





from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
UpperCAmelCase						:   List[str]			  =     2_99_79_24_58

# Symbols
UpperCAmelCase  , UpperCAmelCase  , UpperCAmelCase  , UpperCAmelCase						:   Optional[int]			  =     symbols('''ct x y z''')







def  _SCREAMING_SNAKE_CASE				(   a  )      ->      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				(   a  )      ->      float:
					return 1 / sqrt(1 - beta(a  ) ** 2  )







def  _SCREAMING_SNAKE_CASE				(   a  )      ->      np.ndarray:
					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  _SCREAMING_SNAKE_CASE				(   a					,						a = None  )      ->      np.ndarray:
					# Ensure event is not empty
					if event is None:
										__A	:						str       =				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:
				UpperCAmelCase						:   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
				UpperCAmelCase						:   Union[str, Any]			  =     {ct: c, x: 1, y: 1, z: 1}
				UpperCAmelCase						:   Any			  =     [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_torch_available,
)


UpperCAmelCase						:   Any			  =     {
    '''configuration_falcon''': ['''FALCON_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''FalconConfig'''],
}

try:
				if not is_torch_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				UpperCAmelCase						:   Any			  =     [
				    '''FALCON_PRETRAINED_MODEL_ARCHIVE_LIST''',
				    '''FalconForCausalLM''',
				    '''FalconModel''',
				    '''FalconPreTrainedModel''',
				    '''FalconForSequenceClassification''',
				    '''FalconForTokenClassification''',
				    '''FalconForQuestionAnswering''',
				]


if TYPE_CHECKING:
				from .configuration_falcon import FALCON_PRETRAINED_CONFIG_ARCHIVE_MAP, FalconConfig

				try:
								if not is_torch_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .modeling_falcon import (
								    FALCON_PRETRAINED_MODEL_ARCHIVE_LIST,
								    FalconForCausalLM,
								    FalconForQuestionAnswering,
								    FalconForSequenceClassification,
								    FalconForTokenClassification,
								    FalconModel,
								    FalconPreTrainedModel,
								)


else:
				import sys

				UpperCAmelCase						:   List[str]			  =     _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)




