Pipe wrap (wind) (bend) around cylinder - helix calculator

The title my required spelling corrections. Sorry, I am not native.
Imagine a pipe of inner diameter D1 outer diameter D2, so thickness (D2-D1)/2, length L. You want to bend (wrap, like a spring, coil - with each of the turn giving S -spacing between each "rounds") this pipe around solid cylinder of diameter R3. What is the relation between all these variables? Helix shape.
May thanks for providing the answer and such calculator.