CRC-CCITT 16-bit Python Manual Calculation

Question

Problem

I am writing code for an embedded device. A lot of solutions out there for CRC-CCITT 16-bit calculations require libraries.

Given that using libraries is almost impossible and a drain on its resources, a function is required.

Possible Solution

The following CRC calculation was found online. However, its implementation is incorrect.

http://bytes.com/topic/python/insights/887357-python-check-crc-frame-crc-16-ccitt

def checkCRC(message):
    #CRC-16-CITT poly, the CRC sheme used by ymodem protocol
    poly = 0x11021
    #16bit operation register, initialized to zeros
    reg = 0xFFFF
    #pad the end of the message with the size of the poly
    message += '\x00\x00' 
    #for each bit in the message
    for byte in message:
        mask = 0x80
        while(mask > 0):
            #left shift by one
            reg<<=1
            #input the next bit from the message into the right hand side of the op reg
            if ord(byte) & mask:   
                reg += 1
            mask>>=1
            #if a one popped out the left of the reg, xor reg w/poly
            if reg > 0xffff:            
                #eliminate any one that popped out the left
                reg &= 0xffff           
                #xor with the poly, this is the remainder
                reg ^= poly
    return reg

Existing Online Solution

The following link calculates a 16 bit CRC correctly.

http://www.lammertbies.nl/comm/info/crc-calculation.html#intr

The result under "CRC-CCITT (XModem)" is the correct CRC.

Specification

I believe the "CRC-CCITT (XModem)" calculation in the existing online solution uses a polynomial of 0x1021.

Question

If someone could write a new function or provide direction to solve the checkCRC function to the required specification. Please note that the use of libraries or any import's would not help.

Solution 1

Here is a python port of the C library from http://www.lammertbies.nl/comm/info/crc-calculation.html for CRC-CCITT XMODEM

This library is interesting for real use cases because it pre-computes a table of crc for enhanced speed.

Usage (with a string or a list of bytes) :

crc('123456789')
crcb(0x31, 0x32, 0x33, 0x34, 0x35, 0x36, 0x37, 0x38, 0x39)

The test gives : '0x31c3'

POLYNOMIAL = 0x1021
PRESET = 0

def _initial(c):
    crc = 0
    c = c << 8
    for j in range(8):
        if (crc ^ c) & 0x8000:
            crc = (crc << 1) ^ POLYNOMIAL
        else:
            crc = crc << 1
        c = c << 1
    return crc

_tab = [ _initial(i) for i in range(256) ]

def _update_crc(crc, c):
    cc = 0xff & c

    tmp = (crc >> 8) ^ cc
    crc = (crc << 8) ^ _tab[tmp & 0xff]
    crc = crc & 0xffff
    print (crc)

    return crc

def crc(str):
    crc = PRESET
    for c in str:
        crc = _update_crc(crc, ord(c))
    return crc

def crcb(*i):
    crc = PRESET
    for c in i:
        crc = _update_crc(crc, c)
    return crc

Your proposed checkCRC routine is CRC-CCITT variant '1D0F' if you replace poly = 0x11021 with poly = 0x1021 at the beginning.

Solution 2

Here's a function that I use:

def crc16_ccitt(crc, data):
    msb = crc >> 8
    lsb = crc & 255
    for c in data:
        x = ord(c) ^ msb
        x ^= (x >> 4)
        msb = (lsb ^ (x >> 3) ^ (x << 4)) & 255
        lsb = (x ^ (x << 5)) & 255
    return (msb << 8) + lsb

Solution 3

The original function, checkCRC, can also do "CRC-CCITT (XModem)".

Just set:

poly = 0x1021
reg = 0

Instead of

poly = 0x11021
reg = 0xFFFF