def   __lowerCamelCase	(       lowerCamelCase__		:	int     ,       lowerCamelCase__		:	int = 1000			):





			'''simple docstring'''




			if (not isinstance(lowerCamelCase__     ,       lowerCamelCase__			)) or (digit_position <= 0):
						raise ValueError("""Digit position must be a positive integer"""			)
			elif (not isinstance(lowerCamelCase__     ,       lowerCamelCase__			)) or (precision < 0):
						raise ValueError("""Precision must be a nonnegative integer"""			)

			# compute an approximation of (16 ** (n - 1)) * pi whose fractional part is mostly
			# accurate
			lowerCamelCase								=     (
			    4 * _subsum(lowerCamelCase__     ,       1     ,       lowerCamelCase__			)
			    - 2 * _subsum(lowerCamelCase__     ,       4     ,       lowerCamelCase__			)
			    - _subsum(lowerCamelCase__     ,       5     ,       lowerCamelCase__			)
			    - _subsum(lowerCamelCase__     ,       6     ,       lowerCamelCase__			)
			)

			# return the first hex digit of the fractional part of the result
			return hex(int((sum_result % 1) * 16			)			)[2:]






def   __lowerCamelCase	(       lowerCamelCase__		:	int     ,       lowerCamelCase__		:	int     ,       lowerCamelCase__		:	int			):





			'''simple docstring'''




			lowerCamelCase								=     0.0
			for sum_index in range(digit_pos_to_extract + precision			):
						lowerCamelCase								=     8 * sum_index + denominator_addend
						if sum_index < digit_pos_to_extract:
									# if the exponential term is an integer and we mod it by the denominator
									# before dividing, only the integer part of the sum will change;
									# the fractional part will not
									lowerCamelCase								=     pow(
									    16     ,       digit_pos_to_extract - 1 - sum_index     ,       lowerCamelCase__			)
						else:
									lowerCamelCase								=     pow(16     ,       digit_pos_to_extract - 1 - sum_index			)
						total += exponential_term / denominator
			return total


if __name__ == "__main__":
		import doctest

		doctest.testmod()





import abc
import copy
import dataclasses
from dataclasses import dataclass
from typing import ClassVar, Dict, Type, TypeVar

from ..features import Features


UpperCAmelCase      :						List[Any]    =		TypeVar("T", bound="TaskTemplate")







@dataclass(frozen=a_     )
class 					__lowercase					(       abc.ABC     ):



		"""simple docstring"""

		UpperCamelCase    :				str
		UpperCamelCase    :				ClassVar[Features]
		UpperCamelCase    :				ClassVar[Features]







		def 				__A      (   self		,			A  )     ->   T:







					'''simple docstring'''







					return copy.deepcopy(self  )







		@property
		def 				__A      (   self  )     ->   Features:







					'''simple docstring'''







					return Features(**self.input_schema		,			**self.label_schema  )







		@property
		@abc.abstractmethod
		def 				__A      (   self  )     ->   Dict[str, str]:







					'''simple docstring'''







					raise NotImplementedError







		@classmethod
		def 				__A      (   cls		,			A  )     ->   T:







					'''simple docstring'''







					lowerCamelCase								=     {f.name for f in dataclasses.fields(cls  )}
					return cls(**{k: v for k, v in template_dict.items() if k in field_names}  )

