
'''simple docstring'''







import math







def 				SCREAMING_SNAKE_CASE__	(   __A			,				__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 				SCREAMING_SNAKE_CASE__	(   __A			,				__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'''







from ...utils import is_torch_available, is_transformers_available


if is_transformers_available() and is_torch_available():
					from .pipeline_vq_diffusion import LearnedClassifierFreeSamplingEmbeddings, VQDiffusionPipeline

