I have translated the Haskell code for vector partitions by M. C. Err, The Computer Journal, Vol. 31, 1988, 283-284, into Python (2 or 3, stand-alone file with 60 lines total).
The code works significantly faster than the Sage implementation: ┌────────────────────────────────────────────────────────────────────┐ │ SageMath version 9.0, Release Date: 2020-01-01 │ │ Using Python 3.7.3. Type "help()" for help. │ └────────────────────────────────────────────────────────────────────┘ sage: import vpartitions sage: %time myvparts=vpartitions.vPartitionso([6,6,6]) CPU times: user 9.13 s, sys: 89.8 ms, total: 9.22 s Wall time: 9.22 s sage: %time sagevparts=list(VectorPartitions([6,6,6])) CPU times: user 2min 10s, sys: 177 ms, total: 2min 10s Wall time: 2min 10s sage: myvparts[::-1]==sagevparts True If someone would take over the job of contributing this code to Sage, I would be glad to help. There are a few caveats: 1) the code is recursive; 2) there is no "min" option like in the Sage implementation. I do not know how difficult (or necessary) it would be to address these points. Of course, anyone can take it up straight from Err's paper instead, I won't be jealous:) Cheers, Denis -- You received this message because you are subscribed to the Google Groups "sage-combinat-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-combinat-devel+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-combinat-devel/5997b88f-50fb-4bc3-a5a7-b6accfa9e190%40googlegroups.com.
