BaseN

Convert between bases using arbitrary, unique Positional Numeral Systems

Usage:

To illustrate simple usage, see Hex examples:

Hexadecimal

>>> import BaseN
>>> hexadecimal = '0123456789abcdef'

# 19 (decimal) == 13 (hex)
>>> BaseN.DecToBaseN('19', hexadecimal)
'13'
>>> BaseN.BaseNToDec('13', hexadecimal)
'19'

# afe (hex) == 
>>> BaseN.BaseNToDec('afe', hexadecimal)
'2814'
>>> BaseN.DecToBaseN('2814', hexadecimal)
'afe'

Complex Symbol Sets

The main purpose of this module is to support complex symbol sets. For example, consider the digit set of all unreserved URL symbols (per RFC 3986 section 2.3):

>>> import BaseN
>>> DIGIT_SET = '0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ_.-~'

>>> BaseN.DecToBaseN('68', DIGIT_SET)
'12'
>>> BaseN.BaseNToDec('12', DIGIT_SET)
'68'

>>> BaseN.BaseNToDec('afe', DIGIT_SET)
'44564'
>>> BaseN.DecToBaseN('44564', DIGIT_SET)
'afe'

>>> BaseN.BaseNToDec('o9~.p', DIGIT_SET)
'458268451'
>>> BaseN.DecToBaseN('458268451', DIGIT_SET)
'o9~.p'