



'''simple docstring'''

from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
UpperCAmelCase     		=   2_9979_2458

# Symbols
UpperCAmelCase		,       UpperCAmelCase		,       UpperCAmelCase		,       UpperCAmelCase     		=   symbols('ct x y z')






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						float							)      ->						float:







	"""simple docstring"""
	if velocity > c:
		raise ValueError("""Speed must not exceed light speed 299,792,458 [m/s]!"""							)
	elif velocity < 1:
		# Usually the speed should be much higher than 1 (c order of magnitude)
		raise ValueError("""Speed must be greater than or equal to 1!"""							)

	return velocity / c






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						float							)      ->						float:







	"""simple docstring"""
	return 1 / sqrt(1 - beta(_SCREAMING_SNAKE_CASE							) ** 2							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						float							)      ->						np.ndarray:







	"""simple docstring"""
	return np.array(
	    [
	        [gamma(_SCREAMING_SNAKE_CASE							), -gamma(_SCREAMING_SNAKE_CASE							) * beta(_SCREAMING_SNAKE_CASE							), 0, 0],
	        [-gamma(_SCREAMING_SNAKE_CASE							) * beta(_SCREAMING_SNAKE_CASE							), gamma(_SCREAMING_SNAKE_CASE							), 0, 0],
	        [0, 0, 1, 0],
	        [0, 0, 0, 1],
	    ]							)






def 		_snake_case		( _SCREAMING_SNAKE_CASE					:						float							,		_SCREAMING_SNAKE_CASE					:						np.ndarray | None = None							)      ->						np.ndarray:







	"""simple docstring"""
	# Ensure event is not empty
	if event is None:
		lowerCAmelCase   =     np.array([ct, x, y, z]							)  # Symbolic four vector
	else:
		event[0] *= c  # x0 is ct (speed of light * time)

	return transformation_matrix(_SCREAMING_SNAKE_CASE							) @ event


if __name__ == "__main__":
				import doctest

				doctest.testmod()

				# Example of symbolic vector:
				UpperCAmelCase     		=   transform(2997_9245)
				print('Example of four vector: ')
				print(F'''ct\' = {four_vector[0]}''')
				print(F'''x\' = {four_vector[1]}''')
				print(F'''y\' = {four_vector[2]}''')
				print(F'''z\' = {four_vector[3]}''')

				# Substitute symbols with numerical values
				UpperCAmelCase     		=   {ct: c, x: 1, y: 1, z: 1}
				UpperCAmelCase     		=   [four_vector[i].subs(sub_dict) for i in range(4)]

				print(F'''\n{numerical_vector}''')




'''simple docstring'''

from ...configuration_utils import PretrainedConfig
from ...utils import logging


UpperCAmelCase     		=   logging.get_logger(__name__)

class __snake_case(				_lowerCAmelCase ):


						'''simple docstring'''



						UpperCAmelCase							:   Optional[int]									=		"timm_backbone"


						def __init__( self     ,	A_=None     ,	A_=3     ,	A_=True     ,	A_=True     ,	A_=None     ,	**A_     ,	)     ->     int:
							super().__init__(**A_				)
							lowerCAmelCase   =     backbone
							lowerCAmelCase   =     num_channels
							lowerCAmelCase   =     features_only
							lowerCAmelCase   =     use_pretrained_backbone
							lowerCAmelCase   =     True
							lowerCAmelCase   =     out_indices if out_indices is not None else (-1,)