test/max_weighted_matching_test.cc
author kpeter
Thu, 28 Feb 2008 02:55:23 +0000
changeset 2582 4f1ac622bb7a
parent 2553 bfced05fa852
permissions -rw-r--r--
Avoid map copy in MinCostMaxFlow.
     1 /* -*- C++ -*-
     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 <sstream>
    21 #include <vector>
    22 #include <queue>
    23 #include <lemon/math.h>
    24 #include <cstdlib>
    25 
    26 #include "test_tools.h"
    27 #include <lemon/smart_graph.h>
    28 #include <lemon/max_matching.h>
    29 #include <lemon/graph_reader.h>
    30 
    31 UGRAPH_TYPEDEFS(SmartUGraph);
    32 
    33 using namespace std;
    34 using namespace lemon;
    35 
    36 const int lgfn = 3;
    37 const std::string lgf[lgfn] = {   
    38   "@nodeset\n"
    39   "label\n"
    40   "0\n"
    41   "1\n"
    42   "2\n"
    43   "3\n"
    44   "4\n"
    45   "5\n"
    46   "6\n"
    47   "7\n"
    48   "@uedgeset\n"
    49   "label        weight\n"
    50   "7    4       0       984\n"
    51   "0    7       1       73\n"
    52   "7    1       2       204\n"
    53   "2    3       3       583\n"
    54   "2    7       4       565\n"
    55   "2    1       5       582\n"
    56   "0    4       6       551\n"
    57   "2    5       7       385\n"
    58   "1    5       8       561\n"
    59   "5    3       9       484\n"
    60   "7    5       10      904\n"
    61   "3    6       11      47\n"
    62   "7    6       12      888\n"
    63   "3    0       13      747\n"
    64   "6    1       14      310\n"
    65   "@end\n",
    66 
    67   "@nodeset\n"
    68   "label\n"
    69   "0\n"
    70   "1\n"
    71   "2\n"
    72   "3\n"
    73   "4\n"
    74   "5\n"
    75   "6\n"
    76   "7\n"
    77   "@uedgeset\n"
    78   "label        weight\n"
    79   "2    5       0       710\n"
    80   "0    5       1       241\n"
    81   "2    4       2       856\n"
    82   "2    6       3       762\n"
    83   "4    1       4       747\n"
    84   "6    1       5       962\n"
    85   "4    7       6       723\n"
    86   "1    7       7       661\n"
    87   "2    3       8       376\n"
    88   "1    0       9       416\n"
    89   "6    7       10      391\n"
    90   "@end\n",
    91 
    92   "@nodeset\n"
    93   "label\n"
    94   "0\n"
    95   "1\n"
    96   "2\n"
    97   "3\n"
    98   "4\n"
    99   "5\n"
   100   "6\n"
   101   "7\n"
   102   "@uedgeset\n"
   103   "label        weight\n"
   104   "6    2       0       553\n"
   105   "0    7       1       653\n"
   106   "6    3       2       22\n"
   107   "4    7       3       846\n"
   108   "7    2       4       981\n"
   109   "7    6       5       250\n"
   110   "5    2       6       539\n"
   111   "@end\n"
   112 };
   113 
   114 void checkMatching(const SmartUGraph& ugraph,
   115 		   const SmartUGraph::UEdgeMap<int>& weight,
   116 		   const MaxWeightedMatching<SmartUGraph>& mwm) {
   117   for (SmartUGraph::UEdgeIt e(ugraph); e != INVALID; ++e) {
   118     if (ugraph.source(e) == ugraph.target(e)) continue;
   119     int rw = 
   120       mwm.nodeValue(ugraph.source(e)) + mwm.nodeValue(ugraph.target(e));
   121 
   122     for (int i = 0; i < mwm.blossomNum(); ++i) {
   123       bool s = false, t = false;
   124       for (MaxWeightedMatching<SmartUGraph>::BlossomIt n(mwm, i); 
   125 	   n != INVALID; ++n) {
   126 	if (ugraph.source(e) == n) s = true;
   127 	if (ugraph.target(e) == n) t = true;
   128       }
   129       if (s == true && t == true) {
   130 	rw += mwm.blossomValue(i);
   131       }
   132     }
   133     rw -= weight[e] * mwm.dualScale;
   134 
   135     check(rw >= 0, "Negative reduced weight");
   136     check(rw == 0 || !mwm.matching(e), 
   137 	  "Non-zero reduced weight on matching edge");
   138   }
   139 
   140   int pv = 0;
   141   for (SmartUGraph::NodeIt n(ugraph); n != INVALID; ++n) {
   142     if (mwm.matching(n) != INVALID) {
   143       check(mwm.nodeValue(n) >= 0, "Invalid node value");
   144       pv += weight[mwm.matching(n)];
   145       SmartUGraph::Node o = ugraph.target(mwm.matching(n));
   146       check(mwm.mate(n) == o, "Invalid matching");
   147       check(mwm.matching(n) == ugraph.oppositeEdge(mwm.matching(o)), 
   148 	    "Invalid matching");
   149     } else {
   150       check(mwm.mate(n) == INVALID, "Invalid matching");
   151       check(mwm.nodeValue(n) == 0, "Invalid matching");
   152     }
   153   }
   154 
   155   int dv = 0;
   156   for (SmartUGraph::NodeIt n(ugraph); n != INVALID; ++n) {
   157     dv += mwm.nodeValue(n);
   158   }
   159 
   160   for (int i = 0; i < mwm.blossomNum(); ++i) {
   161     check(mwm.blossomValue(i) >= 0, "Invalid blossom value");
   162     check(mwm.blossomSize(i) % 2 == 1, "Even blossom size");
   163     dv += mwm.blossomValue(i) * ((mwm.blossomSize(i) - 1) / 2);
   164   }
   165 
   166   check(pv * mwm.dualScale == dv * 2, "Wrong duality");
   167 
   168   return;
   169 }
   170 
   171 void checkPerfectMatching(const SmartUGraph& ugraph,
   172 			  const SmartUGraph::UEdgeMap<int>& weight,
   173 			  const MaxWeightedPerfectMatching<SmartUGraph>& mwpm) {
   174   for (SmartUGraph::UEdgeIt e(ugraph); e != INVALID; ++e) {
   175     if (ugraph.source(e) == ugraph.target(e)) continue;
   176     int rw = 
   177       mwpm.nodeValue(ugraph.source(e)) + mwpm.nodeValue(ugraph.target(e));
   178 
   179     for (int i = 0; i < mwpm.blossomNum(); ++i) {
   180       bool s = false, t = false;
   181       for (MaxWeightedPerfectMatching<SmartUGraph>::BlossomIt n(mwpm, i); 
   182 	   n != INVALID; ++n) {
   183 	if (ugraph.source(e) == n) s = true;
   184 	if (ugraph.target(e) == n) t = true;
   185       }
   186       if (s == true && t == true) {
   187 	rw += mwpm.blossomValue(i);
   188       }
   189     }
   190     rw -= weight[e] * mwpm.dualScale;
   191 
   192     check(rw >= 0, "Negative reduced weight");
   193     check(rw == 0 || !mwpm.matching(e), 
   194 	  "Non-zero reduced weight on matching edge");
   195   }
   196 
   197   int pv = 0;
   198   for (SmartUGraph::NodeIt n(ugraph); n != INVALID; ++n) {
   199     check(mwpm.matching(n) != INVALID, "Non perfect");
   200     pv += weight[mwpm.matching(n)];
   201     SmartUGraph::Node o = ugraph.target(mwpm.matching(n));
   202     check(mwpm.mate(n) == o, "Invalid matching");
   203     check(mwpm.matching(n) == ugraph.oppositeEdge(mwpm.matching(o)), 
   204 	  "Invalid matching");
   205   }
   206 
   207   int dv = 0;
   208   for (SmartUGraph::NodeIt n(ugraph); n != INVALID; ++n) {
   209     dv += mwpm.nodeValue(n);
   210   }
   211 
   212   for (int i = 0; i < mwpm.blossomNum(); ++i) {
   213     check(mwpm.blossomValue(i) >= 0, "Invalid blossom value");
   214     check(mwpm.blossomSize(i) % 2 == 1, "Even blossom size");
   215     dv += mwpm.blossomValue(i) * ((mwpm.blossomSize(i) - 1) / 2);
   216   }
   217 
   218   check(pv * mwpm.dualScale == dv * 2, "Wrong duality");
   219 
   220   return;
   221 }
   222 
   223 
   224 int main() {
   225 
   226   for (int i = 0; i < lgfn; ++i) {
   227     SmartUGraph ugraph;
   228     SmartUGraph::UEdgeMap<int> weight(ugraph);
   229     
   230     istringstream lgfs(lgf[i]);
   231     UGraphReader<SmartUGraph>(lgfs, ugraph).
   232       readUEdgeMap("weight", weight).run();
   233 
   234     MaxWeightedMatching<SmartUGraph> mwm(ugraph, weight);
   235     mwm.run();
   236     checkMatching(ugraph, weight, mwm);
   237 
   238     MaxMatching<SmartUGraph> mm(ugraph);
   239     mm.run();
   240 
   241     MaxWeightedPerfectMatching<SmartUGraph> mwpm(ugraph, weight);
   242     bool perfect = mwpm.run();
   243 
   244     check(perfect == (mm.size() * 2 == countNodes(ugraph)), 
   245 	  "Perfect matching found");
   246 
   247     if (perfect) {
   248       checkPerfectMatching(ugraph, weight, mwpm);
   249     }
   250   }
   251   
   252   return 0;
   253 }