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# Copyright (c) 2010 Guilherme Gondim. All rights reserved. # Copyright (c) 2009 Simon Willison. All rights reserved. # Copyright (c) 2002 Drew Perttula. All rights reserved. # # License: # Python Software Foundation License version 2 # # See the file "LICENSE" for terms & conditions for usage, and a DISCLAIMER OF # ALL WARRANTIES. # # This Baseconv distribution contains no GNU General Public Licensed (GPLed) # code so it may be used in proprietary projects just like prior ``baseconv`` # distributions. # # All trademarks referenced herein are property of their respective holders. # """ Convert numbers from base 10 integers to base X strings and back again. Sample usage:: >>> base20 = BaseConverter('0123456789abcdefghij') >>> base20.encode(1234) '31e' >>> base20.decode('31e') 1234 >>> base20.encode(-1234) '-31e' >>> base20.decode('-31e') -1234 >>> base11 = BaseConverter('0123456789-', sign='$') >>> base11.encode('$1234') '$-22' >>> base11.decode('$-22') '$1234' """ BASE2_ALPHABET = '01' BASE16_ALPHABET = '0123456789ABCDEF' BASE56_ALPHABET = '23456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnpqrstuvwxyz' BASE36_ALPHABET = '0123456789abcdefghijklmnopqrstuvwxyz' BASE62_ALPHABET = '0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz' BASE64_ALPHABET = BASE62_ALPHABET + '-_' class BaseConverter: decimal_digits = '0123456789' def __init__(self, digits, sign='-'): self.sign = sign self.digits = digits if sign in self.digits: raise ValueError('Sign character found in converter base digits.') def __repr__(self): return "<%s: base%s (%s)>" % (self.__class__.__name__, len(self.digits), self.digits) def encode(self, i): neg, value = self.convert(i, self.decimal_digits, self.digits, '-') if neg: return self.sign + value return value def decode(self, s): neg, value = self.convert(s, self.digits, self.decimal_digits, self.sign) if neg: value = '-' + value return int(value) def convert(self, number, from_digits, to_digits, sign): if str(number)[0] == sign: number = str(number)[1:] neg = 1 else: neg = 0 # make an integer out of the number x = 0 for digit in str(number): x = x * len(from_digits) + from_digits.index(digit) # create the result in base 'len(to_digits)' if x == 0: res = to_digits[0] else: res = '' while x > 0: digit = x % len(to_digits) res = to_digits[digit] + res x = int(x // len(to_digits)) return neg, res base2 = BaseConverter(BASE2_ALPHABET) base16 = BaseConverter(BASE16_ALPHABET) base36 = BaseConverter(BASE36_ALPHABET) base56 = BaseConverter(BASE56_ALPHABET) base62 = BaseConverter(BASE62_ALPHABET) base64 = BaseConverter(BASE64_ALPHABET, sign='$')