Introduction | Arithmetic with mpfr-numbers | ``All'' mathematical functions, arbitrarily precise | Arbitrarily precise matrices and arrays | Special mathematical functions | Integration highly precisely | Miscellaneous | Conclusion
Package: Rmpfr 1.1-2
Martin Maechler
Rmpfr: Interface R to MPFR - Multiple Precision Floating-Point Reliable
Arithmetic (via S4 classes and methods) for arbitrary precision floating point numbers, including transcendental ("special") functions. To this end, the package interfaces to the 'LGPL' licensed 'MPFR' (Multiple Precision Floating-Point Reliable) Library which itself is based on the 'GMP' (GNU Multiple Precision) Library.
Authors:
Rmpfr_1.1-2.tar.gz
Rmpfr_1.1-2.zip(r-4.7)Rmpfr_1.1-2.zip(r-4.6)Rmpfr_1.1-2.zip(r-4.5)
Rmpfr_1.1-2.tgz(r-4.6-x86_64)Rmpfr_1.1-2.tgz(r-4.6-arm64)Rmpfr_1.1-2.tgz(r-4.5-x86_64)Rmpfr_1.1-2.tgz(r-4.5-arm64)
Rmpfr_1.1-2.tar.gz(r-4.7-arm64)Rmpfr_1.1-2.tar.gz(r-4.7-x86_64)Rmpfr_1.1-2.tar.gz(r-4.6-arm64)Rmpfr_1.1-2.tar.gz(r-4.6-x86_64)
manual.pdf |manual.html✨
DESCRIPTION |NEWS
card.svg |card.png
Rmpfr/json (API)
| # Install 'Rmpfr' in R: |
| install.packages('Rmpfr', repos = c('https://r-forge.r-universe.dev', 'https://cloud.r-project.org')) |
Bug tracker:https://r-forge.r-project.org/projects/rmpfr
Uses libs:
Last updated from:3a570462b3. Checks:12 OK, 1 FAIL. Indexed: yes.
| Target | Result | Time | Files | Syslog |
|---|---|---|---|---|
| linux-devel-arm64 | OK | 327 | ||
| linux-devel-x86_64 | OK | 247 | ||
| source / vignettes | OK | 299 | ||
| linux-release-arm64 | OK | 203 | ||
| linux-release-x86_64 | OK | 196 | ||
| macos-release-arm64 | OK | 140 | ||
| macos-release-x86_64 | OK | 406 | ||
| macos-oldrel-arm64 | OK | 142 | ||
| macos-oldrel-x86_64 | OK | 389 | ||
| windows-devel | OK | 172 | ||
| windows-release | OK | 178 | ||
| windows-oldrel | OK | 197 | ||
| wasm-release | FAIL | 245 |
Exports:..bigq2mpfr..bigz2mpfr.bigq2mpfr.bigz2mpfr.getPrec.getSign.mpfr.mpfr_erange.mpfr_erange_is_int.mpfr_erange_kinds.mpfr_erange_set.mpfr_formatinfo.mpfr_gmp_numbbits.mpfr_maxPrec.mpfr_minPrec.mpfr_negative.mpfr_sign.mpfr..mpfr.is.whole.mpfr2bigq.mpfr2bigz.mpfr2d.mpfr2exp.mpfr2i.mpfr2list.mpfr2str.mpfrSizeof.mpfrVersionAiall.equalapermapplyArithasNumericatan2BernoullibetacbindchooseMpfrchooseMpfr.allcoercecoerce<-colMeanscolSumsCompareConstdbinomdchisqdgammadiagdiag<-dnbinomdnormdpoisdtEierferfcfactorialfactorialMpfrformatformatBinformatDecformatHexformatMpfrfrexpMpfrgetDgetPrecheadhjkMpfrhypotigammaintegrateRis.mpfrj0j1jnlbetaldexpMpfrLi2log1mexplog1pexpLogicMathMath2matmultmeanmedianmpfrmpfr_default_precmpfr.is.0mpfr.is.integermpfr2arraympfrArraympfrImportmpfrIs0mpfrVersionmpfrXportnormnum2bigqOpsoptimizeRouterpbetaIpgammapmaxpminpnormpochMpfrqnormIquantilerbindroundMpfrrowMeansrowSumssapplyMpfrseqMpfrshowsumBinomMpfrsummarySummaryttailtoNumuniqueunirootRwhich.maxwhich.miny0y1ynzeta
Dependencies:gmp
Arbitrarily Accurate Computation with R Package Rmpfr
Last update: 2023-01-15
Started: 2012-12-03
Accurately Computing log(1 - exp(.)) -- Assessed by Rmpfr
Introduction: Not log() nor exp(), but log1p() and expm1() | log1p() and expm1() for log(1 - exp(x)) | Computation of log(1+exp(x)) | Conclusion
Last update: 2023-01-05
Started: 2012-12-03
useR-2011-abstract
Last update: 2013-07-25
Started: 2013-07-25
Readme and manuals
Help Manual
| Help page | Topics |
|---|---|
| R MPFR - Multiple Precision Floating-Point Reliable | Rmpfr-package Rmpfr |
| Auxiliary Class "array_or_vector" | array_or_vector-class |
| Methods for 'asNumeric(<mpfr>)' | asNumeric,mpfr-method asNumeric,mpfrArray-method asNumeric-methods |
| Virtual Class "atomicVector" of Atomic Vectors | atomicVector-class |
| Bernoulli Numbers in Arbitrary Precision | Bernoulli |
| Bessel functions of Integer Order in multiple precisions | Ai Bessel_mpfr j0 j1 jn y0 y1 yn |
| "mpfr" '...' - Methods for Functions cbind(), rbind() | cbind cbind,ANY-method cbind,Mnumber-method cbind-methods rbind rbind,ANY-method rbind,Mnumber-method rbind-methods |
| Binomial Coefficients and Pochhammer Symbol aka Rising Factorial | chooseMpfr chooseMpfr.all pochMpfr |
| Factorial 'n!' in Arbitrary Precision | factorialMpfr |
| Flexibly Format Numbers in Binary, Hex and Decimal Format | formatBin formatDec formatHex print.Ncharacter |
| Formatting and Printing MPFR (multiprecision) Numbers | .mpfr2str formatMpfr formatN.mpfr print.mpfr print.mpfrArray |
| Base-2 Representation and Multiplication of Mpfr Numbers | frexpMpfr ldexpMpfr |
| Conversion Utilities gmp <-> Rmpfr | .bigq2mpfr .bigz2mpfr .mpfr2bigq .mpfr2bigz coerce,bigq,mpfr-method coerce,bigz,mpfr-method |
| Hooke-Jeeves Derivative-Free Minimization R (working for MPFR) | hjkMpfr |
| Incomplete Gamma Function | igamma |
| One-Dimensional Numerical Integration - in pure R | integrateR print.integrateR show,integrateR-method |
| Whole ("Integer") Numbers | is.whole.mpfr |
| Compute f(a) = log(1 +/- exp(-a)) Numerically Optimally | log1mexp log1pexp |
| (MPFR) Matrix (Vector) Multiplication | .matmult.R matmult |
| Class "Mnumber" and "mNumber" of "mpfr" and regular numbers and arrays from them | Mnumber-class mNumber-class numericVector-class |
| Create "mpfr" Numbers (Objects) | Const is.mpfr mpfr mpfr.default mpfr.mpfr |
| Class "mpfr" of Multiple Precision Floating Point Numbers | %*%,array_or_vector,mpfr-method %*%,mpfr,array_or_vector-method abs,mpfr-method all.equal,ANY,mpfr-method all.equal,mpfr,ANY-method all.equal,mpfr,mpfr-method Arg,mpfr-method Arith,array,mpfr-method Arith,integer,mpfr-method Arith,mpfr,array-method Arith,mpfr,integer-method Arith,mpfr,missing-method Arith,mpfr,mpfr-method Arith,mpfr,numeric-method Arith,numeric,mpfr-method as.integer,mpfr-method as.numeric,mpfr-method as.vector,mpfrArray-method atan2,ANY,mpfr-method atan2,ANY,mpfrArray-method atan2,mpfr,ANY-method atan2,mpfr,mpfr-method atan2,mpfr,numeric-method atan2,mpfrArray,ANY-method atan2,mpfrArray,mpfrArray-method atan2,numeric,mpfr-method beta,ANY,mpfr-method beta,ANY,mpfrArray-method beta,mpfr,ANY-method beta,mpfr,mpfr-method beta,mpfr,numeric-method beta,mpfrArray,ANY-method beta,mpfrArray,mpfrArray-method beta,numeric,mpfr-method coerce,array,mpfr-method coerce,character,mpfr-method coerce,integer,mpfr-method coerce,logical,mpfr-method coerce,mpfr,bigz-method coerce,mpfr,character-method coerce,mpfr,integer-method coerce,mpfr,mpfr1-method coerce,mpfr,numeric-method coerce,mpfr1,mpfr-method coerce,mpfr1,numeric-method coerce,numeric,mpfr-method coerce,numeric,mpfr1-method coerce,raw,mpfr-method Compare,array,mpfr-method Compare,integer,mpfr-method Compare,mpfr,array-method Compare,mpfr,integer-method Compare,mpfr,mpfr-method Compare,mpfr,numeric-method Compare,numeric,mpfr-method Conj,mpfr-method crossprod,array_or_vector,mpfr-method crossprod,mpfr,array_or_vector-method dim<-,mpfr-method factorial,mpfr-method format,mpfr-method hypot Im,mpfr-method is.finite,mpfr-method is.finite,mpfrArray-method is.infinite,mpfr-method is.infinite,mpfrArray-method is.na,mpfr-method is.na,mpfrArray-method is.nan,mpfr-method is.nan,mpfrArray-method lbeta,ANY,mpfr-method lbeta,ANY,mpfrArray-method lbeta,mpfr,ANY-method lbeta,mpfr,mpfr-method lbeta,mpfr,numeric-method lbeta,mpfrArray,ANY-method lbeta,mpfrArray,mpfrArray-method lbeta,numeric,mpfr-method log,mpfr-method Logic,mpfr,mpfr-method Logic,mpfr,numeric-method Logic,numeric,mpfr-method Math,mpfr-method Math2,mpfr-method mean,mpfr-method median,mpfr-method Mod,mpfr-method mpfr-class mpfr1-class Ops,ANY,mpfr-method Ops,array,mpfr-method Ops,bigq,mpfr-method Ops,bigz,mpfr-method Ops,mpfr,ANY-method Ops,mpfr,array-method Ops,mpfr,bigq-method Ops,mpfr,bigz-method Ops,mpfr,vector-method Ops,vector,mpfr-method print.mpfr1 print.summaryMpfr quantile,mpfr-method Re,mpfr-method show,mpfr-method show,mpfr1-method show,summaryMpfr-method sign,mpfr-method Summary,mpfr-method summary,mpfr-method summaryMpfr-class t,mpfr-method tcrossprod,array_or_vector,mpfr-method tcrossprod,mpfr,array_or_vector-method unique,mpfr,ANY-method unique,mpfr-method unique.mpfr which.max,mpfr-method which.min,mpfr-method [,mpfr,ANY,missing,missing-method [<-,mpfr,ANY,missing,ANY-method [<-,mpfr,ANY,missing,mpfr-method [<-,mpfr,missing,missing,ANY-method [[,mpfr-method |
| Distribution Functions with MPFR Arithmetic | dbinom dchisq dgamma dnbinom dnorm dpois dt mpfr-distr pgamma pnorm |
| Special Mathematical Functions (MPFR) | Ei erf erfc Li2 zeta |
| Rmpfr - Utilities for Precision Setting, etc | ..bigq2mpfr ..bigz2mpfr .getPrec .getSign .mpfr .mpfr. .mpfr2d .mpfr2exp .mpfr2i .mpfr2list .mpfrSizeof .mpfrVersion .mpfr_erange .mpfr_erange_is_int .mpfr_erange_kinds .mpfr_erange_set .mpfr_formatinfo .mpfr_gmp_numbbits .mpfr_maxPrec .mpfr_minPrec .mpfr_negative .mpfr_sign getD getPrec mpfr2array mpfrImport mpfrXport mpfr_default_prec toNum |
| MPFR Number Utilities | .mpfr.is.whole c.mpfr diff.mpfr mpfr.is.0 mpfr.is.integer mpfrIs0 mpfrVersion |
| Construct "mpfrArray" almost as by 'array()' | mpfrArray |
| Classes "mpfrMatrix" and "mpfrArray" | %*%,Mnumber,mpfr-method %*%,mpfr,Mnumber-method %*%,mpfr,mpfr-method %*%,mpfr,mpfrMatrix-method %*%,mpfrMatrix,mpfr-method %*%,mpfrMatrix,mpfrMatrix-method aperm,mpfrArray-method apply,mpfrArray-method Arith,mpfr,mpfrArray-method Arith,mpfrArray,mpfr-method Arith,mpfrArray,mpfrArray-method Arith,mpfrArray,numeric-method Arith,numeric,mpfrArray-method as.vector,mpfrArray,missing-method coerce,array,mpfrArray-method coerce,matrix,mpfrMatrix-method coerce,mpfrArray,array-method coerce,mpfrArray,matrix-method coerce,mpfrArray,vector-method coerce,mpfrMatrix,matrix-method coerce<-,mpfrArray,vector-method colMeans,mpfrArray-method colSums,mpfrArray-method Compare,mpfr,mpfrArray-method Compare,mpfrArray,mpfr-method Compare,mpfrArray,numeric-method Compare,numeric,mpfrArray-method crossprod,Mnumber,mpfr-method crossprod,mpfr,missing-method crossprod,mpfr,Mnumber-method crossprod,mpfr,mpfr-method crossprod,mpfr,mpfrMatrix-method crossprod,mpfrMatrix,mpfr-method crossprod,mpfrMatrix,mpfrMatrix-method diag,mpfrMatrix-method diag<-,mpfrMatrix-method dim,mpfrArray-method dimnames,mpfrArray-method dimnames<-,mpfrArray-method mpfrArray-class mpfrMatrix-class norm,ANY,missing-method norm,mpfrMatrix,character-method rowMeans,mpfrArray-method rowSums,mpfrArray-method show,mpfrArray-method sign,mpfrArray-method t,mpfrMatrix-method tcrossprod,Mnumber,mpfr-method tcrossprod,mpfr,missing-method tcrossprod,mpfr,Mnumber-method tcrossprod,mpfr,mpfr-method tcrossprod,mpfr,mpfrMatrix-method tcrossprod,mpfrMatrix,mpfr-method tcrossprod,mpfrMatrix,mpfrMatrix-method [,mpfrArray,ANY,ANY,ANY-method [,mpfrArray,ANY,missing,missing-method [,mpfrArray,matrix,missing,missing-method [<-,mpfrArray,ANY,ANY,ANY-method [<-,mpfrArray,ANY,ANY,mpfr-method [<-,mpfrArray,ANY,missing,ANY-method [<-,mpfrArray,ANY,missing,mpfr-method [<-,mpfrArray,matrix,missing,ANY-method [<-,mpfrArray,matrix,missing,mpfr-method [<-,mpfrArray,missing,ANY,ANY-method [<-,mpfrArray,missing,ANY,mpfr-method [<-,mpfrArray,missing,missing,ANY-method [<-,mpfrArray,missing,missing,mpfr-method |
| Functions for mpfrMatrix Objects | determinant.mpfrMatrix |
| BigQ / BigRational Approximation of Numbers | num2bigq |
| High Precision One-Dimensional Optimization | optimizeR |
| Accurate Incomplete Beta / Beta Probabilities For Integer Shapes | pbetaI |
| Parallel Maxima and Minima | pmax pmax,ANY-method pmax,mNumber-method pmax-methods pmin pmin,ANY-method pmin,mNumber-method pmin-methods |
| Gaussian / Normal Quantiles 'qnorm()' via Inversion | qnormI |
| Base Functions etc, as an Rmpfr version | outer |
| Rounding to Binary bits, "mpfr-internally" | roundMpfr setPrec |
| Apply a Function over a "mpfr" Vector | sapplyMpfr |
| "mpfr" Sequence Generation | seqMpfr |
| Compactly Show STRucture of Rmpfr Number Object | str.mpfr |
| (Alternating) Binomial Sums via Rmpfr | sumBinomMpfr |
| One Dimensional Root (Zero) Finding - in pure R | unirootR |
