



from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
SCREAMING_SNAKE_CASE__      :			Optional[int]							=		2_99_79_24_58

# Symbols
SCREAMING_SNAKE_CASE__      :			Optional[Any]							=		symbols("""ct x y z""")

def      __lowercase					( snake_case ):







				"""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      __lowercase					( snake_case ):







				"""simple docstring"""






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

def      __lowercase					( snake_case ):







				"""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      __lowercase					( snake_case,  snake_case = None ):







				"""simple docstring"""






				if event is None:
								__magic_name__		:Tuple        =      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__      :			List[str]							=		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__      :			List[Any]							=		{ct: c, x: 1, y: 1, z: 1}
					SCREAMING_SNAKE_CASE__      :			str							=		[four_vector[i].subs(sub_dict) for i in range(4)]

					print(f"\n{numerical_vector}")














from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tokenizers_available


SCREAMING_SNAKE_CASE__      :			Union[str, Any]							=		{"""tokenization_herbert""": ["""HerbertTokenizer"""]}

try:
					if not is_tokenizers_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					SCREAMING_SNAKE_CASE__      :			Optional[Any]							=		["""HerbertTokenizerFast"""]


if TYPE_CHECKING:
					from .tokenization_herbert import HerbertTokenizer

					try:
										if not is_tokenizers_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .tokenization_herbert_fast import HerbertTokenizerFast

else:
					import sys

					SCREAMING_SNAKE_CASE__      :			Union[str, Any]							=		_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)






