Location: LEMON/LEMON-main/test/euler_test.cc - annotation

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kpeter (Peter Kovacs)
Use XTI implementation instead of ATI in NetworkSimplex (#234) XTI (eXtended Threaded Index) is an imporved version of the widely known ATI (Augmented Threaded Index) method for storing and updating the spanning tree structure in Network Simplex algorithms. In the ATI data structure three indices are stored for each node: predecessor, thread and depth. In the XTI data structure depth is replaced by the number of successors and the last successor (according to the thread index).
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/* -*- mode: C++; indent-tabs-mode: nil; -*-
 *
 * This file is a part of LEMON, a generic C++ optimization library.
 *
 * Copyright (C) 2003-2009
 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 * (Egervary Research Group on Combinatorial Optimization, EGRES).
 *
 * Permission to use, modify and distribute this software is granted
 * provided that this copyright notice appears in all copies. For
 * precise terms see the accompanying LICENSE file.
 *
 * This software is provided "AS IS" with no warranty of any kind,
 * express or implied, and with no claim as to its suitability for any
 * purpose.
 *
 */

#include <lemon/euler.h>
#include <lemon/list_graph.h>
#include <test/test_tools.h>

using namespace lemon;

template <typename Digraph>
void checkDiEulerIt(const Digraph& g)
{
  typename Digraph::template ArcMap<int> visitationNumber(g, 0);

  DiEulerIt<Digraph> e(g);
  typename Digraph::Node firstNode = g.source(e);
  typename Digraph::Node lastNode = g.target(e);

  for (; e != INVALID; ++e)
  {
    if (e != INVALID)
    {
      lastNode = g.target(e);
    }
    ++visitationNumber[e];
  }

  check(firstNode == lastNode,
      "checkDiEulerIt: first and last node are not the same");

  for (typename Digraph::ArcIt a(g); a != INVALID; ++a)
  {
    check(visitationNumber[a] == 1,
        "checkDiEulerIt: not visited or multiple times visited arc found");
  }
}

template <typename Graph>
void checkEulerIt(const Graph& g)
{
  typename Graph::template EdgeMap<int> visitationNumber(g, 0);

  EulerIt<Graph> e(g);
  typename Graph::Node firstNode = g.u(e);
  typename Graph::Node lastNode = g.v(e);

  for (; e != INVALID; ++e)
  {
    if (e != INVALID)
    {
      lastNode = g.v(e);
    }
    ++visitationNumber[e];
  }

  check(firstNode == lastNode,
      "checkEulerIt: first and last node are not the same");

  for (typename Graph::EdgeIt e(g); e != INVALID; ++e)
  {
    check(visitationNumber[e] == 1,
        "checkEulerIt: not visited or multiple times visited edge found");
  }
}

int main()
{
  typedef ListDigraph Digraph;
  typedef ListGraph Graph;

  Digraph digraphWithEulerianCircuit;
  {
    Digraph& g = digraphWithEulerianCircuit;

    Digraph::Node n0 = g.addNode();
    Digraph::Node n1 = g.addNode();
    Digraph::Node n2 = g.addNode();

    g.addArc(n0, n1);
    g.addArc(n1, n0);
    g.addArc(n1, n2);
    g.addArc(n2, n1);
  }

  Digraph digraphWithoutEulerianCircuit;
  {
    Digraph& g = digraphWithoutEulerianCircuit;

    Digraph::Node n0 = g.addNode();
    Digraph::Node n1 = g.addNode();
    Digraph::Node n2 = g.addNode();

    g.addArc(n0, n1);
    g.addArc(n1, n0);
    g.addArc(n1, n2);
  }

  Graph graphWithEulerianCircuit;
  {
    Graph& g = graphWithEulerianCircuit;

    Graph::Node n0 = g.addNode();
    Graph::Node n1 = g.addNode();
    Graph::Node n2 = g.addNode();

    g.addEdge(n0, n1);
    g.addEdge(n1, n2);
    g.addEdge(n2, n0);
  }

  Graph graphWithoutEulerianCircuit;
  {
    Graph& g = graphWithoutEulerianCircuit;

    Graph::Node n0 = g.addNode();
    Graph::Node n1 = g.addNode();
    Graph::Node n2 = g.addNode();

    g.addEdge(n0, n1);
    g.addEdge(n1, n2);
  }

  checkDiEulerIt(digraphWithEulerianCircuit);

  checkEulerIt(graphWithEulerianCircuit);

  check(eulerian(digraphWithEulerianCircuit),
      "this graph should have an Eulerian circuit");
  check(!eulerian(digraphWithoutEulerianCircuit),
      "this graph should not have an Eulerian circuit");

  check(eulerian(graphWithEulerianCircuit),
      "this graph should have an Eulerian circuit");
  check(!eulerian(graphWithoutEulerianCircuit),
      "this graph should have an Eulerian circuit");

  return 0;
}