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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
 
 
 class HKDF(KeyDerivationFunction):
 def __init__(
 self,
 algorithm: hashes.HashAlgorithm,
 length: int,
 salt: typing.Optional[bytes],
 info: typing.Optional[bytes],
 backend: typing.Any = None,
 ):
 self._algorithm = algorithm
 
 if salt is None:
 salt = b"\x00" * self._algorithm.digest_size
 else:
 utils._check_bytes("salt", salt)
 
 self._salt = salt
 
 self._hkdf_expand = HKDFExpand(self._algorithm, length, info)
 
 def _extract(self, key_material: bytes) -> bytes:
 h = hmac.HMAC(self._salt, self._algorithm)
 h.update(key_material)
 return h.finalize()
 
 def derive(self, key_material: bytes) -> bytes:
 utils._check_byteslike("key_material", key_material)
 return self._hkdf_expand.derive(self._extract(key_material))
 
 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 HKDFExpand(KeyDerivationFunction):
 def __init__(
 self,
 algorithm: hashes.HashAlgorithm,
 length: int,
 info: typing.Optional[bytes],
 backend: typing.Any = None,
 ):
 self._algorithm = algorithm
 
 max_length = 255 * algorithm.digest_size
 
 if length > max_length:
 raise ValueError(
 f"Cannot derive keys larger than {max_length} octets."
 )
 
 self._length = length
 
 if info is None:
 info = b""
 else:
 utils._check_bytes("info", info)
 
 self._info = info
 
 self._used = False
 
 def _expand(self, key_material: bytes) -> bytes:
 output = [b""]
 counter = 1
 
 while self._algorithm.digest_size * (len(output) - 1) < self._length:
 h = hmac.HMAC(key_material, self._algorithm)
 h.update(output[-1])
 h.update(self._info)
 h.update(bytes([counter]))
 output.append(h.finalize())
 counter += 1
 
 return b"".join(output)[: self._length]
 
 def derive(self, key_material: bytes) -> bytes:
 utils._check_byteslike("key_material", key_material)
 if self._used:
 raise AlreadyFinalized
 
 self._used = True
 return self._expand(key_material)
 
 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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