private static void CheckToHaveConnectedGraph(designGraph assemblyGraph)
        {
            // The code will crash if the graph is not connected
            // let's take a look:
            var batches       = new List <HashSet <Component> >();
            var stack         = new Stack <Component>();
            var visited       = new HashSet <Component>();
            var globalVisited = new HashSet <Component>();

            foreach (Component Component in assemblyGraph.nodes.Where(n => !globalVisited.Contains(n)))
            {
                stack.Clear();
                visited.Clear();
                stack.Push(Component);
                while (stack.Count > 0)
                {
                    var pNode = stack.Pop();
                    visited.Add(pNode);
                    globalVisited.Add(pNode);
                    List <Connection> a2;
                    lock (pNode.arcs)
                        a2 = pNode.arcs.Where(a => a is Connection).Cast <Connection>().ToList();

                    foreach (Connection arc in a2)
                    {
                        if (!assemblyGraph.nodes.Contains(arc.From) || !assemblyGraph.nodes.Contains(arc.To))
                        {
                            continue;
                        }
                        var otherNode = (Component)(arc.From == pNode ? arc.To : arc.From);
                        if (visited.Contains(otherNode))
                        {
                            continue;
                        }
                        stack.Push(otherNode);
                    }
                }
                if (visited.Count == assemblyGraph.nodes.Count)
                {
                    return;
                }
                batches.Add(new HashSet <Component>(visited));
            }
            Console.WriteLine("\nSome of the assembly parts are not connected to the rest of the model.");
            var referenceBatch = batches[0];
            var c      = false;
            var visits = 0;
            var loop   = 0;

            while (referenceBatch.Count < assemblyGraph.nodes.Count)
            {
                loop++;
                if (loop >= 15)
                {
                    break;
                }
                foreach (var rb in referenceBatch)
                {
                    for (var j = 1; j < batches.Count; j++)
                    {
                        foreach (var b in batches[j])
                        {
                            foreach (var p1 in StartProcess.Solids[rb.name])
                            {
                                foreach (var p2 in StartProcess.Solids[b.name])
                                {
                                    if (BlockingDetermination.BoundingBoxOverlap(p1, p2))
                                    {
                                        if (BlockingDetermination.ConvexHullOverlap(p1, p2))
                                        {
                                            visits++;
                                            if (visits == 1)
                                            {
                                                Console.WriteLine(
                                                    "\n   * Since the graph needs to be connected, the following connections are added by the software:");
                                            }
                                            // add a connection with low cetainty between them
                                            var lastAdded = (Connection)assemblyGraph.addArc(rb, b, "", typeof(Connection));
                                            lastAdded.Certainty = 0.1;
                                            referenceBatch.UnionWith(batches[j]);
                                            batches.RemoveAt(j);
                                            c = true;
                                            Console.WriteLine("\n      - " + lastAdded.XmlFrom + lastAdded.XmlTo);
                                        }
                                    }
                                    if (c)
                                    {
                                        break;
                                    }
                                }
                                if (c)
                                {
                                    break;
                                }
                            }
                            if (c)
                            {
                                break;
                            }
                        }
                        if (c)
                        {
                            break;
                        }
                    }
                    if (c)
                    {
                        break;
                    }
                }
            }
            if (loop < 15)
            {
                Console.WriteLine(
                    "\n   * When you are reviewing the connections, please pay a closer attention to the connections above");
            }
            else
            {
                Console.WriteLine("\n   * Some connections must be added manually between the following batches");
            }
            for (int i = 0; i < batches.Count; i++)
            {
                var batch = batches[i];
                Console.WriteLine("\n      - Batch " + i + ":");
                foreach (var component in batch)
                {
                    Console.WriteLine("         + " + component.name);
                }
            }
        }
        static void Main(string[] args)
        {
            var Solids           = StartProcess.Solids;
            var solidsNoFastener = StartProcess.SolidsNoFastener;
            //PrintOutSomeInitialStats();
            var globalDirPool = new List <int>();
            // Detect gear mates
            //------------------------------------------------------------------------------------------
            var gears = GearDetector.Run(StartProcess.PartsWithOneGeom, StartProcess.SolidPrimitive);
            var sw    = new Stopwatch();

            sw.Start();

            // Add the solids as nodes to the graph. Exclude the fasteners
            //------------------------------------------------------------------------------------------
            //DisassemblyDirections.Solids = new List<TessellatedSolid>(solidsNoFastener);
            AddingNodesToGraph(AssemblyGraph, solidsNoFastener); //, gears, screwsAndBolts);

            // Implementing region octree for every solid
            //------------------------------------------------------------------------------------------
            PartitioningSolid.Partitions     = new Dictionary <TessellatedSolid, Partition[]>();
            PartitioningSolid.PartitionsAABB = new Dictionary <TessellatedSolid, PartitionAABB[]>();
            PartitioningSolid.CreatePartitions(solidsNoFastener);

            // Part to part interaction to obtain removal directions between every connected pair
            //------------------------------------------------------------------------------------------

            Console.WriteLine(" \n\nAdjacent Blocking Determination ...");
            var width = 55;

            //LoadingBar.start(width, 0);

            BlockingDetermination.OverlappingSurfaces = new List <OverlappedSurfaces>();
            var  solidNofastenerList = solidsNoFastener.ToList();
            long totalTriTobeChecked = 0;
            var  overlapCheck        = new HashSet <KeyValuePair <string, List <TessellatedSolid> >[]>();

            for (var i = 0; i < solidsNoFastener.Count - 1; i++)
            {
                var subAssem1 = solidNofastenerList[i];
                for (var j = i + 1; j < solidsNoFastener.Count; j++)
                {
                    var subAssem2 = solidNofastenerList[j];
                    overlapCheck.Add(new[] { subAssem1, subAssem2 });
                    var tri2Sub1 = subAssem1.Value.Sum(s => s.Faces.Length);
                    var tri2Sub2 = subAssem2.Value.Sum(s => s.Faces.Length);
                    totalTriTobeChecked += tri2Sub1 * tri2Sub2;
                }
            }
            var  total   = overlapCheck.Count;
            var  refresh = (int)Math.Ceiling(((float)total) / ((float)(width * 4)));
            var  check   = 0;
            long counter = 0;

            //foreach (var each in overlapCheck)
            Parallel.ForEach(overlapCheck, each =>
            {
                if (check % refresh == 0)
                {
                    //LoadingBar.refresh(width, ((float)check) / ((float)total));
                }
                check++;
                var localDirInd = new List <int>();
                for (var t = 0; t < StartProcess.Directions.Count; t++)
                {
                    localDirInd.Add(t);
                }
                var connected = false;
                var certainty = 0.0;
                foreach (var solid1 in each[0].Value)
                {
                    foreach (var solid2 in each[1].Value)
                    {
                        counter += solid1.Faces.Length * solid2.Faces.Length;
                        double localCertainty;
                        var blocked = BlockingDetermination.DefineBlocking(solid1, solid2, globalDirPool,
                                                                           localDirInd, out localCertainty);
                        if (connected == false)
                        {
                            connected = blocked;
                        }
                        if (localCertainty > certainty)
                        {
                            certainty = localCertainty;
                        }
                    }
                }
                if (connected)
                {
                    // I wrote the code in a way that "solid1" is always "Reference" and "solid2" is always "Moving".
                    // Update the romoval direction if it is a gear mate:
                    localDirInd = GearDetector.UpdateRemovalDirectionsIfGearMate(each[0].Value,
                                                                                 each[1].Value, gears, localDirInd);
                    List <int> finDirs, infDirs;
                    NonadjacentBlockingDetermination.FiniteDirectionsBetweenConnectedPartsWithPartitioning(
                        each[0].Value, each[1].Value, localDirInd, out finDirs, out infDirs);
                    lock (AssemblyGraph)
                    {
                        var from = AssemblyGraph[each[1].Key]; // Moving
                        var to   = AssemblyGraph[each[0].Key]; // Reference
                        AssemblyGraph.addArc((node)from, (node)to, "", typeof(Connection));
                        var a       = (Connection)AssemblyGraph.arcs.Last();
                        a.Certainty = certainty;
                        AddInformationToArc(a, finDirs, infDirs);
                    }
                }
            }//
                             );
            //LoadingBar.refresh(width, 1);
            Console.WriteLine("\n");
            FastenerFunctions.AddFastenersInformation(AssemblyGraph, solidsNoFastener, StartProcess.SolidPrimitive);
            // create oppositeDirections for global direction pool.
            FindingOppositeDirectionsForGlobalPool(globalDirPool);

            // Simplify the solids, before doing anything
            //------------------------------------------------------------------------------------------
            foreach (var solid in solidsNoFastener)
            {
                SolidsNoFastenerSimplified.Add(solid.Key, SimplifiedSolids[solid.Key]);
            }
            SimplifySolids(SimplifiedSolids, 0.7);

            // Implementing region octree for every solid
            //------------------------------------------------------------------------------------------
            PartitioningSolid.Partitions     = new Dictionary <TessellatedSolid, Partition[]>();
            PartitioningSolid.PartitionsAABB = new Dictionary <TessellatedSolid, PartitionAABB[]>();
            PartitioningSolid.CreatePartitions(SimplifiedSolids);

            CheckToHaveConnectedGraph(AssemblyGraph);
            ///return globalDirPool;
        }