test/euler_test.cc
author Peter Kovacs <kpeter@inf.elte.hu>
Fri, 17 Apr 2009 18:04:36 +0200
changeset 609 e6927fe719e6
parent 522 22f932bbb305
child 592 2ebfdb89ec66
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.
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/* -*- mode: C++; indent-tabs-mode: nil; -*-
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 *
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 * This file is a part of LEMON, a generic C++ optimization library.
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 *
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 * Copyright (C) 2003-2009
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 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
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 * (Egervary Research Group on Combinatorial Optimization, EGRES).
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 *
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 * Permission to use, modify and distribute this software is granted
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 * provided that this copyright notice appears in all copies. For
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 * precise terms see the accompanying LICENSE file.
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 *
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 * This software is provided "AS IS" with no warranty of any kind,
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 * express or implied, and with no claim as to its suitability for any
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 * purpose.
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 *
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 */
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#include <lemon/euler.h>
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#include <lemon/list_graph.h>
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#include <test/test_tools.h>
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using namespace lemon;
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template <typename Digraph>
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void checkDiEulerIt(const Digraph& g)
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{
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  typename Digraph::template ArcMap<int> visitationNumber(g, 0);
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  DiEulerIt<Digraph> e(g);
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  typename Digraph::Node firstNode = g.source(e);
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  typename Digraph::Node lastNode = g.target(e);
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  for (; e != INVALID; ++e)
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  {
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    if (e != INVALID)
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    {
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      lastNode = g.target(e);
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    }
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    ++visitationNumber[e];
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  }
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  check(firstNode == lastNode,
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      "checkDiEulerIt: first and last node are not the same");
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  for (typename Digraph::ArcIt a(g); a != INVALID; ++a)
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  {
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    check(visitationNumber[a] == 1,
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        "checkDiEulerIt: not visited or multiple times visited arc found");
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  }
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}
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template <typename Graph>
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void checkEulerIt(const Graph& g)
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{
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  typename Graph::template EdgeMap<int> visitationNumber(g, 0);
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  EulerIt<Graph> e(g);
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  typename Graph::Node firstNode = g.u(e);
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  typename Graph::Node lastNode = g.v(e);
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  for (; e != INVALID; ++e)
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  {
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    if (e != INVALID)
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    {
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      lastNode = g.v(e);
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    }
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    ++visitationNumber[e];
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  }
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  check(firstNode == lastNode,
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      "checkEulerIt: first and last node are not the same");
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  for (typename Graph::EdgeIt e(g); e != INVALID; ++e)
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  {
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    check(visitationNumber[e] == 1,
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        "checkEulerIt: not visited or multiple times visited edge found");
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  }
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}
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int main()
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{
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  typedef ListDigraph Digraph;
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  typedef ListGraph Graph;
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  Digraph digraphWithEulerianCircuit;
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  {
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    Digraph& g = digraphWithEulerianCircuit;
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    Digraph::Node n0 = g.addNode();
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    Digraph::Node n1 = g.addNode();
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    Digraph::Node n2 = g.addNode();
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    g.addArc(n0, n1);
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    g.addArc(n1, n0);
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    g.addArc(n1, n2);
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    g.addArc(n2, n1);
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  }
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  Digraph digraphWithoutEulerianCircuit;
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  {
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    Digraph& g = digraphWithoutEulerianCircuit;
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    Digraph::Node n0 = g.addNode();
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    Digraph::Node n1 = g.addNode();
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    Digraph::Node n2 = g.addNode();
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    g.addArc(n0, n1);
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    g.addArc(n1, n0);
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    g.addArc(n1, n2);
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  }
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  Graph graphWithEulerianCircuit;
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  {
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    Graph& g = graphWithEulerianCircuit;
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    Graph::Node n0 = g.addNode();
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    Graph::Node n1 = g.addNode();
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    Graph::Node n2 = g.addNode();
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    g.addEdge(n0, n1);
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    g.addEdge(n1, n2);
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    g.addEdge(n2, n0);
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  }
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  Graph graphWithoutEulerianCircuit;
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  {
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    Graph& g = graphWithoutEulerianCircuit;
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    Graph::Node n0 = g.addNode();
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    Graph::Node n1 = g.addNode();
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    Graph::Node n2 = g.addNode();
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    g.addEdge(n0, n1);
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    g.addEdge(n1, n2);
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  }
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  checkDiEulerIt(digraphWithEulerianCircuit);
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  checkEulerIt(graphWithEulerianCircuit);
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  check(eulerian(digraphWithEulerianCircuit),
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      "this graph should have an Eulerian circuit");
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  check(!eulerian(digraphWithoutEulerianCircuit),
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      "this graph should not have an Eulerian circuit");
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  check(eulerian(graphWithEulerianCircuit),
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      "this graph should have an Eulerian circuit");
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  check(!eulerian(graphWithoutEulerianCircuit),
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      "this graph should have an Eulerian circuit");
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  return 0;
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}