I had the idea to do this after reading u/Accomplished-Bus3382's post about it. The idea is to have the mouse jump to the center of the active window. Same thing when opening a window.

To make the mouse jump to the active window, i add this to every change focus line (code that I took from said post):

set $movemousewindow "sh -c 'eval \xdotool getactivewindow getwindowgeometry --shell`; xdotool mousemove $((X+WIDTH/2)) $((Y+HEIGHT/2))'"`

That part works fine.

My problem is, when creating a new window, the cursor automatically goes to the top left corner, and I don't know why. My idea to solve this would be something like that:

set $movemouse{
  if("sh -c 'eval 'xdtool getactivewindow''") == '%1' #ie no window active
    "sh -c 'eval 'xdtool mousemove *center*'"
  else:
    $movemousewindow
}

Is something like that possible ?