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MD5.py
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MD5.py
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# dspbptk - Dyson Sphere Program Blueprint Toolkit
# Copyright (C) 2021-2021 Johannes Bauer
#
# This file is part of dspbptk.
#
# dspbptk is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; this program is ONLY licensed under
# version 3 of the License, later versions are explicitly excluded.
#
# dspbptk is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see <https://www.gnu.org/licenses/>.
#
# Johannes Bauer <JohannesBauer@gmx.de>
import re
import math
import collections
import enum
class DysonSphereMD5():
class Variant(enum.IntEnum):
Original = 0
MD5F = 1
MD5FC = 2
def _f(x, y, z):
return (x & y) | (~x & z)
def _g(x, y, z):
return (x & z) | (y & ~z)
def _h(x, y, z):
return x ^ y ^ z
def _i(x, y, z):
return y ^ (x | ~z)
@staticmethod
def _rol(x, s):
return ((x << s) | (x >> (32 - s))) & 0xffffffff
_RoundOp = collections.namedtuple("RoundOp", [ "a", "b", "c", "d", "k", "s", "i", "T", "op" ])
_ROUND_OPS = [
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 0, s = 7, i = 1, T = 0xd76aa478, op = _f),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 1, s = 12, i = 2, T = 0xe8c7b756, op = _f),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 2, s = 17, i = 3, T = 0x242070db, op = _f),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 3, s = 22, i = 4, T = 0xc1bdceee, op = _f),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 4, s = 7, i = 5, T = 0xf57c0faf, op = _f),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 5, s = 12, i = 6, T = 0x4787c62a, op = _f),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 6, s = 17, i = 7, T = 0xa8304613, op = _f),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 7, s = 22, i = 8, T = 0xfd469501, op = _f),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 8, s = 7, i = 9, T = 0x698098d8, op = _f),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 9, s = 12, i = 10, T = 0x8b44f7af, op = _f),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 10, s = 17, i = 11, T = 0xffff5bb1, op = _f),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 11, s = 22, i = 12, T = 0x895cd7be, op = _f),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 12, s = 7, i = 13, T = 0x6b901122, op = _f),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 13, s = 12, i = 14, T = 0xfd987193, op = _f),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 14, s = 17, i = 15, T = 0xa679438e, op = _f),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 15, s = 22, i = 16, T = 0x49b40821, op = _f),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 1, s = 5, i = 17, T = 0xf61e2562, op = _g),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 6, s = 9, i = 18, T = 0xc040b340, op = _g),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 11, s = 14, i = 19, T = 0x265e5a51, op = _g),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 0, s = 20, i = 20, T = 0xe9b6c7aa, op = _g),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 5, s = 5, i = 21, T = 0xd62f105d, op = _g),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 10, s = 9, i = 22, T = 0x2441453, op = _g),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 15, s = 14, i = 23, T = 0xd8a1e681, op = _g),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 4, s = 20, i = 24, T = 0xe7d3fbc8, op = _g),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 9, s = 5, i = 25, T = 0x21e1cde6, op = _g),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 14, s = 9, i = 26, T = 0xc33707d6, op = _g),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 3, s = 14, i = 27, T = 0xf4d50d87, op = _g),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 8, s = 20, i = 28, T = 0x455a14ed, op = _g),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 13, s = 5, i = 29, T = 0xa9e3e905, op = _g),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 2, s = 9, i = 30, T = 0xfcefa3f8, op = _g),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 7, s = 14, i = 31, T = 0x676f02d9, op = _g),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 12, s = 20, i = 32, T = 0x8d2a4c8a, op = _g),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 5, s = 4, i = 33, T = 0xfffa3942, op = _h),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 8, s = 11, i = 34, T = 0x8771f681, op = _h),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 11, s = 16, i = 35, T = 0x6d9d6122, op = _h),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 14, s = 23, i = 36, T = 0xfde5380c, op = _h),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 1, s = 4, i = 37, T = 0xa4beea44, op = _h),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 4, s = 11, i = 38, T = 0x4bdecfa9, op = _h),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 7, s = 16, i = 39, T = 0xf6bb4b60, op = _h),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 10, s = 23, i = 40, T = 0xbebfbc70, op = _h),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 13, s = 4, i = 41, T = 0x289b7ec6, op = _h),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 0, s = 11, i = 42, T = 0xeaa127fa, op = _h),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 3, s = 16, i = 43, T = 0xd4ef3085, op = _h),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 6, s = 23, i = 44, T = 0x4881d05, op = _h),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 9, s = 4, i = 45, T = 0xd9d4d039, op = _h),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 12, s = 11, i = 46, T = 0xe6db99e5, op = _h),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 15, s = 16, i = 47, T = 0x1fa27cf8, op = _h),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 2, s = 23, i = 48, T = 0xc4ac5665, op = _h),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 0, s = 6, i = 49, T = 0xf4292244, op = _i),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 7, s = 10, i = 50, T = 0x432aff97, op = _i),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 14, s = 15, i = 51, T = 0xab9423a7, op = _i),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 5, s = 21, i = 52, T = 0xfc93a039, op = _i),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 12, s = 6, i = 53, T = 0x655b59c3, op = _i),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 3, s = 10, i = 54, T = 0x8f0ccc92, op = _i),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 10, s = 15, i = 55, T = 0xffeff47d, op = _i),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 1, s = 21, i = 56, T = 0x85845dd1, op = _i),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 8, s = 6, i = 57, T = 0x6fa87e4f, op = _i),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 15, s = 10, i = 58, T = 0xfe2ce6e0, op = _i),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 6, s = 15, i = 59, T = 0xa3014314, op = _i),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 13, s = 21, i = 60, T = 0x4e0811a1, op = _i),
_RoundOp(a = 0, b = 1, c = 2, d = 3, k = 4, s = 6, i = 61, T = 0xf7537e82, op = _i),
_RoundOp(a = 3, b = 0, c = 1, d = 2, k = 11, s = 10, i = 62, T = 0xbd3af235, op = _i),
_RoundOp(a = 2, b = 3, c = 0, d = 1, k = 2, s = 15, i = 63, T = 0x2ad7d2bb, op = _i),
_RoundOp(a = 1, b = 2, c = 3, d = 0, k = 9, s = 21, i = 64, T = 0xeb86d391, op = _i),
]
_ROUND_OP_PATCHES = {
Variant.MD5F: {
1: _RoundOp(a = 3, b = 0, c = 1, d = 2, k = 1, s = 12, i = 2, T = 0xe8d7b756, op = _f),
6: _RoundOp(a = 2, b = 3, c = 0, d = 1, k = 6, s = 17, i = 7, T = 0xa8304623, op = _f),
12: _RoundOp(a = 0, b = 1, c = 2, d = 3, k = 12, s = 7, i = 13, T = 0x6b9f1122, op = _f),
15: _RoundOp(a = 1, b = 2, c = 3, d = 0, k = 15, s = 22, i = 16, T = 0x39b40821, op = _f),
19: _RoundOp(a = 1, b = 2, c = 3, d = 0, k = 0, s = 20, i = 20, T = 0xc9b6c7aa, op = _g),
21: _RoundOp(a = 3, b = 0, c = 1, d = 2, k = 10, s = 9, i = 22, T = 0x2443453, op = _g),
24: _RoundOp(a = 0, b = 1, c = 2, d = 3, k = 9, s = 5, i = 25, T = 0x21f1cde6, op = _g),
27: _RoundOp(a = 1, b = 2, c = 3, d = 0, k = 8, s = 20, i = 28, T = 0x475a14ed, op = _g),
},
Variant.MD5FC: {
1: _RoundOp(a = 3, b = 0, c = 1, d = 2, k = 1, s = 12, i = 2, T = 0xe8d7b756, op = _f),
3: _RoundOp(a = 1, b = 2, c = 3, d = 0, k = 3, s = 22, i = 4, T = 0xc1bdceef, op = _f),
6: _RoundOp(a = 2, b = 3, c = 0, d = 1, k = 6, s = 17, i = 7, T = 0xa8304623, op = _f),
12: _RoundOp(a = 0, b = 1, c = 2, d = 3, k = 12, s = 7, i = 13, T = 0x6b9f1122, op = _f),
15: _RoundOp(a = 1, b = 2, c = 3, d = 0, k = 15, s = 22, i = 16, T = 0x39b40821, op = _f),
19: _RoundOp(a = 1, b = 2, c = 3, d = 0, k = 0, s = 20, i = 20, T = 0xc9b6c7aa, op = _g),
21: _RoundOp(a = 3, b = 0, c = 1, d = 2, k = 10, s = 9, i = 22, T = 0x2443453, op = _g),
24: _RoundOp(a = 0, b = 1, c = 2, d = 3, k = 9, s = 5, i = 25, T = 0x23f1cde6, op = _g),
27: _RoundOp(a = 1, b = 2, c = 3, d = 0, k = 8, s = 20, i = 28, T = 0x475a14ed, op = _g),
34: _RoundOp(a = 2, b = 3, c = 0, d = 1, k = 11, s = 16, i = 35, T = 0x6d9d6121, op = _h),
},
}
_INIT_VALUES = {
Variant.Original: (
int.from_bytes(bytes.fromhex("01 23 45 67"), byteorder = "little"),
int.from_bytes(bytes.fromhex("89 ab cd ef"), byteorder = "little"),
int.from_bytes(bytes.fromhex("fe dc ba 98"), byteorder = "little"),
int.from_bytes(bytes.fromhex("76 54 32 10"), byteorder = "little"),
),
Variant.MD5F: (
int.from_bytes(bytes.fromhex("01 23 45 67"), byteorder = "little"),
int.from_bytes(bytes.fromhex("89 ab dc ef"), byteorder = "little"),
int.from_bytes(bytes.fromhex("fe dc ba 98"), byteorder = "little"),
int.from_bytes(bytes.fromhex("46 57 32 10"), byteorder = "little"),
),
Variant.MD5FC: (
int.from_bytes(bytes.fromhex("01 23 45 67"), byteorder = "little"),
int.from_bytes(bytes.fromhex("89 ab dc ef"), byteorder = "little"),
int.from_bytes(bytes.fromhex("fe dc ba 98"), byteorder = "little"),
int.from_bytes(bytes.fromhex("46 57 32 10"), byteorder = "little"),
),
}
def __init__(self, variant = Variant.Original):
(self._a, self._b, self._c, self._d) = self._INIT_VALUES[variant]
self._buffer = bytearray()
self._digest = None
self._length = 0
self._patches = self._ROUND_OP_PATCHES.get(variant, { })
def _update_block(self, block):
assert(len(block) == 64)
state = [ self._a, self._b, self._c, self._d ]
x = [ int.from_bytes(block[4 * i : 4 * (i + 1)], byteorder = "little") for i in range(16) ]
for (i, round_op) in enumerate(self._ROUND_OPS):
if i in self._patches:
round_op = self._patches[i]
a = state[round_op.a]
b = state[round_op.b]
c = state[round_op.c]
d = state[round_op.d]
state[round_op.a] = b + self._rol((a + round_op.op(b, c, d) + x[round_op.k] + round_op.T) & 0xffffffff, round_op.s)
self._a = (self._a + state[0]) & 0xffffffff
self._b = (self._b + state[1]) & 0xffffffff
self._c = (self._c + state[2]) & 0xffffffff
self._d = (self._d + state[3]) & 0xffffffff
def _update(self, data, count_length = True):
assert(self._digest is None)
if count_length:
self._length += len(data)
self._buffer += data
while len(self._buffer) >= 64:
block = self._buffer[:64]
self._buffer = self._buffer[64:]
self._update_block(block)
return self
def update(self, data):
return self._update(data)
def _finalize(self):
if self._digest is not None:
return
# Add padding
padding_len = (64 - (self._length % 64) - 8) % 64
if padding_len == 0:
padding_len = 64
self._update(bytes([ 0x80 ]), count_length = False)
self._update(bytes([ 0 ] * (padding_len - 1)), count_length = False)
# Add length
length_bits = int.to_bytes(self._length * 8, length = 8, byteorder = "little")
self._update(length_bits, count_length = False)
# Concatenate digest
self._digest = b"".join(int.to_bytes(x, length = 4, byteorder = "little") for x in [ self._a, self._b, self._c, self._d ])
def digest(self):
self._finalize()
return self._digest
def hexdigest(self):
return self.digest().hex()
@classmethod
def _generate_block(cls, op, round_text):
regex = re.compile(r"\[(?P<order>[A-D]{4})\s+(?P<k>\d+)\s+(?P<s>\d+)\s+(?P<i>\d+)\]")
for match in regex.finditer(round_text):
match = match.groupdict()
a = "ABCD".index(match["order"][0])
b = "ABCD".index(match["order"][1])
c = "ABCD".index(match["order"][2])
d = "ABCD".index(match["order"][3])
k = int(match["k"])
s = int(match["s"])
i = int(match["i"])
T = int(abs(math.sin(i)) * 0x100000000) & 0xffffffff
print("\t\t_RoundOp(a = %d, b = %d, c = %d, d = %d, k = %2d, s = %2d, i = %2d, T = 0x%x, op = _%s)," % (a, b, c, d, k, s, i, T, op))
@classmethod
def generate(cls):
cls._generate_block(op = "f", round_text = """
[ABCD 0 7 1] [DABC 1 12 2] [CDAB 2 17 3] [BCDA 3 22 4]
[ABCD 4 7 5] [DABC 5 12 6] [CDAB 6 17 7] [BCDA 7 22 8]
[ABCD 8 7 9] [DABC 9 12 10] [CDAB 10 17 11] [BCDA 11 22 12]
[ABCD 12 7 13] [DABC 13 12 14] [CDAB 14 17 15] [BCDA 15 22 16]
""")
cls._generate_block(op = "g", round_text = """
[ABCD 1 5 17] [DABC 6 9 18] [CDAB 11 14 19] [BCDA 0 20 20]
[ABCD 5 5 21] [DABC 10 9 22] [CDAB 15 14 23] [BCDA 4 20 24]
[ABCD 9 5 25] [DABC 14 9 26] [CDAB 3 14 27] [BCDA 8 20 28]
[ABCD 13 5 29] [DABC 2 9 30] [CDAB 7 14 31] [BCDA 12 20 32]
""")
cls._generate_block(op = "h", round_text = """
[ABCD 5 4 33] [DABC 8 11 34] [CDAB 11 16 35] [BCDA 14 23 36]
[ABCD 1 4 37] [DABC 4 11 38] [CDAB 7 16 39] [BCDA 10 23 40]
[ABCD 13 4 41] [DABC 0 11 42] [CDAB 3 16 43] [BCDA 6 23 44]
[ABCD 9 4 45] [DABC 12 11 46] [CDAB 15 16 47] [BCDA 2 23 48]
""")
cls._generate_block(op = "i", round_text = """
[ABCD 0 6 49] [DABC 7 10 50] [CDAB 14 15 51] [BCDA 5 21 52]
[ABCD 12 6 53] [DABC 3 10 54] [CDAB 10 15 55] [BCDA 1 21 56]
[ABCD 8 6 57] [DABC 15 10 58] [CDAB 6 15 59] [BCDA 13 21 60]
[ABCD 4 6 61] [DABC 11 10 62] [CDAB 2 15 63] [BCDA 9 21 64]
""")
if __name__ == "__main__":
import os
import hashlib
import sys
if len(sys.argv) == 1:
for i in range(200):
data = os.urandom(i)
right = hashlib.md5(data).hexdigest()
mine = DysonSphereMD5().update(data).hexdigest()
if right != mine:
print(data.hex(), right, mine)
raise Exception("Failed test cases.")
assert(DysonSphereMD5(variant = DysonSphereMD5.Variant.MD5F).update(b"").hexdigest() == "84d1ce3bd68f49ab26eb0f96416617cf")
assert(DysonSphereMD5(variant = DysonSphereMD5.Variant.MD5F).update(b"a").hexdigest() == "f10bddaecb62e5a92433757867ee06db")
assert(DysonSphereMD5(variant = DysonSphereMD5.Variant.MD5F).update(b"abcd").hexdigest() == "fa27c78b6ec31559f0e760ce3f2b03f6")
assert(DysonSphereMD5(variant = DysonSphereMD5.Variant.MD5F).update(b"Why are you doing this, Youthcat Studio?").hexdigest() == "13424e12890a3f50a1f8567c464fff8c")
print("Passed testcases.")
else:
md = DysonSphereMD5(variant = DysonSphereMD5.Variant.MD5F)
with open(sys.argv[1], "rb") as f:
md.update(f.read())
print(md.hexdigest())