The objective of the paper is to describe computational methods of control synthesis for a certain class of nonlinear driftless control systems. Such systems are previously found to be simplifications (called homogeneous approximations) of more complicated nonlinear systems that still preserve most crucial properties of the original ones like controllability. The class of systems in question have a special feed-forward form that is sufficiently easy to integrate and allows to solve concrete problems in control theory. Here we continue our research with describing the computational procedure for control synthesis as the extension of existing software libraries in Python language. We show that our approach leads to faster computation times compared to standard methods. The results are illustrated with some numerical experiments and simulations.