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mikro.py
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mikro.py
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import random
import struct
from sha256 import SHA256
from toyecc import AffineCurvePoint, getcurvebyname, FieldElement,ECPrivateKey,ECPublicKey,Tools
MIKRO_BASE64_CHARACTER_TABLE = b'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/'
SOFTWARE_ID_CHARACTER_TABLE = b'TN0BYX18S5HZ4IA67DGF3LPCJQRUK9MW2VE'
MIKRO_SHA256_K = (
0x0548D563, 0x98308EAB, 0x37AF7CCC, 0xDFBC4E3C,
0xF125AAC9, 0xEC98ACB8, 0x8B540795, 0xD3E0EF0E,
0x4904D6E5, 0x0DA84981, 0x9A1F8452, 0x00EB7EAA,
0x96F8E3B3, 0xA6CDB655, 0xE7410F9E, 0x8EECB03D,
0x9C6A7C25, 0xD77B072F, 0x6E8F650A, 0x124E3640,
0x7E53785A, 0xE0150772, 0xC61EF4E0, 0xBC57E5E0,
0xC0F9A285, 0xDB342856, 0x190834C7, 0xFBEB7D8E,
0x251BED34, 0x0E9F2AAD, 0x256AB901, 0x0A5B7890,
0x9F124F09, 0xD84A9151, 0x427AF67A, 0x8059C9AA,
0x13EAB029, 0x3153CDF1, 0x262D405D, 0xA2105D87,
0x9C745F15, 0xD1613847, 0x294CE135, 0x20FB0F3C,
0x8424D8ED, 0x8F4201B6, 0x12CA1EA7, 0x2054B091,
0x463D8288, 0xC83253C3, 0x33EA314A, 0x9696DC92,
0xD041CE9A, 0xE5477160, 0xC7656BE8, 0x5179FE33,
0x1F4726F1, 0x5F393AF0, 0x26E2D004, 0x6D020245,
0x85FDF6D7, 0xB0237C56, 0xFF5FBD94, 0xA8B3F534
)
def mikro_softwareid_decode(software_id:str)->int:
assert(isinstance(software_id, str))
software_id = software_id.replace('-', '')
ret = 0
for i in reversed(range(len(software_id))):
ret *= len(SOFTWARE_ID_CHARACTER_TABLE)
ret += SOFTWARE_ID_CHARACTER_TABLE.index(ord(software_id[i]))
return ret
def mikro_softwareid_encode(id:int)->str:
assert(isinstance(id, int))
ret = ''
for i in range(8):
ret += chr(SOFTWARE_ID_CHARACTER_TABLE[id % len(SOFTWARE_ID_CHARACTER_TABLE)])
id //= len(SOFTWARE_ID_CHARACTER_TABLE)
if i == 3:
ret += '-'
return ret
def to32bits(v):
return (v + (1 << 32)) % (1 << 32)
def rotl(n, d):
return (n << d) | (n >> (32 - d))
def mikro_encode(s:bytes)->bytes:
s = list(struct.unpack('>' + 'I' * (len(s) // 4), s))
for i in reversed(range(16)):
s[(i+0) % 4] = to32bits(rotl(s[(i+3) % 4], MIKRO_SHA256_K[i*4+3] & 0x0F) ^ (s[(i+0) % 4] - s[(i+3) % 4]))
s[(i+3) % 4] = to32bits(s[(i+3) % 4] + s[(i+1) % 4] + MIKRO_SHA256_K[i*4+3])
s[(i+1) % 4] = to32bits(rotl(s[(i+2) % 4], MIKRO_SHA256_K[i*4+2] & 0x0F) ^ (s[(i+1) % 4] - s[(i+2) % 4]))
s[(i+0) % 4] = to32bits(s[(i+0) % 4] + s[(i+2) % 4] + MIKRO_SHA256_K[i*4+2])
s[(i+2) % 4] = to32bits(rotl(s[(i+1) % 4], MIKRO_SHA256_K[i*4+1] & 0x0F) ^ (s[(i+2) % 4] - s[(i+1) % 4]))
s[(i+1) % 4] = to32bits(s[(i+1) % 4] + s[(i+3) % 4] + MIKRO_SHA256_K[i*4+1])
s[(i+3) % 4] = to32bits(rotl(s[(i+0) % 4], MIKRO_SHA256_K[i*4+0] & 0x0F) ^ (s[(i+3) % 4] - s[(i+0) % 4]))
s[(i+2) % 4] = to32bits(s[(i+2) % 4] + s[(i+0) % 4] + MIKRO_SHA256_K[i*4+0])
encodedLicensePayload = b''
for x in s:
encodedLicensePayload += x.to_bytes(4, 'big')
return encodedLicensePayload
def mikro_decode(s:bytes)->bytes:
s = list(struct.unpack('>'+'I'*(len(s) // 4), s))
for i in range(16):
s[(i+2) % 4] = to32bits(s[(i+2) % 4] - s[(i+0) % 4] - MIKRO_SHA256_K[i*4+0])
s[(i+3) % 4] = to32bits((rotl(s[(i+0) % 4], MIKRO_SHA256_K[i*4+0] & 0x0F) ^ s[(i+3) % 4]) + s[(i+0) % 4])
s[(i+1) % 4] = to32bits(s[(i+1) % 4] - s[(i+3) % 4] - MIKRO_SHA256_K[i*4+1])
s[(i+2) % 4] = to32bits((rotl(s[(i+1) % 4], MIKRO_SHA256_K[i*4+1] & 0x0F) ^ s[(i+2) % 4]) + s[(i+1) % 4])
s[(i+0) % 4] = to32bits(s[(i+0) % 4] - s[(i+2) % 4] - MIKRO_SHA256_K[i*4+2])
s[(i+1) % 4] = to32bits((rotl(s[(i+2) % 4], MIKRO_SHA256_K[i*4+2] & 0x0F) ^ s[(i+1) % 4]) + s[(i+2) % 4])
s[(i+3) % 4] = to32bits(s[(i+3) % 4] - s[(i+1) % 4] - MIKRO_SHA256_K[i*4+3])
s[(i+0) % 4] = to32bits((rotl(s[(i+3) % 4], MIKRO_SHA256_K[i*4+3] & 0x0F) ^ s[(i+0) % 4]) + s[(i+3) % 4])
ret = b''
for x in s:
ret += x.to_bytes(4, 'big')
return ret
def mikro_base64_encode(data:bytes, pad = False)->str:
encoded = ''
left = 0
for i in range(0, len(data)):
if left == 0:
encoded += chr(MIKRO_BASE64_CHARACTER_TABLE[data[i] & 0x3F])
left = 2
else:
if left == 6:
encoded += chr(MIKRO_BASE64_CHARACTER_TABLE[data[i - 1] >> 2])
encoded += chr(MIKRO_BASE64_CHARACTER_TABLE[data[i] & 0x3F])
left = 2
else:
index1 = data[i - 1] >> (8 - left)
index2 = data[i] << (left)
encoded += chr(MIKRO_BASE64_CHARACTER_TABLE[(index1 | index2) & 0x3F])
left += 2
if left != 0:
encoded += chr(MIKRO_BASE64_CHARACTER_TABLE[data[len(data) - 1] >> (8 - left)])
if pad:
for i in range(0, (4 - len(encoded) % 4) % 4):
encoded += '='
return encoded
def mikro_base64_decode(data:str)->bytes:
ret = b""
data = data.replace("=", "").encode()
left = 0
for i in range(0, len(data)):
if left == 0:
left = 6
else:
value1 = MIKRO_BASE64_CHARACTER_TABLE.index(data[i - 1]) >> (6 - left)
value2 = MIKRO_BASE64_CHARACTER_TABLE.index(data[i]) & (2 ** (8 - left) - 1)
value = value1 | (value2 << left)
ret += bytes([value])
left -= 2
return ret
class MikroSHA256(SHA256):
K = MIKRO_SHA256_K
INITIAL_STATE = SHA256.State(
0x5B653932, 0x7B145F8F, 0x71FFB291, 0x38EF925F,
0x03E1AAF9, 0x4A2057CC, 0x4CAF4DD9, 0x643CC9EA
)
def mikro_sha256(data:bytes)->bytes:
return MikroSHA256(data).digest()
def mikro_eddsa_sign(data:bytes,private_key:bytes)->bytes:
assert(isinstance(data, bytes))
assert(isinstance(private_key, bytes))
curve = getcurvebyname('Ed25519')
private_key = ECPrivateKey.eddsa_decode(curve,private_key)
return private_key.eddsa_sign(data).encode()
def mikro_eddsa_verify(data:bytes,signature:bytes,public_key:bytes):
assert(isinstance(data, bytes))
assert(isinstance(signature, bytes))
assert(isinstance(public_key, bytes))
curve = getcurvebyname('Ed25519')
public_key = ECPublicKey.eddsa_decode(curve,public_key)
signature = ECPrivateKey.EDDSASignature.decode(curve,signature)
return public_key.eddsa_verify(data,signature)
def mikro_kcdsa_sign(data:bytes,private_key:bytes)->bytes:
assert(isinstance(data, bytes))
assert(isinstance(private_key, bytes))
curve = getcurvebyname('Curve25519')
private_key:ECPrivateKey = ECPrivateKey(Tools.bytestoint_le(private_key), curve)
public_key:ECPublicKey = private_key.pubkey
while True:
nonce_secret = random.SystemRandom().randint(1, curve.n - 1)
nonce_point = nonce_secret * curve.G
nonce = int(nonce_point.x) % curve.n
nonce_hash = mikro_sha256(Tools.inttobytes_le(nonce,32))
data_hash = bytearray(mikro_sha256(data))
for i in range(16):
data_hash[8+i] ^= nonce_hash[i]
data_hash[0] &= 0xF8
data_hash[31] &= 0x7F
data_hash[31] |= 0x40
data_hash = Tools.bytestoint_le(data_hash)
signature = pow(private_key.scalar, -1, curve.n) * (nonce_secret - data_hash)
signature %= curve.n
if int((public_key.point * signature + curve.G * data_hash).x) == nonce:
return bytes(nonce_hash[:16]+Tools.inttobytes_le(signature,32))
def mikro_kcdsa_verify(data:bytes, signature:bytes, public_key:bytes)->bool:
assert(isinstance(data, bytes))
assert(isinstance(signature, bytes))
assert(isinstance(public_key, bytes))
curve = getcurvebyname('Curve25519')
#y^2 = x^3 + ax^2 + x
x = FieldElement(Tools.bytestoint_le(public_key), curve.p)
YY = ((x**3) + (curve.a * x**2) + x).sqrt()
public_keys = [AffineCurvePoint(int(x), int(y), curve) for y in YY]
data_hash = bytearray(mikro_sha256(data))
nonce_hash = signature[:16]
signature = Tools.bytestoint_le(signature[16:])
for i in range(16):
data_hash[8+i] ^= nonce_hash[i]
data_hash[0] &= 0xF8
data_hash[31] &= 0x7F
data_hash[31] |= 0x40
data_hash = Tools.bytestoint_le(data_hash)
for public_key in public_keys:
nonce = int((public_key * signature + curve.G * data_hash).x)
if mikro_sha256(Tools.inttobytes_le(nonce,32))[:len(nonce_hash)] == nonce_hash:
return True
return False