

'''simple docstring'''





import functools
import logging
import os
import sys
import threading
from logging import (
    CRITICAL,  # NOQA
    DEBUG,  # NOQA
    ERROR,  # NOQA
    FATAL,  # NOQA
    INFO,  # NOQA
    NOTSET,  # NOQA
    WARN,  # NOQA
    WARNING,  # NOQA
)
from typing import Optional

import huggingface_hub.utils as hf_hub_utils
from tqdm import auto as tqdm_lib


UpperCamelCase_      	=					threading.Lock()
UpperCamelCase_      	=					None

UpperCamelCase_      	=					{
    """debug""": logging.DEBUG,
    """info""": logging.INFO,
    """warning""": logging.WARNING,
    """error""": logging.ERROR,
    """critical""": logging.CRITICAL,
}

UpperCamelCase_      	=					logging.WARNING

UpperCamelCase_      	=					True






def 							_lowerCAmelCase (      )							->     Any:
						lowercase   :       Tuple								=os.getenv('''TRANSFORMERS_VERBOSITY'''      ,   UpperCamelCase__	)
						if env_level_str:
												if env_level_str in log_levels:
																		return log_levels[env_level_str]
												else:
																		logging.getLogger().warning(
																		    f'''Unknown option TRANSFORMERS_VERBOSITY={env_level_str}, '''
																		    f'''has to be one of: { ", ".join(log_levels.keys()	) }'''	)
						return _default_log_level






def 							_lowerCAmelCase (      )							->     int:
						return __name__.split('''.'''	)[0]






def 							_lowerCAmelCase (      )							->     Optional[int]:
						return logging.getLogger(_get_library_name()	)






def 							_lowerCAmelCase (      )							->     Union[str, Any]:
						global _default_handler

						with _lock:
												if _default_handler:
																		# This library has already configured the library root logger.
																		return
												lowercase   :       Optional[int]								=logging.StreamHandler()  # Set sys.stderr as stream.
												lowercase   :       Any								=sys.stderr.flush

												# Apply our default configuration to the library root logger.
												lowercase   :       str								=_get_library_root_logger()
												library_root_logger.addHandler(_default_handler	)
												library_root_logger.setLevel(_get_default_logging_level()	)
												lowercase   :       List[Any]								=False






def 							_lowerCAmelCase (      )							->     Union[str, Any]:
						global _default_handler

						with _lock:
												if not _default_handler:
																		return

												lowercase   :       Optional[int]								=_get_library_root_logger()
												library_root_logger.removeHandler(_default_handler	)
												library_root_logger.setLevel(logging.NOTSET	)
												lowercase   :       int								=None






def 							_lowerCAmelCase (      )							->     List[Any]:
						return log_levels






def 							_lowerCAmelCase (      __magic_name__	:    Optional[str] = None	)							->     Optional[int]:

						if name is None:
												lowercase   :       int								=_get_library_name()

						_configure_library_root_logger()
						return logging.getLogger(UpperCamelCase__	)






def 							_lowerCAmelCase (      )							->     List[str]:
						_configure_library_root_logger()
						return _get_library_root_logger().getEffectiveLevel()






def 							_lowerCAmelCase (      __magic_name__	:    int	)							->     Union[str, Any]:
						_configure_library_root_logger()
						_get_library_root_logger().setLevel(UpperCamelCase__	)






def 							_lowerCAmelCase (      )							->     Optional[int]:
						return set_verbosity(UpperCamelCase__	)






def 							_lowerCAmelCase (      )							->     List[Any]:
						return set_verbosity(UpperCamelCase__	)






def 							_lowerCAmelCase (      )							->     Optional[int]:
						return set_verbosity(UpperCamelCase__	)






def 							_lowerCAmelCase (      )							->     Union[str, Any]:
						return set_verbosity(UpperCamelCase__	)






def 							_lowerCAmelCase (      )							->     Optional[int]:
						_configure_library_root_logger()

						assert _default_handler is not None
						_get_library_root_logger().removeHandler(_default_handler	)






def 							_lowerCAmelCase (      )							->     List[str]:
						_configure_library_root_logger()

						assert _default_handler is not None
						_get_library_root_logger().addHandler(_default_handler	)






def 							_lowerCAmelCase (      __magic_name__	:    logging.Handler	)							->     List[Any]:
						_configure_library_root_logger()

						assert handler is not None
						_get_library_root_logger().addHandler(UpperCamelCase__	)






def 							_lowerCAmelCase (      __magic_name__	:    logging.Handler	)							->     Optional[Any]:
						_configure_library_root_logger()

						assert handler is not None and handler not in _get_library_root_logger().handlers
						_get_library_root_logger().removeHandler(UpperCamelCase__	)






def 							_lowerCAmelCase (      )							->     Tuple:
						_configure_library_root_logger()
						lowercase   :       Any								=False






def 							_lowerCAmelCase (      )							->     Dict:
						_configure_library_root_logger()
						lowercase   :       Any								=True






def 							_lowerCAmelCase (      )							->     str:
						lowercase   :       Optional[Any]								=_get_library_root_logger().handlers

						for handler in handlers:
												lowercase   :       Optional[int]								=logging.Formatter('''[%(levelname)s|%(filename)s:%(lineno)s] %(asctime)s >> %(message)s'''	)
												handler.setFormatter(UpperCamelCase__	)






def 							_lowerCAmelCase (      )							->     Union[str, Any]:
						lowercase   :       List[str]								=_get_library_root_logger().handlers

						for handler in handlers:
												handler.setFormatter(UpperCamelCase__	)






def 							_lowerCAmelCase (      self	:    str      ,   *__magic_name__	:    Any      ,   **__magic_name__	:    Dict	)							->     str:
						lowercase   :       List[str]								=os.getenv('''TRANSFORMERS_NO_ADVISORY_WARNINGS'''      ,   UpperCamelCase__	)
						if no_advisory_warnings:
												return
						self.warning(*UpperCamelCase__      ,   **UpperCamelCase__	)


UpperCamelCase_      	=					warning_advice






@functools.lru_cache(UpperCamelCase__	)
def 							_lowerCAmelCase (      self	:    Dict      ,   *__magic_name__	:    str      ,   **__magic_name__	:    Optional[int]	)							->     int:
						self.warning(*UpperCamelCase__      ,   **UpperCamelCase__	)


UpperCamelCase_      	=					warning_once





class 		__SCREAMING_SNAKE_CASE       :







				def __init__(					self    :		List[str]		,				*UpperCAmelCase__    :		Optional[Any]		,				**UpperCAmelCase__    :		Tuple      ):  # pylint: disable=unused-argument
										'''simple docstring'''
										lowercase   :       Dict								=args[0] if args else None







				def __iter__(					self    :		Any      ):
										'''simple docstring'''
										return iter(self._iterator      )







				def __getattr__(					self    :		Union[str, Any]		,				UpperCAmelCase__    :		Union[str, Any]      ):
										'''simple docstring'''



										def empty_fn(*UpperCAmelCase__    :		Optional[Any]		,				**UpperCAmelCase__    :		Optional[Any]      ):  # pylint: disable=unused-argument
																return

										return empty_fn







				def __enter__(					self    :		Any      ):
										'''simple docstring'''
										return self







				def __exit__(					self    :		List[str]		,				UpperCAmelCase__    :		Optional[int]		,				UpperCAmelCase__    :		List[str]		,				UpperCAmelCase__    :		str      ):
										'''simple docstring'''
										return





class 		__SCREAMING_SNAKE_CASE       :







				def __call__(					self    :		List[Any]		,				*UpperCAmelCase__    :		Tuple		,				**UpperCAmelCase__    :		Any      ):
										'''simple docstring'''



										if _tqdm_active:
																return tqdm_lib.tqdm(*__A		,				**__A      )
										else:
																return EmptyTqdm(*__A		,				**__A      )







				def    lowerCamelCase_  (					self    :		Tuple		,				*UpperCAmelCase__    :		List[Any]		,				**UpperCAmelCase__    :		str      ):
										'''simple docstring'''
										lowercase   :       Any								=None
										if _tqdm_active:
																return tqdm_lib.tqdm.set_lock(*__A		,				**__A      )







				def    lowerCamelCase_  (					self    :		Tuple      ):
										'''simple docstring'''



										if _tqdm_active:
																return tqdm_lib.tqdm.get_lock()



UpperCamelCase_      	=					_tqdm_cls()






def 							_lowerCAmelCase (      )							->     str:
						global _tqdm_active
						return bool(_tqdm_active	)






def 							_lowerCAmelCase (      )							->     str:
						global _tqdm_active
						lowercase   :       Dict								=True
						hf_hub_utils.enable_progress_bars()







def 							_lowerCAmelCase (      )							->     Dict:
						global _tqdm_active
						lowercase   :       int								=False
						hf_hub_utils.disable_progress_bars()








'''simple docstring'''





import mpmath  # for roots of unity
import numpy as np





class 		__SCREAMING_SNAKE_CASE       :







				def __init__(					self    :		Union[str, Any]		,				UpperCAmelCase__    :		List[Any]=None		,				UpperCAmelCase__    :		Optional[Any]=None      ):
										'''simple docstring'''
										# Input as list
										lowercase   :       Optional[int]								=list(poly_a or [0]      )[:]
										lowercase   :       Optional[Any]								=list(poly_b or [0]      )[:]

										# Remove leading zero coefficients
										while self.polyA[-1] == 0:
																self.polyA.pop()
										lowercase   :       Any								=len(self.polyA      )

										while self.polyB[-1] == 0:
																self.polyB.pop()
										lowercase   :       Dict								=len(self.polyB      )

										# Add 0 to make lengths equal a power of 2
										lowercase   :       int								=int(
										    2 ** np.ceil(np.loga(len(self.polyA      ) + len(self.polyB      ) - 1      )      )      )

										while len(self.polyA      ) < self.c_max_length:
																self.polyA.append(0      )
										while len(self.polyB      ) < self.c_max_length:
																self.polyB.append(0      )
										# A complex root used for the fourier transform
										lowercase   :       Union[str, Any]								=complex(mpmath.root(x=1		,				n=self.c_max_length		,				k=1      )      )

										# The product
										lowercase   :       Tuple								=self.__multiply()







				def    lowerCamelCase_  (					self    :		Union[str, Any]		,				UpperCAmelCase__    :		Tuple      ):
										'''simple docstring'''
										lowercase   :       Union[str, Any]								=[[x] for x in self.polyA] if which == '''A''' else [[x] for x in self.polyB]
										# Corner case
										if len(UpperCAmelCase__      ) <= 1:
																return dft[0]
										#
										lowercase   :       Any								=self.c_max_length // 2
										while next_ncol > 0:
																lowercase   :       Optional[int]								=[[] for i in range(UpperCAmelCase__      )]
																lowercase   :       Tuple								=self.root**next_ncol

																# First half of next step
																lowercase   :       str								=1
																for j in range(self.c_max_length // (next_ncol * 2)      ):
																						for i in range(UpperCAmelCase__      ):
																												new_dft[i].append(dft[i][j] + current_root * dft[i + next_ncol][j]      )
																						current_root *= root
																# Second half of next step
																lowercase   :       int								=1
																for j in range(self.c_max_length // (next_ncol * 2)      ):
																						for i in range(UpperCAmelCase__      ):
																												new_dft[i].append(dft[i][j] - current_root * dft[i + next_ncol][j]      )
																						current_root *= root
																# Update
																lowercase   :       Dict								=new_dft
																lowercase   :       Tuple								=next_ncol // 2
										return dft[0]







				def    lowerCamelCase_  (					self    :		List[Any]      ):
										'''simple docstring'''
										lowercase   :       Any								=self.__dft('''A'''      )
										lowercase   :       Any								=self.__dft('''B'''      )
										lowercase   :       Optional[int]								=[[dft_a[i] * dft_b[i] for i in range(self.c_max_length      )]]
										del dft_a
										del dft_b

										# Corner Case
										if len(inverce_c[0]      ) <= 1:
																return inverce_c[0]
										# Inverse DFT
										lowercase   :       Optional[int]								=2
										while next_ncol <= self.c_max_length:
																lowercase   :       Optional[int]								=[[] for i in range(UpperCAmelCase__      )]
																lowercase   :       List[str]								=self.root ** (next_ncol // 2)
																lowercase   :       Optional[int]								=1
																# First half of next step
																for j in range(self.c_max_length // next_ncol      ):
																						for i in range(next_ncol // 2      ):
																												# Even positions
																												new_inverse_c[i].append(
																												    (
																												        inverce_c[i][j]
																												        + inverce_c[i][j + self.c_max_length // next_ncol]
																												    )
																												    / 2      )
																												# Odd positions
																												new_inverse_c[i + next_ncol // 2].append(
																												    (
																												        inverce_c[i][j]
																												        - inverce_c[i][j + self.c_max_length // next_ncol]
																												    )
																												    / (2 * current_root)      )
																						current_root *= root
																# Update
																lowercase   :       List[Any]								=new_inverse_c
																next_ncol *= 2
										# Unpack
										lowercase   :       Tuple								=[round(x[0].real		,				8      ) + round(x[0].imag		,				8      ) * 1J for x in inverce_c]

										# Remove leading 0's
										while inverce_c[-1] == 0:
																inverce_c.pop()
										return inverce_c







				def __str__(					self    :		Any      ):
										'''simple docstring'''
										lowercase   :       Any								='''A = ''' + ''' + '''.join(
										    F'''{coef}*x^{i}''' for coef, i in enumerate(self.polyA[: self.len_A]      )      )
										lowercase   :       Tuple								='''B = ''' + ''' + '''.join(
										    F'''{coef}*x^{i}''' for coef, i in enumerate(self.polyB[: self.len_B]      )      )
										lowercase   :       List[str]								='''A*B = ''' + ''' + '''.join(
										    F'''{coef}*x^{i}''' for coef, i in enumerate(self.product      )      )

										return F'''{a}\n{b}\n{c}'''


# Unit tests
if __name__ == "__main__":
							import doctest

							doctest.testmod()





