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+# -*- coding: ascii -*-
+#
+# FortunaGenerator.py : Fortuna's internal PRNG
+#
+# Written in 2008 by Dwayne C. Litzenberger <dlitz@dlitz.net>
+#
+# ===================================================================
+# 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__ = "$Id$"
+
+import sys
+if sys.version_info[0] is 2 and sys.version_info[1] is 1:
+ from Crypto.Util.py21compat import *
+from Crypto.Util.py3compat import *
+
+import struct
+
+from Crypto.Util.number import ceil_shift, exact_log2, exact_div
+from Crypto.Util import Counter
+from Crypto.Cipher import AES
+
+from . import SHAd256
+
+class AESGenerator(object):
+ """The Fortuna "generator"
+
+ This is used internally by the Fortuna PRNG to generate arbitrary amounts
+ of pseudorandom data from a smaller amount of seed data.
+
+ The output is generated by running AES-256 in counter mode and re-keying
+ after every mebibyte (2**16 blocks) of output.
+ """
+
+ block_size = AES.block_size # output block size in octets (128 bits)
+ key_size = 32 # key size in octets (256 bits)
+
+ # Because of the birthday paradox, we expect to find approximately one
+ # collision for every 2**64 blocks of output from a real random source.
+ # However, this code generates pseudorandom data by running AES in
+ # counter mode, so there will be no collisions until the counter
+ # (theoretically) wraps around at 2**128 blocks. Thus, in order to prevent
+ # Fortuna's pseudorandom output from deviating perceptibly from a true
+ # random source, Ferguson and Schneier specify a limit of 2**16 blocks
+ # without rekeying.
+ max_blocks_per_request = 2**16 # Allow no more than this number of blocks per _pseudo_random_data request
+
+ _four_kiblocks_of_zeros = b("\0") * block_size * 4096
+
+ def __init__(self):
+ self.counter = Counter.new(nbits=self.block_size*8, initial_value=0, little_endian=True)
+ self.key = None
+
+ # Set some helper constants
+ self.block_size_shift = exact_log2(self.block_size)
+ assert (1 << self.block_size_shift) == self.block_size
+
+ self.blocks_per_key = exact_div(self.key_size, self.block_size)
+ assert self.key_size == self.blocks_per_key * self.block_size
+
+ self.max_bytes_per_request = self.max_blocks_per_request * self.block_size
+
+ def reseed(self, seed):
+ if self.key is None:
+ self.key = b("\0") * self.key_size
+
+ self._set_key(SHAd256.new(self.key + seed).digest())
+ self.counter() # increment counter
+ assert len(self.key) == self.key_size
+
+ def pseudo_random_data(self, bytes):
+ assert bytes >= 0
+
+ num_full_blocks = bytes >> 20
+ remainder = bytes & ((1<<20)-1)
+
+ retval = []
+ for i in range(num_full_blocks):
+ retval.append(self._pseudo_random_data(1<<20))
+ retval.append(self._pseudo_random_data(remainder))
+
+ return b("").join(retval)
+
+ def _set_key(self, key):
+ self.key = key
+ self._cipher = AES.new(key, AES.MODE_CTR, counter=self.counter)
+
+ def _pseudo_random_data(self, bytes):
+ if not (0 <= bytes <= self.max_bytes_per_request):
+ raise AssertionError("You cannot ask for more than 1 MiB of data per request")
+
+ num_blocks = ceil_shift(bytes, self.block_size_shift) # num_blocks = ceil(bytes / self.block_size)
+
+ # Compute the output
+ retval = self._generate_blocks(num_blocks)[:bytes]
+
+ # Switch to a new key to avoid later compromises of this output (i.e.
+ # state compromise extension attacks)
+ self._set_key(self._generate_blocks(self.blocks_per_key))
+
+ assert len(retval) == bytes
+ assert len(self.key) == self.key_size
+
+ return retval
+
+ def _generate_blocks(self, num_blocks):
+ if self.key is None:
+ raise AssertionError("generator must be seeded before use")
+ assert 0 <= num_blocks <= self.max_blocks_per_request
+ retval = []
+ for i in range(num_blocks >> 12): # xrange(num_blocks / 4096)
+ retval.append(self._cipher.encrypt(self._four_kiblocks_of_zeros))
+ remaining_bytes = (num_blocks & 4095) << self.block_size_shift # (num_blocks % 4095) * self.block_size
+ retval.append(self._cipher.encrypt(self._four_kiblocks_of_zeros[:remaining_bytes]))
+ return b("").join(retval)
+
+# vim:set ts=4 sw=4 sts=4 expandtab: