





'''simple docstring'''






import math






def      __A						(							a_						:  float      ,a_						:  float	):
						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      __A						(							a_						:  float      ,a_						:  float	):
						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()










'''simple docstring'''






import numpy as np






def      __A						(							a_						:  np.array	):
		return (2 / (1 + np.exp(-2 * vector	))) - 1


if __name__ == "__main__":
					import doctest

					doctest.testmod()



