



from math import pi, sqrt






def  UpperCAmelCase__    (    lowercase__   ) ->      float:
						if num <= 0:
												raise ValueError("""math domain error"""   )
						if num > 171.5:
												raise OverflowError("""math range error"""   )
						elif num - int(lowercase__   ) not in (0, 0.5):
												raise NotImplementedError("""num must be an integer or a half-integer"""   )
						elif num == 0.5:
												return sqrt(lowercase__   )
						else:
												return 1.0 if num == 1 else (num - 1) * gamma(num - 1   )






def  UpperCAmelCase__    (    ) ->      None:
						assert gamma(0.5   ) == sqrt(lowercase__   )
						assert gamma(1   ) == 1.0
						assert gamma(2   ) == 1.0


if __name__ == "__main__":
			from doctest import testmod

			testmod()
			UpperCamelCase__ =						1.0
			while num:
						UpperCamelCase__ =						float(input("Gamma of: "))
						print(F"""gamma({num}) = {gamma(num)}""")
						print("\nEnter 0 to exit...")










import importlib
import os
from dataclasses import dataclass
from enum import Enum
from typing import Any, Dict, Optional, Union

import torch

from ..utils import BaseOutput


UpperCamelCase__ =						"scheduler_config.json"
class 			_lowerCAmelCase   ( _UpperCAmelCase			):






			"""simple docstring"""





			lowercase__      :  List[Any]      =			1
			lowercase__      :  Tuple      =			2
			lowercase__      :  Union[str, Any]      =			3
			lowercase__      :  Union[str, Any]      =			4
			lowercase__      :  str      =			5
			lowercase__      :  Any      =			6
			lowercase__      :  Any      =			7
			lowercase__      :  List[str]      =			8
			lowercase__      :  Union[str, Any]      =			9
			lowercase__      :  int      =			10
			lowercase__      :  List[str]      =			11
			lowercase__      :  List[Any]      =			12
			lowercase__      :  str      =			13
			lowercase__      :  Optional[int]      =			14





@dataclass
class 			_lowerCAmelCase   ( _UpperCAmelCase			):






			"""simple docstring"""





			lowercase__      :  torch.FloatTensor





class 			_lowerCAmelCase   :






			"""simple docstring"""





			lowercase__      :  Optional[int]      =			SCHEDULER_CONFIG_NAME
			lowercase__      :  int      =			[]
			lowercase__      :  Dict      =			True





			@classmethod
			def 		snake_case__			(				cls	:       str			,     lowercase	:       Dict[str, Any] = None			,     lowercase	:       Optional[str] = None			,     lowercase	:       Any=False			,     **lowercase	:       List[str]			,     )						->					Union[str, Any]:
									"""simple docstring"""







									__lowercase	,			__lowercase	,			__lowercase					=				cls.load_config(
									    pretrained_model_name_or_path=lowercase			,     subfolder=lowercase			,     return_unused_kwargs=lowercase			,     return_commit_hash=lowercase			,     **lowercase			,     )
									return cls.from_config(lowercase			,     return_unused_kwargs=lowercase			,     **lowercase   )





			def 		snake_case__			(				self	:       Dict			,     lowercase	:       Union[str, os.PathLike]			,     lowercase	:       bool = False			,     **lowercase	:       List[str]   )						->					Optional[Any]:
									"""simple docstring"""







									self.save_config(save_directory=lowercase			,     push_to_hub=lowercase			,     **lowercase   )





			@property
			def 		snake_case__			(				self	:       Optional[Any]   )						->					Dict:
									"""simple docstring"""







									return self._get_compatibles()







			@classmethod
			def 		snake_case__			(				cls	:       List[str]   )						->					Union[str, Any]:
									"""simple docstring"""







									__lowercase					=				list(set([cls.__name__] + cls._compatibles   )   )
									__lowercase					=				importlib.import_module(__name__.split("""."""   )[0]   )
									__lowercase					=				[
									    getattr(lowercase			,     lowercase   ) for c in compatible_classes_str if hasattr(lowercase			,     lowercase   )
									]
									return compatible_classes





