/// <summary>
/// Add a key point at a specified index
/// </summary>
/// <param name="index">The index at which the key point will be added</param>
/// <returns>The new key point</returns>
public BezierPoint3D AddKeyPointAt(int index)
{
BezierPoint3D newPoint = new GameObject("Point " + this.KeyPoints.Count, typeof(BezierPoint3D)).GetComponent <BezierPoint3D>();
newPoint.Curve = this;
newPoint.transform.parent = this.transform;
newPoint.transform.localRotation = Quaternion.identity;
if (this.KeyPointsCount == 0 || this.KeyPointsCount == 1)
{
newPoint.LocalPosition = Vector3.zero;
}
else
{
if (index == 0)
{
newPoint.Position = (this.KeyPoints[0].Position - this.KeyPoints[1].Position).normalized + this.KeyPoints[0].Position;
}
else if (index == this.KeyPointsCount)
{
newPoint.Position = (this.KeyPoints[index - 1].Position - this.KeyPoints[index - 2].Position).normalized + this.KeyPoints[index - 1].Position;
}
else
{
newPoint.Position = BezierCurve3D.GetPointOnCubicCurve(0.5f, this.KeyPoints[index - 1], this.KeyPoints[index]);
}
}
this.KeyPoints.Insert(index, newPoint);
return(newPoint);
}
public Vector3 GetNormal(float time, Vector3 up)
{
BezierPoint3D startPoint;
BezierPoint3D endPoint;
float timeRelativeToSegment;
this.GetCubicSegment(time, out startPoint, out endPoint, out timeRelativeToSegment);
return(BezierCurve3D.GetNormalOnCubicCurve(timeRelativeToSegment, up, startPoint, endPoint));
}
public Quaternion GetRotation(float time, Vector3 up)
{
BezierPoint3D startPoint;
BezierPoint3D endPoint;
float timeRelativeToSegment;
this.GetCubicSegment(time, out startPoint, out endPoint, out timeRelativeToSegment);
return(BezierCurve3D.GetRotationOnCubicCurve(timeRelativeToSegment, up, startPoint, endPoint));
}
/// <summary>
/// Evaluates a position along the curve at a specified normalized time [0, 1]
/// </summary>
/// <param name="time">The normalized length at which we want to get a position [0, 1]</param>
/// <returns>The evaluated Vector3 position</returns>
public Vector3 GetPoint(float time)
{
// The evaluated points is between these two points
BezierPoint3D startPoint;
BezierPoint3D endPoint;
float timeRelativeToSegment;
this.GetCubicSegment(time, out startPoint, out endPoint, out timeRelativeToSegment);
return(BezierCurve3D.GetPointOnCubicCurve(timeRelativeToSegment, startPoint, endPoint));
}
public float GetApproximateLength()
{
float length = 0;
int subCurveSampling = (this.Sampling / (this.KeyPointsCount - 1)) + 1;
for (int i = 0; i < this.KeyPointsCount - 1; i++)
{
length += BezierCurve3D.GetApproximateLengthOfCubicCurve(this.KeyPoints[i], this.KeyPoints[i + 1], subCurveSampling);
}
return(length);
}
public void GetCubicSegment(float time, out BezierPoint3D startPoint, out BezierPoint3D endPoint, out float timeRelativeToSegment)
{
startPoint = null;
endPoint = null;
timeRelativeToSegment = 0f;
float subCurvePercent = 0f;
float totalPercent = 0f;
float approximateLength = this.GetApproximateLength();
int subCurveSampling = (this.Sampling / (this.KeyPointsCount - 1)) + 1;
for (int i = 0; i < this.KeyPointsCount - 1; i++)
{
subCurvePercent = BezierCurve3D.GetApproximateLengthOfCubicCurve(this.KeyPoints[i], this.KeyPoints[i + 1], subCurveSampling) / approximateLength;
if (subCurvePercent + totalPercent > time)
{
startPoint = this.KeyPoints[i];
endPoint = this.KeyPoints[i + 1];
break;
}
totalPercent += subCurvePercent;
}
if (endPoint == null)
{
// If the evaluated point is very near to the end of the curve we are in the last segment
startPoint = this.KeyPoints[this.KeyPointsCount - 2];
endPoint = this.KeyPoints[this.KeyPointsCount - 1];
// We remove the percentage of the last sub-curve
totalPercent -= subCurvePercent;
}
timeRelativeToSegment = (time - totalPercent) / subCurvePercent;
}