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+# Copyright (C) 2003-2005 Robey Pointer <robey@lag.net>
+#
+# This file is part of paramiko.
+#
+# Paramiko is free software; you can redistribute it and/or modify it under the
+# terms of the GNU Lesser General Public License as published by the Free
+# Software Foundation; either version 2.1 of the License, or (at your option)
+# any later version.
+#
+# Paramiko is distrubuted in the hope that it will be useful, but WITHOUT ANY
+# WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
+# A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
+# details.
+#
+# You should have received a copy of the GNU Lesser General Public License
+# along with Paramiko; if not, write to the Free Software Foundation, Inc.,
+# 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA.
+
+"""
+Utility functions for dealing with primes.
+"""
+
+from Crypto.Util import number
+
+from paramiko import util
+
+
+def _generate_prime(bits, randpool):
+ "primtive attempt at prime generation"
+ hbyte_mask = pow(2, bits % 8) - 1
+ while True:
+ # loop catches the case where we increment n into a higher bit-range
+ x = randpool.get_bytes((bits+7) // 8)
+ if hbyte_mask > 0:
+ x = chr(ord(x[0]) & hbyte_mask) + x[1:]
+ n = util.inflate_long(x, 1)
+ n |= 1
+ n |= (1 << (bits - 1))
+ while not number.isPrime(n):
+ n += 2
+ if util.bit_length(n) == bits:
+ return n
+
+def _roll_random(rpool, n):
+ "returns a random # from 0 to N-1"
+ bits = util.bit_length(n-1)
+ bytes = (bits + 7) // 8
+ hbyte_mask = pow(2, bits % 8) - 1
+
+ # so here's the plan:
+ # we fetch as many random bits as we'd need to fit N-1, and if the
+ # generated number is >= N, we try again. in the worst case (N-1 is a
+ # power of 2), we have slightly better than 50% odds of getting one that
+ # fits, so i can't guarantee that this loop will ever finish, but the odds
+ # of it looping forever should be infinitesimal.
+ while True:
+ x = rpool.get_bytes(bytes)
+ if hbyte_mask > 0:
+ x = chr(ord(x[0]) & hbyte_mask) + x[1:]
+ num = util.inflate_long(x, 1)
+ if num < n:
+ return num
+
+
+class ModulusPack (object):
+ """
+ convenience object for holding the contents of the /etc/ssh/moduli file,
+ on systems that have such a file.
+ """
+
+ def __init__(self, rpool):
+ # pack is a hash of: bits -> [ (generator, modulus) ... ]
+ self.pack = {}
+ self.discarded = []
+ self.randpool = rpool
+
+ def _parse_modulus(self, line):
+ timestamp, type, tests, tries, size, generator, modulus = line.split()
+ type = int(type)
+ tests = int(tests)
+ tries = int(tries)
+ size = int(size)
+ generator = int(generator)
+ modulus = long(modulus, 16)
+
+ # weed out primes that aren't at least:
+ # type 2 (meets basic structural requirements)
+ # test 4 (more than just a small-prime sieve)
+ # tries < 100 if test & 4 (at least 100 tries of miller-rabin)
+ if (type < 2) or (tests < 4) or ((tests & 4) and (tests < 8) and (tries < 100)):
+ self.discarded.append((modulus, 'does not meet basic requirements'))
+ return
+ if generator == 0:
+ generator = 2
+
+ # there's a bug in the ssh "moduli" file (yeah, i know: shock! dismay!
+ # call cnn!) where it understates the bit lengths of these primes by 1.
+ # this is okay.
+ bl = util.bit_length(modulus)
+ if (bl != size) and (bl != size + 1):
+ self.discarded.append((modulus, 'incorrectly reported bit length %d' % size))
+ return
+ if not self.pack.has_key(bl):
+ self.pack[bl] = []
+ self.pack[bl].append((generator, modulus))
+
+ def read_file(self, filename):
+ """
+ @raise IOError: passed from any file operations that fail.
+ """
+ self.pack = {}
+ f = open(filename, 'r')
+ for line in f:
+ line = line.strip()
+ if (len(line) == 0) or (line[0] == '#'):
+ continue
+ try:
+ self._parse_modulus(line)
+ except:
+ continue
+ f.close()
+
+ def get_modulus(self, min, prefer, max):
+ bitsizes = self.pack.keys()
+ bitsizes.sort()
+ if len(bitsizes) == 0:
+ raise SSHException('no moduli available')
+ good = -1
+ # find nearest bitsize >= preferred
+ for b in bitsizes:
+ if (b >= prefer) and (b < max) and ((b < good) or (good == -1)):
+ good = b
+ # if that failed, find greatest bitsize >= min
+ if good == -1:
+ for b in bitsizes:
+ if (b >= min) and (b < max) and (b > good):
+ good = b
+ if good == -1:
+ # their entire (min, max) range has no intersection with our range.
+ # if their range is below ours, pick the smallest. otherwise pick
+ # the largest. it'll be out of their range requirement either way,
+ # but we'll be sending them the closest one we have.
+ good = bitsizes[0]
+ if min > good:
+ good = bitsizes[-1]
+ # now pick a random modulus of this bitsize
+ n = _roll_random(self.randpool, len(self.pack[good]))
+ return self.pack[good][n]