From c4d90bf4ea0c5b7a016028ed994de19638d3113b Mon Sep 17 00:00:00 2001 From: Determinant Date: Tue, 17 Nov 2020 20:04:09 -0500 Subject: support saving as a keystore file --- frozen_deps/Crypto/Util/number.py | 1456 ------------------------------------- 1 file changed, 1456 deletions(-) delete mode 100644 frozen_deps/Crypto/Util/number.py (limited to 'frozen_deps/Crypto/Util/number.py') diff --git a/frozen_deps/Crypto/Util/number.py b/frozen_deps/Crypto/Util/number.py deleted file mode 100644 index 0e1baa0..0000000 --- a/frozen_deps/Crypto/Util/number.py +++ /dev/null @@ -1,1456 +0,0 @@ -# -# number.py : Number-theoretic functions -# -# Part of the Python Cryptography Toolkit -# -# Written by Andrew M. Kuchling, Barry A. Warsaw, and others -# -# =================================================================== -# The contents of this file are dedicated to the public domain. To -# the extent that dedication to the public domain is not available, -# everyone is granted a worldwide, perpetual, royalty-free, -# non-exclusive license to exercise all rights associated with the -# contents of this file for any purpose whatsoever. -# No rights are reserved. -# -# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, -# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF -# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND -# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS -# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN -# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN -# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE -# SOFTWARE. -# =================================================================== -# - -__revision__ = "$Id$" - -from Crypto.pct_warnings import GetRandomNumber_DeprecationWarning, PowmInsecureWarning -from warnings import warn as _warn -import math -import sys -from Crypto.Util.py3compat import * - -bignum = int -try: - from Crypto.PublicKey import _fastmath -except ImportError: - # For production, we are going to let import issues due to gmp/mpir shared - # libraries not loading slide silently and use slowmath. If you'd rather - # see an exception raised if _fastmath exists but cannot be imported, - # uncomment the below - # - # from distutils.sysconfig import get_config_var - # import inspect, os - # _fm_path = os.path.normpath(os.path.dirname(os.path.abspath( - # inspect.getfile(inspect.currentframe()))) - # +"/../../PublicKey/_fastmath"+get_config_var("SO")) - # if os.path.exists(_fm_path): - # raise ImportError("While the _fastmath module exists, importing "+ - # "it failed. This may point to the gmp or mpir shared library "+ - # "not being in the path. _fastmath was found at "+_fm_path) - _fastmath = None - -# You need libgmp v5 or later to get mpz_powm_sec. Warn if it's not available. -if _fastmath is not None and not _fastmath.HAVE_DECL_MPZ_POWM_SEC: - _warn("Not using mpz_powm_sec. You should rebuild using libgmp >= 5 to avoid timing attack vulnerability.", PowmInsecureWarning) - -# New functions -from ._number_new import * - -# Commented out and replaced with faster versions below -## def long2str(n): -## s='' -## while n>0: -## s=chr(n & 255)+s -## n=n>>8 -## return s - -## import types -## def str2long(s): -## if type(s)!=types.StringType: return s # Integers will be left alone -## return reduce(lambda x,y : x*256+ord(y), s, 0L) - -def size (N): - """size(N:long) : int - Returns the size of the number N in bits. - """ - bits = 0 - while N >> bits: - bits += 1 - return bits - -def getRandomNumber(N, randfunc=None): - """Deprecated. Use getRandomInteger or getRandomNBitInteger instead.""" - warnings.warn("Crypto.Util.number.getRandomNumber has confusing semantics"+ - "and has been deprecated. Use getRandomInteger or getRandomNBitInteger instead.", - GetRandomNumber_DeprecationWarning) - return getRandomNBitInteger(N, randfunc) - -def getRandomInteger(N, randfunc=None): - """getRandomInteger(N:int, randfunc:callable):long - Return a random number with at most N bits. - - If randfunc is omitted, then Random.new().read is used. - - This function is for internal use only and may be renamed or removed in - the future. - """ - if randfunc is None: - _import_Random() - randfunc = Random.new().read - - S = randfunc(N>>3) - odd_bits = N % 8 - if odd_bits != 0: - char = ord(randfunc(1)) >> (8-odd_bits) - S = bchr(char) + S - value = bytes_to_long(S) - return value - -def getRandomRange(a, b, randfunc=None): - """getRandomRange(a:int, b:int, randfunc:callable):long - Return a random number n so that a <= n < b. - - If randfunc is omitted, then Random.new().read is used. - - This function is for internal use only and may be renamed or removed in - the future. - """ - range_ = b - a - 1 - bits = size(range_) - value = getRandomInteger(bits, randfunc) - while value > range_: - value = getRandomInteger(bits, randfunc) - return a + value - -def getRandomNBitInteger(N, randfunc=None): - """getRandomInteger(N:int, randfunc:callable):long - Return a random number with exactly N-bits, i.e. a random number - between 2**(N-1) and (2**N)-1. - - If randfunc is omitted, then Random.new().read is used. - - This function is for internal use only and may be renamed or removed in - the future. - """ - value = getRandomInteger (N-1, randfunc) - value |= 2 ** (N-1) # Ensure high bit is set - assert size(value) >= N - return value - -def GCD(x,y): - """GCD(x:long, y:long): long - Return the GCD of x and y. - """ - x = abs(x) ; y = abs(y) - while x > 0: - x, y = y % x, x - return y - -def inverse(u, v): - """inverse(u:long, v:long):long - Return the inverse of u mod v. - """ - u3, v3 = int(u), int(v) - u1, v1 = 1, 0 - while v3 > 0: - q=divmod(u3, v3)[0] - u1, v1 = v1, u1 - v1*q - u3, v3 = v3, u3 - v3*q - while u1<0: - u1 = u1 + v - return u1 - -# Given a number of bits to generate and a random generation function, -# find a prime number of the appropriate size. - -def getPrime(N, randfunc=None): - """getPrime(N:int, randfunc:callable):long - Return a random N-bit prime number. - - If randfunc is omitted, then Random.new().read is used. - """ - if randfunc is None: - _import_Random() - randfunc = Random.new().read - - number=getRandomNBitInteger(N, randfunc) | 1 - while (not isPrime(number, randfunc=randfunc)): - number=number+2 - return number - - -def _rabinMillerTest(n, rounds, randfunc=None): - """_rabinMillerTest(n:long, rounds:int, randfunc:callable):int - Tests if n is prime. - Returns 0 when n is definitly composite. - Returns 1 when n is probably prime. - Returns 2 when n is definitly prime. - - If randfunc is omitted, then Random.new().read is used. - - This function is for internal use only and may be renamed or removed in - the future. - """ - # check special cases (n==2, n even, n < 2) - if n < 3 or (n & 1) == 0: - return n == 2 - # n might be very large so it might be beneficial to precalculate n-1 - n_1 = n - 1 - # determine m and b so that 2**b * m = n - 1 and b maximal - b = 0 - m = n_1 - while (m & 1) == 0: - b += 1 - m >>= 1 - - tested = [] - # we need to do at most n-2 rounds. - for i in range (min (rounds, n-2)): - # randomly choose a < n and make sure it hasn't been tested yet - a = getRandomRange (2, n, randfunc) - while a in tested: - a = getRandomRange (2, n, randfunc) - tested.append (a) - # do the rabin-miller test - z = pow (a, m, n) # (a**m) % n - if z == 1 or z == n_1: - continue - composite = 1 - for r in range (b): - z = (z * z) % n - if z == 1: - return 0 - elif z == n_1: - composite = 0 - break - if composite: - return 0 - return 1 - -def getStrongPrime(N, e=0, false_positive_prob=1e-6, randfunc=None): - """getStrongPrime(N:int, e:int, false_positive_prob:float, randfunc:callable):long - Return a random strong N-bit prime number. - In this context p is a strong prime if p-1 and p+1 have at - least one large prime factor. - N should be a multiple of 128 and > 512. - - If e is provided the returned prime p-1 will be coprime to e - and thus suitable for RSA where e is the public exponent. - - The optional false_positive_prob is the statistical probability - that true is returned even though it is not (pseudo-prime). - It defaults to 1e-6 (less than 1:1000000). - Note that the real probability of a false-positive is far less. This is - just the mathematically provable limit. - - randfunc should take a single int parameter and return that - many random bytes as a string. - If randfunc is omitted, then Random.new().read is used. - """ - # This function was implemented following the - # instructions found in the paper: - # "FAST GENERATION OF RANDOM, STRONG RSA PRIMES" - # by Robert D. Silverman - # RSA Laboratories - # May 17, 1997 - # which by the time of writing could be freely downloaded here: - # http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.17.2713&rep=rep1&type=pdf - - # Use the accelerator if available - if _fastmath is not None: - return _fastmath.getStrongPrime(int(N), int(e), false_positive_prob, - randfunc) - - if (N < 512) or ((N % 128) != 0): - raise ValueError ("bits must be multiple of 128 and > 512") - - rabin_miller_rounds = int(math.ceil(-math.log(false_positive_prob)/math.log(4))) - - # calculate range for X - # lower_bound = sqrt(2) * 2^{511 + 128*x} - # upper_bound = 2^{512 + 128*x} - 1 - x = (N - 512) >> 7; - # We need to approximate the sqrt(2) in the lower_bound by an integer - # expression because floating point math overflows with these numbers - lower_bound = divmod(14142135623730950489 * (2 ** (511 + 128*x)), - 10000000000000000000)[0] - upper_bound = (1 << (512 + 128*x)) - 1 - # Randomly choose X in calculated range - X = getRandomRange (lower_bound, upper_bound, randfunc) - - # generate p1 and p2 - p = [0, 0] - for i in (0, 1): - # randomly choose 101-bit y - y = getRandomNBitInteger (101, randfunc) - # initialize the field for sieving - field = [0] * 5 * len (sieve_base) - # sieve the field - for prime in sieve_base: - offset = y % prime - for j in range ((prime - offset) % prime, len (field), prime): - field[j] = 1 - - # look for suitable p[i] starting at y - result = 0 - for j in range(len(field)): - composite = field[j] - # look for next canidate - if composite: - continue - tmp = y + j - result = _rabinMillerTest (tmp, rabin_miller_rounds) - if result > 0: - p[i] = tmp - break - if result == 0: - raise RuntimeError ("Couln't find prime in field. " - "Developer: Increase field_size") - - # Calculate R - # R = (p2^{-1} mod p1) * p2 - (p1^{-1} mod p2) * p1 - tmp1 = inverse (p[1], p[0]) * p[1] # (p2^-1 mod p1)*p2 - tmp2 = inverse (p[0], p[1]) * p[0] # (p1^-1 mod p2)*p1 - R = tmp1 - tmp2 # (p2^-1 mod p1)*p2 - (p1^-1 mod p2)*p1 - - # search for final prime number starting by Y0 - # Y0 = X + (R - X mod p1p2) - increment = p[0] * p[1] - X = X + (R - (X % increment)) - while 1: - is_possible_prime = 1 - # first check candidate against sieve_base - for prime in sieve_base: - if (X % prime) == 0: - is_possible_prime = 0 - break - # if e is given make sure that e and X-1 are coprime - # this is not necessarily a strong prime criterion but useful when - # creating them for RSA where the p-1 and q-1 should be coprime to - # the public exponent e - if e and is_possible_prime: - if e & 1: - if GCD (e, X-1) != 1: - is_possible_prime = 0 - else: - if GCD (e, divmod((X-1),2)[0]) != 1: - is_possible_prime = 0 - - # do some Rabin-Miller-Tests - if is_possible_prime: - result = _rabinMillerTest (X, rabin_miller_rounds) - if result > 0: - break - X += increment - # abort when X has more bits than requested - # TODO: maybe we shouldn't abort but rather start over. - if X >= 1 << N: - raise RuntimeError ("Couln't find prime in field. " - "Developer: Increase field_size") - return X - -def isPrime(N, false_positive_prob=1e-6, randfunc=None): - """isPrime(N:long, false_positive_prob:float, randfunc:callable):bool - Return true if N is prime. - - The optional false_positive_prob is the statistical probability - that true is returned even though it is not (pseudo-prime). - It defaults to 1e-6 (less than 1:1000000). - Note that the real probability of a false-positive is far less. This is - just the mathematically provable limit. - - If randfunc is omitted, then Random.new().read is used. - """ - if _fastmath is not None: - return _fastmath.isPrime(int(N), false_positive_prob, randfunc) - - if N < 3 or N & 1 == 0: - return N == 2 - for p in sieve_base: - if N == p: - return 1 - if N % p == 0: - return 0 - - rounds = int(math.ceil(-math.log(false_positive_prob)/math.log(4))) - return _rabinMillerTest(N, rounds, randfunc) - - -# Improved conversion functions contributed by Barry Warsaw, after -# careful benchmarking - -import struct - -def long_to_bytes(n, blocksize=0): - """long_to_bytes(n:long, blocksize:int) : string - Convert a long integer to a byte string. - - If optional blocksize is given and greater than zero, pad the front of the - byte string with binary zeros so that the length is a multiple of - blocksize. - """ - # after much testing, this algorithm was deemed to be the fastest - s = b('') - n = int(n) - pack = struct.pack - while n > 0: - s = pack('>I', n & 0xffffffff) + s - n = n >> 32 - # strip off leading zeros - for i in range(len(s)): - if s[i] != b('\000')[0]: - break - else: - # only happens when n == 0 - s = b('\000') - i = 0 - s = s[i:] - # add back some pad bytes. this could be done more efficiently w.r.t. the - # de-padding being done above, but sigh... - if blocksize > 0 and len(s) % blocksize: - s = (blocksize - len(s) % blocksize) * b('\000') + s - return s - -def bytes_to_long(s): - """bytes_to_long(string) : long - Convert a byte string to a long integer. - - This is (essentially) the inverse of long_to_bytes(). - """ - acc = 0 - unpack = struct.unpack - length = len(s) - if length % 4: - extra = (4 - length % 4) - s = b('\000') * extra + s - length = length + extra - for i in range(0, length, 4): - acc = (acc << 32) + unpack('>I', s[i:i+4])[0] - return acc - -# For backwards compatibility... -import warnings -def long2str(n, blocksize=0): - warnings.warn("long2str() has been replaced by long_to_bytes()") - return long_to_bytes(n, blocksize) -def str2long(s): - warnings.warn("str2long() has been replaced by bytes_to_long()") - return bytes_to_long(s) - -def _import_Random(): - # This is called in a function instead of at the module level in order to - # avoid problems with recursive imports - global Random, StrongRandom - from Crypto import Random - from Crypto.Random.random import StrongRandom - - - -# The first 10000 primes used for checking primality. -# This should be enough to eliminate most of the odd -# numbers before needing to do a Rabin-Miller test at all. -sieve_base = ( - 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, - 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, - 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, - 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, - 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, - 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, - 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, - 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, - 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, - 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, - 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, - 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, - 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, - 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, - 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, - 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, - 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, - 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, - 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, - 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, - 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, - 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, - 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, - 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, - 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, - 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, - 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, - 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, - 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, - 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, - 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, - 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, - 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, - 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, - 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, - 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, - 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, - 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, - 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, - 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, - 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, - 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, - 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, - 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, - 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, - 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, - 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, - 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, - 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, - 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, - 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, - 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, - 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, - 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, - 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, - 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, - 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, - 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, - 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, - 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, - 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, - 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, - 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, - 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, - 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, - 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, - 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, - 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, - 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, - 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, - 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, - 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, - 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, - 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, - 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, - 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, - 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, - 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, - 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, - 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