

'''simple docstring'''

from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
lowercase__         =      299792458

# Symbols
lowercase__   ,  lowercase__   ,  lowercase__   ,  lowercase__         =      symbols("ct x y z")




def 				UpperCamelCase(					UpperCAmelCase_     ):
 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(					UpperCAmelCase_     ):
 return 1 / sqrt(1 - beta(UpperCAmelCase_     ) ** 2     )




def 				UpperCamelCase(					UpperCAmelCase_     ):
 return np.array(
     [
         [gamma(UpperCAmelCase_     ), -gamma(UpperCAmelCase_     ) * beta(UpperCAmelCase_     ), 0, 0],
         [-gamma(UpperCAmelCase_     ) * beta(UpperCAmelCase_     ), gamma(UpperCAmelCase_     ), 0, 0],
         [0, 0, 1, 0],
         [0, 0, 0, 1],
     ]     )




def 				UpperCamelCase(					UpperCAmelCase_  ,	UpperCAmelCase_ = None     ):
 # Ensure event is not empty
 if event is None:
  UpperCAmelCase	:     Optional[int]						 =			np.array([ct, x, y, z]     )  # Symbolic four vector
 else:
  event[0] *= c  # x0 is ct (speed of light * time)

 return transformation_matrix(UpperCAmelCase_     ) @ event


if __name__ == "__main__":
 import doctest

 doctest.testmod()

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

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







'''simple docstring'''

from typing import TYPE_CHECKING

from ....utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


lowercase__         =      {"configuration_van": ["VAN_PRETRAINED_CONFIG_ARCHIVE_MAP", "VanConfig"]}


try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowercase__         =      [
     "VAN_PRETRAINED_MODEL_ARCHIVE_LIST",
     "VanForImageClassification",
     "VanModel",
     "VanPreTrainedModel",
 ]

if TYPE_CHECKING:
 from .configuration_van import VAN_PRETRAINED_CONFIG_ARCHIVE_MAP, VanConfig

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_van import (
      VAN_PRETRAINED_MODEL_ARCHIVE_LIST,
      VanForImageClassification,
      VanModel,
      VanPreTrainedModel,
  )

else:
 import sys

 lowercase__         =      _LazyModule(__name__, globals()["__file__"], _import_structure)




