/// <summary>
/// return the closest point on the disc from K, if the GravityInfo permit it
/// </summary>
/// <param name="k"></param>
/// <param name="canApplyGravity"></param>
/// <param name="gravityDisc"></param>
/// <returns></returns>
public bool GetClosestPointOnDiscIfWeCan(Vector3 k, GravityOverrideDisc gravityDisc, out Vector3 closestPoint)
{
closestPoint = Vector3.zero;
if (!gravityDisc.CanApplyGravity || (!AllowBottom && !_plane.IsAbove(k)))
{
return(false);
}
//project point to a plane
Vector3 kProjected = ExtPlane.ProjectPointInPlane(_plane, k);
//if dist² < radius², this projected point is inside the circle
float distSquared = (kProjected - _plane.Point).sqrMagnitude;
bool isInsideShape = distSquared < _radiusSquared;
if (isInsideShape)
{
if (!gravityDisc.Face)
{
return(false);
}
closestPoint = kProjected;
return(true);
}
if (!gravityDisc.Borders)
{
return(false);
}
//return the closest point on the circle (extremity of the disc)
closestPoint = _plane.Point + (kProjected - _plane.Point).FastNormalized() * _radius;
return(true);
}
/// <summary>
/// Return the closest point on the disc from k
/// </summary>
public bool GetClosestPointOnDisc(Vector3 k, ref Vector3 closestPoint)
{
closestPoint = Vector3.zero;
if (!AllowBottom && !_plane.IsAbove(k))
{
return(false);
}
//project point to a plane
Vector3 kProjected = ExtPlane.ProjectPointInPlane(_plane, k);
//if dist² < radius², this projected point is inside the circle
float distSquared = (kProjected - _plane.Point).sqrMagnitude;
bool isInsideShape = distSquared < _radiusSquared;
if (isInsideShape)
{
closestPoint = kProjected;
}
else
{
closestPoint = _plane.Point + (kProjected - _plane.Point).FastNormalized() * _radius;
}
return(true);
}
/// <summary>
/// return the closest point on the circle from k
/// </summary>
/// <param name="k"></param>
/// <returns></returns>
public Vector3 GetClosestPointOnCircle(Vector3 k)
{
//project point to a plane
Vector3 kProjected = ExtPlane.ProjectPointInPlane(_plane, k);
//return the closest point on the circle
Vector3 pointExtremity = _plane.Point + (kProjected - _plane.Point).FastNormalized() * _radius;
return(pointExtremity);
}
/// <summary>
/// assume k is NOT on the same plane as the circle, we first do a projection
/// √( | xp−xc |² +| yp−yc |²) < r
/// </summary>
/// <param name="k"></param>
/// <returns></returns>
public bool IsInsideShapeWithProjection(Vector3 k)
{
if (!AllowBottom && !_plane.IsAbove(k))
{
return(false);
}
Vector3 kProjected = ExtPlane.ProjectPointInPlane(_plane, k);
float distSquared = (kProjected - _plane.Point).sqrMagnitude;
return(distSquared < _radiusSquared);
}