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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. """Core mathematical operations. This is the actual core RSA implementation, which is only defined mathematically on integers. """ def assert_int(var: int, name: str) -> None: if isinstance(var, int): return raise TypeError("%s should be an integer, not %s" % (name, var.__class__)) def encrypt_int(message: int, ekey: int, n: int) -> int: """Encrypts a message using encryption key 'ekey', working modulo n""" assert_int(message, "message") assert_int(ekey, "ekey") assert_int(n, "n") if message < 0: raise ValueError("Only non-negative numbers are supported") if message > n: raise OverflowError("The message %i is too long for n=%i" % (message, n)) return pow(message, ekey, n) def decrypt_int(cyphertext: int, dkey: int, n: int) -> int: """Decrypts a cypher text using the decryption key 'dkey', working modulo n""" assert_int(cyphertext, "cyphertext") assert_int(dkey, "dkey") assert_int(n, "n") message = pow(cyphertext, dkey, n) return message