VeryLargeIntegers (version 0.2.1)

03. Roots: Integer roots for vli Objects

Description

Computation of integer roots and their remainders of vli (Very Large Integers) objects. Functions sqrt and rootk returns respectively the integer square root and the integer k-th root of the given value. Functions sqrtrem and rootkrem returns the corresponding remainder.

Usage

# S3 method for vli
sqrt(x)
sqrtrem(x)
# S3 method for default
sqrtrem(x)
# S3 method for numeric
sqrtrem(x)
# S3 method for vli
sqrtrem(x)
rootk(x, k)
# S3 method for default
rootk(x, k)
# S3 method for numeric
rootk(x, k)
# S3 method for vli
rootk(x, k)
rootkrem(x, k)
# S3 method for default
rootkrem(x, k)
# S3 method for numeric
rootkrem(x, k)
# S3 method for vli
rootkrem(x, k)

Value

object of class vli

Arguments

x

base of the root; object of class vli or 32 bits integer

k

index of the root; object of class vli or 32 bits integer

Author

Javier Leiva Cuadrado

Examples

x <- as.vli("4124135")
sqrt(x)
sqrtrem(x)
sqrt(x)^2 + sqrtrem(x) == x
if (FALSE) {
rootk(as.vli("1492346293864978561249785"), 5)
}