/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Copyright (C) 2003-2008

 * 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 <set>

#include <vector>

#include <iterator>

#include <lemon/smart_graph.h>

#include <lemon/min_cost_arborescence.h>

#include <lemon/lgf_reader.h>

#include "test_tools.h"

using namespace lemon;

using namespace std;

const char test_lgf[] =

  "@nodes\n"

  "label\n"

  "0\n"

  "1\n"

  "2\n"

  "3\n"

  "4\n"

  "5\n"

  "6\n"

  "7\n"

  "8\n"

  "9\n"

  "@arcs\n"

  "     label  cost\n"

  "1 8  0      107\n"

  "0 3  1      70\n"

  "2 1  2      46\n"

  "4 1  3      28\n"

  "4 4  4      91\n"

  "3 9  5      76\n"

  "9 8  6      61\n"

  "8 1  7      39\n"

  "9 8  8      74\n"

  "8 0  9      39\n"

  "4 3  10     45\n"

  "2 2  11     34\n"

  "0 1  12     100\n"

  "6 3  13     95\n"

  "4 1  14     22\n"

  "1 1  15     31\n"

  "7 2  16     51\n"

  "2 6  17     29\n"

  "8 3  18     115\n"

  "6 9  19     32\n"

  "1 1  20     60\n"

  "0 3  21     40\n"

  "@attributes\n"

  "source 0\n";

int main() {

  typedef SmartDigraph Digraph;

  DIGRAPH_TYPEDEFS(Digraph);

  typedef Digraph::ArcMap<double> CostMap;

  Digraph digraph;

  CostMap cost(digraph);

  Node source;

  std::istringstream is(test_lgf);

  digraphReader(digraph, is).

    arcMap("cost", cost).

    node("source", source).run();

  MinCostArborescence<Digraph, CostMap> mca(digraph, cost);

  mca.run(source);

  vector<pair<double, set<Node> > > dualSolution(mca.dualNum());

  for (int i = 0; i < mca.dualNum(); ++i) {

    dualSolution[i].first = mca.dualValue(i);

    for (MinCostArborescence<Digraph, CostMap>::DualIt it(mca, i);

         it != INVALID; ++it) {

      dualSolution[i].second.insert(it);

    }

  }

  for (ArcIt it(digraph); it != INVALID; ++it) {

    if (mca.reached(digraph.source(it))) {

      double sum = 0.0;

      for (int i = 0; i < int(dualSolution.size()); ++i) {

        if (dualSolution[i].second.find(digraph.target(it))

            != dualSolution[i].second.end() &&

            dualSolution[i].second.find(digraph.source(it))

            == dualSolution[i].second.end()) {

          sum += dualSolution[i].first;

        }

      }

      if (mca.arborescence(it)) {

        check(sum == cost[it], "INVALID DUAL");

      }

      check(sum <= cost[it], "INVALID DUAL");

    }

  }

  check(mca.dualValue() == mca.arborescenceValue(), "INVALID DUAL");

  check(mca.reached(source), "INVALID ARBORESCENCE");

  for (ArcIt a(digraph); a != INVALID; ++a) {

    check(!mca.reached(digraph.source(a)) ||

          mca.reached(digraph.target(a)), "INVALID ARBORESCENCE");

  }

  for (NodeIt n(digraph); n != INVALID; ++n) {

    if (!mca.reached(n)) continue;

    int cnt = 0;

    for (InArcIt a(digraph, n); a != INVALID; ++a) {

      if (mca.arborescence(a)) {

        check(mca.pred(n) == a, "INVALID ARBORESCENCE");

        ++cnt;

      }

    }

    check((n == source ? cnt == 0 : cnt == 1), "INVALID ARBORESCENCE");

  }

  Digraph::ArcMap<bool> arborescence(digraph);

  check(mca.arborescenceValue() ==

        minCostArborescence(digraph, cost, source, arborescence),

        "WRONG FUNCTION");

  return 0;

}