deba@522: /* -*- mode: C++; indent-tabs-mode: nil; -*-
deba@522:  *
deba@522:  * This file is a part of LEMON, a generic C++ optimization library.
deba@522:  *
deba@522:  * Copyright (C) 2003-2008
deba@522:  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
deba@522:  * (Egervary Research Group on Combinatorial Optimization, EGRES).
deba@522:  *
deba@522:  * Permission to use, modify and distribute this software is granted
deba@522:  * provided that this copyright notice appears in all copies. For
deba@522:  * precise terms see the accompanying LICENSE file.
deba@522:  *
deba@522:  * This software is provided "AS IS" with no warranty of any kind,
deba@522:  * express or implied, and with no claim as to its suitability for any
deba@522:  * purpose.
deba@522:  *
deba@522:  */
deba@522: 
deba@522: #include <iostream>
deba@522: #include <set>
deba@522: #include <vector>
deba@522: #include <iterator>
deba@522: 
deba@522: #include <lemon/smart_graph.h>
deba@522: #include <lemon/min_cost_arborescence.h>
deba@522: #include <lemon/lgf_reader.h>
kpeter@672: #include <lemon/concepts/digraph.h>
deba@522: 
deba@522: #include "test_tools.h"
deba@522: 
deba@522: using namespace lemon;
deba@522: using namespace std;
deba@522: 
deba@522: const char test_lgf[] =
deba@522:   "@nodes\n"
deba@522:   "label\n"
deba@522:   "0\n"
deba@522:   "1\n"
deba@522:   "2\n"
deba@522:   "3\n"
deba@522:   "4\n"
deba@522:   "5\n"
deba@522:   "6\n"
deba@522:   "7\n"
deba@522:   "8\n"
deba@522:   "9\n"
deba@522:   "@arcs\n"
deba@522:   "     label  cost\n"
deba@522:   "1 8  0      107\n"
deba@522:   "0 3  1      70\n"
deba@522:   "2 1  2      46\n"
deba@522:   "4 1  3      28\n"
deba@522:   "4 4  4      91\n"
deba@522:   "3 9  5      76\n"
deba@522:   "9 8  6      61\n"
deba@522:   "8 1  7      39\n"
deba@522:   "9 8  8      74\n"
deba@522:   "8 0  9      39\n"
deba@522:   "4 3  10     45\n"
deba@522:   "2 2  11     34\n"
deba@522:   "0 1  12     100\n"
deba@522:   "6 3  13     95\n"
deba@522:   "4 1  14     22\n"
deba@522:   "1 1  15     31\n"
deba@522:   "7 2  16     51\n"
deba@522:   "2 6  17     29\n"
deba@522:   "8 3  18     115\n"
deba@522:   "6 9  19     32\n"
deba@522:   "1 1  20     60\n"
deba@522:   "0 3  21     40\n"
deba@522:   "@attributes\n"
deba@522:   "source 0\n";
deba@522: 
kpeter@672: 
kpeter@672: void checkMinCostArborescenceCompile()
kpeter@672: {
kpeter@672:   typedef double VType;
kpeter@672:   typedef concepts::Digraph Digraph;
kpeter@672:   typedef concepts::ReadMap<Digraph::Arc, VType> CostMap;
kpeter@672:   typedef Digraph::Node Node;
kpeter@672:   typedef Digraph::Arc Arc;
kpeter@672:   typedef concepts::WriteMap<Digraph::Arc, bool> ArbMap;
kpeter@672:   typedef concepts::ReadWriteMap<Digraph::Node, Digraph::Arc> PredMap;
kpeter@672: 
kpeter@672:   typedef MinCostArborescence<Digraph, CostMap>::
kpeter@672:             SetArborescenceMap<ArbMap>::
kpeter@672:             SetPredMap<PredMap>::Create MinCostArbType;
kpeter@672: 
kpeter@672:   Digraph g;
kpeter@672:   Node s, n;
kpeter@672:   Arc e;
kpeter@672:   VType c;
kpeter@672:   bool b;
alpar@1257:   ::lemon::ignore_unused_variable_warning(c,b);
kpeter@672:   int i;
kpeter@672:   CostMap cost;
kpeter@672:   ArbMap arb;
kpeter@672:   PredMap pred;
kpeter@672: 
kpeter@672:   MinCostArbType mcarb_test(g, cost);
kpeter@672:   const MinCostArbType& const_mcarb_test = mcarb_test;
kpeter@672: 
kpeter@672:   mcarb_test
kpeter@672:     .arborescenceMap(arb)
kpeter@672:     .predMap(pred)
kpeter@672:     .run(s);
kpeter@672: 
kpeter@672:   mcarb_test.init();
kpeter@672:   mcarb_test.addSource(s);
kpeter@672:   mcarb_test.start();
kpeter@672:   n = mcarb_test.processNextNode();
kpeter@672:   b = const_mcarb_test.emptyQueue();
kpeter@672:   i = const_mcarb_test.queueSize();
kpeter@672:   
kpeter@672:   c = const_mcarb_test.arborescenceCost();
kpeter@672:   b = const_mcarb_test.arborescence(e);
kpeter@672:   e = const_mcarb_test.pred(n);
kpeter@672:   const MinCostArbType::ArborescenceMap &am =
kpeter@672:     const_mcarb_test.arborescenceMap();
kpeter@672:   const MinCostArbType::PredMap &pm =
kpeter@672:     const_mcarb_test.predMap();
kpeter@672:   b = const_mcarb_test.reached(n);
kpeter@672:   b = const_mcarb_test.processed(n);
kpeter@672:   
kpeter@672:   i = const_mcarb_test.dualNum();
kpeter@672:   c = const_mcarb_test.dualValue();
kpeter@672:   i = const_mcarb_test.dualSize(i);
kpeter@672:   c = const_mcarb_test.dualValue(i);
kpeter@672:   
alpar@1257:   ::lemon::ignore_unused_variable_warning(am);
alpar@1257:   ::lemon::ignore_unused_variable_warning(pm);
kpeter@672: }
kpeter@672: 
deba@522: int main() {
deba@522:   typedef SmartDigraph Digraph;
deba@522:   DIGRAPH_TYPEDEFS(Digraph);
deba@522: 
deba@522:   typedef Digraph::ArcMap<double> CostMap;
deba@522: 
deba@522:   Digraph digraph;
deba@522:   CostMap cost(digraph);
deba@522:   Node source;
deba@522: 
deba@522:   std::istringstream is(test_lgf);
deba@522:   digraphReader(digraph, is).
deba@522:     arcMap("cost", cost).
deba@522:     node("source", source).run();
deba@522: 
deba@522:   MinCostArborescence<Digraph, CostMap> mca(digraph, cost);
deba@522:   mca.run(source);
deba@522: 
deba@522:   vector<pair<double, set<Node> > > dualSolution(mca.dualNum());
deba@522: 
deba@522:   for (int i = 0; i < mca.dualNum(); ++i) {
deba@522:     dualSolution[i].first = mca.dualValue(i);
deba@522:     for (MinCostArborescence<Digraph, CostMap>::DualIt it(mca, i);
deba@522:          it != INVALID; ++it) {
deba@522:       dualSolution[i].second.insert(it);
deba@522:     }
deba@522:   }
deba@522: 
deba@522:   for (ArcIt it(digraph); it != INVALID; ++it) {
deba@522:     if (mca.reached(digraph.source(it))) {
deba@522:       double sum = 0.0;
deba@522:       for (int i = 0; i < int(dualSolution.size()); ++i) {
deba@522:         if (dualSolution[i].second.find(digraph.target(it))
deba@522:             != dualSolution[i].second.end() &&
deba@522:             dualSolution[i].second.find(digraph.source(it))
deba@522:             == dualSolution[i].second.end()) {
deba@522:           sum += dualSolution[i].first;
deba@522:         }
deba@522:       }
deba@522:       if (mca.arborescence(it)) {
kpeter@672:         check(sum == cost[it], "Invalid dual solution");
deba@522:       }
kpeter@672:       check(sum <= cost[it], "Invalid dual solution");
deba@522:     }
deba@522:   }
deba@522: 
deba@522: 
kpeter@672:   check(mca.dualValue() == mca.arborescenceCost(), "Invalid dual solution");
deba@522: 
kpeter@672:   check(mca.reached(source), "Invalid arborescence");
deba@522:   for (ArcIt a(digraph); a != INVALID; ++a) {
deba@522:     check(!mca.reached(digraph.source(a)) ||
kpeter@672:           mca.reached(digraph.target(a)), "Invalid arborescence");
deba@522:   }
deba@522: 
deba@522:   for (NodeIt n(digraph); n != INVALID; ++n) {
deba@522:     if (!mca.reached(n)) continue;
deba@522:     int cnt = 0;
deba@522:     for (InArcIt a(digraph, n); a != INVALID; ++a) {
deba@522:       if (mca.arborescence(a)) {
kpeter@672:         check(mca.pred(n) == a, "Invalid arborescence");
deba@522:         ++cnt;
deba@522:       }
deba@522:     }
kpeter@672:     check((n == source ? cnt == 0 : cnt == 1), "Invalid arborescence");
deba@522:   }
deba@522: 
deba@522:   Digraph::ArcMap<bool> arborescence(digraph);
kpeter@672:   check(mca.arborescenceCost() ==
deba@522:         minCostArborescence(digraph, cost, source, arborescence),
kpeter@672:         "Wrong result of the function interface");
deba@522: 
deba@522:   return 0;
deba@522: }