


"""simple docstring"""




from dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import Features, Sequence, Value
from .base import TaskTemplate
@dataclass(frozen=lowerCamelCase_    )
class 					lowerCAmelCase	(					lowerCamelCase_    ):




		'''simple docstring'''







		SCREAMING_SNAKE_CASE_						:     str								=     field(default="""question-answering-extractive"""	,    metadata={"""include_in_asdict_even_if_is_default""": True}    )
		SCREAMING_SNAKE_CASE_						:     ClassVar[Features]								=     Features({"""question""": Value("""string"""    ), """context""": Value("""string"""    )}    )
		SCREAMING_SNAKE_CASE_						:     ClassVar[Features]								=     Features(
		    {
		        """answers""": Sequence(
		            {
		                """text""": Value("""string"""    ),
		                """answer_start""": Value("""int32"""    ),
		            }    )
		    }    )
		SCREAMING_SNAKE_CASE_						:     str								=     "question"
		SCREAMING_SNAKE_CASE_						:     str								=     "context"
		SCREAMING_SNAKE_CASE_						:     str								=     "answers"







		@property
		def 							__A						(	self				)     ->							Dict[str, str]:
								return {self.question_column: "question", self.context_column: "context", self.answers_column: "answers"}






"""simple docstring"""




from __future__ import annotations

from collections.abc import Callable


def     lowercase			(SCREAMING_SNAKE_CASE_		:				Callable[[int | float], int | float] ,			SCREAMING_SNAKE_CASE_		:				int | float ,			SCREAMING_SNAKE_CASE_		:				int | float ,			SCREAMING_SNAKE_CASE_		:				int = 1_00 ,			)   ->						float:
						SCREAMING_SNAKE_CASE													=					x_start
						SCREAMING_SNAKE_CASE													=					fnc(SCREAMING_SNAKE_CASE_  )
						SCREAMING_SNAKE_CASE													=					0.0
						for _ in range(SCREAMING_SNAKE_CASE_  ):
												# Approximates small segments of curve as linear and solve
												# for trapezoidal area
												SCREAMING_SNAKE_CASE													=					(x_end - x_start) / steps + xa
												SCREAMING_SNAKE_CASE													=					fnc(SCREAMING_SNAKE_CASE_  )
												area += abs(fxa + fxa  ) * (xa - xa) / 2
												# Increment step
												SCREAMING_SNAKE_CASE													=					xa
												SCREAMING_SNAKE_CASE													=					fxa
						return area


if __name__ == "__main__":


	def     lowercase			(SCREAMING_SNAKE_CASE_		:				Optional[int]  )   ->						Dict:
							return x**3 + x**2

	print('''f(x) = x^3 + x^2''')
	print('''The area between the curve, x = -5, x = 5 and the x axis is:''')
	__UpperCamelCase						=      10
	while i <= 100000:
		print(f'''with {i} steps: {trapezoidal_area(f, -5, 5, i)}''')
		i *= 10


