snowmanam2
commented
10 months ago I did some testing on my FX-8350 (mostly "y" revision, but the "z" seems similar) and got the following timing results (with updated numbers from mine for comparison): N=12: 8s (9s) N=13: 58s (63s) N=14: 437s (546s)
Indeed it seems your methods are faster, and it seems the scaling is better as N increases. I also find it interesting this was possible while checking reflections at the same time. I do wonder how much of the speedup was due to improvement of the removal check versus other factors. I did notice revision "v" is 13.6s vs "p" at 23.29s (N=12), so perhaps that might indicate part of the speed difference - though I'm sure there's some other optimizations you're doing somewhere in there.
I'm not sure if I'm interpreting what you're doing correctly, but are you only propagating the "4D-rotation" unique polycubes and then checking for symmetry to back-calculate the "3D-rotation" unique polycubes? I could see why that would scale better to larger N values if that's the case, and I would expect it to be the main difference in speed. I was also thinking it might be interesting to do something similar with the "translation" unique polycubes, though I'm not sure how that could be done efficiently.
From what I can see, the big thing missing is the ability to read / write some sort of output file, or otherwise some way to feed a known set of starting polycubes to generate segments for distributed jobs. With that in place, I would expect N=19 or N=20 could be quite feasible.
pbj4
hidny
HakMe2Deth
It's possible to count the 3d rotation polycubes when generating the 4d rotation polycubes using the following relationship:
I have a repo that implements this idea, #11, #49, and a streaming articulation point algorithm. The performance seems competitive, but I would appreciate if someone else could benchmark it as well. For n = 12 my laptop takes 5.6s to run mine, 7s to run #49 with ./polycube_generator 12 -a, 11.2s to run #27, and 39.6s to run the current rust version with cargo run -r -- enumerate -m hashless 12 and a n = 11 cache file.