83 lines
2.4 KiB
Python
83 lines
2.4 KiB
Python
# Pyrogram - Telegram MTProto API Client Library for Python
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# Copyright (C) 2017-2021 Dan <https://github.com/delivrance>
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#
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# This file is part of Pyrogram.
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#
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# Pyrogram is free software: you can redistribute it and/or modify
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# it under the terms of the GNU Lesser General Public License as published
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# by the Free Software Foundation, either version 3 of the License, or
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# (at your option) any later version.
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#
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# Pyrogram is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU Lesser General Public License for more details.
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#
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# You should have received a copy of the GNU Lesser General Public License
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# along with Pyrogram. If not, see <http://www.gnu.org/licenses/>.
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from random import randint
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CURRENT_DH_PRIME = int(
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"C71CAEB9C6B1C9048E6C522F70F13F73980D40238E3E21C14934D037563D930F"
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"48198A0AA7C14058229493D22530F4DBFA336F6E0AC925139543AED44CCE7C37"
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"20FD51F69458705AC68CD4FE6B6B13ABDC9746512969328454F18FAF8C595F64"
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"2477FE96BB2A941D5BCD1D4AC8CC49880708FA9B378E3C4F3A9060BEE67CF9A4"
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"A4A695811051907E162753B56B0F6B410DBA74D8A84B2A14B3144E0EF1284754"
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"FD17ED950D5965B4B9DD46582DB1178D169C6BC465B0D6FF9CA3928FEF5B9AE4"
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"E418FC15E83EBEA0F87FA9FF5EED70050DED2849F47BF959D956850CE929851F"
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"0D8115F635B105EE2E4E15D04B2454BF6F4FADF034B10403119CD8E3B92FCC5B",
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16
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)
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# Recursive variant
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# def gcd(cls, a: int, b: int) -> int:
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# return cls.gcd(b, a % b) if b else a
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def gcd(a: int, b: int) -> int:
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while b:
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a, b = b, a % b
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return a
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def decompose(pq: int) -> int:
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# https://comeoncodeon.wordpress.com/2010/09/18/pollard-rho-brent-integer-factorization/
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if pq % 2 == 0:
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return 2
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y, c, m = randint(1, pq - 1), randint(1, pq - 1), randint(1, pq - 1)
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g = r = q = 1
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x = ys = 0
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while g == 1:
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x = y
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for i in range(r):
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y = (pow(y, 2, pq) + c) % pq
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k = 0
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while k < r and g == 1:
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ys = y
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for i in range(min(m, r - k)):
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y = (pow(y, 2, pq) + c) % pq
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q = q * (abs(x - y)) % pq
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g = gcd(q, pq)
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k += m
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r *= 2
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if g == pq:
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while True:
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ys = (pow(ys, 2, pq) + c) % pq
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g = gcd(abs(x - ys), pq)
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if g > 1:
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break
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return g
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