X-Git-Url: http://gitweb.pimeys.fr/?p=NK2015_Client_Python_Alpha.git;a=blobdiff_plain;f=rsa_source%2Frsa%2Frandnum.py;fp=rsa_source%2Frsa%2Frandnum.py;h=a6a635b96e4cd9c4fd97047760cebe1712d1d706;hp=0000000000000000000000000000000000000000;hb=76e06d82c94bcb814b95419c7faaeacf4beb0155;hpb=d621c5224a44dc20bc2aaf661954fd1df65dd147 diff --git a/rsa_source/rsa/randnum.py b/rsa_source/rsa/randnum.py new file mode 100644 index 0000000..a6a635b --- /dev/null +++ b/rsa_source/rsa/randnum.py @@ -0,0 +1,84 @@ +# -*- coding: utf-8 -*- +# +# Copyright 2011 Sybren A. Stüvel +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +'''Functions for generating random numbers.''' + +# Source inspired by code by Yesudeep Mangalapilly + +import os + +from rsa import common, transform + +def read_random_bits(nbits): + '''Reads 'nbits' random bits. + + If nbits isn't a whole number of bytes, an extra byte will be appended with + only the lower bits set. + ''' + + nbytes, rbits = divmod(nbits, 8) + + # Get the random bytes + randomdata = os.urandom(nbytes) + + # Add the remaining random bits + if rbits > 0: + randomvalue = ord(os.urandom(1)) + randomvalue >>= (8 - rbits) + randomdata = chr(randomvalue) + randomdata + + return randomdata + + +def read_random_int(nbits): + """Reads a random integer of approximately nbits bits. + """ + + randomdata = read_random_bits(nbits) + value = transform.bytes2int(randomdata) + + # Ensure that the number is large enough to just fill out the required + # number of bits. + value |= 1 << (nbits - 1) + + return value + +def randint(maxvalue): + """Returns a random integer x with 1 <= x <= maxvalue + + May take a very long time in specific situations. If maxvalue needs N bits + to store, the closer maxvalue is to (2 ** N) - 1, the faster this function + is. + """ + + bit_size = common.bit_size(maxvalue) + + tries = 0 + while True: + value = read_random_int(bit_size) + if value <= maxvalue: + break + + if tries and tries % 10 == 0: + # After a lot of tries to get the right number of bits but still + # smaller than maxvalue, decrease the number of bits by 1. That'll + # dramatically increase the chances to get a large enough number. + bit_size -= 1 + tries += 1 + + return value + +