)); typedef typename property_traits< GeodesicMap >::value_type Result; return all_mean_geodesics( g, dist, geo, measure_mean_geodesic< Result >(g, DistanceMap())); } template < typename Graph, typename GeodesicMap, typename Measure > inline typename Measure::result_type small_world_distance( const Graph& g, GeodesicMap geo, Measure measure) { BOOST_CONCEPT_ASSERT((DistanceMeasureConcept< Measure, Graph >)); typedef typename Measure::result_type Result; Result sum = detail::combine_distances(g, geo, std::plus< Result >(), Result(0)); return measure(sum, g); } template < typename Graph, typename GeodesicMap > inline typename property_traits< GeodesicMap >::value_type small_world_distance( const Graph& g, GeodesicMap geo) { return small_world_distance(g, geo, measure_graph_mean_geodesic(g, geo)); } } #endif