/* -*- mode: C++; indent-tabs-mode: nil; -*-

  *

  * This file is a part of LEMON, a generic C++ optimization library.

  *

  * Copyright (C) 2003-2009

  * 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.

  *

  */

 #include <lemon/connectivity.h>

 #include <lemon/list_graph.h>

 #include <lemon/adaptors.h>

 #include "test_tools.h"

 using namespace lemon;

 int main()

 {

   typedef ListDigraph Digraph;

   typedef Undirector<Digraph> Graph;

   {

     Digraph d;

     Digraph::NodeMap<int> order(d);

     Graph g(d);

     check(stronglyConnected(d), "The empty digraph is strongly connected");

     check(countStronglyConnectedComponents(d) == 0,

           "The empty digraph has 0 strongly connected component");

     check(connected(g), "The empty graph is connected");

     check(countConnectedComponents(g) == 0,

           "The empty graph has 0 connected component");

     check(biNodeConnected(g), "The empty graph is bi-node-connected");

     check(countBiNodeConnectedComponents(g) == 0,

           "The empty graph has 0 bi-node-connected component");

     check(biEdgeConnected(g), "The empty graph is bi-edge-connected");

     check(countBiEdgeConnectedComponents(g) == 0,

           "The empty graph has 0 bi-edge-connected component");

     check(dag(d), "The empty digraph is DAG.");

     check(checkedTopologicalSort(d, order), "The empty digraph is DAG.");

     check(loopFree(d), "The empty digraph is loop-free.");

     check(parallelFree(d), "The empty digraph is parallel-free.");

     check(simpleGraph(d), "The empty digraph is simple.");

     check(acyclic(g), "The empty graph is acyclic.");

     check(tree(g), "The empty graph is tree.");

     check(bipartite(g), "The empty graph is bipartite.");

     check(loopFree(g), "The empty graph is loop-free.");

     check(parallelFree(g), "The empty graph is parallel-free.");

     check(simpleGraph(g), "The empty graph is simple.");

   }

   {

     Digraph d;

     Digraph::NodeMap<int> order(d);

     Graph g(d);

     Digraph::Node n = d.addNode();

     ::lemon::ignore_unused_variable_warning(n);

     check(stronglyConnected(d), "This digraph is strongly connected");

     check(countStronglyConnectedComponents(d) == 1,

           "This digraph has 1 strongly connected component");

     check(connected(g), "This graph is connected");

     check(countConnectedComponents(g) == 1,

           "This graph has 1 connected component");

     check(biNodeConnected(g), "This graph is bi-node-connected");

     check(countBiNodeConnectedComponents(g) == 0,

           "This graph has 0 bi-node-connected component");

     check(biEdgeConnected(g), "This graph is bi-edge-connected");

     check(countBiEdgeConnectedComponents(g) == 1,

           "This graph has 1 bi-edge-connected component");

     check(dag(d), "This digraph is DAG.");

     check(checkedTopologicalSort(d, order), "This digraph is DAG.");

     check(loopFree(d), "This digraph is loop-free.");

     check(parallelFree(d), "This digraph is parallel-free.");

     check(simpleGraph(d), "This digraph is simple.");

     check(acyclic(g), "This graph is acyclic.");

     check(tree(g), "This graph is tree.");

     check(bipartite(g), "This graph is bipartite.");

     check(loopFree(g), "This graph is loop-free.");

     check(parallelFree(g), "This graph is parallel-free.");

     check(simpleGraph(g), "This graph is simple.");

   }

   {

     ListGraph g;

     ListGraph::NodeMap<bool> map(g);

     ListGraph::Node n1 = g.addNode();

     ListGraph::Node n2 = g.addNode();

     ListGraph::Edge e1 = g.addEdge(n1, n2);

     ::lemon::ignore_unused_variable_warning(e1);

     check(biNodeConnected(g), "Graph is bi-node-connected");

     ListGraph::Node n3 = g.addNode();

     ::lemon::ignore_unused_variable_warning(n3);

     check(!biNodeConnected(g), "Graph is not bi-node-connected");

   }

   {

     Digraph d;

     Digraph::NodeMap<int> order(d);

     Graph g(d);

     Digraph::Node n1 = d.addNode();

     Digraph::Node n2 = d.addNode();

     Digraph::Node n3 = d.addNode();

     Digraph::Node n4 = d.addNode();

     Digraph::Node n5 = d.addNode();

     Digraph::Node n6 = d.addNode();

     d.addArc(n1, n3);

     d.addArc(n3, n2);

     d.addArc(n2, n1);

     d.addArc(n4, n2);

     d.addArc(n4, n3);

     d.addArc(n5, n6);

     d.addArc(n6, n5);

     check(!stronglyConnected(d), "This digraph is not strongly connected");

     check(countStronglyConnectedComponents(d) == 3,

           "This digraph has 3 strongly connected components");

     check(!connected(g), "This graph is not connected");

     check(countConnectedComponents(g) == 2,

           "This graph has 2 connected components");

     check(!dag(d), "This digraph is not DAG.");

     check(!checkedTopologicalSort(d, order), "This digraph is not DAG.");

     check(loopFree(d), "This digraph is loop-free.");

     check(parallelFree(d), "This digraph is parallel-free.");

     check(simpleGraph(d), "This digraph is simple.");

     check(!acyclic(g), "This graph is not acyclic.");

     check(!tree(g), "This graph is not tree.");

     check(!bipartite(g), "This graph is not bipartite.");

     check(loopFree(g), "This graph is loop-free.");

     check(!parallelFree(g), "This graph is not parallel-free.");

     check(!simpleGraph(g), "This graph is not simple.");

     d.addArc(n3, n3);

     check(!loopFree(d), "This digraph is not loop-free.");

     check(!loopFree(g), "This graph is not loop-free.");

     check(!simpleGraph(d), "This digraph is not simple.");

     d.addArc(n3, n2);

     check(!parallelFree(d), "This digraph is not parallel-free.");

   }

   {

     Digraph d;

     Digraph::ArcMap<bool> cutarcs(d, false);

     Graph g(d);

     Digraph::Node n1 = d.addNode();

     Digraph::Node n2 = d.addNode();

     Digraph::Node n3 = d.addNode();

     Digraph::Node n4 = d.addNode();

     Digraph::Node n5 = d.addNode();

     Digraph::Node n6 = d.addNode();

     Digraph::Node n7 = d.addNode();

     Digraph::Node n8 = d.addNode();

     d.addArc(n1, n2);

     d.addArc(n5, n1);

     d.addArc(n2, n8);

     d.addArc(n8, n5);

     d.addArc(n6, n4);

     d.addArc(n4, n6);

     d.addArc(n2, n5);

     d.addArc(n1, n8);

     d.addArc(n6, n7);

     d.addArc(n7, n6);

     check(!stronglyConnected(d), "This digraph is not strongly connected");

     check(countStronglyConnectedComponents(d) == 3,

           "This digraph has 3 strongly connected components");

     Digraph::NodeMap<int> scomp1(d);

     check(stronglyConnectedComponents(d, scomp1) == 3,

           "This digraph has 3 strongly connected components");

     check(scomp1[n1] != scomp1[n3] && scomp1[n1] != scomp1[n4] &&

           scomp1[n3] != scomp1[n4], "Wrong stronglyConnectedComponents()");

     check(scomp1[n1] == scomp1[n2] && scomp1[n1] == scomp1[n5] &&

           scomp1[n1] == scomp1[n8], "Wrong stronglyConnectedComponents()");

     check(scomp1[n4] == scomp1[n6] && scomp1[n4] == scomp1[n7],

           "Wrong stronglyConnectedComponents()");

     Digraph::ArcMap<bool> scut1(d, false);

     check(stronglyConnectedCutArcs(d, scut1) == 0,

           "This digraph has 0 strongly connected cut arc.");

     for (Digraph::ArcIt a(d); a != INVALID; ++a) {

       check(!scut1[a], "Wrong stronglyConnectedCutArcs()");

     }

     check(!connected(g), "This graph is not connected");

     check(countConnectedComponents(g) == 3,

           "This graph has 3 connected components");

     Graph::NodeMap<int> comp(g);

     check(connectedComponents(g, comp) == 3,

           "This graph has 3 connected components");

     check(comp[n1] != comp[n3] && comp[n1] != comp[n4] &&

           comp[n3] != comp[n4], "Wrong connectedComponents()");

     check(comp[n1] == comp[n2] && comp[n1] == comp[n5] &&

           comp[n1] == comp[n8], "Wrong connectedComponents()");

     check(comp[n4] == comp[n6] && comp[n4] == comp[n7],

           "Wrong connectedComponents()");

     cutarcs[d.addArc(n3, n1)] = true;

     cutarcs[d.addArc(n3, n5)] = true;

     cutarcs[d.addArc(n3, n8)] = true;

     cutarcs[d.addArc(n8, n6)] = true;

     cutarcs[d.addArc(n8, n7)] = true;

     check(!stronglyConnected(d), "This digraph is not strongly connected");

     check(countStronglyConnectedComponents(d) == 3,

           "This digraph has 3 strongly connected components");

     Digraph::NodeMap<int> scomp2(d);

     check(stronglyConnectedComponents(d, scomp2) == 3,

           "This digraph has 3 strongly connected components");

     check(scomp2[n3] == 0, "Wrong stronglyConnectedComponents()");

     check(scomp2[n1] == 1 && scomp2[n2] == 1 && scomp2[n5] == 1 &&

           scomp2[n8] == 1, "Wrong stronglyConnectedComponents()");

     check(scomp2[n4] == 2 && scomp2[n6] == 2 && scomp2[n7] == 2,

           "Wrong stronglyConnectedComponents()");

     Digraph::ArcMap<bool> scut2(d, false);

     check(stronglyConnectedCutArcs(d, scut2) == 5,

           "This digraph has 5 strongly connected cut arcs.");

     for (Digraph::ArcIt a(d); a != INVALID; ++a) {

       check(scut2[a] == cutarcs[a], "Wrong stronglyConnectedCutArcs()");

     }

   }

   {

     // DAG example for topological sort from the book New Algorithms

     // (T. H. Cormen, C. E. Leiserson, R. L. Rivest, C. Stein)

     Digraph d;

     Digraph::NodeMap<int> order(d);

     Digraph::Node belt = d.addNode();

     Digraph::Node trousers = d.addNode();

     Digraph::Node necktie = d.addNode();

     Digraph::Node coat = d.addNode();

     Digraph::Node socks = d.addNode();

     Digraph::Node shirt = d.addNode();

     Digraph::Node shoe = d.addNode();

     Digraph::Node watch = d.addNode();

     Digraph::Node pants = d.addNode();

     ::lemon::ignore_unused_variable_warning(watch);

     d.addArc(socks, shoe);

     d.addArc(pants, shoe);

     d.addArc(pants, trousers);

     d.addArc(trousers, shoe);

     d.addArc(trousers, belt);

     d.addArc(belt, coat);

     d.addArc(shirt, belt);

     d.addArc(shirt, necktie);

     d.addArc(necktie, coat);

     check(dag(d), "This digraph is DAG.");

     topologicalSort(d, order);

     for (Digraph::ArcIt a(d); a != INVALID; ++a) {

       check(order[d.source(a)] < order[d.target(a)],

             "Wrong topologicalSort()");

     }

   }

   {

     ListGraph g;

     ListGraph::NodeMap<bool> map(g);

     ListGraph::Node n1 = g.addNode();

     ListGraph::Node n2 = g.addNode();

     ListGraph::Node n3 = g.addNode();

     ListGraph::Node n4 = g.addNode();

     ListGraph::Node n5 = g.addNode();

     ListGraph::Node n6 = g.addNode();

     ListGraph::Node n7 = g.addNode();

     g.addEdge(n1, n3);

     g.addEdge(n1, n4);

     g.addEdge(n2, n5);

     g.addEdge(n3, n6);

     g.addEdge(n4, n6);

     g.addEdge(n4, n7);

     g.addEdge(n5, n7);

     check(bipartite(g), "This graph is bipartite");

     check(bipartitePartitions(g, map), "This graph is bipartite");

     check(map[n1] == map[n2] && map[n1] == map[n6] && map[n1] == map[n7],

           "Wrong bipartitePartitions()");

     check(map[n3] == map[n4] && map[n3] == map[n5],

           "Wrong bipartitePartitions()");

   }

   return 0;

 }