




from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
UpperCAmelCase__				     = 299792458

# Symbols
UpperCAmelCase__				     = symbols("ct x y z")







def 		_A(       UpperCamelCase__							:			float				)    -> Optional[Any]:
							'''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 		_A(       UpperCamelCase__							:			float				)    -> str:
							'''simple docstring'''


							return 1 / sqrt(1 - beta(UpperCamelCase__				) ** 2				)







def 		_A(       UpperCamelCase__							:			float				)    -> Any:
							'''simple docstring'''


							return np.array(
							    [
							        [gamma(UpperCamelCase__				), -gamma(UpperCamelCase__				) * beta(UpperCamelCase__				), 0, 0],
							        [-gamma(UpperCamelCase__				) * beta(UpperCamelCase__				), gamma(UpperCamelCase__				), 0, 0],
							        [0, 0, 1, 0],
							        [0, 0, 0, 1],
							    ]				)







def 		_A(       UpperCamelCase__							:			float				,       UpperCamelCase__							:			np.ndarray | None = None				)    -> Tuple:
							'''simple docstring'''


							if event is None:
														__lowercase      =    np.array([ct, x, y, z]				)  # Symbolic four vector
							else:
														event[0] *= c  # x0 is ct (speed of light * time)

							return transformation_matrix(UpperCamelCase__				) @ event


if __name__ == "__main__":
			import doctest

			doctest.testmod()

			# Example of symbolic vector:
			UpperCAmelCase__				     = transform(29979245)
			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}""")












from .glue import glue_convert_examples_to_features, glue_output_modes, glue_processors, glue_tasks_num_labels
from .squad import SquadExample, SquadFeatures, SquadVaProcessor, SquadVaProcessor, squad_convert_examples_to_features
from .utils import DataProcessor, InputExample, InputFeatures, SingleSentenceClassificationProcessor
from .xnli import xnli_output_modes, xnli_processors, xnli_tasks_num_labels






