bool TryDeletePoint(Vertex v)
        {
            List<Edge> edges = new List<Edge>();
            List<Vertex> verts = new List<Vertex>();
            List<triangle> trsw = new List<triangle>();
            Dictionary<Vertex, Vertex> parallelcopy = new Dictionary<Vertex, Vertex>();

            foreach (var a in v.GetAdjacentTriangles)
            {
                foreach (var w in a.GetVertices)
                {
                    if (w != v && !verts.Contains(w))
                    {
                        verts.Add(w);
                    }
                }
                List<Vertex> tempo = new List<Vertex>();
                foreach (var w in a.GetVertices)
                {
                    if (w != v)
                    {
                        tempo.Add(w);
                    }
                }
                Vertex p1=tempo[0],p2=tempo[1];
                edges.Add(new Edge(p1,p2));
            }
            vertices.Remove(v);
            Vertex v1 = verts[0],
                   v2 = edges.First(a => a.GetVertexes.Contains(v1)).GetVertexes.Single(b => b != v1),
                   v3 = edges.Single(a => (a.GetVertexes.Contains(v2)) && (!a.GetVertexes.Contains(v1))).GetVertexes.Single(b => b != v2);

            int maxit = 0;
            if (verts.Count == 4) maxit = 2;
            if (verts.Count > 4) maxit = verts.Count;

            while (verts.Count > 3)
            {
                triangle t1 = new triangle(v1, v2, v3,false);
                bool y = true;
                foreach (var v4 in vertices)
                {
                    int c = Math.Sign(t1.SignVertex(v4));
                    if ((c != 0) && (c != t1.GetSignCenter))
                    {
                        y = false;
                        break;
                    }
                }

                if (y == true)
                {
                    var g = new triangle(v1, v3, new Vertex(new double[] { 0, 0, 0 }), false);
                    if (Math.Sign(g.SignVertex(v2)) == Math.Sign(g.SignVertex(v)))
                    {
                        maxit--;
                        if (maxit == 0) { vertices.Add(v); return false; }
                        v1 = v2;
                        v2 = v3;
                        v3 = edges.Single(a => (a.GetVertexes.Contains(v2)) && (!a.GetVertexes.Contains(v1))).GetVertexes.Single(b => b != v2);

                    }
                    else
                    {
                        verts.Remove(v2);
                        if (verts.Count == 4) maxit = 2;
                        if (verts.Count > 4) maxit = verts.Count;
                        edges.RemoveAll(a => a.GetVertexes.Contains(v2));
                        edges.Add(new Edge(v1, v3));
                        trsw.Add(t1);
                        v2 = v3;
                        v3 = edges.Single(a => (a.GetVertexes.Contains(v2)) && (!a.GetVertexes.Contains(v1))).GetVertexes.Single(b => b != v2);
                    }
                }

                if (y == false)
                {
                    maxit--;
                    if (maxit == 0) { vertices.Add(v); return false; }
                    v1 = v2;
                    v2 = v3;
                    v3 = edges.Single(a => (a.GetVertexes.Contains(v2)) && (!a.GetVertexes.Contains(v1))).GetVertexes.Single(b => b != v2);
                }
            }
            var fgh = new triangle(verts[0], verts[1], verts[2],false);
            trsw.Add(fgh);

            maxit = v.GetAdjacentTriangles.Count;
            for (int k = 0; k < maxit;k++ )
            {
                var o = v.GetAdjacentTriangles[0];
                o.deltr();
                triangles.Remove(o);
            }

            foreach (var o in trsw)
            {
                triangles.Add(new triangle(o.GetVertices[0], o.GetVertices[1], o.GetVertices[2]));
            }

            return true;
        }
        void NatNearestInterpolation(Vertex vert, bool ExceptNaN)
        {
            pseudopol.Clear();
            pseuvotr.Clear();
            pseuvovert.Clear();
            newtriangles.Clear();

            if (addnewpoint(vert, false) == -1) return;
            List<Vertex> lv = new List<Vertex>();
            foreach (var e1 in pseuvotr)
                foreach (var e2 in e1.GetVertices)
                {
                    if (!lv.Contains(e2)) lv.Add(e2);
                }
            lv.Add(vert);

            foreach (var q in lv)
            {
                List<Vertex> temp = new List<Vertex>();
                triangle t = q.GetAdjacentTriangles[0];
                Vertex y = t.GetVertices.First(a => a != q);
                Vertex y0;
                for (int i = 0; i < q.GetAdjacentTriangles.Count; i++)
                {
                    temp.Add(t.GetOR);
                    y0 = y;
                    y = t.GetVertices.Single(a => (a != y) && (a != q));
                    t = q.GetAdjacentTriangles.Single(a => a.GetVertices.Contains(y) && (!a.GetVertices.Contains(y0)));
                }
                VoronoiCell p = new VoronoiCell(q, temp);
                pseudopol.Add(p);
            }

            lv.Remove(vert);
            double sq = 0;
            //double sq = pseudopol.Single(a => a.GetCellCentr == vert).GetSquare;
            foreach (var q in lv)
            {
                if ((!ExceptNaN) || (ExceptNaN && !double.IsNaN(q.Value)))
                {
                    double sqss = q.Voronoi_Cell.GetSquare;
                    double sqs = pseudopol.Single(a => a.GetCellCentr == q).GetSquare;
                    double delta = sqss - sqs;
                    vert.Value += delta * q.Value;
                    sq += delta;
                }
            }
            vert.Value /= sq;
            foreach (var n in newtriangles)
            {
                n.deltr();
                triangles.Remove(n);
            }
            foreach (var n in pseuvotr)
            {
                var tem = new triangle(n.GetVertices[0], n.GetVertices[1], n.GetVertices[2]);
                triangles.Add(tem);
            }
            vertices.Remove(vert);
        }
 void anymore(HashSet<triangle> m, triangle l, Vertex x)
 {
     foreach (var w in l.GetVertices)
     {
         foreach (var e in w.GetAdjacentTriangles)
         {
             if (Math.Sign(e.SignVertex(x)) != e.GetSignCenter)
             {
                 if (!m.Contains(e))
                 {
                     m.Add(e);
                     anymore(m, e, x);
                 }
             }
         }
     }
 }
        void DeletePoint(Vertex v)
        {
            List<Edge> edges = new List<Edge>();
            List<Vertex> verts = new List<Vertex>();
            List<triangle> triangls = new List<triangle>();

            vertices.Remove(v);
            foreach (var a in v.GetAdjacentTriangles)
            {
                triangls.Add(a);
                a.GetVertices.Remove(v);
                foreach (var q0 in a.GetVertices) q0.GetAdjacentTriangles.Remove(a);
                edges.Add(new Edge(a.GetVertices[0], a.GetVertices[1]));
                foreach (var l in a.GetVertices) if (!verts.Contains(l)) verts.Add(l);
            }

            v.GetAdjacentTriangles.Clear();

            pseuvovert = new List<Vertex>(verts);
            foreach (var r in triangls)
                triangles.Remove(r);

            triangls.Clear();

            Vertex v1 = verts[0],
                   v2 = edges.First(a => a.GetVertexes.Contains(v1)).GetVertexes.Single(b => b != v1),
                   v3 = edges.Single(a => (a.GetVertexes.Contains(v2)) && (!a.GetVertexes.Contains(v1))).GetVertexes.Single(b => b != v2);

            while (verts.Count > 3)
            {
                triangle t1 = new triangle(v1, v2, v3, true);
                bool y = true;
                foreach (var v4 in vertices)
                {
                    int c = Math.Sign(t1.SignVertex(v4));
                    if ((c != 0) && (c != t1.GetSignCenter))
                    {
                        y = false;
                        break;
                    }
                }

                if (y == true)
                {
                    var g = new triangle(v1, v3, new Vertex(new double[] { 0, 0, 0 }), false);
                    if (Math.Sign(g.SignVertex(v2)) == Math.Sign(g.SignVertex(v)))
                    {
                        t1.deltr();
                        v1 = v2;
                        v2 = v3;
                        v3 = edges.Single(a => (a.GetVertexes.Contains(v2)) && (!a.GetVertexes.Contains(v1))).GetVertexes.Single(b => b != v2);

                    }
                    else
                    {
                        verts.Remove(v2);
                        edges.RemoveAll(a => a.GetVertexes.Contains(v2));
                        edges.Add(new Edge(v1, v3));
                        triangles.Add(t1);
                        v2 = v3;
                        v3 = edges.Single(a => (a.GetVertexes.Contains(v2)) && (!a.GetVertexes.Contains(v1))).GetVertexes.Single(b => b != v2);
                    }
                }

                if (y == false)
                {
                    t1.deltr();
                    v1 = v2;
                    v2 = v3;
                    v3 = edges.Single(a => (a.GetVertexes.Contains(v2)) && (!a.GetVertexes.Contains(v1))).GetVertexes.Single(b => b != v2);
                }
            }
            var fgh = new triangle(verts[0], verts[1], verts[2]);
            triangles.Add(fgh);
        }
        int addnewpoint(Vertex x, bool p = true)
        {
            foreach (var w in vinit.Where(a => Math.Abs(x.X - a.X) < 0.0000001 && Math.Abs(x.Y - a.Y) < 0.0000001 && Math.Abs(x.Z - a.Z) < 0.0000001))
            {
                w.SetNewPosition(x.Longitude, x.Latitude);
                w.Value = x.Value;
                vinit.Remove(w);
                return 0;
            }

            if (vertices.Count > 0)
            {
                var tm = vertices.ElementAt(0);
                double dis = (tm.X - x.X) * (tm.X - x.X) + (tm.Y - x.Y) * (tm.Y - x.Y) + (tm.Z - x.Z) * (tm.Z - x.Z), dis0 = 0;
                Vertex ind0 = tm;
                do
                {
                    tm = ind0;
                    foreach (var er in tm.GetAdjacentTriangles)
                    {
                        foreach (var t in er.GetVertices)
                        {
                            dis0 = (t.X - x.X) * (t.X - x.X) + (t.Y - x.Y) * (t.Y - x.Y) + (t.Z - x.Z) * (t.Z - x.Z);
                            if (dis0 < dis)
                            {
                                dis = dis0;
                                ind0 = t;
                            }
                        }
                    }
                } while (tm != ind0);

                if (dis < 0.00000001)
                {
                    if (p == false)
                    {
                        x.Value = ind0.Value;
                    }
                    else { Console.WriteLine("Warning: SingularPoint"); }
                    return -1;
                }
            }

            triangle z = null;
            triangle l = triangles.ElementAt(0);

            if (Math.Sign(l.SignVertex(x)) == l.GetSignCenter)
            {
                l.TempIndex = x;

                double e0 = (l.GetVertices[0].X - x.X) * (l.GetVertices[0].X - x.X) + (l.GetVertices[0].Y - x.Y) * (l.GetVertices[0].Y - x.Y) + (l.GetVertices[0].Z - x.Z) * (l.GetVertices[0].Z - x.Z);
                double e1 = (l.GetVertices[1].X - x.X) * (l.GetVertices[1].X - x.X) + (l.GetVertices[1].Y - x.Y) * (l.GetVertices[1].Y - x.Y) + (l.GetVertices[1].Z - x.Z) * (l.GetVertices[1].Z - x.Z);
                double e2 = (l.GetVertices[2].X - x.X) * (l.GetVertices[2].X - x.X) + (l.GetVertices[2].Y - x.Y) * (l.GetVertices[2].Y - x.Y) + (l.GetVertices[2].Z - x.Z) * (l.GetVertices[2].Z - x.Z);

                int u = 0;
                if ((e0 >= e1) && (e2 >= e1))
                {
                    u = 1;
                }

                if ((e0 >= e2) && (e1 >= e2))
                {
                    u = 2;
                }

                while (true)
                {
                    z = null;
                    foreach (var et in l.GetVertices[u].GetAdjacentTriangles)
                    {
                        if ((et.TempIndex != x) && (Math.Sign(et.SignVertex(x)) != et.GetSignCenter))
                        {
                            z = et;
                            break;
                        }
                    }

                    if (z != null) break;

                    triangle t0 = null;
                    int u0 = 0;
                    double e = 5;
                    foreach (var et in l.GetVertices[u].GetAdjacentTriangles)
                    {
                        if (et.TempIndex != x)
                        {
                            et.TempIndex = x;
                            e0 = (et.GetVertices[0].X - x.X) * (et.GetVertices[0].X - x.X) + (et.GetVertices[0].Y - x.Y) * (et.GetVertices[0].Y - x.Y) + (et.GetVertices[0].Z - x.Z) * (et.GetVertices[0].Z - x.Z);
                            e1 = (et.GetVertices[1].X - x.X) * (et.GetVertices[1].X - x.X) + (et.GetVertices[1].Y - x.Y) * (et.GetVertices[1].Y - x.Y) + (et.GetVertices[1].Z - x.Z) * (et.GetVertices[1].Z - x.Z);
                            e2 = (et.GetVertices[2].X - x.X) * (et.GetVertices[2].X - x.X) + (et.GetVertices[2].Y - x.Y) * (et.GetVertices[2].Y - x.Y) + (et.GetVertices[2].Z - x.Z) * (et.GetVertices[2].Z - x.Z);

                            if ((e >= e0) && (e1 >= e0) && (e2 >= e0))
                            {
                                e = e0;
                                t0 = et;
                                u0 = 0;
                            }

                            if ((e >= e1) && (e2 >= e1) && (e0 >= e1))
                            {
                                e = e1;
                                t0 = et;
                                u0 = 1;
                            }

                            if ((e >= e2) && (e0 >= e2) && (e1 >= e2))
                            {
                                e = e2;
                                t0 = et;
                                u0 = 2;
                            }
                        }
                    }
                    l = t0;
                    u = u0;
                }
                l = z;
            }

            HashSet<triangle> m = new HashSet<triangle>();

            anymore(m, l, x);

            if (p == false)
            {
                foreach (var d in m)
                    pseuvotr.Add(new triangle(d.GetVertices[0], d.GetVertices[1], d.GetVertices[2], false));
            }

            List<Edge> b = new List<Edge>();

            foreach (var t in m)
            {
                if (b.RemoveAll(a => a.GetVertexes.Contains(t.GetVertices[0]) && a.GetVertexes.Contains(t.GetVertices[1])) == 0)
                {
                    b.Add(new Edge(t.GetVertices[0], t.GetVertices[1]));
                }
                if (b.RemoveAll(a => a.GetVertexes.Contains(t.GetVertices[2]) && a.GetVertexes.Contains(t.GetVertices[1])) == 0)
                {
                    b.Add(new Edge(t.GetVertices[2], t.GetVertices[1]));
                }
                if (b.RemoveAll(a => a.GetVertexes.Contains(t.GetVertices[2]) && a.GetVertexes.Contains(t.GetVertices[0])) == 0)
                {
                    b.Add(new Edge(t.GetVertices[2], t.GetVertices[0]));
                }
                t.deltr();
                triangles.Remove(t);
            }
            foreach (var q in b)
            {
                var tem = new triangle(x, q.GetVertexes[0], q.GetVertexes[1]);
                if (p == false) newtriangles.Add(tem);
                triangles.Add(tem);
            }

            vertices.Add(x);
            return 1;
        }