






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        _snake_case   (_snake_case				:       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        _snake_case   (_snake_case				:       float)					->	float:
   return 1 / sqrt(1 - beta(_snake_case) ** 2)





def        _snake_case   (_snake_case				:       float)					->	np.ndarray:
   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        _snake_case   (_snake_case				:       float      ,    _snake_case				:       np.ndarray | None = None)					->	np.ndarray:
   # Ensure event is not empty
   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(_snake_case) @ 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}''')










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


_SCREAMING_SNAKE_CASE   =  logging.get_logger(__name__)

_SCREAMING_SNAKE_CASE   =  {
    "uw-madison/mra-base-512-4": "https://huggingface.co/uw-madison/mra-base-512-4/resolve/main/config.json",
}






class 					SCREAMING_SNAKE_CASE_  (       _a ):
       """simple docstring"""


       __lowerCAmelCase    :		str					='''mra'''





       def __init__(				self	:Any,      snake_case	:List[str]=5_0265,      snake_case	:List[Any]=768,      snake_case	:Optional[Any]=12,      snake_case	:Optional[Any]=12,      snake_case	:str=3072,      snake_case	:Tuple="gelu",      snake_case	:Optional[int]=0.1,      snake_case	:int=0.1,      snake_case	:Any=512,      snake_case	:Union[str, Any]=1,      snake_case	:Union[str, Any]=0.0_2,      snake_case	:List[Any]=1e-5,      snake_case	:Optional[int]="absolute",      snake_case	:Optional[int]=4,      snake_case	:str="full",      snake_case	:Optional[int]=0,      snake_case	:List[Any]=0,      snake_case	:int=1,      snake_case	:List[Any]=0,      snake_case	:Dict=2,      **snake_case	:Dict,      ):



          """simple docstring"""

          super().__init__(pad_token_id=snake_case,      bos_token_id=snake_case,      eos_token_id=snake_case,      **snake_case)

          _lowercase              =vocab_size
          _lowercase              =max_position_embeddings
          _lowercase              =hidden_size
          _lowercase              =num_hidden_layers
          _lowercase              =num_attention_heads
          _lowercase              =intermediate_size
          _lowercase              =hidden_act
          _lowercase              =hidden_dropout_prob
          _lowercase              =attention_probs_dropout_prob
          _lowercase              =initializer_range
          _lowercase              =type_vocab_size
          _lowercase              =layer_norm_eps
          _lowercase              =position_embedding_type
          _lowercase              =block_per_row
          _lowercase              =approx_mode
          _lowercase              =initial_prior_first_n_blocks
          _lowercase              =initial_prior_diagonal_n_blocks


