
'''simple docstring'''







import doctest
from collections import deque

import numpy as np


class 		__UpperCAmelCase   :


							def __init__( self						):





								"""simple docstring"""






								_snake_case     		=	[2, 1, 2, -1]
								_snake_case     		=	[1, 2, 3, 4]




							def 				lowerCamelCase       ( self						):





								"""simple docstring"""






								_snake_case     		=	len(self.first_signal						)
								_snake_case     		=	len(self.second_signal						)

								_snake_case     		=	max(lowerCAmelCase_					,     lowerCAmelCase_						)

								# create a zero matrix of max_length x max_length
								_snake_case     		=	[[0] * max_length for i in range(lowerCAmelCase_						)]

								# fills the smaller signal with zeros to make both signals of same length
								if length_first_signal < length_second_signal:
									self.first_signal += [0] * (max_length - length_first_signal)
								elif length_first_signal > length_second_signal:
									self.second_signal += [0] * (max_length - length_second_signal)
								for i in range(lowerCAmelCase_						):
									_snake_case     		=	deque(self.second_signal						)
									rotated_signal.rotate(lowerCAmelCase_						)
									for j, item in enumerate(lowerCAmelCase_						):
										matrix[i][j] += item

        # multiply the matrix with the first signal
								_snake_case     		=	np.matmul(np.transpose(lowerCAmelCase_						)					,     np.transpose(self.first_signal						)						)

								# rounding-off to two decimal places
								return [round(lowerCAmelCase_					,     2						) for i in final_signal]


if __name__ == "__main__":
					doctest.testmod()



'''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()

