


'''simple docstring'''

from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
lowercase__							=		299_792_458

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






def __UpperCamelCase   (			__lowerCamelCase		: float				)      ->     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   (			__lowerCamelCase		: float				)      ->     float:







     '''simple docstring'''






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






def __UpperCamelCase   (			__lowerCamelCase		: float				)      ->     np.ndarray:







     '''simple docstring'''






     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 __UpperCamelCase   (			__lowerCamelCase		: float      ,  __lowerCamelCase		: np.ndarray | None = 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(__lowerCamelCase				) @ event


if __name__ == "__main__":
   import doctest

   doctest.testmod()

   # Example of symbolic vector:
   lowercase__							=		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
   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'''

import unittest

from transformers import load_tool

from .test_tools_common import ToolTesterMixin





class 						__SCREAMING_SNAKE_CASE					(      unittest.TestCase ,			lowerCamelCase__ ):






     def  a_					(			self		)       ->    Tuple:
          _a						=		load_tool("text-classification"		)
          self.tool.setup()
          _a						=		load_tool("text-classification"     ,							remote=__UpperCamelCase		)






     def  a_					(			self		)       ->    Optional[int]:
          _a						=		self.tool("That's quite cool"     ,							["positive", "negative"]		)
          self.assertEqual(__UpperCamelCase     ,							"positive"		)






     def  a_					(			self		)       ->    Union[str, Any]:
          _a						=		self.remote_tool("That's quite cool"     ,							["positive", "negative"]		)
          self.assertEqual(__UpperCamelCase     ,							"positive"		)






     def  a_					(			self		)       ->    Optional[int]:
          _a						=		self.tool(text="That's quite cool"     ,							labels=["positive", "negative"]		)
          self.assertEqual(__UpperCamelCase     ,							"positive"		)






     def  a_					(			self		)       ->    str:
          _a						=		self.remote_tool(text="That's quite cool"     ,							labels=["positive", "negative"]		)
          self.assertEqual(__UpperCamelCase     ,							"positive"		)

