




'''simple docstring'''







from math import asin, atan, cos, radians, sin, sqrt, tan

lowercase      :   List[str]      =       6_3_7_8_1_3_7.0
lowercase      :   Union[str, Any]      =       6_3_5_6_7_5_2.3_1_4_2_4_5
lowercase      :   str      =       637_8137



def        lowerCamelCase__				(      __lowercase     ,   __lowercase     ,   __lowercase     ,   __lowercase				):
     snake_case			:      List[Any]        =			(AXIS_A - AXIS_B) / AXIS_A
     snake_case			:      Optional[Any]        =			atan((1 - flattening) * tan(radians(__lowercase				)				)				)
     snake_case			:      Any        =			atan((1 - flattening) * tan(radians(__lowercase				)				)				)
     snake_case			:      str        =			radians(__lowercase				)
     snake_case			:      int        =			radians(__lowercase				)
     # Equation
     snake_case			:      List[Any]        =			sin((phi_a - phi_a) / 2				)
     snake_case			:      Optional[Any]        =			sin((lambda_a - lambda_a) / 2				)
     # Square both values
     sin_sq_phi *= sin_sq_phi
     sin_sq_lambda *= sin_sq_lambda
     snake_case			:      Dict        =			sqrt(sin_sq_phi + (cos(__lowercase				) * cos(__lowercase				) * sin_sq_lambda)				)
     return 2 * RADIUS * asin(__lowercase				)


if __name__ == "__main__":
      import doctest

      doctest.testmod()









'''simple docstring'''







from ..utils import DummyObject, requires_backends







class 					_a (metaclass=a__	):





     '''simple docstring'''



     lowerCAmelCase_  :     Any          =					["""flax"""]







     def __init__(				self							,*__a							,**__a							)      ->				Tuple:
          requires_backends(self							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				Tuple:
          requires_backends(cls							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				Dict:
          requires_backends(cls							,["""flax"""]							)







class 					_a (metaclass=a__	):





     '''simple docstring'''



     lowerCAmelCase_  :     Optional[int]          =					["""flax"""]







     def __init__(				self							,*__a							,**__a							)      ->				List[Any]:
          requires_backends(self							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				List[str]:
          requires_backends(cls							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				str:
          requires_backends(cls							,["""flax"""]							)







class 					_a (metaclass=a__	):





     '''simple docstring'''



     lowerCAmelCase_  :     Any          =					["""flax"""]







     def __init__(				self							,*__a							,**__a							)      ->				Any:
          requires_backends(self							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				List[Any]:
          requires_backends(cls							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				Any:
          requires_backends(cls							,["""flax"""]							)







class 					_a (metaclass=a__	):





     '''simple docstring'''



     lowerCAmelCase_  :     List[str]          =					["""flax"""]







     def __init__(				self							,*__a							,**__a							)      ->				Optional[Any]:
          requires_backends(self							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				Dict:
          requires_backends(cls							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				int:
          requires_backends(cls							,["""flax"""]							)







class 					_a (metaclass=a__	):





     '''simple docstring'''



     lowerCAmelCase_  :     int          =					["""flax"""]







     def __init__(				self							,*__a							,**__a							)      ->				Optional[int]:
          requires_backends(self							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				Optional[Any]:
          requires_backends(cls							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				List[str]:
          requires_backends(cls							,["""flax"""]							)







class 					_a (metaclass=a__	):





     '''simple docstring'''



     lowerCAmelCase_  :     Dict          =					["""flax"""]







     def __init__(				self							,*__a							,**__a							)      ->				Optional[Any]:
          requires_backends(self							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				List[Any]:
          requires_backends(cls							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				int:
          requires_backends(cls							,["""flax"""]							)







class 					_a (metaclass=a__	):





     '''simple docstring'''



     lowerCAmelCase_  :     Union[str, Any]          =					["""flax"""]







     def __init__(				self							,*__a							,**__a							)      ->				List[str]:
          requires_backends(self							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				Optional[Any]:
          requires_backends(cls							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				str:
          requires_backends(cls							,["""flax"""]							)







class 					_a (metaclass=a__	):





     '''simple docstring'''



     lowerCAmelCase_  :     Optional[Any]          =					["""flax"""]







     def __init__(				self							,*__a							,**__a							)      ->				str:
          requires_backends(self							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				str:
          requires_backends(cls							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				Union[str, Any]:
          requires_backends(cls							,["""flax"""]							)







class 					_a (metaclass=a__	):





     '''simple docstring'''



     lowerCAmelCase_  :     List[Any]          =					["""flax"""]







     def __init__(				self							,*__a							,**__a							)      ->				Union[str, Any]:
          requires_backends(self							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				Any:
          requires_backends(cls							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				Optional[Any]:
          requires_backends(cls							,["""flax"""]							)







class 					_a (metaclass=a__	):





     '''simple docstring'''



     lowerCAmelCase_  :     Dict          =					["""flax"""]







     def __init__(				self							,*__a							,**__a							)      ->				Dict:
          requires_backends(self							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				List[str]:
          requires_backends(cls							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				Optional[Any]:
          requires_backends(cls							,["""flax"""]							)







class 					_a (metaclass=a__	):





     '''simple docstring'''



     lowerCAmelCase_  :     List[str]          =					["""flax"""]







     def __init__(				self							,*__a							,**__a							)      ->				Tuple:
          requires_backends(self							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				Tuple:
          requires_backends(cls							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				Optional[int]:
          requires_backends(cls							,["""flax"""]							)







class 					_a (metaclass=a__	):





     '''simple docstring'''



     lowerCAmelCase_  :     Tuple          =					["""flax"""]







     def __init__(				self							,*__a							,**__a							)      ->				List[str]:
          requires_backends(self							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				Union[str, Any]:
          requires_backends(cls							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				Dict:
          requires_backends(cls							,["""flax"""]							)







class 					_a (metaclass=a__	):





     '''simple docstring'''



     lowerCAmelCase_  :     Tuple          =					["""flax"""]







     def __init__(				self							,*__a							,**__a							)      ->				Tuple:
          requires_backends(self							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				List[str]:
          requires_backends(cls							,["""flax"""]							)







     @classmethod
     def 			snake_case_      (				cls							,*__a							,**__a							)      ->				int:
          requires_backends(cls							,["""flax"""]							)



