'''simple docstring'''






from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
SCREAMING_SNAKE_CASE_	   =			2_99_79_24_58

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






def  UpperCamelCase__					(					_lowercase    :				float     )							->	float:
  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  UpperCamelCase__					(					_lowercase    :				float     )							->	float:
  return 1 / sqrt(1 - beta(_lowercase     ) ** 2     )






def  UpperCamelCase__					(					_lowercase    :				float     )							->	np.ndarray:
  return np.array(
      [
          [gamma(_lowercase     ), -gamma(_lowercase     ) * beta(_lowercase     ), 0, 0],
          [-gamma(_lowercase     ) * beta(_lowercase     ), gamma(_lowercase     ), 0, 0],
          [0, 0, 1, 0],
          [0, 0, 0, 1],
      ]     )






def  UpperCamelCase__					(					_lowercase    :				float   ,    _lowercase    :				np.ndarray | None = None     )							->	np.ndarray:
  # Ensure event is not empty
  if event is None:
    __UpperCAmelCase:					int		= np.array([ct, x, y, z]     )  # Symbolic four vector
  else:
    event[0] *= c  # x0 is ct (speed of light * time)

  return transformation_matrix(_lowercase     ) @ event


if __name__ == "__main__":
    import doctest

    doctest.testmod()

    # Example of symbolic vector:
    SCREAMING_SNAKE_CASE_	   =			transform(29_97_92_45)
    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
    SCREAMING_SNAKE_CASE_	   =			{ct: c, x: 1, y: 1, z: 1}
    SCREAMING_SNAKE_CASE_	   =			[four_vector[i].subs(sub_dict) for i in range(4)]

    print(F"""\n{numerical_vector}""")
'''simple docstring'''






from ....utils import logging


SCREAMING_SNAKE_CASE_	   =			logging.get_logger(__name__)




class    a (       __lowerCAmelCase				):



  """simple docstring"""







  def __init__(							self   ,    snake_case_   ,    snake_case_=None   ,    snake_case_=2048					):

    '''simple docstring'''







    __UpperCAmelCase:					List[str]		= config.__dict__
    __UpperCAmelCase:					str		= modal_hidden_size
    if num_labels:
      __UpperCAmelCase:					int		= num_labels