04. Logarithms {VeryLargeIntegers}

Integer Logarithms for vli Objects

Description

Computation of integer logarithms and their remainders for objects of class vli.

Functions log, log10 and loge return respectively the integer generalized logarithm, the integer base-10 logarithm and the integer natural logarithm of the given values. Functions logrem and log10rem returns the corresponding remainder.

Usage

## S3 method for class 'vli'
log10(x)

log10rem(x)

## Default S3 method:
log10rem(x)

## S3 method for class 'numeric'
log10rem(x)

## S3 method for class 'vli'
log10rem(x)

## S3 method for class 'vli'
log(x, base)

logrem(x, base)

## Default S3 method:
logrem(x, base)

## S3 method for class 'numeric'
logrem(x, base)

## S3 method for class 'vli'
logrem(x, base)

loge(x)

## Default S3 method:
loge(x)

## S3 method for class 'numeric'
loge(x)

## S3 method for class 'vli'
loge(x)

Arguments

x

object of class vli or 32 bits integer

base

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

Value

object of class vli

Author(s)

Javier Leiva Cuadrado

Examples

x <- as.vli("3873899469432")
log(x, base = 5)
logrem(x, base = 5)
( 5^log(x, base = 5) ) + logrem(x, base = 5) == x
x <- as.vli("149234629386497858748773210293261249785")
log10(x)