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# Copyright (C) 2003-2007 Robey Pointer <robeypointer@gmail.com>
#
# 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 distributed 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
from paramiko.ssh_exception import SSHException
def _generate_prime(bits, rng):
"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 = rng.read((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:
break
return n
def _roll_random(rng, 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 = rng.read(bytes)
if hbyte_mask > 0:
x = chr(ord(x[0]) & hbyte_mask) + x[1:]
num = util.inflate_long(x, 1)
if num < n:
break
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.rng = rpool
def _parse_modulus(self, line):
timestamp, mod_type, tests, tries, size, generator, modulus = line.split()
mod_type = int(mod_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 (mod_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 bl not in self.pack:
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.rng, len(self.pack[good]))
return self.pack[good][n]
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