import math


def      a__ (		__UpperCamelCase				):
      assert isinstance(__UpperCamelCase     ,      __UpperCamelCase				) and (
          number >= 0
      ), "'number' must been an int and positive"

      if 1 < number < 4:
            # 2 and 3 are primes
            return True
      elif number < 2 or not number % 2:
            # Negatives, 0, 1 and all even numbers are not primes
            return False

      SCREAMING_SNAKE_CASE_          =  range(3     ,      int(math.sqrt(__UpperCamelCase				) + 1				)     ,      2				)
      return not any(not number % i for i in odd_numbers				)





def      a__ (		__UpperCamelCase     ,      __UpperCamelCase=1     ,      **__UpperCamelCase				):
      SCREAMING_SNAKE_CASE_          =  factor * value
      SCREAMING_SNAKE_CASE_          =  value

      while not is_prime(__UpperCamelCase				):
            value += 1 if not ("desc" in kwargs and kwargs["desc"] is True) else -1

      if value == first_value_val:
            return next_prime(value + 1     ,      **__UpperCamelCase				)
      return value



import logging
import os
import threading
import time


try:
      import warnings
except ImportError:
      A     :  Optional[int]					     =       None

try:
      import msvcrt
except ImportError:
      A     :  List[str]					     =       None

try:
      import fcntl
except ImportError:
      A     :  Union[str, Any]					     =       None


# Backward compatibility
# ------------------------------------------------
try:
      TimeoutError
except NameError:
      A     :  int					     =       OSError


# Data
# ------------------------------------------------
A     :  Any					     =       [
    "Timeout",
    "BaseFileLock",
    "WindowsFileLock",
    "UnixFileLock",
    "SoftFileLock",
    "FileLock",
]

A     :  Tuple					     =       "3.0.12"


A     :  str					     =       None


def      a__ (		):
      global _logger
      SCREAMING_SNAKE_CASE_          =  _logger or logging.getLogger(__name__				)
      return _logger


class   lowerCamelCase					(SCREAMING_SNAKE_CASE__					):
  """simple docstring"""







  def __init__(							self :       List[str]  ,     __magic_name__ :       List[str]   )  ->	List[str]:
        SCREAMING_SNAKE_CASE_          =  lock_file
        return None







  def __str__(							self :       List[str]   )  ->	Optional[Any]:
        SCREAMING_SNAKE_CASE_          =  F'''The file lock \'{self.lock_file}\' could not be acquired.'''
        return temp



class   lowerCamelCase					:
  """simple docstring"""







  def __init__(							self :       int  ,     __magic_name__ :       int   )  ->	str:
        SCREAMING_SNAKE_CASE_          =  lock
        return None







  def __enter__(							self :       int   )  ->	int:
        return self.lock







  def __exit__(							self :       Dict  ,     __magic_name__ :       Union[str, Any]  ,     __magic_name__ :       Union[str, Any]  ,     __magic_name__ :       Optional[int]   )  ->	Optional[int]:
        self.lock.release()
        return None



class   lowerCamelCase					:
  """simple docstring"""







  def __init__(							self :       int  ,     __magic_name__ :       Union[str, Any]  ,     __magic_name__ :       Optional[int]=-1  ,     __magic_name__ :       Optional[int]=None   )  ->	Dict:
        SCREAMING_SNAKE_CASE_          =  max_filename_length if max_filename_length is not None else 255
        # Hash the filename if it's too long
        SCREAMING_SNAKE_CASE_          =  self.hash_filename_if_too_long(__magic_name__  ,     __magic_name__   )
        # The path to the lock file.
        SCREAMING_SNAKE_CASE_          =  lock_file

        # The file descriptor for the *_lock_file* as it is returned by the
        # os.open() function.
        # This file lock is only NOT None, if the object currently holds the
        # lock.
        SCREAMING_SNAKE_CASE_          =  None

        # The default timeout value.
        SCREAMING_SNAKE_CASE_          =  timeout

        # We use this lock primarily for the lock counter.
        SCREAMING_SNAKE_CASE_          =  threading.Lock()

        # The lock counter is used for implementing the nested locking
        # mechanism. Whenever the lock is acquired, the counter is increased and
        # the lock is only released, when this value is 0 again.
        SCREAMING_SNAKE_CASE_          =  0
        return None







  @property
  def    __A     (							self :       int   )  ->	Optional[Any]:
        return self._lock_file







  @property
  def    __A     (							self :       List[str]   )  ->	Union[str, Any]:
        return self._timeout







  @timeout.setter
  def    __A     (							self :       List[str]  ,     __magic_name__ :       List[str]   )  ->	Optional[Any]:
        SCREAMING_SNAKE_CASE_          =  float(__magic_name__   )
        return None







  def    __A     (							self :       Optional[Any]   )  ->	Tuple:
        raise NotImplementedError()







  def    __A     (							self :       Optional[Any]   )  ->	int:
        raise NotImplementedError()







  @property
  def    __A     (							self :       Dict   )  ->	List[str]:
        return self._lock_file_fd is not None







  def    __A     (							self :       Optional[Any]  ,     __magic_name__ :       Optional[Any]=None  ,     __magic_name__ :       Optional[int]=0.05   )  ->	str:
        # Use the default timeout, if no timeout is provided.
        if timeout is None:
              SCREAMING_SNAKE_CASE_          =  self.timeout

        # Increment the number right at the beginning.
        # We can still undo it, if something fails.
        with self._thread_lock:
              self._lock_counter += 1

        SCREAMING_SNAKE_CASE_          =  id(self   )
        SCREAMING_SNAKE_CASE_          =  self._lock_file
        SCREAMING_SNAKE_CASE_          =  time.time()
        try:
              while True:
                    with self._thread_lock:
                          if not self.is_locked:
                                logger().debug(F'''Attempting to acquire lock {lock_id} on {lock_filename}'''   )
                                self._acquire()

                    if self.is_locked:
                          logger().debug(F'''Lock {lock_id} acquired on {lock_filename}'''   )
                          break
                    elif timeout >= 0 and time.time() - start_time > timeout:
                          logger().debug(F'''Timeout on acquiring lock {lock_id} on {lock_filename}'''   )
                          raise Timeout(self._lock_file   )
                    else:
                          logger().debug(
                              F'''Lock {lock_id} not acquired on {lock_filename}, waiting {poll_intervall} seconds ...'''   )
                          time.sleep(__magic_name__   )
        except:  # noqa
              # Something did go wrong, so decrement the counter.
              with self._thread_lock:
                    SCREAMING_SNAKE_CASE_          =  max(0  ,     self._lock_counter - 1   )

              raise
        return _Acquire_ReturnProxy(lock=self   )







  def    __A     (							self :       Dict  ,     __magic_name__ :       Tuple=False   )  ->	Optional[int]:
        with self._thread_lock:
              if self.is_locked:
                    self._lock_counter -= 1

                    if self._lock_counter == 0 or force:
                          SCREAMING_SNAKE_CASE_          =  id(self   )
                          SCREAMING_SNAKE_CASE_          =  self._lock_file

                          logger().debug(F'''Attempting to release lock {lock_id} on {lock_filename}'''   )
                          self._release()
                          SCREAMING_SNAKE_CASE_          =  0
                          logger().debug(F'''Lock {lock_id} released on {lock_filename}'''   )

        return None







  def __enter__(							self :       Optional[Any]   )  ->	Tuple:
        self.acquire()
        return self







  def __exit__(							self :       str  ,     __magic_name__ :       int  ,     __magic_name__ :       int  ,     __magic_name__ :       Union[str, Any]   )  ->	Union[str, Any]:
        self.release()
        return None







  def __del__(							self :       Optional[int]   )  ->	Optional[Any]:
        self.release(force=__magic_name__   )
        return None







  def    __A     (							self :       int  ,     __magic_name__ :       str  ,     __magic_name__ :       int   )  ->	str:
        SCREAMING_SNAKE_CASE_          =  os.path.basename(__magic_name__   )
        if len(__magic_name__   ) > max_length and max_length > 0:
              SCREAMING_SNAKE_CASE_          =  os.path.dirname(__magic_name__   )
              SCREAMING_SNAKE_CASE_          =  str(hash(__magic_name__   )   )
              SCREAMING_SNAKE_CASE_          =  filename[: max_length - len(__magic_name__   ) - 8] + "..." + hashed_filename + ".lock"
              return os.path.join(__magic_name__  ,     __magic_name__   )
        else:
              return path



class   lowerCamelCase					(SCREAMING_SNAKE_CASE__					):
  """simple docstring"""







  def __init__(							self :       List[str]  ,     __magic_name__ :       List[str]  ,     __magic_name__ :       Tuple=-1  ,     __magic_name__ :       Optional[int]=None   )  ->	Dict:
        from .file_utils import relative_to_absolute_path

        super().__init__(__magic_name__  ,     timeout=__magic_name__  ,     max_filename_length=__magic_name__   )
        SCREAMING_SNAKE_CASE_          =  "\\\\?\\" + relative_to_absolute_path(self.lock_file   )







  def    __A     (							self :       Tuple   )  ->	Any:
        SCREAMING_SNAKE_CASE_          =  os.O_RDWR | os.O_CREAT | os.O_TRUNC

        try:
              SCREAMING_SNAKE_CASE_          =  os.open(self._lock_file  ,     __magic_name__   )
        except OSError:
              pass
        else:
              try:
                    msvcrt.locking(__magic_name__  ,     msvcrt.LK_NBLCK  ,     1   )
              except OSError:
                    os.close(__magic_name__   )
              else:
                    SCREAMING_SNAKE_CASE_          =  fd
        return None







  def    __A     (							self :       List[str]   )  ->	Optional[Any]:
        SCREAMING_SNAKE_CASE_          =  self._lock_file_fd
        SCREAMING_SNAKE_CASE_          =  None
        msvcrt.locking(__magic_name__  ,     msvcrt.LK_UNLCK  ,     1   )
        os.close(__magic_name__   )

        try:
              os.remove(self._lock_file   )
        # Probably another instance of the application
        # that acquired the file lock.
        except OSError:
              pass
        return None



class   lowerCamelCase					(SCREAMING_SNAKE_CASE__					):
  """simple docstring"""







  def __init__(							self :       Dict  ,     __magic_name__ :       str  ,     __magic_name__ :       Tuple=-1  ,     __magic_name__ :       Dict=None   )  ->	Dict:
        SCREAMING_SNAKE_CASE_          =  os.statvfs(os.path.dirname(__magic_name__   )   ).f_namemax
        super().__init__(__magic_name__  ,     timeout=__magic_name__  ,     max_filename_length=__magic_name__   )







  def    __A     (							self :       int   )  ->	str:
        SCREAMING_SNAKE_CASE_          =  os.O_RDWR | os.O_CREAT | os.O_TRUNC
        SCREAMING_SNAKE_CASE_          =  os.open(self._lock_file  ,     __magic_name__   )

        try:
              fcntl.flock(__magic_name__  ,     fcntl.LOCK_EX | fcntl.LOCK_NB   )
        except OSError:
              os.close(__magic_name__   )
        else:
              SCREAMING_SNAKE_CASE_          =  fd
        return None







  def    __A     (							self :       List[str]   )  ->	Optional[Any]:
        # Do not remove the lockfile:
        #
        #   https://github.com/benediktschmitt/py-filelock/issues/31
        #   https://stackoverflow.com/questions/17708885/flock-removing-locked-file-without-race-condition
        SCREAMING_SNAKE_CASE_          =  self._lock_file_fd
        SCREAMING_SNAKE_CASE_          =  None
        fcntl.flock(__magic_name__  ,     fcntl.LOCK_UN   )
        os.close(__magic_name__   )
        return None



class   lowerCamelCase					(SCREAMING_SNAKE_CASE__					):
  """simple docstring"""







  def    __A     (							self :       Optional[Any]   )  ->	List[Any]:
        SCREAMING_SNAKE_CASE_          =  os.O_WRONLY | os.O_CREAT | os.O_EXCL | os.O_TRUNC
        try:
              SCREAMING_SNAKE_CASE_          =  os.open(self._lock_file  ,     __magic_name__   )
        except OSError:
              pass
        else:
              SCREAMING_SNAKE_CASE_          =  fd
        return None







  def    __A     (							self :       List[str]   )  ->	Optional[int]:
        os.close(self._lock_file_fd   )
        SCREAMING_SNAKE_CASE_          =  None

        try:
              os.remove(self._lock_file   )
        # The file is already deleted and that's what we want.
        except OSError:
              pass
        return None



A     :  List[str]					     =       None

if msvcrt:
      A     :  Tuple					     =       WindowsFileLock
elif fcntl:
      A     :  Union[str, Any]					     =       UnixFileLock
else:
      A     :  List[Any]					     =       SoftFileLock

      if warnings is not None:
            warnings.warn("only soft file lock is available")


