deba@338: /* -*- mode: C++; indent-tabs-mode: nil; -*-
deba@338:  *
deba@338:  * This file is a part of LEMON, a generic C++ optimization library.
deba@338:  *
alpar@463:  * Copyright (C) 2003-2009
deba@338:  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
deba@338:  * (Egervary Research Group on Combinatorial Optimization, EGRES).
deba@338:  *
deba@338:  * Permission to use, modify and distribute this software is granted
deba@338:  * provided that this copyright notice appears in all copies. For
deba@338:  * precise terms see the accompanying LICENSE file.
deba@338:  *
deba@338:  * This software is provided "AS IS" with no warranty of any kind,
deba@338:  * express or implied, and with no claim as to its suitability for any
deba@338:  * purpose.
deba@338:  *
deba@338:  */
deba@338: 
deba@338: #include <iostream>
deba@339: #include <sstream>
deba@338: #include <vector>
deba@338: #include <queue>
deba@338: #include <lemon/math.h>
deba@338: #include <cstdlib>
deba@338: 
deba@339: #include <lemon/max_matching.h>
deba@339: #include <lemon/smart_graph.h>
deba@339: #include <lemon/lgf_reader.h>
deba@339: 
deba@338: #include "test_tools.h"
deba@338: 
deba@338: using namespace std;
deba@338: using namespace lemon;
deba@338: 
deba@339: GRAPH_TYPEDEFS(SmartGraph);
deba@339: 
deba@339: 
deba@339: const int lgfn = 3;
deba@339: const std::string lgf[lgfn] = {
deba@339:   "@nodes\n"
deba@339:   "label\n"
deba@339:   "0\n"
deba@339:   "1\n"
deba@339:   "2\n"
deba@339:   "3\n"
deba@339:   "4\n"
deba@339:   "5\n"
deba@339:   "6\n"
deba@339:   "7\n"
deba@339:   "@edges\n"
deba@339:   "     label  weight\n"
deba@339:   "7 4  0      984\n"
deba@339:   "0 7  1      73\n"
deba@339:   "7 1  2      204\n"
deba@339:   "2 3  3      583\n"
deba@339:   "2 7  4      565\n"
deba@339:   "2 1  5      582\n"
deba@339:   "0 4  6      551\n"
deba@339:   "2 5  7      385\n"
deba@339:   "1 5  8      561\n"
deba@339:   "5 3  9      484\n"
deba@339:   "7 5  10     904\n"
deba@339:   "3 6  11     47\n"
deba@339:   "7 6  12     888\n"
deba@339:   "3 0  13     747\n"
deba@339:   "6 1  14     310\n",
deba@339: 
deba@339:   "@nodes\n"
deba@339:   "label\n"
deba@339:   "0\n"
deba@339:   "1\n"
deba@339:   "2\n"
deba@339:   "3\n"
deba@339:   "4\n"
deba@339:   "5\n"
deba@339:   "6\n"
deba@339:   "7\n"
deba@339:   "@edges\n"
deba@339:   "     label  weight\n"
deba@339:   "2 5  0      710\n"
deba@339:   "0 5  1      241\n"
deba@339:   "2 4  2      856\n"
deba@339:   "2 6  3      762\n"
deba@339:   "4 1  4      747\n"
deba@339:   "6 1  5      962\n"
deba@339:   "4 7  6      723\n"
deba@339:   "1 7  7      661\n"
deba@339:   "2 3  8      376\n"
deba@339:   "1 0  9      416\n"
deba@339:   "6 7  10     391\n",
deba@339: 
deba@339:   "@nodes\n"
deba@339:   "label\n"
deba@339:   "0\n"
deba@339:   "1\n"
deba@339:   "2\n"
deba@339:   "3\n"
deba@339:   "4\n"
deba@339:   "5\n"
deba@339:   "6\n"
deba@339:   "7\n"
deba@339:   "@edges\n"
deba@339:   "     label  weight\n"
deba@339:   "6 2  0      553\n"
deba@339:   "0 7  1      653\n"
deba@339:   "6 3  2      22\n"
deba@339:   "4 7  3      846\n"
deba@339:   "7 2  4      981\n"
deba@339:   "7 6  5      250\n"
deba@339:   "5 2  6      539\n",
deba@339: };
deba@339: 
deba@339: void checkMatching(const SmartGraph& graph,
deba@339:                    const MaxMatching<SmartGraph>& mm) {
deba@339:   int num = 0;
deba@339: 
deba@339:   IntNodeMap comp_index(graph);
deba@339:   UnionFind<IntNodeMap> comp(comp_index);
deba@339: 
deba@339:   int barrier_num = 0;
deba@339: 
deba@339:   for (NodeIt n(graph); n != INVALID; ++n) {
deba@339:     check(mm.decomposition(n) == MaxMatching<SmartGraph>::EVEN ||
deba@339:           mm.matching(n) != INVALID, "Wrong Gallai-Edmonds decomposition");
deba@339:     if (mm.decomposition(n) == MaxMatching<SmartGraph>::ODD) {
deba@339:       ++barrier_num;
deba@339:     } else {
deba@339:       comp.insert(n);
deba@339:     }
deba@339:   }
deba@339: 
deba@339:   for (EdgeIt e(graph); e != INVALID; ++e) {
deba@339:     if (mm.matching(e)) {
deba@339:       check(e == mm.matching(graph.u(e)), "Wrong matching");
deba@339:       check(e == mm.matching(graph.v(e)), "Wrong matching");
deba@339:       ++num;
deba@339:     }
deba@339:     check(mm.decomposition(graph.u(e)) != MaxMatching<SmartGraph>::EVEN ||
deba@339:           mm.decomposition(graph.v(e)) != MaxMatching<SmartGraph>::MATCHED,
deba@339:           "Wrong Gallai-Edmonds decomposition");
deba@339: 
deba@339:     check(mm.decomposition(graph.v(e)) != MaxMatching<SmartGraph>::EVEN ||
deba@339:           mm.decomposition(graph.u(e)) != MaxMatching<SmartGraph>::MATCHED,
deba@339:           "Wrong Gallai-Edmonds decomposition");
deba@339: 
deba@339:     if (mm.decomposition(graph.u(e)) != MaxMatching<SmartGraph>::ODD &&
deba@339:         mm.decomposition(graph.v(e)) != MaxMatching<SmartGraph>::ODD) {
deba@339:       comp.join(graph.u(e), graph.v(e));
deba@339:     }
deba@339:   }
deba@339: 
deba@339:   std::set<int> comp_root;
deba@339:   int odd_comp_num = 0;
deba@339:   for (NodeIt n(graph); n != INVALID; ++n) {
deba@339:     if (mm.decomposition(n) != MaxMatching<SmartGraph>::ODD) {
deba@339:       int root = comp.find(n);
deba@339:       if (comp_root.find(root) == comp_root.end()) {
deba@339:         comp_root.insert(root);
deba@339:         if (comp.size(n) % 2 == 1) {
deba@339:           ++odd_comp_num;
deba@339:         }
deba@339:       }
deba@339:     }
deba@339:   }
deba@339: 
deba@339:   check(mm.matchingSize() == num, "Wrong matching");
deba@339:   check(2 * num == countNodes(graph) - (odd_comp_num - barrier_num),
deba@339:          "Wrong matching");
deba@339:   return;
deba@339: }
deba@339: 
deba@339: void checkWeightedMatching(const SmartGraph& graph,
deba@339:                    const SmartGraph::EdgeMap<int>& weight,
deba@339:                    const MaxWeightedMatching<SmartGraph>& mwm) {
deba@339:   for (SmartGraph::EdgeIt e(graph); e != INVALID; ++e) {
deba@339:     if (graph.u(e) == graph.v(e)) continue;
deba@339:     int rw = mwm.nodeValue(graph.u(e)) + mwm.nodeValue(graph.v(e));
deba@339: 
deba@339:     for (int i = 0; i < mwm.blossomNum(); ++i) {
deba@339:       bool s = false, t = false;
deba@339:       for (MaxWeightedMatching<SmartGraph>::BlossomIt n(mwm, i);
deba@339:            n != INVALID; ++n) {
deba@339:         if (graph.u(e) == n) s = true;
deba@339:         if (graph.v(e) == n) t = true;
deba@339:       }
deba@339:       if (s == true && t == true) {
deba@339:         rw += mwm.blossomValue(i);
deba@339:       }
deba@339:     }
deba@339:     rw -= weight[e] * mwm.dualScale;
deba@339: 
deba@339:     check(rw >= 0, "Negative reduced weight");
deba@339:     check(rw == 0 || !mwm.matching(e),
deba@339:           "Non-zero reduced weight on matching edge");
deba@339:   }
deba@339: 
deba@339:   int pv = 0;
deba@339:   for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) {
deba@339:     if (mwm.matching(n) != INVALID) {
deba@339:       check(mwm.nodeValue(n) >= 0, "Invalid node value");
deba@339:       pv += weight[mwm.matching(n)];
deba@339:       SmartGraph::Node o = graph.target(mwm.matching(n));
deba@339:       check(mwm.mate(n) == o, "Invalid matching");
deba@339:       check(mwm.matching(n) == graph.oppositeArc(mwm.matching(o)),
deba@339:             "Invalid matching");
deba@339:     } else {
deba@339:       check(mwm.mate(n) == INVALID, "Invalid matching");
deba@339:       check(mwm.nodeValue(n) == 0, "Invalid matching");
deba@339:     }
deba@339:   }
deba@339: 
deba@339:   int dv = 0;
deba@339:   for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) {
deba@339:     dv += mwm.nodeValue(n);
deba@339:   }
deba@339: 
deba@339:   for (int i = 0; i < mwm.blossomNum(); ++i) {
deba@339:     check(mwm.blossomValue(i) >= 0, "Invalid blossom value");
deba@339:     check(mwm.blossomSize(i) % 2 == 1, "Even blossom size");
deba@339:     dv += mwm.blossomValue(i) * ((mwm.blossomSize(i) - 1) / 2);
deba@339:   }
deba@339: 
deba@339:   check(pv * mwm.dualScale == dv * 2, "Wrong duality");
deba@339: 
deba@339:   return;
deba@339: }
deba@339: 
deba@339: void checkWeightedPerfectMatching(const SmartGraph& graph,
deba@339:                           const SmartGraph::EdgeMap<int>& weight,
deba@339:                           const MaxWeightedPerfectMatching<SmartGraph>& mwpm) {
deba@339:   for (SmartGraph::EdgeIt e(graph); e != INVALID; ++e) {
deba@339:     if (graph.u(e) == graph.v(e)) continue;
deba@339:     int rw = mwpm.nodeValue(graph.u(e)) + mwpm.nodeValue(graph.v(e));
deba@339: 
deba@339:     for (int i = 0; i < mwpm.blossomNum(); ++i) {
deba@339:       bool s = false, t = false;
deba@339:       for (MaxWeightedPerfectMatching<SmartGraph>::BlossomIt n(mwpm, i);
deba@339:            n != INVALID; ++n) {
deba@339:         if (graph.u(e) == n) s = true;
deba@339:         if (graph.v(e) == n) t = true;
deba@339:       }
deba@339:       if (s == true && t == true) {
deba@339:         rw += mwpm.blossomValue(i);
deba@339:       }
deba@339:     }
deba@339:     rw -= weight[e] * mwpm.dualScale;
deba@339: 
deba@339:     check(rw >= 0, "Negative reduced weight");
deba@339:     check(rw == 0 || !mwpm.matching(e),
deba@339:           "Non-zero reduced weight on matching edge");
deba@339:   }
deba@339: 
deba@339:   int pv = 0;
deba@339:   for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) {
deba@339:     check(mwpm.matching(n) != INVALID, "Non perfect");
deba@339:     pv += weight[mwpm.matching(n)];
deba@339:     SmartGraph::Node o = graph.target(mwpm.matching(n));
deba@339:     check(mwpm.mate(n) == o, "Invalid matching");
deba@339:     check(mwpm.matching(n) == graph.oppositeArc(mwpm.matching(o)),
deba@339:           "Invalid matching");
deba@339:   }
deba@339: 
deba@339:   int dv = 0;
deba@339:   for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) {
deba@339:     dv += mwpm.nodeValue(n);
deba@339:   }
deba@339: 
deba@339:   for (int i = 0; i < mwpm.blossomNum(); ++i) {
deba@339:     check(mwpm.blossomValue(i) >= 0, "Invalid blossom value");
deba@339:     check(mwpm.blossomSize(i) % 2 == 1, "Even blossom size");
deba@339:     dv += mwpm.blossomValue(i) * ((mwpm.blossomSize(i) - 1) / 2);
deba@339:   }
deba@339: 
deba@339:   check(pv * mwpm.dualScale == dv * 2, "Wrong duality");
deba@339: 
deba@339:   return;
deba@339: }
deba@339: 
deba@339: 
deba@338: int main() {
deba@338: 
deba@339:   for (int i = 0; i < lgfn; ++i) {
deba@339:     SmartGraph graph;
deba@339:     SmartGraph::EdgeMap<int> weight(graph);
deba@338: 
deba@339:     istringstream lgfs(lgf[i]);
deba@339:     graphReader(graph, lgfs).
deba@339:       edgeMap("weight", weight).run();
deba@338: 
deba@339:     MaxMatching<SmartGraph> mm(graph);
deba@339:     mm.run();
deba@339:     checkMatching(graph, mm);
deba@338: 
deba@339:     MaxWeightedMatching<SmartGraph> mwm(graph, weight);
deba@339:     mwm.run();
deba@339:     checkWeightedMatching(graph, weight, mwm);
deba@338: 
deba@339:     MaxWeightedPerfectMatching<SmartGraph> mwpm(graph, weight);
deba@339:     bool perfect = mwpm.run();
deba@338: 
deba@339:     check(perfect == (mm.matchingSize() * 2 == countNodes(graph)),
deba@339:           "Perfect matching found");
deba@338: 
deba@339:     if (perfect) {
deba@339:       checkWeightedPerfectMatching(graph, weight, mwpm);
deba@338:     }
deba@338:   }
deba@338: 
deba@338:   return 0;
deba@338: }