# -*- 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 from rsa._compat import byte 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 = byte(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