Multiple Precision Arithmetic

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Documentation for package ‘gmp’ version 0.7-4

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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 an Object
c.bigz Extract or Replace Parts of an 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 an Object
length.bigz Extract or Replace Parts of an Object
length<-.bigq Extract or Replace Parts of an Object
length<-.bigz Extract or Replace Parts of an 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 an Object
rep.bigz Extract or Replace Parts of an 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 an Object
[.bigz Extract or Replace Parts of an Object
[<-.bigq Extract or Replace Parts of an Object
[<-.bigz Extract or Replace Parts of an Object
[[.bigq Extract or Replace Parts of an Object
[[.bigz Extract or Replace Parts of an Object
[[<-.bigq Extract or Replace Parts of an Object
[[<-.bigz Extract or Replace Parts of an Object
^.bigq Basic arithmetic operators for large rationals
^.bigz Basic Arithmetic Operators for Large Integers ("bigz")