1 | // -*- c++ -*- |
---|
2 | #include <iostream> |
---|
3 | #include <fstream> |
---|
4 | |
---|
5 | #include <sage_graph.h> |
---|
6 | #include <lemon/smart_graph.h> |
---|
7 | #include <lemon/dimacs.h> |
---|
8 | //#include <lemon/time_measure.h> |
---|
9 | //#include <graph_wrapper.h> |
---|
10 | #include <lemon/max_flow.h> |
---|
11 | //#include <preflow_res.h> |
---|
12 | #include <for_each_macros.h> |
---|
13 | #include <graph_concept.h> |
---|
14 | |
---|
15 | using std::cout; |
---|
16 | using std::endl; |
---|
17 | |
---|
18 | using namespace lemon; |
---|
19 | |
---|
20 | // Use a DIMACS min cost flow file as stdin. |
---|
21 | // read_dimacs_demo < dimacs_max_flow_file |
---|
22 | |
---|
23 | int main(int, char **) { |
---|
24 | |
---|
25 | //typedef SageGraph MutableGraph; |
---|
26 | //typedef FullFeatureGraphConcept Graph; |
---|
27 | //typedef SmartGraph Graph; |
---|
28 | typedef SageGraph Graph; |
---|
29 | typedef Graph::Node Node; |
---|
30 | typedef Graph::EdgeIt EdgeIt; |
---|
31 | |
---|
32 | Graph g; |
---|
33 | |
---|
34 | Node s, t; |
---|
35 | Graph::EdgeMap<int> cap(g); |
---|
36 | Graph::EdgeMap<int> flow(g); //0 flow |
---|
37 | //readDimacs(std::cin, g, cap, s, t); |
---|
38 | readDimacs(std::cin, g, cap, s, t, flow); |
---|
39 | // Timer ts; |
---|
40 | MaxFlow<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> > |
---|
41 | max_flow_test(g, s, t, cap, flow); |
---|
42 | |
---|
43 | Graph::NodeMap<bool> cut(g); |
---|
44 | |
---|
45 | { |
---|
46 | Graph::EdgeIt e; |
---|
47 | for (g.first(e); g.valid(e); g.next(e)) |
---|
48 | cout << 1+g.id(g.tail(e)) << "->" << 1+g.id(g.head(e)) << " cap: " << cap[e] << " preflow: " << flow[e] << endl; |
---|
49 | } |
---|
50 | { |
---|
51 | Graph::NodeIt n; |
---|
52 | for (g.first(n); g.valid(n); g.next(n)) { |
---|
53 | int a=0; |
---|
54 | { |
---|
55 | Graph::InEdgeIt e; |
---|
56 | for (g.first(e, n); g.valid(e); g.next(e)) a+=flow[e]; |
---|
57 | } |
---|
58 | { |
---|
59 | Graph::OutEdgeIt e; |
---|
60 | for (g.first(e, n); g.valid(e); g.next(e)) a-=flow[e]; |
---|
61 | } |
---|
62 | cout << 1+g.id(n) << " excess: " << a << endl; |
---|
63 | } |
---|
64 | } |
---|
65 | |
---|
66 | |
---|
67 | { |
---|
68 | // std::cout << "preflow ..." << std::endl; |
---|
69 | // ts.reset(); |
---|
70 | max_flow_test.preflowPhase1(MaxFlow<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> >::PRE_FLOW); |
---|
71 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
72 | std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl; |
---|
73 | std::cout << "flow value 2: "<< max_flow_test.flowValue2() << std::endl; |
---|
74 | max_flow_test.actMinCut(cut); |
---|
75 | |
---|
76 | Graph::EdgeIt e; |
---|
77 | for (g.first(e); g.valid(e); g.next(e)) { |
---|
78 | if (cut[g.tail(e)] && !cut[g.head(e)]) { |
---|
79 | cout << 1+g.id(g.tail(e)) << "->" << 1+g.id(g.head(e)) |
---|
80 | << "(forward edge) flow: " << flow[e] |
---|
81 | << " cap: " << cap[e]<< endl; |
---|
82 | if (flow[e]!=cap[e]) |
---|
83 | std::cout << "Slackness does not hold!" << std::endl; |
---|
84 | } |
---|
85 | if (!cut[g.tail(e)] && cut[g.head(e)]) { |
---|
86 | cout << 1+g.id(g.tail(e)) << "->" << 1+g.id(g.head(e)) |
---|
87 | << "(backward edge) flow: " << flow[e] << endl; |
---|
88 | if (flow[e]!=0) |
---|
89 | std::cout << "Slackness does not hold!" << std::endl; |
---|
90 | } |
---|
91 | } |
---|
92 | Graph::NodeIt n; |
---|
93 | for (g.first(n); g.valid(n); g.next(n)) { |
---|
94 | if (cut[n]) |
---|
95 | cout << "in cut: " << 1+g.id(n) << endl; |
---|
96 | } |
---|
97 | } |
---|
98 | |
---|
99 | // { |
---|
100 | // std::cout << "preflow ..." << std::endl; |
---|
101 | // ts.reset(); |
---|
102 | // max_flow_test.run(); |
---|
103 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
104 | // std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl; |
---|
105 | // max_flow_test.actMinCut(cut); |
---|
106 | |
---|
107 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) { |
---|
108 | // if (cut[g.tail(e)] && !cut[g.head(e)] && !flow[e]==cap[e]) |
---|
109 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
110 | // if (!cut[g.tail(e)] && cut[g.head(e)] && flow[e]>0) |
---|
111 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
112 | // } |
---|
113 | // } |
---|
114 | |
---|
115 | // { |
---|
116 | // std::cout << "preflow ..." << std::endl; |
---|
117 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
118 | // ts.reset(); |
---|
119 | // max_flow_test.preflow(MaxFlow<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> >::GEN_FLOW); |
---|
120 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
121 | // std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl; |
---|
122 | |
---|
123 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) { |
---|
124 | // if (cut[g.tail(e)] && !cut[g.head(e)] && !flow[e]==cap[e]) |
---|
125 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
126 | // if (!cut[g.tail(e)] && cut[g.head(e)] && flow[e]>0) |
---|
127 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
128 | // } |
---|
129 | // } |
---|
130 | |
---|
131 | // // { |
---|
132 | // // std::cout << "wrapped preflow ..." << std::endl; |
---|
133 | // // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
134 | // // ts.reset(); |
---|
135 | // // pre_flow_res.run(); |
---|
136 | // // std::cout << "elapsed time: " << ts << std::endl; |
---|
137 | // // std::cout << "flow value: "<< pre_flow_test.flowValue() << std::endl; |
---|
138 | // // } |
---|
139 | |
---|
140 | // { |
---|
141 | // std::cout << "physical blocking flow augmentation ..." << std::endl; |
---|
142 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
143 | // ts.reset(); |
---|
144 | // int i=0; |
---|
145 | // while (augmenting_flow_test.augmentOnBlockingFlow<MutableGraph>()) { ++i; } |
---|
146 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
147 | // std::cout << "number of augmentation phases: " << i << std::endl; |
---|
148 | // std::cout << "flow value: "<< augmenting_flow_test.flowValue() << std::endl; |
---|
149 | |
---|
150 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) { |
---|
151 | // if (cut[g.tail(e)] && !cut[g.head(e)] && !flow[e]==cap[e]) |
---|
152 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
153 | // if (!cut[g.tail(e)] && cut[g.head(e)] && flow[e]>0) |
---|
154 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
155 | // } |
---|
156 | // } |
---|
157 | |
---|
158 | // // { |
---|
159 | // // std::cout << "faster physical blocking flow augmentation ..." << std::endl; |
---|
160 | // // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
161 | // // ts.reset(); |
---|
162 | // // int i=0; |
---|
163 | // // while (max_flow_test.augmentOnBlockingFlow1<MutableGraph>()) { ++i; } |
---|
164 | // // std::cout << "elapsed time: " << ts << std::endl; |
---|
165 | // // std::cout << "number of augmentation phases: " << i << std::endl; |
---|
166 | // // std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl; |
---|
167 | // // } |
---|
168 | |
---|
169 | // { |
---|
170 | // std::cout << "on-the-fly blocking flow augmentation ..." << std::endl; |
---|
171 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
172 | // ts.reset(); |
---|
173 | // int i=0; |
---|
174 | // while (augmenting_flow_test.augmentOnBlockingFlow2()) { ++i; } |
---|
175 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
176 | // std::cout << "number of augmentation phases: " << i << std::endl; |
---|
177 | // std::cout << "flow value: "<< augmenting_flow_test.flowValue() << std::endl; |
---|
178 | |
---|
179 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) { |
---|
180 | // if (cut[g.tail(e)] && !cut[g.head(e)] && !flow[e]==cap[e]) |
---|
181 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
182 | // if (!cut[g.tail(e)] && cut[g.head(e)] && flow[e]>0) |
---|
183 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
184 | // } |
---|
185 | // } |
---|
186 | |
---|
187 | // { |
---|
188 | // std::cout << "on-the-fly shortest path augmentation ..." << std::endl; |
---|
189 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
190 | // ts.reset(); |
---|
191 | // int i=0; |
---|
192 | // while (augmenting_flow_test.augmentOnShortestPath()) { ++i; } |
---|
193 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
194 | // std::cout << "number of augmentation phases: " << i << std::endl; |
---|
195 | // std::cout << "flow value: "<< augmenting_flow_test.flowValue() << std::endl; |
---|
196 | |
---|
197 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) { |
---|
198 | // if (cut[g.tail(e)] && !cut[g.head(e)] && !flow[e]==cap[e]) |
---|
199 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
200 | // if (!cut[g.tail(e)] && cut[g.head(e)] && flow[e]>0) |
---|
201 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
202 | // } |
---|
203 | // } |
---|
204 | |
---|
205 | // { |
---|
206 | // std::cout << "on-the-fly shortest path augmentation ..." << std::endl; |
---|
207 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
208 | // ts.reset(); |
---|
209 | // int i=0; |
---|
210 | // while (augmenting_flow_test.augmentOnShortestPath2()) { ++i; } |
---|
211 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
212 | // std::cout << "number of augmentation phases: " << i << std::endl; |
---|
213 | // std::cout << "flow value: "<< augmenting_flow_test.flowValue() << std::endl; |
---|
214 | |
---|
215 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) { |
---|
216 | // if (cut[g.tail(e)] && !cut[g.head(e)] && !flow[e]==cap[e]) |
---|
217 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
218 | // if (!cut[g.tail(e)] && cut[g.head(e)] && flow[e]>0) |
---|
219 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
220 | // } |
---|
221 | // } |
---|
222 | |
---|
223 | return 0; |
---|
224 | } |
---|