{
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  "Package": "permutations",
  "Type": "Package",
  "Title": "The Symmetric Group: Permutations of a Finite Set",
  "Version": "1.1-9",
  "Authors@R": "c(\nperson(given=c(\"Robin\", \"K. S.\"), family=\"Hankin\", role = c(\"aut\",\"cre\"), email=\"hankin.robin@gmail.com\", comment = c(ORCID = \"0000-0001-5982-0415\")),\nperson(\"Paul\", \"Egeler\", email = \"paulegeler@gmail.com\", role = c(\"ctb\"), comment = c(ORCID = \"0000-0001-6948-9498\"))\n)",
  "Maintainer": "Robin K. S. Hankin <hankin.robin@gmail.com>",
  "LazyData": "TRUE",
  "Description": "Manipulates invertible functions from a finite set to\nitself.  Can transform from word form to cycle form and back.\nTo cite the package in publications please use Hankin (2020)\n\"Introducing the permutations R package\", SoftwareX, volume 11\n<doi:10.1016/j.softx.2020.100453>.",
  "License": "GPL-2",
  "VignetteBuilder": "knitr",
  "URL": "https://github.com/RobinHankin/permutations,\nhttps://robinhankin.github.io/permutations/",
  "BugReports": "https://github.com/RobinHankin/permutations/issues",
  "Config/testthat/edition": "3",
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  "Repository": "https://robinhankin.r-universe.dev",
  "Date/Publication": "2026-04-07 14:19:26 UTC",
  "RemoteUrl": "https://github.com/robinhankin/permutations",
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    "User": "root"
  },
  "Author": "Robin K. S. Hankin [aut, cre] (ORCID:\n<https://orcid.org/0000-0001-5982-0415>),\nPaul Egeler [ctb] (ORCID: <https://orcid.org/0000-0001-6948-9498>)",
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  "_created": "2026-05-07T09:30:08.000Z",
  "_published": "2026-05-22T14:42:16.577Z",
  "_distro": "noble",
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    "author": "RobinHankin <hankin.robin@gmail.com>",
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    "message": "fixes #68\n",
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    "name": "Robin Hankin",
    "description": "pushing the boundaries of R in non-statistical contexts"
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    "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/permutations"
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  "_assets": [
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    "extra/citation.html",
    "extra/citation.json",
    "extra/citation.txt",
    "extra/contents.json",
    "extra/NEWS.html",
    "extra/NEWS.txt",
    "extra/permutations.html",
    "extra/readme.html",
    "extra/readme.md",
    "manual.pdf"
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  "_homeurl": "https://github.com/robinhankin/permutations",
  "_realowner": "robinhankin",
  "_cranurl": true,
  "_releases": [
    {
      "version": "1.0-0",
      "date": "2016-01-20"
    },
    {
      "version": "1.0-2",
      "date": "2017-01-25"
    },
    {
      "version": "1.0-4",
      "date": "2019-04-11"
    },
    {
      "version": "1.0-5",
      "date": "2019-10-17"
    },
    {
      "version": "1.0-6",
      "date": "2020-02-07"
    },
    {
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      "date": "2020-11-12"
    },
    {
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      "date": "2023-02-22"
    },
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      "date": "2024-07-17"
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    {
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      "date": "2025-02-11"
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  "_exports": [
    "%~%",
    "addcols",
    "all_cyclic_shuffles",
    "all_perms_shape",
    "allcyc",
    "allcycn",
    "allperms",
    "allpermslike",
    "are_conjugate",
    "are_conjugate_single",
    "as.character_cyclist",
    "as.cycle",
    "as.function",
    "as.function.permutation",
    "as.word",
    "capply",
    "caydist",
    "cayley",
    "ccps",
    "char2cycle",
    "char2cyclist_single",
    "commutator",
    "conjugation",
    "cyc_len",
    "cycle",
    "cycle_plus_integer_elementwise",
    "cycle_power",
    "cycle_power_single",
    "cycle_sum",
    "cycle_sum_single",
    "cycle2word",
    "cyclist_valid",
    "cyclist2word_single",
    "doesnotmove",
    "faro",
    "faro_gen",
    "fbin",
    "fbin_inv",
    "fbin_single",
    "fixed",
    "get_cyc",
    "get1",
    "helper",
    "id",
    "inverse",
    "inverse_cyclist_single",
    "inverse_word_single",
    "is.cycle",
    "is.derangement",
    "is.even",
    "is.flip",
    "is.flip_pair",
    "is.id",
    "is.id_single_cycle",
    "is.odd",
    "is.perm_matrix",
    "is.permutation",
    "is.superflip",
    "is.word",
    "keepcyc",
    "megaminx_plotter",
    "ncyc",
    "nfixed",
    "nicify_cyclist",
    "nmoved",
    "nullcycle",
    "nullword",
    "orbit",
    "orbit_single",
    "outer",
    "padshape",
    "perm_matrix",
    "permorder",
    "permprod",
    "permutation",
    "pm_to_perm",
    "print_cycle",
    "print_word",
    "print.cycle",
    "r1cyc",
    "rcyc",
    "remove_length_one",
    "rgivenshape",
    "rgs1",
    "rperm",
    "rpermm",
    "sgn",
    "shape",
    "shape_cyclist",
    "shapepart",
    "shapepart_cyclist",
    "singleword_valid",
    "size",
    "size<-",
    "some_perms_shape",
    "stabilizer",
    "stabilizes",
    "standard",
    "standard_cyclist",
    "sum1",
    "swap",
    "tidy",
    "trim",
    "vec2cyclist_single",
    "vec2cyclist_single_cpp",
    "vps",
    "word",
    "word_equal",
    "word_prod",
    "word_prod_single"
  ],
  "_datasets": [
    {
      "name": ".",
      "title": "Group-theoretic commutator: the dot object",
      "object": "dot",
      "class": [
        "dot"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    },
    {
      "name": "DB",
      "title": "megaminx",
      "object": "megaminx",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "DG",
      "title": "megaminx",
      "object": "megaminx",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "dodecahedron_edge",
      "title": "The dodecahedron group",
      "object": "dodecahedron",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    },
    {
      "name": "dodecahedron_face",
      "title": "The dodecahedron group",
      "object": "dodecahedron",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    },
    {
      "name": "DY",
      "title": "megaminx",
      "object": "megaminx",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "edge_facets",
      "title": "The Megaminx Superflip",
      "object": "megaminx",
      "class": [
        "matrix",
        "array"
      ],
      "fields": [
        "V1",
        "V2"
      ],
      "rows": 30,
      "table": true,
      "tojson": true
    },
    {
      "name": "full_dodecahedron_edge",
      "title": "The dodecahedron group",
      "object": "dodecahedron",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    },
    {
      "name": "full_dodecahedron_face",
      "title": "The dodecahedron group",
      "object": "dodecahedron",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    },
    {
      "name": "Gy",
      "title": "megaminx",
      "object": "megaminx",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "LB",
      "title": "megaminx",
      "object": "megaminx",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "LG",
      "title": "megaminx",
      "object": "megaminx",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "LY",
      "title": "megaminx",
      "object": "megaminx",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "megaminx",
      "title": "megaminx",
      "object": "megaminx",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "megaminx_colours",
      "title": "megaminx",
      "object": "megaminx",
      "class": [
        "noquote"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    },
    {
      "name": "O",
      "title": "megaminx",
      "object": "megaminx",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "Pi",
      "title": "megaminx",
      "object": "megaminx",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "Pu",
      "title": "megaminx",
      "object": "megaminx",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "R",
      "title": "megaminx",
      "object": "megaminx",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    },
    {
      "name": "superflip",
      "title": "The Megaminx Superflip",
      "object": "megaminx",
      "class": [
        "permutation",
        "word"
      ],
      "fields": {},
      "rows": 1,
      "table": false,
      "tojson": false
    },
    {
      "name": "W",
      "title": "megaminx",
      "object": "megaminx",
      "class": [
        "permutation",
        "cycle"
      ],
      "fields": [],
      "table": true,
      "tojson": false
    }
  ],
  "_help": [
    {
      "page": "permutations-package",
      "title": "The Symmetric Group: Permutations of a Finite Set",
      "topics": [
        "permutations-package",
        "permutations"
      ]
    },
    {
      "page": "allperms",
      "title": "All permutations with given characteristics",
      "topics": [
        "allcyc",
        "allcycles",
        "allcycn",
        "allperms",
        "allpermslike",
        "all_cyclic_shuffles",
        "all_perms_shape",
        "some_perms_shape"
      ]
    },
    {
      "page": "as.function.permutation",
      "title": "Coerce a permutation to a function",
      "topics": [
        "as.function",
        "as.function.cycle",
        "as.function.permutation",
        "as.function.word"
      ]
    },
    {
      "page": "c",
      "title": "Concatenation of permutations",
      "topics": [
        "c",
        "c.cycle",
        "c.word",
        "rep.permutation"
      ]
    },
    {
      "page": "capply",
      "title": "Apply functions to elements of a cycle",
      "topics": [
        "capply"
      ]
    },
    {
      "page": "caydist",
      "title": "Cayley distance",
      "topics": [
        "caydist",
        "ncyc",
        "nfixed",
        "nmoved"
      ]
    },
    {
      "page": "cayley",
      "title": "Cayley tables for permutation groups",
      "topics": [
        "Cayley",
        "cayley"
      ]
    },
    {
      "page": "commutator",
      "title": "Group-theoretic commutator: the dot object",
      "topics": [
        ".",
        "commutator",
        "dot",
        "dot-class",
        "dot_error",
        "extract",
        "jacobi",
        "permutation-class",
        "[,dot,ANY,ANY-method",
        "[,dot,ANY,missing-method",
        "[,dot,matrix,matrix-method",
        "[,dot,missing,ANY-method",
        "[,dot,missing,missing-method",
        "[,dot,permutation,permutation,ANY-method",
        "[,dot,permutation,permutation-method",
        "[,dot-method",
        "[.dot"
      ]
    },
    {
      "page": "conjugate",
      "title": "Are two permutations conjugate?",
      "topics": [
        "%~%",
        "%~%.permutation",
        "are_conjugate",
        "are_conjugate_single",
        "conjugate"
      ]
    },
    {
      "page": "cyclist",
      "title": "details of cyclists",
      "topics": [
        "char2cyclist_single",
        "cyclist",
        "cyclist2word_single",
        "nicify",
        "nicify_cyclist",
        "remove_length_one",
        "vec2cyclist_single",
        "vec2cyclist_single_cpp"
      ]
    },
    {
      "page": "derangement",
      "title": "Tests for a permutation being a derangement",
      "topics": [
        "derangement",
        "is.derangement"
      ]
    },
    {
      "page": "dodecahedron",
      "title": "The dodecahedron group",
      "topics": [
        "dodecahedron",
        "dodecahedron_edge",
        "dodecahedron_face",
        "full_dodecahedron_edge",
        "full_dodecahedron_face"
      ]
    },
    {
      "page": "Extract",
      "title": "Extract or Replace elements of permutation vectors",
      "topics": [
        "Extract",
        "Replace",
        "[.cycle",
        "[.permutation",
        "[.word",
        "[<-",
        "[<-.cycle",
        "[<-.permutation",
        "[<-.word"
      ]
    },
    {
      "page": "faro",
      "title": "Faro shuffles",
      "topics": [
        "faro",
        "faro_gen",
        "riffle",
        "shuffle"
      ]
    },
    {
      "page": "fbin",
      "title": "The fundamental bijection",
      "topics": [
        "fbin",
        "fbin_inv",
        "fbin_single",
        "standard",
        "standard_cyclist"
      ]
    },
    {
      "page": "fixed",
      "title": "Fixed elements",
      "topics": [
        "fixed",
        "fixed.cycle",
        "fixed.word"
      ]
    },
    {
      "page": "get1",
      "title": "Retrieve particular cycles or components of cycles",
      "topics": [
        "get1",
        "get_cyc"
      ]
    },
    {
      "page": "id",
      "title": "The identity permutation",
      "topics": [
        "id",
        "is.id",
        "is.id.cycle",
        "is.id.list",
        "is.id.word",
        "is.id_single_cycle"
      ]
    },
    {
      "page": "inverse",
      "title": "Inverse of a permutation",
      "topics": [
        "inverse",
        "inverse.cycle",
        "inverse.word",
        "inverse_cyclist_single",
        "inverse_word_single"
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    },
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      "page": "keepcyc",
      "title": "Keep or discard some cycles of a permutation",
      "topics": [
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      "page": "length",
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      "topics": [
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        "names<-.word"
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      "page": "megaminx",
      "title": "megaminx",
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    },
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      "page": "megaminx_plotter",
      "title": "Plotting routine for megaminx sequences",
      "topics": [
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      ]
    },
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      "page": "megaminx_superflip",
      "title": "The Megaminx Superflip",
      "topics": [
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      "page": "nullperm",
      "title": "Null permutations",
      "topics": [
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    {
      "page": "Ops.permutation",
      "title": "Arithmetic Ops Group Methods for permutations",
      "topics": [
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      "page": "orbit",
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      "topics": [
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      "page": "outer",
      "title": "Outer product of vectors of permutations",
      "topics": [
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        "outer.cycle",
        "outer.permutation",
        "outer.word"
      ]
    },
    {
      "page": "perm_matrix",
      "title": "Permutation matrices",
      "topics": [
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        "is.perm_matrix",
        "permmatrix",
        "permutation_matrix",
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        "pm_to_perm"
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    },
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      "page": "permorder",
      "title": "The order of a permutation",
      "topics": [
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    },
    {
      "page": "permutation",
      "title": "Functions to create and coerce word objects and cycle objects",
      "topics": [
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      "page": "print",
      "title": "Print methods for permutation objects",
      "topics": [
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        "as.character_cyclist",
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      "page": "rperm",
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      "topics": [
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        "rgivenshape",
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        "rperm",
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        "rword"
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      "page": "sgn",
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        "is.odd",
        "sgn"
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    },
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      "page": "shape",
      "title": "Shape of a permutation",
      "topics": [
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        "shapepart",
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        "shape_cyclist"
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      "page": "size",
      "title": "Gets or sets the size of a permutation",
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        "size<-.word"
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      "page": "stabilizer",
      "title": "Stabilizer of a permutation",
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      "page": "swap",
      "title": "Length-2 cycles; swap a pair of elements",
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      "page": "tidy",
      "title": "Utilities to neaten permutation objects",
      "topics": [
        "tidy",
        "trim"
      ]
    },
    {
      "page": "valid",
      "title": "Functions to validate permutations",
      "topics": [
        "cyclist_valid",
        "singleword_valid",
        "valid",
        "validity"
      ]
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  "_universes": [
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