Factory.Math.Radix

AUTHOR

Dr. Alistair Ward

DESCRIPTION

Facilitates representation of Integral values in alternative Integral bases.

Constants

Functions

digitSum :: (Ix decimal, Integral base, Integral decimal, Show base, Show decimal) => base -> decimal -> decimal

• http://mathworld.wolfram.com/DigitSum.html.
• http://en.wikipedia.org/wiki/Digit_sum.

digitalRoot :: (Ix decimal, Integral decimal, Show decimal) => decimal -> decimal

http://en.wikipedia.org/wiki/Digital_root.

fromBase :: (Integral base, Integral decimal, Read decimal, Show base) => base -> String -> decimal

• Convert the String-representation of a number in the specified base, to a decimal integer.
• Both negative numbers and negative bases are permissible.

toBase :: (Ix decimal, Integral base, Integral decimal, Show base, Show decimal) => base -> decimal -> String

• Convert the specified integral decimal quantity, to an alternative base, and represent the result as a String.
• Both negative decimals and negative bases are permissible.
• The conversion to Char can only succeed where printable and intelligible characters exist to represent all digits in the chosen base; which in practice means (-36 <= base <= 36).