clifford: Arbitrary Dimensional Clifford Algebras

A suite of routines for Clifford algebras, using the 'Map' class of the Standard Template Library. Canonical reference: Hestenes (1987, ISBN 90-277-1673-0, "Clifford algebra to geometric calculus"). Special cases including Lorentz transforms, quaternion multiplication, and Grassmann algebra, are discussed. Vignettes presenting conformal geometric algebra, quaternions and split quaternions, dual numbers, and Lorentz transforms are included. The package follows 'disordR' discipline.

Version: 1.1-0
Depends: R (≥ 4.1.0)
Imports: Rcpp (≥ 0.12.5), disordR (≥ 0.9-8-4), magrittr, methods, partitions (≥ 1.10-4), freealg (≥ 1.0-4)
LinkingTo: Rcpp, BH
Suggests: knitr, rmarkdown, testthat, onion (≥ 1.5-3), lorentz (≥ 1.1-1), emulator (≥ 1.2-24), jordan (≥ 1.0-5), permutations (≥ 1.1-5), covr, quadform
Published: 2025-05-01
DOI: 10.32614/CRAN.package.clifford
Author: Robin K. S. Hankin ORCID iD [aut, cre]
Maintainer: Robin K. S. Hankin <hankin.robin at gmail.com>
BugReports: https://github.com/RobinHankin/clifford/issues
License: GPL-2 | GPL-3 [expanded from: GPL (≥ 2)]
URL: https://github.com/RobinHankin/clifford, https://robinhankin.github.io/clifford/
NeedsCompilation: yes
Citation: clifford citation info
Materials: README NEWS
In views: NumericalMathematics
CRAN checks: clifford results

Documentation:

Reference manual: clifford.pdf
Vignettes: Complex arithmetic using Clifford algebra (source, R code)
Conformal geometry with Clifford algebra (source, R code)
Determinants using Clifford algebra (source, R code)
getcoeffs (source, R code)
Lorentz transforms via Clifford algebra (source, R code)
Pauli matrices via Clifford algebra (source, R code)
The pseudoscalar (source, R code)
Quaternionic arithmetic with Clifford algebra (source, R code)
signature (source, R code)
The clifford package (source, R code)

Downloads:

Package source: clifford_1.1-0.tar.gz
Windows binaries: r-devel: clifford_1.0-8.zip, r-release: clifford_1.1-0.zip, r-oldrel: clifford_1.1-0.zip
macOS binaries: r-release (arm64): clifford_1.1-0.tgz, r-oldrel (arm64): clifford_1.1-0.tgz, r-release (x86_64): clifford_1.1-0.tgz, r-oldrel (x86_64): clifford_1.1-0.tgz
Old sources: clifford archive

Linking:

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