{
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  "Version": "0.7-5.1",
  "Date": "2024-08-23",
  "Title": "Multiple Precision Arithmetic",
  "Authors@R": "c(person(\"Antoine\",\"Lucas\",role = c(\"aut\",\"cre\"),\nemail = \"antoinelucas@gmail.com\", comment = c(ORCID=\"0000-0002-8059-9767\")),\nperson(\"Immanuel\",\"Scholz\", role= \"aut\"),\nperson(\"Rainer\",\"Boehme\", role = \"ctb\", email= \"rb-gmp@reflex-studio.de\"),\nperson(\"Sylvain\",\"Jasson\", role = \"ctb\", email= \"Sylvain.Jasson@inrae.fr\"),\nperson(\"Martin\", \"Maechler\", role = \"ctb\", email=\"maechler@stat.math.ethz.ch\"))",
  "Maintainer": "Antoine Lucas <antoinelucas@gmail.com>",
  "Description": "Multiple Precision Arithmetic (big integers and rationals,\nprime number tests, matrix computation), \"arithmetic without\nlimitations\" using the C library GMP (GNU Multiple Precision\nArithmetic).",
  "SystemRequirements": "gmp (>= 4.2.3)",
  "License": "GPL (>= 2)",
  "BuildResaveData": "no",
  "LazyDataNote": "not available, as we use data/*.R *and* our classes",
  "NeedsCompilation": "yes",
  "URL": "https://forgemia.inra.fr/sylvain.jasson/gmp",
  "Packaged": {
    "Date": "2026-06-09 06:59:38 UTC",
    "User": "root"
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  "Author": "Antoine Lucas [aut, cre] (ORCID:\n<https://orcid.org/0000-0002-8059-9767>), Immanuel Scholz\n[aut], Rainer Boehme [ctb], Sylvain Jasson [ctb], Martin\nMaechler [ctb]",
  "Config/pak/sysreqs": "libgmp3-dev",
  "Repository": "https://antoinelucas64.r-universe.dev",
  "Date/Publication": "2026-02-09 09:19:08 UTC",
  "RemoteUrl": "https://github.com/cran/gmp",
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  "_published": "2026-06-09T07:14:23.226Z",
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  "_exports": [
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    ".as.bigz",
    ".as.char.bigz",
    ".sub.bigq",
    "%*%",
    "add.bigq",
    "add.bigz",
    "apply",
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    "apply.bigz",
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    "as.bigq",
    "as.bigz",
    "as.bigz.bigq",
    "as.vector.bigq",
    "as.vector.bigz",
    "asNumeric",
    "BernoulliQ",
    "biginteger_as",
    "biginteger_as_character",
    "c_bigq",
    "c_bigz",
    "chooseZ",
    "crossprod",
    "dbinomQ",
    "denominator",
    "denominator<-",
    "div.bigq",
    "div.bigz",
    "divq.bigz",
    "Eulerian",
    "Eulerian.all",
    "factorialZ",
    "factorize",
    "fibnum",
    "fibnum2",
    "formatN",
    "frexpZ",
    "gcd",
    "gcd.bigz",
    "gcd.default",
    "gcdex",
    "gmpVersion",
    "inv.bigz",
    "is.bigq",
    "is.bigz",
    "is.matrixZQ",
    "is.whole",
    "isprime",
    "lcm.bigz",
    "lcm.default",
    "log.bigz",
    "log10.bigz",
    "log2.bigz",
    "lucnum",
    "lucnum2",
    "matrix",
    "matrix.bigq",
    "matrix.bigz",
    "matrix.default",
    "max.bigq",
    "max.bigz",
    "min.bigq",
    "min.bigz",
    "mod.bigz",
    "modulus",
    "modulus<-",
    "mul.bigq",
    "mul.bigz",
    "NA_bigq_",
    "NA_bigz_",
    "ncol.bigq",
    "ncol.bigz",
    "nextprime",
    "nrow.bigq",
    "nrow.bigz",
    "numerator",
    "numerator<-",
    "outer",
    "pow.bigq",
    "pow.bigz",
    "powm",
    "prod.bigq",
    "prod.bigz",
    "rep.bigq",
    "rep.bigz",
    "round0",
    "roundQ",
    "sizeinbase",
    "solve.bigq",
    "solve.bigz",
    "Stirling1",
    "Stirling1.all",
    "Stirling2",
    "Stirling2.all",
    "sub.bigq",
    "sub.bigz",
    "sum.bigq",
    "sum.bigz",
    "tcrossprod",
    "urand.bigz",
    "which.max",
    "which.min"
  ],
  "_datasets": [
    {
      "name": "Oakley1",
      "title": "RFC 2409 Oakley Groups - Parameters for Diffie-Hellman Key Exchange",
      "object": "Oakley1",
      "file": "Oakley1.R",
      "class": [
        "bigz"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    },
    {
      "name": "Oakley2",
      "title": "RFC 2409 Oakley Groups - Parameters for Diffie-Hellman Key Exchange",
      "object": "Oakley2",
      "file": "Oakley2.R",
      "class": [
        "bigz"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    }
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        "apply.bigq",
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        "apply.default"
      ]
    },
    {
      "page": "asNumeric",
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      "topics": [
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        "asNumeric,ANY-method",
        "asNumeric,bigq-method",
        "asNumeric,bigz-method",
        "asNumeric-methods"
      ]
    },
    {
      "page": "BernoulliQ",
      "title": "Exact Bernoulli Numbers",
      "topics": [
        "BernoulliQ"
      ]
    },
    {
      "page": "bigrational",
      "title": "Large sized rationals",
      "topics": [
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        "as.bigz.bigq",
        "as.character.bigq",
        "as.double.bigq",
        "bigq",
        "bigq-class",
        "c_bigq",
        "denominator",
        "denominator<-",
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        "is.na.bigq",
        "NA_bigq_",
        "numerator",
        "numerator<-",
        "print.bigq"
      ]
    },
    {
      "page": "comp.bigq",
      "title": "Relational Operators",
      "topics": [
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        "<.bigq",
        "<=.bigq",
        "==.bigq",
        ">.bigq",
        ">=.bigq",
        "sign.bigq"
      ]
    },
    {
      "page": "operators_bigq",
      "title": "Basic arithmetic operators for large rationals",
      "topics": [
        "*.bigq",
        "+.bigq",
        "-.bigq",
        "/.bigq",
        "abs.bigq",
        "add.bigq",
        "div.bigq",
        "mul.bigq",
        "pow.bigq",
        "sub.bigq",
        "^.bigq"
      ]
    },
    {
      "page": "biginteger",
      "title": "Large Sized Integer Values",
      "topics": [
        "as.bigz",
        "as.character.bigz",
        "as.double.bigz",
        "biginteger_as",
        "biginteger_as_character",
        "bigz",
        "bigz-class",
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        "is.na.bigz",
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        "print.bigz"
      ]
    },
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      "page": "add.biginteger",
      "title": "Basic Arithmetic Operators for Large Integers (\"bigz\")",
      "topics": [
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        "%/%.bigz",
        "*.bigz",
        "+.bigz",
        "-.bigz",
        "/.bigz",
        "abs.bigz",
        "add.bigz",
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        "pow.bigz",
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      ]
    },
    {
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      "topics": [
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      ]
    },
    {
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      ]
    },
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        "c.bigz",
        "length.bigq",
        "length.bigz",
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        "length<-.bigz",
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        "[<-.bigq",
        "[<-.bigz",
        "[[.bigq",
        "[[.bigz",
        "[[<-.bigq",
        "[[<-.bigz"
      ]
    },
    {
      "page": "extreme",
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      "topics": [
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        "max.bigz",
        "min.bigq",
        "min.bigz",
        "which.max,bigq-method",
        "which.max,bigz-method",
        "which.min,bigq-method",
        "which.min,bigz-method"
      ]
    },
    {
      "page": "factorialZ",
      "title": "Factorial and Binomial Coefficient as Big Integer",
      "topics": [
        "chooseZ",
        "factorialZ"
      ]
    },
    {
      "page": "factor",
      "title": "Factorize a number",
      "topics": [
        "factorize"
      ]
    },
    {
      "page": "formatN",
      "title": "Format Numbers Keeping Classes Distinguishable",
      "topics": [
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        "formatN.bigq",
        "formatN.bigz",
        "formatN.default",
        "formatN.double",
        "formatN.integer"
      ]
    },
    {
      "page": "frexpZ",
      "title": "Split Number into Fractional and Exponent of 2 Parts",
      "topics": [
        "frexp",
        "frexpZ"
      ]
    },
    {
      "page": "gcd",
      "title": "Greatest Common Divisor (GCD) and Least Common Multiple (LCM)",
      "concept": [
        "GCD",
        "LCM"
      ],
      "topics": [
        "gcd",
        "gcd.bigz",
        "gcd.default",
        "lcm.bigz",
        "lcm.default"
      ]
    },
    {
      "page": "gcdex",
      "title": "Compute Bezoult Coefficient",
      "topics": [
        "gcdex"
      ]
    },
    {
      "page": "base-copies",
      "title": "Base Functions in 'gmp'-ified Versions",
      "topics": [
        "outer"
      ]
    },
    {
      "page": "utils",
      "title": "GMP Number Utilities",
      "topics": [
        "gmpVersion"
      ]
    },
    {
      "page": "is.whole",
      "title": "Whole (\"Integer\") Numbers",
      "topics": [
        "is.whole",
        "is.whole.bigq",
        "is.whole.bigz",
        "is.whole.default"
      ]
    },
    {
      "page": "isprime",
      "title": "Determine if number is (very probably) prime",
      "topics": [
        "isprime"
      ]
    },
    {
      "page": "fibonacci",
      "title": "Compute Fibonacci and Lucas numbers",
      "topics": [
        "fibnum",
        "fibnum2",
        "lucnum",
        "lucnum2"
      ]
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