hack-house/.venv/lib/python3.12/site-packages/srp/_ctsrp.py
leetcrypt bb1d662ee1 chore: rename project coven → hack-house ⛧
Rebrand the Rust client crate (coven/ → hh/, package+binary "hack-house"),
README, CLI strings, and branch (coven → hack-house). Gitea repo renamed
cmd-chat → hack-house to match. Crypto/server logic unchanged; selftest +
golden-vector test still green, binary is now `hack-house`.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
2026-05-30 13:29:14 -07:00

655 lines
20 KiB
Python

# N A large safe prime (N = 2q+1, where q is prime)
# All arithmetic is done modulo N.
# g A generator modulo N
# k Multiplier parameter (k = H(N, g) in SRP-6a, k = 3 for legacy SRP-6)
# s User's salt
# I Username
# p Cleartext Password
# H() One-way hash function
# ^ (Modular) Exponentiation
# u Random scrambling parameter
# a,b Secret ephemeral values
# A,B Public ephemeral values
# x Private key (derived from p and s)
# v Password verifier
import os
import sys
import hashlib
import random
import ctypes
import time
_rfc5054_compat = False
_no_username_in_x = False
def rfc5054_enable(enable=True):
global _rfc5054_compat
_rfc5054_compat = enable
def no_username_in_x(enable=True):
global _no_username_in_x
_no_username_in_x = enable
SHA1 = 0
SHA224 = 1
SHA256 = 2
SHA384 = 3
SHA512 = 4
NG_1024 = 0
NG_2048 = 1
NG_4096 = 2
NG_8192 = 3
NG_CUSTOM = 4
_hash_map = { SHA1 : hashlib.sha1,
SHA224 : hashlib.sha224,
SHA256 : hashlib.sha256,
SHA384 : hashlib.sha384,
SHA512 : hashlib.sha512 }
_ng_const = (
# 1024-bit
(('''\
EEAF0AB9ADB38DD69C33F80AFA8FC5E86072618775FF3C0B9EA2314C9C256576D674DF7496\
EA81D3383B4813D692C6E0E0D5D8E250B98BE48E495C1D6089DAD15DC7D7B46154D6B6CE8E\
F4AD69B15D4982559B297BCF1885C529F566660E57EC68EDBC3C05726CC02FD4CBF4976EAA\
9AFD5138FE8376435B9FC61D2FC0EB06E3''').encode('ascii'),
b"2"),
# 2048
(('''\
AC6BDB41324A9A9BF166DE5E1389582FAF72B6651987EE07FC3192943DB56050A37329CBB4\
A099ED8193E0757767A13DD52312AB4B03310DCD7F48A9DA04FD50E8083969EDB767B0CF60\
95179A163AB3661A05FBD5FAAAE82918A9962F0B93B855F97993EC975EEAA80D740ADBF4FF\
747359D041D5C33EA71D281E446B14773BCA97B43A23FB801676BD207A436C6481F1D2B907\
8717461A5B9D32E688F87748544523B524B0D57D5EA77A2775D2ECFA032CFBDBF52FB37861\
60279004E57AE6AF874E7303CE53299CCC041C7BC308D82A5698F3A8D0C38271AE35F8E9DB\
FBB694B5C803D89F7AE435DE236D525F54759B65E372FCD68EF20FA7111F9E4AFF73''').encode('ascii'),
b"2"),
# 4096
(('''\
FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E08\
8A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B\
302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9\
A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE6\
49286651ECE45B3DC2007CB8A163BF0598DA48361C55D39A69163FA8\
FD24CF5F83655D23DCA3AD961C62F356208552BB9ED529077096966D\
670C354E4ABC9804F1746C08CA18217C32905E462E36CE3BE39E772C\
180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF695581718\
3995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D\
04507A33A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7D\
B3970F85A6E1E4C7ABF5AE8CDB0933D71E8C94E04A25619DCEE3D226\
1AD2EE6BF12FFA06D98A0864D87602733EC86A64521F2B18177B200C\
BBE117577A615D6C770988C0BAD946E208E24FA074E5AB3143DB5BFC\
E0FD108E4B82D120A92108011A723C12A787E6D788719A10BDBA5B26\
99C327186AF4E23C1A946834B6150BDA2583E9CA2AD44CE8DBBBC2DB\
04DE8EF92E8EFC141FBECAA6287C59474E6BC05D99B2964FA090C3A2\
233BA186515BE7ED1F612970CEE2D7AFB81BDD762170481CD0069127\
D5B05AA993B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934063199\
FFFFFFFFFFFFFFFF''').encode('ascii'),
b"5"),
# 8192
(('''\
FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E08\
8A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B\
302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9\
A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE6\
49286651ECE45B3DC2007CB8A163BF0598DA48361C55D39A69163FA8\
FD24CF5F83655D23DCA3AD961C62F356208552BB9ED529077096966D\
670C354E4ABC9804F1746C08CA18217C32905E462E36CE3BE39E772C\
180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF695581718\
3995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D\
04507A33A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7D\
B3970F85A6E1E4C7ABF5AE8CDB0933D71E8C94E04A25619DCEE3D226\
1AD2EE6BF12FFA06D98A0864D87602733EC86A64521F2B18177B200C\
BBE117577A615D6C770988C0BAD946E208E24FA074E5AB3143DB5BFC\
E0FD108E4B82D120A92108011A723C12A787E6D788719A10BDBA5B26\
99C327186AF4E23C1A946834B6150BDA2583E9CA2AD44CE8DBBBC2DB\
04DE8EF92E8EFC141FBECAA6287C59474E6BC05D99B2964FA090C3A2\
233BA186515BE7ED1F612970CEE2D7AFB81BDD762170481CD0069127\
D5B05AA993B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934028492\
36C3FAB4D27C7026C1D4DCB2602646DEC9751E763DBA37BDF8FF9406\
AD9E530EE5DB382F413001AEB06A53ED9027D831179727B0865A8918\
DA3EDBEBCF9B14ED44CE6CBACED4BB1BDB7F1447E6CC254B33205151\
2BD7AF426FB8F401378CD2BF5983CA01C64B92ECF032EA15D1721D03\
F482D7CE6E74FEF6D55E702F46980C82B5A84031900B1C9E59E7C97F\
BEC7E8F323A97A7E36CC88BE0F1D45B7FF585AC54BD407B22B4154AA\
CC8F6D7EBF48E1D814CC5ED20F8037E0A79715EEF29BE32806A1D58B\
B7C5DA76F550AA3D8A1FBFF0EB19CCB1A313D55CDA56C9EC2EF29632\
387FE8D76E3C0468043E8F663F4860EE12BF2D5B0B7474D6E694F91E\
6DBE115974A3926F12FEE5E438777CB6A932DF8CD8BEC4D073B931BA\
3BC832B68D9DD300741FA7BF8AFC47ED2576F6936BA424663AAB639C\
5AE4F5683423B4742BF1C978238F16CBE39D652DE3FDB8BEFC848AD9\
22222E04A4037C0713EB57A81A23F0C73473FC646CEA306B4BCBC886\
2F8385DDFA9D4B7FA2C087E879683303ED5BDD3A062B3CF5B3A278A6\
6D2A13F83F44F82DDF310EE074AB6A364597E899A0255DC164F31CC5\
0846851DF9AB48195DED7EA1B1D510BD7EE74D73FAF36BC31ECFA268\
359046F4EB879F924009438B481C6CD7889A002ED5EE382BC9190DA6\
FC026E479558E4475677E9AA9E3050E2765694DFC81F56E880B96E71\
60C980DD98EDD3DFFFFFFFFFFFFFFFFF''').encode('ascii'),
b'13')
)
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
#G_HEX = "2"
#HNxorg = None
dlls = list()
platform = sys.platform
if platform == 'darwin':
dlls.append( ctypes.cdll.LoadLibrary('libssl.32.dylib') )
elif 'win' in platform:
for d in ('libeay32.dll', 'libssl32.dll', 'ssleay32.dll'):
try:
dlls.append( ctypes.cdll.LoadLibrary(d) )
except:
pass
else:
try:
dlls.append( ctypes.cdll.LoadLibrary('libssl.so.1.1.0') )
except OSError:
dlls.append( ctypes.cdll.LoadLibrary('libssl.so') )
class BIGNUM_Struct (ctypes.Structure):
_fields_ = [ ("d", ctypes.c_void_p),
("top", ctypes.c_int),
("dmax", ctypes.c_int),
("neg", ctypes.c_int),
("flags", ctypes.c_int) ]
class BN_CTX_Struct (ctypes.Structure):
_fields_ = [ ("_", ctypes.c_byte) ]
BIGNUM = ctypes.POINTER( BIGNUM_Struct )
BN_CTX = ctypes.POINTER( BN_CTX_Struct )
def load_func( name, args, returns = ctypes.c_int):
d = sys.modules[ __name__ ].__dict__
f = None
for dll in dlls:
try:
f = getattr(dll, name)
f.argtypes = args
f.restype = returns
d[ name ] = f
return
except:
pass
raise ImportError('Unable to load required functions from SSL dlls')
load_func( 'BN_new', [], BIGNUM )
load_func( 'BN_free', [ BIGNUM ], None )
load_func( 'BN_clear', [ BIGNUM ], None )
load_func( 'BN_CTX_new', [] , BN_CTX )
load_func( 'BN_CTX_free', [ BN_CTX ], None )
load_func( 'BN_set_flags', [ BIGNUM, ctypes.c_int ], None )
BN_FLG_CONSTTIME = 0x04
load_func( 'BN_cmp', [ BIGNUM, BIGNUM ], ctypes.c_int )
load_func( 'BN_num_bits', [ BIGNUM ], ctypes.c_int )
load_func( 'BN_add', [ BIGNUM, BIGNUM, BIGNUM ] )
load_func( 'BN_sub', [ BIGNUM, BIGNUM, BIGNUM ] )
load_func( 'BN_mul', [ BIGNUM, BIGNUM, BIGNUM, BN_CTX ] )
load_func( 'BN_div', [ BIGNUM, BIGNUM, BIGNUM, BIGNUM, BN_CTX ] )
load_func( 'BN_mod_exp', [ BIGNUM, BIGNUM, BIGNUM, BIGNUM, BN_CTX ] )
load_func( 'BN_rand', [ BIGNUM, ctypes.c_int, ctypes.c_int, ctypes.c_int ] )
load_func( 'BN_bn2bin', [ BIGNUM, ctypes.c_char_p ] )
load_func( 'BN_bin2bn', [ ctypes.c_char_p, ctypes.c_int, BIGNUM ], BIGNUM )
load_func( 'BN_hex2bn', [ ctypes.POINTER(BIGNUM), ctypes.c_char_p ] )
load_func( 'BN_bn2hex', [ BIGNUM ], ctypes.c_char_p )
load_func( 'CRYPTO_free', [ ctypes.c_char_p ] )
load_func( 'RAND_seed', [ ctypes.c_char_p, ctypes.c_int ] )
def BN_num_bytes(a):
return ((BN_num_bits(a)+7)//8)
def BN_mod(rem,m,d,ctx):
return BN_div(None, rem, m, d, ctx)
def BN_is_zero( n ):
return n[0].top == 0
def bn_to_bytes( n ):
b = ctypes.create_string_buffer( BN_num_bytes(n) )
BN_bn2bin(n, b)
return b.raw
def bytes_to_bn( dest_bn, bytes ):
BN_bin2bn(bytes, len(bytes), dest_bn)
def H_str( hash_class, dest_bn, s ):
d = hash_class(s).digest()
buff = ctypes.create_string_buffer( s )
BN_bin2bn(d, len(d), dest)
def H_bn( hash_class, dest, n ):
bin = ctypes.create_string_buffer( BN_num_bytes(n) )
BN_bn2bin(n, bin)
d = hash_class( bin.raw ).digest()
BN_bin2bn(d, len(d), dest)
def H_bn_bn( hash_class, dest, n1, n2, width ):
h = hash_class()
bin1 = ctypes.create_string_buffer( BN_num_bytes(n1) )
bin2 = ctypes.create_string_buffer( BN_num_bytes(n2) )
BN_bn2bin(n1, bin1)
BN_bn2bin(n2, bin2)
if _rfc5054_compat:
h.update(bytes(width - len(bin1.raw)))
h.update( bin1.raw )
if _rfc5054_compat:
h.update(bytes(width - len(bin2.raw)))
h.update( bin2.raw )
d = h.digest()
BN_bin2bn(d, len(d), dest)
def H_bn_str( hash_class, dest, n, s ):
h = hash_class()
bin = ctypes.create_string_buffer( BN_num_bytes(n) )
BN_bn2bin(n, bin)
h.update( bin.raw )
h.update( s )
d = h.digest()
BN_bin2bn(d, len(d), dest)
def calculate_x( hash_class, dest, salt, username, password ):
username = username.encode() if hasattr(username, 'encode') else username
password = password.encode() if hasattr(password, 'encode') else password
if _no_username_in_x:
username = b''
up = hash_class(username + b':' + password).digest()
H_bn_str( hash_class, dest, salt, up )
BN_set_flags(dest, BN_FLG_CONSTTIME)
def update_hash( ctx, n ):
buff = ctypes.create_string_buffer( BN_num_bytes(n) )
BN_bn2bin(n, buff)
ctx.update( buff.raw )
def calculate_M( hash_class, N, g, I, s, A, B, K ):
I = I.encode() if hasattr(I, 'encode') else I
h = hash_class()
h.update( HNxorg( hash_class, N, g ) )
h.update( hash_class(I).digest() )
update_hash( h, s )
update_hash( h, A )
update_hash( h, B )
h.update( K )
return h.digest()
def calculate_H_AMK( hash_class, A, M, K ):
h = hash_class()
update_hash( h, A )
h.update( M )
h.update( K )
return h.digest()
def HNxorg( hash_class, N, g ):
bN = ctypes.create_string_buffer( BN_num_bytes(N) )
bg = ctypes.create_string_buffer( BN_num_bytes(g) )
BN_bn2bin(N, bN)
BN_bn2bin(g, bg)
padding = len(bN) - len(bg) if _rfc5054_compat else 0
hN = hash_class( bN.raw ).digest()
hg = hash_class( b''.join([ b'\0'*padding, bg.raw ]) ).digest()
return ( ''.join( chr( hN[i] ^ hg[i] ) for i in range(0,len(hN)) ) ).encode('latin1')
def get_ngk( hash_class, ng_type, n_hex, g_hex, ctx ):
if ng_type < NG_CUSTOM:
n_hex, g_hex = _ng_const[ ng_type ]
N = BN_new()
g = BN_new()
k = BN_new()
BN_hex2bn( N, n_hex )
BN_hex2bn( g, g_hex )
H_bn_bn(hash_class, k, N, g, width=BN_num_bytes(N))
if _rfc5054_compat:
BN_mod(k, k, N, ctx)
return N, g, k
def create_salted_verification_key( username, password, hash_alg=SHA1, ng_type=NG_2048, n_hex=None, g_hex=None, salt_len=4, k_hex=None ):
if ng_type == NG_CUSTOM and (n_hex is None or g_hex is None):
raise ValueError("Both n_hex and g_hex are required when ng_type = NG_CUSTOM")
s = BN_new()
v = BN_new()
x = BN_new()
ctx = BN_CTX_new()
hash_class = _hash_map[ hash_alg ]
N,g,k = get_ngk( hash_class, ng_type, n_hex, g_hex, ctx )
BN_rand(s, salt_len * 8, -1, 0);
calculate_x( hash_class, x, s, username, password )
BN_mod_exp(v, g, x, N, ctx)
salt = bn_to_bytes( s )
verifier = bn_to_bytes( v )
BN_free(s)
BN_free(v)
BN_free(x)
BN_free(N)
BN_free(g)
BN_free(k)
BN_CTX_free(ctx)
return salt, verifier
class Verifier:
def __init__(self, username, bytes_s, bytes_v, bytes_A=None, hash_alg=SHA1, ng_type=NG_2048, n_hex=None, g_hex=None, bytes_b=None, k_hex=None):
if ng_type == NG_CUSTOM and (n_hex is None or g_hex is None):
raise ValueError("Both n_hex and g_hex are required when ng_type = NG_CUSTOM")
if bytes_b and len(bytes_b) != 32:
raise ValueError("32 bytes required for bytes_b")
self.B = BN_new()
self.K = None
self.S = BN_new()
self.u = BN_new()
self.b = BN_new()
self.s = BN_new()
self.v = BN_new()
self.tmp1 = BN_new()
self.tmp2 = BN_new()
self.ctx = BN_CTX_new()
self.I = username
self.M = None
self.H_AMK = None
self._authenticated = False
self.safety_failed = False
hash_class = _hash_map[ hash_alg ]
N,g,k = get_ngk( hash_class, ng_type, n_hex, g_hex, self.ctx )
if k_hex is not None:
BN_hex2bn(k, k_hex)
self.hash_class = hash_class
self.N = N
self.g = g
self.k = k
bytes_to_bn( self.s, bytes_s )
bytes_to_bn( self.v, bytes_v )
if bytes_A:
self._set_A(bytes_A)
if not self.safety_failed:
if bytes_b:
bytes_to_bn( self.b, bytes_b )
else:
BN_rand(self.b, 256, 0, 0)
BN_set_flags(self.b, BN_FLG_CONSTTIME)
# B = kv + g^b
BN_mul(self.tmp1, k, self.v, self.ctx)
BN_mod_exp(self.tmp2, g, self.b, N, self.ctx)
BN_add(self.B, self.tmp1, self.tmp2)
BN_mod(self.B, self.B, N, self.ctx)
def __del__(self):
if not hasattr(self, 'A'):
return # __init__ threw exception. no clean up required
BN_free(self.A)
BN_free(self.B)
BN_free(self.S)
BN_free(self.u)
BN_free(self.b)
BN_free(self.s)
BN_free(self.v)
BN_free(self.N)
BN_free(self.g)
BN_free(self.k)
BN_free(self.tmp1)
BN_free(self.tmp2)
BN_CTX_free(self.ctx)
def authenticated(self):
return self._authenticated
def get_username(self):
return self.I
def get_ephemeral_secret(self):
return bn_to_bytes(self.b)
def get_session_key(self):
return self.K if self._authenticated else None
# returns (bytes_s, bytes_B) on success, (None,None) if SRP-6a safety check fails
def get_challenge(self):
if self.safety_failed:
return None, None
else:
return (bn_to_bytes(self.s), bn_to_bytes(self.B))
def verify_session(self, user_M, bytes_A=None):
if bytes_A:
self._set_A(bytes_A)
if not hasattr(self, 'A'):
raise ValueError("bytes_A must be provided through Verifier constructor or verify_session parameter.")
if not self.safety_failed:
self._derive_H_AMK()
if user_M == self.M:
self._authenticated = True
return self.H_AMK
def _set_A(self, bytes_A):
self.A = BN_new()
bytes_to_bn( self.A, bytes_A )
# SRP-6a safety check
BN_mod(self.tmp1, self.A, self.N, self.ctx)
if BN_is_zero(self.tmp1):
self.safety_failed = True
def _derive_H_AMK(self):
H_bn_bn(self.hash_class, self.u, self.A, self.B, width=BN_num_bytes(self.N))
# S = (A *(v^u)) ^ b
BN_mod_exp(self.tmp1, self.v, self.u, self.N, self.ctx)
BN_mul(self.tmp2, self.A, self.tmp1, self.ctx)
BN_mod_exp(self.S, self.tmp2, self.b, self.N, self.ctx)
self.K = self.hash_class( bn_to_bytes(self.S) ).digest()
self.M = calculate_M( self.hash_class, self.N, self.g, self.I, self.s, self.A, self.B, self.K )
self.H_AMK = calculate_H_AMK( self.hash_class, self.A, self.M, self.K )
class User:
def __init__(self, username, password, hash_alg=SHA1, ng_type=NG_2048, n_hex=None, g_hex=None, bytes_a=None, bytes_A=None, k_hex=None):
if ng_type == NG_CUSTOM and (n_hex is None or g_hex is None):
raise ValueError("Both n_hex and g_hex are required when ng_type = NG_CUSTOM")
if bytes_a and len(bytes_a) != 32:
raise ValueError("32 bytes required for bytes_a")
self.username = username
self.password = password
self.a = BN_new()
self.A = BN_new()
self.B = BN_new()
self.s = BN_new()
self.S = BN_new()
self.u = BN_new()
self.x = BN_new()
self.v = BN_new()
self.tmp1 = BN_new()
self.tmp2 = BN_new()
self.tmp3 = BN_new()
self.ctx = BN_CTX_new()
self.M = None
self.K = None
self.H_AMK = None
self._authenticated = False
hash_class = _hash_map[ hash_alg ]
N,g,k = get_ngk( hash_class, ng_type, n_hex, g_hex, self.ctx )
if k_hex is not None:
BN_hex2bn(k, k_hex)
self.hash_class = hash_class
self.N = N
self.g = g
self.k = k
if bytes_a:
bytes_to_bn( self.a, bytes_a )
else:
BN_rand(self.a, 256, 0, 0)
if bytes_A:
bytes_to_bn( self.A, bytes_A )
else:
BN_set_flags(self.a, BN_FLG_CONSTTIME)
BN_mod_exp(self.A, g, self.a, N, self.ctx)
def __del__(self):
if not hasattr(self, 'a'):
return # __init__ threw exception. no clean up required
BN_free(self.a)
BN_free(self.A)
BN_free(self.B)
BN_free(self.s)
BN_free(self.S)
BN_free(self.u)
BN_free(self.x)
BN_free(self.v)
BN_free(self.N)
BN_free(self.g)
BN_free(self.k)
BN_free(self.tmp1)
BN_free(self.tmp2)
BN_free(self.tmp3)
BN_CTX_free(self.ctx)
def authenticated(self):
return self._authenticated
def get_username(self):
return self.username
def get_ephemeral_secret(self):
return bn_to_bytes(self.a)
def get_session_key(self):
return self.K if self._authenticated else None
def start_authentication(self):
return (self.username, bn_to_bytes(self.A))
# Returns M or None if SRP-6a safety check is violated
def process_challenge(self, bytes_s, bytes_B):
hash_class = self.hash_class
N = self.N
g = self.g
k = self.k
bytes_to_bn( self.s, bytes_s )
bytes_to_bn( self.B, bytes_B )
# SRP-6a safety check
if BN_is_zero(self.B):
return None
H_bn_bn(hash_class, self.u, self.A, self.B, width=BN_num_bytes(N))
# SRP-6a safety check
if BN_is_zero(self.u):
return None
calculate_x( hash_class, self.x, self.s, self.username, self.password )
BN_mod_exp(self.v, g, self.x, N, self.ctx)
# S = (B - k*(g^x)) ^ (a + ux)
BN_mul(self.tmp1, self.u, self.x, self.ctx)
BN_add(self.tmp2, self.a, self.tmp1) # tmp2 = (a + ux)
BN_mod_exp(self.tmp1, g, self.x, N, self.ctx)
BN_mul(self.tmp3, k, self.tmp1, self.ctx) # tmp3 = k*(g^x)
BN_sub(self.tmp1, self.B, self.tmp3) # tmp1 = (B - K*(g^x))
BN_mod_exp(self.S, self.tmp1, self.tmp2, N, self.ctx)
self.K = hash_class( bn_to_bytes(self.S) ).digest()
self.M = calculate_M( hash_class, N, g, self.username, self.s, self.A, self.B, self.K )
self.H_AMK = calculate_H_AMK( hash_class, self.A, self.M, self.K )
return self.M
def verify_session(self, host_HAMK):
if self.H_AMK == host_HAMK:
self._authenticated = True
#---------------------------------------------------------
# Init
#
RAND_seed( os.urandom(32), 32 )