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# This file is dual licensed under the terms of the Apache License, Version# 2.0, and the BSD License. See the LICENSE file in the root of this repository
 # for complete details.
 
 from __future__ import annotations
 
 import typing
 
 from cryptography import utils
 from cryptography.exceptions import AlreadyFinalized, InvalidKey
 from cryptography.hazmat.primitives import constant_time, hashes, hmac
 from cryptography.hazmat.primitives.kdf import KeyDerivationFunction
 
 
 def _int_to_u32be(n: int) -> bytes:
 return n.to_bytes(length=4, byteorder="big")
 
 
 def _common_args_checks(
 algorithm: hashes.HashAlgorithm,
 length: int,
 otherinfo: typing.Optional[bytes],
 ) -> None:
 max_length = algorithm.digest_size * (2**32 - 1)
 if length > max_length:
 raise ValueError(f"Cannot derive keys larger than {max_length} bits.")
 if otherinfo is not None:
 utils._check_bytes("otherinfo", otherinfo)
 
 
 def _concatkdf_derive(
 key_material: bytes,
 length: int,
 auxfn: typing.Callable[[], hashes.HashContext],
 otherinfo: bytes,
 ) -> bytes:
 utils._check_byteslike("key_material", key_material)
 output = [b""]
 outlen = 0
 counter = 1
 
 while length > outlen:
 h = auxfn()
 h.update(_int_to_u32be(counter))
 h.update(key_material)
 h.update(otherinfo)
 output.append(h.finalize())
 outlen += len(output[-1])
 counter += 1
 
 return b"".join(output)[:length]
 
 
 class ConcatKDFHash(KeyDerivationFunction):
 def __init__(
 self,
 algorithm: hashes.HashAlgorithm,
 length: int,
 otherinfo: typing.Optional[bytes],
 backend: typing.Any = None,
 ):
 _common_args_checks(algorithm, length, otherinfo)
 self._algorithm = algorithm
 self._length = length
 self._otherinfo: bytes = otherinfo if otherinfo is not None else b""
 
 self._used = False
 
 def _hash(self) -> hashes.Hash:
 return hashes.Hash(self._algorithm)
 
 def derive(self, key_material: bytes) -> bytes:
 if self._used:
 raise AlreadyFinalized
 self._used = True
 return _concatkdf_derive(
 key_material, self._length, self._hash, self._otherinfo
 )
 
 def verify(self, key_material: bytes, expected_key: bytes) -> None:
 if not constant_time.bytes_eq(self.derive(key_material), expected_key):
 raise InvalidKey
 
 
 class ConcatKDFHMAC(KeyDerivationFunction):
 def __init__(
 self,
 algorithm: hashes.HashAlgorithm,
 length: int,
 salt: typing.Optional[bytes],
 otherinfo: typing.Optional[bytes],
 backend: typing.Any = None,
 ):
 _common_args_checks(algorithm, length, otherinfo)
 self._algorithm = algorithm
 self._length = length
 self._otherinfo: bytes = otherinfo if otherinfo is not None else b""
 
 if algorithm.block_size is None:
 raise TypeError(f"{algorithm.name} is unsupported for ConcatKDF")
 
 if salt is None:
 salt = b"\x00" * algorithm.block_size
 else:
 utils._check_bytes("salt", salt)
 
 self._salt = salt
 
 self._used = False
 
 def _hmac(self) -> hmac.HMAC:
 return hmac.HMAC(self._salt, self._algorithm)
 
 def derive(self, key_material: bytes) -> bytes:
 if self._used:
 raise AlreadyFinalized
 self._used = True
 return _concatkdf_derive(
 key_material, self._length, self._hmac, self._otherinfo
 )
 
 def verify(self, key_material: bytes, expected_key: bytes) -> None:
 if not constant_time.bytes_eq(self.derive(key_material), expected_key):
 raise InvalidKey
 
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