
from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
SCREAMING_SNAKE_CASE							:Optional[Any]							 =				2_9979_2458

# Symbols
SCREAMING_SNAKE_CASE ,    SCREAMING_SNAKE_CASE ,    SCREAMING_SNAKE_CASE ,    SCREAMING_SNAKE_CASE							:Tuple							 =				symbols('ct x y z')


def 						UpperCAmelCase			(	a_						)		->	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			(	a_						)		->	float:







				"""simple docstring"""



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


def 						UpperCAmelCase			(	a_						)		->	np.ndarray:







				"""simple docstring"""



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


def 						UpperCAmelCase			(	a_		,   a_ = None						)		->	np.ndarray:







				"""simple docstring"""



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

				return transformation_matrix(a_						) @ event


if __name__ == "__main__":
					import doctest

					doctest.testmod()

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

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








"""simple docstring"""




import json
import os
from typing import Optional, Tuple

from ...tokenization_utils import PreTrainedTokenizer
from ...utils import logging


_snake_case          =   logging.get_logger(__name__)

_snake_case          =   {'vocab_file': 'vocab.json'}

_snake_case          =   {
    'vocab_file': {
        'mgp-str': 'https://huggingface.co/alibaba-damo/mgp-str-base/blob/main/vocab.json',
    }
}

_snake_case          =   {'mgp-str': 27}






class        UpperCamelCase			(	snake_case_      ):
 UpperCamelCase					:       List[str]			=					VOCAB_FILES_NAMES
 UpperCamelCase					:       Union[str, Any]			=					PRETRAINED_VOCAB_FILES_MAP
 UpperCamelCase					:       Optional[int]			=					PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES


 def __init__(     self		:						Optional[int]							,						UpperCAmelCase__		:						List[str]							,						UpperCAmelCase__		:						List[Any]="[GO]"							,						UpperCAmelCase__		:						Tuple="[GO]"							,						UpperCAmelCase__		:						Optional[int]="[s]"							,						UpperCAmelCase__		:						int="[GO]"							,						**UpperCAmelCase__		:						Dict							)					->       int:
   super().__init__(
       unk_token=UpperCAmelCase__							,						bos_token=UpperCAmelCase__							,						eos_token=UpperCAmelCase__							,						pad_token=UpperCAmelCase__							,						**UpperCAmelCase__							,						)

   with open(UpperCAmelCase__							,						encoding="""utf-8"""							) as vocab_handle:
     _a  :       int             =	json.load(UpperCAmelCase__							)
   _a  :       Optional[int]             =	{v: k for k, v in self.vocab.items()}


 @property
 def _lowercase	(     self		:						Dict							)					->       Union[str, Any]:
   return len(self.vocab							)


 def _lowercase	(     self		:						Union[str, Any]							)					->       str:
   return dict(self.vocab							,						**self.added_tokens_encoder							)


 def _lowercase	(     self		:						Dict							,						UpperCAmelCase__		:						str							)					->       Union[str, Any]:
   _a  :       Tuple             =	[]
   for s in text:
     char_tokens.extend(UpperCAmelCase__							)
   return char_tokens


 def _lowercase	(     self		:						List[Any]							,						UpperCAmelCase__		:						str							)					->       Dict:
   return self.vocab.get(UpperCAmelCase__							,						self.vocab.get(self.unk_token							)							)


 def _lowercase	(     self		:						Optional[int]							,						UpperCAmelCase__		:						Tuple							)					->       List[Any]:
   return self.decoder.get(UpperCAmelCase__							)







 def _lowercase	(     self		:						Optional[int]							,						UpperCAmelCase__		:						str							,						UpperCAmelCase__		:						Optional[str] = None							)					->       Tuple[str]:
   if not os.path.isdir(UpperCAmelCase__							):
     logger.error("""Vocabulary path ({}) should be a directory""".format(UpperCAmelCase__							)							)
     return
   _a  :       Tuple             =	os.path.join(
       UpperCAmelCase__							,						(filename_prefix + """-""" if filename_prefix else """""") + VOCAB_FILES_NAMES["""vocab_file"""]							)

   with open(UpperCAmelCase__							,						"""w"""							,						encoding="""utf-8"""							) as f:
     f.write(json.dumps(self.vocab							,						indent=2							,						sort_keys=UpperCAmelCase__							,						ensure_ascii=UpperCAmelCase__							) + """\n"""							)

   return (vocab_file,)

