"""simple docstring"""




from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
_a   :	Dict 					=     299_792_458

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





def 							SCREAMING_SNAKE_CASE  (    _lowerCamelCase		: 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 							SCREAMING_SNAKE_CASE  (    _lowerCamelCase		: float			) ->   float:
  return 1 / sqrt(1 - beta(_lowerCamelCase			) ** 2			)





def 							SCREAMING_SNAKE_CASE  (    _lowerCamelCase		: float			) ->   np.ndarray:
  return np.array(
      [
          [gamma(_lowerCamelCase			), -gamma(_lowerCamelCase			) * beta(_lowerCamelCase			), 0, 0],
          [-gamma(_lowerCamelCase			) * beta(_lowerCamelCase			), gamma(_lowerCamelCase			), 0, 0],
          [0, 0, 1, 0],
          [0, 0, 0, 1],
      ]			)





def 							SCREAMING_SNAKE_CASE  (    _lowerCamelCase		: float    ,_lowerCamelCase		: np.ndarray | None = None			) ->   np.ndarray:
  # Ensure event is not empty
  if event is None:
    _lowerCAmelCase		: Tuple						    =  np.array([ct, x, y, z]			)  # Symbolic four vector
  else:
    event[0] *= c  # x0 is ct (speed of light * time)

  return transformation_matrix(_lowerCamelCase			) @ event


if __name__ == "__main__":
     import doctest

     doctest.testmod()

     # Example of symbolic vector:
     _a   :	Union[str, Any] 					=     transform(29_979_245)
     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   :	Optional[Any] 					=     {ct: c, x: 1, y: 1, z: 1}
     _a   :	Tuple 					=     [four_vector[i].subs(sub_dict) for i in range(4)]

     print(F"""\n{numerical_vector}""")


"""simple docstring"""




from ...utils import (
    OptionalDependencyNotAvailable,
    is_torch_available,
    is_transformers_available,
    is_transformers_version,
)


try:
     if not (is_transformers_available() and is_torch_available() and is_transformers_version('>=', '4.25.0')):
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     from ...utils.dummy_torch_and_transformers_objects import UnCLIPImageVariationPipeline, UnCLIPPipeline
else:
     from .pipeline_unclip import UnCLIPPipeline
     from .pipeline_unclip_image_variation import UnCLIPImageVariationPipeline
     from .text_proj import UnCLIPTextProjModel




