Convert python long/int to fixed size byte array

Question

I'm trying to implement RC4 and DH key exchange in python. Problem is that I have no idea about how to convert the python long/int from the key exchange to the byte array I need for the RC4 implementation. Is there a simple way to convert a long to the required length byte array?

Update: forgot to mention that the numbers I'm dealing with are 768 bit unsigned integers.

Answer 1

long/int to the byte array looks like exact purpose of struct.pack. For long integers that exceed 4(8) bytes, you can come up with something like the next:

>>> limit = 256*256*256*256 - 1
>>> i = 1234567890987654321
>>> parts = []
>>> while i:
        parts.append(i & limit)
        i >>= 32

>>> struct.pack('>' + 'L'*len(parts), *parts )
'\xb1l\x1c\xb1\x11"\x10\xf4'

>>> struct.unpack('>LL', '\xb1l\x1c\xb1\x11"\x10\xf4')
(2976652465L, 287445236)
>>> (287445236L << 32) + 2976652465L
1234567890987654321L

Answer 2

Basically what you need to do is convert the int/long into its base 256 representation -- i.e. a number whose "digits" range from 0-255. Here's a fairly efficient way to do something like that:

def base256_encode(n, minwidth=0): # int/long to byte array
    if n > 0:
        arr = []
        while n:
            n, rem = divmod(n, 256)
            arr.append(rem)
        b = bytearray(reversed(arr))
    elif n == 0:
        b = bytearray(b'\x00')
    else:
        raise ValueError

    if minwidth > 0 and len(b) < minwidth: # zero padding needed?
        b = (minwidth-len(b)) * '\x00' + b
    return b

You many not need thereversed()call depending on the endian-ness desired (doing so would require the padding to be done differently as well). Also note that as written it doesn't handle negative numbers.

You might also want to take a look at the similar but highly optimized long_to_bytes() function in thenumber.pymodule which is part of the open source Python Cryptography Toolkit. It actually converts the number into a string, not a byte array, but that's a minor issue.

Answer 3

With Python 3.2 and later, you can use int.to_bytes and int.from_bytes: https://docs.python.org/3/library/stdtypes.html#int.to_bytes

Answer 4

One-liner:

bytearray.fromhex('{:0192x}'.format(big_int))

The 192 is 768 / 4, because OP wanted 768-bit numbers and there are 4 bits in a hex digit. If you need a bigger bytearray use a format string with a higher number. Example:

>>> big_int = 911085911092802609795174074963333909087482261102921406113936886764014693975052768158290106460018649707059449553895568111944093294751504971131180816868149233377773327312327573120920667381269572962606994373889233844814776702037586419
>>> bytearray.fromhex('{:0192x}'.format(big_int))
bytearray(b'\x96;h^\xdbJ\x8f3obL\x9c\xc2\xb0-\x9e\xa4Sj-\xf6i\xc1\x9e\x97\x94\x85M\x1d\x93\x10\\\x81\xc2\x89\xcd\xe0a\xc0D\x81v\xdf\xed\xa9\xc1\x83p\xdbU\xf1\xd0\xfeR)\xce\x07\xdepM\x88\xcc\x7fv\\\x1c\x8di\x87N\x00\x8d\xa8\xbd[<\xdf\xaf\x13z:H\xed\xc2)\xa4\x1e\x0f\xa7\x92\xa7\xc6\x16\x86\xf1\xf3')
>>> lepi_int = 0x963b685edb4a8f336f624c9cc2b02d9ea4536a2df669c19e9794854d1d93105c81c289cde061c0448176dfeda9c18370db55f1d0fe5229ce07de704d88cc7f765c1c8d69874e008da8bd5b3cdfaf137a3a48edc229a41e0fa792a7c61686f1f
>>> bytearray.fromhex('{:0192x}'.format(lepi_int))
bytearray(b'\tc\xb6\x85\xed\xb4\xa8\xf36\xf6$\xc9\xcc+\x02\xd9\xeaE6\xa2\xdff\x9c\x19\xe9yHT\xd1\xd91\x05\xc8\x1c(\x9c\xde\x06\x1c\x04H\x17m\xfe\xda\x9c\x187\r\xb5_\x1d\x0f\xe5"\x9c\xe0}\xe7\x04\xd8\x8c\xc7\xf7e\xc1\xc8\xd6\x98t\xe0\x08\xda\x8b\xd5\xb3\xcd\xfa\xf17\xa3\xa4\x8e\xdc"\x9aA\xe0\xfay*|aho\x1f')

[My answer had used hex() before. I corrected it with format() in order to handle ints with odd-sized byte expressions. This fixes previous complaints about ValueError.]

Answer 5

You can try using struct:

import struct
struct.pack('L',longvalue)

Answer 6

i = 0x12345678
s = struct.pack('<I',i)
b = struct.unpack('BBBB',s)