[326] | 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 <sstream> |
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| 21 | #include <vector> |
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| 22 | #include <queue> |
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| 23 | #include <lemon/math.h> |
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| 24 | #include <cstdlib> |
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| 25 | |
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| 26 | #include "test_tools.h" |
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| 27 | #include <lemon/smart_graph.h> |
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| 28 | #include <lemon/max_matching.h> |
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| 29 | #include <lemon/lgf_reader.h> |
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| 30 | |
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| 31 | using namespace std; |
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| 32 | using namespace lemon; |
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| 33 | |
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| 34 | GRAPH_TYPEDEFS(SmartGraph); |
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| 35 | |
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| 36 | const int lgfn = 3; |
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| 37 | const std::string lgf[lgfn] = { |
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| 38 | "@nodes\n" |
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| 39 | "label\n" |
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| 40 | "0\n" |
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| 41 | "1\n" |
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| 42 | "2\n" |
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| 43 | "3\n" |
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| 44 | "4\n" |
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| 45 | "5\n" |
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| 46 | "6\n" |
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| 47 | "7\n" |
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| 48 | "@edges\n" |
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| 49 | "label weight\n" |
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| 50 | "7 4 0 984\n" |
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| 51 | "0 7 1 73\n" |
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| 52 | "7 1 2 204\n" |
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| 53 | "2 3 3 583\n" |
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| 54 | "2 7 4 565\n" |
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| 55 | "2 1 5 582\n" |
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| 56 | "0 4 6 551\n" |
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| 57 | "2 5 7 385\n" |
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| 58 | "1 5 8 561\n" |
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| 59 | "5 3 9 484\n" |
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| 60 | "7 5 10 904\n" |
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| 61 | "3 6 11 47\n" |
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| 62 | "7 6 12 888\n" |
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| 63 | "3 0 13 747\n" |
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| 64 | "6 1 14 310\n", |
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| 65 | |
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| 66 | "@nodes\n" |
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| 67 | "label\n" |
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| 68 | "0\n" |
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| 69 | "1\n" |
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| 70 | "2\n" |
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| 71 | "3\n" |
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| 72 | "4\n" |
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| 73 | "5\n" |
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| 74 | "6\n" |
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| 75 | "7\n" |
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| 76 | "@edges\n" |
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| 77 | "label weight\n" |
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| 78 | "2 5 0 710\n" |
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| 79 | "0 5 1 241\n" |
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| 80 | "2 4 2 856\n" |
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| 81 | "2 6 3 762\n" |
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| 82 | "4 1 4 747\n" |
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| 83 | "6 1 5 962\n" |
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| 84 | "4 7 6 723\n" |
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| 85 | "1 7 7 661\n" |
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| 86 | "2 3 8 376\n" |
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| 87 | "1 0 9 416\n" |
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| 88 | "6 7 10 391\n", |
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| 89 | |
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| 90 | "@nodes\n" |
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| 91 | "label\n" |
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| 92 | "0\n" |
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| 93 | "1\n" |
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| 94 | "2\n" |
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| 95 | "3\n" |
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| 96 | "4\n" |
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| 97 | "5\n" |
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| 98 | "6\n" |
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| 99 | "7\n" |
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| 100 | "@edges\n" |
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| 101 | "label weight\n" |
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| 102 | "6 2 0 553\n" |
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| 103 | "0 7 1 653\n" |
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| 104 | "6 3 2 22\n" |
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| 105 | "4 7 3 846\n" |
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| 106 | "7 2 4 981\n" |
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| 107 | "7 6 5 250\n" |
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| 108 | "5 2 6 539\n" |
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| 109 | }; |
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| 110 | |
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| 111 | void checkMatching(const SmartGraph& graph, |
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| 112 | const SmartGraph::EdgeMap<int>& weight, |
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| 113 | const MaxWeightedMatching<SmartGraph>& mwm) { |
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| 114 | for (SmartGraph::EdgeIt e(graph); e != INVALID; ++e) { |
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| 115 | if (graph.u(e) == graph.v(e)) continue; |
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| 116 | int rw = |
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| 117 | mwm.nodeValue(graph.u(e)) + mwm.nodeValue(graph.v(e)); |
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| 118 | |
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| 119 | for (int i = 0; i < mwm.blossomNum(); ++i) { |
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| 120 | bool s = false, t = false; |
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| 121 | for (MaxWeightedMatching<SmartGraph>::BlossomIt n(mwm, i); |
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| 122 | n != INVALID; ++n) { |
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| 123 | if (graph.u(e) == n) s = true; |
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| 124 | if (graph.v(e) == n) t = true; |
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| 125 | } |
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| 126 | if (s == true && t == true) { |
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| 127 | rw += mwm.blossomValue(i); |
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| 128 | } |
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| 129 | } |
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| 130 | rw -= weight[e] * mwm.dualScale; |
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| 131 | |
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| 132 | check(rw >= 0, "Negative reduced weight"); |
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| 133 | check(rw == 0 || !mwm.matching(e), |
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| 134 | "Non-zero reduced weight on matching arc"); |
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| 135 | } |
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| 136 | |
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| 137 | int pv = 0; |
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| 138 | for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) { |
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| 139 | if (mwm.matching(n) != INVALID) { |
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| 140 | check(mwm.nodeValue(n) >= 0, "Invalid node value"); |
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| 141 | pv += weight[mwm.matching(n)]; |
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| 142 | SmartGraph::Node o = graph.target(mwm.matching(n)); |
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| 143 | check(mwm.mate(n) == o, "Invalid matching"); |
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| 144 | check(mwm.matching(n) == graph.oppositeArc(mwm.matching(o)), |
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| 145 | "Invalid matching"); |
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| 146 | } else { |
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| 147 | check(mwm.mate(n) == INVALID, "Invalid matching"); |
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| 148 | check(mwm.nodeValue(n) == 0, "Invalid matching"); |
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| 149 | } |
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| 150 | } |
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| 151 | |
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| 152 | int dv = 0; |
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| 153 | for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) { |
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| 154 | dv += mwm.nodeValue(n); |
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| 155 | } |
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| 156 | |
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| 157 | for (int i = 0; i < mwm.blossomNum(); ++i) { |
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| 158 | check(mwm.blossomValue(i) >= 0, "Invalid blossom value"); |
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| 159 | check(mwm.blossomSize(i) % 2 == 1, "Even blossom size"); |
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| 160 | dv += mwm.blossomValue(i) * ((mwm.blossomSize(i) - 1) / 2); |
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| 161 | } |
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| 162 | |
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| 163 | check(pv * mwm.dualScale == dv * 2, "Wrong duality"); |
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| 164 | |
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| 165 | return; |
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| 166 | } |
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| 167 | |
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| 168 | void checkPerfectMatching(const SmartGraph& graph, |
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| 169 | const SmartGraph::EdgeMap<int>& weight, |
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| 170 | const MaxWeightedPerfectMatching<SmartGraph>& mwpm) { |
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| 171 | for (SmartGraph::EdgeIt e(graph); e != INVALID; ++e) { |
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| 172 | if (graph.u(e) == graph.v(e)) continue; |
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| 173 | int rw = |
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| 174 | mwpm.nodeValue(graph.u(e)) + mwpm.nodeValue(graph.v(e)); |
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| 175 | |
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| 176 | for (int i = 0; i < mwpm.blossomNum(); ++i) { |
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| 177 | bool s = false, t = false; |
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| 178 | for (MaxWeightedPerfectMatching<SmartGraph>::BlossomIt n(mwpm, i); |
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| 179 | n != INVALID; ++n) { |
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| 180 | if (graph.u(e) == n) s = true; |
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| 181 | if (graph.v(e) == n) t = true; |
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| 182 | } |
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| 183 | if (s == true && t == true) { |
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| 184 | rw += mwpm.blossomValue(i); |
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| 185 | } |
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| 186 | } |
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| 187 | rw -= weight[e] * mwpm.dualScale; |
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| 188 | |
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| 189 | check(rw >= 0, "Negative reduced weight"); |
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| 190 | check(rw == 0 || !mwpm.matching(e), |
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| 191 | "Non-zero reduced weight on matching arc"); |
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| 192 | } |
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| 193 | |
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| 194 | int pv = 0; |
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| 195 | for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) { |
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| 196 | check(mwpm.matching(n) != INVALID, "Non perfect"); |
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| 197 | pv += weight[mwpm.matching(n)]; |
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| 198 | SmartGraph::Node o = graph.target(mwpm.matching(n)); |
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| 199 | check(mwpm.mate(n) == o, "Invalid matching"); |
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| 200 | check(mwpm.matching(n) == graph.oppositeArc(mwpm.matching(o)), |
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| 201 | "Invalid matching"); |
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| 202 | } |
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| 203 | |
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| 204 | int dv = 0; |
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| 205 | for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) { |
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| 206 | dv += mwpm.nodeValue(n); |
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| 207 | } |
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| 208 | |
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| 209 | for (int i = 0; i < mwpm.blossomNum(); ++i) { |
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| 210 | check(mwpm.blossomValue(i) >= 0, "Invalid blossom value"); |
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| 211 | check(mwpm.blossomSize(i) % 2 == 1, "Even blossom size"); |
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| 212 | dv += mwpm.blossomValue(i) * ((mwpm.blossomSize(i) - 1) / 2); |
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| 213 | } |
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| 214 | |
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| 215 | check(pv * mwpm.dualScale == dv * 2, "Wrong duality"); |
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| 216 | |
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| 217 | return; |
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| 218 | } |
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| 219 | |
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| 220 | |
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| 221 | int main() { |
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| 222 | |
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| 223 | for (int i = 0; i < lgfn; ++i) { |
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| 224 | SmartGraph graph; |
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| 225 | SmartGraph::EdgeMap<int> weight(graph); |
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| 226 | |
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| 227 | istringstream lgfs(lgf[i]); |
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| 228 | graphReader(graph, lgfs). |
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| 229 | edgeMap("weight", weight).run(); |
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| 230 | |
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| 231 | MaxWeightedMatching<SmartGraph> mwm(graph, weight); |
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| 232 | mwm.run(); |
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| 233 | checkMatching(graph, weight, mwm); |
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| 234 | |
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| 235 | MaxMatching<SmartGraph> mm(graph); |
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| 236 | mm.run(); |
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| 237 | |
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| 238 | MaxWeightedPerfectMatching<SmartGraph> mwpm(graph, weight); |
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| 239 | bool perfect = mwpm.run(); |
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| 240 | |
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| 241 | check(perfect == (mm.size() * 2 == countNodes(graph)), |
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| 242 | "Perfect matching found"); |
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| 243 | |
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| 244 | if (perfect) { |
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| 245 | checkPerfectMatching(graph, weight, mwpm); |
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| 246 | } |
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| 247 | } |
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| 248 | |
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| 249 | return 0; |
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| 250 | } |
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