A similar function operating on the real domain for powers and logs of 2 would be extremely hardware friendly. You can build it directly out of the floating poi

A similar function operating on the real domain for powers and logs of 2 would be extremely hardware friendly. You can build it directly out of the floating point format. First K significand bits index a LUT. Do that for each argument and subtract them. It gets a bit more difficult for the complex domain because you need rotation.