[490] | 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) 2003-2008 |
---|
| 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 | |
---|
| 28 | #include "test_tools.h" |
---|
| 29 | |
---|
| 30 | using namespace lemon; |
---|
| 31 | using namespace std; |
---|
| 32 | |
---|
| 33 | const char test_lgf[] = |
---|
| 34 | "@nodes\n" |
---|
| 35 | "label\n" |
---|
| 36 | "0\n" |
---|
| 37 | "1\n" |
---|
| 38 | "2\n" |
---|
| 39 | "3\n" |
---|
| 40 | "4\n" |
---|
| 41 | "5\n" |
---|
| 42 | "6\n" |
---|
| 43 | "7\n" |
---|
| 44 | "8\n" |
---|
| 45 | "9\n" |
---|
| 46 | "@arcs\n" |
---|
| 47 | " label cost\n" |
---|
| 48 | "1 8 0 107\n" |
---|
| 49 | "0 3 1 70\n" |
---|
| 50 | "2 1 2 46\n" |
---|
| 51 | "4 1 3 28\n" |
---|
| 52 | "4 4 4 91\n" |
---|
| 53 | "3 9 5 76\n" |
---|
| 54 | "9 8 6 61\n" |
---|
| 55 | "8 1 7 39\n" |
---|
| 56 | "9 8 8 74\n" |
---|
| 57 | "8 0 9 39\n" |
---|
| 58 | "4 3 10 45\n" |
---|
| 59 | "2 2 11 34\n" |
---|
| 60 | "0 1 12 100\n" |
---|
| 61 | "6 3 13 95\n" |
---|
| 62 | "4 1 14 22\n" |
---|
| 63 | "1 1 15 31\n" |
---|
| 64 | "7 2 16 51\n" |
---|
| 65 | "2 6 17 29\n" |
---|
| 66 | "8 3 18 115\n" |
---|
| 67 | "6 9 19 32\n" |
---|
| 68 | "1 1 20 60\n" |
---|
| 69 | "0 3 21 40\n" |
---|
| 70 | "@attributes\n" |
---|
| 71 | "source 0\n"; |
---|
| 72 | |
---|
| 73 | int main() { |
---|
| 74 | typedef SmartDigraph Digraph; |
---|
| 75 | DIGRAPH_TYPEDEFS(Digraph); |
---|
| 76 | |
---|
| 77 | typedef Digraph::ArcMap<double> CostMap; |
---|
| 78 | |
---|
| 79 | Digraph digraph; |
---|
| 80 | CostMap cost(digraph); |
---|
| 81 | Node source; |
---|
| 82 | |
---|
| 83 | std::istringstream is(test_lgf); |
---|
| 84 | digraphReader(digraph, is). |
---|
| 85 | arcMap("cost", cost). |
---|
| 86 | node("source", source).run(); |
---|
| 87 | |
---|
| 88 | MinCostArborescence<Digraph, CostMap> mca(digraph, cost); |
---|
| 89 | mca.run(source); |
---|
| 90 | |
---|
| 91 | vector<pair<double, set<Node> > > dualSolution(mca.dualNum()); |
---|
| 92 | |
---|
| 93 | for (int i = 0; i < mca.dualNum(); ++i) { |
---|
| 94 | dualSolution[i].first = mca.dualValue(i); |
---|
| 95 | for (MinCostArborescence<Digraph, CostMap>::DualIt it(mca, i); |
---|
| 96 | it != INVALID; ++it) { |
---|
| 97 | dualSolution[i].second.insert(it); |
---|
| 98 | } |
---|
| 99 | } |
---|
| 100 | |
---|
| 101 | for (ArcIt it(digraph); it != INVALID; ++it) { |
---|
| 102 | if (mca.reached(digraph.source(it))) { |
---|
| 103 | double sum = 0.0; |
---|
| 104 | for (int i = 0; i < int(dualSolution.size()); ++i) { |
---|
| 105 | if (dualSolution[i].second.find(digraph.target(it)) |
---|
| 106 | != dualSolution[i].second.end() && |
---|
| 107 | dualSolution[i].second.find(digraph.source(it)) |
---|
| 108 | == dualSolution[i].second.end()) { |
---|
| 109 | sum += dualSolution[i].first; |
---|
| 110 | } |
---|
| 111 | } |
---|
| 112 | if (mca.arborescence(it)) { |
---|
| 113 | check(sum == cost[it], "INVALID DUAL"); |
---|
| 114 | } |
---|
| 115 | check(sum <= cost[it], "INVALID DUAL"); |
---|
| 116 | } |
---|
| 117 | } |
---|
| 118 | |
---|
| 119 | |
---|
| 120 | check(mca.dualValue() == mca.arborescenceValue(), "INVALID DUAL"); |
---|
| 121 | |
---|
| 122 | check(mca.reached(source), "INVALID ARBORESCENCE"); |
---|
| 123 | for (ArcIt a(digraph); a != INVALID; ++a) { |
---|
| 124 | check(!mca.reached(digraph.source(a)) || |
---|
| 125 | mca.reached(digraph.target(a)), "INVALID ARBORESCENCE"); |
---|
| 126 | } |
---|
| 127 | |
---|
| 128 | for (NodeIt n(digraph); n != INVALID; ++n) { |
---|
| 129 | if (!mca.reached(n)) continue; |
---|
| 130 | int cnt = 0; |
---|
| 131 | for (InArcIt a(digraph, n); a != INVALID; ++a) { |
---|
| 132 | if (mca.arborescence(a)) { |
---|
| 133 | check(mca.pred(n) == a, "INVALID ARBORESCENCE"); |
---|
| 134 | ++cnt; |
---|
| 135 | } |
---|
| 136 | } |
---|
| 137 | check((n == source ? cnt == 0 : cnt == 1), "INVALID ARBORESCENCE"); |
---|
| 138 | } |
---|
| 139 | |
---|
| 140 | Digraph::ArcMap<bool> arborescence(digraph); |
---|
| 141 | check(mca.arborescenceValue() == |
---|
| 142 | minCostArborescence(digraph, cost, source, arborescence), |
---|
| 143 | "WRONG FUNCTION"); |
---|
| 144 | |
---|
| 145 | return 0; |
---|
| 146 | } |
---|