/usr/lib/python3/dist-packages/tlslite/mathtls.py is in python3-tlslite-ng 0.5.1-1.
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# Trevor Perrin
# Dave Baggett (Arcode Corporation) - MD5 support for MAC_SSL
# Yngve Pettersen (ported by Paul Sokolovsky) - TLS 1.2
# Hubert Kario - SHA384 PRF
#
# See the LICENSE file for legal information regarding use of this file.
"""Miscellaneous helper functions."""
from .utils.compat import *
from .utils.cryptomath import *
from .constants import CipherSuite
import hmac
#1024, 1536, 2048, 3072, 4096, 6144, and 8192 bit groups]
goodGroupParameters = [(2,0xEEAF0AB9ADB38DD69C33F80AFA8FC5E86072618775FF3C0B9EA2314C9C256576D674DF7496EA81D3383B4813D692C6E0E0D5D8E250B98BE48E495C1D6089DAD15DC7D7B46154D6B6CE8EF4AD69B15D4982559B297BCF1885C529F566660E57EC68EDBC3C05726CC02FD4CBF4976EAA9AFD5138FE8376435B9FC61D2FC0EB06E3),\
(2,0x9DEF3CAFB939277AB1F12A8617A47BBBDBA51DF499AC4C80BEEEA9614B19CC4D5F4F5F556E27CBDE51C6A94BE4607A291558903BA0D0F84380B655BB9A22E8DCDF028A7CEC67F0D08134B1C8B97989149B609E0BE3BAB63D47548381DBC5B1FC764E3F4B53DD9DA1158BFD3E2B9C8CF56EDF019539349627DB2FD53D24B7C48665772E437D6C7F8CE442734AF7CCB7AE837C264AE3A9BEB87F8A2FE9B8B5292E5A021FFF5E91479E8CE7A28C2442C6F315180F93499A234DCF76E3FED135F9BB),\
(2,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
(2,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
(5,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
(5,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
(5,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
def P_hash(macFunc, secret, seed, length):
bytes = bytearray(length)
A = seed
index = 0
while 1:
A = macFunc(secret, A)
output = macFunc(secret, A + seed)
for c in output:
if index >= length:
return bytes
bytes[index] = c
index += 1
return bytes
def PRF(secret, label, seed, length):
#Split the secret into left and right halves
# which may share a byte if len is odd
S1 = secret[ : int(math.ceil(len(secret)/2.0))]
S2 = secret[ int(math.floor(len(secret)/2.0)) : ]
#Run the left half through P_MD5 and the right half through P_SHA1
p_md5 = P_hash(HMAC_MD5, S1, label + seed, length)
p_sha1 = P_hash(HMAC_SHA1, S2, label + seed, length)
#XOR the output values and return the result
for x in range(length):
p_md5[x] ^= p_sha1[x]
return p_md5
def PRF_1_2(secret, label, seed, length):
"""Pseudo Random Function for TLS1.2 ciphers that use SHA256"""
return P_hash(HMAC_SHA256, secret, label + seed, length)
def PRF_1_2_SHA384(secret, label, seed, length):
"""Pseudo Random Function for TLS1.2 ciphers that use SHA384"""
return P_hash(HMAC_SHA384, secret, label + seed, length)
def PRF_SSL(secret, seed, length):
bytes = bytearray(length)
index = 0
for x in range(26):
A = bytearray([ord('A')+x] * (x+1)) # 'A', 'BB', 'CCC', etc..
input = secret + SHA1(A + secret + seed)
output = MD5(input)
for c in output:
if index >= length:
return bytes
bytes[index] = c
index += 1
return bytes
def calcMasterSecret(version, cipherSuite, premasterSecret, clientRandom,
serverRandom):
"""Derive Master Secret from premaster secret and random values"""
if version == (3,0):
masterSecret = PRF_SSL(premasterSecret,
clientRandom + serverRandom, 48)
elif version in ((3,1), (3,2)):
masterSecret = PRF(premasterSecret, b"master secret",
clientRandom + serverRandom, 48)
elif version == (3,3):
if cipherSuite in CipherSuite.sha384PrfSuites:
masterSecret = PRF_1_2_SHA384(premasterSecret,
b"master secret",
clientRandom + serverRandom,
48)
else:
masterSecret = PRF_1_2(premasterSecret,
b"master secret",
clientRandom + serverRandom,
48)
else:
raise AssertionError()
return masterSecret
def calcFinished(version, masterSecret, cipherSuite, handshakeHashes,
isClient):
"""Calculate the Handshake protocol Finished value
@param version: TLS protocol version tuple
@param masterSecret: negotiated master secret of the connection
@param cipherSuite: negotiated cipher suite of the connection,
@param handshakeHashes: running hash of the handshake messages
@param isClient: whether the calculation should be performed for message
sent by client (True) or by server (False) side of connection
"""
assert version in ((3, 0), (3, 1), (3, 2), (3, 3))
if version == (3,0):
if isClient:
senderStr = b"\x43\x4C\x4E\x54"
else:
senderStr = b"\x53\x52\x56\x52"
verifyData = handshakeHashes.digestSSL(masterSecret, senderStr)
else:
if isClient:
label = b"client finished"
else:
label = b"server finished"
if version in ((3,1), (3,2)):
handshakeHash = handshakeHashes.digest()
verifyData = PRF(masterSecret, label, handshakeHash, 12)
else: # version == (3,3):
if cipherSuite in CipherSuite.sha384PrfSuites:
handshakeHash = handshakeHashes.digest('sha384')
verifyData = PRF_1_2_SHA384(masterSecret, label,
handshakeHash, 12)
else:
handshakeHash = handshakeHashes.digest('sha256')
verifyData = PRF_1_2(masterSecret, label, handshakeHash, 12)
return verifyData
def makeX(salt, username, password):
if len(username)>=256:
raise ValueError("username too long")
if len(salt)>=256:
raise ValueError("salt too long")
innerHashResult = SHA1(username + bytearray(b":") + password)
outerHashResult = SHA1(salt + innerHashResult)
return bytesToNumber(outerHashResult)
#This function is used by VerifierDB.makeVerifier
def makeVerifier(username, password, bits):
bitsIndex = {1024:0, 1536:1, 2048:2, 3072:3, 4096:4, 6144:5, 8192:6}[bits]
g,N = goodGroupParameters[bitsIndex]
salt = getRandomBytes(16)
x = makeX(salt, username, password)
verifier = powMod(g, x, N)
return N, g, salt, verifier
def PAD(n, x):
nLength = len(numberToByteArray(n))
b = numberToByteArray(x)
if len(b) < nLength:
b = (b"\0" * (nLength-len(b))) + b
return b
def makeU(N, A, B):
return bytesToNumber(SHA1(PAD(N, A) + PAD(N, B)))
def makeK(N, g):
return bytesToNumber(SHA1(numberToByteArray(N) + PAD(N, g)))
def createHMAC(k, digestmod=hashlib.sha1):
h = hmac.HMAC(k, digestmod=digestmod)
h.block_size = digestmod().block_size
return h
def createMAC_SSL(k, digestmod=None):
mac = MAC_SSL()
mac.create(k, digestmod=digestmod)
return mac
class MAC_SSL(object):
def create(self, k, digestmod=None):
self.digestmod = digestmod or hashlib.sha1
self.block_size = self.digestmod().block_size
# Repeat pad bytes 48 times for MD5; 40 times for other hash functions.
self.digest_size = 16 if (self.digestmod is hashlib.md5) else 20
repeat = 40 if self.digest_size == 20 else 48
opad = b"\x5C" * repeat
ipad = b"\x36" * repeat
self.ohash = self.digestmod(k + opad)
self.ihash = self.digestmod(k + ipad)
def update(self, m):
self.ihash.update(m)
def copy(self):
new = MAC_SSL()
new.ihash = self.ihash.copy()
new.ohash = self.ohash.copy()
new.digestmod = self.digestmod
new.digest_size = self.digest_size
new.block_size = self.block_size
return new
def digest(self):
ohash2 = self.ohash.copy()
ohash2.update(self.ihash.digest())
return bytearray(ohash2.digest())
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