def run(this, points):
points = points.getNext().values
size = len(points)
scales = binomials(size)
out = Group()
for i in range(this.numPoints):
t = i / (this.numPoints - 1.0)
tt = 1 - t
pos = [0, 0, 0]
tan = [0, 0, 0]
for j in range(size):
top = size - j - 1
scale = scales[j] * math.pow(t, j) * math.pow(tt, top)
tanScale = 0
if j > 0:
tanScale += j * math.pow(t, j - 1) * math.pow(tt, top)
if j < size - 1:
tanScale += (size - j - 1) * math.pow(t, j) * math.pow(tt, top - 1)
tanScale *= scales[j]
pos = [pos[0] + scale * points[j][0], pos[1] + scale * points[j][1],
pos[2] + scale * points[j][2]]
tan = [tan[0] + tanScale * points[j][0],
tan[1] + tanScale * points[j][1],
tan[2] + tanScale * points[j][2]]
out.addVector(pos)
out.addTangent(tan)
return out
