1 | /* -*- mode: C++; indent-tabs-mode: nil; -*- |
---|
2 | * |
---|
3 | * This file is a part of LEMON, a generic C++ optimization library. |
---|
4 | * |
---|
5 | * Copyright (C) 2003-2011 |
---|
6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
---|
7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
---|
8 | * |
---|
9 | * Permission to use, modify and distribute this software is granted |
---|
10 | * provided that this copyright notice appears in all copies. For |
---|
11 | * precise terms see the accompanying LICENSE file. |
---|
12 | * |
---|
13 | * This software is provided "AS IS" with no warranty of any kind, |
---|
14 | * express or implied, and with no claim as to its suitability for any |
---|
15 | * purpose. |
---|
16 | * |
---|
17 | */ |
---|
18 | |
---|
19 | #include <iostream> |
---|
20 | #include <set> |
---|
21 | #include <vector> |
---|
22 | #include <iterator> |
---|
23 | |
---|
24 | #include <lemon/smart_graph.h> |
---|
25 | #include <lemon/min_cost_arborescence.h> |
---|
26 | #include <lemon/lgf_reader.h> |
---|
27 | #include <lemon/concepts/digraph.h> |
---|
28 | |
---|
29 | #include "test_tools.h" |
---|
30 | |
---|
31 | using namespace lemon; |
---|
32 | using namespace std; |
---|
33 | |
---|
34 | const char test_lgf[] = |
---|
35 | "@nodes\n" |
---|
36 | "label\n" |
---|
37 | "0\n" |
---|
38 | "1\n" |
---|
39 | "2\n" |
---|
40 | "3\n" |
---|
41 | "4\n" |
---|
42 | "5\n" |
---|
43 | "6\n" |
---|
44 | "7\n" |
---|
45 | "8\n" |
---|
46 | "9\n" |
---|
47 | "@arcs\n" |
---|
48 | " label cost\n" |
---|
49 | "1 8 0 107\n" |
---|
50 | "0 3 1 70\n" |
---|
51 | "2 1 2 46\n" |
---|
52 | "4 1 3 28\n" |
---|
53 | "4 4 4 91\n" |
---|
54 | "3 9 5 76\n" |
---|
55 | "9 8 6 61\n" |
---|
56 | "8 1 7 39\n" |
---|
57 | "9 8 8 74\n" |
---|
58 | "8 0 9 39\n" |
---|
59 | "4 3 10 45\n" |
---|
60 | "2 2 11 34\n" |
---|
61 | "0 1 12 100\n" |
---|
62 | "6 3 13 95\n" |
---|
63 | "4 1 14 22\n" |
---|
64 | "1 1 15 31\n" |
---|
65 | "7 2 16 51\n" |
---|
66 | "2 6 17 29\n" |
---|
67 | "8 3 18 115\n" |
---|
68 | "6 9 19 32\n" |
---|
69 | "1 1 20 60\n" |
---|
70 | "0 3 21 40\n" |
---|
71 | "@attributes\n" |
---|
72 | "source 0\n"; |
---|
73 | |
---|
74 | |
---|
75 | void checkMinCostArborescenceCompile() |
---|
76 | { |
---|
77 | typedef double VType; |
---|
78 | typedef concepts::Digraph Digraph; |
---|
79 | typedef concepts::ReadMap<Digraph::Arc, VType> CostMap; |
---|
80 | typedef Digraph::Node Node; |
---|
81 | typedef Digraph::Arc Arc; |
---|
82 | typedef concepts::WriteMap<Digraph::Arc, bool> ArbMap; |
---|
83 | typedef concepts::ReadWriteMap<Digraph::Node, Digraph::Arc> PredMap; |
---|
84 | |
---|
85 | typedef MinCostArborescence<Digraph, CostMap>:: |
---|
86 | SetArborescenceMap<ArbMap>:: |
---|
87 | SetPredMap<PredMap>::Create MinCostArbType; |
---|
88 | |
---|
89 | Digraph g; |
---|
90 | Node s, n; |
---|
91 | Arc e; |
---|
92 | VType c; |
---|
93 | bool b; |
---|
94 | int i; |
---|
95 | CostMap cost; |
---|
96 | ArbMap arb; |
---|
97 | PredMap pred; |
---|
98 | |
---|
99 | MinCostArbType mcarb_test(g, cost); |
---|
100 | const MinCostArbType& const_mcarb_test = mcarb_test; |
---|
101 | |
---|
102 | mcarb_test |
---|
103 | .arborescenceMap(arb) |
---|
104 | .predMap(pred) |
---|
105 | .run(s); |
---|
106 | |
---|
107 | mcarb_test.init(); |
---|
108 | mcarb_test.addSource(s); |
---|
109 | mcarb_test.start(); |
---|
110 | n = mcarb_test.processNextNode(); |
---|
111 | b = const_mcarb_test.emptyQueue(); |
---|
112 | i = const_mcarb_test.queueSize(); |
---|
113 | |
---|
114 | c = const_mcarb_test.arborescenceCost(); |
---|
115 | b = const_mcarb_test.arborescence(e); |
---|
116 | e = const_mcarb_test.pred(n); |
---|
117 | const MinCostArbType::ArborescenceMap &am = |
---|
118 | const_mcarb_test.arborescenceMap(); |
---|
119 | const MinCostArbType::PredMap &pm = |
---|
120 | const_mcarb_test.predMap(); |
---|
121 | b = const_mcarb_test.reached(n); |
---|
122 | b = const_mcarb_test.processed(n); |
---|
123 | |
---|
124 | i = const_mcarb_test.dualNum(); |
---|
125 | c = const_mcarb_test.dualValue(); |
---|
126 | i = const_mcarb_test.dualSize(i); |
---|
127 | c = const_mcarb_test.dualValue(i); |
---|
128 | |
---|
129 | ignore_unused_variable_warning(am); |
---|
130 | ignore_unused_variable_warning(pm); |
---|
131 | } |
---|
132 | |
---|
133 | int main() { |
---|
134 | typedef SmartDigraph Digraph; |
---|
135 | DIGRAPH_TYPEDEFS(Digraph); |
---|
136 | |
---|
137 | typedef Digraph::ArcMap<double> CostMap; |
---|
138 | |
---|
139 | Digraph digraph; |
---|
140 | CostMap cost(digraph); |
---|
141 | Node source; |
---|
142 | |
---|
143 | std::istringstream is(test_lgf); |
---|
144 | digraphReader(digraph, is). |
---|
145 | arcMap("cost", cost). |
---|
146 | node("source", source).run(); |
---|
147 | |
---|
148 | MinCostArborescence<Digraph, CostMap> mca(digraph, cost); |
---|
149 | mca.run(source); |
---|
150 | |
---|
151 | vector<pair<double, set<Node> > > dualSolution(mca.dualNum()); |
---|
152 | |
---|
153 | for (int i = 0; i < mca.dualNum(); ++i) { |
---|
154 | dualSolution[i].first = mca.dualValue(i); |
---|
155 | for (MinCostArborescence<Digraph, CostMap>::DualIt it(mca, i); |
---|
156 | it != INVALID; ++it) { |
---|
157 | dualSolution[i].second.insert(it); |
---|
158 | } |
---|
159 | } |
---|
160 | |
---|
161 | for (ArcIt it(digraph); it != INVALID; ++it) { |
---|
162 | if (mca.reached(digraph.source(it))) { |
---|
163 | double sum = 0.0; |
---|
164 | for (int i = 0; i < int(dualSolution.size()); ++i) { |
---|
165 | if (dualSolution[i].second.find(digraph.target(it)) |
---|
166 | != dualSolution[i].second.end() && |
---|
167 | dualSolution[i].second.find(digraph.source(it)) |
---|
168 | == dualSolution[i].second.end()) { |
---|
169 | sum += dualSolution[i].first; |
---|
170 | } |
---|
171 | } |
---|
172 | if (mca.arborescence(it)) { |
---|
173 | check(sum == cost[it], "Invalid dual solution"); |
---|
174 | } |
---|
175 | check(sum <= cost[it], "Invalid dual solution"); |
---|
176 | } |
---|
177 | } |
---|
178 | |
---|
179 | |
---|
180 | check(mca.dualValue() == mca.arborescenceCost(), "Invalid dual solution"); |
---|
181 | |
---|
182 | check(mca.reached(source), "Invalid arborescence"); |
---|
183 | for (ArcIt a(digraph); a != INVALID; ++a) { |
---|
184 | check(!mca.reached(digraph.source(a)) || |
---|
185 | mca.reached(digraph.target(a)), "Invalid arborescence"); |
---|
186 | } |
---|
187 | |
---|
188 | for (NodeIt n(digraph); n != INVALID; ++n) { |
---|
189 | if (!mca.reached(n)) continue; |
---|
190 | int cnt = 0; |
---|
191 | for (InArcIt a(digraph, n); a != INVALID; ++a) { |
---|
192 | if (mca.arborescence(a)) { |
---|
193 | check(mca.pred(n) == a, "Invalid arborescence"); |
---|
194 | ++cnt; |
---|
195 | } |
---|
196 | } |
---|
197 | check((n == source ? cnt == 0 : cnt == 1), "Invalid arborescence"); |
---|
198 | } |
---|
199 | |
---|
200 | Digraph::ArcMap<bool> arborescence(digraph); |
---|
201 | check(mca.arborescenceCost() == |
---|
202 | minCostArborescence(digraph, cost, source, arborescence), |
---|
203 | "Wrong result of the function interface"); |
---|
204 | |
---|
205 | return 0; |
---|
206 | } |
---|