Hi Tom.
nope, as I said up until the quite late 90's the 3D thumb stick controllers
didn't exist and all input was either on or off, meaning analogue movement
was handled entirely by the game itself.
Older arcade sticks (and indeed sticks like my X arcade one), basically
work the same way as joypads with several small metal switches in the base
around the stick, so pressing the stick in one direction presses the switch.
This is why the vast majority of 16 bit era games were equally playable on a
stick or a joypad, or indeed on a keyboard for that matter.
Regarding the correct formulae, over movement speed, key presses and
movement, perhaps this would be an occasion where communicating with
programmers of graphical games would help.
There are after all lots of people on places like retroremakes who freely
program old style games from scratch. While obviously a lot of what is done
graphically even in old style games won't be relevant, some ideas of
relative speeds for movement would likely be just the same particularly if
you really wanted to replicate similar mechanics to mainstream games.
Obviously it'd need tweaking depending upon the game, but just some basic
ideas might be a handy starting point to begin tinkering.
Beware the grue!
Dark.
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