alpar@507: /* -*- mode: C++; indent-tabs-mode: nil; -*-
alpar@507:  *
alpar@507:  * This file is a part of LEMON, a generic C++ optimization library.
alpar@507:  *
alpar@507:  * Copyright (C) 2003-2009
alpar@507:  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
alpar@507:  * (Egervary Research Group on Combinatorial Optimization, EGRES).
alpar@507:  *
alpar@507:  * Permission to use, modify and distribute this software is granted
alpar@507:  * provided that this copyright notice appears in all copies. For
alpar@507:  * precise terms see the accompanying LICENSE file.
alpar@507:  *
alpar@507:  * This software is provided "AS IS" with no warranty of any kind,
alpar@507:  * express or implied, and with no claim as to its suitability for any
alpar@507:  * purpose.
alpar@507:  *
alpar@507:  */
alpar@507: 
alpar@507: /// \ingroup tools
alpar@507: /// \file
alpar@507: /// \brief Special plane digraph generator.
alpar@507: ///
alpar@507: /// Graph generator application for various types of plane graphs.
alpar@507: ///
alpar@507: /// See
kpeter@576: /// \code
kpeter@576: ///   lgf-gen --help
kpeter@576: /// \endcode
alpar@507: /// for more info on the usage.
alpar@507: 
alpar@507: #include <algorithm>
alpar@507: #include <set>
ladanyi@562: #include <ctime>
alpar@507: #include <lemon/list_graph.h>
alpar@507: #include <lemon/random.h>
alpar@507: #include <lemon/dim2.h>
alpar@507: #include <lemon/bfs.h>
alpar@507: #include <lemon/counter.h>
alpar@507: #include <lemon/suurballe.h>
alpar@507: #include <lemon/graph_to_eps.h>
alpar@507: #include <lemon/lgf_writer.h>
alpar@507: #include <lemon/arg_parser.h>
alpar@507: #include <lemon/euler.h>
alpar@507: #include <lemon/math.h>
alpar@507: #include <lemon/kruskal.h>
alpar@507: #include <lemon/time_measure.h>
alpar@507: 
alpar@507: using namespace lemon;
alpar@507: 
alpar@507: typedef dim2::Point<double> Point;
alpar@507: 
alpar@507: GRAPH_TYPEDEFS(ListGraph);
alpar@507: 
alpar@507: bool progress=true;
alpar@507: 
alpar@507: int N;
alpar@507: // int girth;
alpar@507: 
alpar@507: ListGraph g;
alpar@507: 
alpar@507: std::vector<Node> nodes;
alpar@507: ListGraph::NodeMap<Point> coords(g);
alpar@507: 
alpar@507: 
alpar@507: double totalLen(){
alpar@507:   double tlen=0;
alpar@507:   for(EdgeIt e(g);e!=INVALID;++e)
alpar@507:     tlen+=sqrt((coords[g.v(e)]-coords[g.u(e)]).normSquare());
alpar@507:   return tlen;
alpar@507: }
alpar@507: 
alpar@507: int tsp_impr_num=0;
alpar@507: 
alpar@507: const double EPSILON=1e-8;
alpar@507: bool tsp_improve(Node u, Node v)
alpar@507: {
alpar@507:   double luv=std::sqrt((coords[v]-coords[u]).normSquare());
alpar@507:   Node u2=u;
alpar@507:   Node v2=v;
alpar@507:   do {
alpar@507:     Node n;
alpar@507:     for(IncEdgeIt e(g,v2);(n=g.runningNode(e))==u2;++e) { }
alpar@507:     u2=v2;
alpar@507:     v2=n;
alpar@507:     if(luv+std::sqrt((coords[v2]-coords[u2]).normSquare())-EPSILON>
alpar@507:        std::sqrt((coords[u]-coords[u2]).normSquare())+
alpar@507:        std::sqrt((coords[v]-coords[v2]).normSquare()))
alpar@507:       {
alpar@507:          g.erase(findEdge(g,u,v));
alpar@507:          g.erase(findEdge(g,u2,v2));
alpar@507:         g.addEdge(u2,u);
alpar@507:         g.addEdge(v,v2);
alpar@507:         tsp_impr_num++;
alpar@507:         return true;
alpar@507:       }
alpar@507:   } while(v2!=u);
alpar@507:   return false;
alpar@507: }
alpar@507: 
alpar@507: bool tsp_improve(Node u)
alpar@507: {
alpar@507:   for(IncEdgeIt e(g,u);e!=INVALID;++e)
alpar@507:     if(tsp_improve(u,g.runningNode(e))) return true;
alpar@507:   return false;
alpar@507: }
alpar@507: 
alpar@507: void tsp_improve()
alpar@507: {
alpar@507:   bool b;
alpar@507:   do {
alpar@507:     b=false;
alpar@507:     for(NodeIt n(g);n!=INVALID;++n)
alpar@507:       if(tsp_improve(n)) b=true;
alpar@507:   } while(b);
alpar@507: }
alpar@507: 
alpar@507: void tsp()
alpar@507: {
alpar@507:   for(int i=0;i<N;i++) g.addEdge(nodes[i],nodes[(i+1)%N]);
alpar@507:   tsp_improve();
alpar@507: }
alpar@507: 
alpar@507: class Line
alpar@507: {
alpar@507: public:
alpar@507:   Point a;
alpar@507:   Point b;
alpar@507:   Line(Point _a,Point _b) :a(_a),b(_b) {}
alpar@507:   Line(Node _a,Node _b) : a(coords[_a]),b(coords[_b]) {}
alpar@507:   Line(const Arc &e) : a(coords[g.source(e)]),b(coords[g.target(e)]) {}
alpar@507:   Line(const Edge &e) : a(coords[g.u(e)]),b(coords[g.v(e)]) {}
alpar@507: };
alpar@507: 
alpar@507: inline std::ostream& operator<<(std::ostream &os, const Line &l)
alpar@507: {
alpar@507:   os << l.a << "->" << l.b;
alpar@507:   return os;
alpar@507: }
alpar@507: 
alpar@507: bool cross(Line a, Line b)
alpar@507: {
alpar@507:   Point ao=rot90(a.b-a.a);
alpar@507:   Point bo=rot90(b.b-b.a);
alpar@507:   return (ao*(b.a-a.a))*(ao*(b.b-a.a))<0 &&
alpar@507:     (bo*(a.a-b.a))*(bo*(a.b-b.a))<0;
alpar@507: }
alpar@507: 
alpar@507: struct Parc
alpar@507: {
alpar@507:   Node a;
alpar@507:   Node b;
alpar@507:   double len;
alpar@507: };
alpar@507: 
alpar@507: bool pedgeLess(Parc a,Parc b)
alpar@507: {
alpar@507:   return a.len<b.len;
alpar@507: }
alpar@507: 
alpar@507: std::vector<Edge> arcs;
alpar@507: 
alpar@507: namespace _delaunay_bits {
alpar@507: 
alpar@507:   struct Part {
alpar@507:     int prev, curr, next;
alpar@507: 
alpar@507:     Part(int p, int c, int n) : prev(p), curr(c), next(n) {}
alpar@507:   };
alpar@507: 
alpar@507:   inline std::ostream& operator<<(std::ostream& os, const Part& part) {
alpar@507:     os << '(' << part.prev << ',' << part.curr << ',' << part.next << ')';
alpar@507:     return os;
alpar@507:   }
alpar@507: 
alpar@507:   inline double circle_point(const Point& p, const Point& q, const Point& r) {
alpar@507:     double a = p.x * (q.y - r.y) + q.x * (r.y - p.y) + r.x * (p.y - q.y);
alpar@507:     if (a == 0) return std::numeric_limits<double>::quiet_NaN();
alpar@507: 
alpar@507:     double d = (p.x * p.x + p.y * p.y) * (q.y - r.y) +
alpar@507:       (q.x * q.x + q.y * q.y) * (r.y - p.y) +
alpar@507:       (r.x * r.x + r.y * r.y) * (p.y - q.y);
alpar@507: 
alpar@507:     double e = (p.x * p.x + p.y * p.y) * (q.x - r.x) +
alpar@507:       (q.x * q.x + q.y * q.y) * (r.x - p.x) +
alpar@507:       (r.x * r.x + r.y * r.y) * (p.x - q.x);
alpar@507: 
alpar@507:     double f = (p.x * p.x + p.y * p.y) * (q.x * r.y - r.x * q.y) +
alpar@507:       (q.x * q.x + q.y * q.y) * (r.x * p.y - p.x * r.y) +
alpar@507:       (r.x * r.x + r.y * r.y) * (p.x * q.y - q.x * p.y);
alpar@507: 
alpar@507:     return d / (2 * a) + sqrt((d * d + e * e) / (4 * a * a) + f / a);
alpar@507:   }
alpar@507: 
alpar@507:   inline bool circle_form(const Point& p, const Point& q, const Point& r) {
alpar@507:     return rot90(q - p) * (r - q) < 0.0;
alpar@507:   }
alpar@507: 
alpar@507:   inline double intersection(const Point& p, const Point& q, double sx) {
alpar@507:     const double epsilon = 1e-8;
alpar@507: 
alpar@507:     if (p.x == q.x) return (p.y + q.y) / 2.0;
alpar@507: 
alpar@507:     if (sx < p.x + epsilon) return p.y;
alpar@507:     if (sx < q.x + epsilon) return q.y;
alpar@507: 
alpar@507:     double a = q.x - p.x;
alpar@507:     double b = (q.x - sx) * p.y - (p.x - sx) * q.y;
alpar@507:     double d = (q.x - sx) * (p.x - sx) * (p - q).normSquare();
alpar@507:     return (b - sqrt(d)) / a;
alpar@507:   }
alpar@507: 
alpar@507:   struct YLess {
alpar@507: 
alpar@507: 
alpar@507:     YLess(const std::vector<Point>& points, double& sweep)
alpar@507:       : _points(points), _sweep(sweep) {}
alpar@507: 
alpar@507:     bool operator()(const Part& l, const Part& r) const {
alpar@507:       const double epsilon = 1e-8;
alpar@507: 
alpar@507:       //      std::cerr << l << " vs " << r << std::endl;
alpar@507:       double lbx = l.prev != -1 ?
alpar@507:         intersection(_points[l.prev], _points[l.curr], _sweep) :
alpar@507:         - std::numeric_limits<double>::infinity();
alpar@507:       double rbx = r.prev != -1 ?
alpar@507:         intersection(_points[r.prev], _points[r.curr], _sweep) :
alpar@507:         - std::numeric_limits<double>::infinity();
alpar@507:       double lex = l.next != -1 ?
alpar@507:         intersection(_points[l.curr], _points[l.next], _sweep) :
alpar@507:         std::numeric_limits<double>::infinity();
alpar@507:       double rex = r.next != -1 ?
alpar@507:         intersection(_points[r.curr], _points[r.next], _sweep) :
alpar@507:         std::numeric_limits<double>::infinity();
alpar@507: 
alpar@507:       if (lbx > lex) std::swap(lbx, lex);
alpar@507:       if (rbx > rex) std::swap(rbx, rex);
alpar@507: 
alpar@507:       if (lex < epsilon + rex && lbx + epsilon < rex) return true;
alpar@507:       if (rex < epsilon + lex && rbx + epsilon < lex) return false;
alpar@507:       return lex < rex;
alpar@507:     }
alpar@507: 
alpar@507:     const std::vector<Point>& _points;
alpar@507:     double& _sweep;
alpar@507:   };
alpar@507: 
alpar@507:   struct BeachIt;
alpar@507: 
alpar@507:   typedef std::multimap<double, BeachIt> SpikeHeap;
alpar@507: 
alpar@507:   typedef std::multimap<Part, SpikeHeap::iterator, YLess> Beach;
alpar@507: 
alpar@507:   struct BeachIt {
alpar@507:     Beach::iterator it;
alpar@507: 
alpar@507:     BeachIt(Beach::iterator iter) : it(iter) {}
alpar@507:   };
alpar@507: 
alpar@507: }
alpar@507: 
alpar@507: inline void delaunay() {
alpar@507:   Counter cnt("Number of arcs added: ");
alpar@507: 
alpar@507:   using namespace _delaunay_bits;
alpar@507: 
alpar@507:   typedef _delaunay_bits::Part Part;
alpar@507:   typedef std::vector<std::pair<double, int> > SiteHeap;
alpar@507: 
alpar@507: 
alpar@507:   std::vector<Point> points;
alpar@507:   std::vector<Node> nodes;
alpar@507: 
alpar@507:   for (NodeIt it(g); it != INVALID; ++it) {
alpar@507:     nodes.push_back(it);
alpar@507:     points.push_back(coords[it]);
alpar@507:   }
alpar@507: 
alpar@507:   SiteHeap siteheap(points.size());
alpar@507: 
alpar@507:   double sweep;
alpar@507: 
alpar@507: 
alpar@507:   for (int i = 0; i < int(siteheap.size()); ++i) {
alpar@507:     siteheap[i] = std::make_pair(points[i].x, i);
alpar@507:   }
alpar@507: 
alpar@507:   std::sort(siteheap.begin(), siteheap.end());
alpar@507:   sweep = siteheap.front().first;
alpar@507: 
alpar@507:   YLess yless(points, sweep);
alpar@507:   Beach beach(yless);
alpar@507: 
alpar@507:   SpikeHeap spikeheap;
alpar@507: 
alpar@507:   std::set<std::pair<int, int> > arcs;
alpar@507: 
alpar@507:   int siteindex = 0;
alpar@507:   {
alpar@507:     SiteHeap front;
alpar@507: 
alpar@507:     while (siteindex < int(siteheap.size()) &&
alpar@507:            siteheap[0].first == siteheap[siteindex].first) {
alpar@507:       front.push_back(std::make_pair(points[siteheap[siteindex].second].y,
alpar@507:                                      siteheap[siteindex].second));
alpar@507:       ++siteindex;
alpar@507:     }
alpar@507: 
alpar@507:     std::sort(front.begin(), front.end());
alpar@507: 
alpar@507:     for (int i = 0; i < int(front.size()); ++i) {
alpar@507:       int prev = (i == 0 ? -1 : front[i - 1].second);
alpar@507:       int curr = front[i].second;
alpar@507:       int next = (i + 1 == int(front.size()) ? -1 : front[i + 1].second);
alpar@507: 
alpar@507:       beach.insert(std::make_pair(Part(prev, curr, next),
alpar@507:                                   spikeheap.end()));
alpar@507:     }
alpar@507:   }
alpar@507: 
alpar@507:   while (siteindex < int(points.size()) || !spikeheap.empty()) {
alpar@507: 
alpar@507:     SpikeHeap::iterator spit = spikeheap.begin();
alpar@507: 
alpar@507:     if (siteindex < int(points.size()) &&
alpar@507:         (spit == spikeheap.end() || siteheap[siteindex].first < spit->first)) {
alpar@507:       int site = siteheap[siteindex].second;
alpar@507:       sweep = siteheap[siteindex].first;
alpar@507: 
alpar@507:       Beach::iterator bit = beach.upper_bound(Part(site, site, site));
alpar@507: 
alpar@507:       if (bit->second != spikeheap.end()) {
alpar@507:         spikeheap.erase(bit->second);
alpar@507:       }
alpar@507: 
alpar@507:       int prev = bit->first.prev;
alpar@507:       int curr = bit->first.curr;
alpar@507:       int next = bit->first.next;
alpar@507: 
alpar@507:       beach.erase(bit);
alpar@507: 
alpar@507:       SpikeHeap::iterator pit = spikeheap.end();
alpar@507:       if (prev != -1 &&
alpar@507:           circle_form(points[prev], points[curr], points[site])) {
alpar@507:         double x = circle_point(points[prev], points[curr], points[site]);
alpar@507:         pit = spikeheap.insert(std::make_pair(x, BeachIt(beach.end())));
alpar@507:         pit->second.it =
alpar@507:           beach.insert(std::make_pair(Part(prev, curr, site), pit));
alpar@507:       } else {
alpar@507:         beach.insert(std::make_pair(Part(prev, curr, site), pit));
alpar@507:       }
alpar@507: 
alpar@507:       beach.insert(std::make_pair(Part(curr, site, curr), spikeheap.end()));
alpar@507: 
alpar@507:       SpikeHeap::iterator nit = spikeheap.end();
alpar@507:       if (next != -1 &&
alpar@507:           circle_form(points[site], points[curr],points[next])) {
alpar@507:         double x = circle_point(points[site], points[curr], points[next]);
alpar@507:         nit = spikeheap.insert(std::make_pair(x, BeachIt(beach.end())));
alpar@507:         nit->second.it =
alpar@507:           beach.insert(std::make_pair(Part(site, curr, next), nit));
alpar@507:       } else {
alpar@507:         beach.insert(std::make_pair(Part(site, curr, next), nit));
alpar@507:       }
alpar@507: 
alpar@507:       ++siteindex;
alpar@507:     } else {
alpar@507:       sweep = spit->first;
alpar@507: 
alpar@507:       Beach::iterator bit = spit->second.it;
alpar@507: 
alpar@507:       int prev = bit->first.prev;
alpar@507:       int curr = bit->first.curr;
alpar@507:       int next = bit->first.next;
alpar@507: 
alpar@507:       {
alpar@507:         std::pair<int, int> arc;
alpar@507: 
alpar@507:         arc = prev < curr ?
alpar@507:           std::make_pair(prev, curr) : std::make_pair(curr, prev);
alpar@507: 
alpar@507:         if (arcs.find(arc) == arcs.end()) {
alpar@507:           arcs.insert(arc);
alpar@507:           g.addEdge(nodes[prev], nodes[curr]);
alpar@507:           ++cnt;
alpar@507:         }
alpar@507: 
alpar@507:         arc = curr < next ?
alpar@507:           std::make_pair(curr, next) : std::make_pair(next, curr);
alpar@507: 
alpar@507:         if (arcs.find(arc) == arcs.end()) {
alpar@507:           arcs.insert(arc);
alpar@507:           g.addEdge(nodes[curr], nodes[next]);
alpar@507:           ++cnt;
alpar@507:         }
alpar@507:       }
alpar@507: 
alpar@507:       Beach::iterator pbit = bit; --pbit;
alpar@507:       int ppv = pbit->first.prev;
alpar@507:       Beach::iterator nbit = bit; ++nbit;
alpar@507:       int nnt = nbit->first.next;
alpar@507: 
alpar@507:       if (bit->second != spikeheap.end()) spikeheap.erase(bit->second);
alpar@507:       if (pbit->second != spikeheap.end()) spikeheap.erase(pbit->second);
alpar@507:       if (nbit->second != spikeheap.end()) spikeheap.erase(nbit->second);
alpar@507: 
alpar@507:       beach.erase(nbit);
alpar@507:       beach.erase(bit);
alpar@507:       beach.erase(pbit);
alpar@507: 
alpar@507:       SpikeHeap::iterator pit = spikeheap.end();
alpar@507:       if (ppv != -1 && ppv != next &&
alpar@507:           circle_form(points[ppv], points[prev], points[next])) {
alpar@507:         double x = circle_point(points[ppv], points[prev], points[next]);
alpar@507:         if (x < sweep) x = sweep;
alpar@507:         pit = spikeheap.insert(std::make_pair(x, BeachIt(beach.end())));
alpar@507:         pit->second.it =
alpar@507:           beach.insert(std::make_pair(Part(ppv, prev, next), pit));
alpar@507:       } else {
alpar@507:         beach.insert(std::make_pair(Part(ppv, prev, next), pit));
alpar@507:       }
alpar@507: 
alpar@507:       SpikeHeap::iterator nit = spikeheap.end();
alpar@507:       if (nnt != -1 && prev != nnt &&
alpar@507:           circle_form(points[prev], points[next], points[nnt])) {
alpar@507:         double x = circle_point(points[prev], points[next], points[nnt]);
alpar@507:         if (x < sweep) x = sweep;
alpar@507:         nit = spikeheap.insert(std::make_pair(x, BeachIt(beach.end())));
alpar@507:         nit->second.it =
alpar@507:           beach.insert(std::make_pair(Part(prev, next, nnt), nit));
alpar@507:       } else {
alpar@507:         beach.insert(std::make_pair(Part(prev, next, nnt), nit));
alpar@507:       }
alpar@507: 
alpar@507:     }
alpar@507:   }
alpar@507: 
alpar@507:   for (Beach::iterator it = beach.begin(); it != beach.end(); ++it) {
alpar@507:     int curr = it->first.curr;
alpar@507:     int next = it->first.next;
alpar@507: 
alpar@507:     if (next == -1) continue;
alpar@507: 
alpar@507:     std::pair<int, int> arc;
alpar@507: 
alpar@507:     arc = curr < next ?
alpar@507:       std::make_pair(curr, next) : std::make_pair(next, curr);
alpar@507: 
alpar@507:     if (arcs.find(arc) == arcs.end()) {
alpar@507:       arcs.insert(arc);
alpar@507:       g.addEdge(nodes[curr], nodes[next]);
alpar@507:       ++cnt;
alpar@507:     }
alpar@507:   }
alpar@507: }
alpar@507: 
alpar@507: void sparse(int d)
alpar@507: {
alpar@507:   Counter cnt("Number of arcs removed: ");
alpar@507:   Bfs<ListGraph> bfs(g);
alpar@507:   for(std::vector<Edge>::reverse_iterator ei=arcs.rbegin();
alpar@507:       ei!=arcs.rend();++ei)
alpar@507:     {
alpar@507:       Node a=g.u(*ei);
alpar@507:       Node b=g.v(*ei);
alpar@507:       g.erase(*ei);
alpar@507:       bfs.run(a,b);
alpar@507:       if(bfs.predArc(b)==INVALID || bfs.dist(b)>d)
alpar@507:         g.addEdge(a,b);
alpar@507:       else cnt++;
alpar@507:     }
alpar@507: }
alpar@507: 
alpar@507: void sparse2(int d)
alpar@507: {
alpar@507:   Counter cnt("Number of arcs removed: ");
alpar@507:   for(std::vector<Edge>::reverse_iterator ei=arcs.rbegin();
alpar@507:       ei!=arcs.rend();++ei)
alpar@507:     {
alpar@507:       Node a=g.u(*ei);
alpar@507:       Node b=g.v(*ei);
alpar@507:       g.erase(*ei);
alpar@507:       ConstMap<Arc,int> cegy(1);
alpar@507:       Suurballe<ListGraph,ConstMap<Arc,int> > sur(g,cegy,a,b);
alpar@507:       int k=sur.run(2);
alpar@507:       if(k<2 || sur.totalLength()>d)
alpar@507:         g.addEdge(a,b);
alpar@507:       else cnt++;
alpar@507: //       else std::cout << "Remove arc " << g.id(a) << "-" << g.id(b) << '\n';
alpar@507:     }
alpar@507: }
alpar@507: 
alpar@507: void sparseTriangle(int d)
alpar@507: {
alpar@507:   Counter cnt("Number of arcs added: ");
alpar@507:   std::vector<Parc> pedges;
alpar@507:   for(NodeIt n(g);n!=INVALID;++n)
alpar@507:     for(NodeIt m=++(NodeIt(n));m!=INVALID;++m)
alpar@507:       {
alpar@507:         Parc p;
alpar@507:         p.a=n;
alpar@507:         p.b=m;
alpar@507:         p.len=(coords[m]-coords[n]).normSquare();
alpar@507:         pedges.push_back(p);
alpar@507:       }
alpar@507:   std::sort(pedges.begin(),pedges.end(),pedgeLess);
alpar@507:   for(std::vector<Parc>::iterator pi=pedges.begin();pi!=pedges.end();++pi)
alpar@507:     {
alpar@507:       Line li(pi->a,pi->b);
alpar@507:       EdgeIt e(g);
alpar@507:       for(;e!=INVALID && !cross(e,li);++e) ;
alpar@507:       Edge ne;
alpar@507:       if(e==INVALID) {
alpar@507:         ConstMap<Arc,int> cegy(1);
alpar@507:         Suurballe<ListGraph,ConstMap<Arc,int> >
alpar@507:           sur(g,cegy,pi->a,pi->b);
alpar@507:         int k=sur.run(2);
alpar@507:         if(k<2 || sur.totalLength()>d)
alpar@507:           {
alpar@507:             ne=g.addEdge(pi->a,pi->b);
alpar@507:             arcs.push_back(ne);
alpar@507:             cnt++;
alpar@507:           }
alpar@507:       }
alpar@507:     }
alpar@507: }
alpar@507: 
alpar@507: template <typename Graph, typename CoordMap>
alpar@507: class LengthSquareMap {
alpar@507: public:
alpar@507:   typedef typename Graph::Edge Key;
alpar@507:   typedef typename CoordMap::Value::Value Value;
alpar@507: 
alpar@507:   LengthSquareMap(const Graph& graph, const CoordMap& coords)
alpar@507:     : _graph(graph), _coords(coords) {}
alpar@507: 
alpar@507:   Value operator[](const Key& key) const {
alpar@507:     return (_coords[_graph.v(key)] -
alpar@507:             _coords[_graph.u(key)]).normSquare();
alpar@507:   }
alpar@507: 
alpar@507: private:
alpar@507: 
alpar@507:   const Graph& _graph;
alpar@507:   const CoordMap& _coords;
alpar@507: };
alpar@507: 
alpar@507: void minTree() {
alpar@507:   std::vector<Parc> pedges;
alpar@507:   Timer T;
alpar@507:   std::cout << T.realTime() << "s: Creating delaunay triangulation...\n";
alpar@507:   delaunay();
alpar@507:   std::cout << T.realTime() << "s: Calculating spanning tree...\n";
alpar@507:   LengthSquareMap<ListGraph, ListGraph::NodeMap<Point> > ls(g, coords);
alpar@507:   ListGraph::EdgeMap<bool> tree(g);
alpar@507:   kruskal(g, ls, tree);
alpar@507:   std::cout << T.realTime() << "s: Removing non tree arcs...\n";
alpar@507:   std::vector<Edge> remove;
alpar@507:   for (EdgeIt e(g); e != INVALID; ++e) {
alpar@507:     if (!tree[e]) remove.push_back(e);
alpar@507:   }
alpar@507:   for(int i = 0; i < int(remove.size()); ++i) {
alpar@507:     g.erase(remove[i]);
alpar@507:   }
alpar@507:   std::cout << T.realTime() << "s: Done\n";
alpar@507: }
alpar@507: 
alpar@507: void tsp2()
alpar@507: {
alpar@507:   std::cout << "Find a tree..." << std::endl;
alpar@507: 
alpar@507:   minTree();
alpar@507: 
alpar@507:   std::cout << "Total arc length (tree) : " << totalLen() << std::endl;
alpar@507: 
alpar@507:   std::cout << "Make it Euler..." << std::endl;
alpar@507: 
alpar@507:   {
alpar@507:     std::vector<Node> leafs;
alpar@507:     for(NodeIt n(g);n!=INVALID;++n)
alpar@507:       if(countIncEdges(g,n)%2==1) leafs.push_back(n);
alpar@507: 
alpar@507: //    for(unsigned int i=0;i<leafs.size();i+=2)
alpar@507: //       g.addArc(leafs[i],leafs[i+1]);
alpar@507: 
alpar@507:     std::vector<Parc> pedges;
alpar@507:     for(unsigned int i=0;i<leafs.size()-1;i++)
alpar@507:       for(unsigned int j=i+1;j<leafs.size();j++)
alpar@507:         {
alpar@507:           Node n=leafs[i];
alpar@507:           Node m=leafs[j];
alpar@507:           Parc p;
alpar@507:           p.a=n;
alpar@507:           p.b=m;
alpar@507:           p.len=(coords[m]-coords[n]).normSquare();
alpar@507:           pedges.push_back(p);
alpar@507:         }
alpar@507:     std::sort(pedges.begin(),pedges.end(),pedgeLess);
alpar@507:     for(unsigned int i=0;i<pedges.size();i++)
alpar@507:       if(countIncEdges(g,pedges[i].a)%2 &&
alpar@507:          countIncEdges(g,pedges[i].b)%2)
alpar@507:         g.addEdge(pedges[i].a,pedges[i].b);
alpar@507:   }
alpar@507: 
alpar@507:   for(NodeIt n(g);n!=INVALID;++n)
alpar@507:     if(countIncEdges(g,n)%2 || countIncEdges(g,n)==0 )
alpar@507:       std::cout << "GEBASZ!!!" << std::endl;
alpar@507: 
alpar@507:   for(EdgeIt e(g);e!=INVALID;++e)
alpar@507:     if(g.u(e)==g.v(e))
alpar@507:       std::cout << "LOOP GEBASZ!!!" << std::endl;
alpar@507: 
alpar@507:   std::cout << "Number of arcs : " << countEdges(g) << std::endl;
alpar@507: 
alpar@507:   std::cout << "Total arc length (euler) : " << totalLen() << std::endl;
alpar@507: 
alpar@507:   ListGraph::EdgeMap<Arc> enext(g);
alpar@507:   {
alpar@507:     EulerIt<ListGraph> e(g);
alpar@507:     Arc eo=e;
alpar@507:     Arc ef=e;
alpar@507: //     std::cout << "Tour arc: " << g.id(Edge(e)) << std::endl;
alpar@507:     for(++e;e!=INVALID;++e)
alpar@507:       {
alpar@507: //         std::cout << "Tour arc: " << g.id(Edge(e)) << std::endl;
alpar@507:         enext[eo]=e;
alpar@507:         eo=e;
alpar@507:       }
alpar@507:     enext[eo]=ef;
alpar@507:   }
alpar@507: 
alpar@507:   std::cout << "Creating a tour from that..." << std::endl;
alpar@507: 
alpar@507:   int nnum = countNodes(g);
alpar@507:   int ednum = countEdges(g);
alpar@507: 
alpar@507:   for(Arc p=enext[EdgeIt(g)];ednum>nnum;p=enext[p])
alpar@507:     {
alpar@507: //       std::cout << "Checking arc " << g.id(p) << std::endl;
alpar@507:       Arc e=enext[p];
alpar@507:       Arc f=enext[e];
alpar@507:       Node n2=g.source(f);
alpar@507:       Node n1=g.oppositeNode(n2,e);
alpar@507:       Node n3=g.oppositeNode(n2,f);
alpar@507:       if(countIncEdges(g,n2)>2)
alpar@507:         {
alpar@507: //           std::cout << "Remove an Arc" << std::endl;
alpar@507:           Arc ff=enext[f];
alpar@507:           g.erase(e);
alpar@507:           g.erase(f);
alpar@507:           if(n1!=n3)
alpar@507:             {
alpar@507:               Arc ne=g.direct(g.addEdge(n1,n3),n1);
alpar@507:               enext[p]=ne;
alpar@507:               enext[ne]=ff;
alpar@507:               ednum--;
alpar@507:             }
alpar@507:           else {
alpar@507:             enext[p]=ff;
alpar@507:             ednum-=2;
alpar@507:           }
alpar@507:         }
alpar@507:     }
alpar@507: 
alpar@507:   std::cout << "Total arc length (tour) : " << totalLen() << std::endl;
alpar@507: 
alpar@507:   std::cout << "2-opt the tour..." << std::endl;
alpar@507: 
alpar@507:   tsp_improve();
alpar@507: 
alpar@507:   std::cout << "Total arc length (2-opt tour) : " << totalLen() << std::endl;
alpar@507: }
alpar@507: 
alpar@507: 
alpar@507: int main(int argc,const char **argv)
alpar@507: {
alpar@507:   ArgParser ap(argc,argv);
alpar@507: 
alpar@507: //   bool eps;
alpar@507:   bool disc_d, square_d, gauss_d;
alpar@507: //   bool tsp_a,two_a,tree_a;
alpar@507:   int num_of_cities=1;
alpar@507:   double area=1;
alpar@507:   N=100;
alpar@507: //   girth=10;
alpar@507:   std::string ndist("disc");
alpar@507:   ap.refOption("n", "Number of nodes (default is 100)", N)
alpar@507:     .intOption("g", "Girth parameter (default is 10)", 10)
alpar@507:     .refOption("cities", "Number of cities (default is 1)", num_of_cities)
alpar@507:     .refOption("area", "Full relative area of the cities (default is 1)", area)
alpar@507:     .refOption("disc", "Nodes are evenly distributed on a unit disc (default)",disc_d)
alpar@507:     .optionGroup("dist", "disc")
alpar@507:     .refOption("square", "Nodes are evenly distributed on a unit square", square_d)
alpar@507:     .optionGroup("dist", "square")
alpar@507:     .refOption("gauss",
alpar@507:             "Nodes are located according to a two-dim gauss distribution",
alpar@507:             gauss_d)
alpar@507:     .optionGroup("dist", "gauss")
alpar@507: //     .mandatoryGroup("dist")
alpar@507:     .onlyOneGroup("dist")
alpar@507:     .boolOption("eps", "Also generate .eps output (prefix.eps)")
alpar@508:     .boolOption("nonodes", "Draw the edges only in the generated .eps")
alpar@507:     .boolOption("dir", "Directed digraph is generated (each arcs are replaced by two directed ones)")
alpar@507:     .boolOption("2con", "Create a two connected planar digraph")
alpar@507:     .optionGroup("alg","2con")
alpar@507:     .boolOption("tree", "Create a min. cost spanning tree")
alpar@507:     .optionGroup("alg","tree")
alpar@507:     .boolOption("tsp", "Create a TSP tour")
alpar@507:     .optionGroup("alg","tsp")
alpar@507:     .boolOption("tsp2", "Create a TSP tour (tree based)")
alpar@507:     .optionGroup("alg","tsp2")
alpar@507:     .boolOption("dela", "Delaunay triangulation digraph")
alpar@507:     .optionGroup("alg","dela")
alpar@507:     .onlyOneGroup("alg")
alpar@507:     .boolOption("rand", "Use time seed for random number generator")
alpar@507:     .optionGroup("rand", "rand")
alpar@507:     .intOption("seed", "Random seed", -1)
alpar@507:     .optionGroup("rand", "seed")
alpar@507:     .onlyOneGroup("rand")
alpar@507:     .other("[prefix]","Prefix of the output files. Default is 'lgf-gen-out'")
alpar@507:     .run();
alpar@507: 
alpar@507:   if (ap["rand"]) {
alpar@507:     int seed = time(0);
alpar@507:     std::cout << "Random number seed: " << seed << std::endl;
alpar@507:     rnd = Random(seed);
alpar@507:   }
alpar@507:   if (ap.given("seed")) {
alpar@507:     int seed = ap["seed"];
alpar@507:     std::cout << "Random number seed: " << seed << std::endl;
alpar@507:     rnd = Random(seed);
alpar@507:   }
alpar@507: 
alpar@507:   std::string prefix;
alpar@507:   switch(ap.files().size())
alpar@507:     {
alpar@507:     case 0:
alpar@507:       prefix="lgf-gen-out";
alpar@507:       break;
alpar@507:     case 1:
alpar@507:       prefix=ap.files()[0];
alpar@507:       break;
alpar@507:     default:
alpar@507:       std::cerr << "\nAt most one prefix can be given\n\n";
alpar@507:       exit(1);
alpar@507:     }
alpar@507: 
alpar@507:   double sum_sizes=0;
alpar@507:   std::vector<double> sizes;
alpar@507:   std::vector<double> cum_sizes;
alpar@507:   for(int s=0;s<num_of_cities;s++)
alpar@507:     {
alpar@507:       //         sum_sizes+=rnd.exponential();
alpar@507:       double d=rnd();
alpar@507:       sum_sizes+=d;
alpar@507:       sizes.push_back(d);
alpar@507:       cum_sizes.push_back(sum_sizes);
alpar@507:     }
alpar@507:   int i=0;
alpar@507:   for(int s=0;s<num_of_cities;s++)
alpar@507:     {
alpar@507:       Point center=(num_of_cities==1?Point(0,0):rnd.disc());
alpar@507:       if(gauss_d)
alpar@507:         for(;i<N*(cum_sizes[s]/sum_sizes);i++) {
alpar@507:           Node n=g.addNode();
alpar@507:           nodes.push_back(n);
alpar@507:           coords[n]=center+rnd.gauss2()*area*
alpar@507:             std::sqrt(sizes[s]/sum_sizes);
alpar@507:         }
alpar@507:       else if(square_d)
alpar@507:         for(;i<N*(cum_sizes[s]/sum_sizes);i++) {
alpar@507:           Node n=g.addNode();
alpar@507:           nodes.push_back(n);
alpar@507:           coords[n]=center+Point(rnd()*2-1,rnd()*2-1)*area*
alpar@507:             std::sqrt(sizes[s]/sum_sizes);
alpar@507:         }
alpar@507:       else if(disc_d || true)
alpar@507:         for(;i<N*(cum_sizes[s]/sum_sizes);i++) {
alpar@507:           Node n=g.addNode();
alpar@507:           nodes.push_back(n);
alpar@507:           coords[n]=center+rnd.disc()*area*
alpar@507:             std::sqrt(sizes[s]/sum_sizes);
alpar@507:         }
alpar@507:     }
alpar@507: 
alpar@507: //   for (ListGraph::NodeIt n(g); n != INVALID; ++n) {
alpar@507: //     std::cerr << coords[n] << std::endl;
alpar@507: //   }
alpar@507: 
alpar@507:   if(ap["tsp"]) {
alpar@507:     tsp();
alpar@507:     std::cout << "#2-opt improvements: " << tsp_impr_num << std::endl;
alpar@507:   }
alpar@507:   if(ap["tsp2"]) {
alpar@507:     tsp2();
alpar@507:     std::cout << "#2-opt improvements: " << tsp_impr_num << std::endl;
alpar@507:   }
alpar@507:   else if(ap["2con"]) {
alpar@507:     std::cout << "Make triangles\n";
alpar@507:     //   triangle();
alpar@507:     sparseTriangle(ap["g"]);
alpar@507:     std::cout << "Make it sparser\n";
alpar@507:     sparse2(ap["g"]);
alpar@507:   }
alpar@507:   else if(ap["tree"]) {
alpar@507:     minTree();
alpar@507:   }
alpar@507:   else if(ap["dela"]) {
alpar@507:     delaunay();
alpar@507:   }
alpar@507: 
alpar@507: 
alpar@507:   std::cout << "Number of nodes    : " << countNodes(g) << std::endl;
alpar@507:   std::cout << "Number of arcs    : " << countEdges(g) << std::endl;
alpar@507:   double tlen=0;
alpar@507:   for(EdgeIt e(g);e!=INVALID;++e)
alpar@507:     tlen+=sqrt((coords[g.v(e)]-coords[g.u(e)]).normSquare());
alpar@507:   std::cout << "Total arc length  : " << tlen << std::endl;
alpar@507: 
alpar@507:   if(ap["eps"])
alpar@507:     graphToEps(g,prefix+".eps").scaleToA4().
alpar@507:       scale(600).nodeScale(.005).arcWidthScale(.001).preScale(false).
alpar@508:       coords(coords).hideNodes(ap.given("nonodes")).run();
alpar@507: 
alpar@507:   if(ap["dir"])
alpar@507:     DigraphWriter<ListGraph>(g,prefix+".lgf").
alpar@507:       nodeMap("coordinates_x",scaleMap(xMap(coords),600)).
alpar@507:       nodeMap("coordinates_y",scaleMap(yMap(coords),600)).
alpar@507:       run();
alpar@507:   else GraphWriter<ListGraph>(g,prefix+".lgf").
alpar@507:          nodeMap("coordinates_x",scaleMap(xMap(coords),600)).
alpar@507:          nodeMap("coordinates_y",scaleMap(yMap(coords),600)).
alpar@507:          run();
alpar@507: }
alpar@507: