


'''simple docstring'''




from __future__ import annotations

UpperCAmelCase_      :		int          =		tuple[int, int, int]
UpperCAmelCase_      :		Union[str, Any]          =		tuple[str, str, str]


# used alphabet --------------------------
# from string.ascii_uppercase
UpperCAmelCase_      :		str          =		"ABCDEFGHIJKLMNOPQRSTUVWXYZ"

# -------------------------- default selection --------------------------
# rotors --------------------------
UpperCAmelCase_      :		str          =		"EGZWVONAHDCLFQMSIPJBYUKXTR"
UpperCAmelCase_      :		Any          =		"FOBHMDKEXQNRAULPGSJVTYICZW"
UpperCAmelCase_      :		Any          =		"ZJXESIUQLHAVRMDOYGTNFWPBKC"
# reflector --------------------------
UpperCAmelCase_      :		int          =		{
    "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 --------------------------
UpperCAmelCase_      :		int          =		"RMDJXFUWGISLHVTCQNKYPBEZOA"
UpperCAmelCase_      :		Optional[Any]          =		"SGLCPQWZHKXAREONTFBVIYJUDM"
UpperCAmelCase_      :		Tuple          =		"HVSICLTYKQUBXDWAJZOMFGPREN"
UpperCAmelCase_      :		Union[str, Any]          =		"RZWQHFMVDBKICJLNTUXAGYPSOE"
UpperCAmelCase_      :		str          =		"LFKIJODBEGAMQPXVUHYSTCZRWN"
UpperCAmelCase_      :		int          =		"KOAEGVDHXPQZMLFTYWJNBRCIUS"


def    UpperCAmelCase_  (       A		,	A		,	A      ):
   '''simple docstring'''





   if (unique_rotsel := len(set(A      )      )) < 3:
      _a					:  Tuple						=  f'''Please use 3 unique rotors (not {unique_rotsel})'''
      raise Exception(A      )

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

   # Validates string and returns dict
   _a					:  int						=  _plugboard(A      )

   return rotpos, rotsel, pbdict


def    UpperCAmelCase_  (       A      ):
   '''simple docstring'''





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

   pbstring.replace(' '		,	''      )

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

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

   return pb


def    UpperCAmelCase_  (       A		,	A		,	A = (rotora, rotora, rotora)		,	A = ""		,	):
   '''simple docstring'''





   _a					:  Any						=  text.upper()
   _a		,						_a		,						_a					:  List[Any]						=  _validator(
       A		,	A		,	plugb.upper()      )

   _a		,						_a		,						_a					:  Dict						=  rotor_position
   _a		,						_a		,						_a					:  List[str]						=  rotor_selection
   rotorposa -= 1
   rotorposa -= 1
   rotorposa -= 1

   _a					:  Tuple						=  []

   # encryption/decryption process --------------------------
   for symbol in text:
      if symbol in abc:
         # 1st plugboard --------------------------
         if symbol in plugboard:
            _a					:  Optional[Any]						=  plugboard[symbol]

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

         # rotor rb --------------------------
         _a					:  Union[str, Any]						=  abc.index(A      ) + rotorposa
         _a					:  List[Any]						=  rotora[index % len(A      )]

         # rotor rc --------------------------
         _a					:  Dict						=  abc.index(A      ) + rotorposa
         _a					:  int						=  rotora[index % len(A      )]

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

         _a					:  str						=  reflector[symbol]

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

         # 2nd plugboard
         if symbol in plugboard:
            _a					:  Union[str, Any]						=  plugboard[symbol]

         # moves/resets rotor positions
         rotorposa += 1
         if rotorposa >= len(A      ):
            _a					:  Optional[Any]						=  0
            rotorposa += 1
         if rotorposa >= len(A      ):
            _a					:  Tuple						=  0
            rotorposa += 1
         if rotorposa >= len(A      ):
            _a					:  Tuple						=  0

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

   return "".join(A      )


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

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






'''simple docstring'''




from math import cos, sin, sqrt, tau

from audio_filters.iir_filter import IIRFilter


def    UpperCAmelCase_  (       A		,	A		,	A = 1 / sqrt(2      )      ):
   '''simple docstring'''





   _a					:  List[Any]						=  tau * frequency / samplerate
   _a					:  Tuple						=  sin(A      )
   _a					:  List[Any]						=  cos(A      )
   _a					:  Union[str, Any]						=  _sin / (2 * q_factor)

   _a					:  Dict						=  (1 - _cos) / 2
   _a					:  Any						=  1 - _cos

   _a					:  Any						=  1 + alpha
   _a					:  int						=  -2 * _cos
   _a					:  str						=  1 - alpha

   _a					:  Optional[Any]						=  IIRFilter(2      )
   filt.set_coefficients([aa, aa, aa]		,	[ba, ba, ba]      )
   return filt


def    UpperCAmelCase_  (       A		,	A		,	A = 1 / sqrt(2      )      ):
   '''simple docstring'''





   _a					:  int						=  tau * frequency / samplerate
   _a					:  int						=  sin(A      )
   _a					:  Union[str, Any]						=  cos(A      )
   _a					:  int						=  _sin / (2 * q_factor)

   _a					:  Dict						=  (1 + _cos) / 2
   _a					:  int						=  -1 - _cos

   _a					:  Optional[int]						=  1 + alpha
   _a					:  str						=  -2 * _cos
   _a					:  Dict						=  1 - alpha

   _a					:  List[str]						=  IIRFilter(2      )
   filt.set_coefficients([aa, aa, aa]		,	[ba, ba, ba]      )
   return filt


def    UpperCAmelCase_  (       A		,	A		,	A = 1 / sqrt(2      )      ):
   '''simple docstring'''





   _a					:  str						=  tau * frequency / samplerate
   _a					:  Dict						=  sin(A      )
   _a					:  int						=  cos(A      )
   _a					:  Dict						=  _sin / (2 * q_factor)

   _a					:  List[Any]						=  _sin / 2
   _a					:  List[str]						=  0
   _a					:  Dict						=  -ba

   _a					:  List[Any]						=  1 + alpha
   _a					:  Union[str, Any]						=  -2 * _cos
   _a					:  List[Any]						=  1 - alpha

   _a					:  int						=  IIRFilter(2      )
   filt.set_coefficients([aa, aa, aa]		,	[ba, ba, ba]      )
   return filt


def    UpperCAmelCase_  (       A		,	A		,	A = 1 / sqrt(2      )      ):
   '''simple docstring'''





   _a					:  Optional[Any]						=  tau * frequency / samplerate
   _a					:  Tuple						=  sin(A      )
   _a					:  Tuple						=  cos(A      )
   _a					:  Dict						=  _sin / (2 * q_factor)

   _a					:  List[Any]						=  1 - alpha
   _a					:  int						=  -2 * _cos
   _a					:  List[Any]						=  1 + alpha

   _a					:  str						=  IIRFilter(2      )
   filt.set_coefficients([ba, ba, ba]		,	[ba, ba, ba]      )
   return filt


def    UpperCAmelCase_  (       A		,	A		,	A		,	A = 1 / sqrt(2      )		,	):
   '''simple docstring'''





   _a					:  Union[str, Any]						=  tau * frequency / samplerate
   _a					:  str						=  sin(A      )
   _a					:  str						=  cos(A      )
   _a					:  List[Any]						=  _sin / (2 * q_factor)
   _a					:  Optional[Any]						=  1_0 ** (gain_db / 4_0)

   _a					:  Dict						=  1 + alpha * big_a
   _a					:  str						=  -2 * _cos
   _a					:  Tuple						=  1 - alpha * big_a
   _a					:  Tuple						=  1 + alpha / big_a
   _a					:  str						=  -2 * _cos
   _a					:  Union[str, Any]						=  1 - alpha / big_a

   _a					:  Optional[int]						=  IIRFilter(2      )
   filt.set_coefficients([aa, aa, aa]		,	[ba, ba, ba]      )
   return filt


def    UpperCAmelCase_  (       A		,	A		,	A		,	A = 1 / sqrt(2      )		,	):
   '''simple docstring'''





   _a					:  Optional[int]						=  tau * frequency / samplerate
   _a					:  List[str]						=  sin(A      )
   _a					:  Tuple						=  cos(A      )
   _a					:  Union[str, Any]						=  _sin / (2 * q_factor)
   _a					:  str						=  1_0 ** (gain_db / 4_0)
   _a					:  Optional[Any]						=  (big_a + 1) - (big_a - 1) * _cos
   _a					:  List[str]						=  (big_a + 1) + (big_a - 1) * _cos
   _a					:  List[Any]						=  (big_a - 1) - (big_a + 1) * _cos
   _a					:  Dict						=  (big_a - 1) + (big_a + 1) * _cos
   _a					:  Tuple						=  2 * sqrt(A      ) * alpha

   _a					:  Any						=  big_a * (pmc + aaa)
   _a					:  Optional[int]						=  2 * big_a * mpc
   _a					:  Dict						=  big_a * (pmc - aaa)
   _a					:  List[str]						=  ppmc + aaa
   _a					:  int						=  -2 * pmpc
   _a					:  Tuple						=  ppmc - aaa

   _a					:  Tuple						=  IIRFilter(2      )
   filt.set_coefficients([aa, aa, aa]		,	[ba, ba, ba]      )
   return filt







def    UpperCAmelCase_  (       A		,	A		,	A		,	A = 1 / sqrt(2      )		,	):
   '''simple docstring'''





   _a					:  Dict						=  tau * frequency / samplerate
   _a					:  Tuple						=  sin(A      )
   _a					:  Any						=  cos(A      )
   _a					:  int						=  _sin / (2 * q_factor)
   _a					:  str						=  1_0 ** (gain_db / 4_0)
   _a					:  List[Any]						=  (big_a + 1) - (big_a - 1) * _cos
   _a					:  Union[str, Any]						=  (big_a + 1) + (big_a - 1) * _cos
   _a					:  List[Any]						=  (big_a - 1) - (big_a + 1) * _cos
   _a					:  List[str]						=  (big_a - 1) + (big_a + 1) * _cos
   _a					:  Union[str, Any]						=  2 * sqrt(A      ) * alpha

   _a					:  Optional[Any]						=  big_a * (ppmc + aaa)
   _a					:  List[str]						=  -2 * big_a * pmpc
   _a					:  Any						=  big_a * (ppmc - aaa)
   _a					:  List[Any]						=  pmc + aaa
   _a					:  Tuple						=  2 * mpc
   _a					:  List[Any]						=  pmc - aaa

   _a					:  str						=  IIRFilter(2      )
   filt.set_coefficients([aa, aa, aa]		,	[ba, ba, ba]      )
   return filt


