/gdata/tlslite/mathtls.py
Python | 170 lines | 112 code | 25 blank | 33 comment | 18 complexity | e94d515ff9dbb589f5ecc70370ef8233 MD5 | raw file
1"""Miscellaneous helper functions.""" 2 3from utils.compat import * 4from utils.cryptomath import * 5 6import hmac 7import md5 8import sha 9 10#1024, 1536, 2048, 3072, 4096, 6144, and 8192 bit groups] 11goodGroupParameters = [(2,0xEEAF0AB9ADB38DD69C33F80AFA8FC5E86072618775FF3C0B9EA2314C9C256576D674DF7496EA81D3383B4813D692C6E0E0D5D8E250B98BE48E495C1D6089DAD15DC7D7B46154D6B6CE8EF4AD69B15D4982559B297BCF1885C529F566660E57EC68EDBC3C05726CC02FD4CBF4976EAA9AFD5138FE8376435B9FC61D2FC0EB06E3),\ 12 (2,0x9DEF3CAFB939277AB1F12A8617A47BBBDBA51DF499AC4C80BEEEA9614B19CC4D5F4F5F556E27CBDE51C6A94BE4607A291558903BA0D0F84380B655BB9A22E8DCDF028A7CEC67F0D08134B1C8B97989149B609E0BE3BAB63D47548381DBC5B1FC764E3F4B53DD9DA1158BFD3E2B9C8CF56EDF019539349627DB2FD53D24B7C48665772E437D6C7F8CE442734AF7CCB7AE837C264AE3A9BEB87F8A2FE9B8B5292E5A021FFF5E91479E8CE7A28C2442C6F315180F93499A234DCF76E3FED135F9BB),\ 13 (2,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),\ 14 (2,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def P_hash(hashModule, secret, seed, length): 20 bytes = createByteArrayZeros(length) 21 secret = bytesToString(secret) 22 seed = bytesToString(seed) 23 A = seed 24 index = 0 25 while 1: 26 A = hmac.HMAC(secret, A, hashModule).digest() 27 output = hmac.HMAC(secret, A+seed, hashModule).digest() 28 for c in output: 29 if index >= length: 30 return bytes 31 bytes[index] = ord(c) 32 index += 1 33 return bytes 34 35def PRF(secret, label, seed, length): 36 #Split the secret into left and right halves 37 S1 = secret[ : int(math.ceil(len(secret)/2.0))] 38 S2 = secret[ int(math.floor(len(secret)/2.0)) : ] 39 40 #Run the left half through P_MD5 and the right half through P_SHA1 41 p_md5 = P_hash(md5, S1, concatArrays(stringToBytes(label), seed), length) 42 p_sha1 = P_hash(sha, S2, concatArrays(stringToBytes(label), seed), length) 43 44 #XOR the output values and return the result 45 for x in range(length): 46 p_md5[x] ^= p_sha1[x] 47 return p_md5 48 49 50def PRF_SSL(secret, seed, length): 51 secretStr = bytesToString(secret) 52 seedStr = bytesToString(seed) 53 bytes = createByteArrayZeros(length) 54 index = 0 55 for x in range(26): 56 A = chr(ord('A')+x) * (x+1) # 'A', 'BB', 'CCC', etc.. 57 input = secretStr + sha.sha(A + secretStr + seedStr).digest() 58 output = md5.md5(input).digest() 59 for c in output: 60 if index >= length: 61 return bytes 62 bytes[index] = ord(c) 63 index += 1 64 return bytes 65 66def makeX(salt, username, password): 67 if len(username)>=256: 68 raise ValueError("username too long") 69 if len(salt)>=256: 70 raise ValueError("salt too long") 71 return stringToNumber(sha.sha(salt + sha.sha(username + ":" + password)\ 72 .digest()).digest()) 73 74#This function is used by VerifierDB.makeVerifier 75def makeVerifier(username, password, bits): 76 bitsIndex = {1024:0, 1536:1, 2048:2, 3072:3, 4096:4, 6144:5, 8192:6}[bits] 77 g,N = goodGroupParameters[bitsIndex] 78 salt = bytesToString(getRandomBytes(16)) 79 x = makeX(salt, username, password) 80 verifier = powMod(g, x, N) 81 return N, g, salt, verifier 82 83def PAD(n, x): 84 nLength = len(numberToString(n)) 85 s = numberToString(x) 86 if len(s) < nLength: 87 s = ("\0" * (nLength-len(s))) + s 88 return s 89 90def makeU(N, A, B): 91 return stringToNumber(sha.sha(PAD(N, A) + PAD(N, B)).digest()) 92 93def makeK(N, g): 94 return stringToNumber(sha.sha(numberToString(N) + PAD(N, g)).digest()) 95 96 97""" 98MAC_SSL 99Modified from Python HMAC by Trevor 100""" 101 102class MAC_SSL: 103 """MAC_SSL class. 104 105 This supports the API for Cryptographic Hash Functions (PEP 247). 106 """ 107 108 def __init__(self, key, msg = None, digestmod = None): 109 """Create a new MAC_SSL object. 110 111 key: key for the keyed hash object. 112 msg: Initial input for the hash, if provided. 113 digestmod: A module supporting PEP 247. Defaults to the md5 module. 114 """ 115 if digestmod is None: 116 import md5 117 digestmod = md5 118 119 if key == None: #TREVNEW - for faster copying 120 return #TREVNEW 121 122 self.digestmod = digestmod 123 self.outer = digestmod.new() 124 self.inner = digestmod.new() 125 self.digest_size = digestmod.digest_size 126 127 ipad = "\x36" * 40 128 opad = "\x5C" * 40 129 130 self.inner.update(key) 131 self.inner.update(ipad) 132 self.outer.update(key) 133 self.outer.update(opad) 134 if msg is not None: 135 self.update(msg) 136 137 138 def update(self, msg): 139 """Update this hashing object with the string msg. 140 """ 141 self.inner.update(msg) 142 143 def copy(self): 144 """Return a separate copy of this hashing object. 145 146 An update to this copy won't affect the original object. 147 """ 148 other = MAC_SSL(None) #TREVNEW - for faster copying 149 other.digest_size = self.digest_size #TREVNEW 150 other.digestmod = self.digestmod 151 other.inner = self.inner.copy() 152 other.outer = self.outer.copy() 153 return other 154 155 def digest(self): 156 """Return the hash value of this hashing object. 157 158 This returns a string containing 8-bit data. The object is 159 not altered in any way by this function; you can continue 160 updating the object after calling this function. 161 """ 162 h = self.outer.copy() 163 h.update(self.inner.digest()) 164 return h.digest() 165 166 def hexdigest(self): 167 """Like digest(), but returns a string of hexadecimal digits instead. 168 """ 169 return "".join([hex(ord(x))[2:].zfill(2) 170 for x in tuple(self.digest())])