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Simple bijective function (base(n) encode/decode) in Python
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# Simple bijective function | |
# Basically encodes any integer into a base(n) string, | |
# where n is ALPHABET.length. | |
# Based on pseudocode from http://stackoverflow.com/questions/742013/how-to-code-a-url-shortener/742047#742047 | |
ALPHABET = list("abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789") | |
# make your own alphabet using: | |
# (('a'..'z').to_a + ('A'..'Z').to_a + (0..9).to_a).shuffle.join | |
def bijective_encode(i): | |
# from http://refactormycode.com/codes/125-base-62-encoding | |
if i == 0: | |
return ALPHABET[0] | |
s = '' | |
base = len(ALPHABET) | |
while i > 0: | |
s += ALPHABET[i % base] | |
i /= base | |
return s[::-1] # reverse string | |
def bijective_decode(s): | |
# based on base2dec() in Tcl translation | |
# at http://rosettacode.org/wiki/Non-decimal_radices/Convert#Ruby | |
i = 0 | |
base = len(ALPHABET) | |
for char in s: | |
i = i * base + ALPHABET.index(char) | |
return i | |
# Two little demos: | |
numbers = 95769 | |
result = bijective_encode(number) | |
print result #xyz | |
letters = 'abc' | |
new_number = bijective_decode(letters) | |
print new_number #66 |
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the 2 demo samples are wrong.