Ticket #45: 88da4852da9e.patch

tools/Makefile.am

@@ -1 +1 @@
 if WANT_TOOLS
 
 bin_PROGRAMS += \
-        tools/dimacs-to-lgf
+        tools/dimacs-to-lgf \
+        tools/lgf-gen
 
 dist_bin_SCRIPTS += tools/lemon-0.x-to-1.x.sh
 
 endif WANT_TOOLS
 
 tools_dimacs_to_lgf_SOURCES = tools/dimacs-to-lgf.cc
+tools_lgf_gen_SOURCES = tools/lgf-gen.cc

new file tools/lgf-gen.cc

@@ +1 @@
+/* -*- 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.
+ *
+ */
+
+///\ingroup tools
+///\file
+///\brief Special plane digraph generator.
+///
+///Digraph generator application for various types of plane digraphs.
+///
+///\verbatim
+/// Usage:
+///   ./tools/lgf-gen [-2con|-tree|-tsp|-tsp2|-dela] [-disc|-square|-gauss]
+///      [-rand|-seed int] [--help|-h|-help] [-area num] [-cities int] [-dir]
+///      [-eps] [-g int] [-n int] [prefix]
+/// Where:
+///   [prefix]
+///      Prefix of the output files. Default is 'lgf-gen-out'
+///   --help|-h|-help
+///      Print a short help message
+///   -2con
+///      Create a two connected planar digraph
+///   -area num
+///      Full relative area of the cities (default is 1)
+///   -cities int
+///      Number of cities (default is 1)
+///   -dela
+///      Delaunay triangulation digraph
+///   -dir
+///      Directed digraph is generated (each arcs are replaced by two directed ones)
+///   -disc
+///      Nodes are evenly distributed on a unit disc (default)
+///   -eps
+///      Also generate .eps output (prefix.eps)
+///   -g int
+///      Girth parameter (default is 10)
+///   -gauss
+///      Nodes are located according to a two-dim gauss distribution
+///   -n int
+///      Number of nodes (default is 100)
+///   -rand
+///      Use time seed for random number generator
+///   -seed int
+///      Random seed
+///   -square
+///      Nodes are evenly distributed on a unit square
+///   -tree
+///      Create a min. cost spanning tree
+///   -tsp
+///      Create a TSP tour
+///   -tsp2
+///      Create a TSP tour (tree based)
+///\endverbatim
+/// \image html plane_tree.png
+/// \image latex plane_tree.eps "Eucledian spanning tree" width=\textwidth
+///
+
+
+#include <algorithm>
+#include <set>
+#include <lemon/list_graph.h>
+#include <lemon/random.h>
+#include <lemon/dim2.h>
+#include <lemon/bfs.h>
+#include <lemon/counter.h>
+#include <lemon/suurballe.h>
+#include <lemon/graph_to_eps.h>
+#include <lemon/lgf_writer.h>
+#include <lemon/arg_parser.h>
+#include <lemon/euler.h>
+#include <lemon/math.h>
+#include <lemon/kruskal.h>
+#include <lemon/time_measure.h>
+
+using namespace lemon;
+
+typedef dim2::Point<double> Point;
+
+GRAPH_TYPEDEFS(ListGraph);
+
+bool progress=true;
+
+int N;
+// int girth;
+
+ListGraph g;
+
+std::vector<Node> nodes;
+ListGraph::NodeMap<Point> coords(g);
+
+
+double totalLen(){
+  double tlen=0;
+  for(EdgeIt e(g);e!=INVALID;++e)
+    tlen+=sqrt((coords[g.v(e)]-coords[g.u(e)]).normSquare());
+  return tlen;
+}
+
+int tsp_impr_num=0;
+
+const double EPSILON=1e-8;
+bool tsp_improve(Node u, Node v)
+{
+  double luv=std::sqrt((coords[v]-coords[u]).normSquare());
+  Node u2=u;
+  Node v2=v;
+  do {
+    Node n;
+    for(IncEdgeIt e(g,v2);(n=g.runningNode(e))==u2;++e) { }
+    u2=v2;
+    v2=n;
+    if(luv+std::sqrt((coords[v2]-coords[u2]).normSquare())-EPSILON>
+       std::sqrt((coords[u]-coords[u2]).normSquare())+
+       std::sqrt((coords[v]-coords[v2]).normSquare()))
+      {
+         g.erase(findEdge(g,u,v));
+         g.erase(findEdge(g,u2,v2));
+        g.addEdge(u2,u);
+        g.addEdge(v,v2);
+        tsp_impr_num++;
+        return true;
+      }
+  } while(v2!=u);
+  return false;
+}
+
+bool tsp_improve(Node u)
+{
+  for(IncEdgeIt e(g,u);e!=INVALID;++e)
+    if(tsp_improve(u,g.runningNode(e))) return true;
+  return false;
+}
+
+void tsp_improve()
+{
+  bool b;
+  do {
+    b=false;
+    for(NodeIt n(g);n!=INVALID;++n)
+      if(tsp_improve(n)) b=true;
+  } while(b);
+}
+
+void tsp()
+{
+  for(int i=0;i<N;i++) g.addEdge(nodes[i],nodes[(i+1)%N]);
+  tsp_improve();
+}
+
+class Line
+{
+public:
+  Point a;
+  Point b;
+  Line(Point _a,Point _b) :a(_a),b(_b) {}
+  Line(Node _a,Node _b) : a(coords[_a]),b(coords[_b]) {}
+  Line(const Arc &e) : a(coords[g.source(e)]),b(coords[g.target(e)]) {}
+  Line(const Edge &e) : a(coords[g.u(e)]),b(coords[g.v(e)]) {}
+};
+
+inline std::ostream& operator<<(std::ostream &os, const Line &l)
+{
+  os << l.a << "->" << l.b;
+  return os;
+}
+
+bool cross(Line a, Line b)
+{
+  Point ao=rot90(a.b-a.a);
+  Point bo=rot90(b.b-b.a);
+  return (ao*(b.a-a.a))*(ao*(b.b-a.a))<0 &&
+    (bo*(a.a-b.a))*(bo*(a.b-b.a))<0;
+}
+
+struct Parc
+{
+  Node a;
+  Node b;
+  double len;
+};
+
+bool pedgeLess(Parc a,Parc b)
+{
+  return a.len<b.len;
+}
+
+std::vector<Edge> arcs;
+
+namespace _delaunay_bits {
+
+  struct Part {
+    int prev, curr, next;
+
+    Part(int p, int c, int n) : prev(p), curr(c), next(n) {}
+  };
+
+  inline std::ostream& operator<<(std::ostream& os, const Part& part) {
+    os << '(' << part.prev << ',' << part.curr << ',' << part.next << ')';
+    return os;
+  }
+
+  inline double circle_point(const Point& p, const Point& q, const Point& r) {
+    double a = p.x * (q.y - r.y) + q.x * (r.y - p.y) + r.x * (p.y - q.y);
+    if (a == 0) return std::numeric_limits<double>::quiet_NaN();
+
+    double d = (p.x * p.x + p.y * p.y) * (q.y - r.y) +
+      (q.x * q.x + q.y * q.y) * (r.y - p.y) +
+      (r.x * r.x + r.y * r.y) * (p.y - q.y);
+
+    double e = (p.x * p.x + p.y * p.y) * (q.x - r.x) +
+      (q.x * q.x + q.y * q.y) * (r.x - p.x) +
+      (r.x * r.x + r.y * r.y) * (p.x - q.x);
+
+    double f = (p.x * p.x + p.y * p.y) * (q.x * r.y - r.x * q.y) +
+      (q.x * q.x + q.y * q.y) * (r.x * p.y - p.x * r.y) +
+      (r.x * r.x + r.y * r.y) * (p.x * q.y - q.x * p.y);
+
+    return d / (2 * a) + sqrt((d * d + e * e) / (4 * a * a) + f / a);
+  }
+
+  inline bool circle_form(const Point& p, const Point& q, const Point& r) {
+    return rot90(q - p) * (r - q) < 0.0;
+  }
+
+  inline double intersection(const Point& p, const Point& q, double sx) {
+    const double epsilon = 1e-8;
+
+    if (p.x == q.x) return (p.y + q.y) / 2.0;
+
+    if (sx < p.x + epsilon) return p.y;
+    if (sx < q.x + epsilon) return q.y;
+
+    double a = q.x - p.x;
+    double b = (q.x - sx) * p.y - (p.x - sx) * q.y;
+    double d = (q.x - sx) * (p.x - sx) * (p - q).normSquare();
+    return (b - sqrt(d)) / a;
+  }
+
+  struct YLess {
+
+
+    YLess(const std::vector<Point>& points, double& sweep)
+      : _points(points), _sweep(sweep) {}
+
+    bool operator()(const Part& l, const Part& r) const {
+      const double epsilon = 1e-8;
+
+      //      std::cerr << l << " vs " << r << std::endl;
+      double lbx = l.prev != -1 ?
+        intersection(_points[l.prev], _points[l.curr], _sweep) :
+        - std::numeric_limits<double>::infinity();
+      double rbx = r.prev != -1 ?
+        intersection(_points[r.prev], _points[r.curr], _sweep) :
+        - std::numeric_limits<double>::infinity();
+      double lex = l.next != -1 ?
+        intersection(_points[l.curr], _points[l.next], _sweep) :
+        std::numeric_limits<double>::infinity();
+      double rex = r.next != -1 ?
+        intersection(_points[r.curr], _points[r.next], _sweep) :
+        std::numeric_limits<double>::infinity();
+
+      if (lbx > lex) std::swap(lbx, lex);
+      if (rbx > rex) std::swap(rbx, rex);
+
+      if (lex < epsilon + rex && lbx + epsilon < rex) return true;
+      if (rex < epsilon + lex && rbx + epsilon < lex) return false;
+      return lex < rex;
+    }
+
+    const std::vector<Point>& _points;
+    double& _sweep;
+  };
+
+  struct BeachIt;
+
+  typedef std::multimap<double, BeachIt> SpikeHeap;
+
+  typedef std::multimap<Part, SpikeHeap::iterator, YLess> Beach;
+
+  struct BeachIt {
+    Beach::iterator it;
+
+    BeachIt(Beach::iterator iter) : it(iter) {}
+  };
+
+}
+
+inline void delaunay() {
+  Counter cnt("Number of arcs added: ");
+
+  using namespace _delaunay_bits;
+
+  typedef _delaunay_bits::Part Part;
+  typedef std::vector<std::pair<double, int> > SiteHeap;
+
+
+  std::vector<Point> points;
+  std::vector<Node> nodes;
+
+  for (NodeIt it(g); it != INVALID; ++it) {
+    nodes.push_back(it);
+    points.push_back(coords[it]);
+  }
+
+  SiteHeap siteheap(points.size());
+
+  double sweep;
+
+
+  for (int i = 0; i < int(siteheap.size()); ++i) {
+    siteheap[i] = std::make_pair(points[i].x, i);
+  }
+
+  std::sort(siteheap.begin(), siteheap.end());
+  sweep = siteheap.front().first;
+
+  YLess yless(points, sweep);
+  Beach beach(yless);
+
+  SpikeHeap spikeheap;
+
+  std::set<std::pair<int, int> > arcs;
+
+  int siteindex = 0;
+  {
+    SiteHeap front;
+
+    while (siteindex < int(siteheap.size()) &&
+           siteheap[0].first == siteheap[siteindex].first) {
+      front.push_back(std::make_pair(points[siteheap[siteindex].second].y,
+                                     siteheap[siteindex].second));
+      ++siteindex;
+    }
+
+    std::sort(front.begin(), front.end());
+
+    for (int i = 0; i < int(front.size()); ++i) {
+      int prev = (i == 0 ? -1 : front[i - 1].second);
+      int curr = front[i].second;
+      int next = (i + 1 == int(front.size()) ? -1 : front[i + 1].second);
+
+      beach.insert(std::make_pair(Part(prev, curr, next),
+                                  spikeheap.end()));
+    }
+  }
+
+  while (siteindex < int(points.size()) || !spikeheap.empty()) {
+
+    SpikeHeap::iterator spit = spikeheap.begin();
+
+    if (siteindex < int(points.size()) &&
+        (spit == spikeheap.end() || siteheap[siteindex].first < spit->first)) {
+      int site = siteheap[siteindex].second;
+      sweep = siteheap[siteindex].first;
+
+      Beach::iterator bit = beach.upper_bound(Part(site, site, site));
+
+      if (bit->second != spikeheap.end()) {
+        spikeheap.erase(bit->second);
+      }
+
+      int prev = bit->first.prev;
+      int curr = bit->first.curr;
+      int next = bit->first.next;
+
+      beach.erase(bit);
+
+      SpikeHeap::iterator pit = spikeheap.end();
+      if (prev != -1 &&
+          circle_form(points[prev], points[curr], points[site])) {
+        double x = circle_point(points[prev], points[curr], points[site]);
+        pit = spikeheap.insert(std::make_pair(x, BeachIt(beach.end())));
+        pit->second.it =
+          beach.insert(std::make_pair(Part(prev, curr, site), pit));
+      } else {
+        beach.insert(std::make_pair(Part(prev, curr, site), pit));
+      }
+
+      beach.insert(std::make_pair(Part(curr, site, curr), spikeheap.end()));
+
+      SpikeHeap::iterator nit = spikeheap.end();
+      if (next != -1 &&
+          circle_form(points[site], points[curr],points[next])) {
+        double x = circle_point(points[site], points[curr], points[next]);
+        nit = spikeheap.insert(std::make_pair(x, BeachIt(beach.end())));
+        nit->second.it =
+          beach.insert(std::make_pair(Part(site, curr, next), nit));
+      } else {
+        beach.insert(std::make_pair(Part(site, curr, next), nit));
+      }
+
+      ++siteindex;
+    } else {
+      sweep = spit->first;
+
+      Beach::iterator bit = spit->second.it;
+
+      int prev = bit->first.prev;
+      int curr = bit->first.curr;
+      int next = bit->first.next;
+
+      {
+        std::pair<int, int> arc;
+
+        arc = prev < curr ?
+          std::make_pair(prev, curr) : std::make_pair(curr, prev);
+
+        if (arcs.find(arc) == arcs.end()) {
+          arcs.insert(arc);
+          g.addEdge(nodes[prev], nodes[curr]);
+          ++cnt;
+        }
+
+        arc = curr < next ?
+          std::make_pair(curr, next) : std::make_pair(next, curr);
+
+        if (arcs.find(arc) == arcs.end()) {
+          arcs.insert(arc);
+          g.addEdge(nodes[curr], nodes[next]);
+          ++cnt;
+        }
+      }
+
+      Beach::iterator pbit = bit; --pbit;
+      int ppv = pbit->first.prev;
+      Beach::iterator nbit = bit; ++nbit;
+      int nnt = nbit->first.next;
+
+      if (bit->second != spikeheap.end()) spikeheap.erase(bit->second);
+      if (pbit->second != spikeheap.end()) spikeheap.erase(pbit->second);
+      if (nbit->second != spikeheap.end()) spikeheap.erase(nbit->second);
+
+      beach.erase(nbit);
+      beach.erase(bit);
+      beach.erase(pbit);
+
+      SpikeHeap::iterator pit = spikeheap.end();
+      if (ppv != -1 && ppv != next &&
+          circle_form(points[ppv], points[prev], points[next])) {
+        double x = circle_point(points[ppv], points[prev], points[next]);
+        if (x < sweep) x = sweep;
+        pit = spikeheap.insert(std::make_pair(x, BeachIt(beach.end())));
+        pit->second.it =
+          beach.insert(std::make_pair(Part(ppv, prev, next), pit));
+      } else {
+        beach.insert(std::make_pair(Part(ppv, prev, next), pit));
+      }
+
+      SpikeHeap::iterator nit = spikeheap.end();
+      if (nnt != -1 && prev != nnt &&
+          circle_form(points[prev], points[next], points[nnt])) {
+        double x = circle_point(points[prev], points[next], points[nnt]);
+        if (x < sweep) x = sweep;
+        nit = spikeheap.insert(std::make_pair(x, BeachIt(beach.end())));
+        nit->second.it =
+          beach.insert(std::make_pair(Part(prev, next, nnt), nit));
+      } else {
+        beach.insert(std::make_pair(Part(prev, next, nnt), nit));
+      }
+
+    }
+  }
+
+  for (Beach::iterator it = beach.begin(); it != beach.end(); ++it) {
+    int curr = it->first.curr;
+    int next = it->first.next;
+
+    if (next == -1) continue;
+
+    std::pair<int, int> arc;
+
+    arc = curr < next ?
+      std::make_pair(curr, next) : std::make_pair(next, curr);
+
+    if (arcs.find(arc) == arcs.end()) {
+      arcs.insert(arc);
+      g.addEdge(nodes[curr], nodes[next]);
+      ++cnt;
+    }
+  }
+}
+
+void sparse(int d)
+{
+  Counter cnt("Number of arcs removed: ");
+  Bfs<ListGraph> bfs(g);
+  for(std::vector<Edge>::reverse_iterator ei=arcs.rbegin();
+      ei!=arcs.rend();++ei)
+    {
+      Node a=g.u(*ei);
+      Node b=g.v(*ei);
+      g.erase(*ei);
+      bfs.run(a,b);
+      if(bfs.predArc(b)==INVALID || bfs.dist(b)>d)
+        g.addEdge(a,b);
+      else cnt++;
+    }
+}
+
+void sparse2(int d)
+{
+  Counter cnt("Number of arcs removed: ");
+  for(std::vector<Edge>::reverse_iterator ei=arcs.rbegin();
+      ei!=arcs.rend();++ei)
+    {
+      Node a=g.u(*ei);
+      Node b=g.v(*ei);
+      g.erase(*ei);
+      ConstMap<Arc,int> cegy(1);
+      Suurballe<ListGraph,ConstMap<Arc,int> > sur(g,cegy,a,b);
+      int k=sur.run(2);
+      if(k<2 || sur.totalLength()>d)
+        g.addEdge(a,b);
+      else cnt++;
+//       else std::cout << "Remove arc " << g.id(a) << "-" << g.id(b) << '\n';
+    }
+}
+
+void sparseTriangle(int d)
+{
+  Counter cnt("Number of arcs added: ");
+  std::vector<Parc> pedges;
+  for(NodeIt n(g);n!=INVALID;++n)
+    for(NodeIt m=++(NodeIt(n));m!=INVALID;++m)
+      {
+        Parc p;
+        p.a=n;
+        p.b=m;
+        p.len=(coords[m]-coords[n]).normSquare();
+        pedges.push_back(p);
+      }
+  std::sort(pedges.begin(),pedges.end(),pedgeLess);
+  for(std::vector<Parc>::iterator pi=pedges.begin();pi!=pedges.end();++pi)
+    {
+      Line li(pi->a,pi->b);
+      EdgeIt e(g);
+      for(;e!=INVALID && !cross(e,li);++e) ;
+      Edge ne;
+      if(e==INVALID) {
+        ConstMap<Arc,int> cegy(1);
+        Suurballe<ListGraph,ConstMap<Arc,int> >
+          sur(g,cegy,pi->a,pi->b);
+        int k=sur.run(2);
+        if(k<2 || sur.totalLength()>d)
+          {
+            ne=g.addEdge(pi->a,pi->b);
+            arcs.push_back(ne);
+            cnt++;
+          }
+      }
+    }
+}
+
+template <typename Graph, typename CoordMap>
+class LengthSquareMap {
+public:
+  typedef typename Graph::Edge Key;
+  typedef typename CoordMap::Value::Value Value;
+
+  LengthSquareMap(const Graph& graph, const CoordMap& coords)
+    : _graph(graph), _coords(coords) {}
+
+  Value operator[](const Key& key) const {
+    return (_coords[_graph.v(key)] -
+            _coords[_graph.u(key)]).normSquare();
+  }
+
+private:
+
+  const Graph& _graph;
+  const CoordMap& _coords;
+};
+
+void minTree() {
+  std::vector<Parc> pedges;
+  Timer T;
+  std::cout << T.realTime() << "s: Creating delaunay triangulation...\n";
+  delaunay();
+  std::cout << T.realTime() << "s: Calculating spanning tree...\n";
+  LengthSquareMap<ListGraph, ListGraph::NodeMap<Point> > ls(g, coords);
+  ListGraph::EdgeMap<bool> tree(g);
+  kruskal(g, ls, tree);
+  std::cout << T.realTime() << "s: Removing non tree arcs...\n";
+  std::vector<Edge> remove;
+  for (EdgeIt e(g); e != INVALID; ++e) {
+    if (!tree[e]) remove.push_back(e);
+  }
+  for(int i = 0; i < int(remove.size()); ++i) {
+    g.erase(remove[i]);
+  }
+  std::cout << T.realTime() << "s: Done\n";
+}
+
+void tsp2()
+{
+  std::cout << "Find a tree..." << std::endl;
+
+  minTree();
+
+  std::cout << "Total arc length (tree) : " << totalLen() << std::endl;
+
+  std::cout << "Make it Euler..." << std::endl;
+
+  {
+    std::vector<Node> leafs;
+    for(NodeIt n(g);n!=INVALID;++n)
+      if(countIncEdges(g,n)%2==1) leafs.push_back(n);
+
+//    for(unsigned int i=0;i<leafs.size();i+=2)
+//       g.addArc(leafs[i],leafs[i+1]);
+
+    std::vector<Parc> pedges;
+    for(unsigned int i=0;i<leafs.size()-1;i++)
+      for(unsigned int j=i+1;j<leafs.size();j++)
+        {
+          Node n=leafs[i];
+          Node m=leafs[j];
+          Parc p;
+          p.a=n;
+          p.b=m;
+          p.len=(coords[m]-coords[n]).normSquare();
+          pedges.push_back(p);
+        }
+    std::sort(pedges.begin(),pedges.end(),pedgeLess);
+    for(unsigned int i=0;i<pedges.size();i++)
+      if(countIncEdges(g,pedges[i].a)%2 &&
+         countIncEdges(g,pedges[i].b)%2)
+        g.addEdge(pedges[i].a,pedges[i].b);
+  }
+
+  for(NodeIt n(g);n!=INVALID;++n)
+    if(countIncEdges(g,n)%2 || countIncEdges(g,n)==0 )
+      std::cout << "GEBASZ!!!" << std::endl;
+
+  for(EdgeIt e(g);e!=INVALID;++e)
+    if(g.u(e)==g.v(e))
+      std::cout << "LOOP GEBASZ!!!" << std::endl;
+
+  std::cout << "Number of arcs : " << countEdges(g) << std::endl;
+
+  std::cout << "Total arc length (euler) : " << totalLen() << std::endl;
+
+  ListGraph::EdgeMap<Arc> enext(g);
+  {
+    EulerIt<ListGraph> e(g);
+    Arc eo=e;
+    Arc ef=e;
+//     std::cout << "Tour arc: " << g.id(Edge(e)) << std::endl;
+    for(++e;e!=INVALID;++e)
+      {
+//         std::cout << "Tour arc: " << g.id(Edge(e)) << std::endl;
+        enext[eo]=e;
+        eo=e;
+      }
+    enext[eo]=ef;
+  }
+
+  std::cout << "Creating a tour from that..." << std::endl;
+
+  int nnum = countNodes(g);
+  int ednum = countEdges(g);
+
+  for(Arc p=enext[EdgeIt(g)];ednum>nnum;p=enext[p])
+    {
+//       std::cout << "Checking arc " << g.id(p) << std::endl;
+      Arc e=enext[p];
+      Arc f=enext[e];
+      Node n2=g.source(f);
+      Node n1=g.oppositeNode(n2,e);
+      Node n3=g.oppositeNode(n2,f);
+      if(countIncEdges(g,n2)>2)
+        {
+//           std::cout << "Remove an Arc" << std::endl;
+          Arc ff=enext[f];
+          g.erase(e);
+          g.erase(f);
+          if(n1!=n3)
+            {
+              Arc ne=g.direct(g.addEdge(n1,n3),n1);
+              enext[p]=ne;
+              enext[ne]=ff;
+              ednum--;
+            }
+          else {
+            enext[p]=ff;
+            ednum-=2;
+          }
+        }
+    }
+
+  std::cout << "Total arc length (tour) : " << totalLen() << std::endl;
+
+  std::cout << "2-opt the tour..." << std::endl;
+
+  tsp_improve();
+
+  std::cout << "Total arc length (2-opt tour) : " << totalLen() << std::endl;
+}
+
+
+int main(int argc,const char **argv)
+{
+  ArgParser ap(argc,argv);
+
+//   bool eps;
+  bool disc_d, square_d, gauss_d;
+//   bool tsp_a,two_a,tree_a;
+  int num_of_cities=1;
+  double area=1;
+  N=100;
+//   girth=10;
+  std::string ndist("disc");
+  ap.refOption("n", "Number of nodes (default is 100)", N)
+    .intOption("g", "Girth parameter (default is 10)", 10)
+    .refOption("cities", "Number of cities (default is 1)", num_of_cities)
+    .refOption("area", "Full relative area of the cities (default is 1)", area)
+    .refOption("disc", "Nodes are evenly distributed on a unit disc (default)",disc_d)
+    .optionGroup("dist", "disc")
+    .refOption("square", "Nodes are evenly distributed on a unit square", square_d)
+    .optionGroup("dist", "square")
+    .refOption("gauss",
+            "Nodes are located according to a two-dim gauss distribution",
+            gauss_d)
+    .optionGroup("dist", "gauss")
+//     .mandatoryGroup("dist")
+    .onlyOneGroup("dist")
+    .boolOption("eps", "Also generate .eps output (prefix.eps)")
+    .boolOption("dir", "Directed digraph is generated (each arcs are replaced by two directed ones)")
+    .boolOption("2con", "Create a two connected planar digraph")
+    .optionGroup("alg","2con")
+    .boolOption("tree", "Create a min. cost spanning tree")
+    .optionGroup("alg","tree")
+    .boolOption("tsp", "Create a TSP tour")
+    .optionGroup("alg","tsp")
+    .boolOption("tsp2", "Create a TSP tour (tree based)")
+    .optionGroup("alg","tsp2")
+    .boolOption("dela", "Delaunay triangulation digraph")
+    .optionGroup("alg","dela")
+    .onlyOneGroup("alg")
+    .boolOption("rand", "Use time seed for random number generator")
+    .optionGroup("rand", "rand")
+    .intOption("seed", "Random seed", -1)
+    .optionGroup("rand", "seed")
+    .onlyOneGroup("rand")
+    .other("[prefix]","Prefix of the output files. Default is 'lgf-gen-out'")
+    .run();
+
+  if (ap["rand"]) {
+    int seed = time(0);
+    std::cout << "Random number seed: " << seed << std::endl;
+    rnd = Random(seed);
+  }
+  if (ap.given("seed")) {
+    int seed = ap["seed"];
+    std::cout << "Random number seed: " << seed << std::endl;
+    rnd = Random(seed);
+  }
+
+  std::string prefix;
+  switch(ap.files().size())
+    {
+    case 0:
+      prefix="lgf-gen-out";
+      break;
+    case 1:
+      prefix=ap.files()[0];
+      break;
+    default:
+      std::cerr << "\nAt most one prefix can be given\n\n";
+      exit(1);
+    }
+
+  double sum_sizes=0;
+  std::vector<double> sizes;
+  std::vector<double> cum_sizes;
+  for(int s=0;s<num_of_cities;s++)
+    {
+      //         sum_sizes+=rnd.exponential();
+      double d=rnd();
+      sum_sizes+=d;
+      sizes.push_back(d);
+      cum_sizes.push_back(sum_sizes);
+    }
+  int i=0;
+  for(int s=0;s<num_of_cities;s++)
+    {
+      Point center=(num_of_cities==1?Point(0,0):rnd.disc());
+      if(gauss_d)
+        for(;i<N*(cum_sizes[s]/sum_sizes);i++) {
+          Node n=g.addNode();
+          nodes.push_back(n);
+          coords[n]=center+rnd.gauss2()*area*
+            std::sqrt(sizes[s]/sum_sizes);
+        }
+      else if(square_d)
+        for(;i<N*(cum_sizes[s]/sum_sizes);i++) {
+          Node n=g.addNode();
+          nodes.push_back(n);
+          coords[n]=center+Point(rnd()*2-1,rnd()*2-1)*area*
+            std::sqrt(sizes[s]/sum_sizes);
+        }
+      else if(disc_d || true)
+        for(;i<N*(cum_sizes[s]/sum_sizes);i++) {
+          Node n=g.addNode();
+          nodes.push_back(n);
+          coords[n]=center+rnd.disc()*area*
+            std::sqrt(sizes[s]/sum_sizes);
+        }
+    }
+
+//   for (ListGraph::NodeIt n(g); n != INVALID; ++n) {
+//     std::cerr << coords[n] << std::endl;
+//   }
+
+  if(ap["tsp"]) {
+    tsp();
+    std::cout << "#2-opt improvements: " << tsp_impr_num << std::endl;
+  }
+  if(ap["tsp2"]) {
+    tsp2();
+    std::cout << "#2-opt improvements: " << tsp_impr_num << std::endl;
+  }
+  else if(ap["2con"]) {
+    std::cout << "Make triangles\n";
+    //   triangle();
+    sparseTriangle(ap["g"]);
+    std::cout << "Make it sparser\n";
+    sparse2(ap["g"]);
+  }
+  else if(ap["tree"]) {
+    minTree();
+  }
+  else if(ap["dela"]) {
+    delaunay();
+  }
+
+
+  std::cout << "Number of nodes    : " << countNodes(g) << std::endl;
+  std::cout << "Number of arcs    : " << countEdges(g) << std::endl;
+  double tlen=0;
+  for(EdgeIt e(g);e!=INVALID;++e)
+    tlen+=sqrt((coords[g.v(e)]-coords[g.u(e)]).normSquare());
+  std::cout << "Total arc length  : " << tlen << std::endl;
+
+  if(ap["eps"])
+    graphToEps(g,prefix+".eps").scaleToA4().
+      scale(600).nodeScale(.005).arcWidthScale(.001).preScale(false).
+      coords(coords).run();
+
+  if(ap["dir"])
+    DigraphWriter<ListGraph>(g,prefix+".lgf").
+      nodeMap("coordinates_x",scaleMap(xMap(coords),600)).
+      nodeMap("coordinates_y",scaleMap(yMap(coords),600)).
+      run();
+  else GraphWriter<ListGraph>(g,prefix+".lgf").
+         nodeMap("coordinates_x",scaleMap(xMap(coords),600)).
+         nodeMap("coordinates_y",scaleMap(yMap(coords),600)).
+         run();
+}
+