__author__ = 'thoth'

# http://blender.stackexchange.com/questions/53983/get-points-of-bezier-curve-in-coordinate-space-of-the-scene

import bpy
from math import *

def interpBez3(bp0, t, bp3):
    # bp1, HR, HL, bp2

    return interpBez3_(bp0.co, bp0.handle_right, bp3.handle_left, bp3.co, t)
#    return interpBez3_(bp0.co, bp0.handle_left, bp3.handle_right, bp3.co, t)

def interpBez3_(p0, p1, p2, p3, t):
    r = 1-t
    return (r*r*r*p0 +
            3*r*r*t*p1 +
            3*r*t*t*p2 +
            t*t*t*p3)

def mission1(obj, t):

    i1 = floor(t)

    curve = obj.data


    bp1 = curve.splines[0].bezier_points[i1]
    bp2 = curve.splines[0].bezier_points[i1+1]

    bpy.context.scene.cursor_location = obj.matrix_world * interpBez3(bp1, t-i1, bp2)



mission1(bpy.context.active_object, 0.7)