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RcppBigIntAlgos: Factor Big Integers with the Parallel Quadratic Sieve

Features the multiple polynomial quadratic sieve (MPQS) algorithm for factoring large integers and a vectorized factoring function that returns the complete factorization of an integer. The MPQS is based off of the seminal work of Carl Pomerance (1984) <doi:10.1007/3-540-39757-4_17> along with the modification of multiple polynomials introduced by Peter Montgomery and J. Davis as outlined by Robert D. Silverman (1987) <doi:10.1090/S0025-5718-1987-0866119-8>. Utilizes the C library GMP (GNU Multiple Precision Arithmetic). For smaller integers, a simple Elliptic Curve algorithm is attempted followed by a constrained version of Pollard's rho algorithm. The Pollard's rho algorithm is the same algorithm used by the factorize function in the 'gmp' package.

Version: 1.1.0
Imports: gmp
LinkingTo: cpp11
Suggests: testthat, numbers, RcppAlgos
Published: 2023-08-16
DOI: 10.32614/CRAN.package.RcppBigIntAlgos
Author: Joseph Wood [aut, cre], Free Software Foundation, Inc. [cph], Mike Tryczak [ctb]
Maintainer: Joseph Wood <jwood000 at gmail.com>
BugReports: https://github.com/jwood000/RcppBigIntAlgos/issues
License: GPL-2 | GPL-3 [expanded from: GPL (≥ 2)]
URL: https://github.com/jwood000/RcppBigIntAlgos, https://gmplib.org/, http://mathworld.wolfram.com/QuadraticSieve.html, https://micsymposium.org/mics_2011_proceedings/mics2011_submission_28.pdf, https://www.math.colostate.edu/~hulpke/lectures/m400c/quadsievex.pdf, https://blogs.msdn.microsoft.com/devdev/2006/06/19/factoring-large-numbers-with-quadratic-sieve/
NeedsCompilation: yes
SystemRequirements: gmp (>= 4.2.3)
Materials: README NEWS
In views: NumericalMathematics
CRAN checks: RcppBigIntAlgos results

Documentation:

Reference manual: RcppBigIntAlgos.pdf

Downloads:

Package source: RcppBigIntAlgos_1.1.0.tar.gz
Windows binaries: r-devel: RcppBigIntAlgos_1.1.0.zip, r-release: RcppBigIntAlgos_1.1.0.zip, r-oldrel: RcppBigIntAlgos_1.1.0.zip
macOS binaries: r-release (arm64): RcppBigIntAlgos_1.1.0.tgz, r-oldrel (arm64): RcppBigIntAlgos_1.1.0.tgz, r-release (x86_64): RcppBigIntAlgos_1.1.0.tgz, r-oldrel (x86_64): RcppBigIntAlgos_1.1.0.tgz
Old sources: RcppBigIntAlgos archive

Reverse dependencies:

Reverse suggests: RcppAlgos

Linking:

Please use the canonical form https://CRAN.R-project.org/package=RcppBigIntAlgos to link to this page.

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.