integer-gmp-1.0.0.1: Integer library based on GMP

Safe HaskellNone
LanguageHaskell2010

GHC.Integer.Logarithms

Synopsis

Documentation

wordLog2# :: Word# -> Int# #

Compute base-2 log of Word#

This is internally implemented as count-leading-zeros machine instruction.

integerLog2# :: Integer -> Int# #

Calculate the integer base 2 logarithm of an Integer. The calculation is more efficient than for the general case, on platforms with 32- or 64-bit words much more efficient.

The argument must be strictly positive, that condition is not checked.

integerLogBase# :: Integer -> Integer -> Int# #

Calculate the integer logarithm for an arbitrary base.

The base must be greater than 1, the second argument, the number whose logarithm is sought, shall be positive, otherwise the result is meaningless.

The following property holds

base ^ integerLogBase# base m <= m < base ^(integerLogBase# base m + 1)

for base > 1 and m > 0.

Note: Internally uses integerLog2# for base 2