如何检查矩形是否与三个点之间的区域重叠? (C# 和 XNA)

How do I check if a Rectangle overlaps the area between three Points? (C# and XNA)

我正在用 C# 和 XNA 制作游戏,我使用三个点来表示敌方对象的碰撞箱。 Rectangle 变量用于表示玩家的碰撞箱。我为敌人使用了三个点而不是矩形,因为敌人的形状像三角形。

//Example coordinates
Point pointOne = new Point(0, 50);
Point pointTwo = new Point(50, 50);
Point pointThree = new Point(25, 0);
Rectangle rect = new Rectangle(0, 0, 10, 10);

我需要一种方法来确定矩形是否与所有点之间的区域重叠,如下图所示。任何人都可以向我展示可以帮助我完成此任务的方法或某种代码吗?

这是另一种实现方式:

class Triangle
{
    Vector2 topPoint, rightPoint, leftPoint;


    public Triangle(Vector2 p1, Vector2 p2, Vector2 p3)
    {
        topPoint = p1;
        rightPoint = p2;
        leftPoint = p3;
    }



    public bool IsRectIntersecting(List<Vector2> corners)//corners are the corners of the polygon being tested
    {


        if (AreAnyOfTheCornesInsideTriangleLineSegment(topPoint, rightPoint, corners) && 
            AreAnyOfTheCornesInsideTriangleLineSegment(rightPoint, leftPoint, corners) && 
            AreAnyOfTheCornesInsideTriangleLineSegment(leftPoint, topPoint, corners))
        {
            return true;
        }

        return false;
    }

    private bool AreAnyOfTheCornesInsideTriangleLineSegment(Vector2 pointA, Vector2 pointB, List<Vector2> corners)
    {
        Vector2 lineSegment = pointA - pointB;
        Vector3 lineSegment3D = new Vector3(lineSegment, 0);
        Vector3 normal3D = Vector3.Cross(lineSegment3D, Vector3.UnitZ);
        Vector2 normal = new Vector2(normal3D.X, normal3D.Y);

        foreach (Vector2 corner in corners)
        {
            if (Vector2.Dot(normal, corner - pointB) < 0)
            {
                return true;
            }
        }

        return false;
    }
}