from ..utils import DummyObject, requires_backends



class        lowercase_  (  metaclass=SCREAMING_SNAKE_CASE_						):



	"""simple docstring"""





	UpperCAmelCase_  : Dict       =    ["torch", "librosa"]


	def __init__(							self		,      *__SCREAMING_SNAKE_CASE		,      **__SCREAMING_SNAKE_CASE    )						->List[Any]:
								requires_backends(self		,      ['''torch''', '''librosa''']    )


	@classmethod
	def       SCREAMING_SNAKE_CASE_    (							cls		,      *__SCREAMING_SNAKE_CASE		,      **__SCREAMING_SNAKE_CASE    )						->Any:
								requires_backends(cls		,      ['''torch''', '''librosa''']    )




	@classmethod
	def       SCREAMING_SNAKE_CASE_    (							cls		,      *__SCREAMING_SNAKE_CASE		,      **__SCREAMING_SNAKE_CASE    )						->str:
								requires_backends(cls		,      ['''torch''', '''librosa''']    )



class        lowercase_  (  metaclass=SCREAMING_SNAKE_CASE_						):



	"""simple docstring"""





	UpperCAmelCase_  : Optional[int]       =    ["torch", "librosa"]


	def __init__(							self		,      *__SCREAMING_SNAKE_CASE		,      **__SCREAMING_SNAKE_CASE    )						->Union[str, Any]:
								requires_backends(self		,      ['''torch''', '''librosa''']    )


	@classmethod
	def       SCREAMING_SNAKE_CASE_    (							cls		,      *__SCREAMING_SNAKE_CASE		,      **__SCREAMING_SNAKE_CASE    )						->Optional[int]:
								requires_backends(cls		,      ['''torch''', '''librosa''']    )




	@classmethod
	def       SCREAMING_SNAKE_CASE_    (							cls		,      *__SCREAMING_SNAKE_CASE		,      **__SCREAMING_SNAKE_CASE    )						->Optional[int]:
								requires_backends(cls		,      ['''torch''', '''librosa''']    )




import random




class        lowercase_  :



	"""simple docstring"""





	def __init__(							self		,      __SCREAMING_SNAKE_CASE		,      __SCREAMING_SNAKE_CASE    )						->None:
								lowerCAmelCase     		=		x
								lowerCAmelCase     		=		y


	def       SCREAMING_SNAKE_CASE_    (							self    )						->bool:
								return (self.x**2 + self.y**2) <= 1




	@classmethod
	def       SCREAMING_SNAKE_CASE_    (							cls    )						->Tuple:
								return cls(x=random.random()		,      y=random.random()    )

def        SCREAMING_SNAKE_CASE_					(						snake_case__							)					->     float:
							if number_of_simulations < 1:
														raise ValueError('''At least one simulation is necessary to estimate PI.'''							)

							lowerCAmelCase     		=		0
							for _ in range(snake_case__							):
														lowerCAmelCase     		=		Point.random_unit_square()

														if random_point.is_in_unit_circle():
																					number_in_unit_circle += 1

							return 4 * number_in_unit_circle / number_of_simulations


if __name__ == "__main__":
	# import doctest

	# doctest.testmod()
	from math import pi

	lowercase__      :    int          =     '''Please enter the desired number of Monte Carlo simulations: '''
	lowercase__      :    Dict          =     estimate_pi(int(input(prompt).strip()))
	print(f'An estimate of PI is {my_pi} with an error of {abs(my_pi - pi)}')



