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multicool  

Permutations of Multisets in Cool-Lex Order
View on CRAN: Click here


Download and install multicool package within the R console
Install from CRAN:
install.packages("multicool")

Install from Github:
library("remotes")
install_github("cran/multicool")

Install by package version:
library("remotes")
install_version("multicool", "1.0.1")



Attach the package and use:
library("multicool")
Maintained by
James Curran
[Scholar Profile | Author Map]
All associated links for this package
First Published: 2011-11-15
Latest Update: 2024-02-05
Description:
A set of tools to permute multisets without loops or hash tables and to generate integer partitions. The permutation functions are based on C code from Aaron Williams. Cool-lex order is similar to colexicographical order. The algorithm is described in Williams, A. Loopless Generation of Multiset Permutations by Prefix Shifts. SODA 2009, Symposium on Discrete Algorithms, New York, United States. The permutation code is distributed without restrictions. The code for stable and efficient computation of multinomial coefficients comes from Dave Barber. The code can be download from and is distributed without conditions. The package also generates the integer partitions of a positive, non-zero integer n. The C++ code for this is based on Python code from Jerome Kelleher which can be found here . The C++ code and Python code are distributed without conditions.
How to cite:
James Curran (2011). multicool: Permutations of Multisets in Cool-Lex Order. R package version 1.0.1, https://cran.r-project.org/web/packages/multicool. Accessed 01 Sep. 2026.
Previous versions and publish date:
(2026-07-09 06:33), 0.1-1 (2011-11-15 07:49), 0.1-2 (2013-07-10 07:33), 0.1-5 (2015-02-26 07:21), 0.1-6 (2015-04-28 09:03), 0.1-7 (2015-08-17 07:53), 0.1-8 (2015-10-22 08:24), 0.1-9 (2015-10-28 18:39), 0.1-10 (2016-11-25 23:05), 0.1-11 (2019-12-05 09:00), 0.1-12 (2021-06-29 06:50), 1.0.0 (2023-12-02 12:00)
Other packages that cited multicool R package
View multicool citation profile
Other R packages that multicool depends, imports, suggests or enhances
Complete documentation for multicool
Functions, R codes and Examples using the multicool R package
Some associated functions: Bell . Stirling2 . allPerm . genComp . initMC . multinom . nextPerm . 
Some associated R codes: RcppExports.R . Stirling2.R . allPerm.R . genComp.R . multinom.R . nextPerm.R . zzz.R .  Full multicool package functions and examples
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