'''simple docstring'''

import logging

from transformers.configuration_utils import PretrainedConfig


_A			:      Dict					      =				logging.getLogger(__name__)







class 				_lowercase     (				UpperCAmelCase__			):


 '''simple docstring'''






 _SCREAMING_SNAKE_CASE     :       Any      	=					"""masked_bert"""
 def __init__(      self   :	int      ,       SCREAMING_SNAKE_CASE__   :	str=3_05_22      ,       SCREAMING_SNAKE_CASE__   :	Tuple=7_68      ,       SCREAMING_SNAKE_CASE__   :	Tuple=12      ,       SCREAMING_SNAKE_CASE__   :	Optional[int]=12      ,       SCREAMING_SNAKE_CASE__   :	List[str]=30_72      ,       SCREAMING_SNAKE_CASE__   :	str="gelu"      ,       SCREAMING_SNAKE_CASE__   :	Optional[Any]=0.1      ,       SCREAMING_SNAKE_CASE__   :	List[Any]=0.1      ,       SCREAMING_SNAKE_CASE__   :	Tuple=5_12      ,       SCREAMING_SNAKE_CASE__   :	Optional[int]=2      ,       SCREAMING_SNAKE_CASE__   :	Optional[int]=0.0_2      ,       SCREAMING_SNAKE_CASE__   :	Any=1e-1_2      ,       SCREAMING_SNAKE_CASE__   :	Optional[Any]=0      ,       SCREAMING_SNAKE_CASE__   :	List[str]="topK"      ,       SCREAMING_SNAKE_CASE__   :	int="constant"      ,       SCREAMING_SNAKE_CASE__   :	Union[str, Any]=0.0      ,       **SCREAMING_SNAKE_CASE__   :	Union[str, Any]      ,       )  ->    int:
  super().__init__(pad_token_id=SCREAMING_SNAKE_CASE__      ,       **SCREAMING_SNAKE_CASE__							)

  __lowerCAmelCase											=						vocab_size
  __lowerCAmelCase											=						hidden_size
  __lowerCAmelCase											=						num_hidden_layers
  __lowerCAmelCase											=						num_attention_heads
  __lowerCAmelCase											=						hidden_act
  __lowerCAmelCase											=						intermediate_size
  __lowerCAmelCase											=						hidden_dropout_prob
  __lowerCAmelCase											=						attention_probs_dropout_prob
  __lowerCAmelCase											=						max_position_embeddings
  __lowerCAmelCase											=						type_vocab_size
  __lowerCAmelCase											=						initializer_range
  __lowerCAmelCase											=						layer_norm_eps
  __lowerCAmelCase											=						pruning_method
  __lowerCAmelCase											=						mask_init
  __lowerCAmelCase											=						mask_scale







'''simple docstring'''

from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
_A			:      List[Any]					      =				299792458

# Symbols
_A      ,     _A      ,     _A      ,     _A			:      Union[str, Any]					      =				symbols('''ct x y z''')







def      UpperCamelCase_						(					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      UpperCamelCase_						(					snake_case_       :       float      )					->     float:






 '''simple docstring'''

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







def      UpperCamelCase_						(					snake_case_       :       float      )					->     np.ndarray:






 '''simple docstring'''

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







def      UpperCamelCase_						(					snake_case_       :       float						,		snake_case_       :       np.ndarray | None = None      )					->     np.ndarray:






 '''simple docstring'''

 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(snake_case_      ) @ event


if __name__ == "__main__":
 import doctest

 doctest.testmod()

 # Example of symbolic vector:
 _A			:      str					      =				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
 _A			:      int					      =				{ct: c, x: 1, y: 1, z: 1}
 _A			:      Any					      =				[four_vector[i].subs(sub_dict) for i in range(4)]

 print(f'\n{numerical_vector}')






