Multiple Precision Arithmetic

---

Documentation for package ‘gmp’ version 0.7-5

• DESCRIPTION file.

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A B C D E F G I L M N O P R S T U W misc

-- A --

abs.bigq	Basic arithmetic operators for large rationals
abs.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
add.bigq	Basic arithmetic operators for large rationals
add.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
apply	Apply Functions Over Matrix Margins (Rows or Columns)
apply.bigq	Apply Functions Over Matrix Margins (Rows or Columns)
apply.bigz	Apply Functions Over Matrix Margins (Rows or Columns)
apply.default	Apply Functions Over Matrix Margins (Rows or Columns)
as.bigq	Large sized rationals
as.bigz	Large Sized Integer Values
as.bigz.bigq	Large sized rationals
as.character.bigq	Large sized rationals
as.character.bigz	Large Sized Integer Values
as.double.bigq	Large sized rationals
as.double.bigz	Large Sized Integer Values
as.matrix.bigq	Matrix manipulation with gmp
as.matrix.bigz	Matrix manipulation with gmp
as.vector.bigq	Matrix manipulation with gmp
as.vector.bigz	Matrix manipulation with gmp
asNumeric	Coerce to 'numeric', not Loosing Dimensions
asNumeric-method	Coerce to 'numeric', not Loosing Dimensions
asNumeric-methods	Coerce to 'numeric', not Loosing Dimensions

-- B --

BernoulliQ	Exact Bernoulli Numbers
biginteger_as	Large Sized Integer Values
biginteger_as_character	Large Sized Integer Values
bigq	Large sized rationals
bigq-class	Large sized rationals
bigz	Large Sized Integer Values
bigz-class	Large Sized Integer Values

-- C --

c.bigq	Extract or Replace Parts of a 'bigz' or 'bigq' Object
c.bigz	Extract or Replace Parts of a 'bigz' or 'bigq' Object
cbind.bigq	Matrix manipulation with gmp
cbind.bigz	Matrix manipulation with gmp
chooseZ	Factorial and Binomial Coefficient as Big Integer
crossprod	Matrix manipulation with gmp
crossprod.bigq	Matrix manipulation with gmp
crossprod.bigz	Matrix manipulation with gmp
crossprod.default	Matrix manipulation with gmp
cumsum.bigq	(Cumulative) Sums, Products of Large Integers and Rationals
cumsum.bigz	(Cumulative) Sums, Products of Large Integers and Rationals
c_bigq	Large sized rationals
c_bigz	Large Sized Integer Values

-- D --

dbinomQ	Exact Rational Binomial Probabilities
denominator	Large sized rationals
denominator<-	Large sized rationals
dim.bigq	Matrix manipulation with gmp
dim.bigz	Matrix manipulation with gmp
dim<-.bigq	Matrix manipulation with gmp
dim<-.bigz	Matrix manipulation with gmp
div.bigq	Basic arithmetic operators for large rationals
div.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
divq.bigz	Basic Arithmetic Operators for Large Integers ("bigz")

-- E --

Eulerian	Eulerian and Stirling Numbers of First and Second Kind
Eulerian.all	Eulerian and Stirling Numbers of First and Second Kind

-- F --

factorialZ	Factorial and Binomial Coefficient as Big Integer
factorize	Factorize a number
fibnum	Compute Fibonacci and Lucas numbers
fibnum2	Compute Fibonacci and Lucas numbers
formatN	Format Numbers Keeping Classes Distinguishable
formatN.bigq	Format Numbers Keeping Classes Distinguishable
formatN.bigz	Format Numbers Keeping Classes Distinguishable
formatN.default	Format Numbers Keeping Classes Distinguishable
formatN.double	Format Numbers Keeping Classes Distinguishable
formatN.integer	Format Numbers Keeping Classes Distinguishable
frexp	Split Number into Fractional and Exponent of 2 Parts
frexpZ	Split Number into Fractional and Exponent of 2 Parts

-- G --

gcd	Greatest Common Divisor (GCD) and Least Common Multiple (LCM)
gcd.bigz	Greatest Common Divisor (GCD) and Least Common Multiple (LCM)
gcd.default	Greatest Common Divisor (GCD) and Least Common Multiple (LCM)
gcdex	Compute Bezoult Coefficient
gmpVersion	GMP Number Utilities

-- I --

inv	Basic Arithmetic Operators for Large Integers ("bigz")
inv.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
is.bigq	Large sized rationals
is.bigz	Large Sized Integer Values
is.matrixZQ	Matrix manipulation with gmp
is.na.bigq	Large sized rationals
is.na.bigz	Large Sized Integer Values
is.whole	Whole ("Integer") Numbers
is.whole.bigq	Whole ("Integer") Numbers
is.whole.bigz	Whole ("Integer") Numbers
is.whole.default	Whole ("Integer") Numbers
isprime	Determine if number is (very probably) prime

-- L --

lcm.bigz	Greatest Common Divisor (GCD) and Least Common Multiple (LCM)
lcm.default	Greatest Common Divisor (GCD) and Least Common Multiple (LCM)
length.bigq	Extract or Replace Parts of a 'bigz' or 'bigq' Object
length.bigz	Extract or Replace Parts of a 'bigz' or 'bigq' Object
length<-.bigq	Extract or Replace Parts of a 'bigz' or 'bigq' Object
length<-.bigz	Extract or Replace Parts of a 'bigz' or 'bigq' Object
log.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
log10.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
log2.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
lucnum	Compute Fibonacci and Lucas numbers
lucnum2	Compute Fibonacci and Lucas numbers

-- M --

matrix	Matrix manipulation with gmp
matrix.bigq	Matrix manipulation with gmp
matrix.bigz	Matrix manipulation with gmp
matrix.default	Matrix manipulation with gmp
max.bigq	Extrema (Maxima and Minima)
max.bigz	Extrema (Maxima and Minima)
min.bigq	Extrema (Maxima and Minima)
min.bigz	Extrema (Maxima and Minima)
mod.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
modulus	Modulus of a Big Integer
modulus.bigz	Modulus of a Big Integer
modulus<-	Modulus of a Big Integer
modulus<-.bigz	Modulus of a Big Integer
mul.bigq	Basic arithmetic operators for large rationals
mul.bigz	Basic Arithmetic Operators for Large Integers ("bigz")

-- N --

NA_bigq_	Large sized rationals
NA_bigz_	Large Sized Integer Values
ncol.bigq	Matrix manipulation with gmp
ncol.bigz	Matrix manipulation with gmp
nextprime	Next Prime Number
nrow.bigq	Matrix manipulation with gmp
nrow.bigz	Matrix manipulation with gmp
numerator	Large sized rationals
numerator<-	Large sized rationals

-- O --

Oakley	RFC 2409 Oakley Groups - Parameters for Diffie-Hellman Key Exchange
Oakley1	RFC 2409 Oakley Groups - Parameters for Diffie-Hellman Key Exchange
Oakley2	RFC 2409 Oakley Groups - Parameters for Diffie-Hellman Key Exchange
outer	Base Functions in 'gmp'-ified Versions

-- P --

pow	Basic Arithmetic Operators for Large Integers ("bigz")
pow.bigq	Basic arithmetic operators for large rationals
pow.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
powm	Exponentiation function
print.bigq	Large sized rationals
print.bigz	Large Sized Integer Values
prod.bigq	(Cumulative) Sums, Products of Large Integers and Rationals
prod.bigz	(Cumulative) Sums, Products of Large Integers and Rationals

-- R --

rbind.bigq	Matrix manipulation with gmp
rbind.bigz	Matrix manipulation with gmp
rep.bigq	Extract or Replace Parts of a 'bigz' or 'bigq' Object
rep.bigz	Extract or Replace Parts of a 'bigz' or 'bigq' Object
round.bigq	Rounding Big Rationals ("bigq") to Decimals
round0	Rounding Big Rationals ("bigq") to Decimals
roundQ	Rounding Big Rationals ("bigq") to Decimals

-- S --

sign.bigq	Relational Operators
sign.bigz	Relational Operators
sizeinbase	Compute size of a bigz in a base
solve.bigq	Solve a system of equation
solve.bigz	Solve a system of equation
Stirling1	Eulerian and Stirling Numbers of First and Second Kind
Stirling1.all	Eulerian and Stirling Numbers of First and Second Kind
Stirling2	Eulerian and Stirling Numbers of First and Second Kind
Stirling2.all	Eulerian and Stirling Numbers of First and Second Kind
sub.bigq	Basic arithmetic operators for large rationals
sub.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
sum.bigq	(Cumulative) Sums, Products of Large Integers and Rationals
sum.bigz	(Cumulative) Sums, Products of Large Integers and Rationals

-- T --

t.bigq	Matrix manipulation with gmp
t.bigz	Matrix manipulation with gmp
tcrossprod	Matrix manipulation with gmp
tcrossprod.bigq	Matrix manipulation with gmp
tcrossprod.bigz	Matrix manipulation with gmp
tcrossprod.default	Matrix manipulation with gmp

-- U --

urand.bigz

Generate a random number

-- W --

which.max-method	Extrema (Maxima and Minima)
which.min-method	Extrema (Maxima and Minima)

-- misc --

!=.bigq	Relational Operators
!=.bigz	Relational Operators
%%.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
%*%	Matrix manipulation with gmp
%*%.bigq	Matrix manipulation with gmp
%*%.bigz	Matrix manipulation with gmp
%*%.default	Matrix manipulation with gmp
%/%.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
*.bigq	Basic arithmetic operators for large rationals
*.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
+.bigq	Basic arithmetic operators for large rationals
+.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
-.bigq	Basic arithmetic operators for large rationals
-.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
..as.bigz	Exported function for mpfr use
.as.bigz	Exported function for mpfr use
.as.char.bigz	Exported function for mpfr use
.sub.bigq	Exported function for mpfr use
/.bigq	Basic arithmetic operators for large rationals
/.bigz	Basic Arithmetic Operators for Large Integers ("bigz")
<.bigq	Relational Operators
<.bigz	Relational Operators
<=.bigq	Relational Operators
<=.bigz	Relational Operators
==.bigq	Relational Operators
==.bigz	Relational Operators
>.bigq	Relational Operators
>.bigz	Relational Operators
>=.bigq	Relational Operators
>=.bigz	Relational Operators
[.bigq	Extract or Replace Parts of a 'bigz' or 'bigq' Object
[.bigz	Extract or Replace Parts of a 'bigz' or 'bigq' Object
[<-.bigq	Extract or Replace Parts of a 'bigz' or 'bigq' Object
[<-.bigz	Extract or Replace Parts of a 'bigz' or 'bigq' Object
[[.bigq	Extract or Replace Parts of a 'bigz' or 'bigq' Object
[[.bigz	Extract or Replace Parts of a 'bigz' or 'bigq' Object
[[<-.bigq	Extract or Replace Parts of a 'bigz' or 'bigq' Object
[[<-.bigz	Extract or Replace Parts of a 'bigz' or 'bigq' Object
^.bigq	Basic arithmetic operators for large rationals
^.bigz	Basic Arithmetic Operators for Large Integers ("bigz")