public Quaternion Evaluate(float t)
{
// Sanity checks
if (rotations.Length == 0)
{
return(Quaternion.identity);
}
if (rotations.Length == 1)
{
return(rotations[0]);
}
int startIndex = 0;
for (startIndex = 0; startIndex < times.Length - 1; ++startIndex)
{
if (t < times[startIndex + 1])
{
break;
}
}
// Edge case 0: at the end of the path.
if (startIndex == rotations.Length - 1)
{
return(rotations[startIndex]);
}
switch (interpolationTypes[startIndex])
{
case RotationInterpolationType.Linear:
{
int nextIndex = Mathf.RoundToInt(Mathf.Min(startIndex + 1, times.Length - 1));
float overTime = t - times[startIndex];
float intervalTime = times[nextIndex] - times[startIndex];
if (intervalTime <= 0)
{
return(rotations[nextIndex]);
}
float normTime = overTime / intervalTime;
return(Quaternion.Lerp(rotations[startIndex], rotations[nextIndex], normTime));
}
case RotationInterpolationType.CubicSpline:
{
Quaternion slope1, slope2;
// Edge case 1: entire curve is just two points.
if (rotations.Length == 2)
{
slope1 = SplineUtils.EstimateSlope(rotations[0], rotations[1], times[1] - times[0]);
slope2 = slope1;
}
// Edge case 2: first section of the curve.
else if (startIndex == 0)
{
slope1 = SplineUtils.EstimateSlope(rotations[0], rotations[1], times[1] - times[0]);
slope2 = SplineUtils.EstimateSlope(rotations[0], rotations[1], rotations[2], times[1] - times[0], times[2] - times[1]);
}
else if (startIndex == rotations.Length - 2) // Edge case 3: last section of the curve.
{
slope1 = SplineUtils.EstimateSlope(rotations[startIndex - 1], rotations[startIndex], rotations[startIndex + 1], times[startIndex] - times[startIndex - 1], times[startIndex + 1] - times[startIndex]);
slope2 = SplineUtils.EstimateSlope(rotations[startIndex], rotations[startIndex + 1], times[startIndex + 1] - times[startIndex]);
}
else // General case: in the middle of the curve.
{
slope1 = SplineUtils.EstimateSlope(rotations[startIndex - 1], rotations[startIndex], rotations[startIndex + 1], times[startIndex] - times[startIndex - 1], times[startIndex + 1] - times[startIndex]);
slope2 = SplineUtils.EstimateSlope(rotations[startIndex], rotations[startIndex + 1], rotations[startIndex + 2], times[startIndex + 1] - times[startIndex], times[startIndex + 2] - times[startIndex + 1]);
}
return(SplineUtils.EvaluateSpline(rotations[startIndex], slope1, rotations[startIndex + 1], slope2, t, times[startIndex], times[startIndex + 1]));
}
case RotationInterpolationType.Slerp:
{
return(Quaternion.Slerp(rotations[startIndex], rotations[startIndex + 1], (t - times[startIndex]) / (times[startIndex + 1] - times[startIndex])));
}
default:
Debug.LogError($"[CameraTools.RotationAnimation]: Invalid interpolation type {interpolationTypes[startIndex]}");
return(Quaternion.identity);
}
}
public Vector3 Evaluate(float t)
{
// Sanity checks
if (positions.Length == 0)
{
return(Vector3.zero);
}
if (positions.Length == 1)
{
return(positions[0]);
}
int startIndex = 0;
for (startIndex = 0; startIndex < times.Length - 1; ++startIndex)
{
if (t < times[startIndex + 1])
{
break;
}
}
// Edge case 0: at the end of the path.
if (startIndex == positions.Length - 1)
{
return(positions[startIndex]);
}
switch (interpolationTypes[startIndex])
{
case PositionInterpolationType.Linear: // Linear interpolation.
int nextIndex = Mathf.Min(startIndex + 1, times.Length - 1);
float overTime = t - times[startIndex];
float intervalTime = times[nextIndex] - times[startIndex];
if (intervalTime <= 0)
{
return(positions[nextIndex]);
}
float normTime = overTime / intervalTime;
return(Vector3.Lerp(positions[startIndex], positions[nextIndex], normTime));
case PositionInterpolationType.CubicSpline: // Cubic spline interpolation using Hermite polynomials.
Vector3 slope1, slope2;
// Edge case 1: entire curve is just two points.
if (positions.Length == 2)
{
slope1 = SplineUtils.EstimateSlope(positions[0], positions[1], times[1] - times[0]);
slope2 = slope1;
}
// Edge case 2: first section of the curve.
else if (startIndex == 0)
{
slope1 = SplineUtils.EstimateSlope(positions[0], positions[1], times[1] - times[0]);
slope2 = SplineUtils.EstimateSlope(positions[0], positions[1], positions[2], times[1] - times[0], times[2] - times[1]);
}
else if (startIndex == positions.Length - 2) // Edge case 3: last section of the curve.
{
slope1 = SplineUtils.EstimateSlope(positions[startIndex - 1], positions[startIndex], positions[startIndex + 1], times[startIndex] - times[startIndex - 1], times[startIndex + 1] - times[startIndex]);
slope2 = SplineUtils.EstimateSlope(positions[startIndex], positions[startIndex + 1], times[startIndex + 1] - times[startIndex]);
}
else // General case: in the middle of the curve.
{
slope1 = SplineUtils.EstimateSlope(positions[startIndex - 1], positions[startIndex], positions[startIndex + 1], times[startIndex] - times[startIndex - 1], times[startIndex + 1] - times[startIndex]);
slope2 = SplineUtils.EstimateSlope(positions[startIndex], positions[startIndex + 1], positions[startIndex + 2], times[startIndex + 1] - times[startIndex], times[startIndex + 2] - times[startIndex + 1]);
}
return(SplineUtils.EvaluateSpline(positions[startIndex], slope1, positions[startIndex + 1], slope2, t, times[startIndex], times[startIndex + 1]));
default:
Debug.LogError($"[CameraTools.Vector3Animation]: Invalid interpolation type {interpolationTypes[startIndex]}");
return(Vector3.zero);
}
}
