

'''simple docstring'''





from math import pi, sqrt






def 				_lowerCAmelCase			(   __magic_name__						:     float						)				->  float:
						if num <= 0:
												raise ValueError('''math domain error'''						)
						if num > 1_7_1.5:
												raise OverflowError('''math range error'''						)
						elif num - int(__magic_name__						) not in (0, 0.5):
												raise NotImplementedError('''num must be an integer or a half-integer'''						)
						elif num == 0.5:
												return sqrt(__magic_name__						)
						else:
												return 1.0 if num == 1 else (num - 1) * gamma(num - 1						)






def 				_lowerCAmelCase			(   )				->  None:
						assert gamma(0.5						) == sqrt(__magic_name__						)
						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...""")










"""simple docstring"""







from ..utils import DummyObject, requires_backends

class       _a  ( metaclass=SCREAMING_SNAKE_CASE__):
			__magic_name__     					=     ["""keras_nlp"""]



			def __init__(			self							:				int   ,	*_lowercase							:				Optional[int]   ,	**_lowercase							:				Dict		)							->					List[Any]:
									requires_backends(self   ,	["keras_nlp"]		)



