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This is a julia port of the sage VectorPartitions function originally written by Amritanshu Prasad (2013).
A vector partition of "vec" is a list of vectors with non-negative integer entries whose sum is "vec". The method vector_partitions creates all vector partitions of "vector" with all parts greater than or equal to "min" in lexicographic order recursively.
INPUT:
- "vec" -- a list of non-negative integers.
EXAMPLES:
If "min" is not specified, then the class of all vector partitions of
"vec" is created::
julia> vector_partitions([2, 2])
9-element Array{Any,1}:
Array{Int64,1}[[1,0],[1,0],[0,1],[0,1]]
Array{Int64,1}[[2,0],[0,1],[0,1]]
Array{Int64,1}[[1,1],[1,0],[0,1]]
Array{Int64,1}[[2,1],[0,1]]
Array{Int64,1}[[1,0],[1,0],[0,2]]
Array{Int64,1}[[2,0],[0,2]]
Array{Int64,1}[[1,2],[1,0]]
Array{Int64,1}[[1,1],[1,1]]
Array{Int64,1}[[2,2]]
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natemcintosh
reviewed
Jan 1, 2023
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| function vector_partitions(vector::Vector{Int64},min=zeros(Integer,length(vector))) | ||
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| # Creates all vector partitions of "vector" with all parts greater than |
Contributor
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Maybe this (and the similar comments in functions below) could be moved above the function as a doc string?
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Hey everybody,
I implemented this functionality for computing vector partitions years ago and submitted a pull request which grew stale. I recently got back to this and in the hope that perhapas someone might find this useful I have cleaned up the code and added some tests. I would be happy to receive any kind of feedback.
Cheers