public void CorrectnessTest()
        {
            SpatialTree tree = new SpatialTree ();
            List<PointDouble> points = new List<PointDouble> ();
            Random rand = new Random ();

            //initialize the list
            for (int i = 0; i < 10000; ++i)
            {
                points.Add (new PointDouble (rand.Next (1000), rand.Next (1000)));
            }

            //insert them all into the list
            foreach (PointDouble pt in points)
            {
                tree.addPoint (pt);
            }
            List<PointDouble> found1;
            List<PointDouble> found2;
            for (int i = 0; i < 10000; ++i)
            {
                var point = new PointDouble(rand.Next(1000), rand.Next(1000));
                found1 = tree.GetPointsInRange( point, 10);

                found2 = new List<PointDouble>();
                foreach(PointDouble pt in points)
                {
                    if ((pt.X-point.X)*(pt.X-point.X) +
                        (pt.Y-point.Y)*(pt.Y-point.Y) < 100.0)
                    {
                        found2.Add(pt);
                    }
                }

                foreach(PointDouble pt in found1)
                {
                    Assert.AreEqual(true, found2.Contains(pt));
                }
                foreach(PointDouble pt in found2)
                {
                    Assert.AreEqual(true, found1.Contains(pt));
                }

                //found1.Clear();
                //found2.Clear ();
            }
        }
        public void GetClosestTest()
        {
            SpatialTree tree = new SpatialTree ();
            List<PointDouble> points = new List<PointDouble> ();
            Random rand = new Random ();

            //initialize the list
            for (int i = 0; i < 10000; ++i)
            {
                points.Add (new PointDouble (rand.Next (1000), rand.Next (1000)));
            }

            //insert them all into the list
            foreach (PointDouble pt in points)
            {
                tree.addPoint (pt);
            }
            for (int i = 0; i < 10000; ++i)
            {
                var point = new PointDouble(rand.Next(1000), rand.Next(1000));
                var found = tree.GetClosestPoint(point);

                PointDouble closestPoint = new PointDouble();
                double distanceSq = double.MaxValue;

                foreach(PointDouble pt in points)
                {
                    if ((pt.X-point.X)*(pt.X-point.X) +
                        (pt.Y-point.Y)*(pt.Y-point.Y) < distanceSq)
                    {
                        closestPoint = pt;
                        distanceSq = (pt.X-point.X)*(pt.X-point.X) + (pt.Y-point.Y)*(pt.Y-point.Y);
                    }
                }
                var dist = (found.X - point.X)*(found.X - point.X) + (found.Y - point.Y)*(found.Y - point.Y);
                Assert.AreEqual(distanceSq, dist);

            }
        }
        public void Lookup()
        {
            SpatialTree tree = new SpatialTree();
            List<PointDouble> points = new List<PointDouble>();

            points.Add (new PointDouble(0,0));
            points.Add (new PointDouble(0,10));
            points.Add (new PointDouble(0,20));
            points.Add (new PointDouble(0,30));
            points.Add (new PointDouble(0,40));
            points.Add (new PointDouble(0,50));
            points.Add (new PointDouble(0,60));

            points.Add (new PointDouble(0,70));

            foreach(PointDouble pt in points)
                tree.addPoint(pt);

            var result = tree.GetPointsInRange(new PointDouble(1,1), 15);

            Assert.AreEqual(2, result.Count);
        }
        public void StressTest()
        {
            SpatialTree tree = new SpatialTree ();
            List<PointDouble> points = new List<PointDouble> ();
            Random rand = new Random ();

            //initialize the list
            for (int i = 0; i < 10000; ++i)
            {
                points.Add (new PointDouble (rand.Next (1000), rand.Next (1000)));
            }

            DateTime start = DateTime.Now;
            //insert them all into the list
            foreach (PointDouble pt in points)
            {
                tree.addPoint (pt);
            }
            DateTime stop = DateTime.Now;
            Console.WriteLine ("Took " + (stop - start) + " to add " + 10000 + " records");

            start = DateTime.Now;
            for (int i = 0; i < 10000; ++i)
            {
                tree.GetPointsInRange(new PointDouble(rand.Next(1000), rand.Next(1000)), 10);
            }
            stop  = DateTime.Now;

            var treeTime = stop-start;

            Console.WriteLine("SpatialTree: Took " + treeTime + " to lookup " + 10000 + " records");

            start = DateTime.Now;

            List<PointDouble> found;
            for (int i = 0; i < 10000; ++i)
            {
                found = new List<PointDouble>();
                var lookup = new PointDouble(rand.Next(1000), rand.Next(1000));
                foreach(PointDouble pt in points)
                {
                    if ((pt.X-lookup.X)*(pt.X-lookup.X) +
                        (pt.Y-lookup.Y)*(pt.Y-lookup.Y) < 100)
                    {
                        found.Add(pt);
                    }
                }
            }
            stop  = DateTime.Now;

            var linearTime = stop-start;
            Console.WriteLine("Linear search: Took " + linearTime+ " to lookup " + 10000 + " records");

            Assert.Greater(linearTime, treeTime);
        }
        public void Insertion()
        {
            SpatialTree tree = new SpatialTree();
            List<PointDouble> points = new List<PointDouble>();
            points.Add (new PointDouble(0,0));
            points.Add (new PointDouble(50,50));
            points.Add (new PointDouble(0,50));
            points.Add (new PointDouble(50,0));
            points.Add (new PointDouble(25,25));
            points.Add (new PointDouble(25,0));
            points.Add (new PointDouble(0,25));

            foreach(PointDouble pt in points)
                tree.addPoint(pt);

            Assert.AreEqual(0, tree._root._bucket.Count);
            Assert.AreNotEqual(null,tree._root._left);
            Assert.AreNotEqual(null, tree._root._right);
        }