Package: partitions 1.11-1

partitions: Additive Partitions of Integers

Additive partitions of integers. Enumerates the partitions, unequal partitions, and restricted partitions of an integer; the three corresponding partition functions are also given. Set partitions and now compositions and riffle shuffles are included.

Authors:Robin K. S. Hankin [aut, cre], Paul Egeler [ctb]

# Install 'partitions' in R:

install.packages('partitions', repos = c('https://robinhankin.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/robinhankin/partitions/issues

Uses libs:

c++– GNU Standard C++ Library v3

On CRAN:

cpp

12.06 score 11 stars 81 packages 2.1k scripts 14k downloads 47 exports 5 dependencies

Last updated from:a7aaf47964. Checks:15 OK. Indexed: yes.

Target	Result	Time
linux-devel-arm64	OK	119
linux-devel-x86_64	OK	135
source / vignettes	OK	317
linux-release-arm64	OK	122
linux-release-x86_64	OK	134
macos-release-arm64	OK	75
macos-release-x86_64	OK	231
macos-oldrel-arm64	OK	108
macos-oldrel-x86_64	OK	188
windows-devel-arm64	OK	197
windows-devel-x86_64	OK	129
windows-release-arm64	OK	235
windows-release-x86_64	OK	138
windows-oldrel-x86_64	OK	74
wasm-release	OK	127

Exports:allbinom as.partition bintocomp blockparts compositions comptobin condense conjugate diffparts durfee durfee_sorted firstblockpart firstcomposition firstdiffpart firstpart firstrestrictedpart genrif islastblockpart islastcomposition islastdiffpart islastpart islastrestrictedpart listParts mset multinomial multiset nextblockpart nextcomposition nextdiffpart nextpart nextrestrictedpart P parts perms plainperms Q R restrictedparts restrictedsetparts restrictedsetparts2 riffle S setparts tobin todec vec_to_eq vec_to_set

Dependencies:gmp polynom rbibutils Rdpack sets

Set partitions in R

Introduction | Algorithms | Applications | Note: a gotcha | Conclusions

Rendered fromsetpartitions.Rnwusingutils::Sweave

Last update: 2026-09-23
Started: 2017-08-21

Additive Integer Partitions

Introduction | Package partitions in use | Conclusions

Rendered frompartitions.Rnwusingutils::Sweave

Last update: 2024-02-24
Started: 2024-02-24

Urn sampling without replacement

Introduction | Examples | Conclusions

Rendered fromscrabble.Rnwusingutils::Sweave

Last update: 2024-02-24
Started: 2017-08-21

Citation

Development and contributors

Readme and manuals

Help Manual

Help page	Topics
Integer partitions	partitions-package partitions
Coerce partitions to matrices and vice versa	as.matrix.partition as.partition
Sundry binary functionality	bin bintocomp comptobin tobin todec
Condensed form for partitions	condense
Conjugate partitions and Durfee squares	conjugate Durfee durfee durfee_sorted
Next partition	firstblockpart firstcomposition firstdiffpart firstpart firstrestrictedpart islastblockpart islastcomposition islastdiffpart islastpart islastrestrictedpart nextblockpart nextcomposition nextdiffpart nextpart nextrestrictedpart
Number of partitions of an integer	P Q R S
Enumerate the partitions of an integer	allbinom blockparts compositions c_allblockparts c_alldiffparts c_allparts c_allperms c_allrestrictedparts c_bintocomp c_comptobin c_conjugate c_durfee c_multiset c_nextblockpart c_nextdiffpart c_nextpart c_nextrestrictedpart c_numbdiffparts c_numbparts c_plainperms c_tobin c_wrap diffparts mset multinomial multiset numbrestrictedparts_R parts restrictedparts
Enumerate the permutations of a vector	perms plainperms
Print methods for partition objects and equivalence objects	print print.equivalence print.partition print.summary.partition
Riffle shuffles	allriffles genrif riffle
Set partitions	listParts restrictedsetparts restrictedsetparts2 setparts vec_to_eq vec_to_set
Provides a summary of a partition	summary.partition