1 | // -*- c++ -*- |
---|
2 | |
---|
3 | // Use a DIMACS max flow file as stdin. |
---|
4 | // max_flow_demo < dimacs_max_flow_file |
---|
5 | |
---|
6 | #include <iostream> |
---|
7 | #include <fstream> |
---|
8 | |
---|
9 | #include <lemon/smart_graph.h> |
---|
10 | #include <lemon/list_graph.h> |
---|
11 | #include <lemon/dimacs.h> |
---|
12 | #include <lemon/time_measure.h> |
---|
13 | #include <lemon/preflow.h> |
---|
14 | #include <augmenting_flow.h> |
---|
15 | #include <graph_concept.h> |
---|
16 | |
---|
17 | using namespace lemon; |
---|
18 | |
---|
19 | int main(int, char **) { |
---|
20 | |
---|
21 | typedef ListGraph MutableGraph; |
---|
22 | typedef SmartGraph Graph; |
---|
23 | typedef Graph::Node Node; |
---|
24 | typedef Graph::EdgeIt EdgeIt; |
---|
25 | |
---|
26 | Graph g; |
---|
27 | |
---|
28 | Node s, t; |
---|
29 | Graph::EdgeMap<int> cap(g); |
---|
30 | //readDimacsMaxFlow(std::cin, g, s, t, cap); |
---|
31 | readDimacs(std::cin, g, cap, s, t); |
---|
32 | Timer ts; |
---|
33 | Graph::EdgeMap<int> flow(g); //0 flow |
---|
34 | Preflow<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> > |
---|
35 | max_flow_test(g, s, t, cap, flow); |
---|
36 | AugmentingFlow<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> > |
---|
37 | augmenting_flow_test(g, s, t, cap, flow); |
---|
38 | |
---|
39 | Graph::NodeMap<bool> cut(g); |
---|
40 | |
---|
41 | { |
---|
42 | std::cout << "preflow ..." << std::endl; |
---|
43 | ts.reset(); |
---|
44 | max_flow_test.run(); |
---|
45 | std::cout << "elapsed time: " << ts << std::endl; |
---|
46 | std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl; |
---|
47 | max_flow_test.minCut(cut); |
---|
48 | |
---|
49 | for(Graph::EdgeIt e(g); e!=INVALID; ++e) { |
---|
50 | if (cut[g.tail(e)] && !cut[g.head(e)] && !flow[e]==cap[e]) |
---|
51 | std::cout << "Slackness does not hold!" << std::endl; |
---|
52 | if (!cut[g.tail(e)] && cut[g.head(e)] && flow[e]>0) |
---|
53 | std::cout << "Slackness does not hold!" << std::endl; |
---|
54 | } |
---|
55 | } |
---|
56 | |
---|
57 | { |
---|
58 | std::cout << "preflow ..." << std::endl; |
---|
59 | for(Graph::EdgeIt e(g); e!=INVALID; ++e) flow.set(e, 0); |
---|
60 | ts.reset(); |
---|
61 | max_flow_test.run(Preflow<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> >::GEN_FLOW); |
---|
62 | std::cout << "elapsed time: " << ts << std::endl; |
---|
63 | std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl; |
---|
64 | |
---|
65 | for(Graph::EdgeIt e(g); e!=INVALID; ++e) { |
---|
66 | if (cut[g.tail(e)] && !cut[g.head(e)] && !flow[e]==cap[e]) |
---|
67 | std::cout << "Slackness does not hold!" << std::endl; |
---|
68 | if (!cut[g.tail(e)] && cut[g.head(e)] && flow[e]>0) |
---|
69 | std::cout << "Slackness does not hold!" << std::endl; |
---|
70 | } |
---|
71 | } |
---|
72 | |
---|
73 | // { |
---|
74 | // std::cout << "wrapped preflow ..." << std::endl; |
---|
75 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
76 | // ts.reset(); |
---|
77 | // pre_flow_res.run(); |
---|
78 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
79 | // std::cout << "flow value: "<< pre_flow_test.flowValue() << std::endl; |
---|
80 | // } |
---|
81 | |
---|
82 | { |
---|
83 | std::cout << "physical blocking flow augmentation ..." << std::endl; |
---|
84 | for(Graph::EdgeIt e(g); e!=INVALID; ++e) flow.set(e, 0); |
---|
85 | ts.reset(); |
---|
86 | int i=0; |
---|
87 | while (augmenting_flow_test.augmentOnBlockingFlow<MutableGraph>()) { ++i; } |
---|
88 | std::cout << "elapsed time: " << ts << std::endl; |
---|
89 | std::cout << "number of augmentation phases: " << i << std::endl; |
---|
90 | std::cout << "flow value: "<< augmenting_flow_test.flowValue() << std::endl; |
---|
91 | |
---|
92 | for(Graph::EdgeIt e(g); e!=INVALID; ++e) { |
---|
93 | if (cut[g.tail(e)] && !cut[g.head(e)] && !flow[e]==cap[e]) |
---|
94 | std::cout << "Slackness does not hold!" << std::endl; |
---|
95 | if (!cut[g.tail(e)] && cut[g.head(e)] && flow[e]>0) |
---|
96 | std::cout << "Slackness does not hold!" << std::endl; |
---|
97 | } |
---|
98 | } |
---|
99 | |
---|
100 | { |
---|
101 | std::cout << "on-the-fly blocking flow augmentation ..." << std::endl; |
---|
102 | for(Graph::EdgeIt e(g); e!=INVALID; ++e) flow.set(e, 0); |
---|
103 | ts.reset(); |
---|
104 | int i=0; |
---|
105 | while (augmenting_flow_test.augmentOnBlockingFlow2()) { ++i; } |
---|
106 | std::cout << "elapsed time: " << ts << std::endl; |
---|
107 | std::cout << "number of augmentation phases: " << i << std::endl; |
---|
108 | std::cout << "flow value: "<< augmenting_flow_test.flowValue() << std::endl; |
---|
109 | |
---|
110 | for(Graph::EdgeIt e(g); e!=INVALID; ++e) { |
---|
111 | if (cut[g.tail(e)] && !cut[g.head(e)] && !flow[e]==cap[e]) |
---|
112 | std::cout << "Slackness does not hold!" << std::endl; |
---|
113 | if (!cut[g.tail(e)] && cut[g.head(e)] && flow[e]>0) |
---|
114 | std::cout << "Slackness does not hold!" << std::endl; |
---|
115 | } |
---|
116 | } |
---|
117 | |
---|
118 | { |
---|
119 | std::cout << "on-the-fly shortest path augmentation ..." << std::endl; |
---|
120 | for(Graph::EdgeIt e(g); e!=INVALID; ++e) flow.set(e, 0); |
---|
121 | ts.reset(); |
---|
122 | int i=0; |
---|
123 | while (augmenting_flow_test.augmentOnShortestPath()) { ++i; } |
---|
124 | std::cout << "elapsed time: " << ts << std::endl; |
---|
125 | std::cout << "number of augmentation phases: " << i << std::endl; |
---|
126 | std::cout << "flow value: "<< augmenting_flow_test.flowValue() << std::endl; |
---|
127 | |
---|
128 | for(Graph::EdgeIt e(g); e!=INVALID; ++e) { |
---|
129 | if (cut[g.tail(e)] && !cut[g.head(e)] && !flow[e]==cap[e]) |
---|
130 | std::cout << "Slackness does not hold!" << std::endl; |
---|
131 | if (!cut[g.tail(e)] && cut[g.head(e)] && flow[e]>0) |
---|
132 | std::cout << "Slackness does not hold!" << std::endl; |
---|
133 | } |
---|
134 | } |
---|
135 | |
---|
136 | { |
---|
137 | std::cout << "on-the-fly shortest path augmentation ..." << std::endl; |
---|
138 | for(Graph::EdgeIt e(g); e!=INVALID; ++e) flow.set(e, 0); |
---|
139 | ts.reset(); |
---|
140 | int i=0; |
---|
141 | while (augmenting_flow_test.augmentOnShortestPath2()) { ++i; } |
---|
142 | std::cout << "elapsed time: " << ts << std::endl; |
---|
143 | std::cout << "number of augmentation phases: " << i << std::endl; |
---|
144 | std::cout << "flow value: "<< augmenting_flow_test.flowValue() << std::endl; |
---|
145 | |
---|
146 | for(Graph::EdgeIt e(g); e!=INVALID; ++e) { |
---|
147 | if (cut[g.tail(e)] && !cut[g.head(e)] && !flow[e]==cap[e]) |
---|
148 | std::cout << "Slackness does not hold!" << std::endl; |
---|
149 | if (!cut[g.tail(e)] && cut[g.head(e)] && flow[e]>0) |
---|
150 | std::cout << "Slackness does not hold!" << std::endl; |
---|
151 | } |
---|
152 | } |
---|
153 | |
---|
154 | return 0; |
---|
155 | } |
---|