{ "_id": "6a0f68edacfb0bcc41c5dc75", "Package": "onion", "Version": "1.5-4", "Title": "Octonions and Quaternions", "LazyData": "TRUE", "Authors@R": "person(given=c(\"Robin\", \"K. S.\"), family=\"Hankin\", role = c(\"aut\",\"cre\"), email=\"hankin.robin@gmail.com\", comment = c(ORCID = \"0000-0001-5982-0415\"))", "Description": "Quaternions and Octonions are four- and eight- dimensional\nextensions of the complex numbers. They are normed division\nalgebras over the real numbers and find applications in spatial\nrotations (quaternions), and string theory and relativity\n(octonions). The quaternions are noncommutative and the\noctonions nonassociative. See the package vignette for more\ndetails.", "Maintainer": "Robin K. S. Hankin ", "License": "GPL-2", "VignetteBuilder": "knitr", "URL": "https://github.com/RobinHankin/onion", "BugReports": "https://github.com/RobinHankin/onion/issues", "Config/pak/sysreqs": "libgmp3-dev", "Repository": "https://robinhankin.r-universe.dev", "Date/Publication": "2026-03-22 10:48:51 UTC", "RemoteUrl": "https://github.com/robinhankin/onion", "RemoteRef": "HEAD", "RemoteSha": "279b405b4f1e812b52a317e46dd706c4c7580719", "NeedsCompilation": "yes", "Packaged": { "Date": "2026-05-21 09:05:19 UTC", "User": "root" }, "Author": "Robin K. S. 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"Hk", "O0", "O1", "Oall", "Oi", "Oil", "Oim", "Oj", "Ojl", "Ok", "Okl", "Ol" ] }, { "page": "onion", "title": "Basic onion functions", "topics": [ "as.matrix", "as.matrix,onion-method", "as.numeric,onion-method", "as.octonion", "as.onion", "as.quaternion", "is.octonion", "is.onion", "is.quaternion", "Octonion", "octonion", "octonion_to_quaternion", "onion", "Quaternion", "quaternion", "quaternion_to_octonion", "type" ] }, { "page": "onion-class", "title": "Class \"onion\"", "topics": [ "index-class", "octonion-class", "onion-class", "onionmat-class", "quaternion-class" ] }, { "page": "onionmat", "title": "Onionic matrices", "topics": [ "%*%", "%*%,numeric,onion-method", "%*%,numeric,onionmat-method", "%*%,onion,onionmat-method", "%*%,onionmat,numeric-method", "%*%,onionmat,onion-method", "%*%,onionmat,onionmat-method", "+,onion,missing-method", "+,onionmat,missing-method", "-,onion,missing-method", "-,onionmat,missing-method", "as.octonionmat", "as.onionmat", "as.quaternionmat", 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"tcprod,ANY,ANY-method", "tcprod,ANY,missing-method", "tcprod,ANY,onionmat-method", "tcprod,onion,missing-method", "tcprod,onion,onion-method", "tcprod,onion,onionmat-method", "tcprod,onionmat,ANY-method", "tcprod,onionmat,missing-method", "tcprod,onionmat,onion-method", "tcprod,onionmat,onionmat-method", "[.onionmat", "[<-.onionmat" ] }, { "page": "orthogonal", "title": "Orthogonal matrix equivalents", "topics": [ "as.orthogonal", "is_orthogonal", "matrix2quaternion", "orthogonal" ] }, { "page": "p3d", "title": "Three dimensional plotting", "topics": [ "p3d" ] }, { "page": "plot", "title": "Plot onions", "topics": [ "plot", "plot,onion-method", "plot.onion" ] }, { "page": "prods", "title": "Various products of two onions", "topics": [ "%.%", "%<*>%", "%<*>%.onion", "%<.>%", "%<.>%.onion", "%>*<%", "%>*<%.onion", "%>.<%", "%>.<%.onion", "dotprod", "e_even.onion", "e_odd.onion", "g_even.onion", "g_odd.onion", "onion_e_even", "onion_e_odd", "onion_g_even", "onion_g_odd", "prods" ] }, { "page": "rep", "title": "Replicate elements of onionic vectors", "topics": [ "rep", "rep,onion-method", "rep.onion" ] }, { "page": "roct", "title": "Random onionic vectors", "topics": [ "roct", "romat", "ronionmat", "rquat", "rsoct", "rsomat", "rsquat" ] }, { "page": "rotate", "title": "Rotates 3D vectors using quaternions", "topics": [ "rotate" ] }, { "page": "Round", "title": "Rounding of onions", "topics": [ "round", "round,onion-method", "round,onionmat-method" ] }, { "page": "seq", "title": "seq method for onions", "topics": [ "seq", "seq,onion-method", "seq.onion", "seq_onion", "SLERP", "slerp" ] }, { "page": "show", "title": "Print method for onions", "topics": [ "comp_names", "onionmat_show", "onion_show", "onion_to_string", "onion_to_string_lowlevel", "print", "print,onion-method", "print.octonion", "print.onion", "print.onionmat", "print.quaternion", "show", "show,onion-method" ] }, { "page": "Summary", "title": "Various summary statistics for onions", "topics": [ "max", 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