
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

from tqdm import auto as tqdm_lib


A__       :   Any   						=					threading.Lock()
A__       :   Optional[logging.Handler]   						=					None

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

A__       :   Tuple   						=					logging.WARNING

A__       :   Any   						=					True



def      _a     (   ):
			lowerCAmelCase__ :    Dict				      =			os.getenv('''DIFFUSERS_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 DIFFUSERS_VERBOSITY={env_level_str}, '''
									    f'''has to be one of: { ", ".join(log_levels.keys()    ) }'''    )
			return _default_log_level



def      _a     (   ):
			return __name__.split('''.'''    )[0]



def      _a     (   ):
			return logging.getLogger(_get_library_name()    )



def      _a     (   ):
			global _default_handler

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

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



def      _a     (   ):
			global _default_handler

			with _lock:
						if not _default_handler:
									return

						lowerCAmelCase__ :    Any				      =			_get_library_root_logger()
						library_root_logger.removeHandler(_default_handler    )
						library_root_logger.setLevel(logging.NOTSET    )
						lowerCAmelCase__ :    Union[str, Any]				      =			None



def      _a     (   ):
			return log_levels



def      _a     (   __UpperCamelCase       :  Optional[str] = None    ):

			if name is None:
						lowerCAmelCase__ :    Union[str, Any]				      =			_get_library_name()

			_configure_library_root_logger()
			return logging.getLogger(__UpperCamelCase    )



def      _a     (   ):
			_configure_library_root_logger()
			return _get_library_root_logger().getEffectiveLevel()



def      _a     (   __UpperCamelCase       :  int    ):
			_configure_library_root_logger()
			_get_library_root_logger().setLevel(__UpperCamelCase    )



def      _a     (   ):
			return set_verbosity(__UpperCamelCase    )



def      _a     (   ):
			return set_verbosity(__UpperCamelCase    )



def      _a     (   ):
			return set_verbosity(__UpperCamelCase    )



def      _a     (   ):
			return set_verbosity(__UpperCamelCase    )



def      _a     (   ):
			_configure_library_root_logger()

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



def      _a     (   ):
			_configure_library_root_logger()

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



def      _a     (   __UpperCamelCase       :  logging.Handler    ):
			_configure_library_root_logger()

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



def      _a     (   __UpperCamelCase       :  logging.Handler    ):
			_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      _a     (   ):
			_configure_library_root_logger()
			lowerCAmelCase__ :    Optional[int]				      =			False



def      _a     (   ):
			_configure_library_root_logger()
			lowerCAmelCase__ :    Optional[Any]				      =			True



def      _a     (   ):
			lowerCAmelCase__ :    Any				      =			_get_library_root_logger().handlers

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



def      _a     (   ):
			lowerCAmelCase__ :    Any				      =			_get_library_root_logger().handlers

			for handler in handlers:
						handler.setFormatter(__UpperCamelCase    )



def      _a     (   self       :  int	,*__UpperCamelCase       :  Optional[Any]	,**__UpperCamelCase       :  Union[str, Any]    ):
			lowerCAmelCase__ :    Union[str, Any]				      =			os.getenv('''DIFFUSERS_NO_ADVISORY_WARNINGS'''	,__UpperCamelCase    )
			if no_advisory_warnings:
						return
			self.warning(*__UpperCamelCase	,**__UpperCamelCase    )


A__       :   List[str]   						=					warning_advice





class 						lowercase       :
					def __init__(		self ,	*SCREAMING_SNAKE_CASE__ ,	**SCREAMING_SNAKE_CASE__    ):  # pylint: disable=unused-argument
								"""simple docstring"""







								lowerCAmelCase__ :    List[str]				      =			args[0] if args else None
					def __iter__(		self    ):
								"""simple docstring"""







								return iter(self._iterator    )
					def __getattr__(		self ,	SCREAMING_SNAKE_CASE__    ):
								"""simple docstring"""







								def empty_fn(*SCREAMING_SNAKE_CASE__ ,	**SCREAMING_SNAKE_CASE__    ):  # pylint: disable=unused-argument
											return

								return empty_fn
					def __enter__(		self    ):
								"""simple docstring"""







								return self
					def __exit__(		self ,	SCREAMING_SNAKE_CASE__ ,	SCREAMING_SNAKE_CASE__ ,	SCREAMING_SNAKE_CASE__    ):
								"""simple docstring"""







								return





class 						lowercase       :
					def __call__(		self ,	*SCREAMING_SNAKE_CASE__ ,	**SCREAMING_SNAKE_CASE__    ):
								"""simple docstring"""







								if _tqdm_active:
											return tqdm_lib.tqdm(*SCREAMING_SNAKE_CASE__ ,	**SCREAMING_SNAKE_CASE__    )
								else:
											return EmptyTqdm(*SCREAMING_SNAKE_CASE__ ,	**SCREAMING_SNAKE_CASE__    )
					def lowercase_			(		self ,	*SCREAMING_SNAKE_CASE__ ,	**SCREAMING_SNAKE_CASE__    ):
								"""simple docstring"""







								lowerCAmelCase__ :    Optional[int]				      =			None
								if _tqdm_active:
											return tqdm_lib.tqdm.set_lock(*SCREAMING_SNAKE_CASE__ ,	**SCREAMING_SNAKE_CASE__    )
					def lowercase_			(		self    ):
								"""simple docstring"""







								if _tqdm_active:
											return tqdm_lib.tqdm.get_lock()





A__       :   Any   						=					_tqdm_cls()



def      _a     (   ):
			global _tqdm_active
			return bool(_tqdm_active    )



def      _a     (   ):
			global _tqdm_active
			lowerCAmelCase__ :    Optional[Any]				      =			True



def      _a     (   ):
			global _tqdm_active
			lowerCAmelCase__ :    Dict				      =			False





import numpy as np
from numpy import floataa
from numpy.typing import NDArray



def      _a     (   __UpperCamelCase       :  NDArray[floataa]	,__UpperCamelCase       :  NDArray[floataa]    ):
			lowerCAmelCase__      ,				lowerCAmelCase__ :    Any				      =			np.shape(__UpperCamelCase    )

			lowerCAmelCase__ :    NDArray[floataa]				      =			np.zeros((rows, 1)	,dtype=__UpperCamelCase    )
			for row in reversed(range(__UpperCamelCase    )    ):
						lowerCAmelCase__ :    List[str]				      =			0
						for col in range(row + 1	,__UpperCamelCase    ):
									total += coefficients[row, col] * x[col]

						lowerCAmelCase__ :    int				      =			(vector[row] - total) / coefficients[row, row]

			return x



def      _a     (   __UpperCamelCase       :  NDArray[floataa]	,__UpperCamelCase       :  NDArray[floataa]    ):
			lowerCAmelCase__      ,				lowerCAmelCase__ :    str				      =			np.shape(__UpperCamelCase    )
			if rows != columns:
						return np.array(()	,dtype=__UpperCamelCase    )

			# augmented matrix
			lowerCAmelCase__ :    NDArray[floataa]				      =			np.concatenate((coefficients, vector)	,axis=1    )
			lowerCAmelCase__ :    List[str]				      =			augmented_mat.astype('''float64'''    )

			# scale the matrix leaving it triangular
			for row in range(rows - 1    ):
						lowerCAmelCase__ :    str				      =			augmented_mat[row, row]
						for col in range(row + 1	,__UpperCamelCase    ):
									lowerCAmelCase__ :    Optional[int]				      =			augmented_mat[col, row] / pivot
									augmented_mat[col, :] -= factor * augmented_mat[row, :]

			lowerCAmelCase__ :    int				      =			retroactive_resolution(
			    augmented_mat[:, 0:columns]	,augmented_mat[:, columns : columns + 1]    )

			return x


if __name__ == "__main__":
							import doctest

							doctest.testmod()



