RcppAlgos: High Performance Tools for Combinatorics and Computational Mathematics

Provides optimized functions implemented in C++ with 'Rcpp' for solving problems in combinatorics and computational mathematics. There are combination/permutation functions that are both flexible as well as efficient with respect to speed and memory. Constraint parameters allow for generation of all combinations/permutations of a vector meeting specific criteria (e.g. finding all combinations such that the sum is less than a bound). Capable of generating specific combinations/permutations (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 highly efficient 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' by <http://ridiculousfish.com>. The primeSieve function is based on the segmented sieve of Eratosthenes implementation by Kim Walisch. It is capable of generating all primes less than a billion in just over 1 second. It can also quickly generate prime numbers over a range (e.g. primeSieve(10^13, 10^13+10^9)). Finally, there is a prime counting function that implements a simple variations of Legendre's formula based on the algorithm by Kim Walisch.

Version: 2.2.0
Imports: gmp, Rcpp (≥ 0.12.8)
LinkingTo: Rcpp
Suggests: testthat, numbers (≥ 0.6-6), bigIntegerAlgos, microbenchmark
Published: 2018-09-14
Author: Joseph Wood
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/, http://primesieve.org/, https://github.com/kimwalisch/primesieve, https://github.com/kimwalisch/primecount, http://libdivide.com/
NeedsCompilation: yes
SystemRequirements: gmp (>= 4.2.3)
Materials: README NEWS
In views: NumericalMathematics
CRAN checks: RcppAlgos results

Downloads:

Reference manual: RcppAlgos.pdf
Package source: RcppAlgos_2.2.0.tar.gz
Windows binaries: r-devel: RcppAlgos_2.2.0.zip, r-release: RcppAlgos_2.2.0.zip, r-oldrel: RcppAlgos_2.2.0.zip
OS X binaries: r-release: RcppAlgos_2.2.0.tgz, r-oldrel: RcppAlgos_2.2.0.tgz
Old sources: RcppAlgos archive

Reverse dependencies:

Reverse suggests: bigIntegerAlgos

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