test/vf2_test.cc
author Alpar Juttner <alpar@cs.elte.hu>
Thu, 14 May 2015 16:07:38 +0200
changeset 1142 2f479109a71d
child 1143 f85ee41c84bc
permissions -rw-r--r--
Documentation for VF2 (#597)

The implementation of this feature was sponsored by QuantumBio Inc.
     1 /* -*- mode: C++; indent-tabs-mode: nil; -*-
     2  *
     3  * This file is a part of LEMON, a generic C++ optimization library.
     4  *
     5  * Copyright (C) 2015
     6  * EMAXA Kutato-fejleszto Kft. (EMAXA Research Ltd.)
     7  *
     8  * Permission to use, modify and distribute this software is granted
     9  * provided that this copyright notice appears in all copies. For
    10  * precise terms see the accompanying LICENSE file.
    11  *
    12  * This software is provided "AS IS" with no warranty of any kind,
    13  * express or implied, and with no claim as to its suitability for any
    14  * purpose.
    15  *
    16  */
    17 
    18 #include <lemon/vf2.h>
    19 #include <lemon/concepts/digraph.h>
    20 #include <lemon/smart_graph.h>
    21 #include <lemon/lgf_reader.h>
    22 #include <lemon/concepts/maps.h>
    23 
    24 #include <test/test_tools.h>
    25 #include <sstream>
    26 
    27 using namespace lemon;
    28 
    29 char petersen_lgf[] =
    30   "@nodes\n"
    31   "label col1 col2\n"
    32   "0 1 1\n"
    33   "1 1 2\n"
    34   "2 1 3\n"
    35   "3 1 4\n"
    36   "4 2 5\n"
    37   "5 2 1\n"
    38   "6 2 2\n"
    39   "7 2 3\n"
    40   "8 2 4\n"
    41   "9 2 5\n"
    42   "@arcs\n"
    43   "     -\n"
    44   "0 1\n"
    45   "1 2\n"
    46   "2 3\n"
    47   "3 4\n"
    48   "4 0\n"
    49   "0 5\n"
    50   "1 6\n"
    51   "2 7\n"
    52   "3 8\n"
    53   "4 9\n"
    54   "5 8\n"
    55   "5 7\n"
    56   "9 6\n"
    57   "9 7\n"
    58   "6 8\n";
    59 
    60 char c5_lgf[] =
    61   "@nodes\n"
    62   "label col\n"
    63   "0 1\n"
    64   "1 2\n"
    65   "2 3\n"
    66   "3 4\n"
    67   "4 5\n"
    68   "@arcs\n"
    69   "     -\n"
    70   "0 1\n"
    71   "1 2\n"
    72   "2 3\n"
    73   "3 4\n"
    74   "4 0\n";
    75 
    76 char c7_lgf[] =
    77   "@nodes\n"
    78   "label\n"
    79   "0\n"
    80   "1\n"
    81   "2\n"
    82   "3\n"
    83   "4\n"
    84   "5\n"
    85   "6\n"
    86   "@arcs\n"
    87   "     -\n"
    88   "0 1\n"
    89   "1 2\n"
    90   "2 3\n"
    91   "3 4\n"
    92   "4 5\n"
    93   "5 6\n"
    94   "6 0\n";
    95 
    96 char c10_lgf[] =
    97   "@nodes\n"
    98   "label\n"
    99   "0\n"
   100   "1\n"
   101   "2\n"
   102   "3\n"
   103   "4\n"
   104   "5\n"
   105   "6\n"
   106   "7\n"
   107   "8\n"
   108   "9\n"
   109   "@arcs\n"
   110   "     -\n"
   111   "0 1\n"
   112   "1 2\n"
   113   "2 3\n"
   114   "3 4\n"
   115   "4 5\n"
   116   "5 6\n"
   117   "6 7\n"
   118   "7 8\n"
   119   "8 9\n"
   120   "9 0\n";
   121 
   122 char p10_lgf[] =
   123   "@nodes\n"
   124   "label\n"
   125   "0\n"
   126   "1\n"
   127   "2\n"
   128   "3\n"
   129   "4\n"
   130   "5\n"
   131   "6\n"
   132   "7\n"
   133   "8\n"
   134   "9\n"
   135   "@arcs\n"
   136   "     -\n"
   137   "0 1\n"
   138   "1 2\n"
   139   "2 3\n"
   140   "3 4\n"
   141   "4 5\n"
   142   "5 6\n"
   143   "6 7\n"
   144   "7 8\n"
   145   "8 9\n";
   146 
   147 SmartGraph petersen, c5, c7, c10, p10;
   148 SmartGraph::NodeMap<int> petersen_col1(petersen);
   149 SmartGraph::NodeMap<int> petersen_col2(petersen);
   150 SmartGraph::NodeMap<int> c5_col(c5);
   151 
   152 void make_graphs() {
   153   std::stringstream ss(petersen_lgf);
   154   graphReader(petersen, ss)
   155     .nodeMap("col1",petersen_col1)
   156     .nodeMap("col2",petersen_col2)
   157     .run();
   158 
   159   ss.clear();
   160   ss.str("");
   161   ss<<c5_lgf;
   162   //std::stringstream ss2(c5_lgf);
   163   graphReader(c5, ss)
   164     .nodeMap("col",c5_col)
   165     .run();
   166 
   167   ss.clear();
   168   ss.str("");
   169   ss<<c7_lgf;
   170   graphReader(c7, ss).run();
   171 
   172   ss.clear();
   173   ss.str("");
   174   ss<<c10_lgf;
   175   graphReader(c10, ss).run();
   176 
   177   ss.clear();
   178   ss.str("");
   179   ss<<p10_lgf;
   180   graphReader(p10, ss).run();
   181 
   182 }
   183 
   184 class EqComparable {
   185 public:
   186   bool operator==(const EqComparable&) { return false; }
   187 };
   188 
   189 template<class A, class B>
   190 class EqClass {
   191 public:
   192   bool operator()(A, B) { return false; }
   193 };
   194 
   195 template<class G1,class G2>
   196 void checkVf2Compile()
   197 {
   198   G1 g;
   199   G2 h;
   200   concepts::ReadWriteMap<typename G1::Node, typename G2::Node> r;
   201   bool succ;
   202   ::lemon::ignore_unused_variable_warning(succ);
   203 
   204   succ = vf2(g,h).run();
   205   succ = vf2(g,h).induced().run();
   206   succ = vf2(g,h).iso().run();
   207   succ = vf2(g,h).mapping(r).run();
   208   succ = vf2(g,h).induced().mapping(r).run();
   209   succ = vf2(g,h).iso().mapping(r).run();
   210   concepts::ReadMap<typename G1::Node, EqComparable> l1;
   211   concepts::ReadMap<typename G2::Node, EqComparable> l2;
   212   succ = vf2(g,h).nodeLabels(l1,l2).mapping(r).run();
   213   succ = vf2(g,h).nodeEq(EqClass<typename G1::Node,typename G2::Node>())
   214     .mapping(r).run();
   215 }
   216 
   217 void justCompile()
   218 {
   219   checkVf2Compile<concepts::Graph,concepts::Graph>();
   220   checkVf2Compile<concepts::Graph,SmartGraph>();
   221   checkVf2Compile<SmartGraph,concepts::Graph>();
   222 }
   223 
   224 template<class G1, class G2, class I>
   225 void checkSub(const G1 &g1, const G2 &g2, const I &i)
   226 {
   227   {
   228     std::set<typename G2::Node> image;
   229     for(typename G1::NodeIt n(g1);n!=INVALID;++n)
   230       {
   231           check(i[n]!=INVALID, "Wrong isomorphism: incomplete mapping.");
   232           check(image.count(i[n])==0,"Wrong isomorphism: not injective.");
   233           image.insert(i[n]);
   234       }
   235   }
   236   for(typename G1::EdgeIt e(g1);e!=INVALID;++e)
   237     check(findEdge(g2,i[g1.u(e)],i[g1.v(e)])!=INVALID,
   238           "Wrong isomorphism: missing edge(checkSub).");
   239 }
   240 
   241 template<class G1, class G2, class I>
   242 void checkInd(const G1 &g1, const G2 &g2, const I &i)
   243   {
   244   std::set<typename G2::Node> image;
   245   for(typename G1::NodeIt n(g1);n!=INVALID;++n)
   246     {
   247     check(i[n]!=INVALID, "Wrong isomorphism: incomplete mapping.");
   248     check(image.count(i[n])==0,"Wrong isomorphism: not injective.");
   249     image.insert(i[n]);
   250     }
   251   for(typename G1::NodeIt n(g1); n!=INVALID; ++n)
   252     for(typename G1::NodeIt m(g1); m!=INVALID; ++m)
   253       if((findEdge(g1,n,m)==INVALID) != (findEdge(g2,i[n],i[m])==INVALID))
   254         {
   255         std::cout << "Wrong isomorphism: edge mismatch";
   256         exit(1);
   257         }
   258   }
   259 
   260 template<class G1,class G2>
   261 int checkSub(const G1 &g1, const G2 &g2)
   262 {
   263   typename G1:: template NodeMap<typename G2::Node> iso(g1,INVALID);
   264   if(vf2(g1,g2).mapping(iso).run())
   265     {
   266       checkSub(g1,g2,iso);
   267       return true;
   268     }
   269   else return false;
   270 }
   271 
   272 template<class G1,class G2>
   273 int checkInd(const G1 &g1, const G2 &g2)
   274 {
   275   typename G1:: template NodeMap<typename G2::Node> iso(g1,INVALID);
   276   if(vf2(g1,g2).induced().mapping(iso).run())
   277     {
   278       checkInd(g1,g2,iso);
   279       return true;
   280     }
   281   else return false;
   282 }
   283 
   284 template<class G1,class G2>
   285 int checkIso(const G1 &g1, const G2 &g2)
   286 {
   287   typename G1:: template NodeMap<typename G2::Node> iso(g1,INVALID);
   288   if(vf2(g1,g2).iso().mapping(iso).run())
   289     {
   290       check(countNodes(g1)==countNodes(g2),
   291             "Wrong iso alg.: they are not isomophic.");
   292       checkInd(g1,g2,iso);
   293       return true;
   294     }
   295   else return false;
   296 }
   297 
   298 template<class G1, class G2, class L1, class L2, class I>
   299 void checkLabel(const G1 &g1, const G2 &,
   300                 const L1 &l1, const L2 &l2,const I &i)
   301 {
   302   for(typename G1::NodeIt n(g1);n!=INVALID;++n)
   303     {
   304       check(l1[n]==l2[i[n]],"Wrong isomorphism: label mismatch.");
   305     }
   306 }
   307 
   308 template<class G1,class G2,class L1,class L2>
   309 int checkSub(const G1 &g1, const G2 &g2, const L1 &l1, const L2 &l2)
   310 {
   311   typename G1:: template NodeMap<typename G2::Node> iso(g1,INVALID);
   312   if(vf2(g1,g2).nodeLabels(l1,l2).mapping(iso).run())
   313     {
   314       checkSub(g1,g2,iso);
   315       checkLabel(g1,g2,l1,l2,iso);
   316       return true;
   317     }
   318   else return false;
   319 }
   320 
   321 int main() {
   322   make_graphs();
   323   check(checkSub(c5,petersen), "There should exist a C5->Petersen mapping.");
   324   check(!checkSub(c7,petersen),
   325         "There should not exist a C7->Petersen mapping.");
   326   check(checkSub(p10,petersen), "There should exist a P10->Petersen mapping.");
   327   check(!checkSub(c10,petersen),
   328         "There should not exist a C10->Petersen mapping.");
   329   check(checkSub(petersen,petersen),
   330         "There should exist a Petersen->Petersen mapping.");
   331 
   332   check(checkInd(c5,petersen),
   333         "There should exist a C5->Petersen spanned mapping.");
   334   check(!checkInd(c7,petersen),
   335         "There should exist a C7->Petersen spanned mapping.");
   336   check(!checkInd(p10,petersen),
   337         "There should not exist a P10->Petersen spanned mapping.");
   338   check(!checkInd(c10,petersen),
   339         "There should not exist a C10->Petersen spanned mapping.");
   340   check(checkInd(petersen,petersen),
   341         "There should exist a Petersen->Petersen spanned mapping.");
   342 
   343   check(!checkSub(petersen,c10),
   344         "There should not exist a Petersen->C10 mapping.");
   345   check(checkSub(p10,c10),
   346         "There should exist a P10->C10 mapping.");
   347   check(!checkInd(p10,c10),
   348         "There should not exist a P10->C10 spanned mapping.");
   349   check(!checkSub(c10,p10),
   350         "There should not exist a C10->P10 mapping.");
   351 
   352   check(!checkIso(p10,c10),
   353         "P10 and C10 are not isomorphic.");
   354   check(checkIso(c10,c10),
   355         "C10 and C10 are not isomorphic.");
   356 
   357   check(!checkSub(c5,petersen,c5_col,petersen_col1),
   358         "There should exist a C5->Petersen mapping.");
   359   check(checkSub(c5,petersen,c5_col,petersen_col2),
   360         "There should exist a C5->Petersen mapping.");
   361 }