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This is a Godot Script (GDScript) (http://www.godotengine.org/) port of the Robert Penner's equations for easing. You can find much more information about it on http://robertpenner.com/easing/.

Gamepad simulates an analog joystick input using the keyboard. Many times when we access key presses, what we are really doing is pretending that WASD, the arrow keys or some other combination are actually a D-pad or joystick with an X and Y axis, and 1 or 2 fire buttons. Gamepad handles the event capture, maths and other details of this for you, so you only have to think about how you want your game to respond to this input.