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# Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu> # # 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 # # https://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 <yesudeep@gmail.com> import os import struct from rsa import common, transform def read_random_bits(nbits: int) -> bytes: """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 = struct.pack("B", randomvalue) + randomdata return randomdata def read_random_int(nbits: int) -> int: """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 read_random_odd_int(nbits: int) -> int: """Reads a random odd integer of approximately nbits bits. >>> read_random_odd_int(512) & 1 1 """ value = read_random_int(nbits) # Make sure it's odd return value | 1 def randint(maxvalue: int) -> int: """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 % 10 == 0 and tries: # 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