/// <summary>
/// 判断AABB与圆形相交
/// </summary>
/// <param name="aABBArea"></param>
/// <param name="target"></param>
/// <returns></returns>
public static bool AABB(AABBArea aABBArea, CircleArea target)
{
Vector2 v = Vector2.Max(aABBArea.center - target.o, -(aABBArea.center - target.o));
Vector2 u = Vector2.Max(v - aABBArea.extents, Vector2.zero);
return(u.sqrMagnitude < target.r * target.r);
}
/// <summary>
/// 判断OBB与圆形相交
/// </summary>
/// <param name="oBBArea"></param>
/// <param name="target"></param>
/// <returns></returns>
public static bool OBB(OBBArea oBBArea, CircleArea target)
{
Vector2 p = oBBArea.center - target.o;
p = Quaternion.AngleAxis(-oBBArea.angle, Vector3.forward) * p;
Vector2 v = Vector2.Max(p, -p);
Vector2 u = Vector2.Max(v - oBBArea.extents, Vector2.zero);
return(u.sqrMagnitude < target.r * target.r);
}
/// <summary>
/// 判断多边形与圆形相交
/// </summary>
/// <param name="polygonArea"></param>
/// <param name="target"></param>
/// <returns></returns>
public static bool PolygonS(PolygonArea polygonArea, CircleArea target)
{
if (polygonArea.vertexes.Length < 3)
{
Debug.Log("多边形边数小于3.");
return(false);
}
#region 定义临时变量
//圆心
Vector2 circleCenter = target.o;
//半径的平方
float sqrR = target.r * target.r;
//多边形顶点
Vector2[] polygonVertexes = polygonArea.vertexes;
//圆心指向顶点的向量数组
Vector2[] directionBetweenCenterAndVertexes = new Vector2[polygonArea.vertexes.Length];
//多边形的边
Vector2[] polygonEdges = new Vector2[polygonArea.vertexes.Length];
for (int i = 0; i < polygonArea.vertexes.Length; i++)
{
directionBetweenCenterAndVertexes[i] = polygonVertexes[i] - circleCenter;
polygonEdges[i] = polygonVertexes[i] - polygonVertexes[(i + 1) % polygonArea.vertexes.Length];
}
#endregion
#region 以下为圆心处于多边形内的判断。
//总夹角
float totalAngle = Vector2.SignedAngle(directionBetweenCenterAndVertexes[polygonVertexes.Length - 1], directionBetweenCenterAndVertexes[0]);
for (int i = 0; i < polygonVertexes.Length - 1; i++)
{
totalAngle += Vector2.SignedAngle(directionBetweenCenterAndVertexes[i], directionBetweenCenterAndVertexes[i + 1]);
}
if (Mathf.Abs(Mathf.Abs(totalAngle) - 360f) < 0.1f)
{
return(true);
}
#endregion
#region 以下为多边形的边与圆形相交的判断。
for (int i = 0; i < polygonEdges.Length; i++)
{
if (SegmentPointSqrDistance(polygonVertexes[i], polygonEdges[i], circleCenter) < sqrR)
{
return(true);
}
}
#endregion
return(false);
}
/// <summary>
/// 判断圆形与扇形相交。
/// </summary>
/// <param name="sectorArea"></param>
/// <param name="target"></param>
/// <returns></returns>
public static bool Sector(SectorArea sectorArea, CircleArea target)
{
Vector2 tempDistance = target.o - sectorArea.o;
float halfAngle = Mathf.Deg2Rad * sectorArea.angle / 2;
if (tempDistance.sqrMagnitude < (sectorArea.r + target.r) * (sectorArea.r + target.r))
{
if (Vector3.Angle(tempDistance, sectorArea.direction) < sectorArea.angle / 2)
{
return(true);
}
else
{
Vector2 targetInSectorAxis = new Vector2(Vector2.Dot(tempDistance,
sectorArea.direction), Mathf.Abs(Vector2.Dot(tempDistance, new Vector2(-sectorArea.direction.y, sectorArea.direction.x))));
Vector2 directionInSectorAxis = sectorArea.r * new Vector2(Mathf.Cos(halfAngle), Mathf.Sin(halfAngle));
return(SegmentPointSqrDistance(Vector2.zero, directionInSectorAxis, targetInSectorAxis) <= target.r * target.r);
}
}
return(false);
}
/// <summary>
/// 判断圆形与圆形相交
/// </summary>
/// <param name="circleArea">判断圆</param>
/// <param name="target">目标圆</param>
/// <returns></returns>
public static bool Circle(CircleArea circleArea, CircleArea target)
{
return((circleArea.o - target.o).sqrMagnitude < (circleArea.r + target.r) * (circleArea.r + target.r));
}
/// <summary>
/// 判断胶囊体与圆形相交
/// </summary>
/// <param name="capsuleArea"></param>
/// <param name="circleArea"></param>
/// <returns></returns>
public static bool Capsule(CapsuleArea capsuleArea, CircleArea circleArea)
{
float sqrD = SegmentPointSqrDistance(capsuleArea.X0, capsuleArea.U, circleArea.o);
return(sqrD < (circleArea.r + capsuleArea.d) * (circleArea.r + capsuleArea.d));
}
