COIN-OR::LEMON - Graph Library

source: lemon-0.x/src/work/marci/oldies/marci_graph_demo.cc @ 474:229a16b5fd0f

Last change on this file since 474:229a16b5fd0f was 280:19f3943521ab, checked in by marci, 20 years ago

takaritas

File size: 9.7 KB
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[280]1#include <iostream>
2#include <vector>
3#include <string>
4
5#include <list_graph.h>
6#include <bfs_iterator.h>
7#include <edmonds_karp.h>
8
9using namespace hugo;
10
11int main (int, char*[])
12{
13  typedef ListGraph::Node Node;
14  typedef ListGraph::Edge Edge;
15  typedef ListGraph::NodeIt NodeIt;
16  typedef ListGraph::EdgeIt EdgeIt;
17  typedef ListGraph::OutEdgeIt OutEdgeIt;
18  typedef ListGraph::InEdgeIt InEdgeIt;
19  typedef ListGraph::SymEdgeIt SymEdgeIt;
20  ListGraph G;
21  std::vector<Node> vector_of_Nodes;
22  for(int i=0; i!=8; ++i) vector_of_Nodes.push_back(G.addNode());
23  for(int i=0; i!=8; ++i)
24    for(int j=0; j!=8; ++j)
25      if ((i<j)&&(i+j)%3) G.addEdge(vector_of_Nodes[i], vector_of_Nodes[j]);
26
27  std::cout << "We construct a directed graph on the node set {0,1,2,...,7}," <<std::endl << "i-->j is arc iff i<j and (i+j)%3." << std::endl;
28  std::cout << "number of nodes: " << count(G.first<NodeIt>()) << std::endl;
29
30  for(NodeIt i=G.first<NodeIt>(); G.valid(i); G.next(i)) {
31    std::cout << "node " << G.id(i) << std::endl;
32    std::cout << " outdegree (OutEdgeIt): " << count(G.first<OutEdgeIt>(i)) << " ";
33    for(OutEdgeIt j=G.first<OutEdgeIt>(i); G.valid(j); G.next(j)) {
34      std::cout << "(" << G.id(G.tail(j)) << "--" << G.id(j) << "->" << G.id(G.head(j)) << ") ";
35    }
36    std::cout << std::endl;
37
38    std::cout<< " ";
39    for(OutEdgeIt j=G.first<OutEdgeIt>(i); G.valid(j); G.next(j)) {
40      std::cout << G.aNode(j) << "->" << G.bNode(j) << " "; }
41    std::cout<<std::endl;
42
43    std::cout << " indegree: (InEdgeIt) " << count(G.first<InEdgeIt>(i)) << " ";
44    for(InEdgeIt j=G.first<InEdgeIt>(i); G.valid(j); G.next(j)) {
45      std::cout << j << " "; }
46    std::cout << std::endl;
47
48    std::cout<< " ";
49    for(InEdgeIt j=G.first<InEdgeIt>(i); G.valid(j); G.next(j)) {
50      std::cout << G.aNode(j) << "->" << G.bNode(j) << " "; }
51    std::cout<<std::endl;
52
53    std::cout << " degree: (SymEdgeIt) " << count(G.first<SymEdgeIt>(i)) << " ";
54    for(SymEdgeIt j=G.first<SymEdgeIt>(i); G.valid(j); G.next(j)) {
55      std::cout << j << " "; }
56    std::cout<<std::endl;
57
58    std::cout<< " ";
59    for(SymEdgeIt j=G.first<SymEdgeIt>(i); G.valid(j); G.next(j)) {
60      std::cout << G.aNode(j) << "->" << G.bNode(j) << " "; }
61    std::cout<<std::endl;
62  }
63
64  std::cout << "all edges: ";
65  for(EdgeIt i=G.first<EdgeIt>(); G.valid(i); G.next(i)) {
66    std::cout << i << " ";
67  }
68  std::cout << std::endl;
69
70  std::cout << "node property array test" << std::endl;
71  ListGraph::NodeMap<int> my_property_vector(G);
72  NodeIt v;
73  G.first(v);
74  my_property_vector.set(v, 42);
75  my_property_vector.set(G.next(G.first<NodeIt>()), 314);
76  my_property_vector.set(G.next(G.next(G.first<NodeIt>())), 1956);
77  my_property_vector.set(vector_of_Nodes[3], 1989);
78  my_property_vector.set(vector_of_Nodes[4], 2003);
79  my_property_vector.set(vector_of_Nodes[7], 1978);
80  std::cout << "some node property values..." << std::endl;
81  for(NodeIt i=G.first<NodeIt>(); G.valid(i); G.next(i)) {
82    std::cout << my_property_vector.get(i) << std::endl;
83  }
84  int _i=1;
85  int _ii=1;
86  ListGraph::EdgeMap<int> my_edge_property(G);
87  for(EdgeIt i=G.first<EdgeIt>(); G.valid(i); G.next(i)) {
88    my_edge_property.set(i, _i);
89    _i*=_ii; ++_ii;
90  }
91
92  std::cout << "node and edge property values on the tails and heads of edges..." << std::endl;
93  for(EdgeIt j=G.first<EdgeIt>(); G.valid(j); G.next(j)) {
94    std::cout << my_property_vector.get(G.tail(j)) << "--" << my_edge_property.get(j) << "-->" << my_property_vector.get(G.head(j)) << " ";
95  }
96  std::cout << std::endl;
97/*
98  std::cout << "bfs from the first node" << std::endl;
99  bfs<ListGraph> bfs_test(G, G.first<NodeIt>());
100  bfs_test.run();
101  std::cout << "reached: ";
102  for(NodeIt i=G.first<NodeIt>(); G.valid(i); G.next(i)) {
103    std::cout << bfs_test.reached.get(i) << " ";
104  }
105  std::cout<<std::endl;
106  std::cout << "dist: ";
107  for(NodeIt i=G.first<NodeIt>(); G.valid(i); G.next(i)) {
108    std::cout << bfs_test.dist.get(i) << " ";
109  }
110  std::cout<<std::endl;
111*/
112
113  std::cout << "augmenting path flow algorithm test..." << std::endl;
114  ListGraph flowG;
115
116  Node s=flowG.addNode();
117  Node v1=flowG.addNode();
118  Node v2=flowG.addNode();
119  Node v3=flowG.addNode();
120  Node v4=flowG.addNode();
121  Node t=flowG.addNode();
122 
123  ListGraph::NodeMap<std::string> node_name(flowG);
124  node_name.set(s, "s");
125  node_name.set(v1, "v1");
126  node_name.set(v2, "v2");
127  node_name.set(v3, "v3");
128  node_name.set(v4, "v4");
129  node_name.set(t, "t");
130
131  Edge s_v1=flowG.addEdge(s, v1);
132  Edge s_v2=flowG.addEdge(s, v2);
133  Edge v1_v2=flowG.addEdge(v1, v2);
134  Edge v2_v1=flowG.addEdge(v2, v1);
135  Edge v1_v3=flowG.addEdge(v1, v3);
136  Edge v3_v2=flowG.addEdge(v3, v2);
137  Edge v2_v4=flowG.addEdge(v2, v4);
138  Edge v4_v3=flowG.addEdge(v4, v3);
139  Edge v3_t=flowG.addEdge(v3, t);
140  Edge v4_t=flowG.addEdge(v4, t);
141
142  ListGraph::EdgeMap<int> cap(flowG);
143
144  cap.set(s_v1, 16);
145  cap.set(s_v2, 13);
146  cap.set(v1_v2, 10);
147  cap.set(v2_v1, 4);
148  cap.set(v1_v3, 12);
149  cap.set(v3_v2, 9);
150  cap.set(v2_v4, 14);
151  cap.set(v4_v3, 7);
152  cap.set(v3_t, 20);
153  cap.set(v4_t, 4);
154
155  std::cout << "on directed graph graph" << std::endl; //<< flowG;
156  std::cout << "names and capacity values" << std::endl;
157  for(NodeIt i=flowG.first<NodeIt>(); flowG.valid(i); flowG.next(i)) {
158    std::cout << node_name.get(i) << ": ";
159    std::cout << "out edges: ";
160    for(OutEdgeIt j=flowG.first<OutEdgeIt>(i); flowG.valid(j); flowG.next(j))
161      std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
162    std::cout << "in edges: ";
163    for(InEdgeIt j=flowG.first<InEdgeIt>(i); flowG.valid(j); flowG.next(j))
164      std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
165    std::cout << std::endl;
166  }
167
168  //flowG.deleteEdge(s_v1);
169  //flowG.deleteEdge(s_v2);
170  //flowG.deleteEdge(v1_v2);
171  //flowG.deleteEdge(v1_v3);
172 
173
174  //flowG.setTail(v3_t, v2);
175  //flowG.setHead(v3_t, s);
176/*
177  for(NodeIt i=flowG.first<NodeIt>(); flowG.valid(i); flowG.next(i)) {
178    std::cout << node_name.get(i) << ": ";
179    std::cout << "out edges: ";
180    for(OutEdgeIt j=flowG.first<OutEdgeIt>(i); flowG.valid(j); flowG.next(j))
181      std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
182    std::cout << "in edges: ";
183    for(InEdgeIt j=flowG.first<InEdgeIt>(i); flowG.valid(j); flowG.next(j))
184      std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
185    std::cout << std::endl;
186  }
187 
188  for(EdgeIt e=flowG.first<EdgeIt>(); flowG.valid(e); flowG.next(e)) {
189    std::cout << node_name.get(flowG.tail(e)) << "-"<< cap.get(e) << "->" << node_name.get(flowG.head(e)) << " ";
190  }
191*/
192  /*
193  while (flowG.valid(flowG.first<EdgeIt>())) {
194    flowG.deleteEdge(flowG.first<EdgeIt>());
195    for(NodeIt i=flowG.first<NodeIt>(); flowG.valid(i); flowG.next(i)) {
196      std::cout << node_name.get(i) << ": ";
197      std::cout << "out edges: ";
198      for(OutEdgeIt j=flowG.first<OutEdgeIt>(i); flowG.valid(j); flowG.next(j))
199        std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
200      std::cout << "in edges: ";
201      for(InEdgeIt j=flowG.first<InEdgeIt>(i); flowG.valid(j); flowG.next(j))
202        std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
203      std::cout << std::endl;
204    }
205  }
206 
207  while (flowG.valid(flowG.first<NodeIt>())) {
208    flowG.deleteNode(flowG.first<NodeIt>());
209    for(NodeIt i=flowG.first<NodeIt>(); flowG.valid(i); flowG.next(i)) {
210      std::cout << node_name.get(i) << ": ";
211      std::cout << "out edges: ";
212      for(OutEdgeIt j=flowG.first<OutEdgeIt>(i); flowG.valid(j); flowG.next(j))
213        std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
214      std::cout << "in edges: ";
215      for(InEdgeIt j=flowG.first<InEdgeIt>(i); flowG.valid(j); flowG.next(j))
216        std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
217      std::cout << std::endl;
218    }
219  }
220  */
221
222  //std::cout << std::endl;
223
224
225  {
226    ListGraph::EdgeMap<int> flow(flowG, 0);
227    MaxFlow<ListGraph, int, ListGraph::EdgeMap<int>, ListGraph::EdgeMap<int> > max_flow_test(flowG, s, t, flow, cap);
228    /*
229    max_flow_test.augmentOnBlockingFlow<ListGraph>();
230    for(EdgeIt e=flowG.template first<EdgeIt>(); flowG.valid(e); flowG.next(e)) {
231      std::cout<<"("<<flowG.tail(e)<< "-"<<flow.get(e)<<"->"<<flowG.head(e)<<") ";
232    }
233    std::cout<<std::endl;
234    max_flow_test.augmentOnBlockingFlow<ListGraph>();
235    for(EdgeIt e=flowG.template first<EdgeIt>(); flowG.valid(e); flowG.next(e)) {
236      std::cout<<"("<<flowG.tail(e)<< "-"<<flow.get(e)<<"->"<<flowG.head(e)<<") ";
237    }
238    std::cout<<std::endl;*/
239    //max_flow_test.run();
240   
241    //std::cout << "maximum flow: "<< std::endl;
242    while (max_flow_test.augmentOnShortestPath()) {
243      for(EdgeIt e=flowG.template first<EdgeIt>(); flowG.valid(e); flowG.next(e)) {
244        std::cout<<"("<<flowG.tail(e)<< "-"<<flow.get(e)<<"->"<<flowG.head(e)<<") ";
245      }
246      std::cout<<std::endl;
247    }
248    std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl;
249  }
250/*
251  {
252    std::list<Node> S;
253    S.push_back(s); S.push_back(v3);
254    std::list<Node> T;
255    T.push_back(t);
256
257    ListGraph::EdgeMap<int> flow(flowG, 0);
258    MaxFlow2<ListGraph, int, ListGraph::EdgeMap<int>, ListGraph::EdgeMap<int> > max_flow_test(flowG, S, T, flow, cap);
259    max_flow_test.run();
260   
261    std::cout << "maximum flow: "<< std::endl;
262    for(EdgeIt e=flowG.template first<EdgeIt>(); flowG.valid(e); flowG.next(e)) {
263      std::cout<<"("<<flowG.tail(e)<< "-"<<flow.get(e)<<"->"<<flowG.head(e)<<") ";
264    }
265    std::cout<<std::endl;
266    std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl;
267  }
268*/
269  return 0;
270}
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