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直接上代碼,過程不複雜
/// <summary>/// 判斷兩條線是否相交/// </summary>/// <param name="a">線段1起點座標</param>/// <param name="b">線段1終點座標</param>/// <param name="c">線段2起點座標</param>/// <param name="d">線段2終點座標</param>/// <param name="intersection">相交點座標</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>private int GetIntersection(Point a, Point b, Point c, Point d ,ref Point intersection){ //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!"); } } 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 ("線段相交於點(" + intersection.X + "," + intersection.Y + ")!"); return 1; //‘相交 } else { Debug.Print ("線段相交於虛交點(" + intersection.X + "," + intersection.Y + ")!"); return -1; //‘相交但不線上段上 }}
C# 判斷兩條直線是否相交