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The Grove Thumb Joystick is a Grove compatible module that is very similar to the 'analog' joystick on popular console controllers. Two direction movements will output different analog signals as they are actually two potentiometers. The resistor is ~10k for each.
The joystick also has a push-button that can be used for special applications. When the module is in working mode, it outputs two analog values representing two directions. The value is restricted in a smaller range (e.g 200~700) compared to the normal joystick that is around 1023 when the button is pushed, so that the MCU can detect the action of pressing.