The calculations for warping the vessel through space have been completed. The big complication here is doing the required trigonometry on a number scale that ranges from 1 meter (for docking) all the way up to 10's of light years. 

It should be noted that this simulation is intended to be about immersing yourself in life on board a starship. Even at warp 9.5 the ship will take days to travel between stars. These speeds are accurate to the TV series.