Store and Operate with Arbitrarily Large Integers
![[R logo]](../../../doc/html/Rlogo.svg)
![[Up]](../../../doc/html/left.jpg)
![[Top]](../../../doc/html/up.jpg)
Documentation for package ‘VeryLargeIntegers’ version 0.1.9
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 |
| 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 |