I would like to use my computer keyboard (USB) as a Bluetooth keyboard for my iPad, while I am using it with my computer. I was hoping their was an "app for that" that I could run on either Mac or Windows. I imagine how it would work: It would have to emulate a Bluetooth keyboard, and be able to pair with the iPad. Then, when you give focus to this app, it transmits keystrokes from your built-in keyboard out over the Bluetooth connection. Seems simple, but I can't seem to find anything definitive on Google.

Has anybody done this? I figure this is cheaper that buying a Apple iPad Keyboard Dock or a Apple Wireless Keyboard from the Apple Store. Also, it's one less item on my desk, which gets cluttered enough with one keyboard.