/// <summary>
/// Compute the length on a catmull rom spline between control point 1 and 2 </summary>
/// <param name="theP0"> control point 0 </param>
/// <param name="theP1"> control point 1 </param>
/// <param name="theP2"> control point 2 </param>
/// <param name="theP3"> control point 3 </param>
/// <param name="theStartRange"> the starting range on the segment (use 0) </param>
/// <param name="theEndRange"> the end range on the segment (use 1) </param>
/// <param name="theCurveTension"> the curve tension </param>
/// <returns> the length of the segment </returns>
private float CatmullRomLength(Vector3 theP0, Vector3 theP1, Vector3 theP2, Vector3 theP3, float theStartRange, float theEndRange, float theCurveTension)
{
float epsilon = 0.001f;
float middleValue = (theStartRange + theEndRange) * 0.5f;
Vector3 start = theP1;
if (theStartRange != 0)
{
start = CCVector3.CatmulRomPoint(theP0, theP1, theP2, theP3, theStartRange, theCurveTension);
}
Vector3 end = theP2;
if (theEndRange != 1)
{
end = CCVector3.CatmulRomPoint(theP0, theP1, theP2, theP3, theEndRange, theCurveTension);
}
Vector3 middle = CCVector3.CatmulRomPoint(theP0, theP1, theP2, theP3, middleValue, theCurveTension);
float l = Vector3.Distance(end, start);
float l1 = Vector3.Distance(middle, start);
float l2 = Vector3.Distance(end, middle);
float len = l1 + l2;
if (l + epsilon < len)
{
l1 = CatmullRomLength(theP0, theP1, theP2, theP3, theStartRange, middleValue, theCurveTension);
l2 = CatmullRomLength(theP0, theP1, theP2, theP3, middleValue, theEndRange, theCurveTension);
}
l = l1 + l2;
return(l);
}
public override Vector3 Interpolate(float value, int currentControlPoint)
{
if (currentControlPoint + 3 >= _myPoints.Count)
{
return(_myPoints[currentControlPoint]);
}
return(CCVector3.BezierPoint(_myPoints[currentControlPoint], _myPoints[currentControlPoint + 1], _myPoints[currentControlPoint + 2], _myPoints[currentControlPoint + 3], value));
}
public override Vector3 Interpolate(float value, int currentControlPoint)
{
EndEditSpline();
if (currentControlPoint + 3 >= _myPoints.Count)
{
return(_myPoints[currentControlPoint]);
}
return(CCVector3.CatmulRomPoint(_myPoints[currentControlPoint], _myPoints[currentControlPoint + 1], _myPoints[currentControlPoint + 2], _myPoints[currentControlPoint + 3], value, _myCurveTension));
}
/// <summary>
/// Compute the length on a bezier spline between control point 1 and 2 </summary>
/// <param name="theP0"> control point 0 </param>
/// <param name="theP1"> control point 1 </param>
/// <param name="theP2"> control point 2 </param>
/// <param name="theP3"> control point 3 </param>
/// <returns> the length of the segment </returns>
public static float BezierLength(Vector3 theP0, Vector3 theP1, Vector3 theP2, Vector3 theP3)
{
float delta = 0.01f, t = 0.0f, result = 0.0f;
Vector3 v1 = theP0, v2 = new Vector3();
while (t <= 1.0f)
{
v2 = CCVector3.BezierPoint(theP0, theP1, theP2, theP3, t);
result += Vector3.Distance(v1, v2);
v1.Set(v2.x, v2.y, v2.z);
t += delta;
}
return(result);
}