


'''simple docstring'''
from __future__ import annotations
class    lowercase	:

		"""simple docstring"""

		def __init__(		self    ,   UpperCamelCase_							):

							'''simple docstring'''


							UpperCamelCase__   :str												= order

							# a_{0} ... a_{k}
							UpperCamelCase__   :int												= [1.0] + [0.0] * order
							# b_{0} ... b_{k}
							UpperCamelCase__   :str												= [1.0] + [0.0] * order

							# x[n-1] ... x[n-k]
							UpperCamelCase__   :Union[str, Any]												= [0.0] * self.order
							# y[n-1] ... y[n-k]
							UpperCamelCase__   :Union[str, Any]												= [0.0] * self.order




		def     lowerCAmelCase__				(		self    ,   UpperCamelCase_    ,   UpperCamelCase_							):

							'''simple docstring'''


							if len(UpperCamelCase_							) < self.order:
												UpperCamelCase__   :Optional[Any]												= [1.0, *a_coeffs]

							if len(UpperCamelCase_							) != self.order + 1:
												UpperCamelCase__   :List[Any]												= (
												    F'''Expected a_coeffs to have {self.order + 1} elements '''
												    F'''for {self.order}-order filter, got {len(UpperCamelCase_							)}'''
												)
												raise ValueError(UpperCamelCase_							)

							if len(UpperCamelCase_							) != self.order + 1:
												UpperCamelCase__   :Optional[int]												= (
												    F'''Expected b_coeffs to have {self.order + 1} elements '''
												    F'''for {self.order}-order filter, got {len(UpperCamelCase_							)}'''
												)
												raise ValueError(UpperCamelCase_							)

							UpperCamelCase__   :Tuple												= a_coeffs
							UpperCamelCase__   :Dict												= b_coeffs




		def     lowerCAmelCase__				(		self    ,   UpperCamelCase_							):

							'''simple docstring'''


							UpperCamelCase__   :Optional[Any]												= 0.0

							# Start at index 1 and do index 0 at the end.
							for i in range(1    ,   self.order + 1							):
												result += (
												    self.b_coeffs[i] * self.input_history[i - 1]
												    - self.a_coeffs[i] * self.output_history[i - 1]
												)

							UpperCamelCase__   :str												= (result + self.b_coeffs[0] * sample) / self.a_coeffs[0]

							UpperCamelCase__   :List[Any]												= self.input_history[:-1]
							UpperCamelCase__   :Dict												= self.output_history[:-1]

							UpperCamelCase__   :List[str]												= sample
							UpperCamelCase__   :Any												= result

							return result





# flake8: noqa
# Lint as: python3

from typing import Dict, List, Optional, Type

from .. import config
from ..utils import logging
from .formatting import (
    ArrowFormatter,
    CustomFormatter,
    Formatter,
    PandasFormatter,
    PythonFormatter,
    TensorFormatter,
    format_table,
    query_table,
)
from .np_formatter import NumpyFormatter


__UpperCamelCase					:       List[str]    					=      logging.get_logger(__name__)

__UpperCamelCase					:       Dict[Optional[str], Type[Formatter]]    					=      {}
__UpperCamelCase					:       Dict[Optional[str], str]    					=      {}
__UpperCamelCase					:       Dict[Optional[str], Exception]    					=      {}





def 		__A		(	__lowerCamelCase							,			__lowerCamelCase							,			__lowerCamelCase = None							,			)      ->       Optional[int]:
	a										=							aliases if aliases is not None else []
	if format_type in _FORMAT_TYPES:
		logger.warning(
		    f'Overwriting format type \'{format_type}\' ({_FORMAT_TYPES[format_type].__name__} -> {formatter_cls.__name__})'    )
	a										=							formatter_cls
	for alias in set(aliases + [format_type]    ):
		if alias in _FORMAT_TYPES_ALIASES:
			logger.warning(
			    f'Overwriting format type alias \'{alias}\' ({_FORMAT_TYPES_ALIASES[alias]} -> {format_type})'    )
		a										=							format_type





def 		__A		(	__lowerCamelCase							,			__lowerCamelCase							,			__lowerCamelCase = None    )      ->       List[str]:
	a										=							aliases if aliases is not None else []
	for alias in set(aliases + [format_type]    ):
		a										=							unavailable_error


# Here we define all the available formatting functions that can be used by `Dataset.set_format`
_register_formatter(PythonFormatter, None, aliases=["python"])
_register_formatter(ArrowFormatter, "arrow", aliases=["pa", "pyarrow"])
_register_formatter(NumpyFormatter, "numpy", aliases=["np"])
_register_formatter(PandasFormatter, "pandas", aliases=["pd"])
_register_formatter(CustomFormatter, "custom")

if config.TORCH_AVAILABLE:
		from .torch_formatter import TorchFormatter

		_register_formatter(TorchFormatter, "torch", aliases=["pt", "pytorch"])
else:
		__UpperCamelCase					:       str    					=      ValueError("PyTorch needs to be installed to be able to return PyTorch tensors.")
		_register_unavailable_formatter(_torch_error, "torch", aliases=["pt", "pytorch"])

if config.TF_AVAILABLE:
		from .tf_formatter import TFFormatter

		_register_formatter(TFFormatter, "tensorflow", aliases=["tf"])
else:
		__UpperCamelCase					:       List[str]    					=      ValueError("Tensorflow needs to be installed to be able to return Tensorflow tensors.")
		_register_unavailable_formatter(_tf_error, "tensorflow", aliases=["tf"])

if config.JAX_AVAILABLE:
		from .jax_formatter import JaxFormatter

		_register_formatter(JaxFormatter, "jax", aliases=[])
else:
		__UpperCamelCase					:       List[str]    					=      ValueError("JAX needs to be installed to be able to return JAX arrays.")
		_register_unavailable_formatter(_jax_error, "jax", aliases=[])





def 		__A		(	__lowerCamelCase    )      ->       Optional[str]:
	if format_type in _FORMAT_TYPES_ALIASES:
		return _FORMAT_TYPES_ALIASES[format_type]
	else:
		return format_type





def 		__A		(	__lowerCamelCase							,			**__lowerCamelCase    )      ->       Formatter:
	a										=							get_format_type_from_alias(__lowerCamelCase    )
	if format_type in _FORMAT_TYPES:
		return _FORMAT_TYPES[format_type](**__lowerCamelCase    )
	if format_type in _FORMAT_TYPES_ALIASES_UNAVAILABLE:
		raise _FORMAT_TYPES_ALIASES_UNAVAILABLE[format_type]
	else:
		raise ValueError(
		    f'Return type should be None or selected in {list(type for type in _FORMAT_TYPES.keys() if type != None    )}, but got \'{format_type}\''    )

