More useful warp tool

It's a handy thing. But if I want to perform precise deformation, then I'm out of luck. I would choose the mouse a few grid cross-points and press "shift + arrow" so I can all these points move exactly ten pixels. I wish I had the opportunity to align them to the line itself. I would like to have the option to save a settings next time so I could reproduce deformation exactly.

Holding the Shift key and moving the mouse would point shifted in alignment. Holding Alt-key and click on the corner point to reset the "lever".

Everything would behave as when working with paths.