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| Python
import argparse import os import sys
permitted_characters = set( map(ord, 'abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ01234567890_-'))
testing = False
args = None
def get_poly(): poly = parse_dword(args.poly) if args.msb: poly = reverseBits(poly) if args.reciprocal: poly = reverseBits(reciprocal(poly)) check32(poly) return poly
def get_input(): if args.instr: return tuple(map(ord, args.instr)) with args.infile as f: return tuple(map(ord, f.read()))
def out(msg): if not testing: args.outfile.write(msg) args.outfile.write(os.linesep)
table = [] table_reverse = []
def init_tables(poly, reverse=True): global table, table_reverse table = [] for i in range(256): for j in range(8): i = (i >> 1) ^ (poly & -(i & 1)) table.append(i) if reverse: table_reverse = [] for i in range(256): found = [] for j in range(256): if table[j] >> 24 == i: found.append(j) table_reverse.append(tuple(found))
def calc(data, accum=0): accum = ~accum for b in data: accum = table[(accum ^ b) & 0xFF] ^ ((accum >> 8) & 0x00FFFFFF) accum = ~accum return accum & 0xFFFFFFFF
def rewind(accum, data): if not data: return (accum,) stack = [(len(data), ~accum)] solutions = set() while stack: node = stack.pop() prev_offset = node[0] - 1 for i in table_reverse[(node[1] >> 24) & 0xFF]: prevCRC = (((node[1] ^ table[i]) << 8) | (i ^ data[prev_offset])) & 0xFFFFFFFF if prev_offset: stack.append((prev_offset, prevCRC)) else: solutions.add((~prevCRC) & 0xFFFFFFFF) return solutions
def findReverse(desired, accum): solutions = set() accum = ~accum stack = [(~desired,)] while stack: node = stack.pop() for j in table_reverse[(node[0] >> 24) & 0xFF]: if len(node) == 4: a = accum data = [] node = node[1:] + (j,) for i in range(3, -1, -1): data.append((a ^ node[i]) & 0xFF) a >>= 8 a ^= table[node[i]] solutions.add(tuple(data)) else: stack.append(((node[0] ^ table[j]) << 8,) + node[1:] + (j,)) return solutions
class Matrix: def __init__(self, matrix): self.matrix = matrix
@staticmethod def identity(): return Matrix(tuple(1 << i for i in range(32)))
@staticmethod def zero_operator(poly): m = [poly] n = 1 for _ in range(31): m.append(n) n <<= 1 return Matrix(tuple(m))
def multiply_vector(self, v, s = 0): for c in self.matrix: s ^= c & -(v & 1) v >>= 1 if not v: break return s
def mul(self, matrix): return Matrix(tuple(map(self.multiply_vector, matrix.matrix)))
def combine(c1, c2, l2, n, poly):
m = Matrix.zero_operator(poly) m = m.mul(m) m = m.mul(m)
M = Matrix.identity() while l2: m = m.mul(m) if l2 & 1: M = m.mul(M) l2 >>= 1
b = c2 while True: if n & 1: c1 = M.multiply_vector(c1, b)
n >>= 1 if not n: break
b = M.multiply_vector(b, b) M = M.mul(M)
return c1
def parse_dword(x): return int(x, 0) & 0xFFFFFFFF
def reverseBits(x): x = ((x & 0x55555555) << 1) | ((x & 0xAAAAAAAA) >> 1) x = ((x & 0x33333333) << 2) | ((x & 0xCCCCCCCC) >> 2) x = ((x & 0x0F0F0F0F) << 4) | ((x & 0xF0F0F0F0) >> 4) x = ((x & 0x00FF00FF) << 8) | ((x & 0xFF00FF00) >> 8) x = ((x & 0x0000FFFF) << 16) | ((x & 0xFFFF0000) >> 16) return x & 0xFFFFFFFF
def check32(poly): if poly & 0x80000000 == 0: suggested = poly | 0x80000000 out('WARNING: polynomial degree ({0}) != 32'.format(poly.bit_length())) out(' instead, try') out(' 0x{0:08x} (reversed/lsbit-first)'.format(suggested)) out(' 0x{0:08x} (normal/msbit-first)'.format(reverseBits(suggested)))
def reciprocal(poly): ''' Return the reciprocal polynomial of a reversed (lsbit-first) polynomial. ''' return poly << 1 & 0xffffffff | 1
def out_num(num): ''' Write a numeric result in various forms ''' out('hex: 0x{0:08x}'.format(num)) out('dec: {0:d}'.format(num)) out('oct: 0o{0:011o}'.format(num)) out('bin: 0b{0:032b}'.format(num))
import itertools
def ranges(i): for kg in itertools.groupby(enumerate(i), lambda x: x[1] - x[0]): g = list(kg[1]) yield g[0][1], g[-1][1]
def rangess(i): return ', '.join(map(lambda x: '[{0},{1}]'.format(*x), ranges(i)))
def get_parser(): ''' Return the command-line parser ''' parser = argparse.ArgumentParser( description="Reverse, undo, and calculate CRC32 checksums")
desired_poly_parser = argparse.ArgumentParser(add_help=False) desired_poly_parser.add_argument( 'desired', type=str, help='[int] desired checksum')
default_poly_parser = argparse.ArgumentParser(add_help=False) default_poly_parser.add_argument( 'poly', default='0xEDB88320', type=str, nargs='?', help='[int] polynomial [default: 0xEDB88320]') subparser_group = default_poly_parser.add_mutually_exclusive_group() subparser_group.add_argument( '-m', '--msbit', '--normal', dest='msb', action='store_true', help='treat the polynomial as normal (msbit-first)') subparser_group.add_argument( '-l', '--lsbit', '--reversed', action='store_false', help='treat the polynomial as reversed (lsbit-first) [default]') default_poly_parser.add_argument( '-r', '--reciprocal', action='store_true', help='treat the polynomial as reciprocal (Koopman notation is reversed reciprocal)')
accum_parser = argparse.ArgumentParser(add_help=False) accum_parser.add_argument( 'accum', type=str, help='[int] accumulator (final checksum)')
default_accum_parser = argparse.ArgumentParser(add_help=False) default_accum_parser.add_argument( 'accum', default='0', type=str, nargs='?', help='[int] starting accumulator [default: 0]')
combine_parser = argparse.ArgumentParser(add_help=False) combine_parser.add_argument( 'accum', type=str, help='[int] accumulator (initial checksum)') combine_parser.add_argument( 'checksum', type=str, help='[int] checksum of message') combine_parser.add_argument( 'len', type=str, help='[int] length of message') combine_parser.add_argument( 'n', default='1', type=str, nargs='?', help='[int] number of times to append message [default: 1]')
outfile_parser = argparse.ArgumentParser(add_help=False) outfile_parser.add_argument( '-o', '--outfile', metavar="f", type=argparse.FileType('w'), default=sys.stdout, help="Output to a file instead of stdout")
infile_parser = argparse.ArgumentParser(add_help=False) subparser_group = infile_parser.add_mutually_exclusive_group() subparser_group.add_argument( '-i', '--infile', metavar="f", type=argparse.FileType('rb'), default=sys.stdin, help="Input from a file instead of stdin") subparser_group.add_argument( '-s', '--str', metavar="s", type=str, default='', dest='instr', help="Use a string as input")
subparsers = parser.add_subparsers(required=True, metavar='action') subparser = subparsers.add_parser( 'poly', aliases=['p'], parents=[outfile_parser, default_poly_parser], help="print the polynomial, useful for converting between forms") subparser.set_defaults(func=poly_callback)
subparser = subparsers.add_parser( 'table', aliases=['t'], parents=[outfile_parser, default_poly_parser], help="generate a lookup table for a polynomial") subparser.set_defaults(func=table_callback)
subparser = subparsers.add_parser( 'reverse', aliases=['r'], parents=[ outfile_parser, desired_poly_parser, default_accum_parser, default_poly_parser], help="find a patch that causes the CRC32 checksum to become a desired value") subparser.set_defaults(func=reverse_callback)
subparser = subparsers.add_parser( 'undo', aliases=['u'], parents=[ outfile_parser, accum_parser, default_poly_parser, infile_parser], help="rewind a CRC32 checksum") subparser.add_argument( '-n', '--len', metavar='l', type=str, default='0', help='[int] number of bytes to rewind [default: 0]') subparser.set_defaults(func=undo_callback)
subparser = subparsers.add_parser( 'calc', aliases=['c'], parents=[ outfile_parser, default_accum_parser, default_poly_parser, infile_parser], help="calculate the CRC32 checksum") subparser.set_defaults(func=calc_callback)
subparser = subparsers.add_parser( 'combine', parents=[ outfile_parser, combine_parser, default_poly_parser], help="combine CRC32 checksums") subparser.set_defaults(func=combine_callback)
return parser
def poly_callback(): poly = get_poly() out('Reversed (lsbit-first)') out_num(poly) out('Normal (msbit-first)') out_num(reverseBits(poly)) r = reciprocal(poly) out('Reversed reciprocal (Koopman notation)') out_num(reverseBits(r)) out('Reciprocal') out_num(r)
def table_callback(): init_tables(get_poly(), False) out('[{0}]'.format(', '.join(map('0x{0:08x}'.format, table))))
def reverse_callback(): init_tables(get_poly()) desired = parse_dword(args.desired) accum = parse_dword(args.accum) patches = findReverse(desired, accum) for patch in patches: text = '' if all(p in permitted_characters for p in patch): text = '{}{}{}{} '.format(*map(chr, patch)) out('4 bytes: {}{{0x{:02x}, 0x{:02x}, 0x{:02x}, 0x{:02x}}}'.format(text, *patch)) checksum = calc(patch, accum) out('verification checksum: 0x{:08x} ({})'.format( checksum, 'OK' if checksum == desired else 'ERROR'))
def print_permitted_reverse(patch): patches = findReverse(desired, calc(patch, accum)) for last_4_bytes in patches: if all(p in permitted_characters for p in last_4_bytes): patch2 = patch + last_4_bytes out('{} bytes: {} ({})'.format( len(patch2), ''.join(map(chr, patch2)), 'OK' if calc(patch2, accum) == desired else 'ERROR'))
for i in permitted_characters: print_permitted_reverse((i,)) for i in permitted_characters: for j in permitted_characters: print_permitted_reverse((i, j))
def undo_callback(): init_tables(get_poly()) accum = parse_dword(args.accum) maxlen = int(args.len, 0) data = get_input() if not 0 < maxlen <= len(data): maxlen = len(data) out('rewinded {0}/{1} ({2:.2f}%)'.format(maxlen, len(data), maxlen * 100.0 / len(data) if len(data) else 100)) for solution in rewind(accum, data[-maxlen:]): out('') out_num(solution)
def calc_callback(): init_tables(get_poly(), False) accum = parse_dword(args.accum) data = get_input() out('data len: {0}'.format(len(data))) out('') out_num(calc(data, accum))
def combine_callback(): c1 = parse_dword(args.accum) c2 = parse_dword(args.checksum) l2 = parse_dword(args.len) n = int(args.n, 0)
out_num(combine(c1, c2, l2, n, get_poly()))
def main(argv=None): ''' Runs the program and handles command line options ''' parser = get_parser()
global args args = parser.parse_args(argv) args.func()
if __name__ == '__main__': main()
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