




from math import factorial






class       SCREAMING_SNAKE_CASE__					:


						def __init__(							self				:			int						,						lowerCAmelCase				:			Union[str, Any]						,						lowerCAmelCase				:			str					):
										lowerCAmelCase  =				real
										if isinstance(lowerCamelCase__						,						lowerCamelCase__					):
														lowerCAmelCase  =				[1] * rank
										else:
														lowerCAmelCase  =				rank


						def __repr__(							self				:			str					):
										return (
										    f'''{self.real}+'''
										    f'''{'+'.join(str(lowerCamelCase__					)+'E'+str(n+1					)for n,dual in enumerate(self.duals					)					)}'''
										)


						def   __lowercase (							self				:			Dict					):
										lowerCAmelCase  =				self.duals.copy()
										while cur[-1] == 0:
														cur.pop(-1					)
										return Dual(self.real						,						lowerCamelCase__					)


						def __add__(							self				:			Dict						,						lowerCAmelCase				:			List[Any]					):







										if not isinstance(lowerCamelCase__						,						lowerCamelCase__					):
														return Dual(self.real + other						,						self.duals					)
										lowerCAmelCase  =				self.duals.copy()
										lowerCAmelCase  =				other.duals.copy()
										if len(lowerCamelCase__					) > len(lowerCamelCase__					):
														o_dual.extend([1] * (len(lowerCamelCase__					) - len(lowerCamelCase__					))					)
										elif len(lowerCamelCase__					) < len(lowerCamelCase__					):
														s_dual.extend([1] * (len(lowerCamelCase__					) - len(lowerCamelCase__					))					)
										lowerCAmelCase  =				[]
										for i in range(len(lowerCamelCase__					)					):
														new_duals.append(s_dual[i] + o_dual[i]					)
										return Dual(self.real + other.real						,						lowerCamelCase__					)

						_a    						=						__add__


						def __sub__(							self				:			List[Any]						,						lowerCAmelCase				:			Union[str, Any]					):
										return self + other * -1


						def __mul__(							self				:			List[str]						,						lowerCAmelCase				:			Optional[Any]					):







										if not isinstance(lowerCamelCase__						,						lowerCamelCase__					):
														lowerCAmelCase  =				[]
														for i in self.duals:
																		new_duals.append(i * other					)
														return Dual(self.real * other						,						lowerCamelCase__					)
										lowerCAmelCase  =				[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						,						lowerCamelCase__					)

						_a    						=						__mul__


						def __truediv__(							self				:			Optional[Any]						,						lowerCAmelCase				:			List[Any]					):







										if not isinstance(lowerCamelCase__						,						lowerCamelCase__					):
														lowerCAmelCase  =				[]
														for i in self.duals:
																		new_duals.append(i / other					)
														return Dual(self.real / other						,						lowerCamelCase__					)
										raise ValueError


						def __floordiv__(							self				:			str						,						lowerCAmelCase				:			str					):







										if not isinstance(lowerCamelCase__						,						lowerCamelCase__					):
														lowerCAmelCase  =				[]
														for i in self.duals:
																		new_duals.append(i // other					)
														return Dual(self.real // other						,						lowerCamelCase__					)
										raise ValueError




						def __pow__(							self				:			Tuple						,						lowerCAmelCase				:			Optional[Any]					):







										if n < 0 or isinstance(lowerCamelCase__						,						lowerCamelCase__					):
														raise ValueError("""power must be a positive integer"""					)
										if n == 0:
														return 1
										if n == 1:
														return self
										lowerCAmelCase  =				self
										for _ in range(n - 1					):
														x *= self
										return x





def 							lowercase					(snake_case__   : Optional[int]      ,       snake_case__   : Dict      ,       snake_case__   : Optional[int] )     ->  Tuple:


				'''simple docstring'''






				if not callable(__lowerCAmelCase ):
								raise ValueError("""differentiate() requires a function as input for func""" )
				if not isinstance(__lowerCAmelCase      ,       (float, int) ):
								raise ValueError("""differentiate() requires a float as input for position""" )
				if not isinstance(__lowerCAmelCase      ,       __lowerCAmelCase ):
								raise ValueError("""differentiate() requires an int as input for order""" )
				lowerCAmelCase  =				Dual(__lowerCAmelCase      ,       1 )
				lowerCAmelCase  =				func(__lowerCAmelCase )
				if order == 0:
								return result.real
				return result.duals[order - 1] * factorial(__lowerCAmelCase )


if __name__ == "__main__":
		import doctest

		doctest.testmod()





		def 							lowercase					(snake_case__   : List[Any] )     ->  Optional[Any]:


						'''simple docstring'''






						return y**2 * y**4






		print(differentiate(f, 9, 2))











"""simple docstring"""







# Copyright 2021 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

import argparse
import os

from accelerate.utils import ComputeEnvironment

from .cluster import get_cluster_input
from .config_args import cache_dir, default_config_file, default_yaml_config_file, load_config_from_file  # noqa: F401
from .config_utils import _ask_field, _ask_options, _convert_compute_environment  # noqa: F401
from .sagemaker import get_sagemaker_input


a      =							'Launches a series of prompts to create and save a `default_config.yaml` configuration file for your training system. Should always be ran first on your machine'





def 							lowercase					()     ->  Optional[Any]:


				'''simple docstring'''






				lowerCAmelCase  =				_ask_options(
				    """In which compute environment are you running?"""      ,       ["""This machine""", """AWS (Amazon SageMaker)"""]      ,       _convert_compute_environment      ,       )
				if compute_environment == ComputeEnvironment.AMAZON_SAGEMAKER:
								lowerCAmelCase  =				get_sagemaker_input()
				else:
								lowerCAmelCase  =				get_cluster_input()
				return config





def 							lowercase					(snake_case__   : List[str]=None )     ->  int:


				'''simple docstring'''






				if subparsers is not None:
								lowerCAmelCase  =				subparsers.add_parser("""config"""      ,       description=snake_case__ )
				else:
								lowerCAmelCase  =				argparse.ArgumentParser("""Accelerate config command"""      ,       description=snake_case__ )

				parser.add_argument(
				    """--config_file"""      ,       default=snake_case__      ,       help=(
				        """The path to use to store the config file. Will default to a file named default_config.yaml in the cache """
				        """location, which is the content of the environment `HF_HOME` suffixed with 'accelerate', or if you don't have """
				        """such an environment variable, your cache directory ('~/.cache' or the content of `XDG_CACHE_HOME`) suffixed """
				        """with 'huggingface'."""
				    )      ,       )

				if subparsers is not None:
								parser.set_defaults(func=snake_case__ )
				return parser





def 							lowercase					(snake_case__   : str )     ->  Optional[Any]:


				'''simple docstring'''






				lowerCAmelCase  =				get_user_input()
				if args.config_file is not None:
								lowerCAmelCase  =				args.config_file
				else:
								if not os.path.isdir(snake_case__ ):
												os.makedirs(snake_case__ )
								lowerCAmelCase  =				default_yaml_config_file

				if config_file.endswith(""".json""" ):
								config.to_json_file(snake_case__ )
				else:
								config.to_yaml_file(snake_case__ )
				print(f'''accelerate configuration saved at {config_file}''' )





def 							lowercase					()     ->  Optional[int]:


				'''simple docstring'''






				lowerCAmelCase  =				config_command_parser()
				lowerCAmelCase  =				parser.parse_args()
				config_command(snake_case__ )


if __name__ == "__main__":
		main()





