[490] | 1 | /* -*- mode: C++; indent-tabs-mode: nil; -*- |
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| 2 | * |
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| 3 | * This file is a part of LEMON, a generic C++ optimization library. |
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| 4 | * |
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| 5 | * Copyright (C) 2003-2008 |
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| 6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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| 7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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| 8 | * |
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| 9 | * Permission to use, modify and distribute this software is granted |
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| 10 | * provided that this copyright notice appears in all copies. For |
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| 11 | * precise terms see the accompanying LICENSE file. |
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| 12 | * |
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| 13 | * This software is provided "AS IS" with no warranty of any kind, |
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| 14 | * express or implied, and with no claim as to its suitability for any |
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| 15 | * purpose. |
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| 16 | * |
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| 17 | */ |
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| 18 | |
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| 19 | #include <iostream> |
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| 20 | #include <set> |
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| 21 | #include <vector> |
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| 22 | #include <iterator> |
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| 23 | |
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| 24 | #include <lemon/smart_graph.h> |
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| 25 | #include <lemon/min_cost_arborescence.h> |
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| 26 | #include <lemon/lgf_reader.h> |
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[625] | 27 | #include <lemon/concepts/digraph.h> |
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[490] | 28 | |
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| 29 | #include "test_tools.h" |
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| 30 | |
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| 31 | using namespace lemon; |
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| 32 | using namespace std; |
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| 33 | |
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| 34 | const char test_lgf[] = |
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| 35 | "@nodes\n" |
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| 36 | "label\n" |
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| 37 | "0\n" |
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| 38 | "1\n" |
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| 39 | "2\n" |
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| 40 | "3\n" |
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| 41 | "4\n" |
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| 42 | "5\n" |
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| 43 | "6\n" |
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| 44 | "7\n" |
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| 45 | "8\n" |
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| 46 | "9\n" |
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| 47 | "@arcs\n" |
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| 48 | " label cost\n" |
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| 49 | "1 8 0 107\n" |
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| 50 | "0 3 1 70\n" |
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| 51 | "2 1 2 46\n" |
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| 52 | "4 1 3 28\n" |
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| 53 | "4 4 4 91\n" |
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| 54 | "3 9 5 76\n" |
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| 55 | "9 8 6 61\n" |
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| 56 | "8 1 7 39\n" |
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| 57 | "9 8 8 74\n" |
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| 58 | "8 0 9 39\n" |
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| 59 | "4 3 10 45\n" |
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| 60 | "2 2 11 34\n" |
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| 61 | "0 1 12 100\n" |
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| 62 | "6 3 13 95\n" |
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| 63 | "4 1 14 22\n" |
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| 64 | "1 1 15 31\n" |
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| 65 | "7 2 16 51\n" |
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| 66 | "2 6 17 29\n" |
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| 67 | "8 3 18 115\n" |
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| 68 | "6 9 19 32\n" |
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| 69 | "1 1 20 60\n" |
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| 70 | "0 3 21 40\n" |
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| 71 | "@attributes\n" |
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| 72 | "source 0\n"; |
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| 73 | |
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[625] | 74 | |
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| 75 | void checkMinCostArborescenceCompile() |
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| 76 | { |
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| 77 | typedef double VType; |
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| 78 | typedef concepts::Digraph Digraph; |
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| 79 | typedef concepts::ReadMap<Digraph::Arc, VType> CostMap; |
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| 80 | typedef Digraph::Node Node; |
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| 81 | typedef Digraph::Arc Arc; |
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| 82 | typedef concepts::WriteMap<Digraph::Arc, bool> ArbMap; |
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| 83 | typedef concepts::ReadWriteMap<Digraph::Node, Digraph::Arc> PredMap; |
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| 84 | |
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| 85 | typedef MinCostArborescence<Digraph, CostMap>:: |
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| 86 | SetArborescenceMap<ArbMap>:: |
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| 87 | SetPredMap<PredMap>::Create MinCostArbType; |
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| 88 | |
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| 89 | Digraph g; |
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| 90 | Node s, n; |
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| 91 | Arc e; |
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| 92 | VType c; |
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| 93 | bool b; |
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[982] | 94 | ::lemon::ignore_unused_variable_warning(c,b); |
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[625] | 95 | int i; |
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| 96 | CostMap cost; |
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| 97 | ArbMap arb; |
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| 98 | PredMap pred; |
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| 99 | |
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| 100 | MinCostArbType mcarb_test(g, cost); |
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| 101 | const MinCostArbType& const_mcarb_test = mcarb_test; |
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| 102 | |
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| 103 | mcarb_test |
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| 104 | .arborescenceMap(arb) |
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| 105 | .predMap(pred) |
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| 106 | .run(s); |
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| 107 | |
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| 108 | mcarb_test.init(); |
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| 109 | mcarb_test.addSource(s); |
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| 110 | mcarb_test.start(); |
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| 111 | n = mcarb_test.processNextNode(); |
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| 112 | b = const_mcarb_test.emptyQueue(); |
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| 113 | i = const_mcarb_test.queueSize(); |
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| 114 | |
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| 115 | c = const_mcarb_test.arborescenceCost(); |
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| 116 | b = const_mcarb_test.arborescence(e); |
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| 117 | e = const_mcarb_test.pred(n); |
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| 118 | const MinCostArbType::ArborescenceMap &am = |
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| 119 | const_mcarb_test.arborescenceMap(); |
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| 120 | const MinCostArbType::PredMap &pm = |
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| 121 | const_mcarb_test.predMap(); |
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| 122 | b = const_mcarb_test.reached(n); |
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| 123 | b = const_mcarb_test.processed(n); |
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| 124 | |
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| 125 | i = const_mcarb_test.dualNum(); |
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| 126 | c = const_mcarb_test.dualValue(); |
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| 127 | i = const_mcarb_test.dualSize(i); |
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| 128 | c = const_mcarb_test.dualValue(i); |
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| 129 | |
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[982] | 130 | ::lemon::ignore_unused_variable_warning(am); |
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| 131 | ::lemon::ignore_unused_variable_warning(pm); |
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[625] | 132 | } |
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| 133 | |
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[490] | 134 | int main() { |
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| 135 | typedef SmartDigraph Digraph; |
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| 136 | DIGRAPH_TYPEDEFS(Digraph); |
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| 137 | |
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| 138 | typedef Digraph::ArcMap<double> CostMap; |
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| 139 | |
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| 140 | Digraph digraph; |
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| 141 | CostMap cost(digraph); |
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| 142 | Node source; |
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| 143 | |
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| 144 | std::istringstream is(test_lgf); |
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| 145 | digraphReader(digraph, is). |
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| 146 | arcMap("cost", cost). |
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| 147 | node("source", source).run(); |
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| 148 | |
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| 149 | MinCostArborescence<Digraph, CostMap> mca(digraph, cost); |
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| 150 | mca.run(source); |
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| 151 | |
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| 152 | vector<pair<double, set<Node> > > dualSolution(mca.dualNum()); |
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| 153 | |
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| 154 | for (int i = 0; i < mca.dualNum(); ++i) { |
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| 155 | dualSolution[i].first = mca.dualValue(i); |
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| 156 | for (MinCostArborescence<Digraph, CostMap>::DualIt it(mca, i); |
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| 157 | it != INVALID; ++it) { |
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| 158 | dualSolution[i].second.insert(it); |
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| 159 | } |
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| 160 | } |
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| 161 | |
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| 162 | for (ArcIt it(digraph); it != INVALID; ++it) { |
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| 163 | if (mca.reached(digraph.source(it))) { |
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| 164 | double sum = 0.0; |
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| 165 | for (int i = 0; i < int(dualSolution.size()); ++i) { |
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| 166 | if (dualSolution[i].second.find(digraph.target(it)) |
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| 167 | != dualSolution[i].second.end() && |
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| 168 | dualSolution[i].second.find(digraph.source(it)) |
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| 169 | == dualSolution[i].second.end()) { |
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| 170 | sum += dualSolution[i].first; |
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| 171 | } |
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| 172 | } |
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| 173 | if (mca.arborescence(it)) { |
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[625] | 174 | check(sum == cost[it], "Invalid dual solution"); |
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[490] | 175 | } |
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[625] | 176 | check(sum <= cost[it], "Invalid dual solution"); |
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[490] | 177 | } |
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| 178 | } |
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| 179 | |
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| 180 | |
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[625] | 181 | check(mca.dualValue() == mca.arborescenceCost(), "Invalid dual solution"); |
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[490] | 182 | |
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[625] | 183 | check(mca.reached(source), "Invalid arborescence"); |
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[490] | 184 | for (ArcIt a(digraph); a != INVALID; ++a) { |
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| 185 | check(!mca.reached(digraph.source(a)) || |
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[625] | 186 | mca.reached(digraph.target(a)), "Invalid arborescence"); |
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[490] | 187 | } |
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| 188 | |
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| 189 | for (NodeIt n(digraph); n != INVALID; ++n) { |
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| 190 | if (!mca.reached(n)) continue; |
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| 191 | int cnt = 0; |
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| 192 | for (InArcIt a(digraph, n); a != INVALID; ++a) { |
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| 193 | if (mca.arborescence(a)) { |
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[625] | 194 | check(mca.pred(n) == a, "Invalid arborescence"); |
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[490] | 195 | ++cnt; |
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| 196 | } |
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| 197 | } |
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[625] | 198 | check((n == source ? cnt == 0 : cnt == 1), "Invalid arborescence"); |
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[490] | 199 | } |
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| 200 | |
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| 201 | Digraph::ArcMap<bool> arborescence(digraph); |
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[625] | 202 | check(mca.arborescenceCost() == |
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[490] | 203 | minCostArborescence(digraph, cost, source, arborescence), |
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[625] | 204 | "Wrong result of the function interface"); |
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[490] | 205 | |
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| 206 | return 0; |
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| 207 | } |
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