arrangements: partitions – R documentation

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partitions

Partitions generator

Description

This function partitions an non-negative interger n into k parts or parts of any sizes. The results are in lexicographical or reversed lexicographical order.

Usage

partitions(n, k = NULL, distinct = FALSE, descending = FALSE,
  layout = NULL, nitem = -1L, skip = NULL, index = NULL,
  nsample = NULL, drop = NULL)

Arguments

`n`	an non-negative integer to be partitioned
`k`	number of parts
`distinct`	an logical to restrict distinct values
`descending`	an logical to use reversed lexicographical order
`layout`	if "row", "column" or "list" is specified, the returned value would be a "row-major" matrix, a "column-major" matrix or a list respectively
`nitem`	number of partitions required, usually used with `skip`
`skip`	the number of partitions skipped
`index`	a vector of indices of the desired partitions
`nsample`	sampling random partitions
`drop`	vectorize a matrix or unlist a list

Examples

# all partitions of 6
partitions(6)
# reversed lexicographical order
partitions(6, descending = TRUE)

# fixed number of parts
partitions(10, 5)
# reversed lexicographical order
partitions(10, 5, descending = TRUE)

# column major
partitions(6, layout = "column")
partitions(6, 3, layout = "column")

# list output
partitions(6, layout = "list")
partitions(6, 3, layout = "list")

# zero sized partitions
dim(partitions(0))
dim(partitions(5, 0))
dim(partitions(5, 6))
dim(partitions(0, 0))
dim(partitions(0, 1))

arrangements

Fast Generators and Iterators for Permutations, Combinations, Integer Partitions and Compositions

v1.1.9

MIT + file LICENSE

Authors

Randy Lai [aut, cre]

Initial release

2020-09-12