






"""simple docstring"""





from math import factorial



class       __A		:

					def __init__(			self  :      Any     ,		__snake_case  :      Any     ,		__snake_case  :      Optional[Any]					)			->							List[Any]:
											__magic_name__:	int							=       real
											if isinstance(__snake_case     ,		__snake_case					):
																	__magic_name__:	int							=       [1] * rank
											else:
																	__magic_name__:	Union[str, Any]							=       rank

					def __repr__(			self  :      int					)			->							List[str]:
											return (
											    F'{self.real}+'
											    F'{"+".join(str(__snake_case					)+"E"+str(n+1					)for n,dual in enumerate(self.duals					)					)}'
											)

					def   lowerCamelCase__   (			self  :      Any					)			->							Optional[Any]:
											__magic_name__:	Dict							=       self.duals.copy()
											while cur[-1] == 0:
																	cur.pop(-1					)
											return Dual(self.real     ,		__snake_case					)

					def __add__(			self  :      Dict     ,		__snake_case  :      int					)			->							Any:
											if not isinstance(__snake_case     ,		__snake_case					):
																	return Dual(self.real + other     ,		self.duals					)
											__magic_name__:	Optional[Any]							=       self.duals.copy()
											__magic_name__:	str							=       other.duals.copy()
											if len(__snake_case					) > len(__snake_case					):
																	o_dual.extend([1] * (len(__snake_case					) - len(__snake_case					))					)
											elif len(__snake_case					) < len(__snake_case					):
																	s_dual.extend([1] * (len(__snake_case					) - len(__snake_case					))					)
											__magic_name__:	Any							=       []
											for i in range(len(__snake_case					)					):
																	new_duals.append(s_dual[i] + o_dual[i]					)
											return Dual(self.real + other.real     ,		__snake_case					)

					UpperCAmelCase__								=				__add__

					def __sub__(			self  :      Dict     ,		__snake_case  :      List[Any]					)			->							str:
											return self + other * -1

					def __mul__(			self  :      Optional[int]     ,		__snake_case  :      Any					)			->							Dict:
											if not isinstance(__snake_case     ,		__snake_case					):
																	__magic_name__:	Optional[int]							=       []
																	for i in self.duals:
																							new_duals.append(i * other					)
																	return Dual(self.real * other     ,		__snake_case					)
											__magic_name__:	Any							=       [0] * (len(self.duals					) + len(other.duals					) + 1)
											for i, item in enumerate(self.duals					):
																	for j, jtem in enumerate(other.duals					):
																							new_duals[i + j + 1] += item * jtem
											for k in range(len(self.duals					)					):
																	new_duals[k] += self.duals[k] * other.real
											for index in range(len(other.duals					)					):
																	new_duals[index] += other.duals[index] * self.real
											return Dual(self.real * other.real     ,		__snake_case					)

					UpperCAmelCase__								=				__mul__

					def __truediv__(			self  :      List[Any]     ,		__snake_case  :      Optional[int]					)			->							Dict:
											if not isinstance(__snake_case     ,		__snake_case					):
																	__magic_name__:	Any							=       []
																	for i in self.duals:
																							new_duals.append(i / other					)
																	return Dual(self.real / other     ,		__snake_case					)
											raise ValueError

					def __floordiv__(			self  :      Dict     ,		__snake_case  :      str					)			->							Optional[Any]:
											if not isinstance(__snake_case     ,		__snake_case					):
																	__magic_name__:	str							=       []
																	for i in self.duals:
																							new_duals.append(i // other					)
																	return Dual(self.real // other     ,		__snake_case					)
											raise ValueError






					def __pow__(			self  :      Tuple     ,		__snake_case  :      Union[str, Any]					)			->							List[str]:
											if n < 0 or isinstance(__snake_case     ,		__snake_case					):
																	raise ValueError("""power must be a positive integer"""					)
											if n == 0:
																	return 1
											if n == 1:
																	return self
											__magic_name__:	List[str]							=       self
											for _ in range(n - 1					):
																	x *= self
											return x



def   a    (     __UpperCAmelCase      :    Tuple      ,   __UpperCAmelCase      :    List[str]      ,   __UpperCAmelCase      :    List[Any]  )    ->							Optional[int]:
						if not callable(__UpperCAmelCase  ):
												raise ValueError("""differentiate() requires a function as input for func"""  )
						if not isinstance(__UpperCAmelCase      ,   (float, int)  ):
												raise ValueError("""differentiate() requires a float as input for position"""  )
						if not isinstance(__UpperCAmelCase      ,   __UpperCAmelCase  ):
												raise ValueError("""differentiate() requires an int as input for order"""  )
						__magic_name__:	Tuple							=       Dual(__UpperCAmelCase      ,   1  )
						__magic_name__:	int							=       func(__UpperCAmelCase  )
						if order == 0:
												return result.real
						return result.duals[order - 1] * factorial(__UpperCAmelCase  )


if __name__ == "__main__":
							import doctest

							doctest.testmod()



							def   a    (     __UpperCAmelCase      :    List[str]  )    ->							Optional[int]:
													return y**2 * y**4

							print(differentiate(f, 9, 2))











"""simple docstring"""





from argparse import ArgumentParser

from .env import EnvironmentCommand



def   a    (     )    ->							Tuple:
						__magic_name__:	Optional[int]							=       ArgumentParser("""Diffusers CLI tool"""      ,   usage="""diffusers-cli <command> [<args>]"""  )
						__magic_name__:	Any							=       parser.add_subparsers(help="""diffusers-cli command helpers"""  )

						# Register commands
						EnvironmentCommand.register_subcommand(__UpperCAmelCase  )

						# Let's go
						__magic_name__:	int							=       parser.parse_args()

						if not hasattr(__UpperCAmelCase      ,   """func"""  ):
												parser.print_help()
												exit(1  )

						# Run
						__magic_name__:	Optional[Any]							=       args.func(__UpperCAmelCase  )
						service.run()


if __name__ == "__main__":
							main()



