COIN-OR::LEMON - Graph Library

source: lemon-0.x/src/work/marci/bipartite_matching_try_3.cc @ 526:def920ddaba7

Last change on this file since 526:def920ddaba7 was 512:d5fe2f3f95fc, checked in by marci, 20 years ago

bip matching...

File size: 8.1 KB
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1// -*- c++ -*-
2#include <iostream>
3#include <fstream>
4#include <vector>
5#include <cstdlib>
6
7#include <list_graph.h>
8//#include <smart_graph.h>
9//#include <dimacs.h>
10#include <time_measure.h>
11#include <for_each_macros.h>
12#include <bfs_iterator.h>
13#include <bipartite_graph_wrapper.h>
14#include <maps.h>
15#include <max_flow.h>
16
17using namespace hugo;
18
19// template <typename Graph, typename EdgeCap, typename NodeCap,
20//        typename EdgeFlow, typename NodeFlow>
21// class MaxMatching : public MaxFlow<stGraphWrapper<Graph>,
22//                                 stGraphWrapper<Graph>:: EdgeMapWrapper<EdgeCan, NodeCap>, stGraphWrapper<Graph>::EdgeMapWrapper<EdgeFlow, NodeFlow> > {
23//   typedef MaxFlow<stGraphWrapper<Graph>,
24//                stGraphWrapper<Graph>::EdgeMapWrapper<EdgeCan, NodeCap>,
25//                stGraphWrapper<Graph>::EdgeMapWrapper<EdgeFlow, NodeFlow> >
26//   Parent;
27// protected:
28//   stGraphWrapper<Graph> gw;
29//   stGraphWrapper<Graph>::EdgeMapWrapper<EdgeCap, NodeCap> cap;
30//   stGraphWrapper<Graph>::EdgeMapWrapper<EdgeFlow, NodeFlow> flow;
31//   //graph* g;
32//   //EdgeCap* edge_cap;
33//   //EdgeFlow* edge_flow;
34// public:
35//   MaxMatching(Graph& _g, EdgeCap& _edge_cap, NodeCap& _node_cap,
36//            EdgeFlow& _edge_flow, NodeFlow& _node_flow) :
37//     MaxFlow(), gw(_g),
38//     cap(_edge_cap, _node_cap), flow(_edge_flow, _node_flow) {
39//     Parent::set(gw, cap, flow);
40//   }
41// };
42
43template <typename Graph, typename EdgeCap, typename NodeCap,
44          typename EdgeFlow, typename NodeFlow>
45class MaxMatching {
46protected:
47//   EdgeCap* edge_cap;
48//   NodeCap* node_cap;
49//   EdgeFlow* edge_flow;
50//   NodeFlow* node_flow;
51  typedef  stGraphWrapper<Graph> stGW;
52  stGW stgw;
53  typedef typename stGW::template EdgeMapWrapper<EdgeCap, NodeCap> CapMap;
54  CapMap cap;
55  NodeFlow* node_flow;
56  typedef typename stGW::template EdgeMapWrapper<EdgeFlow, NodeFlow> FlowMap;
57  FlowMap flow;
58  MaxFlow<stGW, int, CapMap, FlowMap> mf;
59  //graph* g;
60  //EdgeCap* edge_cap;
61  //EdgeFlow* edge_flow;
62public:
63  MaxMatching(Graph& _g, EdgeCap& _edge_cap, NodeCap& _node_cap,
64              EdgeFlow& _edge_flow, NodeFlow& _node_flow) :
65    stgw(_g),
66    cap(_edge_cap, _node_cap),
67    node_flow(0),
68    flow(_edge_flow, _node_flow),
69    mf(stgw, stgw.S_NODE, stgw.T_NODE, cap, flow) { }
70  MaxMatching(Graph& _g, EdgeCap& _edge_cap, NodeCap& _node_cap,
71              EdgeFlow& _edge_flow/*, NodeFlow& _node_flow*/) :
72    stgw(_g),
73    cap(_edge_cap, _node_cap),
74    node_flow(new NodeFlow(_g)),
75    flow(_edge_flow, *node_flow),
76    mf(stgw, stgw.S_NODE, stgw.T_NODE, cap, flow) { }
77  ~MaxMatching() { if (node_flow) delete node_flow; }
78  void run() { mf.run(); }
79  int matchingValue() { return mf.flowValue(); }
80};
81
82/**
83 * Inicializalja a veletlenszamgeneratort.
84 * Figyelem, ez nem jo igazi random szamokhoz,
85 * erre ne bizzad a titkaidat!
86 */
87void random_init()
88{
89        unsigned int seed = getpid();
90        seed |= seed << 15;
91        seed ^= time(0);
92
93        srand(seed);
94}
95
96/**
97 * Egy veletlen int-et ad vissza 0 es m-1 kozott.
98 */
99int random(int m)
100{
101  return int( double(m) * rand() / (RAND_MAX + 1.0) );
102}
103
104int main() {
105  //typedef UndirListGraph Graph;
106  typedef BipartiteGraph<ListGraph> Graph;
107 
108  typedef Graph::Node Node;
109  typedef Graph::NodeIt NodeIt;
110  typedef Graph::Edge Edge;
111  typedef Graph::EdgeIt EdgeIt;
112  typedef Graph::OutEdgeIt OutEdgeIt;
113
114  Graph g;
115
116  std::vector<Graph::Node> s_nodes;
117  std::vector<Graph::Node> t_nodes;
118
119  int a;
120  std::cout << "number of nodes in the first color class=";
121  std::cin >> a;
122  int b;
123  std::cout << "number of nodes in the second color class=";
124  std::cin >> b;
125  int m;
126  std::cout << "number of edges=";
127  std::cin >> m;
128 
129  std::cout << "Generatig a random bipartite graph..." << std::endl;
130  for (int i=0; i<a; ++i) s_nodes.push_back(g.addNode(false));
131  for (int i=0; i<b; ++i) t_nodes.push_back(g.addNode(true));
132
133  random_init();
134  for(int i=0; i<m; ++i) {
135    g.addEdge(s_nodes[random(a)], t_nodes[random(b)]);
136  }
137
138//   std::cout << "Edges of the bipartite graph:" << std::endl;
139//   FOR_EACH_LOC(EdgeIt, e, g) std::cout << e << " ";
140//   std::cout << std::endl;
141
142//   std::cout << "Nodes:" << std::endl;
143//   FOR_EACH_LOC(Graph::NodeIt, v, g) std::cout << v << " ";
144//   std::cout << std::endl;
145//   std::cout << "Nodes in T:" << std::endl;
146//   FOR_EACH_INC_LOC(Graph::ClassNodeIt, v, g, Graph::T_CLASS) std::cout << v << " ";
147//   std::cout << std::endl;
148//   std::cout << "Nodes in S:" << std::endl;
149//   FOR_EACH_INC_LOC(Graph::ClassNodeIt, v, g, Graph::S_CLASS) std::cout << v << " ";
150//   std::cout << std::endl;
151
152//   std::cout << "Erasing the first node..." << std::endl;
153//   NodeIt n;
154//   g.first(n);
155//   g.erase(n);
156//   std::cout << "Nodes of the bipartite graph:" << std::endl;
157//   FOR_EACH_GLOB(n, g) std::cout << n << " ";
158//   std::cout << std::endl;
159
160//   std::cout << "Nodes in T:" << std::endl;
161//   FOR_EACH_INC_LOC(Graph::ClassNodeIt, v, g, Graph::T_CLASS) std::cout << v << " ";
162//   std::cout << std::endl;
163//   std::cout << "Nodes in S:" << std::endl;
164//   FOR_EACH_INC_LOC(Graph::ClassNodeIt, v, g, Graph::S_CLASS) std::cout << v << " ";
165//   std::cout << std::endl;
166
167  typedef stGraphWrapper<Graph> stGW;
168  stGW stgw(g);
169  ConstMap<stGW::Edge, int> const1map(1);
170
171  Timer ts;
172  ts.reset();
173  stGW::EdgeMap<int> flow(stgw);
174  MaxFlow<stGW, int, ConstMap<stGW::Edge, int>, stGW::EdgeMap<int> >
175    max_flow_test(stgw, stgw.S_NODE, stgw.T_NODE, const1map, flow);
176  max_flow_test.run();
177//  while (max_flow_test.augmentOnShortestPath()) { }
178//  typedef ListGraph MutableGraph;
179//  while (max_flow_test.augmentOnBlockingFlow1<MutableGraph>()) {
180//  while (max_flow_test.augmentOnBlockingFlow2()) {
181//   std::cout << max_flow_test.flowValue() << std::endl;
182//  }
183  std::cout << "max flow value: " << max_flow_test.flowValue() << std::endl;
184  std::cout << "elapsed time: " << ts << std::endl;
185//   FOR_EACH_LOC(stGW::EdgeIt, e, stgw) {
186//     if (flow[e]) std::cout << e << std::endl;
187//   }
188  std::cout << std::endl;
189
190  typedef ConstMap<Graph::Edge, int> EdgeCap;
191  EdgeCap ge1(1);
192  typedef ConstMap<Graph::Node, int> NodeCap;
193  NodeCap gn1(1);
194  typedef Graph::EdgeMap<int> EdgeFlow;
195  EdgeFlow gef(g); //0
196  typedef Graph::NodeMap<int> NodeFlow;
197  NodeFlow gnf(g); //0
198
199  typedef stGraphWrapper<Graph>::EdgeMapWrapper<EdgeCap, NodeCap> CapMap;
200  typedef stGraphWrapper<Graph>::EdgeMapWrapper<EdgeFlow, NodeFlow> FlowMap;
201  CapMap cm(ge1, gn1);
202  FlowMap fm(gef, gnf);
203
204  //Timer ts;
205  ts.reset();
206  //stGW::EdgeMap<int> flow(stgw);
207  MaxFlow<stGW, int, CapMap, FlowMap>
208    max_flow_test1(stgw, stgw.S_NODE, stgw.T_NODE, cm, fm);
209  max_flow_test1.run();
210//  while (max_flow_test.augmentOnShortestPath()) { }
211//  typedef ListGraph MutableGraph;
212//  while (max_flow_test.augmentOnBlockingFlow1<MutableGraph>()) {
213//  while (max_flow_test.augmentOnBlockingFlow2()) {
214//   std::cout << max_flow_test.flowValue() << std::endl;
215//  }
216  std::cout << "max flow value: " << max_flow_test1.flowValue() << std::endl;
217  std::cout << "elapsed time: " << ts << std::endl;
218//   FOR_EACH_LOC(Graph::EdgeIt, e, g) {
219//     if (gef[e]) std::cout << e << std::endl;
220//   }
221  std::cout << std::endl;
222
223  ts.reset();
224  FOR_EACH_LOC(Graph::EdgeIt, e, g) gef.set(e, 0);
225  FOR_EACH_LOC(Graph::NodeIt, n, g) gnf.set(n, 0);
226  MaxMatching<Graph, ConstMap<Graph::Edge, int>, ConstMap<Graph::Node, int>,
227    Graph::EdgeMap<int>, Graph::NodeMap<int> >
228    matching_test(g, ge1, gn1, gef, gnf);
229  matching_test.run();
230
231  std::cout << "max flow value: " << matching_test.matchingValue() << std::endl;
232  std::cout << "elapsed time: " << ts << std::endl;
233//   FOR_EACH_LOC(Graph::EdgeIt, e, g) {
234//     if (gef[e]) std::cout << e << std::endl;
235//   }
236  std::cout << std::endl;
237
238  ts.reset();
239  FOR_EACH_LOC(Graph::EdgeIt, e, g) gef.set(e, 0);
240  //FOR_EACH_LOC(Graph::NodeIt, n, g) gnf.set(n, 0);
241  MaxMatching<Graph, ConstMap<Graph::Edge, int>, ConstMap<Graph::Node, int>,
242    Graph::EdgeMap<int>, Graph::NodeMap<int> >
243    matching_test_1(g, ge1, gn1, gef/*, gnf*/);
244  matching_test_1.run();
245
246  std::cout << "max flow value: " << matching_test_1.matchingValue() << std::endl;
247  std::cout << "elapsed time: " << ts << std::endl;
248//   FOR_EACH_LOC(Graph::EdgeIt, e, g) {
249//     if (gef[e]) std::cout << e << std::endl;
250//   }
251  std::cout << std::endl;
252
253  return 0;
254}
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