Rmpfr (version 0.6-0)

Rmpfr-package: R MPFR - Multiple Precision Floating-Point Reliable

Description

Rmpfr provides S4 classes and methods for arithmetic including transcendental ("special") functions for arbitrary precision floating point numbers, here often called “mpfr - numbers”. To this end, it interfaces to the LGPL'ed MPFR (Multiple Precision Floating-Point Reliable) Library which itself is based on the GMP (GNU Multiple Precision) Library.

Details

Package:

Rmpfr

SystemRequirements:

gmp (>= 4.2.3), mpfr (>= 3.0.0)

(C (not R!) libraries; must be installed)

Depends:

methods, gmp (>= 0.5-8), R (>= 2.12.0)

Imports:

gmp, stats, utils

Suggests:

MASS, polynom, sfsmisc (>= 1.0-20), Matrix

SuggestNotes:

MASS, polynom, sfsmisc are only needed for vignette; Matrix only because of its test-tools

URL:

http://rmpfr.r-forge.r-project.org/

License:

GPL (>= 2)

The following (help pages) index does not really mention that we provide many methods for mathematical functions, including gamma, digamma, etc, namely, all of R's (S4) Math group (with the only exception of trigamma), see the list in the examples. Additionally also pnorm, the “error function”, and more, see the list in zeta, and further note the first vignette (below).

Partial index:

mpfr

Create "mpfr" Numbers (Objects)

mpfrArray

Construct "mpfrArray" almost as by array()

mpfr-class

Class "mpfr" of Multiple Precision Floating Point Numbers

mpfrMatrix-class

Classes "mpfrMatrix" and "mpfrArray"

Bernoulli

Bernoulli Numbers in Arbitrary Precision

Bessel_mpfr

Bessel functions of Integer Order in multiple precisions

c.mpfr

MPFR Number Utilities

cbind

"mpfr" ... - Methods for Functions cbind(), rbind()

chooseMpfr

Binomial Coefficients and Pochhammer Symbol aka

Rising Factorial

factorialMpfr

Factorial 'n!' in Arbitrary Precision

formatMpfr

Formatting MPFR (multiprecision) Numbers

getPrec

Rmpfr - Utilities for Precision Setting, Printing, etc

roundMpfr

Rounding to Binary bits, "mpfr-internally"

seqMpfr

"mpfr" Sequence Generation

sumBinomMpfr

(Alternating) Binomial Sums via Rmpfr

zeta

Special Mathematical Functions (MPFR)

integrateR

One-Dimensional Numerical Integration - in pure R

unirootR

One Dimensional Root (Zero) Finding - in pure R

optimizeR

High Precisione One-Dimensional Optimization

hjkMpfr

Hooke-Jeeves Derivative-Free Minimization R (working for MPFR)

Further information is available in the following vignettes:

Rmpfr-pkg

Rmpfr (source, pdf)

log1mexp-note

Acccurately Computing log(1 - exp(.)) -- Assessed by Rmpfr (source, pdf)

References

MPFR (MP Floating-Point Reliable Library), http://mpfr.org/

GMP (GNU Multiple Precision library), http://gmplib.org/

and see the vignettes mentioned above.

See Also

The R package gmp for big integer and rational numbers (bigrational) on which Rmpfr now depends.

Examples

## Using  "mpfr" numbers instead of regular numbers...
n1.25 <- mpfr(5, precBits = 256)/4
n1.25

## and then "everything" just works with the desired chosen precision:hig
n1.25 ^ c(1:7, 20, 30) ## fully precise; compare with
print(1.25 ^ 30, digits=19)

exp(n1.25)

## Show all math functions which work with "MPFR" numbers (1 exception: trigamma)
getGroupMembers("Math")

## We provide *many* arithmetic, special function, and other methods:
showMethods(classes = "mpfr")
showMethods(classes = "mpfrArray")