benchmark/min_cut.cc
author deba
Wed, 07 Mar 2007 12:00:59 +0000
changeset 2400 b199ded24c19
parent 2341 46a6311ceffa
child 2553 bfced05fa852
permissions -rw-r--r--
Steiner 2-approximation demo
     1 /* -*- C++ -*-
     2  *
     3  * This file is a part of LEMON, a generic C++ optimization library
     4  *
     5  * Copyright (C) 2003-2007
     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 <lemon/list_graph.h>
    20 
    21 #include <lemon/hao_orlin.h>
    22 #include <lemon/nagamochi_ibaraki.h>
    23 #include <lemon/time_measure.h>
    24 
    25 using namespace lemon;
    26 
    27 #include "min_cut_graphs.h"
    28 
    29 
    30 void testRegUGraph();
    31 void testNoiUGraph();
    32 void testBikeWheelUGraph();
    33 
    34 int main() {
    35   testRegUGraph();
    36   testNoiUGraph();
    37   testBikeWheelUGraph();
    38   return 0;
    39 }
    40 
    41 //#define int long long
    42 
    43 
    44 int cutValue(const ListUGraph& g, const ListUGraph::UEdgeMap<int>& c,
    45            const ListUGraph::NodeMap<bool>& n) {
    46   int v = 0;
    47   for (ListUGraph::UEdgeIt e(g); e != INVALID; ++e) {
    48     if (n[g.source(e)] != n[g.target(e)]) {
    49       v += c[e];
    50     }
    51   }
    52   return v;
    53 }
    54 
    55 int cutSize(const ListUGraph& g, const ListUGraph::NodeMap<bool>& nm) {
    56   int m = 0;
    57   for (ListUGraph::NodeIt n(g); n != INVALID; ++n) {
    58     if (nm[n]) {
    59       ++m;
    60     }
    61   }
    62   return m;
    63 }
    64 
    65 int testNI(const ListUGraph& g, const ListUGraph::UEdgeMap<int>& c) {
    66   TimeReport tr("Nagamochi-Ibaraki : ");
    67   NagamochiIbaraki<ListUGraph, ListUGraph::UEdgeMap<int> > alg(g, c);
    68   alg.run();
    69   ListUGraph::NodeMap<bool> n(g);
    70   alg.minCut(n);
    71   std::cout << "Check : " << cutValue(g, c, n) << ' '
    72             << cutSize(g, n) << std::endl;
    73   return alg.minCut();
    74 }
    75 
    76 int testHO(const ListUGraph& g, const ListUGraph::UEdgeMap<int>& c) {
    77   TimeReport tr("Hao-Orlin : ");
    78   HaoOrlin<ListUGraph, ListUGraph::UEdgeMap<int> > alg(g, c);
    79   alg.init();
    80   alg.calculateOut();
    81   ListUGraph::NodeMap<bool> n(g);
    82   alg.minCut(n);
    83   std::cout << "Check : " << cutValue(g, c, n) << ' '
    84             << cutSize(g, n) << std::endl;
    85   return alg.minCut();
    86 }
    87 
    88 void testBikeWheelUGraph(int n) {
    89   ListUGraph g;
    90   ListUGraph::UEdgeMap<int> c(g);
    91   genBikeWheelUGraph(g, c, n);
    92   std::cout << "Node number : " << n << std::endl;
    93   std::cout << "Hao-Orlin : " << testHO(g, c) << std::endl;
    94   std::cout << "Nagamochi-Ibaraki : " << testNI(g, c) << std::endl;
    95 }
    96 
    97 void testBikeWheelUGraph() {
    98   std::cout << "BikeWheelUGraph : " << std::endl;
    99   for (int k = 10; k <= 13; ++k) {
   100     int n = 1 << k;
   101     testBikeWheelUGraph(n);
   102   }
   103 }
   104 
   105 void testNoiUGraph(int n, int d, int k, int p) {
   106   ListUGraph g;
   107   ListUGraph::UEdgeMap<int> c(g);
   108   genNoiUGraph(g, c, n, d, k, p);
   109   std::cout << "Node number : " << n << std::endl;
   110   std::cout << "Density : " << d << std::endl;
   111   std::cout << "Tight components : " << k << std::endl;
   112   std::cout << "Scale : " << p << std::endl;
   113   std::cout << "Hao-Orlin : " << testHO(g, c) << std::endl;
   114   std::cout << "Nagamochi-Ibaraki : " << testNI(g, c) << std::endl;
   115 }
   116 
   117 
   118 void testNoiUGraph() {
   119   std::cout << "NoiUGraph : " << std::endl; 
   120   std::cout << "Serial 1 : " << std::endl;
   121   for (int n = 300; n <= 1000; n += 100) {
   122     testNoiUGraph(n, 50, 1, n);
   123   }
   124   std::cout << "Serial 2 : " << std::endl;
   125   for (int n = 300; n <= 1000; n += 100) {
   126     testNoiUGraph(n, 50, 2, n);
   127   }
   128   std::cout << "Serial 3 : " << std::endl;
   129   int da3[] = { 5, 10, 25, 50, 75, 100 };
   130   int dn3 = sizeof(da3) / sizeof(da3[0]);
   131   for (int d = 0; d < dn3; ++d) {
   132     testNoiUGraph(1000, da3[d], 1, 1000);
   133   }
   134   std::cout << "Serial 4 : " << std::endl;
   135   for (int d = 0; d < dn3; ++d) {
   136     testNoiUGraph(1000, da3[d], 2, 1000);
   137   }
   138   std::cout << "Serial 5 : " << std::endl;
   139   int ka5[] = {1, 2, 3, 5, 7, 10, 20, 30, 33, 35, 
   140                40, 50, 100, 200, 300, 400, 500};
   141   int kn5 = sizeof(ka5) / sizeof(ka5[0]);
   142   for (int k = 0; k < kn5; ++k) {
   143     testNoiUGraph(1000, 50, ka5[k], 1000);
   144   }
   145   std::cout << "Serial 6 : " << std::endl;
   146   int pa6[] = { 5000, 2000, 1000, 500, 250, 100, 50, 10, 1};
   147   int pn6 = sizeof(pa6) / sizeof(pa6[0]);
   148   for (int p = 0; p < pn6; ++p) {
   149     testNoiUGraph(1000, 50, 2, pa6[p]);
   150   }  
   151   
   152 }
   153 
   154 void testRegUGraph(int n, int d) {
   155   ListUGraph g;
   156   ListUGraph::UEdgeMap<int> c(g);
   157   genRegUGraph(g, c, n, d);
   158   std::cout << "Node number : " << n << std::endl;
   159   std::cout << "Number of cycles : " << d << std::endl;
   160   std::cout << "Hao-Orlin : " << testHO(g, c) << std::endl;
   161   std::cout << "Nagamochi-Ibaraki : " << testNI(g, c) << std::endl;
   162 }
   163 
   164 void testRegUGraph() {
   165   std::cout << "RegUGraph : " << std::endl; 
   166   std::cout << "Serial 1 : " << std::endl;
   167   int da1[] = { 1, 3, 10, 33, 100, 333, 1000};
   168   int dn1 = sizeof(da1) / sizeof(da1[0]);
   169   for (int d = 0; d < dn1; ++d) {
   170     testRegUGraph(1001, da1[d]);
   171   }
   172   std::cout << "Serial 2 : " << std::endl;
   173   int na2[] = { 50, 100, 200, 400, 800};
   174   int nn2 = sizeof(na2) / sizeof(na2[0]);
   175   for (int n = 0; n < nn2; ++n) {
   176     testRegUGraph(na2[n], 50);
   177   }
   178   std::cout << "Serial 3 : " << std::endl;
   179   for (int n = 8; n <= 14; ++n) {
   180     testRegUGraph(1 << n, 2);
   181   }
   182   std::cout << "Serial 4 : " << std::endl;
   183   for (int n = 7; n <= 11; ++n) {
   184     testRegUGraph(1 << n, 1 << (n - 4));
   185   }  
   186 }
   187