/// <summary>
/// Checks to see whether a given point is within a specified distance from a circle outline. In the XZ-plane. Outputs the closest t-value (to the given point) on the curve.
/// </summary>
/// <param name="curve"></param>
/// <param name="distanceThreshold"></param>
/// <param name="pointOfInterest"></param>
/// <param name="t"></param>
/// <returns></returns>
public static bool IsCloseToCircle3XZ(Circle3XZ circle, float distanceThreshold, Vector3 pointOfInterest, out float t)
{
Vector3 _circleCenter = circle.center;
float _circleRadius = circle.radius;
//constrain to XZ plane
_circleCenter.y = 0f;
pointOfInterest.y = 0f;
//initialize output t
t = 0.5f;
if (distanceThreshold == 0f)
{
return(pointOfInterest == _circleCenter ? true : false);
}
else if (distanceThreshold < 0f)
{
distanceThreshold = Mathf.Abs(distanceThreshold);
}
float _lesserRadiusSqr = Mathf.Pow(_circleRadius - distanceThreshold, 2f);
float _greaterRadiusSqr = Mathf.Pow(_circleRadius + distanceThreshold, 2f);
//float _distanceSqr = (pointOfInterest - _circleCenter).sqrMagnitude;
float _distanceSqr = circle.DistanceSqr(pointOfInterest, out t);
if (_distanceSqr >= _lesserRadiusSqr && _distanceSqr <= _greaterRadiusSqr)
{
return(true);
}
else
{
return(false);
}
}
/// <summary>
/// Checks to see whether a given point is close to a circle outline. In the XZ-plane.
/// </summary>
/// <param name="circleCenter"></param>
/// <param name="radius"></param>
/// <param name="pointOfInterest"></param>
/// <param name="distance"></param>
/// <returns></returns>
public static bool IsNearCircleOutlineXZ(Circle3XZ circle, Vector3 pointOfInterest, float distance)
{
Vector3 _circleCenter = circle.center;
float _circleRadius = circle.radius;
if (distance == 0f)
{
return(pointOfInterest == _circleCenter ? true : false);
}
else if (distance < 0f)
{
distance = Mathf.Abs(distance);
}
//constrain to XZ plane
_circleCenter.y = 0f;
pointOfInterest.y = 0f;
float _lesserRadiusSqr = Mathf.Pow(_circleRadius - distance, 2f);
float _greaterRadiusSqr = Mathf.Pow(_circleRadius + distance, 2f);
float _distanceSqr = (pointOfInterest - _circleCenter).sqrMagnitude;
if (_distanceSqr >= _lesserRadiusSqr && _distanceSqr <= _greaterRadiusSqr)
{
return(true);
}
else
{
return(false);
}
}
