


'''simple docstring'''




import math
from collections.abc import Generator

def       __UpperCamelCase     (     _A     :					int					)     ->   Generator[int, None, None]:




	"""simple docstring"""





	lowerCAmelCase       :     Generator   				=			(i for i in range(1       , (max_n + 1)					))
	for i in (n for n in numbers if n > 1):
		for j in range(2       , _A					):
			if (i % j) == 0:
				break
		else:
			yield i

def       __UpperCamelCase     (     _A     :					int					)     ->   Generator[int, None, None]:




	"""simple docstring"""





	lowerCAmelCase       :     Generator   				=			(i for i in range(1       , (max_n + 1)					))
	for i in (n for n in numbers if n > 1):
		# only need to check for factors up to sqrt(i)
		lowerCAmelCase       :     List[str]   				=			int(math.sqrt(_A					)					) + 1
		for j in range(2       , _A					):
			if (i % j) == 0:
				break
		else:
			yield i

def       __UpperCamelCase     (     _A     :					int					)     ->   Generator[int, None, None]:




	"""simple docstring"""





	lowerCAmelCase       :     Generator   				=			(i for i in range(1       , (max_n + 1)       , 2					))
	# It's useless to test even numbers as they will not be prime
	if max_n > 2:
		yield 2  # Because 2 will not be tested, it's necessary to yield it now
	for i in (n for n in numbers if n > 1):
		lowerCAmelCase       :     int   				=			int(math.sqrt(_A					)					) + 1
		for j in range(3       , _A       , 2					):
			# As we removed the even numbers, we don't need them now
			if (i % j) == 0:
				break
		else:
			yield i

def       __UpperCamelCase     (     )     ->   Dict:




	"""simple docstring"""





	from timeit import timeit

	lowerCAmelCase       :     Tuple   				=			'from __main__ import slow_primes, primes, fast_primes'
	print(timeit('slow_primes(1_000_000_000_000)'       , setup=_A       , number=1_00_00_00					)					)
	print(timeit('primes(1_000_000_000_000)'       , setup=_A       , number=1_00_00_00					)					)
	print(timeit('fast_primes(1_000_000_000_000)'       , setup=_A       , number=1_00_00_00					)					)


if __name__ == "__main__":
				_lowerCAmelCase	:		Optional[Any]		  =						int(input('Calculate primes up to:\n>> ').strip())
				for ret in primes(number):
								print(ret)
				benchmark()




'''simple docstring'''




from collections import OrderedDict
from dataclasses import fields
from typing import Any, Tuple

import numpy as np

from .import_utils import is_torch_available

def       __UpperCamelCase     (     _A     :					List[str]					)     ->   Any:




	"""simple docstring"""





	if is_torch_available():
		import torch

		if isinstance(_A       , torch.Tensor					):
			return True

	return isinstance(_A       , np.ndarray					)






class 			lowerCAmelCase					(					a				):



	def 					lowercase  (       self     ):
		lowerCAmelCase       :     List[str]   				=			fields(self     )

		# Safety and consistency checks
		if not len(snake_case__     ):
			raise ValueError(f"{self.__class__.__name__} has no fields."     )

		lowerCAmelCase       :     List[str]   				=			getattr(self			,       class_fields[0].name     )
		lowerCAmelCase       :     List[Any]   				=			all(getattr(self			,       field.name     ) is None for field in class_fields[1:]     )

		if other_fields_are_none and isinstance(snake_case__			,       snake_case__     ):
			for key, value in first_field.items():
				lowerCAmelCase       :     Optional[int]   				=			value
		else:
			for field in class_fields:
				lowerCAmelCase       :     str   				=			getattr(self			,       field.name     )
				if v is not None:
					lowerCAmelCase       :     Optional[Any]   				=			v



	def __delitem__(       self			,       *snake_case__			,       **snake_case__     ):
		raise Exception(f"You cannot use ``__delitem__`` on a {self.__class__.__name__} instance."     )



	def 					lowercase  (       self			,       *snake_case__			,       **snake_case__     ):
		raise Exception(f"You cannot use ``setdefault`` on a {self.__class__.__name__} instance."     )



	def 					lowercase  (       self			,       *snake_case__			,       **snake_case__     ):
		raise Exception(f"You cannot use ``pop`` on a {self.__class__.__name__} instance."     )



	def 					lowercase  (       self			,       *snake_case__			,       **snake_case__     ):
		raise Exception(f"You cannot use ``update`` on a {self.__class__.__name__} instance."     )



	def __getitem__(       self			,       snake_case__     ):
		if isinstance(snake_case__			,       snake_case__     ):
			lowerCAmelCase       :     Dict   				=			dict(self.items()     )
			return inner_dict[k]
		else:
			return self.to_tuple()[k]



	def __setattr__(       self			,       snake_case__			,       snake_case__     ):
		if name in self.keys() and value is not None:
			# Don't call self.__setitem__ to avoid recursion errors
			super().__setitem__(snake_case__			,       snake_case__     )
		super().__setattr__(snake_case__			,       snake_case__     )



	def __setitem__(       self			,       snake_case__			,       snake_case__     ):
		# Will raise a KeyException if needed
		super().__setitem__(snake_case__			,       snake_case__     )
		# Don't call self.__setattr__ to avoid recursion errors
		super().__setattr__(snake_case__			,       snake_case__     )



	def 					lowercase  (       self     ):
		return tuple(self[k] for k in self.keys()     )
