Location: LEMON/LEMON-official/test/circulation_test.cc - annotation

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kpeter (Peter Kovacs)
Entirely rework CapacityScaling (#180) - Use the new interface similarly to NetworkSimplex. - Rework the implementation using an efficient internal structure for handling the residual network. This improvement made the code much faster (up to 2-5 times faster on large graphs). - Handle GEQ supply type (LEQ is not supported). - Handle negative costs for arcs of finite capacity. (Note that this algorithm cannot handle arcs of negative cost and infinite upper bound, thus it returns UNBOUNDED if such an arc exists.) - Extend the documentation.
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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 <iostream>

#include "test_tools.h"
#include <lemon/list_graph.h>
#include <lemon/circulation.h>
#include <lemon/lgf_reader.h>
#include <lemon/concepts/digraph.h>
#include <lemon/concepts/maps.h>

using namespace lemon;

char test_lgf[] =
  "@nodes\n"
  "label\n"
  "0\n"
  "1\n"
  "2\n"
  "3\n"
  "4\n"
  "5\n"
  "@arcs\n"
  "     lcap  ucap\n"
  "0 1  2  10\n"
  "0 2  2  6\n"
  "1 3  4  7\n"
  "1 4  0  5\n"
  "2 4  1  3\n"
  "3 5  3  8\n"
  "4 5  3  7\n"
  "@attributes\n"
  "source 0\n"
  "sink   5\n";

void checkCirculationCompile()
{
  typedef int VType;
  typedef concepts::Digraph Digraph;

  typedef Digraph::Node Node;
  typedef Digraph::Arc Arc;
  typedef concepts::ReadMap<Arc,VType> CapMap;
  typedef concepts::ReadMap<Node,VType> SupplyMap;
  typedef concepts::ReadWriteMap<Arc,VType> FlowMap;
  typedef concepts::WriteMap<Node,bool> BarrierMap;

  typedef Elevator<Digraph, Digraph::Node> Elev;
  typedef LinkedElevator<Digraph, Digraph::Node> LinkedElev;

  Digraph g;
  Node n;
  Arc a;
  CapMap lcap, ucap;
  SupplyMap supply;
  FlowMap flow;
  BarrierMap bar;
  VType v;
  bool b;

  typedef Circulation<Digraph, CapMap, CapMap, SupplyMap>
            ::SetFlowMap<FlowMap>
            ::SetElevator<Elev>
            ::SetStandardElevator<LinkedElev>
            ::Create CirculationType;
  CirculationType circ_test(g, lcap, ucap, supply);
  const CirculationType& const_circ_test = circ_test;
   
  circ_test
    .lowerMap(lcap)
    .upperMap(ucap)
    .supplyMap(supply)
    .flowMap(flow);
  
  const CirculationType::Elevator& elev = const_circ_test.elevator();
  circ_test.elevator(const_cast<CirculationType::Elevator&>(elev));
  CirculationType::Tolerance tol = const_circ_test.tolerance();
  circ_test.tolerance(tol);

  circ_test.init();
  circ_test.greedyInit();
  circ_test.start();
  circ_test.run();

  v = const_circ_test.flow(a);
  const FlowMap& fm = const_circ_test.flowMap();
  b = const_circ_test.barrier(n);
  const_circ_test.barrierMap(bar);
  
  ignore_unused_variable_warning(fm);
}

template <class G, class LM, class UM, class DM>
void checkCirculation(const G& g, const LM& lm, const UM& um,
                      const DM& dm, bool find)
{
  Circulation<G, LM, UM, DM> circ(g, lm, um, dm);
  bool ret = circ.run();
  if (find) {
    check(ret, "A feasible solution should have been found.");
    check(circ.checkFlow(), "The found flow is corrupt.");
    check(!circ.checkBarrier(), "A barrier should not have been found.");
  } else {
    check(!ret, "A feasible solution should not have been found.");
    check(circ.checkBarrier(), "The found barrier is corrupt.");
  }
}

int main (int, char*[])
{
  typedef ListDigraph Digraph;
  DIGRAPH_TYPEDEFS(Digraph);

  Digraph g;
  IntArcMap lo(g), up(g);
  IntNodeMap delta(g, 0);
  Node s, t;

  std::istringstream input(test_lgf);
  DigraphReader<Digraph>(g,input).
    arcMap("lcap", lo).
    arcMap("ucap", up).
    node("source",s).
    node("sink",t).
    run();

  delta[s] = 7; delta[t] = -7;
  checkCirculation(g, lo, up, delta, true);

  delta[s] = 13; delta[t] = -13;
  checkCirculation(g, lo, up, delta, true);

  delta[s] = 6; delta[t] = -6;
  checkCirculation(g, lo, up, delta, false);

  delta[s] = 14; delta[t] = -14;
  checkCirculation(g, lo, up, delta, false);

  delta[s] = 7; delta[t] = -13;
  checkCirculation(g, lo, up, delta, true);

  delta[s] = 5; delta[t] = -15;
  checkCirculation(g, lo, up, delta, true);

  delta[s] = 10; delta[t] = -11;
  checkCirculation(g, lo, up, delta, true);

  delta[s] = 11; delta[t] = -10;
  checkCirculation(g, lo, up, delta, false);

  return 0;
}