Yeah, they are inductors used for switching converters (and the one on the left is a real monster!). @thefreeman@lemmy.world is known for high efficiency drivers, so I wouldn't expect anything less.
The small one dubbed BST15 is a 15mm component clearance/17mm total diameter boost driver, rated for ~40W (6A~6.5V, 3A~13V), with HDR (low moonlight), it’s compatible with e-switch (Anduril) and Mike_C’s OTSM implementation for clicky switch, I made it (with his blessings) so that it is easier to build than his version and added reverse polarity protection , my first version had some issues at high current, at the time I didn't do too much troubleshooting and left it aside, recently I made an updated version, which is the one I just assembled and it works well. The next step is assembling a couple more to send to Mike so that he can finish his firmware, then I’ll share the PCB/BOM for people to assemble it themsleves.
The big one is also a boost driver, 1S input, I’ll post more detail once I have finished testing it, I did some partial efficiency test already but I don’t have a power source powerfull enough to test it at max current 😅.
It’s for a rather popular light so it shouldn't be too hard guess which.