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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) 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): if i & 1: i >>= 1 i ^= poly else: i >>= 1 table.append(i) assert len(table) == 256, "table is wrong size" if reverse: table_reverse = [] found_none = set() found_multiple = set() for i in range(256): found = [] for j in range(256): if table[j] >> 24 == i: found.append(j) table_reverse.append(tuple(found)) if not found: found_none.add(i) elif len(found) > 1: found_multiple.add(i) assert len(table_reverse) == 256, "reverse table is wrong size" if found_multiple: out('WARNING: Multiple table entries have an MSB in {0}'.format( rangess(found_multiple))) if found_none: out('ERROR: no MSB in the table equals bytes in {0}'.format( rangess(found_none)))
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
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
if hasattr(int, "bit_length"): def bit_length(num): return num.bit_length() else: def bit_length(n): if n == 0: return 0 bits = -32 m = 0 while n: m = n n >>= 32 bits += 32 while m: m >>= 1 bits += 1 return bits
def check32(poly): if poly & 0x80000000 == 0: out('WARNING: polynomial degree ({0}) != 32'.format(bit_length(poly))) out(' instead, try') out(' 0x{0:08x} (reversed/lsbit-first)'.format(poly | 0x80000000)) out(' 0x{0:08x} (normal/msbit-first)'.format(reverseBits(poly | 0x80000000)))
def reciprocal(poly): ''' Return the reversed reciprocal (Koopman notatation) polynomial of a reversed (lsbit-first) polynomial ''' return reverseBits((poly << 1) | 1)
def print_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") subparsers = parser.add_subparsers(metavar='action')
poly_flip_parser = argparse.ArgumentParser(add_help=False) subparser_group = poly_flip_parser.add_mutually_exclusive_group() subparser_group.add_argument( '-m', '--msbit', dest="msb", action='store_true', help='treat the polynomial as normal (msbit-first)') subparser_group.add_argument('-l', '--lsbit', action='store_false', help='treat the polynomial as reversed (lsbit-first) [default]')
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]')
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]')
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")
subparser = subparsers.add_parser('flip', parents=[outfile_parser], help="flip the bits to convert normal(msbit-first) polynomials to reversed (lsbit-first) and vice versa") subparser.add_argument('poly', type=str, help='[int] polynomial') subparser.set_defaults( func=lambda: print_num(reverseBits(parse_dword(args.poly))))
subparser = subparsers.add_parser('reciprocal', parents=[outfile_parser], help="find the reciprocal (Koopman notation) of a reversed (lsbit-first) polynomial and vice versa") subparser.add_argument('poly', type=str, help='[int] polynomial') subparser.set_defaults(func=reciprocal_callback)
subparser = subparsers.add_parser('table', parents=[outfile_parser, poly_flip_parser, default_poly_parser], help="generate a lookup table for a polynomial") subparser.set_defaults(func=table_callback)
subparser = subparsers.add_parser('reverse', parents=[ outfile_parser, poly_flip_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', parents=[ outfile_parser, poly_flip_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', parents=[ outfile_parser, poly_flip_parser, default_accum_parser, default_poly_parser, infile_parser], help="calculate the CRC32 checksum") subparser.set_defaults(func=calc_callback)
return parser
def reciprocal_callback(): poly = parse_dword(args.poly) check32(poly) print_num(reciprocal(poly))
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: out('4 bytes: {{0x{0:02x}, 0x{1:02x}, 0x{2:02x}, 0x{3:02x}}}'.format(*patch)) checksum = calc(patch, accum) out('verification checksum: 0x{0:08x} ({1})'.format( checksum, 'OK' if checksum == desired else 'ERROR')) for i in permitted_characters: for j in permitted_characters: patch = [i, j] patches = findReverse(desired, calc(patch, accum)) for last_4_bytes in patches: if all(p in permitted_characters for p in last_4_bytes): patch.extend(last_4_bytes) out('alternative: {1}{2}{3}{4}{5}{6} ({0})'.format( 'OK' if calc(patch, accum) == desired else 'ERROR', *map(chr, patch)))
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('') print_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('') print_num(calc(data, accum))
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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