Is there a tool to wrap a label around a cylinder?

Hello,

I’m wondering if Photoshop has a tool to wrap a label around a bottle. I’ve been using Free Transform and Warp, but there doesn’t seem to be a tool that properly distorts a flat label to fit a cylinder. As I do this the label shrinks linearly, where a label should be barely shrinking laterally in the front-most part of the bottle, but approaching infinite lateral shrinkage at the edges/side of the bottle.

I have broken the label into several vertical sections and made crude estimations on the required lateral shrinkage, but a tool designed for the job would be much better.

I do realize the tool would require an input for the width of the cylinder, (a one inch wide label on a three inch wide bottle would need little distortion, for example) but that should be easy to incorporate.

Thank you for your thoughts and help!

Dan