//圆与矩形
public static bool RadiusToRectangle(CollRadius CollA, CollRectange CollB)
{
//长轴距离过滤
if (Vector2.Distance(CollA.GetV2Pos(), CollB.GetV2Pos()) > CollB.GetLength() + CollA.Radius)
{
return(false);
}
//获得圆相对矩形中心的相对坐标
float newRx = CollA.x - CollB.x;
float newRy = CollA.y - CollB.y;
if (Mathf.RoundToInt(CollB.GetCalRotate()) != 0)
{
//计算最新角度（与X轴的角度），同数学X Y轴 以矩形中心为坐标中心
float rotate = Mathf.Atan((CollB.y - CollA.y) / (CollB.x - CollA.x)) * Mathf.Rad2Deg;
float newrot = rotate - CollB.GetCalRotate(); //减去矩形旋转角度 与矩形同时旋转对应的角度
float distance = Vector2.Distance(CollA.GetV2Pos(), CollB.GetV2Pos());
//圆相对矩形的 x y
newRx = Mathf.Cos(newrot * Mathf.Deg2Rad) * distance;
newRy = Mathf.Sin(newrot * Mathf.Deg2Rad) * distance;
}
//矩形 与圆 相交公式 获得在矩形 x y范围内 与圆心最近的点
float dx = Mathf.Min(newRx, CollB.width * 0.5f);
float dx1 = Mathf.Max(dx, -CollB.width * 0.5f);
float dy = Mathf.Min(newRy, CollB.height * 0.5f);
float dy1 = Mathf.Max(dy, -CollB.height * 0.5f);
return((dx1 - newRx) * (dx1 - newRx) + (dy1 - newRy) * (dy1 - newRy) <= CollA.Radius * CollA.Radius);
}
//矩形与扇形(分离轴 三角形碰撞)
public static bool RectangleToSector(CollRectange CollA, CollSector CollB)
{
//长轴距离过滤
if (Vector2.Distance(CollA.GetV2Pos(), CollB.GetV2Pos()) > CollB.outCircle + CollA.GetLength())
{
return(false);
}
//扇形两个顶点
float angle = CollB.angle + CollB.GetCalRotate();
float x1 = CollB.x + Mathf.Cos(angle * 0.5f * Mathf.Deg2Rad);
float y1 = CollB.y + Mathf.Sin(angle * 0.5f * Mathf.Deg2Rad);
float x2 = CollB.x + Mathf.Cos(-angle * 0.5f * Mathf.Deg2Rad);
float y2 = CollB.y + Mathf.Sin(-angle * 0.5f * Mathf.Deg2Rad);
//三角形三个顶点
Vector2[] secPos = new Vector2[] { CollB.GetV2Pos(), new Vector2(x1, y1), new Vector2(x2, y2) };
//三角形三条中轴
//Vector2[] secAxies = new Vector2[] { GetV2Nor(secPos[0] - secPos[1]), GetV2Nor(secPos[0] - secPos[2]), GetV2Nor(secPos[1] - secPos[2]) };
//矩形四个顶点
float rectR = CollA.extents.magnitude;
float rotate = Mathf.Atan((CollA.width * 0.5f) / (CollA.height * 0.5f)) * Mathf.Rad2Deg + CollA.GetCalRotate();
float x = Mathf.Cos(rotate) * rectR;
float y = Mathf.Sin(rotate) * rectR;
Vector2[] rectPos = new Vector2[] {
new Vector2(CollA.x + x, CollA.y + y),
new Vector2(CollA.x + x, CollA.y - y),
new Vector2(CollA.x - x, CollA.y + y),
new Vector2(CollA.x - x, CollA.y - y)
};
//矩形中轴
//Vector2[] rectAxies = new Vector2[] { GetV2Nor(secPos[0] - secPos[1]), GetV2Nor(secPos[0] - secPos[3]), GetV2Nor(secPos[1] - secPos[2]),GetV2Nor(secPos[2] - secPos[3]) };
Vector2[] axises = new Vector2[] {
GetV2Nor(secPos[0] - secPos[1]), GetV2Nor(secPos[0] - secPos[2]), GetV2Nor(secPos[1] - secPos[2]),
GetV2Nor(secPos[0] - secPos[1]), GetV2Nor(secPos[0] - secPos[3]), GetV2Nor(secPos[1] - secPos[2]), GetV2Nor(secPos[2] - secPos[3])
};
for (int i = 0, len = axises.Length; i < len; i++)
{
var axis = axises[i];
Vector2 proA = GetProjection(axis, secPos);
Vector2 proB = GetProjection(axis, rectPos);
if (IsOverlay(proA, proB))
{
return(false);
}
}
return(true);
}
