






from __future__ import annotations

__magic_name__:	Tuple							=      tuple[int, int, int]
__magic_name__:	Union[str, Any]							=      tuple[str, str, str]


# used alphabet --------------------------
# from string.ascii_uppercase
__magic_name__:	List[Any]							=      """ABCDEFGHIJKLMNOPQRSTUVWXYZ"""

# -------------------------- default selection --------------------------
# rotors --------------------------
__magic_name__:	str							=      """EGZWVONAHDCLFQMSIPJBYUKXTR"""
__magic_name__:	str							=      """FOBHMDKEXQNRAULPGSJVTYICZW"""
__magic_name__:	List[Any]							=      """ZJXESIUQLHAVRMDOYGTNFWPBKC"""
# reflector --------------------------
__magic_name__:	Union[str, Any]							=      {
    """A""": """N""",
    """N""": """A""",
    """B""": """O""",
    """O""": """B""",
    """C""": """P""",
    """P""": """C""",
    """D""": """Q""",
    """Q""": """D""",
    """E""": """R""",
    """R""": """E""",
    """F""": """S""",
    """S""": """F""",
    """G""": """T""",
    """T""": """G""",
    """H""": """U""",
    """U""": """H""",
    """I""": """V""",
    """V""": """I""",
    """J""": """W""",
    """W""": """J""",
    """K""": """X""",
    """X""": """K""",
    """L""": """Y""",
    """Y""": """L""",
    """M""": """Z""",
    """Z""": """M""",
}

# -------------------------- extra rotors --------------------------
__magic_name__:	Tuple							=      """RMDJXFUWGISLHVTCQNKYPBEZOA"""
__magic_name__:	Any							=      """SGLCPQWZHKXAREONTFBVIYJUDM"""
__magic_name__:	Optional[Any]							=      """HVSICLTYKQUBXDWAJZOMFGPREN"""
__magic_name__:	Dict							=      """RZWQHFMVDBKICJLNTUXAGYPSOE"""
__magic_name__:	List[str]							=      """LFKIJODBEGAMQPXVUHYSTCZRWN"""
__magic_name__:	Optional[int]							=      """KOAEGVDHXPQZMLFTYWJNBRCIUS"""

def        UpperCamelCase		(			_A,       _A,       _A					):






						"""simple docstring"""







						if (unique_rotsel := len(set(lowercase_					)					)) < 3:
												__magic_name__     :  List[Any]  		=   f'Please use 3 unique rotors (not {unique_rotsel})'
												raise Exception(lowercase_					)

						# Checks if rotor positions are valid
						__magic_name__		,__magic_name__		,__magic_name__     :  Any  		=   rotpos
						if not 0 < rotorposa <= len(lowercase_					):
												__magic_name__     :  Any  		=   f'First rotor position is not within range of 1..26 ({rotorposa}'
												raise ValueError(lowercase_					)
						if not 0 < rotorposa <= len(lowercase_					):
												__magic_name__     :  Union[str, Any]  		=   f'Second rotor position is not within range of 1..26 ({rotorposa})'
												raise ValueError(lowercase_					)
						if not 0 < rotorposa <= len(lowercase_					):
												__magic_name__     :  Union[str, Any]  		=   f'Third rotor position is not within range of 1..26 ({rotorposa})'
												raise ValueError(lowercase_					)

						# Validates string and returns dict
						__magic_name__     :  Tuple  		=   _plugboard(lowercase_					)

						return rotpos, rotsel, pbdict

def        UpperCamelCase		(			_A					):






						"""simple docstring"""







						if not isinstance(lowercase_,       lowercase_					):
												__magic_name__     :  str  		=   f'Plugboard setting isn\'t type string ({type(lowercase_					)})'
												raise TypeError(lowercase_					)
						elif len(lowercase_					) % 2 != 0:
												__magic_name__     :  Dict  		=   f'Odd number of symbols ({len(lowercase_					)})'
												raise Exception(lowercase_					)
						elif pbstring == "":
												return {}

						pbstring.replace(""" """,       """"""					)

						# Checks if all characters are unique
						__magic_name__     :  str  		=   set()
						for i in pbstring:
												if i not in abc:
																		__magic_name__     :  int  		=   f'\'{i}\' not in list of symbols'
																		raise Exception(lowercase_					)
												elif i in tmppbl:
																		__magic_name__     :  List[Any]  		=   f'Duplicate symbol ({i})'
																		raise Exception(lowercase_					)
												else:
																		tmppbl.add(lowercase_					)
						del tmppbl

						# Created the dictionary
						__magic_name__     :  Dict  		=   {}
						for j in range(0,       len(lowercase_					) - 1,       2					):
												__magic_name__     :  Union[str, Any]  		=   pbstring[j + 1]
												__magic_name__     :  List[str]  		=   pbstring[j]

						return pb

def        UpperCamelCase		(			_A,       _A,       _A = (rotora, rotora, rotora),       _A = "",       ):






						"""simple docstring"""







						__magic_name__     :  Any  		=   text.upper()
						__magic_name__		,__magic_name__		,__magic_name__     :  Optional[Any]  		=   _validator(
						    lowercase_,       lowercase_,       plugb.upper()					)

						__magic_name__		,__magic_name__		,__magic_name__     :  List[Any]  		=   rotor_position
						__magic_name__		,__magic_name__		,__magic_name__     :  List[Any]  		=   rotor_selection
						rotorposa -= 1
						rotorposa -= 1
						rotorposa -= 1

						__magic_name__     :  int  		=   []

						# encryption/decryption process --------------------------
						for symbol in text:
												if symbol in abc:
																		# 1st plugboard --------------------------
																		if symbol in plugboard:
																								__magic_name__     :  Union[str, Any]  		=   plugboard[symbol]

																		# rotor ra --------------------------
																		__magic_name__     :  Dict  		=   abc.index(lowercase_					) + rotorposa
																		__magic_name__     :  Optional[int]  		=   rotora[index % len(lowercase_					)]

																		# rotor rb --------------------------
																		__magic_name__     :  Tuple  		=   abc.index(lowercase_					) + rotorposa
																		__magic_name__     :  List[str]  		=   rotora[index % len(lowercase_					)]

																		# rotor rc --------------------------
																		__magic_name__     :  int  		=   abc.index(lowercase_					) + rotorposa
																		__magic_name__     :  Any  		=   rotora[index % len(lowercase_					)]

																		# reflector --------------------------
																		# this is the reason you don't need another machine to decipher

																		__magic_name__     :  Dict  		=   reflector[symbol]

																		# 2nd rotors
																		__magic_name__     :  Optional[int]  		=   abc[rotora.index(lowercase_					) - rotorposa]
																		__magic_name__     :  Tuple  		=   abc[rotora.index(lowercase_					) - rotorposa]
																		__magic_name__     :  str  		=   abc[rotora.index(lowercase_					) - rotorposa]

																		# 2nd plugboard
																		if symbol in plugboard:
																								__magic_name__     :  List[str]  		=   plugboard[symbol]

																		# moves/resets rotor positions
																		rotorposa += 1
																		if rotorposa >= len(lowercase_					):
																								__magic_name__     :  Union[str, Any]  		=   0
																								rotorposa += 1
																		if rotorposa >= len(lowercase_					):
																								__magic_name__     :  Dict  		=   0
																								rotorposa += 1
																		if rotorposa >= len(lowercase_					):
																								__magic_name__     :  List[Any]  		=   0

        # else:
        #    pass
        #    Error could be also raised
        #    raise ValueError(
        #       'Invalid symbol('+repr(symbol)+')')
												result.append(lowercase_					)

						return "".join(lowercase_					)


if __name__ == "__main__":
		__magic_name__:	Union[str, Any]							=      """This is my Python script that emulates the Enigma machine from WWII."""
		__magic_name__:	str							=      (1, 1, 1)
		__magic_name__:	Optional[Any]							=      """pictures"""
		__magic_name__:	List[str]							=      (rotora, rotora, rotora)
		__magic_name__:	Any							=      enigma(message, rotor_pos, rotor_sel, pb)

		print("Encrypted message:", en)
		print("Decrypted message:", enigma(en, rotor_pos, rotor_sel, pb))






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

from .haversine_distance import haversine_distance

_lowerCamelCase      :						Dict							=  6_378_137.0
_lowerCamelCase      :						Union[str, Any]							=  6_356_752.314_245
_lowerCamelCase      :						List[Any]							=  6378137







def SCREAMING_SNAKE_CASE							(			lowercase_					,							lowercase_					,							lowercase_					,							lowercase_		)  ->			float:



       """simple docstring"""

       A__ 					=       (AXIS_A - AXIS_B) / AXIS_A
       # Parametric latitudes
       # https://en.wikipedia.org/wiki/Latitude#Parametric_(or_reduced)_latitude
       A__ 					=       atan((1 - flattening) * tan(radians(lowercase_		)		)		)
       A__ 					=       atan((1 - flattening) * tan(radians(lowercase_		)		)		)

       # Compute central angle between two points
       # using haversine theta. sigma =  haversine_distance / equatorial radius
       A__ 					=       haversine_distance(lowercase_					,							lowercase_					,							lowercase_					,							lowercase_		) / EQUATORIAL_RADIUS

       # Intermediate P and Q values
       A__ 					=       (b_lata + b_lata) / 2
       A__ 					=       (b_lata - b_lata) / 2

       # Intermediate X value
       # X = (sigma - sin(sigma)) * sin^2Pcos^2Q / cos^2(sigma/2)
       A__ 					=       (sin(lowercase_		) ** 2) * (cos(lowercase_		) ** 2)
       A__ 					=       cos(sigma / 2		) ** 2
       A__ 					=       (sigma - sin(lowercase_		)) * (x_numerator / x_demonimator)

       # Intermediate Y value
       # Y = (sigma + sin(sigma)) * cos^2Psin^2Q / sin^2(sigma/2)
       A__ 					=       (cos(lowercase_		) ** 2) * (sin(lowercase_		) ** 2)
       A__ 					=       sin(sigma / 2		) ** 2
       A__ 					=       (sigma + sin(lowercase_		)) * (y_numerator / y_denominator)

       return EQUATORIAL_RADIUS * (sigma - ((flattening / 2) * (x_value + y_value)))


if __name__ == "__main__":
  import doctest

  doctest.testmod()


