test/digraph_test.cc
author Peter Kovacs <kpeter@inf.elte.hu>
Fri, 17 Apr 2009 18:04:36 +0200
changeset 656 e6927fe719e6
parent 388 2d87dbd7f8c8
child 783 2e20aad15754
child 821 f4b5c2d5449d
child 1157 761fe0846f49
permissions -rw-r--r--
Support >= and <= constraints in NetworkSimplex (#219, #234)

By default the same inequality constraints are supported as by
Circulation (the GEQ form), but the LEQ form can also be selected
using the problemType() function.

The documentation of the min. cost flow module is reworked and
extended with important notes and explanations about the different
variants of the problem and about the dual solution and optimality
conditions.
     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) 2003-2009
     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/concepts/digraph.h>
    20 #include <lemon/list_graph.h>
    21 #include <lemon/smart_graph.h>
    22 #include <lemon/full_graph.h>
    23 
    24 #include "test_tools.h"
    25 #include "graph_test.h"
    26 
    27 using namespace lemon;
    28 using namespace lemon::concepts;
    29 
    30 template <class Digraph>
    31 void checkDigraphBuild() {
    32   TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
    33   Digraph G;
    34 
    35   checkGraphNodeList(G, 0);
    36   checkGraphArcList(G, 0);
    37 
    38   Node
    39     n1 = G.addNode(),
    40     n2 = G.addNode(),
    41     n3 = G.addNode();
    42   checkGraphNodeList(G, 3);
    43   checkGraphArcList(G, 0);
    44 
    45   Arc a1 = G.addArc(n1, n2);
    46   check(G.source(a1) == n1 && G.target(a1) == n2, "Wrong arc");
    47   checkGraphNodeList(G, 3);
    48   checkGraphArcList(G, 1);
    49 
    50   checkGraphOutArcList(G, n1, 1);
    51   checkGraphOutArcList(G, n2, 0);
    52   checkGraphOutArcList(G, n3, 0);
    53 
    54   checkGraphInArcList(G, n1, 0);
    55   checkGraphInArcList(G, n2, 1);
    56   checkGraphInArcList(G, n3, 0);
    57 
    58   checkGraphConArcList(G, 1);
    59 
    60   Arc a2 = G.addArc(n2, n1),
    61       a3 = G.addArc(n2, n3),
    62       a4 = G.addArc(n2, n3);
    63 
    64   checkGraphNodeList(G, 3);
    65   checkGraphArcList(G, 4);
    66 
    67   checkGraphOutArcList(G, n1, 1);
    68   checkGraphOutArcList(G, n2, 3);
    69   checkGraphOutArcList(G, n3, 0);
    70 
    71   checkGraphInArcList(G, n1, 1);
    72   checkGraphInArcList(G, n2, 1);
    73   checkGraphInArcList(G, n3, 2);
    74 
    75   checkGraphConArcList(G, 4);
    76 
    77   checkNodeIds(G);
    78   checkArcIds(G);
    79   checkGraphNodeMap(G);
    80   checkGraphArcMap(G);
    81 }
    82 
    83 template <class Digraph>
    84 void checkDigraphSplit() {
    85   TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
    86 
    87   Digraph G;
    88   Node n1 = G.addNode(), n2 = G.addNode(), n3 = G.addNode();
    89   Arc a1 = G.addArc(n1, n2), a2 = G.addArc(n2, n1),
    90       a3 = G.addArc(n2, n3), a4 = G.addArc(n2, n3);
    91 
    92   Node n4 = G.split(n2);
    93 
    94   check(G.target(OutArcIt(G, n2)) == n4 &&
    95         G.source(InArcIt(G, n4)) == n2,
    96         "Wrong split.");
    97 
    98   checkGraphNodeList(G, 4);
    99   checkGraphArcList(G, 5);
   100 
   101   checkGraphOutArcList(G, n1, 1);
   102   checkGraphOutArcList(G, n2, 1);
   103   checkGraphOutArcList(G, n3, 0);
   104   checkGraphOutArcList(G, n4, 3);
   105 
   106   checkGraphInArcList(G, n1, 1);
   107   checkGraphInArcList(G, n2, 1);
   108   checkGraphInArcList(G, n3, 2);
   109   checkGraphInArcList(G, n4, 1);
   110 
   111   checkGraphConArcList(G, 5);
   112 }
   113 
   114 template <class Digraph>
   115 void checkDigraphAlter() {
   116   TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
   117 
   118   Digraph G;
   119   Node n1 = G.addNode(), n2 = G.addNode(),
   120        n3 = G.addNode(), n4 = G.addNode();
   121   Arc a1 = G.addArc(n1, n2), a2 = G.addArc(n4, n1),
   122       a3 = G.addArc(n4, n3), a4 = G.addArc(n4, n3),
   123       a5 = G.addArc(n2, n4);
   124 
   125   checkGraphNodeList(G, 4);
   126   checkGraphArcList(G, 5);
   127 
   128   // Check changeSource() and changeTarget()
   129   G.changeTarget(a4, n1);
   130 
   131   checkGraphNodeList(G, 4);
   132   checkGraphArcList(G, 5);
   133 
   134   checkGraphOutArcList(G, n1, 1);
   135   checkGraphOutArcList(G, n2, 1);
   136   checkGraphOutArcList(G, n3, 0);
   137   checkGraphOutArcList(G, n4, 3);
   138 
   139   checkGraphInArcList(G, n1, 2);
   140   checkGraphInArcList(G, n2, 1);
   141   checkGraphInArcList(G, n3, 1);
   142   checkGraphInArcList(G, n4, 1);
   143 
   144   checkGraphConArcList(G, 5);
   145 
   146   G.changeSource(a4, n3);
   147 
   148   checkGraphNodeList(G, 4);
   149   checkGraphArcList(G, 5);
   150 
   151   checkGraphOutArcList(G, n1, 1);
   152   checkGraphOutArcList(G, n2, 1);
   153   checkGraphOutArcList(G, n3, 1);
   154   checkGraphOutArcList(G, n4, 2);
   155 
   156   checkGraphInArcList(G, n1, 2);
   157   checkGraphInArcList(G, n2, 1);
   158   checkGraphInArcList(G, n3, 1);
   159   checkGraphInArcList(G, n4, 1);
   160 
   161   checkGraphConArcList(G, 5);
   162 
   163   // Check contract()
   164   G.contract(n2, n4, false);
   165 
   166   checkGraphNodeList(G, 3);
   167   checkGraphArcList(G, 5);
   168 
   169   checkGraphOutArcList(G, n1, 1);
   170   checkGraphOutArcList(G, n2, 3);
   171   checkGraphOutArcList(G, n3, 1);
   172 
   173   checkGraphInArcList(G, n1, 2);
   174   checkGraphInArcList(G, n2, 2);
   175   checkGraphInArcList(G, n3, 1);
   176 
   177   checkGraphConArcList(G, 5);
   178 
   179   G.contract(n2, n1);
   180 
   181   checkGraphNodeList(G, 2);
   182   checkGraphArcList(G, 3);
   183 
   184   checkGraphOutArcList(G, n2, 2);
   185   checkGraphOutArcList(G, n3, 1);
   186 
   187   checkGraphInArcList(G, n2, 2);
   188   checkGraphInArcList(G, n3, 1);
   189 
   190   checkGraphConArcList(G, 3);
   191 }
   192 
   193 template <class Digraph>
   194 void checkDigraphErase() {
   195   TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
   196 
   197   Digraph G;
   198   Node n1 = G.addNode(), n2 = G.addNode(),
   199        n3 = G.addNode(), n4 = G.addNode();
   200   Arc a1 = G.addArc(n1, n2), a2 = G.addArc(n4, n1),
   201       a3 = G.addArc(n4, n3), a4 = G.addArc(n3, n1),
   202       a5 = G.addArc(n2, n4);
   203 
   204   // Check arc deletion
   205   G.erase(a1);
   206 
   207   checkGraphNodeList(G, 4);
   208   checkGraphArcList(G, 4);
   209 
   210   checkGraphOutArcList(G, n1, 0);
   211   checkGraphOutArcList(G, n2, 1);
   212   checkGraphOutArcList(G, n3, 1);
   213   checkGraphOutArcList(G, n4, 2);
   214 
   215   checkGraphInArcList(G, n1, 2);
   216   checkGraphInArcList(G, n2, 0);
   217   checkGraphInArcList(G, n3, 1);
   218   checkGraphInArcList(G, n4, 1);
   219 
   220   checkGraphConArcList(G, 4);
   221 
   222   // Check node deletion
   223   G.erase(n4);
   224 
   225   checkGraphNodeList(G, 3);
   226   checkGraphArcList(G, 1);
   227 
   228   checkGraphOutArcList(G, n1, 0);
   229   checkGraphOutArcList(G, n2, 0);
   230   checkGraphOutArcList(G, n3, 1);
   231   checkGraphOutArcList(G, n4, 0);
   232 
   233   checkGraphInArcList(G, n1, 1);
   234   checkGraphInArcList(G, n2, 0);
   235   checkGraphInArcList(G, n3, 0);
   236   checkGraphInArcList(G, n4, 0);
   237 
   238   checkGraphConArcList(G, 1);
   239 }
   240 
   241 
   242 template <class Digraph>
   243 void checkDigraphSnapshot() {
   244   TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
   245 
   246   Digraph G;
   247   Node n1 = G.addNode(), n2 = G.addNode(), n3 = G.addNode();
   248   Arc a1 = G.addArc(n1, n2), a2 = G.addArc(n2, n1),
   249       a3 = G.addArc(n2, n3), a4 = G.addArc(n2, n3);
   250 
   251   typename Digraph::Snapshot snapshot(G);
   252 
   253   Node n = G.addNode();
   254   G.addArc(n3, n);
   255   G.addArc(n, n3);
   256 
   257   checkGraphNodeList(G, 4);
   258   checkGraphArcList(G, 6);
   259 
   260   snapshot.restore();
   261 
   262   checkGraphNodeList(G, 3);
   263   checkGraphArcList(G, 4);
   264 
   265   checkGraphOutArcList(G, n1, 1);
   266   checkGraphOutArcList(G, n2, 3);
   267   checkGraphOutArcList(G, n3, 0);
   268 
   269   checkGraphInArcList(G, n1, 1);
   270   checkGraphInArcList(G, n2, 1);
   271   checkGraphInArcList(G, n3, 2);
   272 
   273   checkGraphConArcList(G, 4);
   274 
   275   checkNodeIds(G);
   276   checkArcIds(G);
   277   checkGraphNodeMap(G);
   278   checkGraphArcMap(G);
   279 
   280   G.addNode();
   281   snapshot.save(G);
   282 
   283   G.addArc(G.addNode(), G.addNode());
   284 
   285   snapshot.restore();
   286 
   287   checkGraphNodeList(G, 4);
   288   checkGraphArcList(G, 4);
   289 }
   290 
   291 void checkConcepts() {
   292   { // Checking digraph components
   293     checkConcept<BaseDigraphComponent, BaseDigraphComponent >();
   294 
   295     checkConcept<IDableDigraphComponent<>,
   296       IDableDigraphComponent<> >();
   297 
   298     checkConcept<IterableDigraphComponent<>,
   299       IterableDigraphComponent<> >();
   300 
   301     checkConcept<MappableDigraphComponent<>,
   302       MappableDigraphComponent<> >();
   303   }
   304   { // Checking skeleton digraph
   305     checkConcept<Digraph, Digraph>();
   306   }
   307   { // Checking ListDigraph
   308     checkConcept<Digraph, ListDigraph>();
   309     checkConcept<AlterableDigraphComponent<>, ListDigraph>();
   310     checkConcept<ExtendableDigraphComponent<>, ListDigraph>();
   311     checkConcept<ClearableDigraphComponent<>, ListDigraph>();
   312     checkConcept<ErasableDigraphComponent<>, ListDigraph>();
   313   }
   314   { // Checking SmartDigraph
   315     checkConcept<Digraph, SmartDigraph>();
   316     checkConcept<AlterableDigraphComponent<>, SmartDigraph>();
   317     checkConcept<ExtendableDigraphComponent<>, SmartDigraph>();
   318     checkConcept<ClearableDigraphComponent<>, SmartDigraph>();
   319   }
   320   { // Checking FullDigraph
   321     checkConcept<Digraph, FullDigraph>();
   322   }
   323 }
   324 
   325 template <typename Digraph>
   326 void checkDigraphValidity() {
   327   TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
   328   Digraph g;
   329 
   330   Node
   331     n1 = g.addNode(),
   332     n2 = g.addNode(),
   333     n3 = g.addNode();
   334 
   335   Arc
   336     e1 = g.addArc(n1, n2),
   337     e2 = g.addArc(n2, n3);
   338 
   339   check(g.valid(n1), "Wrong validity check");
   340   check(g.valid(e1), "Wrong validity check");
   341 
   342   check(!g.valid(g.nodeFromId(-1)), "Wrong validity check");
   343   check(!g.valid(g.arcFromId(-1)), "Wrong validity check");
   344 }
   345 
   346 template <typename Digraph>
   347 void checkDigraphValidityErase() {
   348   TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
   349   Digraph g;
   350 
   351   Node
   352     n1 = g.addNode(),
   353     n2 = g.addNode(),
   354     n3 = g.addNode();
   355 
   356   Arc
   357     e1 = g.addArc(n1, n2),
   358     e2 = g.addArc(n2, n3);
   359 
   360   check(g.valid(n1), "Wrong validity check");
   361   check(g.valid(e1), "Wrong validity check");
   362 
   363   g.erase(n1);
   364 
   365   check(!g.valid(n1), "Wrong validity check");
   366   check(g.valid(n2), "Wrong validity check");
   367   check(g.valid(n3), "Wrong validity check");
   368   check(!g.valid(e1), "Wrong validity check");
   369   check(g.valid(e2), "Wrong validity check");
   370 
   371   check(!g.valid(g.nodeFromId(-1)), "Wrong validity check");
   372   check(!g.valid(g.arcFromId(-1)), "Wrong validity check");
   373 }
   374 
   375 void checkFullDigraph(int num) {
   376   typedef FullDigraph Digraph;
   377   DIGRAPH_TYPEDEFS(Digraph);
   378   Digraph G(num);
   379 
   380   checkGraphNodeList(G, num);
   381   checkGraphArcList(G, num * num);
   382 
   383   for (NodeIt n(G); n != INVALID; ++n) {
   384     checkGraphOutArcList(G, n, num);
   385     checkGraphInArcList(G, n, num);
   386   }
   387 
   388   checkGraphConArcList(G, num * num);
   389 
   390   checkNodeIds(G);
   391   checkArcIds(G);
   392   checkGraphNodeMap(G);
   393   checkGraphArcMap(G);
   394 
   395   for (int i = 0; i < G.nodeNum(); ++i) {
   396     check(G.index(G(i)) == i, "Wrong index");
   397   }
   398 
   399   for (NodeIt s(G); s != INVALID; ++s) {
   400     for (NodeIt t(G); t != INVALID; ++t) {
   401       Arc a = G.arc(s, t);
   402       check(G.source(a) == s && G.target(a) == t, "Wrong arc lookup");
   403     }
   404   }
   405 }
   406 
   407 void checkDigraphs() {
   408   { // Checking ListDigraph
   409     checkDigraphBuild<ListDigraph>();
   410     checkDigraphSplit<ListDigraph>();
   411     checkDigraphAlter<ListDigraph>();
   412     checkDigraphErase<ListDigraph>();
   413     checkDigraphSnapshot<ListDigraph>();
   414     checkDigraphValidityErase<ListDigraph>();
   415   }
   416   { // Checking SmartDigraph
   417     checkDigraphBuild<SmartDigraph>();
   418     checkDigraphSplit<SmartDigraph>();
   419     checkDigraphSnapshot<SmartDigraph>();
   420     checkDigraphValidity<SmartDigraph>();
   421   }
   422   { // Checking FullDigraph
   423     checkFullDigraph(8);
   424   }
   425 }
   426 
   427 int main() {
   428   checkDigraphs();
   429   checkConcepts();
   430   return 0;
   431 }