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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