Type: Package
Package: cyclotomic
Title: The Field of Cyclotomic Numbers
Version: 1.3.0
Authors@R: c(
    person("Stéphane", "Laurent", , "laurent_step@outlook.fr", role = c("aut", "cre")),
    person("Scott N.", "Walck", role = "cph",
           comment = "author of the Haskell library 'cyclotomic'")
  )
Maintainer: Stéphane Laurent <laurent_step@outlook.fr>
Description: The cyclotomic numbers are complex numbers that can be
        thought of as the rational numbers extended with the roots of
        unity. They are represented exactly, enabling exact
        computations. They contain the Gaussian rationals (complex
        numbers with rational real and imaginary parts) as well as the
        square roots of all rational numbers. They also contain the
        sine and cosine of all rational multiples of pi. The algorithms
        implemented in this package are taken from the 'Haskell'
        package 'cyclotomic', whose algorithms are adapted from code by
        Martin Schoenert and Thomas Breuer in the 'GAP' project
        (<https://www.gap-system.org/>). Cyclotomic numbers have
        applications in number theory, algebraic geometry, algebraic
        number theory, coding theory, and in the theory of graphs and
        combinatorics. They have connections to the theory of modular
        functions and modular curves.
License: GPL-3
URL: https://github.com/stla/cyclotomic
BugReports: https://github.com/stla/cyclotomic/issues
Imports: intmap, gmp, maybe, memoise, methods, numbers,
        VeryLargeIntegers
Encoding: UTF-8
RoxygenNote: 7.2.3
Collate: 'Cyclotomic.R' 'arithmetic.R' 'conjugate.R' 'imports.R' 'is.R'
        'maputils.R' 'mkCyclotomic.R' 'polar.R' 'rational.R'
        'showCyclotomic.R' 'sqrt.R' 'trigonometry.R' 'zzz.R'
Suggests: testthat (>= 3.0.0)
Config/testthat/edition: 3
Config/pak/sysreqs: libgmp3-dev
Repository: https://stla.r-universe.dev
Date/Publication: 2023-11-02 18:25:59 UTC
RemoteUrl: https://github.com/stla/cyclotomic
RemoteRef: HEAD
RemoteSha: 66c1ec23520cd0b9742c41cd7055e7fa722ab9c7
NeedsCompilation: no
Packaged: 2026-06-21 07:35:00 UTC; root
Author: Stéphane Laurent [aut, cre],
  Scott N. Walck [cph] (author of the Haskell library 'cyclotomic')