




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

_lowerCAmelCase						:   Optional[int]		=   6_3_7_8_1_3_7.0
_lowerCAmelCase						:   Any		=   6_3_5_6_7_5_2.3_1_4_2_4_5
_lowerCAmelCase						:   Dict		=   6_3_7_8_1_3_7



def 						lowerCAmelCase		(		_lowerCAmelCase							:   float						,							_lowerCAmelCase							:   float						,							_lowerCAmelCase							:   float						,							_lowerCAmelCase							:   float	):




 """simple docstring"""







 UpperCAmelCase__							 =						(AXIS_A - AXIS_B) / AXIS_A
 UpperCAmelCase__							 =						atan((1 - flattening) * tan(radians(_lowerCAmelCase	)	)	)
 UpperCAmelCase__							 =						atan((1 - flattening) * tan(radians(_lowerCAmelCase	)	)	)
 UpperCAmelCase__							 =						radians(_lowerCAmelCase	)
 UpperCAmelCase__							 =						radians(_lowerCAmelCase	)
 # Equation
 UpperCAmelCase__							 =						sin((phi_a - phi_a) / 2	)
 UpperCAmelCase__							 =						sin((lambda_a - lambda_a) / 2	)
 # Square both values
 sin_sq_phi *= sin_sq_phi
 sin_sq_lambda *= sin_sq_lambda
 UpperCAmelCase__							 =						sqrt(sin_sq_phi + (cos(_lowerCAmelCase	) * cos(_lowerCAmelCase	) * sin_sq_lambda)	)
 return 2 * RADIUS * asin(_lowerCAmelCase	)


if __name__ == "__main__":
  import doctest

  doctest.testmod()











from ..utils import DummyObject, requires_backends
class 			_UpperCamelCase      (				metaclass=lowerCAmelCase		):
      UpperCAmelCase_        =		["""flax"""]
      def __init__(			self   :List[Any] ,      *lowerCamelCase   :int ,      **lowerCamelCase   :List[Any]      )     ->			Dict:
       requires_backends(self ,      ["flax"]      )
      @classmethod
      def 	UpperCAmelCase_						(			cls   :Union[str, Any] ,      *lowerCamelCase   :Any ,      **lowerCamelCase   :List[str]      )     ->			int:
       requires_backends(cls ,      ["flax"]      )







      @classmethod
      def 	UpperCAmelCase_						(			cls   :Optional[int] ,      *lowerCamelCase   :List[str] ,      **lowerCamelCase   :List[Any]      )     ->			Dict:
       requires_backends(cls ,      ["flax"]      )



class 			_UpperCamelCase      (				metaclass=lowerCAmelCase		):
      UpperCAmelCase_        =		["""flax"""]
      def __init__(			self   :Dict ,      *lowerCamelCase   :int ,      **lowerCamelCase   :str      )     ->			str:
       requires_backends(self ,      ["flax"]      )
      @classmethod
      def 	UpperCAmelCase_						(			cls   :Optional[int] ,      *lowerCamelCase   :Tuple ,      **lowerCamelCase   :List[Any]      )     ->			Optional[int]:
       requires_backends(cls ,      ["flax"]      )







      @classmethod
      def 	UpperCAmelCase_						(			cls   :Optional[Any] ,      *lowerCamelCase   :Dict ,      **lowerCamelCase   :Optional[int]      )     ->			List[Any]:
       requires_backends(cls ,      ["flax"]      )



class 			_UpperCamelCase      (				metaclass=lowerCAmelCase		):
      UpperCAmelCase_        =		["""flax"""]
      def __init__(			self   :List[str] ,      *lowerCamelCase   :Union[str, Any] ,      **lowerCamelCase   :Any      )     ->			Union[str, Any]:
       requires_backends(self ,      ["flax"]      )
      @classmethod
      def 	UpperCAmelCase_						(			cls   :List[Any] ,      *lowerCamelCase   :str ,      **lowerCamelCase   :List[Any]      )     ->			Tuple:
       requires_backends(cls ,      ["flax"]      )







      @classmethod
      def 	UpperCAmelCase_						(			cls   :str ,      *lowerCamelCase   :Any ,      **lowerCamelCase   :Dict      )     ->			int:
       requires_backends(cls ,      ["flax"]      )



class 			_UpperCamelCase      (				metaclass=lowerCAmelCase		):
      UpperCAmelCase_        =		["""flax"""]
      def __init__(			self   :Union[str, Any] ,      *lowerCamelCase   :int ,      **lowerCamelCase   :Dict      )     ->			List[Any]:
       requires_backends(self ,      ["flax"]      )
      @classmethod
      def 	UpperCAmelCase_						(			cls   :int ,      *lowerCamelCase   :Union[str, Any] ,      **lowerCamelCase   :str      )     ->			Optional[int]:
       requires_backends(cls ,      ["flax"]      )







      @classmethod
      def 	UpperCAmelCase_						(			cls   :List[str] ,      *lowerCamelCase   :Optional[int] ,      **lowerCamelCase   :Tuple      )     ->			Dict:
       requires_backends(cls ,      ["flax"]      )



class 			_UpperCamelCase      (				metaclass=lowerCAmelCase		):
      UpperCAmelCase_        =		["""flax"""]
      def __init__(			self   :Union[str, Any] ,      *lowerCamelCase   :Any ,      **lowerCamelCase   :List[str]      )     ->			Union[str, Any]:
       requires_backends(self ,      ["flax"]      )
      @classmethod
      def 	UpperCAmelCase_						(			cls   :Optional[Any] ,      *lowerCamelCase   :Union[str, Any] ,      **lowerCamelCase   :Optional[Any]      )     ->			Optional[int]:
       requires_backends(cls ,      ["flax"]      )







      @classmethod
      def 	UpperCAmelCase_						(			cls   :List[Any] ,      *lowerCamelCase   :Dict ,      **lowerCamelCase   :Optional[int]      )     ->			List[str]:
       requires_backends(cls ,      ["flax"]      )



class 			_UpperCamelCase      (				metaclass=lowerCAmelCase		):
      UpperCAmelCase_        =		["""flax"""]
      def __init__(			self   :Tuple ,      *lowerCamelCase   :str ,      **lowerCamelCase   :List[str]      )     ->			List[Any]:
       requires_backends(self ,      ["flax"]      )
      @classmethod
      def 	UpperCAmelCase_						(			cls   :Any ,      *lowerCamelCase   :List[str] ,      **lowerCamelCase   :Any      )     ->			int:
       requires_backends(cls ,      ["flax"]      )







      @classmethod
      def 	UpperCAmelCase_						(			cls   :List[Any] ,      *lowerCamelCase   :List[Any] ,      **lowerCamelCase   :Optional[Any]      )     ->			Tuple:
       requires_backends(cls ,      ["flax"]      )



class 			_UpperCamelCase      (				metaclass=lowerCAmelCase		):
      UpperCAmelCase_        =		["""flax"""]
      def __init__(			self   :Any ,      *lowerCamelCase   :List[Any] ,      **lowerCamelCase   :List[str]      )     ->			List[str]:
       requires_backends(self ,      ["flax"]      )
      @classmethod
      def 	UpperCAmelCase_						(			cls   :Optional[Any] ,      *lowerCamelCase   :Optional[int] ,      **lowerCamelCase   :Dict      )     ->			Union[str, Any]:
       requires_backends(cls ,      ["flax"]      )







      @classmethod
      def 	UpperCAmelCase_						(			cls   :int ,      *lowerCamelCase   :List[Any] ,      **lowerCamelCase   :str      )     ->			str:
       requires_backends(cls ,      ["flax"]      )



class 			_UpperCamelCase      (				metaclass=lowerCAmelCase		):
      UpperCAmelCase_        =		["""flax"""]
      def __init__(			self   :str ,      *lowerCamelCase   :Any ,      **lowerCamelCase   :Union[str, Any]      )     ->			Optional[Any]:
       requires_backends(self ,      ["flax"]      )
      @classmethod
      def 	UpperCAmelCase_						(			cls   :Optional[Any] ,      *lowerCamelCase   :Any ,      **lowerCamelCase   :List[str]      )     ->			int:
       requires_backends(cls ,      ["flax"]      )







      @classmethod
      def 	UpperCAmelCase_						(			cls   :List[Any] ,      *lowerCamelCase   :Union[str, Any] ,      **lowerCamelCase   :Union[str, Any]      )     ->			List[Any]:
       requires_backends(cls ,      ["flax"]      )



class 			_UpperCamelCase      (				metaclass=lowerCAmelCase		):
      UpperCAmelCase_        =		["""flax"""]
      def __init__(			self   :Dict ,      *lowerCamelCase   :Dict ,      **lowerCamelCase   :int      )     ->			List[Any]:
       requires_backends(self ,      ["flax"]      )
      @classmethod
      def 	UpperCAmelCase_						(			cls   :Tuple ,      *lowerCamelCase   :Optional[Any] ,      **lowerCamelCase   :Optional[int]      )     ->			Dict:
       requires_backends(cls ,      ["flax"]      )







      @classmethod
      def 	UpperCAmelCase_						(			cls   :Any ,      *lowerCamelCase   :Optional[int] ,      **lowerCamelCase   :List[str]      )     ->			List[Any]:
       requires_backends(cls ,      ["flax"]      )



class 			_UpperCamelCase      (				metaclass=lowerCAmelCase		):
      UpperCAmelCase_        =		["""flax"""]
      def __init__(			self   :List[Any] ,      *lowerCamelCase   :int ,      **lowerCamelCase   :Optional[Any]      )     ->			List[str]:
       requires_backends(self ,      ["flax"]      )
      @classmethod
      def 	UpperCAmelCase_						(			cls   :int ,      *lowerCamelCase   :List[Any] ,      **lowerCamelCase   :List[Any]      )     ->			Any:
       requires_backends(cls ,      ["flax"]      )







      @classmethod
      def 	UpperCAmelCase_						(			cls   :str ,      *lowerCamelCase   :Optional[int] ,      **lowerCamelCase   :str      )     ->			List[str]:
       requires_backends(cls ,      ["flax"]      )



class 			_UpperCamelCase      (				metaclass=lowerCAmelCase		):
      UpperCAmelCase_        =		["""flax"""]
      def __init__(			self   :List[Any] ,      *lowerCamelCase   :str ,      **lowerCamelCase   :int      )     ->			List[Any]:
       requires_backends(self ,      ["flax"]      )
      @classmethod
      def 	UpperCAmelCase_						(			cls   :List[str] ,      *lowerCamelCase   :List[Any] ,      **lowerCamelCase   :Any      )     ->			List[Any]:
       requires_backends(cls ,      ["flax"]      )







      @classmethod
      def 	UpperCAmelCase_						(			cls   :Optional[Any] ,      *lowerCamelCase   :Any ,      **lowerCamelCase   :Tuple      )     ->			int:
       requires_backends(cls ,      ["flax"]      )



class 			_UpperCamelCase      (				metaclass=lowerCAmelCase		):
      UpperCAmelCase_        =		["""flax"""]
      def __init__(			self   :Any ,      *lowerCamelCase   :List[Any] ,      **lowerCamelCase   :Tuple      )     ->			Dict:
       requires_backends(self ,      ["flax"]      )
      @classmethod
      def 	UpperCAmelCase_						(			cls   :List[Any] ,      *lowerCamelCase   :int ,      **lowerCamelCase   :Union[str, Any]      )     ->			List[Any]:
       requires_backends(cls ,      ["flax"]      )







      @classmethod
      def 	UpperCAmelCase_						(			cls   :str ,      *lowerCamelCase   :int ,      **lowerCamelCase   :List[str]      )     ->			List[str]:
       requires_backends(cls ,      ["flax"]      )



class 			_UpperCamelCase      (				metaclass=lowerCAmelCase		):
      UpperCAmelCase_        =		["""flax"""]
      def __init__(			self   :int ,      *lowerCamelCase   :Dict ,      **lowerCamelCase   :Optional[int]      )     ->			str:
       requires_backends(self ,      ["flax"]      )
      @classmethod
      def 	UpperCAmelCase_						(			cls   :Union[str, Any] ,      *lowerCamelCase   :Any ,      **lowerCamelCase   :Union[str, Any]      )     ->			Optional[int]:
       requires_backends(cls ,      ["flax"]      )







      @classmethod
      def 	UpperCAmelCase_						(			cls   :int ,      *lowerCamelCase   :Union[str, Any] ,      **lowerCamelCase   :Any      )     ->			Optional[Any]:
       requires_backends(cls ,      ["flax"]      )





