deba@512: /* -*- mode: C++; indent-tabs-mode: nil; -*-
deba@512:  *
deba@512:  * This file is a part of LEMON, a generic C++ optimization library.
deba@512:  *
deba@512:  * Copyright (C) 2003-2008
deba@512:  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
deba@512:  * (Egervary Research Group on Combinatorial Optimization, EGRES).
deba@512:  *
deba@512:  * Permission to use, modify and distribute this software is granted
deba@512:  * provided that this copyright notice appears in all copies. For
deba@512:  * precise terms see the accompanying LICENSE file.
deba@512:  *
deba@512:  * This software is provided "AS IS" with no warranty of any kind,
deba@512:  * express or implied, and with no claim as to its suitability for any
deba@512:  * purpose.
deba@512:  *
deba@512:  */
deba@512: 
deba@512: #include <iostream>
deba@512: #include <set>
deba@512: #include <vector>
deba@512: #include <iterator>
deba@512: 
deba@512: #include <lemon/smart_graph.h>
deba@512: #include <lemon/min_cost_arborescence.h>
deba@512: #include <lemon/lgf_reader.h>
deba@512: 
deba@512: #include "test_tools.h"
deba@512: 
deba@512: using namespace lemon;
deba@512: using namespace std;
deba@512: 
deba@512: const char test_lgf[] =
deba@512:   "@nodes\n"
deba@512:   "label\n"
deba@512:   "0\n"
deba@512:   "1\n"
deba@512:   "2\n"
deba@512:   "3\n"
deba@512:   "4\n"
deba@512:   "5\n"
deba@512:   "6\n"
deba@512:   "7\n"
deba@512:   "8\n"
deba@512:   "9\n"
deba@512:   "@arcs\n"
deba@512:   "     label  cost\n"
deba@512:   "1 8  0      107\n"
deba@512:   "0 3  1      70\n"
deba@512:   "2 1  2      46\n"
deba@512:   "4 1  3      28\n"
deba@512:   "4 4  4      91\n"
deba@512:   "3 9  5      76\n"
deba@512:   "9 8  6      61\n"
deba@512:   "8 1  7      39\n"
deba@512:   "9 8  8      74\n"
deba@512:   "8 0  9      39\n"
deba@512:   "4 3  10     45\n"
deba@512:   "2 2  11     34\n"
deba@512:   "0 1  12     100\n"
deba@512:   "6 3  13     95\n"
deba@512:   "4 1  14     22\n"
deba@512:   "1 1  15     31\n"
deba@512:   "7 2  16     51\n"
deba@512:   "2 6  17     29\n"
deba@512:   "8 3  18     115\n"
deba@512:   "6 9  19     32\n"
deba@512:   "1 1  20     60\n"
deba@512:   "0 3  21     40\n"
deba@512:   "@attributes\n"
deba@512:   "source 0\n";
deba@512: 
deba@512: int main() {
deba@512:   typedef SmartDigraph Digraph;
deba@512:   DIGRAPH_TYPEDEFS(Digraph);
deba@512: 
deba@512:   typedef Digraph::ArcMap<double> CostMap;
deba@512: 
deba@512:   Digraph digraph;
deba@512:   CostMap cost(digraph);
deba@512:   Node source;
deba@512: 
deba@512:   std::istringstream is(test_lgf);
deba@512:   digraphReader(digraph, is).
deba@512:     arcMap("cost", cost).
deba@512:     node("source", source).run();
deba@512: 
deba@512:   MinCostArborescence<Digraph, CostMap> mca(digraph, cost);
deba@512:   mca.run(source);
deba@512: 
deba@512:   vector<pair<double, set<Node> > > dualSolution(mca.dualNum());
deba@512: 
deba@512:   for (int i = 0; i < mca.dualNum(); ++i) {
deba@512:     dualSolution[i].first = mca.dualValue(i);
deba@512:     for (MinCostArborescence<Digraph, CostMap>::DualIt it(mca, i);
deba@512:          it != INVALID; ++it) {
deba@512:       dualSolution[i].second.insert(it);
deba@512:     }
deba@512:   }
deba@512: 
deba@512:   for (ArcIt it(digraph); it != INVALID; ++it) {
deba@512:     if (mca.reached(digraph.source(it))) {
deba@512:       double sum = 0.0;
deba@512:       for (int i = 0; i < int(dualSolution.size()); ++i) {
deba@512:         if (dualSolution[i].second.find(digraph.target(it))
deba@512:             != dualSolution[i].second.end() &&
deba@512:             dualSolution[i].second.find(digraph.source(it))
deba@512:             == dualSolution[i].second.end()) {
deba@512:           sum += dualSolution[i].first;
deba@512:         }
deba@512:       }
deba@512:       if (mca.arborescence(it)) {
deba@512:         check(sum == cost[it], "INVALID DUAL");
deba@512:       }
deba@512:       check(sum <= cost[it], "INVALID DUAL");
deba@512:     }
deba@512:   }
deba@512: 
deba@512: 
deba@512:   check(mca.dualValue() == mca.arborescenceValue(), "INVALID DUAL");
deba@512: 
deba@512:   check(mca.reached(source), "INVALID ARBORESCENCE");
deba@512:   for (ArcIt a(digraph); a != INVALID; ++a) {
deba@512:     check(!mca.reached(digraph.source(a)) ||
deba@512:           mca.reached(digraph.target(a)), "INVALID ARBORESCENCE");
deba@512:   }
deba@512: 
deba@512:   for (NodeIt n(digraph); n != INVALID; ++n) {
deba@512:     if (!mca.reached(n)) continue;
deba@512:     int cnt = 0;
deba@512:     for (InArcIt a(digraph, n); a != INVALID; ++a) {
deba@512:       if (mca.arborescence(a)) {
deba@512:         check(mca.pred(n) == a, "INVALID ARBORESCENCE");
deba@512:         ++cnt;
deba@512:       }
deba@512:     }
deba@512:     check((n == source ? cnt == 0 : cnt == 1), "INVALID ARBORESCENCE");
deba@512:   }
deba@512: 
deba@512:   Digraph::ArcMap<bool> arborescence(digraph);
deba@512:   check(mca.arborescenceValue() ==
deba@512:         minCostArborescence(digraph, cost, source, arborescence),
deba@512:         "WRONG FUNCTION");
deba@512: 
deba@512:   return 0;
deba@512: }