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