C# 判断两条直线是否相交

时间:2021-08-01 13:58:45

直接上代码,过程不复杂

/// <summary>
/// 判断两条线是否相交
/// </summary>
/// <param name="a">线段1起点坐标</param>
/// <param name="b">线段1终点坐标</param>
/// <param name="c">线段2起点坐标</param>
/// <param name="d">线段2终点坐标</param>
/// <param name="intersection">相交点坐标</param>
/// <returns>是否相交 0:两线平行 -1:不平行且未相交 1:两线相交</returns> private int GetIntersection(Point a, Point b, Point c, Point d ,ref Point intersection)
{
//判断异常
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是同一个点!");
}
else
{
Debug.Print("AB是一个点,CD是一个点,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是一个点,且在CD线段上!");
}
else
{
Debug.Print ("A、B是一个点,且不在CD线段上!");
}
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是一个点,且在AB线段上!");
}
else
{
Debug.Print ("C、D是一个点,且不在AB线段上!");
}
} if ((b.Y - a.Y) * (c.X - d.X) - (b.X - a.X) * (c.Y - d.Y) == 0)
{
Debug.Print ("线段平行,无交点!");
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 ("线段相交于点(" + intersection.X + "," + intersection.Y + ")!");
return 1; //'相交
}
else
{
Debug.Print ("线段相交于虚交点(" + intersection.X + "," + intersection.Y + ")!");
return -1; //'相交但不在线段上
}
}