demo/topology_demo.cc
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     1 /* -*- C++ -*-
       
     2  * demo/min_route.cc - Part of LEMON, a generic C++ optimization library
       
     3  *
       
     4  * Copyright (C) 2005 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
       
     5  * (Egervary Research Group on Combinatorial Optimization, EGRES).
       
     6  *
       
     7  * Permission to use, modify and distribute this software is granted
       
     8  * provided that this copyright notice appears in all copies. For
       
     9  * precise terms see the accompanying LICENSE file.
       
    10  *
       
    11  * This software is provided "AS IS" with no warranty of any kind,
       
    12  * express or implied, and with no claim as to its suitability for any
       
    13  * purpose.
       
    14  *
       
    15  */
       
    16 
       
    17 #include <lemon/list_graph.h>
       
    18 #include <lemon/topology.h>
       
    19 #include <lemon/graph_to_eps.h>
       
    20 #include <lemon/graph_reader.h>
       
    21 #include <lemon/xy.h>
       
    22 
       
    23 #include <iostream>
       
    24 
       
    25 #include <cstdlib>
       
    26 #include <ctime>
       
    27 
       
    28 /// \ingroup demos
       
    29 /// \file
       
    30 /// \brief Demo what shows the result of some topology functions.
       
    31 ///
       
    32 ///  Demo what shows the result of some topology functions.
       
    33 ///
       
    34 /// \include topology_demo.cc
       
    35 
       
    36 using namespace lemon;
       
    37 using namespace std;
       
    38 
       
    39 
       
    40 Color color(bool val) {
       
    41   return val ? Color(1.0, 0.0, 0.0) : Color(0.0, 0.0, 1.0);
       
    42 }
       
    43 
       
    44 
       
    45 void drawConnectedComponents() {
       
    46   typedef UndirListGraph Graph;
       
    47   typedef Graph::Node Node;
       
    48 
       
    49   Graph graph;
       
    50   Graph::NodeMap<xy<double> > coords(graph);
       
    51 
       
    52   UndirGraphReader<Graph>("undir_components.lgf", graph).
       
    53     readNodeMap("coordinates_x", xMap(coords)).
       
    54     readNodeMap("coordinates_y", yMap(coords)).
       
    55     run();
       
    56   
       
    57   ColorSet colorSet;
       
    58 
       
    59   Graph::NodeMap<int> compMap(graph);
       
    60   connectedComponents(graph, compMap);
       
    61 
       
    62   graphToEps(graph, "connected_components.eps").undir().
       
    63     coords(coords).scaleToA4().enableParallel().
       
    64     parEdgeDist(20.0).edgeWidthScale(2.0).nodeScale(20.0).
       
    65     nodeColors(composeMap(colorSet, compMap)).run();
       
    66 
       
    67   std::cout << "Result: connected_components.eps" << std::endl;
       
    68 }
       
    69 
       
    70 void drawStronglyConnectedComponents() {
       
    71   typedef ListGraph Graph;
       
    72   typedef Graph::Node Node;
       
    73 
       
    74   Graph graph;
       
    75   Graph::NodeMap<xy<double> > coords(graph);
       
    76 
       
    77   GraphReader<Graph>("dir_components.lgf", graph).
       
    78     readNodeMap("coordinates_x", xMap(coords)).
       
    79     readNodeMap("coordinates_y", yMap(coords)).
       
    80     run();
       
    81   
       
    82   ColorSet colorSet;
       
    83 
       
    84   Graph::NodeMap<int> compMap(graph);
       
    85   Graph::EdgeMap<bool> cutMap(graph);
       
    86   stronglyConnectedComponents(graph, compMap);
       
    87   stronglyConnectedCutEdges(graph, cutMap);
       
    88 
       
    89   graphToEps(graph, "strongly_connected_components.eps").
       
    90     coords(coords).scaleToA4().enableParallel().
       
    91     drawArrows().arrowWidth(10.0).arrowLength(10.0).
       
    92     parEdgeDist(20.0).edgeWidthScale(2.0).nodeScale(20.0).
       
    93     nodeColors(composeMap(colorSet, compMap)).
       
    94     edgeColors(composeMap(functorMap(&color), cutMap)).run();
       
    95 
       
    96   std::cout << "Result: strongly_connected_components.eps" << std::endl;
       
    97 }
       
    98 
       
    99 void drawNodeBiconnectedComponents() {
       
   100   typedef UndirListGraph Graph;
       
   101   typedef Graph::Node Node;
       
   102   typedef Graph::UndirEdge UndirEdge;
       
   103 
       
   104   Graph graph;
       
   105   Graph::NodeMap<xy<double> > coords(graph);
       
   106 
       
   107   UndirGraphReader<Graph>("undir_components.lgf", graph).
       
   108     readNodeMap("coordinates_x", xMap(coords)).
       
   109     readNodeMap("coordinates_y", yMap(coords)).
       
   110     run();
       
   111 
       
   112   ColorSet colorSet;
       
   113 
       
   114   Graph::UndirEdgeMap<int> compMap(graph);
       
   115   Graph::NodeMap<bool> cutMap(graph);
       
   116   biNodeConnectedComponents(graph, compMap);
       
   117   biNodeConnectedCutNodes(graph, cutMap);
       
   118   graphToEps(graph, "bi_node_connected_components.eps").undir().
       
   119     coords(coords).scaleToA4().enableParallel().
       
   120     parEdgeDist(20.0).edgeWidthScale(5.0).nodeScale(20.0).
       
   121     edgeColors(composeMap(colorSet, compMap)).
       
   122     nodeColors(composeMap(functorMap(&color), cutMap)).
       
   123     run();
       
   124 
       
   125   std::cout << "Result: bi_node_connected_components.eps" << std::endl;
       
   126 }
       
   127 
       
   128 void drawEdgeBiconnectedComponents() {
       
   129   typedef UndirListGraph Graph;
       
   130   typedef Graph::Node Node;
       
   131   typedef Graph::UndirEdge UndirEdge;
       
   132 
       
   133   Graph graph;
       
   134   Graph::NodeMap<xy<double> > coords(graph);
       
   135 
       
   136   UndirGraphReader<Graph>("undir_components.lgf", graph).
       
   137     readNodeMap("coordinates_x", xMap(coords)).
       
   138     readNodeMap("coordinates_y", yMap(coords)).
       
   139     run();
       
   140   
       
   141   ColorSet colorSet;
       
   142 
       
   143   Graph::NodeMap<int> compMap(graph);
       
   144   Graph::UndirEdgeMap<bool> cutMap(graph);
       
   145   biEdgeConnectedComponents(graph, compMap);
       
   146   biEdgeConnectedCutEdges(graph, cutMap);
       
   147 
       
   148   graphToEps(graph, "bi_edge_connected_components.eps").undir().
       
   149     coords(coords).scaleToA4().enableParallel().
       
   150     parEdgeDist(20.0).edgeWidthScale(2.0).nodeScale(20.0).
       
   151     nodeColors(composeMap(colorSet, compMap)).
       
   152     edgeColors(composeMap(functorMap(&color), cutMap)).run();
       
   153   
       
   154   std::cout << "Result: bi_edge_connected_components.eps" << std::endl;
       
   155 }
       
   156 
       
   157 void drawBipartitePartitions() {
       
   158   typedef UndirListGraph Graph;
       
   159   typedef Graph::Node Node;
       
   160   typedef Graph::UndirEdge UndirEdge;
       
   161 
       
   162   Graph graph;
       
   163   Graph::NodeMap<xy<double> > coords(graph);
       
   164 
       
   165   UndirGraphReader<Graph>("partitions.lgf", graph).
       
   166     readNodeMap("coordinates_x", xMap(coords)).
       
   167     readNodeMap("coordinates_y", yMap(coords)).
       
   168     run();
       
   169   
       
   170   ColorSet colorSet;
       
   171 
       
   172   Graph::NodeMap<bool> partMap(graph);
       
   173   bipartitePartitions(graph, partMap);
       
   174 
       
   175   graphToEps(graph, "bipartite_partitions.eps").undir().
       
   176     coords(coords).scaleToA4().enableParallel().
       
   177     parEdgeDist(20.0).edgeWidthScale(2.0).nodeScale(20.0).
       
   178     nodeColors(composeMap(functorMap(&color), partMap)).run();
       
   179   
       
   180   std::cout << "Result: bipartite_partitions.eps" << std::endl;
       
   181 } 
       
   182 
       
   183 int main() {
       
   184   srand(time(0));
       
   185 
       
   186   drawConnectedComponents();
       
   187   drawStronglyConnectedComponents();
       
   188   drawNodeBiconnectedComponents();
       
   189   drawEdgeBiconnectedComponents();
       
   190   drawBipartitePartitions();
       
   191   return 0;
       
   192 }