hm... i never had problems with simply multiplying the time_step. you will reach the target in the same time. of course there will be inaccuracies and the curve will look a bit differently but this never was noticeable as a problem to me. you should also make sure that the time_step never causes the factor to be 0 or bigger than 1.

it would be interesting to have some comparison tables or curves of both methods. at a first glance i can't really imagine what the pow solution does. it seems to be wrong to me.

edit:

simply multiplying time_step:

i don't see any problem here? you could say "hey, the error is 200% after the time span" but both are very near to the target already and the difference shouldn't be noticable by anyone.



if i understand it correctly the pow method takes less steps with a higher framerate. it won't work at all.