





from math import pi, sqrt
def  UpperCamelCase						(       _A			:				float    )->       float:





						"""simple docstring"""





						if num <= 0:
												raise ValueError("math domain error"    )
						if num > 171.5:
												raise OverflowError("math range error"    )
						elif num - int(_A    ) not in (0, 0.5):
												raise NotImplementedError("num must be an integer or a half-integer"    )
						elif num == 0.5:
												return sqrt(_A    )
						else:
												return 1.0 if num == 1 else (num - 1) * gamma(num - 1    )
def  UpperCamelCase						(       )->       None:





						"""simple docstring"""





						assert gamma(0.5    ) == sqrt(_A    )
						assert gamma(1    ) == 1.0
						assert gamma(2    ) == 1.0


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

						testmod()
						UpperCAmelCase_							:      List[str]      =  1.0
						while num:
												UpperCAmelCase_							:      Tuple      =  float(input("Gamma of: "))
												print(F'''gamma({num}) = {gamma(num)}''')
												print("\nEnter 0 to exit...")










import math
def  UpperCamelCase						(       _A			:				float			,							_A			:				float    )->       float:





						"""simple docstring"""





						if (
						    not isinstance(_A			,							(int, float)    )
						    or power_factor < -1
						    or power_factor > 1
						):
												raise ValueError("power_factor must be a valid float value between -1 and 1."    )
						return apparent_power * power_factor
def  UpperCamelCase						(       _A			:				float			,							_A			:				float    )->       float:





						"""simple docstring"""





						if (
						    not isinstance(_A			,							(int, float)    )
						    or power_factor < -1
						    or power_factor > 1
						):
												raise ValueError("power_factor must be a valid float value between -1 and 1."    )
						return apparent_power * math.sqrt(1 - power_factor**2    )


if __name__ == "__main__":
						import doctest

						doctest.testmod()





