[Lemon-commits] [lemon_svn] alpar: r1105 - in hugo/trunk/src: hugo test work/johanna

Lemon SVN svn at lemon.cs.elte.hu
Mon Nov 6 20:43:16 CET 2006


Author: alpar
Date: Mon Sep  6 19:12:00 2004
New Revision: 1105

Added:
   hugo/trunk/src/hugo/kruskal.h
      - copied, changed from r1093, /hugo/trunk/src/work/johanna/kruskal.h
   hugo/trunk/src/test/kruskal_test.cc
      - copied, changed from r1093, /hugo/trunk/src/work/johanna/kruskal_test.cc
Removed:
   hugo/trunk/src/work/johanna/kruskal.h
Modified:
   hugo/trunk/src/hugo/Makefile.am
   hugo/trunk/src/hugo/unionfind.h
   hugo/trunk/src/test/Makefile.am

Log:
Kruskal alg. (src/hugo/kruskal.h, src/test/kruskal_test.cc) is (almost) done.
- Some input adaptor is still missing.
- The class and function names should be revised.
- Docs still needs some improvement.

Modified: hugo/trunk/src/hugo/Makefile.am
==============================================================================
--- hugo/trunk/src/hugo/Makefile.am	(original)
+++ hugo/trunk/src/hugo/Makefile.am	Mon Sep  6 19:12:00 2004
@@ -11,6 +11,7 @@
 	full_graph.h							\
 	graph_wrapper.h							\
 	invalid.h							\
+	kruskal.h							\
 	list_graph.h							\
 	map_defines.h                                                   \
 	map_registry.h                                                  \

Copied: hugo/trunk/src/hugo/kruskal.h (from r1093, /hugo/trunk/src/work/johanna/kruskal.h)
==============================================================================
--- /hugo/trunk/src/work/johanna/kruskal.h	(original)
+++ hugo/trunk/src/hugo/kruskal.h	Mon Sep  6 19:12:00 2004
@@ -7,14 +7,19 @@
 
 /**
 @defgroup spantree Minimum Cost Spanning Tree Algorithms
+ at ingroup galgs
 \brief This group containes the algorithms for finding a minimum cost spanning
 tree in a graph
- at ingroup galgs
+
+This group containes the algorithms for finding a minimum cost spanning
+tree in a graph
 */
 
 ///\ingroup spantree
 ///\file
 ///\brief Kruskal's algorithm to compute a minimum cost tree
+///
+///Kruskal's algorithm to compute a minimum cost tree.
 
 namespace hugo {
 
@@ -24,21 +29,27 @@
   /// Kruskal's algorithm to find a minimum cost tree of a graph.
 
   /// This function runs Kruskal's algorithm to find a minimum cost tree.
-  /// \param G The graph the algorithm runs on.
+  /// \param G The graph the algorithm runs on. The algorithm considers the
+  /// graph to be undirected, the direction of the edges are not used.
+  ///
   /// \param in This object is used to describe the edge costs. It must
-  /// be an STL 'forward container'
-  /// with value_type <tt> std::pair<Graph::Edge,X> </tt>,
+  /// be an STL compatible 'Forward Container'
+  /// with <tt>std::pair<Graph::Edge,X></tt> as its <tt>value_type</tt>,
   /// where X is the type of the costs. It must contain every edge in
   /// cost-ascending order.
-  /// \retval out This must be a writeable EdgeMap. After running the algorithm
-  /// this will contain the found minimum cost spanning tree: the value of an
-  /// edge will be set to \c true if it belongs to the tree, otherwise it will
-  /// be set to \c false. The value of each edge will be set exactly once.\n
-  /// For the sake of simplicity, there is a helper class KruskalPairVec,
+  ///\par
+  /// For the sake of simplicity, there is a helper class KruskalMapInput,
   /// which converts a
-  /// simple EdgeMap to an input of this form. Alternatively, you can use
+  /// simple edge map to an input of this form. Alternatively, you can use
   /// the function \ref kruskalEdgeMap to compute the minimum cost tree if
-  /// the edge costs are given by an EdgeMap.
+  /// the edge costs are given by an edge map.
+  ///
+  /// \retval out This must be a writable \c bool edge map.
+  /// After running the algorithm
+  /// this will contain the found minimum cost spanning tree: the value of an
+  /// edge will be set to \c true if it belongs to the tree, otherwise it will
+  /// be set to \c false. The value of each edge will be set exactly once.
+  ///
   /// \return The cost of the found tree.
 
   template <typename Graph, typename InputEdgeOrder, typename OutBoolMap>
@@ -70,6 +81,8 @@
 
   /* A work-around for running Kruskal with const-reference bool maps... */
 
+  ///\bug What is this? Or why doesn't it works?
+  ///
   template<typename Map>
   class NonConstMapWr {
     const Map &m;
@@ -92,41 +105,24 @@
     return kruskal(G, edges, map_wr);
   }  
 
-  
-  /* ** ** Output-objektumok: egyszeruen extra bool mapek ** ** */
-  
-  /// A writable bool-map that makes a sequence of "true" keys
-
-  /// A writable bool-map that creates a sequence out of keys that receives
-  /// the value "true".
-  /// \warning Not a regular property map, as it doesn't know its KeyType
-
-  template<typename Iterator>
-  class SequenceOutput {
-    mutable Iterator it;
-
-  public:
-    typedef bool ValueType;
-
-    SequenceOutput(Iterator const &_it) : it(_it) {}
-
-    template<typename KeyType>
-    void set(KeyType const& k, bool v) const { if(v) {*it=k; ++it;} }
-  };
-
-  template<typename Iterator>
-  inline
-  SequenceOutput<Iterator>
-  makeSequenceOutput(Iterator it) {
-    return SequenceOutput<Iterator>(it);
-  }
-
-  /* ** ** InputSource -ok ** ** */
+  /* ** ** Input-objects ** ** */
 
   /// Kruskal input source.
 
   /// Kruskal input source.
   ///
+  /// In most cases you possibly want to use the \ref kruskalEdgeMap() instead.
+  ///
+  /// \sa makeKruskalMapInput()
+  ///
+  ///\param Graph The type of the graph the algorithm runs on.
+  ///\param Map An edge map containing the cost of the edges.
+  ///\par
+  ///The cost type can be any type satisfying
+  ///the STL 'LessThan comparable'
+  ///concept if it also has an operator+() implemented. (It is necessary for
+  ///computing the total cost of the tree).
+  ///
   template<typename Graph, typename Map>
   class KruskalMapInput
     : public std::vector< std::pair<typename Graph::Edge,
@@ -136,11 +132,6 @@
     typedef std::vector< std::pair<typename Graph::Edge,
 				   typename Map::ValueType> > Parent;
     typedef typename Parent::value_type value_type;
-//     typedef Key KeyType;
-//     typedef Val ValueType;
-//     typedef std::pair<Key,Val> PairType;
-//     typedef typename Parent::iterator iterator;
-//     typedef typename Parent::const_iterator const_iterator;
 
   private:
     class comparePair {
@@ -153,155 +144,157 @@
 
   public:
 
-    // FIXME: kell ez?
-    // KruskalMapInput(Parent const& p) : Parent(p) {}
-    
     void sort() {
       std::sort(this->begin(), this->end(), comparePair());
     }
 
-    // FIXME: nem nagyon illik ez ide...
     KruskalMapInput(Graph const& G, Map const& m) {
       typedef typename Graph::EdgeIt EdgeIt;
       
       this->clear();
-      for(EdgeIt e(G);G.valid(e);G.next(e)) {
-	// for (EdgeIt e=G.template first<EdgeIt>(); G.valid(e); G.next(e)) {
-	push_back(make_pair(e, m[e]));
-      }
+      for(EdgeIt e(G);e!=INVALID;++e) push_back(make_pair(e, m[e]));
       sort();
     }
-
-//     Key const& first(const_iterator i) const { return i->first; }
-//     Key& first(iterator i) { return i->first; }
-
-//     Val const& second(const_iterator i) const { return i->second; }
-//     Val& second(iterator i) { return i->second; }
   };
 
+  /// Creates a KruskalMapInput object for \ref kruskal()
 
-//   template<typename Graph, typename Map>
-//   class KruskalMapVec {
-//   public:
-    
-//     typedef std::pair<typename Map::KeyType, Map::ValueType> value_type;
-    
-//     typedef std::vector<KeyType> Container;
-//     Container container;
-//     std::vector<typename Map::KeyType> container
-//     const Map &m;
-    
-    
-//     class iterator
-//     {
-//       Container::iterator i;
-//     public:
-//       iterator &operator ++() {++i;return *this;}
-//       valuetype operator *() {return value_type(container(i),m[container(i)]);}
-//       bool operator==(iterator b) {return i==b.i;}
-//       iterator() {}
-//       iterator(Container::iterator _i) i(_i) {}
-//     };
-//     class const_iterator
-//     {
-//       Container::const_iterator i;
-//     public:
-//       iterator &operator ++() {++i;return *this;}
-//       valuetype operator *() {return value_type(container(i),m[container(i)]);}
-//       bool operator==(iterator b) {return i==b.i;}
-//       const_iterator() {}
-//       const_iterator(Container::iterator _i) i(_i) {}
-//     };
-
-//     iterator begin() { return iterator(container.begin());}
-//     const_iterator begin() const { return iterator(container.begin());}
-//     iterator end() { return iterator(container.end());}
-//     const_iterator end() const { return iterator(container.end());}
-    
-//   private:
-    
-//     class compareKeys {
-//       const Map &m;
-//     public:
-//       compareKeys(Map const &_m) : m(_m) {}
-//       bool operator()(KeyType const& a, KeyType const& b) {
-// 	return m[a] < m[b];
-//       }
-//     };
-
-//   public:
-
-//     KruskalMapVec(Map const& _m) : m(_m) {}
+  /// It makes is easier to use 
+  /// \ref KruskalMapInput by making it unnecessary 
+  /// to explicitly give the type of the parameters.
+  ///
+  /// In most cases you possibly
+  /// want to use the function kruskalEdgeMap() instead.
+  ///
+  ///\param G The type of the graph the algorithm runs on.
+  ///\param m An edge map containing the cost of the edges.
+  ///\par
+  ///The cost type can be any type satisfying the
+  ///STL 'LessThan Comparable'
+  ///concept if it also has an operator+() implemented. (It is necessary for
+  ///computing the total cost of the tree).
+  ///
+  ///\return An appropriate input source for \ref kruskal().
+  ///
+  template<typename Graph, typename Map>
+  inline
+  KruskalMapInput<Graph,Map> makeKruskalMapInput(const Graph &G,const Map &m)
+  {
+    return KruskalMapInput<Graph,Map>(G,m);
+  }
+  
+  
+  /* ** ** Output-objects: simple writable bool maps** ** */
+  
+  /// A writable bool-map that makes a sequence of "true" keys
 
-//     void sort() {
-//       std::sort(begin(), end(), compareKeys(m));
-//     }
+  /// A writable bool-map that creates a sequence out of keys that receives
+  /// the value "true".
+  /// \warning Not a regular property map, as it doesn't know its KeyType
+  /// \bug Missing documentation.
+  /// \todo This class may be of wider usage, therefore it could move to
+  /// <tt>maps.h</tt>
+  template<typename Iterator>
+  class SequenceOutput {
+    mutable Iterator it;
 
-//     // FIXME: nem nagyon illik ez ide...
-//     template<typename Graph>
-//     KruskalMapVec(Graph const& G, Map const& _m) : m(_m) {
-//       typedef typename Graph::EdgeIt EdgeIt;
+  public:
+    typedef bool ValueType;
 
-//       clear();
-//       for(EdgeIt e(G);G.valid(e);G.next(e)) {
-//       // for (EdgeIt e=G.template first<EdgeIt>(); G.valid(e); G.next(e)) 
-// 	push_back(e);
-//       }
-//       sort();
-//     }
+    SequenceOutput(Iterator const &_it) : it(_it) {}
 
-//     KeyType const& first(const_iterator i) const { return *i; }
-//     KeyType& first(iterator i) { return *i; }
+    template<typename KeyType>
+    void set(KeyType const& k, bool v) const { if(v) {*it=k; ++it;} }
+  };
 
-//     ValueType const& second(const_iterator i) const { return m[*i]; }
-//     ValueType& second(iterator i) { return m[*i]; }
-//   };
+  template<typename Iterator>
+  inline
+  SequenceOutput<Iterator>
+  makeSequenceOutput(Iterator it) {
+    return SequenceOutput<Iterator>(it);
+  }
 
+  /* ** ** Wrapper funtions ** ** */
 
-  /* ** ** Wrapper fuggvenyek ** ** */
 
+  /// \brief Wrapper function to kruskal().
+  /// Input is from an edge map, output is a plain bool map.
+  ///
+  /// Wrapper function to kruskal().
+  /// Input is from an edge map, output is a plain bool map.
+  ///
+  ///\param G The type of the graph the algorithm runs on.
+  ///\param in An edge map containing the cost of the edges.
+  ///\par
+  ///The cost type can be any type satisfying the
+  ///STL 'LessThan Comparable'
+  ///concept if it also has an operator+() implemented. (It is necessary for
+  ///computing the total cost of the tree).
+  ///
+  /// \retval out This must be a writable \c bool edge map.
+  /// After running the algorithm
+  /// this will contain the found minimum cost spanning tree: the value of an
+  /// edge will be set to \c true if it belongs to the tree, otherwise it will
+  /// be set to \c false. The value of each edge will be set exactly once.
+  ///
+  /// \return The cost of the found tree.
 
-  /// \brief Wrapper to Kruskal().
-  /// Input is from an EdgeMap, output is a plain boolmap.
 
-  ///\todo some more words would be nice here.
-  ///
   template <typename Graph, typename EdgeCostMap, typename RetEdgeBoolMap>
   inline
   typename EdgeCostMap::ValueType
   kruskalEdgeMap(Graph const& G,
-			EdgeCostMap const& edge_costs,
-			RetEdgeBoolMap &ret_bool_map) {
-    
-    typedef KruskalMapInput<Graph,EdgeCostMap> InputVec;
-    
-    InputVec iv(G, edge_costs);
-    return kruskal(G, iv, ret_bool_map);
+		 EdgeCostMap const& in,
+		 RetEdgeBoolMap &out) {
+    return kruskal(G,
+		   KruskalMapInput<Graph,EdgeCostMap>(G,in),
+		   out);
   }
 
-
-  /// \brief Wrapper to Kruskal().
-  /// Input is from an EdgeMap, output is to a sequence.
-
-  ///\todo it does not follow the naming convention.
+  /// \brief Wrapper function to kruskal().
+  /// Input is from an edge map, output is an STL Sequence.
+  ///
+  /// Wrapper function to kruskal().
+  /// Input is from an edge map, output is an STL Sequence.
+  ///
+  ///\param G The type of the graph the algorithm runs on.
+  ///\param in An edge map containing the cost of the edges.
+  ///\par
+  ///The cost type can be any type satisfying the
+  ///STL 'LessThan Comparable'
+  ///concept if it also has an operator+() implemented. (It is necessary for
+  ///computing the total cost of the tree).
+  ///
+  /// \retval out This must be an iteraror of an STL Container with
+  /// <tt>Graph::Edge</tt> as its <tt>value_type</tt>.
+  /// The algorithm copies the elements of the found tree into this sequence.
+  /// For example, if we know that the spanning tree of the graph \c G has
+  /// say 53 edges then
+  /// we can put its edges into a vector \c tree with a code like this.
+  /// \code
+  /// std::vector<Edge> tree(53);
+  /// kruskalEdgeMap_IteratorOut(G,cost,tree.begin());
+  /// \endcode
+  /// Or if we don't know in advance the size of the tree, we can write this.
+  /// \code
+  /// std::vector<Edge> tree;
+  /// kruskalEdgeMap_IteratorOut(G,cost,std::back_inserter(tree));
+  /// \endcode
   ///
+  /// \return The cost of the found tree.
+  ///
+  /// \bug its name does not follow the coding style.
   template <typename Graph, typename EdgeCostMap, typename RetIterator>
   inline
   typename EdgeCostMap::ValueType
   kruskalEdgeMap_IteratorOut(const Graph& G,
-			     const EdgeCostMap& edge_costs,
-			     RetIterator ret_iterator)
+			     const EdgeCostMap& in,
+			     RetIterator out)
   {
-    typedef typename EdgeCostMap::ValueType ValueType;
-    
-    typedef SequenceOutput<RetIterator> OutMap;
-    OutMap out(ret_iterator);
-
-    typedef KruskalMapInput<Graph, EdgeCostMap> InputVec;
-
-    InputVec iv(G, edge_costs);
-
-    return kruskal(G, iv, out);
+    SequenceOutput<RetIterator> _out(out);
+    return kruskal(G,
+		   KruskalMapInput<Graph, EdgeCostMap>(G, in),
+		   _out);
   }
 
   /// @}

Modified: hugo/trunk/src/hugo/unionfind.h
==============================================================================
--- hugo/trunk/src/hugo/unionfind.h	(original)
+++ hugo/trunk/src/hugo/unionfind.h	Mon Sep  6 19:12:00 2004
@@ -32,9 +32,14 @@
    * only four methods: join (union), find, insert and size.
    * For more features see the \ref UnionFindEnum class.
    *
+   * It is primarily used in Kruskal algorithm for finding minimal
+   * cost spanning tree in a graph.
+   * \sa kruskal()
+   *
    * \pre The elements are automatically added only if the map 
    * given to the constructor was filled with -1's. Otherwise you
    * need to add all the elements by the \ref insert() method.
+   * \bug It is not clear what the constructor parameter is used for.
    */
 
   template <typename T, typename TIntMap>

Modified: hugo/trunk/src/test/Makefile.am
==============================================================================
--- hugo/trunk/src/test/Makefile.am	(original)
+++ hugo/trunk/src/test/Makefile.am	Mon Sep  6 19:12:00 2004
@@ -2,13 +2,20 @@
 
 noinst_HEADERS = test_tools.h graph_test.h
 
-check_PROGRAMS = test_tools_pass test_tools_fail \
+check_PROGRAMS = \
+	bfs_test \
+	dfs_test \
+	dijkstra_test \
+	error_test \
 	graph_test \
-	dijkstra_test bfs_test dfs_test \
-	minlengthpaths_test mincostflows_test \
-	unionfind_test xy_test \
+	kruskal_test \
+	mincostflows_test \
+	minlengthpaths_test \
+	test_tools_fail \
+	test_tools_pass \
 	time_measure_test \
-	error_test 
+	unionfind_test \
+	xy_test
 
 
 TESTS = $(check_PROGRAMS)
@@ -19,6 +26,7 @@
 dijkstra_test_SOURCES = dijkstra_test.cc
 error_test_SOURCES = error_test.cc
 graph_test_SOURCES = graph_test.cc
+kruskal_test_SOURCES = kruskal_test.cc
 mincostflows_test_SOURCES = mincostflows_test.cc
 minlengthpaths_test_SOURCES = minlengthpaths_test.cc
 time_measure_test_SOURCES = time_measure_test.cc

Copied: hugo/trunk/src/test/kruskal_test.cc (from r1093, /hugo/trunk/src/work/johanna/kruskal_test.cc)
==============================================================================
--- /hugo/trunk/src/work/johanna/kruskal_test.cc	(original)
+++ hugo/trunk/src/test/kruskal_test.cc	Mon Sep  6 19:12:00 2004
@@ -1,40 +1,25 @@
-#include <string>
 #include <iostream>
-#include <map>
 #include <vector>
 
-#include <kruskal.h>
+#include "test_tools.h"
+#include <hugo/maps.h>
+#include <hugo/kruskal.h>
 #include <hugo/list_graph.h>
+#include <hugo/skeletons/maps.h>
+#include <hugo/skeletons/graph.h>
 
 
 using namespace std;
 using namespace hugo;
 
-class string_int_map : public map<string,int> {
-public:
-  int get(const string &s) {
-    // Bocs, ez igy gaaaany, de nem volt kedvem utananezni, hogy
-    // hogy is mukodik ez a map :)
-    if( count(s) == 0 ) {
-      operator[](s) = -1;
-    }
-    return operator[](s);
-  }
-  void set(const string &s, int i) {
-      operator[](s) = i;
-  }
-};
-
-
-// Egy olyan "map", ami nem tud semmit, csak a typedef-eket.
-// Valami elegansabb megoldas kene a Kruskalban...
-
-template <typename K, typename V>
-class DummyMap {
-public:
-  typedef K KeyType;
-  typedef V ValueType;
-};
+void checkCompileKruskal()
+{
+  skeleton::WriteMap<skeleton::StaticGraphSkeleton::Edge,bool> w;
+
+  kruskalEdgeMap(skeleton::StaticGraphSkeleton(),
+		 skeleton::ReadMap<skeleton::StaticGraphSkeleton::Edge,int>(),
+		 w);
+}
 
 int main() {
 
@@ -63,17 +48,19 @@
   Edge e9 = G.addEdge(v3, t);
   Edge e10 = G.addEdge(v4, t);
 
-  typedef ListGraph::EdgeMap<double> ECostMap;
+  typedef ListGraph::EdgeMap<int> ECostMap;
   typedef ListGraph::EdgeMap<bool> EBoolMap;
 
   ECostMap edge_cost_map(G, 2);
   EBoolMap tree_map(G);
   
 
-  cout << "Uniform 2-es koltseggel: " 
-       << kruskalEdgeMap(G, edge_cost_map, tree_map)
-       << endl;
-
+  //Test with const map.
+  check(kruskalEdgeMap(G, ConstMap<ListGraph::Edge,int>(2), tree_map)==10,
+	"Total cost should be 10");
+  //Test with a edge map (filled with uniform costs).
+  check(kruskalEdgeMap(G, edge_cost_map, tree_map)==10,
+	"Total cost should be 10");
 
   edge_cost_map.set(e1, -10);
   edge_cost_map.set(e2, -9);
@@ -88,67 +75,20 @@
 
   vector<Edge> tree_edge_vec;
 
-  cout << "Nemkonst koltseggel (-31): "
-       << kruskalEdgeMap_IteratorOut(G, edge_cost_map,
-				     back_inserter(tree_edge_vec))
-       << endl;
-
-  int i = 1;
-  for(vector<Edge>::iterator e = tree_edge_vec.begin();
-      e != tree_edge_vec.end(); ++e, ++i) {
-    cout << i << ". el: " << G.id(*e) << endl;
-  }
-
-  tree_edge_vec.clear();
-//   SequenceOutput< back_insert_iterator< vector<Edge> > > 
-//     vec_filler(back_inserter(tree_edge_vec));
-//   cout << "Nemkonst koltseggel tarhatekonyabban: "
-//        << Kruskal(G,
-// 		  KruskalMapVec<ECostMap>(G, edge_cost_map),
-// 		  vec_filler)
-//        << endl;
-
-//   cout << "Nemkonst koltseggel tarhatekonyabban: "
-//        << kruskal(G,
-// 		  KruskalMapVec<ECostMap>(G, edge_cost_map),
-// 		  makeSequenceOutput(back_inserter(tree_edge_vec))
-// 		  )
-//        << endl;
-
-//   i = 1;
-//   for(vector<Edge>::iterator e = tree_edge_vec.begin();
-//       e != tree_edge_vec.end(); ++e, ++i) {
-//     cout << i << ". el: " << *e << endl;
-//   }
-
-// **********************************************************************
-
-//   typedef MinCostTreeKruskal<ListGraph, ECostMap, EBoolMap> MCTK;
-
-//   MCTK mctk(G, edge_cost_map, tree_map);
-//   double k0lts = mctk.run();
-
-//   cout << "Uniform 2-es koltseggel: " << k0lts << endl;
-
-//   // Max koltsegu fa szamitasa elore megrendezett koltseg vektorbol:
-//   typedef MinCostTreeKruskal<ListGraph, DummyMap<Edge,int>, EBoolMap> MCTK2;
-//   MCTK2 mctk2(G, DummyMap<Edge,int>(), tree_map);
-//   MCTK2::EdgeCostVector ecv;
-//   ecv.push_back(make_pair(e1, 10));
-//   ecv.push_back(make_pair(e2, 9));
-//   ecv.push_back(make_pair(e3, 8));
-//   ecv.push_back(make_pair(e4, 7));
-//   ecv.push_back(make_pair(e5, 6));
-//   ecv.push_back(make_pair(e6, 5));
-//   ecv.push_back(make_pair(e7, 4));
-//   ecv.push_back(make_pair(e8, 3));
-//   ecv.push_back(make_pair(e9, 2));
-//   ecv.push_back(make_pair(e10, 1));
-
-//   k0lts = mctk2.run(ecv);
-//   cout << "Max koltsegu fa elore megrendezett koltseg vektorbol: 31 = "
-//        << k0lts << endl;
-
+  //Test with a edge map and inserter.
+  check(kruskalEdgeMap_IteratorOut(G, edge_cost_map,
+				   back_inserter(tree_edge_vec))
+	==-31,
+	"Total cost should be -31.");
+
+  check(tree_edge_vec.size()==5,"The tree should have 5 edges.");
+
+  check(tree_edge_vec[0]==e1 &&
+	tree_edge_vec[1]==e2 &&
+	tree_edge_vec[2]==e5 &&
+	tree_edge_vec[3]==e7 &&
+	tree_edge_vec[4]==e9,
+	"Wrong tree.");
 
   return 0;
 }



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