/// <summary>
/// Evaluates position and tangent on the spline using curve distance from the start. Valid length is [0..TotalLength].
/// Caller must ensure that spline is valid before calling this method!
/// </summary>
public void EvalPositionTangentParametrized(float length, out PositionTangent positionTangent)
{
int i;
float t;
GetSegmentIndexAndTime(_parametrization.GetApproximateTimeParameter(length), out i, out t);
ItemData segment = _data[i];
positionTangent.Position = segment.EvalPosition(t);
positionTangent.Tangent = segment.EvalTangent(t);
}
/// <summary>
/// Evaluates position and tangent on the spline. Valid time is [0..1],
/// where 0 is spline first point, 1 - spline end point.
/// Caller must ensure that spline is valid before calling this method!
/// </summary>
public void EvalPositionTangent(float time, out PositionTangent positionTangent)
{
int i;
float t;
GetSegmentIndexAndTime(time, out i, out t);
ItemData segment = _data[i];
positionTangent.Position = segment.EvalPosition(t);
positionTangent.Tangent = segment.EvalTangent(t);
}
/// <summary>
/// Evaluates position and tangent on the spline using curve distance from the start. Valid length is [0..TotalLength].
/// Caller must ensure that spline is valid before calling this method!
/// </summary>
public PositionTangent EvalPositionTangentParametrized(float length)
{
int i;
float t;
GetSegmentIndexAndTime(_parametrization.GetApproximateTimeParameter(length), out i, out t);
ItemData segment = _data[i];
PositionTangent result;
result.Position = segment.EvalPosition(t);
result.Tangent = segment.EvalTangent(t);
return(result);
}
/// <summary>
/// Evaluates position and tangent on the spline. Valid time is [0..1],
/// where 0 is spline first point, 1 - spline end point.
/// Caller must ensure that spline is valid before calling this method!
/// </summary>
public PositionTangent EvalPositionTangent(float time)
{
int i;
float t;
GetSegmentIndexAndTime(time, out i, out t);
ItemData segment = _data[i];
PositionTangent result;
result.Position = segment.EvalPosition(t);
result.Tangent = segment.EvalTangent(t);
return(result);
}
/// <summary>
/// Evaluates Frenet frame on the spline using curve distance from the start. Valid length is [0..TotalLength].
/// Caller must ensure that spline is valid before calling this method!
/// </summary>
public void EvalFrameParametrized(float length, out CurveFrame frame)
{
int i;
float t;
GetSegmentIndexAndTime(_parametrization.GetApproximateTimeParameter(length), out i, out t);
ItemData segment = _data[i];
frame.Position = segment.EvalPosition(t);
Vector3 velocity = segment.EvalFirstDerivative(t);
Vector3 acceleration = segment.EvalSecondDerivative(t);
float VDotV = velocity.Dot(velocity);
float VDotA = velocity.Dot(acceleration);
frame.Normal = VDotV * acceleration - VDotA * velocity;
frame.Normal.Normalize();
frame.Tangent = velocity;
frame.Tangent.Normalize();
frame.Binormal = frame.Tangent.Cross(frame.Normal);
}