epoc32/include/stdapis/boost/graph/johnson_all_pairs_shortest.hpp
author William Roberts <williamr@symbian.org>
Wed, 31 Mar 2010 12:33:34 +0100 (2010-03-31)
branchSymbian3
changeset 4 837f303aceeb
permissions -rw-r--r--
Current Symbian^3 public API header files (from PDK 3.0.h)
This is the epoc32/include tree with the "platform" subtrees removed, and
all but a selected few mbg and rsg files removed.
     1 //=======================================================================
     2 // Copyright 1997, 1998, 1999, 2000 University of Notre Dame.
     3 // Authors: Andrew Lumsdaine, Lie-Quan Lee, Jeremy G. Siek
     4 //
     5 // Distributed under the Boost Software License, Version 1.0. (See
     6 // accompanying file LICENSE_1_0.txt or copy at
     7 // http://www.boost.org/LICENSE_1_0.txt)
     8 //=======================================================================
     9 
    10 /*
    11   This file implements the function
    12 
    13   template <class VertexAndEdgeListGraph, class DistanceMatrix,
    14             class P, class T, class R>
    15   bool
    16   johnson_all_pairs_shortest_paths
    17     (VertexAndEdgeListGraph& g, 
    18      DistanceMatrix& D,
    19      const bgl_named_params<P, T, R>& params)
    20  */
    21 
    22 #ifndef BOOST_GRAPH_JOHNSON_HPP
    23 #define BOOST_GRAPH_JOHNSON_HPP
    24 
    25 #include <boost/graph/graph_traits.hpp>
    26 #include <boost/property_map.hpp>
    27 #include <boost/graph/bellman_ford_shortest_paths.hpp>
    28 #include <boost/graph/dijkstra_shortest_paths.hpp>
    29 #include <boost/graph/adjacency_list.hpp>
    30 #include <boost/pending/ct_if.hpp>
    31 #include <boost/type_traits/same_traits.hpp>
    32 
    33 namespace boost {
    34 
    35   template <class VertexAndEdgeListGraph, class DistanceMatrix,
    36             class VertexID, class Weight, typename BinaryPredicate, 
    37             typename BinaryFunction, typename Infinity, class DistanceZero>
    38   bool
    39   johnson_all_pairs_shortest_paths(VertexAndEdgeListGraph& g1, 
    40                DistanceMatrix& D,
    41                VertexID id1, Weight w1, const BinaryPredicate& compare, 
    42                const BinaryFunction& combine, const Infinity& inf,
    43                DistanceZero zero)
    44   {
    45     typedef graph_traits<VertexAndEdgeListGraph> Traits1;
    46     typedef typename property_traits<Weight>::value_type DT;
    47     function_requires< BasicMatrixConcept<DistanceMatrix,
    48       typename Traits1::vertices_size_type, DT> >();
    49 
    50     typedef typename Traits1::directed_category DirCat;
    51     bool is_undirected = is_same<DirCat, undirected_tag>::value;
    52 
    53     typedef adjacency_list<vecS, vecS, directedS, 
    54       property< vertex_distance_t, DT>,
    55       property< edge_weight_t, DT, 
    56       property< edge_weight2_t, DT > > > Graph2;
    57     typedef graph_traits<Graph2> Traits2;
    58 
    59     Graph2 g2(num_vertices(g1) + 1);
    60     typename property_map<Graph2, edge_weight_t>::type 
    61       w = get(edge_weight, g2);
    62     typename property_map<Graph2, edge_weight2_t>::type 
    63       w_hat = get(edge_weight2, g2);
    64     typename property_map<Graph2, vertex_distance_t>::type 
    65       d = get(vertex_distance, g2);
    66     typedef typename property_map<Graph2, vertex_index_t>::type VertexID2;
    67     VertexID2 id2 = get(vertex_index, g2);
    68 
    69     // Construct g2 where V[g2] = V[g1] U {s}
    70     //   and  E[g2] = E[g1] U {(s,v)| v in V[g1]}
    71     std::vector<typename Traits1::vertex_descriptor> 
    72       verts1(num_vertices(g1) + 1);
    73     typename Traits2::vertex_descriptor s = *vertices(g2).first;
    74     {
    75       typename Traits1::vertex_iterator v, v_end;
    76       int i = 1;
    77       for (tie(v, v_end) = vertices(g1); v != v_end; ++v, ++i) {
    78         typename Traits2::edge_descriptor e; bool z;
    79         tie(e, z) = add_edge(s, get(id1, *v) + 1, g2);
    80         put(w, e, zero);
    81         verts1[i] = *v;
    82       }
    83       typename Traits1::edge_iterator e, e_end;
    84       for (tie(e, e_end) = edges(g1); e != e_end; ++e) {
    85         typename Traits2::edge_descriptor e2; bool z;
    86         tie(e2, z) = add_edge(get(id1, source(*e, g1)) + 1, 
    87                               get(id1, target(*e, g1)) + 1, g2);
    88         put(w, e2, get(w1, *e));
    89         if (is_undirected) {
    90           tie(e2, z) = add_edge(get(id1, target(*e, g1)) + 1, 
    91                                 get(id1, source(*e, g1)) + 1, g2);
    92           put(w, e2, get(w1, *e));
    93         }
    94       }
    95     }
    96     typename Traits2::vertex_iterator v, v_end, u, u_end;
    97     typename Traits2::edge_iterator e, e_end;
    98     std::vector<DT> h_vec(num_vertices(g2));
    99     typedef typename std::vector<DT>::iterator iter_t;
   100     iterator_property_map<iter_t,VertexID2,DT,DT&> h(h_vec.begin(), id2);
   101 
   102     for (tie(v, v_end) = vertices(g2); v != v_end; ++v)
   103       d[*v] = inf;
   104 
   105     put(d, s, zero);
   106     // Using the non-named parameter versions of bellman_ford and
   107     // dijkstra for portability reasons.
   108     dummy_property_map pred; bellman_visitor<> bvis;
   109     if (bellman_ford_shortest_paths
   110         (g2, num_vertices(g2), w, pred, d, combine, compare, bvis)) {
   111       for (tie(v, v_end) = vertices(g2); v != v_end; ++v)
   112         put(h, *v, get(d, *v));
   113       // Reweight the edges to remove negatives
   114       for (tie(e, e_end) = edges(g2); e != e_end; ++e) {
   115         typename Traits2::vertex_descriptor a = source(*e, g2),
   116           b = target(*e, g2);
   117         put(w_hat, *e, get(w, *e) + get(h, a) - get(h, b));
   118       }
   119       for (tie(u, u_end) = vertices(g2); u != u_end; ++u) {
   120         dijkstra_visitor<> dvis;
   121         dijkstra_shortest_paths
   122           (g2, *u, pred, d, w_hat, id2, compare, combine, inf, zero,dvis);
   123         for (tie(v, v_end) = vertices(g2); v != v_end; ++v) {
   124           if (*u != s && *v != s) {
   125             typename Traits1::vertex_descriptor u1, v1;
   126             u1 = verts1[id2[*u]]; v1 = verts1[id2[*v]];
   127             D[id2[*u]-1][id2[*v]-1] = get(d, *v) + get(h, *v) - get(h, *u);
   128           }
   129         }
   130       }
   131       return true;
   132     } else
   133       return false;
   134   }
   135 
   136   template <class VertexAndEdgeListGraph, class DistanceMatrix,
   137             class VertexID, class Weight, class DistanceZero>
   138   bool
   139   johnson_all_pairs_shortest_paths(VertexAndEdgeListGraph& g1, 
   140                DistanceMatrix& D,
   141                VertexID id1, Weight w1, DistanceZero zero)
   142   {
   143     typedef typename property_traits<Weight>::value_type WT;
   144     return johnson_all_pairs_shortest_paths(g1, D, id1, w1, 
   145                                             std::less<WT>(),
   146                                             closed_plus<WT>(),
   147                                             (std::numeric_limits<WT>::max)(),
   148                                             zero);
   149   }
   150 
   151   namespace detail {
   152 
   153     template <class VertexAndEdgeListGraph, class DistanceMatrix,
   154               class P, class T, class R, class Weight, 
   155               class VertexID>
   156     bool
   157     johnson_dispatch(VertexAndEdgeListGraph& g, 
   158                      DistanceMatrix& D,
   159                      const bgl_named_params<P, T, R>& params,
   160                      Weight w, VertexID id)
   161     {
   162       typedef typename property_traits<Weight>::value_type WT;
   163       
   164       return johnson_all_pairs_shortest_paths
   165         (g, D, id, w,
   166         choose_param(get_param(params, distance_compare_t()), 
   167           std::less<WT>()),
   168         choose_param(get_param(params, distance_combine_t()), 
   169           closed_plus<WT>()),
   170         choose_param(get_param(params, distance_inf_t()), 
   171           std::numeric_limits<WT>::max BOOST_PREVENT_MACRO_SUBSTITUTION()),
   172          choose_param(get_param(params, distance_zero_t()), WT()) );
   173     }
   174 
   175   } // namespace detail
   176 
   177   template <class VertexAndEdgeListGraph, class DistanceMatrix,
   178             class P, class T, class R>
   179   bool
   180   johnson_all_pairs_shortest_paths
   181     (VertexAndEdgeListGraph& g, 
   182      DistanceMatrix& D,
   183      const bgl_named_params<P, T, R>& params)
   184   {
   185     return detail::johnson_dispatch
   186       (g, D, params,
   187        choose_const_pmap(get_param(params, edge_weight), g, edge_weight),
   188        choose_const_pmap(get_param(params, vertex_index), g, vertex_index)
   189        );
   190   }
   191 
   192   template <class VertexAndEdgeListGraph, class DistanceMatrix>
   193   bool
   194   johnson_all_pairs_shortest_paths
   195     (VertexAndEdgeListGraph& g, DistanceMatrix& D)
   196   {
   197     bgl_named_params<int,int> params(1);
   198     return detail::johnson_dispatch
   199       (g, D, params, get(edge_weight, g), get(vertex_index, g));
   200   }
   201 
   202 } // namespace boost
   203 
   204 #endif // BOOST_GRAPH_JOHNSON_HPP
   205 
   206