R: Store and Operate with Arbitrarily Large Integers

# Store and Operate with Arbitrarily Large Integers

## Documentation for package ‘VeryLargeIntegers’ version 0.2.1

- DESCRIPTION file.

## Help Pages

A B C D E F G I J L M N P R S V misc

## -- A --

abs.vli | Basic Arithmetic and Logical Operators for vli Objects
as.character.vli | Very Large Integers Basics
as.integer.vli | Very Large Integers Basics
as.vli | Very Large Integers Basics
as.vli.character | Very Large Integers Basics
as.vli.default | Very Large Integers Basics
as.vli.numeric | Very Large Integers Basics
as.vli.vli | Very Large Integers Basics
asnumeric | Very Large Integers Basics
asnumeric.default | Very Large Integers Basics
asnumeric.vli | Very Large Integers Basics

## -- B --

binom | Binomial Coefficients for vli Objects
binom.default | Binomial Coefficients for vli Objects
binom.numeric | Binomial Coefficients for vli Objects
binom.vli | Binomial Coefficients for vli Objects

## -- C --

count1bits | Counting the Number of 1-Bits in vli Objects
count1bits.default | Counting the Number of 1-Bits in vli Objects
count1bits.numeric | Counting the Number of 1-Bits in vli Objects
count1bits.vli | Counting the Number of 1-Bits in vli Objects

## -- D --

divisor | Finding a Random Divisor of a vli Object
divisor.default | Finding a Random Divisor of a vli Object
divisor.numeric | Finding a Random Divisor of a vli Object
divisor.vli | Finding a Random Divisor of a vli Object
divmod | Basic Modular-Arithmetic Operators for vli Objects
divmod.default | Basic Modular-Arithmetic Operators for vli Objects
divmod.numeric | Basic Modular-Arithmetic Operators for vli Objects
divmod.vli | Basic Modular-Arithmetic Operators for vli Objects
divp2 | Efficient Division by a Power of 2
divp2.default | Efficient Division by a Power of 2
divp2.numeric | Efficient Division by a Power of 2
divp2.vli | Efficient Division by a Power of 2

## -- E --

exteuclid | Extended Euclidean Algorithm for vli Objects
exteuclid.default | Extended Euclidean Algorithm for vli Objects
exteuclid.numeric | Extended Euclidean Algorithm for vli Objects
exteuclid.vli | Extended Euclidean Algorithm for vli Objects

## -- F --

factors | Factorization of vli Objects
factors.default | Factorization of vli Objects
factors.numeric | Factorization of vli Objects
factors.vli | Factorization of vli Objects
factvli | Factorial of a vli Object
factvli.default | Factorial of a vli Object
factvli.numeric | Factorial of a vli Object
factvli.vli | Factorial of a vli Object
Fibonacci | Fibonacci Numbers Tools for vli Objects
Fibonacci.default | Fibonacci Numbers Tools for vli Objects
Fibonacci.numeric | Fibonacci Numbers Tools for vli Objects

## -- G --

gcd | Greatest Common Divisor for vli Objects
gcd.default | Greatest Common Divisor for vli Objects
gcd.numeric | Greatest Common Divisor for vli Objects
gcd.vli | Greatest Common Divisor for vli Objects

## -- I --

invmod | Basic Modular-Arithmetic Operators for vli Objects
invmod.default | Basic Modular-Arithmetic Operators for vli Objects
invmod.numeric | Basic Modular-Arithmetic Operators for vli Objects
invmod.vli | Basic Modular-Arithmetic Operators for vli Objects
is.Fibonacci | Fibonacci Numbers Tools for vli Objects
is.Fibonacci.default | Fibonacci Numbers Tools for vli Objects
is.Fibonacci.numeric | Fibonacci Numbers Tools for vli Objects
is.Fibonacci.vli | Fibonacci Numbers Tools for vli Objects
is.perfectpow | Perfect Power Tools for vli Objects
is.perfectpow.default | Perfect Power Tools for vli Objects
is.perfectpow.numeric | Perfect Power Tools for vli Objects
is.perfectpow.vli | Perfect Power Tools for vli Objects
is.prime | Probabilistic Primality Tests for vli Objects
is.primeF | Probabilistic Primality Tests for vli Objects
is.primeF.default | Probabilistic Primality Tests for vli Objects
is.primeF.numeric | Probabilistic Primality Tests for vli Objects
is.primeF.vli | Probabilistic Primality Tests for vli Objects
is.primeMR | Probabilistic Primality Tests for vli Objects
is.primeMR.default | Probabilistic Primality Tests for vli Objects
is.primeMR.numeric | Probabilistic Primality Tests for vli Objects
is.primeMR.vli | Probabilistic Primality Tests for vli Objects
is.primeSS | Probabilistic Primality Tests for vli Objects
is.primeSS.default | Probabilistic Primality Tests for vli Objects
is.primeSS.numeric | Probabilistic Primality Tests for vli Objects
is.primeSS.vli | Probabilistic Primality Tests for vli Objects
is.vli | Very Large Integers Basics

## -- J --

Jacobi | Computation of the Jacobi Symbol for vli Objects
Jacobi.default | Computation of the Jacobi Symbol for vli Objects
Jacobi.numeric | Computation of the Jacobi Symbol for vli Objects
Jacobi.vli | Computation of the Jacobi Symbol for vli Objects

## -- L --

lcmul | Least Common Multiple for vli Objects
lcmul.default | Least Common Multiple for vli Objects
lcmul.numeric | Least Common Multiple for vli Objects
lcmul.vli | Least Common Multiple for vli Objects
Legendre | Legrendre's Formula for vli Objects
Legendre.default | Legrendre's Formula for vli Objects
Legendre.numeric | Legrendre's Formula for vli Objects
Legendre.vli | Legrendre's Formula for vli Objects
log.vli | Integer Logarithms for vli Objects
log10.vli | Integer Logarithms for vli Objects
log10rem | Integer Logarithms for vli Objects
log10rem.default | Integer Logarithms for vli Objects
log10rem.numeric | Integer Logarithms for vli Objects
log10rem.vli | Integer Logarithms for vli Objects
loge | Integer Logarithms for vli Objects
loge.default | Integer Logarithms for vli Objects
loge.numeric | Integer Logarithms for vli Objects
loge.vli | Integer Logarithms for vli Objects
logrem | Integer Logarithms for vli Objects
logrem.default | Integer Logarithms for vli Objects
logrem.numeric | Integer Logarithms for vli Objects
logrem.vli | Integer Logarithms for vli Objects

## -- M --

mulmod | Basic Modular-Arithmetic Operators for vli Objects
mulmod.default | Basic Modular-Arithmetic Operators for vli Objects
mulmod.numeric | Basic Modular-Arithmetic Operators for vli Objects
mulmod.vli | Basic Modular-Arithmetic Operators for vli Objects

## -- N --

nextprime | Next Prime Number
nextprime.default | Next Prime Number
nextprime.numeric | Next Prime Number
nextprime.vli | Next Prime Number
nthFibonacci | Fibonacci Numbers Tools for vli Objects
nthFibonacci.default | Fibonacci Numbers Tools for vli Objects
nthFibonacci.numeric | Fibonacci Numbers Tools for vli Objects
nthFibonacci.vli | Fibonacci Numbers Tools for vli Objects

## -- P --

perfectpow | Perfect Power Tools for vli Objects
perfectpow.default | Perfect Power Tools for vli Objects
perfectpow.numeric | Perfect Power Tools for vli Objects
perfectpow.vli | Perfect Power Tools for vli Objects
phi | Euler's Phi Function for vli Objects
phi.default | Euler's Phi Function for vli Objects
phi.numeric | Euler's Phi Function for vli Objects
phi.vli | Euler's Phi Function for vli Objects
Pi | Pi Function Approximation for vli Objects
Pi.default | Pi Function Approximation for vli Objects
Pi.numeric | Pi Function Approximation for vli Objects
Pi.vli | Pi Function Approximation for vli Objects
powmod | Basic Modular-Arithmetic Operators for vli Objects
powmod.default | Basic Modular-Arithmetic Operators for vli Objects
powmod.numeric | Basic Modular-Arithmetic Operators for vli Objects
powmod.vli | Basic Modular-Arithmetic Operators for vli Objects
primes | Finding All Primes Up to a Given Bound
primes.default | Finding All Primes Up to a Given Bound
primes.numeric | Finding All Primes Up to a Given Bound
primes.vli | Finding All Primes Up to a Given Bound
primescount | Counting the Number of Primes Up to a Given Bound
primescount.default | Counting the Number of Primes Up to a Given Bound
primescount.numeric | Counting the Number of Primes Up to a Given Bound
primescount.vli | Counting the Number of Primes Up to a Given Bound
print.vli | Very Large Integers Basics

## -- R --

rootk | Integer roots for vli Objects
rootk.default | Integer roots for vli Objects
rootk.numeric | Integer roots for vli Objects
rootk.vli | Integer roots for vli Objects
rootkrem | Integer roots for vli Objects
rootkrem.default | Integer roots for vli Objects
rootkrem.numeric | Integer roots for vli Objects
rootkrem.vli | Integer roots for vli Objects
rvlibin | Random Generators of vli Objects
rvlibin.default | Random Generators of vli Objects
rvlibin.numeric | Random Generators of vli Objects
rvlibin.vli | Random Generators of vli Objects
rvlidigits | Random Generators of vli Objects
rvlinegbin | Random Generators of vli Objects
rvlinegbin.default | Random Generators of vli Objects
rvlinegbin.numeric | Random Generators of vli Objects
rvlinegbin.vli | Random Generators of vli Objects
rvliprime | Random Generators of vli Objects
rvliprime.default | Random Generators of vli Objects
rvliprime.numeric | Random Generators of vli Objects
rvliprime.vli | Random Generators of vli Objects
rvliunif | Random Generators of vli Objects
rvliunif.default | Random Generators of vli Objects
rvliunif.numeric | Random Generators of vli Objects
rvliunif.vli | Random Generators of vli Objects

## -- S --

sqrt.vli | Integer roots for vli Objects
sqrtrem | Integer roots for vli Objects
sqrtrem.default | Integer roots for vli Objects
sqrtrem.numeric | Integer roots for vli Objects
sqrtrem.vli | Integer roots for vli Objects
submod | Basic Modular-Arithmetic Operators for vli Objects
submod.default | Basic Modular-Arithmetic Operators for vli Objects
submod.numeric | Basic Modular-Arithmetic Operators for vli Objects
submod.vli | Basic Modular-Arithmetic Operators for vli Objects
summod | Basic Modular-Arithmetic Operators for vli Objects
summod.default | Basic Modular-Arithmetic Operators for vli Objects
summod.numeric | Basic Modular-Arithmetic Operators for vli Objects
summod.vli | Basic Modular-Arithmetic Operators for vli Objects

## -- V --

vli | Very Large Integers Basics

## -- misc --

!=.vli | Basic Arithmetic and Logical Operators for vli Objects
%%.vli | Basic Arithmetic and Logical Operators for vli Objects
*.vli | Basic Arithmetic and Logical Operators for vli Objects
+.vli | Basic Arithmetic and Logical Operators for vli Objects
-.vli | Basic Arithmetic and Logical Operators for vli Objects
/.vli | Basic Arithmetic and Logical Operators for vli Objects
01. Basics | Very Large Integers Basics
02. Arithmetic and logic | Basic Arithmetic and Logical Operators for vli Objects
03. Roots | Integer roots for vli Objects
04. Logarithms | Integer Logarithms for vli Objects
05. Efficent division by a power of 2 | Efficient Division by a Power of 2
06. Binomial coefficients | Binomial Coefficients for vli Objects
07. Factorial | Factorial of a vli Object
08. Modular-arithmetic | Basic Modular-Arithmetic Operators for vli Objects
09. Greatest common divisor | Greatest Common Divisor for vli Objects
10. Least common multiple | Least Common Multiple for vli Objects
11. Extended Euclidean algorithm | Extended Euclidean Algorithm for vli Objects
12. Perfect power | Perfect Power Tools for vli Objects
13. Legrendre's Formula | Legrendre's Formula for vli Objects
14. Finding a random divisor | Finding a Random Divisor of a vli Object
15. Factorization | Factorization of vli Objects
16. Jacobi Symbol | Computation of the Jacobi Symbol for vli Objects
17. Euler's phi function | Euler's Phi Function for vli Objects
18. Probabilistic primality tests | Probabilistic Primality Tests for vli Objects
19. Finding all primes | Finding All Primes Up to a Given Bound
20. Next prime number | Next Prime Number
21. Pi function | Pi Function Approximation for vli Objects
22. Counting the number of primes | Counting the Number of Primes Up to a Given Bound
23. Fibonacci numbers | Fibonacci Numbers Tools for vli Objects
24. Random generators | Random Generators of vli Objects
25. Counting 1 bits | Counting the Number of 1-Bits in vli Objects
<.vli | Basic Arithmetic and Logical Operators for vli Objects
<=.vli | Basic Arithmetic and Logical Operators for vli Objects
==.vli | Basic Arithmetic and Logical Operators for vli Objects
>.vli | Basic Arithmetic and Logical Operators for vli Objects
>=.vli | Basic Arithmetic and Logical Operators for vli Objects
^.vli | Basic Arithmetic and Logical Operators for vli Objects