RcppAlgos: High Performance Tools for Combinatorics and Computational
Mathematics
Provides optimized functions and flexible iterators implemented in
C++ for solving problems in combinatorics and computational mathematics.
Handles various combinatorial objects including combinations, permutations,
integer partitions and compositions, Cartestion products, unordered
Cartesian products, and partition of groups. Utilizes the RMatrix class
from 'RcppParallel' for thread safety. The combination and permutation
functions contain constraint parameters that allow for generation of all
results of a vector meeting specific criteria (e.g. finding all
combinations such that the sum is between two bounds). Capable of
ranking/unranking combinatorial objects efficiently (e.g. retrieve only the
nth lexicographical result) which sets up nicely for parallelization as
well as random sampling. Gmp support permits exploration where the total
number of results is large (e.g. comboSample(10000, 500, n = 4)).
Additionally, there are several high performance number theoretic
functions that are useful for problems common in computational mathematics.
Some of these functions make use of the fast integer division library
'libdivide'. The primeSieve function is based on the segmented sieve of
Eratosthenes implementation by Kim Walisch. It is also efficient for large
numbers by using the cache friendly improvements originally developed by
Tomás Oliveira. Finally, there is a prime counting function that implements
Legendre's formula based on the work of Kim Walisch.
| Version: |
2.9.1 |
| Imports: |
gmp, methods |
| LinkingTo: |
cpp11 |
| Suggests: |
testthat, partitions, microbenchmark, knitr, RcppBigIntAlgos, rmarkdown |
| Published: |
2025-01-27 |
| DOI: |
10.32614/CRAN.package.RcppAlgos |
| Author: |
Joseph Wood [aut, cre] |
| Maintainer: |
Joseph Wood <jwood000 at gmail.com> |
| BugReports: |
https://github.com/jwood000/RcppAlgos/issues |
| License: |
GPL-2 | GPL-3 [expanded from: GPL (≥ 2)] |
| URL: |
https://github.com/jwood000/RcppAlgos, https://gmplib.org/,
https://github.com/kimwalisch/primesieve,
https://libdivide.com,
https://github.com/kimwalisch/primecount,
https://ridiculousfish.com/,
https://sweet.ua.pt/tos/software/prime_sieve.html |
| NeedsCompilation: |
yes |
| SystemRequirements: |
gmp (>= 4.2.3) |
| Materials: |
README NEWS |
| In views: |
NumericalMathematics |
| CRAN checks: |
RcppAlgos results [issues need fixing before 2025-02-11] |
Documentation:
Downloads:
Reverse dependencies:
| Reverse depends: |
SMAD |
| Reverse imports: |
BayesCPclust, ccpsyc, epinetr, IDSL.UFAx, janus, mvSUSY, Rtropical, STraTUS, surveyvoi, TML |
| Reverse suggests: |
mvMAPIT, RcppBigIntAlgos |
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