


"""simple docstring"""


from __future__ import annotations

__snake_case    					=					tuple[int, int, int]
__snake_case    					=					tuple[str, str, str]


# used alphabet --------------------------
# from string.ascii_uppercase
__snake_case    					=					'ABCDEFGHIJKLMNOPQRSTUVWXYZ'

# -------------------------- default selection --------------------------
# rotors --------------------------
__snake_case    					=					'EGZWVONAHDCLFQMSIPJBYUKXTR'
__snake_case    					=					'FOBHMDKEXQNRAULPGSJVTYICZW'
__snake_case    					=					'ZJXESIUQLHAVRMDOYGTNFWPBKC'
# reflector --------------------------
__snake_case    					=					{
    '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 --------------------------
__snake_case    					=					'RMDJXFUWGISLHVTCQNKYPBEZOA'
__snake_case    					=					'SGLCPQWZHKXAREONTFBVIYJUDM'
__snake_case    					=					'HVSICLTYKQUBXDWAJZOMFGPREN'
__snake_case    					=					'RZWQHFMVDBKICJLNTUXAGYPSOE'
__snake_case    					=					'LFKIJODBEGAMQPXVUHYSTCZRWN'
__snake_case    					=					'KOAEGVDHXPQZMLFTYWJNBRCIUS'


def    _lowerCamelCase   (     lowerCamelCase__	:							RotorPositionT       ,		lowerCamelCase__	:							RotorSelectionT       ,		lowerCamelCase__	:							str  ):
 # Checks if there are 3 unique rotors

 if (unique_rotsel := len(set(lowerCamelCase__  )  )) < 3:
  lowercase__       :       int				=						f'''Please use 3 unique rotors (not {unique_rotsel})'''
  raise Exception(lowerCamelCase__  )

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

 # Validates string and returns dict
 lowercase__       :       Dict				=						_plugboard(lowerCamelCase__  )

 return rotpos, rotsel, pbdict


def    _lowerCamelCase   (     lowerCamelCase__	:							str  ):

 # tests the input string if it
 # a) is type string
 # b) has even length (so pairs can be made)
 if not isinstance(lowerCamelCase__       ,		lowerCamelCase__  ):
  lowercase__       :       List[Any]				=						f'''Plugboard setting isn\'t type string ({type(lowerCamelCase__  )})'''
  raise TypeError(lowerCamelCase__  )
 elif len(lowerCamelCase__  ) % 2 != 0:
  lowercase__       :       Optional[int]				=						f'''Odd number of symbols ({len(lowerCamelCase__  )})'''
  raise Exception(lowerCamelCase__  )
 elif pbstring == "":
  return {}

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

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

 # Created the dictionary
 lowercase__       :       List[str]				=						{}
 for j in range(0       ,		len(lowerCamelCase__  ) - 1       ,		2  ):
  lowercase__       :       Tuple				=						pbstring[j + 1]
  lowercase__       :       Optional[Any]				=						pbstring[j]

 return pb


def    _lowerCamelCase   (     lowerCamelCase__	:							str       ,		lowerCamelCase__	:							RotorPositionT       ,		lowerCamelCase__	:							RotorSelectionT = (rotora, rotora, rotora)       ,		lowerCamelCase__	:							str = ""       ,		):
 lowercase__       :       Optional[int]				=						text.upper()
 lowercase__	,       lowercase__	,       lowercase__       :       Optional[int]				=						_validator(
     lowerCamelCase__       ,		lowerCamelCase__       ,		plugb.upper()  )

 lowercase__	,       lowercase__	,       lowercase__       :       Tuple				=						rotor_position
 lowercase__	,       lowercase__	,       lowercase__       :       int				=						rotor_selection
 rotorposa -= 1
 rotorposa -= 1
 rotorposa -= 1

 lowercase__       :       List[Any]				=						[]

 # encryption/decryption process --------------------------
 for symbol in text:
  if symbol in abc:
   # 1st plugboard --------------------------
   if symbol in plugboard:
    lowercase__       :       int				=						plugboard[symbol]

   # rotor ra --------------------------
   lowercase__       :       str				=						abc.index(lowerCamelCase__  ) + rotorposa
   lowercase__       :       Optional[Any]				=						rotora[index % len(lowerCamelCase__  )]

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

   # rotor rc --------------------------
   lowercase__       :       Optional[Any]				=						abc.index(lowerCamelCase__  ) + rotorposa
   lowercase__       :       Tuple				=						rotora[index % len(lowerCamelCase__  )]

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

   lowercase__       :       List[Any]				=						reflector[symbol]

   # 2nd rotors
   lowercase__       :       Union[str, Any]				=						abc[rotora.index(lowerCamelCase__  ) - rotorposa]
   lowercase__       :       Optional[Any]				=						abc[rotora.index(lowerCamelCase__  ) - rotorposa]
   lowercase__       :       int				=						abc[rotora.index(lowerCamelCase__  ) - rotorposa]

   # 2nd plugboard
   if symbol in plugboard:
    lowercase__       :       Dict				=						plugboard[symbol]

   # moves/resets rotor positions
   rotorposa += 1
   if rotorposa >= len(lowerCamelCase__  ):
    lowercase__       :       str				=						0
    rotorposa += 1
   if rotorposa >= len(lowerCamelCase__  ):
    lowercase__       :       Union[str, Any]				=						0
    rotorposa += 1
   if rotorposa >= len(lowerCamelCase__  ):
    lowercase__       :       Any				=						0

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

 return "".join(lowerCamelCase__  )


if __name__ == "__main__":
   __snake_case    					=					'This is my Python script that emulates the Enigma machine from WWII.'
   __snake_case    					=					(1, 1, 1)
   __snake_case    					=					'pictures'
   __snake_case    					=					(rotora, rotora, rotora)
   __snake_case    					=					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    _lowerCamelCase   (     lowerCamelCase__	:							int       ,		lowerCamelCase__	:							int       ,		lowerCamelCase__	:							float = 1 / sqrt(2  )  ):
 lowercase__       :       str				=						tau * frequency / samplerate
 lowercase__       :       Union[str, Any]				=						sin(lowerCamelCase__  )
 lowercase__       :       int				=						cos(lowerCamelCase__  )
 lowercase__       :       Union[str, Any]				=						_sin / (2 * q_factor)

 lowercase__       :       str				=						(1 - _cos) / 2
 lowercase__       :       Optional[Any]				=						1 - _cos

 lowercase__       :       List[Any]				=						1 + alpha
 lowercase__       :       Dict				=						-2 * _cos
 lowercase__       :       List[str]				=						1 - alpha

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


def    _lowerCamelCase   (     lowerCamelCase__	:							int       ,		lowerCamelCase__	:							int       ,		lowerCamelCase__	:							float = 1 / sqrt(2  )  ):
 lowercase__       :       Optional[int]				=						tau * frequency / samplerate
 lowercase__       :       Any				=						sin(lowerCamelCase__  )
 lowercase__       :       Any				=						cos(lowerCamelCase__  )
 lowercase__       :       Tuple				=						_sin / (2 * q_factor)

 lowercase__       :       Tuple				=						(1 + _cos) / 2
 lowercase__       :       str				=						-1 - _cos

 lowercase__       :       Dict				=						1 + alpha
 lowercase__       :       Dict				=						-2 * _cos
 lowercase__       :       int				=						1 - alpha

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


def    _lowerCamelCase   (     lowerCamelCase__	:							int       ,		lowerCamelCase__	:							int       ,		lowerCamelCase__	:							float = 1 / sqrt(2  )  ):
 lowercase__       :       Optional[int]				=						tau * frequency / samplerate
 lowercase__       :       str				=						sin(lowerCamelCase__  )
 lowercase__       :       int				=						cos(lowerCamelCase__  )
 lowercase__       :       Dict				=						_sin / (2 * q_factor)

 lowercase__       :       Dict				=						_sin / 2
 lowercase__       :       Union[str, Any]				=						0
 lowercase__       :       int				=						-ba

 lowercase__       :       List[Any]				=						1 + alpha
 lowercase__       :       Tuple				=						-2 * _cos
 lowercase__       :       List[str]				=						1 - alpha

 lowercase__       :       Dict				=						IIRFilter(2  )
 filt.set_coefficients([aa, aa, aa]       ,		[ba, ba, ba]  )
 return filt


def    _lowerCamelCase   (     lowerCamelCase__	:							int       ,		lowerCamelCase__	:							int       ,		lowerCamelCase__	:							float = 1 / sqrt(2  )  ):
 lowercase__       :       str				=						tau * frequency / samplerate
 lowercase__       :       Dict				=						sin(lowerCamelCase__  )
 lowercase__       :       Union[str, Any]				=						cos(lowerCamelCase__  )
 lowercase__       :       Tuple				=						_sin / (2 * q_factor)

 lowercase__       :       List[Any]				=						1 - alpha
 lowercase__       :       Any				=						-2 * _cos
 lowercase__       :       Optional[Any]				=						1 + alpha

 lowercase__       :       List[Any]				=						IIRFilter(2  )
 filt.set_coefficients([ba, ba, ba]       ,		[ba, ba, ba]  )
 return filt


def    _lowerCamelCase   (     lowerCamelCase__	:							int       ,		lowerCamelCase__	:							int       ,		lowerCamelCase__	:							float       ,		lowerCamelCase__	:							float = 1 / sqrt(2  )       ,		):
 lowercase__       :       Tuple				=						tau * frequency / samplerate
 lowercase__       :       str				=						sin(lowerCamelCase__  )
 lowercase__       :       List[str]				=						cos(lowerCamelCase__  )
 lowercase__       :       Optional[int]				=						_sin / (2 * q_factor)
 lowercase__       :       Optional[Any]				=						10 ** (gain_db / 40)

 lowercase__       :       Optional[Any]				=						1 + alpha * big_a
 lowercase__       :       Dict				=						-2 * _cos
 lowercase__       :       Tuple				=						1 - alpha * big_a
 lowercase__       :       List[str]				=						1 + alpha / big_a
 lowercase__       :       List[Any]				=						-2 * _cos
 lowercase__       :       Optional[int]				=						1 - alpha / big_a

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


def    _lowerCamelCase   (     lowerCamelCase__	:							int       ,		lowerCamelCase__	:							int       ,		lowerCamelCase__	:							float       ,		lowerCamelCase__	:							float = 1 / sqrt(2  )       ,		):
 lowercase__       :       Optional[int]				=						tau * frequency / samplerate
 lowercase__       :       Dict				=						sin(lowerCamelCase__  )
 lowercase__       :       Union[str, Any]				=						cos(lowerCamelCase__  )
 lowercase__       :       int				=						_sin / (2 * q_factor)
 lowercase__       :       Union[str, Any]				=						10 ** (gain_db / 40)
 lowercase__       :       Dict				=						(big_a + 1) - (big_a - 1) * _cos
 lowercase__       :       Union[str, Any]				=						(big_a + 1) + (big_a - 1) * _cos
 lowercase__       :       List[Any]				=						(big_a - 1) - (big_a + 1) * _cos
 lowercase__       :       Dict				=						(big_a - 1) + (big_a + 1) * _cos
 lowercase__       :       Optional[int]				=						2 * sqrt(lowerCamelCase__  ) * alpha

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

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






def    _lowerCamelCase   (     lowerCamelCase__	:							int       ,		lowerCamelCase__	:							int       ,		lowerCamelCase__	:							float       ,		lowerCamelCase__	:							float = 1 / sqrt(2  )       ,		):
 lowercase__       :       int				=						tau * frequency / samplerate
 lowercase__       :       List[Any]				=						sin(lowerCamelCase__  )
 lowercase__       :       List[Any]				=						cos(lowerCamelCase__  )
 lowercase__       :       List[str]				=						_sin / (2 * q_factor)
 lowercase__       :       int				=						10 ** (gain_db / 40)
 lowercase__       :       str				=						(big_a + 1) - (big_a - 1) * _cos
 lowercase__       :       Optional[Any]				=						(big_a + 1) + (big_a - 1) * _cos
 lowercase__       :       Optional[int]				=						(big_a - 1) - (big_a + 1) * _cos
 lowercase__       :       int				=						(big_a - 1) + (big_a + 1) * _cos
 lowercase__       :       Optional[Any]				=						2 * sqrt(lowerCamelCase__  ) * alpha

 lowercase__       :       str				=						big_a * (ppmc + aaa)
 lowercase__       :       Union[str, Any]				=						-2 * big_a * pmpc
 lowercase__       :       List[Any]				=						big_a * (ppmc - aaa)
 lowercase__       :       str				=						pmc + aaa
 lowercase__       :       int				=						2 * mpc
 lowercase__       :       Any				=						pmc - aaa

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