Does this game have controller support? I plugged my xbox one controller in...and nothing. Am I just dumb?

Just use Joy2key.

the game already has the dosbox mapper set up so you can use your controller in the game from the get go no need to use something like joy2key

(or at least that was the case when i installed it)

I tried to play it with my ps4 controller and it just randomly jumps.
I can't predict when it jumps. Sometimes it works with the buttons sometimes not.
Changing the settings in the conf. file doesn't help.
Any idea?

Xbox One controller works without any configuration.

I tried it, and it is suppoused to recognize the XBox360 controllers, it works fine, but it has a mistake.

A is Jump

But "Down" in the analog joystick is Down + A (Down + Jump).

It must be a problem with the mapper


EDIT: Ok, the problem is to have connected a XBox360 controller and a PS3 controller at the same time... if I have only connected the XBox360 controller before starting the game, it seems to work fine

How I should configure gog or controller? Xbox One controller doesn't work in this game in my situation.

I didn't do any configuration, absolutely nothing. Unless the game has been updated it should work (check the changelog).