public static float ArcLength(this Bezier2 bezier, float step = 0.1f)
{
if (bezier.IsStraight())
{
return((bezier.d - bezier.a).magnitude);
}
float ret = 0;
float t;
for (t = step; t < 1f; t += step)
{
float len = (bezier.Position(t) - bezier.Position(t - step)).magnitude;
ret += len;
}
{
float len = (bezier.d - bezier.Position(t - step)).magnitude;
ret += len;
}
return(ret);
}
/// <summary>
/// Travels some distance on beizer and calculates the point and tangent at that distance.
/// </summary>
/// <param name="distance">distance to travel on the arc in meteres</param>
/// <param name="tangent">normalized tangent on the curve toward the end of the beizer.</param>
/// <returns>point on the curve at the given distance.</returns>
public static Vector2 Travel2(this Bezier2 beizer, float distance, out Vector2 tangent)
{
if (beizer.IsStraight())
{
tangent = (beizer.d - beizer.a).normalized;
return(beizer.TravelStraight(distance));
}
float t = beizer.Travel(0, distance);
tangent = beizer.Tangent(t).normalized;
return(beizer.Position(t));
}
public static float ArcLength(this Bezier2 bezier, Vector2 point, float step = 0.1f)
{
if (bezier.IsStraight())
{
return((point - bezier.a).magnitude);
}
float ret = 0;
float t;
for (t = step; t <= 1f + Epsilon; t += step)
{
var p0 = bezier.Position(t - step);
float len = (bezier.Position(t) - p0).magnitude;
float len2 = (point - p0).magnitude;
if (len2 <= len + Epsilon)
{
ret += len2;
return(ret);
}
ret += len;
}
return(ret);
}
public Vector2 CalculateCenter() {
Vector2 pointAcc = Vector3.zero;
float totalWieght = 0;
foreach(var segmentID in SegmentList) {
Bezier2 bezier = segmentID.ToSegment().CalculateSegmentBezier3().ToCSBezier2();
float weitght = segmentID.ToSegment().m_averageLength;
for (float t = 0; t < 1; t+=0.1f) {
var pos = bezier.Position(t);
pointAcc += pos * weitght;
totalWieght += weitght;
}
}
var ret = pointAcc / totalWieght;
return ret;
}
