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1//=======================================================================
2// Copyright 2013 University of Warsaw.
92f5a8d4 3// Authors: Piotr Wygocki
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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//This algorithm is described in "Network Flows: Theory, Algorithms, and Applications"
11// by Ahuja, Magnanti, Orlin.
12
13#ifndef BOOST_GRAPH_SUCCESSIVE_SHORTEST_PATH_HPP
92f5a8d4 14#define BOOST_GRAPH_SUCCESSIVE_SHORTEST_PATH_HPP
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15
16#include <numeric>
17
18#include <boost/property_map/property_map.hpp>
19#include <boost/graph/graph_traits.hpp>
20#include <boost/graph/graph_concepts.hpp>
21#include <boost/pending/indirect_cmp.hpp>
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22#include <boost/graph/dijkstra_shortest_paths.hpp>
23#include <boost/graph/properties.hpp>
24#include <boost/graph/iteration_macros.hpp>
25#include <boost/graph/detail/augment.hpp>
26
27namespace boost {
28
29
30namespace detail {
92f5a8d4 31
7c673cae 32template <class Graph, class Weight, class Distance, class Reversed>
92f5a8d4 33class MapReducedWeight :
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34 public put_get_helper<typename property_traits<Weight>::value_type, MapReducedWeight<Graph, Weight, Distance, Reversed> > {
35 typedef graph_traits<Graph> gtraits;
36public:
37 typedef boost::readable_property_map_tag category;
38 typedef typename property_traits<Weight>::value_type value_type;
39 typedef value_type reference;
40 typedef typename gtraits::edge_descriptor key_type;
92f5a8d4 41 MapReducedWeight(const Graph & g, Weight w, Distance d, Reversed r) :
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42 g_(g), weight_(w), distance_(d), rev_(r) {}
43
44 reference operator[](key_type v) const {
92f5a8d4 45 return get(distance_, source(v, g_)) - get(distance_,target(v, g_)) + get(weight_, v);
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46 }
47private:
48 const Graph & g_;
49 Weight weight_;
50 Distance distance_;
51 Reversed rev_;
52};
53
54template <class Graph, class Weight, class Distance, class Reversed>
92f5a8d4 55MapReducedWeight<Graph, Weight, Distance, Reversed>
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56make_mapReducedWeight(const Graph & g, Weight w, Distance d, Reversed r) {
57 return MapReducedWeight<Graph, Weight, Distance, Reversed>(g, w, d, r);
58}
59
60}//detail
61
62
63template <class Graph, class Capacity, class ResidualCapacity, class Reversed, class Pred, class Weight, class Distance, class Distance2, class VertexIndex>
64void successive_shortest_path_nonnegative_weights(
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65 const Graph &g,
66 typename graph_traits<Graph>::vertex_descriptor s,
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67 typename graph_traits<Graph>::vertex_descriptor t,
68 Capacity capacity,
69 ResidualCapacity residual_capacity,
92f5a8d4 70 Weight weight,
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71 Reversed rev,
72 VertexIndex index,
92f5a8d4 73 Pred pred,
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74 Distance distance,
75 Distance2 distance_prev) {
76 filtered_graph<const Graph, is_residual_edge<ResidualCapacity> >
77 gres = detail::residual_graph(g, residual_capacity);
78 typedef typename graph_traits<Graph>::edge_descriptor edge_descriptor;
92f5a8d4 79
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80 BGL_FORALL_EDGES_T(e, g, Graph) {
81 put(residual_capacity, e, get(capacity, e));
82 }
83
84 BGL_FORALL_VERTICES_T(v, g, Graph) {
85 put(distance_prev, v, 0);
86 }
87
88 while(true) {
89 BGL_FORALL_VERTICES_T(v, g, Graph) {
90 put(pred, v, edge_descriptor());
91 }
92f5a8d4 92 dijkstra_shortest_paths(gres, s,
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93 weight_map(detail::make_mapReducedWeight(gres, weight, distance_prev, rev)).
94 distance_map(distance).
95 vertex_index_map(index).
96 visitor(make_dijkstra_visitor(record_edge_predecessors(pred, on_edge_relaxed()))));
97
98 if(get(pred, t) == edge_descriptor()) {
99 break;
100 }
101
102 BGL_FORALL_VERTICES_T(v, g, Graph) {
103 put(distance_prev, v, get(distance_prev, v) + get(distance, v));
104 }
105
106 detail::augment(g, s, t, pred, residual_capacity, rev);
107 }
108}
109
110//in this namespace argument dispatching tak place
111namespace detail {
112
113template <class Graph, class Capacity, class ResidualCapacity, class Weight, class Reversed, class Pred, class Distance, class Distance2, class VertexIndex>
114void successive_shortest_path_nonnegative_weights_dispatch3(
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115 const Graph &g,
116 typename graph_traits<Graph>::vertex_descriptor s,
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117 typename graph_traits<Graph>::vertex_descriptor t,
118 Capacity capacity,
119 ResidualCapacity residual_capacity,
120 Weight weight,
121 Reversed rev,
122 VertexIndex index,
123 Pred pred,
124 Distance dist,
125 Distance2 dist_pred) {
126 successive_shortest_path_nonnegative_weights(g, s, t, capacity, residual_capacity, weight, rev, index, pred, dist, dist_pred);
127}
128
129//setting default distance map
130template <class Graph, class Capacity, class ResidualCapacity, class Weight, class Reversed, class Pred, class Distance, class VertexIndex>
131void successive_shortest_path_nonnegative_weights_dispatch3(
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132 Graph &g,
133 typename graph_traits<Graph>::vertex_descriptor s,
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134 typename graph_traits<Graph>::vertex_descriptor t,
135 Capacity capacity,
136 ResidualCapacity residual_capacity,
137 Weight weight,
138 Reversed rev,
139 VertexIndex index,
140 Pred pred,
141 Distance dist,
142 param_not_found) {
143 typedef typename property_traits<Weight>::value_type D;
144
145 std::vector<D> d_map(num_vertices(g));
146
147 successive_shortest_path_nonnegative_weights(g, s, t, capacity, residual_capacity, weight, rev, index, pred, dist,
148 make_iterator_property_map(d_map.begin(), index));
149}
150
151template <class Graph, class P, class T, class R, class Capacity, class ResidualCapacity, class Weight, class Reversed, class Pred, class Distance, class VertexIndex>
152void successive_shortest_path_nonnegative_weights_dispatch2(
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153 Graph &g,
154 typename graph_traits<Graph>::vertex_descriptor s,
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155 typename graph_traits<Graph>::vertex_descriptor t,
156 Capacity capacity,
157 ResidualCapacity residual_capacity,
158 Weight weight,
159 Reversed rev,
160 VertexIndex index,
161 Pred pred,
162 Distance dist,
163 const bgl_named_params<P, T, R>& params) {
164 successive_shortest_path_nonnegative_weights_dispatch3(g, s, t, capacity, residual_capacity, weight, rev, index, pred, dist, get_param(params, vertex_distance2));
165}
166
167//setting default distance map
168template <class Graph, class P, class T, class R, class Capacity, class ResidualCapacity, class Weight, class Reversed, class Pred, class VertexIndex>
169void successive_shortest_path_nonnegative_weights_dispatch2(
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170 Graph &g,
171 typename graph_traits<Graph>::vertex_descriptor s,
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172 typename graph_traits<Graph>::vertex_descriptor t,
173 Capacity capacity,
174 ResidualCapacity residual_capacity,
175 Weight weight,
176 Reversed rev,
177 VertexIndex index,
178 Pred pred,
92f5a8d4 179 param_not_found,
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180 const bgl_named_params<P, T, R>& params) {
181 typedef typename property_traits<Weight>::value_type D;
182
183 std::vector<D> d_map(num_vertices(g));
184
185 successive_shortest_path_nonnegative_weights_dispatch3(g, s, t, capacity, residual_capacity, weight, rev, index, pred,
186 make_iterator_property_map(d_map.begin(), index),
187 get_param(params, vertex_distance2));
188}
189
190template <class Graph, class P, class T, class R, class Capacity, class ResidualCapacity, class Weight, class Reversed, class Pred, class VertexIndex>
191void successive_shortest_path_nonnegative_weights_dispatch1(
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192 Graph &g,
193 typename graph_traits<Graph>::vertex_descriptor s,
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194 typename graph_traits<Graph>::vertex_descriptor t,
195 Capacity capacity,
196 ResidualCapacity residual_capacity,
92f5a8d4 197 Weight weight,
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198 Reversed rev,
199 VertexIndex index,
200 Pred pred,
201 const bgl_named_params<P, T, R>& params) {
202 successive_shortest_path_nonnegative_weights_dispatch2(g, s, t, capacity, residual_capacity, weight, rev, index, pred,
203 get_param(params, vertex_distance), params);
204}
205
206//setting default predecessors map
207template <class Graph, class P, class T, class R, class Capacity, class ResidualCapacity, class Weight, class Reversed, class VertexIndex>
208void successive_shortest_path_nonnegative_weights_dispatch1(
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209 Graph &g,
210 typename graph_traits<Graph>::vertex_descriptor s,
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211 typename graph_traits<Graph>::vertex_descriptor t,
212 Capacity capacity,
213 ResidualCapacity residual_capacity,
92f5a8d4 214 Weight weight,
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215 Reversed rev,
216 VertexIndex index,
217 param_not_found,
218 const bgl_named_params<P, T, R>& params) {
219 typedef typename graph_traits<Graph>::edge_descriptor edge_descriptor;
220 std::vector<edge_descriptor> pred_vec(num_vertices(g));
221
92f5a8d4 222 successive_shortest_path_nonnegative_weights_dispatch2(g, s, t, capacity, residual_capacity, weight, rev, index,
7c673cae 223 make_iterator_property_map(pred_vec.begin(), index),
92f5a8d4 224 get_param(params, vertex_distance), params);
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225}
226
227}//detail
228
229
230template <class Graph, class P, class T, class R>
231void successive_shortest_path_nonnegative_weights(
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232 Graph &g,
233 typename graph_traits<Graph>::vertex_descriptor s,
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234 typename graph_traits<Graph>::vertex_descriptor t,
235 const bgl_named_params<P, T, R>& params) {
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236
237 return detail::successive_shortest_path_nonnegative_weights_dispatch1(g, s, t,
7c673cae 238 choose_const_pmap(get_param(params, edge_capacity), g, edge_capacity),
92f5a8d4 239 choose_pmap(get_param(params, edge_residual_capacity),
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240 g, edge_residual_capacity),
241 choose_const_pmap(get_param(params, edge_weight), g, edge_weight),
242 choose_const_pmap(get_param(params, edge_reverse), g, edge_reverse),
243 choose_const_pmap(get_param(params, vertex_index), g, vertex_index),
92f5a8d4 244 get_param(params, vertex_predecessor),
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245 params);
246}
247
248template <class Graph>
249void successive_shortest_path_nonnegative_weights(
250 Graph &g,
92f5a8d4 251 typename graph_traits<Graph>::vertex_descriptor s,
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252 typename graph_traits<Graph>::vertex_descriptor t) {
253 bgl_named_params<int, buffer_param_t> params(0);
254 successive_shortest_path_nonnegative_weights(g, s, t, params);
255}
256
257
258}//boost
259#endif /* BOOST_GRAPH_SUCCESSIVE_SHORTEST_PATH_HPP */