示例#1
0
        //Vector2DをPointF[]に変換
        public static PointF[] ToPointF(Vector2D[] A)
        {
            PointF[] P = new PointF[A.Length];

            for (int i = 0; i < A.Length; i++)
            {
                P[i] = A[i].ToPointF();
            }

            return P;
        }
示例#2
0
 //コンストラクタ(引数:3D座標)
 public Vertex(float x, float y, float z)
 {
     center2D = new Vector2D();
     center3D = new Vector3D(x, y, z);
     brush = new SolidBrush(Color.Black);
     isSelected = false;
     willSelected = false;
     viewOK = false;
     diameter = 8;
     neighbor = new List<Vertex>();
     nearlyNeighbor = new List<Vertex>();
 }
示例#3
0
        //描画
        public void Draw(Graphics g)
        {
            if (isVisible)
            {
                Vector2D[] temp = new Vector2D[vertex.Count];

                for (int i = 0; i < temp.Length; i++)
                    temp[i] = vertex[i].center2D;

                if (isFill)
                    g.FillPolygon(nowbrush, Vector2D.ToPointF(temp.ToArray()));
                else
                    g.DrawPolygon(Pens.Black, Vector2D.ToPointF(temp.ToArray()));

                foreach (Edge ed in edge)
                    ed.Draw(g);

                foreach (Vertex vtx in vertex)
                    vtx.Draw(g);

            }
        }
示例#4
0
 //2つのベクトルの距離を取得
 public float Getdistance(Vector2D A)
 {
     return (A - this).Getnorm();
 }
示例#5
0
 public static float Inner(Vector2D A, Vector2D B)
 {
     return A.X * B.X + A.Y * B.Y;
 }
示例#6
0
 //座標を設定
 public Vector2D(Vector2D v)
 {
     this.Set(v.X, v.Y);
 }
示例#7
0
        //ビューポート変換
        public Vector2D ViewPortTranslate(Vector3D A)
        {
            Vector2D P = new Vector2D();

            P.X = (float)(A.X * (w / 2) + (w / 2));
            P.Y = (float)(A.Y * -(h / 2) + (h / 2));

            return P;
        }
示例#8
0
        //一括座標変換(関数オーバロード)
        public Vector2D Translate(Vector3D A)
        {
            Vector3D P = new Vector3D();
            Vector2D R = new Vector2D();

            P = ViewTranslate(A);
            P = ProjectionTranslate(P);
            R = ViewPortTranslate(P);

            return R;
        }
示例#9
0
        //一括座標変換(関数オーバロード)
        public Vertex[] Translate(Vertex[] A)
        {
            int len = A.Length;

            Vector3D[] P = new Vector3D[len];
            Vector2D[] R = new Vector2D[len];
            Vector3D[] Pt = new Vector3D[len];
            Vertex[] Rt = new Vertex[len];
            for (int i = 0; i < len; i++)
            {
                P[i] = new Vector3D();
                R[i] = new Vector2D();
                Pt[i] = new Vector3D();
                Rt[i] = new Vertex(0, 0);
            }

            for (int i = 0; i < len; i++)
            {
                Pt[i] = A[i].center3D;
            }

            for (int i = 0; i < len; i++)
            {
                P[i] = ViewTranslate(Pt[i]);
                P[i] = ProjectionTranslate(P[i]);
                R[i] = ViewPortTranslate(P[i]);
            }

            for (int i = 0; i < len; i++)
            {
                Rt[i].center3D = Pt[i];
                Rt[i].center2D = R[i];
            }

            return Rt;
        }
示例#10
0
        //一括座標変換
        public Vector2D[] Translate(Vector3D[] A)
        {
            int len = A.Length;

            Vector3D[] P = new Vector3D[len];
            Vector2D[] R = new Vector2D[len];
            for (int i = 0; i < len; i++)
            {
                P[i] = new Vector3D();
                R[i] = new Vector2D();
            }

            for (int i = 0; i < len; i++)
            {
                P[i] = ViewTranslate(A[i]);
                P[i] = ProjectionTranslate(P[i]);
                R[i] = ViewPortTranslate(P[i]);
            }

            return R;
        }
示例#11
0
        //カメラの回転
        public void RotateCamera(double x1, double y1, double x2, double y2)
        {
            Vector2D A = new Vector2D();
            Vector3D N1 = new Vector3D();
            Vector3D N2 = new Vector3D();
            Vector3D temp = new Vector3D();

            double alpha, beta;
            float x, y, z;

            N1.X = Setposition.Y;
            N1.Y = -Setposition.X;
            N1.Z = LookatPoint.Z;

            N1.Normalization();

            N2.X = LookatPoint.X;
            N2.Y = LookatPoint.Y;
            N2.Z = 1;

            N2.Normalization();

            if (Upward.Z > 0)
            {
                A.X = (float)((x2 - x1) / w);
                A.Y = (float)((y2 - y1) / h);
            }
            if (Upward.Z < 0)
            {
                A.X = (float)((x1 - x2) / w);
                A.Y = (float)((y1 - y2) / h);
            }

            alpha = 2 * Math.PI * A.Y;
            beta = 2 * Math.PI * A.X;

            x = Setposition.X;
            y = Setposition.Y;
            z = Setposition.Z;

            rotatematrix.Set_Rotate_ArbAx(N1, alpha);

            temp = Setposition * rotatematrix;

            rotatematrix.Set_Rotate_ArbAx(N2, beta);

            temp = temp * rotatematrix;

            SetPosition(temp.X, temp.Y, temp.Z);

            if (Vector3D.Inner(temp2, Setposition - LookatPoint) > 0 && Upward.Z > 0) Upward.Z = -Upward.Z;

            if (Vector3D.Inner(temp2, Setposition - LookatPoint) < 0 && Upward.Z < 0) Upward.Z = -Upward.Z;

            if (Upward.Z > 0) temp2.Set(-Setposition.X, -Setposition.Y, LookatPoint.Z);

            if (Upward.Z < 0) temp2.Set(Setposition.X, Setposition.Y, LookatPoint.Z);
        }
示例#12
0
        //正二十面体を生成
        private void SetIcosahedron(float length)
        {
            Face3D.Clear();
            Dual.Clear();

            Vector3D[] Vtemp = new Vector3D[12];
            osPolygon Ptemp;
            Vector2D temp1 = new Vector2D();
            double Ztemp1, Ztemp2;

            for (int i = 0; i < 12; i++)
                Vtemp[i] = new Vector3D();

            Ztemp1 = (length / (2.0 * Math.Sin(Math.PI / 5.0)));

            Ztemp1 = Math.Sqrt(length * length - Ztemp1 * Ztemp1);

            Ztemp2 = Math.Sqrt((length * Math.Cos(Math.PI / 6.0)) * (length * Math.Cos(Math.PI / 6.0)) - (length / (2 * Math.Sin(Math.PI / 5.0)) - length / (2 * Math.Tan(Math.PI / 5.0))) * (length / (2 * Math.Sin(Math.PI / 5.0)) - length / (2 * Math.Tan(Math.PI / 5.0))));
            Ztemp2 /= 2.0;

            Vtemp[0].Set((float)(length / (2 * Math.Sin(Math.PI / 5))), 0.0f, (float)Ztemp2);

            for (int i = 1; i < 5; i++)
            {
                temp1.X = (float)(Vtemp[0].X * Math.Cos(2 * i * Math.PI / 5.0) - Vtemp[0].Y * Math.Sin(2 * i * Math.PI / 5.0));
                temp1.Y = (float)(Vtemp[0].X * Math.Sin(2 * i * Math.PI / 5.0) + Vtemp[0].Y * Math.Cos(2 * i * Math.PI / 5.0));
                Vtemp[i].Set(temp1.X, temp1.Y, (float)Ztemp2);
            }

            Vtemp[5].Set(0.0f, 0.0f, (float)(Ztemp1 + Ztemp2));

            Vtemp[6].Set((float)(length / (2 * Math.Sin(Math.PI / 5))), 0.0f, -(float)Ztemp2);

            temp1.X = (float)(Vtemp[6].X * Math.Cos(Math.PI / 5.0) - Vtemp[6].Y * Math.Sin(Math.PI / 5.0));
            temp1.Y = (float)(Vtemp[6].X * Math.Sin(Math.PI / 5.0) + Vtemp[6].Y * Math.Cos(Math.PI / 5.0));
            Vtemp[6].Set(temp1.X, temp1.Y, -(float)Ztemp2);

            for (int i = 7; i < 11; i++)
            {
                temp1.X = (float)(Vtemp[6].X * Math.Cos(2 * (i - 6) * Math.PI / 5) - Vtemp[6].Y * Math.Sin(2 * (i - 6) * Math.PI / 5));
                temp1.Y = (float)(Vtemp[6].X * Math.Sin(2 * (i - 6) * Math.PI / 5) + Vtemp[6].Y * Math.Cos(2 * (i - 6) * Math.PI / 5));
                Vtemp[i].Set(temp1.X, temp1.Y, -(float)Ztemp2);
            }

            Vtemp[11].Set(0.0f, 0.0f, -(float)(Ztemp1 + Ztemp2));

            Ptemp = new osPolygon(0);
            Ptemp.AddVertex(Vtemp[0]);
            Ptemp.AddVertex(Vtemp[1]);
            Ptemp.AddVertex(Vtemp[5]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(1);
            Ptemp.AddVertex(Vtemp[1]);
            Ptemp.AddVertex(Vtemp[2]);
            Ptemp.AddVertex(Vtemp[5]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(2);
            Ptemp.AddVertex(Vtemp[2]);
            Ptemp.AddVertex(Vtemp[3]);
            Ptemp.AddVertex(Vtemp[5]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(3);
            Ptemp.AddVertex(Vtemp[3]);
            Ptemp.AddVertex(Vtemp[4]);
            Ptemp.AddVertex(Vtemp[5]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(4);
            Ptemp.AddVertex(Vtemp[4]);
            Ptemp.AddVertex(Vtemp[0]);
            Ptemp.AddVertex(Vtemp[5]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(5);
            Ptemp.AddVertex(Vtemp[7]);
            Ptemp.AddVertex(Vtemp[6]);
            Ptemp.AddVertex(Vtemp[11]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(6);
            Ptemp.AddVertex(Vtemp[8]);
            Ptemp.AddVertex(Vtemp[7]);
            Ptemp.AddVertex(Vtemp[11]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(7);
            Ptemp.AddVertex(Vtemp[9]);
            Ptemp.AddVertex(Vtemp[8]);
            Ptemp.AddVertex(Vtemp[11]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(8);
            Ptemp.AddVertex(Vtemp[10]);
            Ptemp.AddVertex(Vtemp[9]);
            Ptemp.AddVertex(Vtemp[11]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(9);
            Ptemp.AddVertex(Vtemp[6]);
            Ptemp.AddVertex(Vtemp[10]);
            Ptemp.AddVertex(Vtemp[11]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(10);
            Ptemp.AddVertex(Vtemp[1]);
            Ptemp.AddVertex(Vtemp[0]);
            Ptemp.AddVertex(Vtemp[6]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(11);
            Ptemp.AddVertex(Vtemp[1]);
            Ptemp.AddVertex(Vtemp[6]);
            Ptemp.AddVertex(Vtemp[7]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(12);
            Ptemp.AddVertex(Vtemp[2]);
            Ptemp.AddVertex(Vtemp[1]);
            Ptemp.AddVertex(Vtemp[7]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(13);
            Ptemp.AddVertex(Vtemp[2]);
            Ptemp.AddVertex(Vtemp[7]);
            Ptemp.AddVertex(Vtemp[8]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(14);
            Ptemp.AddVertex(Vtemp[3]);
            Ptemp.AddVertex(Vtemp[2]);
            Ptemp.AddVertex(Vtemp[8]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(15);
            Ptemp.AddVertex(Vtemp[3]);
            Ptemp.AddVertex(Vtemp[8]);
            Ptemp.AddVertex(Vtemp[9]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(16);
            Ptemp.AddVertex(Vtemp[4]);
            Ptemp.AddVertex(Vtemp[3]);
            Ptemp.AddVertex(Vtemp[9]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(17);
            Ptemp.AddVertex(Vtemp[4]);
            Ptemp.AddVertex(Vtemp[9]);
            Ptemp.AddVertex(Vtemp[10]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(18);
            Ptemp.AddVertex(Vtemp[0]);
            Ptemp.AddVertex(Vtemp[4]);
            Ptemp.AddVertex(Vtemp[10]);
            Face3D.Add(Ptemp);

            Ptemp = new osPolygon(19);
            Ptemp.AddVertex(Vtemp[0]);
            Ptemp.AddVertex(Vtemp[10]);
            Ptemp.AddVertex(Vtemp[6]);
            Face3D.Add(Ptemp);

            List<Vector3D> temp = new List<Vector3D>();

            for (int i = 0; i < Face3D.Count; i++)
            {
                Face3D[i].SetCenter();
                temp.Add(Face3D[i].center);
            }
            for (int i = 0; i < temp.Count; i++)
                Dual.Add(new Vertex(temp[i].X, temp[i].Y, temp[i].Z));

            Dual[0].SetNeighbor(Dual[1]);
            Dual[0].SetNeighbor(Dual[4]);
            Dual[0].SetNeighbor(Dual[10]);

            Dual[1].SetNeighbor(Dual[0]);
            Dual[1].SetNeighbor(Dual[2]);
            Dual[1].SetNeighbor(Dual[12]);

            Dual[2].SetNeighbor(Dual[1]);
            Dual[2].SetNeighbor(Dual[3]);
            Dual[2].SetNeighbor(Dual[14]);

            Dual[3].SetNeighbor(Dual[2]);
            Dual[3].SetNeighbor(Dual[4]);
            Dual[3].SetNeighbor(Dual[16]);

            Dual[4].SetNeighbor(Dual[3]);
            Dual[4].SetNeighbor(Dual[0]);
            Dual[4].SetNeighbor(Dual[18]);

            Dual[5].SetNeighbor(Dual[9]);
            Dual[5].SetNeighbor(Dual[6]);
            Dual[5].SetNeighbor(Dual[11]);

            Dual[6].SetNeighbor(Dual[5]);
            Dual[6].SetNeighbor(Dual[7]);
            Dual[6].SetNeighbor(Dual[13]);

            Dual[7].SetNeighbor(Dual[6]);
            Dual[7].SetNeighbor(Dual[8]);
            Dual[7].SetNeighbor(Dual[15]);

            Dual[8].SetNeighbor(Dual[7]);
            Dual[8].SetNeighbor(Dual[9]);
            Dual[8].SetNeighbor(Dual[17]);

            Dual[9].SetNeighbor(Dual[8]);
            Dual[9].SetNeighbor(Dual[5]);
            Dual[9].SetNeighbor(Dual[19]);

            Dual[10].SetNeighbor(Dual[0]);
            Dual[10].SetNeighbor(Dual[11]);
            Dual[10].SetNeighbor(Dual[19]);

            Dual[11].SetNeighbor(Dual[5]);
            Dual[11].SetNeighbor(Dual[10]);
            Dual[11].SetNeighbor(Dual[12]);

            Dual[12].SetNeighbor(Dual[1]);
            Dual[12].SetNeighbor(Dual[11]);
            Dual[12].SetNeighbor(Dual[13]);

            Dual[13].SetNeighbor(Dual[6]);
            Dual[13].SetNeighbor(Dual[12]);
            Dual[13].SetNeighbor(Dual[14]);

            Dual[14].SetNeighbor(Dual[2]);
            Dual[14].SetNeighbor(Dual[13]);
            Dual[14].SetNeighbor(Dual[15]);

            Dual[15].SetNeighbor(Dual[7]);
            Dual[15].SetNeighbor(Dual[14]);
            Dual[15].SetNeighbor(Dual[16]);

            Dual[16].SetNeighbor(Dual[3]);
            Dual[16].SetNeighbor(Dual[15]);
            Dual[16].SetNeighbor(Dual[17]);

            Dual[17].SetNeighbor(Dual[8]);
            Dual[17].SetNeighbor(Dual[16]);
            Dual[17].SetNeighbor(Dual[18]);

            Dual[18].SetNeighbor(Dual[4]);
            Dual[18].SetNeighbor(Dual[17]);
            Dual[18].SetNeighbor(Dual[19]);

            Dual[19].SetNeighbor(Dual[9]);
            Dual[19].SetNeighbor(Dual[18]);
            Dual[19].SetNeighbor(Dual[10]);
        }
示例#13
0
 //頂点2D座標を設定(vector2D)
 public void Set2D(Vector2D vtr2D)
 {
     center2D = vtr2D;
 }