public void TestSegmentDicretization()
        {
            List<Point> inputPoint = new List<Point>() { new Point(5, 5) };
            List<Segment> inputSegment = new List<Segment>();
            inputSegment.Add(new Segment(0, 0, 0, 10));
            inputSegment.Add(new Segment(0, 0, 10, 0));
            inputSegment.Add(new Segment(0, 10, 10, 10));
            inputSegment.Add(new Segment(10, 0, 10, 10));

            //Build the CLR voronoi
            VoronoiWrapper vw = new VoronoiWrapper();

            foreach (var p in inputPoint)
                vw.AddPoint(p.X, p.Y);

            foreach (var s in inputSegment)
                vw.AddSegment(s.Start.X, s.Start.Y, s.End.X, s.End.Y);

            vw.ConstructVoronoi();
            List<Tuple<int, int, bool, bool, List<int>, bool, short>> clrCells = vw.GetCells();

            //Build the C# Voronoi
            BoostVoronoi bv = new BoostVoronoi();
            foreach (var p in inputPoint)
                bv.AddPoint(p.X, p.Y);
            foreach (var s in inputSegment)
                bv.AddSegment(s.Start.X, s.Start.Y, s.End.X, s.End.Y);

            bv.Construct();
            List<Vertex> vertices = bv.Vertices;
            List<Edge> sharpEdges = bv.Edges;
            List<Cell> sharpCells = bv.Cells;

            int testEdgeIndex = 2;

            for (int i = 0; i < sharpEdges.Count; i++)
            {
                if (sharpCells[sharpEdges[sharpEdges[i].Twin].Cell].SourceCategory == CellSourceCatory.SinglePoint
                    &&
                    sharpCells[sharpEdges[i].Cell].Site == 1)
                    testEdgeIndex = i;

            }

            Edge testEdge = sharpEdges[testEdgeIndex];
            Vertex startVertex = vertices[testEdge.Start];
            Vertex endVertex = vertices[testEdge.End];
            List<Vertex> dvertices = bv.SampleCurvedEdge(testEdge, Distance.ComputeDistanceBetweenPoints(startVertex, endVertex) / 2);
            int lastDicretizedVertexIndex = dvertices.Count - 1;

            //Make sure that the end points are consistents
            Assert.AreEqual(dvertices[0].X, startVertex.X);
            Assert.AreEqual(dvertices[0].Y, startVertex.Y);

            Assert.AreEqual(dvertices[lastDicretizedVertexIndex].X, endVertex.X);
            Assert.AreEqual(dvertices[lastDicretizedVertexIndex].Y, endVertex.Y);

            Assert.AreEqual(dvertices[2].X, 2.5);
            Assert.AreEqual(dvertices[2].Y, 5);
        }
        private ISegmentCollection createSegments(Cell cell,BoostVoronoi bv,ArcConstructionMethods method,ISpatialReference spatialReference)
        {
            List<Cell> cells = bv.Cells;
            List<Edge> edges = bv.Edges;
            List<Vertex> vertices = bv.Vertices;

            IPoint previousEndPoint = null;

            ISegmentCollection segmentCollection = new PolygonClass() { SpatialReference = spatialReference };
            // As per boost documentation, edges are returned in counter clockwise (CCW) rotation.
            //  voronoi_edge_type* next()	Returns the pointer to the CCW next edge within the corresponding Voronoi cell.  Edges not necessarily share a common vertex (e.g. infinite edges).
            for (int i = cell.EdgesIndex.Count - 1; i >= 0; i--)
            {
                Edge edge = edges[cell.EdgesIndex[i]];

                //If the vertex index equals -1, it means the edge is infinite. It is impossible to print the coordinates.
                if (!edge.IsFinite && edge.End < 0)
                {
                    // this is the ending portion of a pair of infinite edges, file the previous edge with Start >= 0
                    Edge previous = null;
                    for (int k = i + 1; k < cell.EdgesIndex.Count; k++)
                    {
                        previous = edges[cell.EdgesIndex[k]];
                        if (previous.End >= 0)
                            break;
                        previous = null;
                    }
                    if (previous == null)
                    {
                        for (int k = 0; k < i; k++)
                        {
                            previous = edges[cell.EdgesIndex[k]];
                            if (previous.End >= 0)
                                break;
                            previous = null;
                        }
                    }
                    if (previous == null)
                        throw new Exception("No outbound infinite edge could be found");

                    //Add a straight line segment
                    Vertex start = vertices[previous.End];
                    IPoint FromPoint = new PointClass() { X = start.X, Y = start.Y, SpatialReference = spatialReference };
                    Vertex end = vertices[edge.Start];
                    IPoint ToPoint = new PointClass() { X = end.X, Y = end.Y, SpatialReference = spatialReference };

                    segmentCollection.AddSegment(new LineClass() { FromPoint = FromPoint, ToPoint = ToPoint, SpatialReference = spatialReference });
                    previousEndPoint = ToPoint;
                }
                else if (edge.IsFinite)
                {
                    Vertex start = vertices[edge.End];
                    IPoint FromPoint = new PointClass() { X = start.X, Y = start.Y, SpatialReference = spatialReference };
                    if (previousEndPoint != null)
                    {
                        if ((Math.Abs(previousEndPoint.X - FromPoint.X) > 0.05 || Math.Abs(previousEndPoint.X - FromPoint.X) > 0.05))
                            throw new Exception("Significant change between last end point and current start point");
                        else
                            FromPoint = previousEndPoint;
                    }
                    Vertex end = vertices[edge.Start];
                    IPoint ToPoint = new PointClass() { X = end.X, Y = end.Y, SpatialReference = spatialReference };

                    if (method == ArcConstructionMethods.Straight || edge.IsLinear)
                    {
                        segmentCollection.AddSegment(new LineClass() { FromPoint = FromPoint, ToPoint = ToPoint, SpatialReference = spatialReference });
                        previousEndPoint = ToPoint;
                    }
                    else
                    {
                        // We need three points, use start, end, mid-point between focus and directrix
                        Cell twinCell = cells[edges[edge.Twin].Cell];

                        VPoint pointSite; VSegment lineSite;
                        if (cell.ContainsPoint && twinCell.ContainsSegment)
                        {
                            pointSite = bv.RetrieveInputPoint(cell);
                            lineSite = bv.RetrieveInputSegment(twinCell);
                        }
                        else if (cell.ContainsSegment && twinCell.ContainsPoint)
                        {
                            pointSite = bv.RetrieveInputPoint(twinCell);
                            lineSite = bv.RetrieveInputSegment(cell);
                        }

                        else
                        {
                            throw new Exception("Invalid edge, curves should only be present between a point and a line");
                        }

                        double scaleFactor = Convert.ToDouble(bv.ScaleFactor);
                        IPoint aoPointSite = new Point()
                        {
                                X = Convert.ToDouble(pointSite.X) / scaleFactor,
                                Y = Convert.ToDouble(pointSite.Y) / scaleFactor,
                                SpatialReference = spatialReference
                        };

                        ISegment aoLineSite = new LineClass()
                        {
                            FromPoint = new PointClass()
                            {
                                    X = Convert.ToDouble(lineSite.Start.X) / scaleFactor,
                                    Y = Convert.ToDouble(lineSite.Start.Y) / scaleFactor,
                                    SpatialReference = spatialReference
                            },
                            ToPoint = new PointClass()
                            {
                                    X = Convert.ToDouble(lineSite.End.X) / scaleFactor,
                                    Y = Convert.ToDouble(lineSite.End.Y) / scaleFactor,
                                    SpatialReference = spatialReference
                            },
                            SpatialReference = spatialReference
                        };

                        if (method == ArcConstructionMethods.Approximate)
                        {
                            List<Vertex> sampledVerticed = null;
                            try
                            {
                                sampledVerticed = bv.SampleCurvedEdge(edge, aoLineSite.Length / 10);

                            }
                            catch (FocusOnDirectixException e)
                            {
                                //Log any exception here is required
                                sampledVerticed = new List<Vertex>() { start, end };
                            }
                            catch (UnsolvableVertexException e)
                            {
                                sampledVerticed = new List<Vertex>() { start, end };
                            }

                            sampledVerticed.Reverse();
                            List<IPoint> discretizedEdge = sampledVerticed.Select(
                                p => new Point() { X = p.X, Y = p.Y }
                            ).ToList<IPoint>();

                            IPoint prev = discretizedEdge[0];
                            foreach (IPoint v in discretizedEdge.Skip(1))
                            {
                                segmentCollection.AddSegment(new LineClass()
                                {
                                    FromPoint = new Point() { X = prev.X, Y = prev.Y, SpatialReference = spatialReference },
                                    ToPoint = new Point() { X = v.X, Y = v.Y, SpatialReference = spatialReference },
                                    SpatialReference = spatialReference
                                });
                                prev = v;
                            }
                            previousEndPoint = discretizedEdge.Last();
                        }
                        else if (method == ArcConstructionMethods.Circular)
                        {
                            IPoint nearPoint = ((IProximityOperator)aoLineSite).ReturnNearestPoint(aoPointSite, esriSegmentExtension.esriNoExtension);
                            IPoint midpoint = new PointClass()
                            {
                                X = (nearPoint.X + aoPointSite.X) / 2,
                                Y = (nearPoint.Y + aoPointSite.Y) / 2,
                                SpatialReference = spatialReference
                            };

                            IConstructCircularArc constArc = new CircularArcClass() { SpatialReference = spatialReference };
                            constArc.ConstructThreePoints(FromPoint, midpoint, ToPoint, false);
                            ICircularArc arc = (ICircularArc)constArc;

                            if (!arc.IsMinor)
                            {
                                constArc = new CircularArcClass() { SpatialReference = spatialReference };
                                constArc.ConstructEndPointsRadius(FromPoint, ToPoint, !arc.IsCounterClockwise, arc.Radius, true);
                                arc = (ICircularArc)constArc;
                            }
                            segmentCollection.AddSegment((ISegment)arc);
                            previousEndPoint = arc.ToPoint;
                        }
                        else if (method == ArcConstructionMethods.Ellipse)
                        {
                            IPoint nearPoint = ((IProximityOperator)aoLineSite).ReturnNearestPoint(aoPointSite, esriSegmentExtension.esriExtendTangents);
                            nearPoint.SpatialReference = spatialReference;

                            ILine lineToFocus = new LineClass() { FromPoint = nearPoint, ToPoint = aoPointSite, SpatialReference = spatialReference };
                            ILine semiMajor = new LineClass() { SpatialReference = spatialReference };
                            lineToFocus.QueryTangent(esriSegmentExtension.esriExtendTangentAtTo, 1, true, 100 * lineToFocus.Length, semiMajor);

                            IPoint center = new PointClass()
                            {
                                X = (semiMajor.FromPoint.X + semiMajor.ToPoint.X) / 2,
                                Y = (semiMajor.FromPoint.Y + semiMajor.ToPoint.Y) / 2,
                                SpatialReference = spatialReference
                            };

                            double minor_length = Math.Sqrt(
                                        Math.Pow(distance(semiMajor.FromPoint, ToPoint) + distance(semiMajor.ToPoint, ToPoint), 2)
                                        - Math.Pow(semiMajor.Length, 2));

                            IEllipticArc arc = new EllipticArcClass() { SpatialReference = spatialReference };
                            double rotation = lineToFocus.Angle;
                            double from = GetAngle(center, FromPoint);

                            arc.PutCoords(false, center, FromPoint, ToPoint, rotation, minor_length / semiMajor.Length, esriArcOrientation.esriArcMinor);

                            segmentCollection.AddSegment((ISegment)arc);
                            previousEndPoint = arc.ToPoint;

                        }
                    }
                }
            }
            return segmentCollection;
        }