WebGIS中一些功能算法實例

1、如何判斷平面內兩條線是否相交并返回交點？

 /// <summary>
        /// 判斷平面內兩條線是否相交并返回交點
        /// </summary>
        /// <param name="a">線段1起點坐標</param>
        /// <param name="b">線段1終點坐標</param>
        /// <param name="c">線段2起點坐標</param>
        /// <param name="d">線段2終點坐標</param>
        /// <param name="intersection">相交點坐標</param>
        /// <returns>是否相交 0:兩線平行  -1:不平行且未相交  1:兩線相交</returns>
        public static int GetIntersection(ESRI.ArcGIS.Client.Geometry.MapPoint a, ESRI.ArcGIS.Client.Geometry.MapPoint b, ESRI.ArcGIS.Client.Geometry.MapPoint c, ESRI.ArcGIS.Client.Geometry.MapPoint d, ref ESRI.ArcGIS.Client.Geometry.MapPoint intersection)
        {
            a = new MapPoint(Math.Round(a.X, 3), Math.Round(a.Y, 3));
            b = new MapPoint(Math.Round(b.X, 3), Math.Round(b.Y, 3));
            c = new MapPoint(Math.Round(c.X, 3), Math.Round(c.Y, 3));
            d = new MapPoint(Math.Round(d.X, 3), Math.Round(d.Y, 3));


            //判斷異常
            if (Math.Abs(b.X - a.Y) + Math.Abs(b.X - a.X) + Math.Abs(d.Y - c.Y) + Math.Abs(d.X - c.X) == 0)
            {
                /*
                if (c.X - a.X == 0)
                    Debug.Print("ABCD是同一個點！");
                else
                    Debug.Print("AB是一個點，CD是一個點，且AC不同！");
                */
                return 0;
            }


            if (Math.Abs(b.Y - a.Y) + Math.Abs(b.X - a.X) == 0)
            {
                /*
                if ((a.X - d.X) * (c.Y - d.Y) - (a.Y - d.Y) * (c.X - d.X) == 0)
                    Debug.Print("A、B是一個點，且在CD線段上！");
                else
                    Debug.Print("A、B是一個點，且不在CD線段上！");
                */
                return 0;
            }
            if (Math.Abs(d.Y - c.Y) + Math.Abs(d.X - c.X) == 0)
            {
                /*
                if ((d.X - b.X) * (a.Y - b.Y) - (d.Y - b.Y) * (a.X - b.X) == 0)
                    Debug.Print("C、D是一個點，且在AB線段上！");
                else
                    Debug.Print("C、D是一個點，且不在AB線段上！");
                 */
                return 0;
            }


            if ((b.Y - a.Y) * (c.X - d.X) - (b.X - a.X) * (c.Y - d.Y) == 0)
            {
                //Debug.Print("線段平行，無交點！");
                return 0;
            }


            intersection.X = ((b.X - a.X) * (c.X - d.X) * (c.Y - a.Y) - c.X * (b.X - a.X) * (c.Y - d.Y) + a.X * (b.Y - a.Y) * (c.X - d.X)) / ((b.Y - a.Y) * (c.X - d.X) - (b.X - a.X) * (c.Y - d.Y));
            intersection.Y = ((b.Y - a.Y) * (c.Y - d.Y) * (c.X - a.X) - c.Y * (b.Y - a.Y) * (c.X - d.X) + a.Y * (b.X - a.X) * (c.Y - d.Y)) / ((b.X - a.X) * (c.Y - d.Y) - (b.Y - a.Y) * (c.X - d.X));


            if ((intersection.X - a.X) * (intersection.X - b.X) <= 0 && (intersection.X - c.X) * (intersection.X - d.X) <= 0 && (intersection.Y - a.Y) * (intersection.Y - b.Y) <= 0 && (intersection.Y - c.Y) * (intersection.Y - d.Y) <= 0)
            {
                // Debug.Print("線段相交于點(" + intersection.X + "," + intersection.Y + ")！");
                return 1; //'相交
            }
            else
            {
                //Debug.Print("線段相交于虛交點(" + intersection.X + "," + intersection.Y + ")！");
                return -1; //'相交但不在線段上
            }
        }