Creating points on simple quadratic bezier curve for Grasshopper C# component.

SimpleBezier.cs

private void RunScript(List<Point3d> pts, int res, ref object A)
  {
    List<Point3d> points = new List<Point3d>();

    if(pts.Count >= 3){

      for(int i = 0; i < pts.Count - 2; i++){
        Point3d pt1, pt2, pt3 = new Point3d();

        if(pts.Count == 3){
          pt1 = pts[i];
          pt2 = pts[i + 1];
          pt3 = pts[i + 2];
        }else{
          if(i == 0){
            pt1 = pts[i];
            pt2 = pts[i + 1];
            pt3 = pts[i + 1] + (pts[i + 2] - pts[i + 1]) * 0.5;
          }else if(i == pts.Count - 3){
            pt1 = pts[i] + (pts[i + 1] - pts[i]) * 0.5;
            pt2 = pts[i + 1];
            pt3 = pts[i + 2];
          }else{
            pt1 = pts[i] + (pts[i + 1] - pts[i]) * 0.5;
            pt2 = pts[i + 1];
            pt3 = pts[i + 1] + (pts[i + 2] - pts[i + 1]) * 0.5;
          }
        }

        for(int n = 0; n < res; n++){
          Point3d tpt1 = pt1 + (pt2 - pt1) * n / (res - 1);
          Point3d tpt2 = pt2 + (pt3 - pt2) * n / (res - 1);

          Point3d newPt = tpt1 + (tpt2 - tpt1) * n / (res - 1);
          points.Add(newPt);
        }
      }
    }

    A = points;
  }