



from __future__ import annotations

a_								=       tuple[int, int, int]
a_								=       tuple[str, str, str]


# used alphabet --------------------------
# from string.ascii_uppercase
a_								=       """ABCDEFGHIJKLMNOPQRSTUVWXYZ"""

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





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

   if (unique_rotsel := len(set(_UpperCamelCase				)				)) < 3:
      __lowerCamelCase    				=     F"""Please use 3 unique rotors (not {unique_rotsel})"""
      raise Exception(_UpperCamelCase				)

   # Checks if rotor positions are valid
   __lowerCamelCase				,__lowerCamelCase				,__lowerCamelCase    				=     rotpos
   if not 0 < rotorposa <= len(_UpperCamelCase				):
      __lowerCamelCase    				=     F"""First rotor position is not within range of 1..26 ({rotorposa}"""
      raise ValueError(_UpperCamelCase				)
   if not 0 < rotorposa <= len(_UpperCamelCase				):
      __lowerCamelCase    				=     F"""Second rotor position is not within range of 1..26 ({rotorposa})"""
      raise ValueError(_UpperCamelCase				)
   if not 0 < rotorposa <= len(_UpperCamelCase				):
      __lowerCamelCase    				=     F"""Third rotor position is not within range of 1..26 ({rotorposa})"""
      raise ValueError(_UpperCamelCase				)

   # Validates string and returns dict
   __lowerCamelCase    				=     _plugboard(_UpperCamelCase				)

   return rotpos, rotsel, pbdict





def 		a__      (		_UpperCamelCase      :			str				):

   # tests the input string if it
   # a) is type string
   # b) has even length (so pairs can be made)
   if not isinstance(_UpperCamelCase			,_UpperCamelCase				):
      __lowerCamelCase    				=     F"""Plugboard setting isn't type string ({type(_UpperCamelCase				)})"""
      raise TypeError(_UpperCamelCase				)
   elif len(_UpperCamelCase				) % 2 != 0:
      __lowerCamelCase    				=     F"""Odd number of symbols ({len(_UpperCamelCase				)})"""
      raise Exception(_UpperCamelCase				)
   elif pbstring == "":
      return {}

   pbstring.replace(''' '''			,''''''				)

   # Checks if all characters are unique
   __lowerCamelCase    				=     set()
   for i in pbstring:
      if i not in abc:
         __lowerCamelCase    				=     F"""'{i}' not in list of symbols"""
         raise Exception(_UpperCamelCase				)
      elif i in tmppbl:
         __lowerCamelCase    				=     F"""Duplicate symbol ({i})"""
         raise Exception(_UpperCamelCase				)
      else:
         tmppbl.add(_UpperCamelCase				)
   del tmppbl

   # Created the dictionary
   __lowerCamelCase    				=     {}
   for j in range(0			,len(_UpperCamelCase				) - 1			,2				):
      __lowerCamelCase    				=     pbstring[j + 1]
      __lowerCamelCase    				=     pbstring[j]

   return pb





def 		a__      (		_UpperCamelCase      :			str			,_UpperCamelCase      :			RotorPositionT			,_UpperCamelCase      :			RotorSelectionT = (rotora, rotora, rotora)			,_UpperCamelCase      :			str = ""			,):
   __lowerCamelCase    				=     text.upper()
   __lowerCamelCase				,__lowerCamelCase				,__lowerCamelCase    				=     _validator(
       _UpperCamelCase			,_UpperCamelCase			,plugb.upper()				)

   __lowerCamelCase				,__lowerCamelCase				,__lowerCamelCase    				=     rotor_position
   __lowerCamelCase				,__lowerCamelCase				,__lowerCamelCase    				=     rotor_selection
   rotorposa -= 1
   rotorposa -= 1
   rotorposa -= 1

   __lowerCamelCase    				=     []

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

         # rotor ra --------------------------
         __lowerCamelCase    				=     abc.index(_UpperCamelCase				) + rotorposa
         __lowerCamelCase    				=     rotora[index % len(_UpperCamelCase				)]

         # rotor rb --------------------------
         __lowerCamelCase    				=     abc.index(_UpperCamelCase				) + rotorposa
         __lowerCamelCase    				=     rotora[index % len(_UpperCamelCase				)]

         # rotor rc --------------------------
         __lowerCamelCase    				=     abc.index(_UpperCamelCase				) + rotorposa
         __lowerCamelCase    				=     rotora[index % len(_UpperCamelCase				)]

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

         __lowerCamelCase    				=     reflector[symbol]

         # 2nd rotors
         __lowerCamelCase    				=     abc[rotora.index(_UpperCamelCase				) - rotorposa]
         __lowerCamelCase    				=     abc[rotora.index(_UpperCamelCase				) - rotorposa]
         __lowerCamelCase    				=     abc[rotora.index(_UpperCamelCase				) - rotorposa]

         # 2nd plugboard
         if symbol in plugboard:
            __lowerCamelCase    				=     plugboard[symbol]

         # moves/resets rotor positions
         rotorposa += 1
         if rotorposa >= len(_UpperCamelCase				):
            __lowerCamelCase    				=     0
            rotorposa += 1
         if rotorposa >= len(_UpperCamelCase				):
            __lowerCamelCase    				=     0
            rotorposa += 1
         if rotorposa >= len(_UpperCamelCase				):
            __lowerCamelCase    				=     0

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

   return "".join(_UpperCamelCase				)


if __name__ == "__main__":
  a_								=       """This is my Python script that emulates the Enigma machine from WWII."""
  a_								=       (1, 1, 1)
  a_								=       """pictures"""
  a_								=       (rotora, rotora, rotora)
  a_								=       enigma(message, rotor_pos, rotor_sel, pb)

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











import numpy

# List of input, output pairs
a_								=       (
    ((5, 2, 3), 15),
    ((6, 5, 9), 25),
    ((11, 12, 13), 41),
    ((1, 1, 1), 8),
    ((11, 12, 13), 41),
)
a_								=       (((515, 22, 13), 555), ((61, 35, 49), 150))
a_								=       [2, 4, 1, 5]
a_								=       len(train_data)
a_								=       0.0_09





def 		a__      (		_UpperCamelCase      :			str			,_UpperCamelCase      :			List[Any]="train"				):
   return calculate_hypothesis_value(_UpperCamelCase			,_UpperCamelCase				) - output(
       _UpperCamelCase			,_UpperCamelCase				)





def 		a__      (		_UpperCamelCase      :			Optional[Any]				):
   __lowerCamelCase    				=     0
   for i in range(len(_UpperCamelCase				) - 1				):
      hyp_val += data_input_tuple[i] * parameter_vector[i + 1]
   hyp_val += parameter_vector[0]
   return hyp_val





def 		a__      (		_UpperCamelCase      :			Tuple			,_UpperCamelCase      :			List[Any]				):
   if data_set == "train":
      return train_data[example_no][1]
   elif data_set == "test":
      return test_data[example_no][1]
   return None





def 		a__      (		_UpperCamelCase      :			List[Any]			,_UpperCamelCase      :			Union[str, Any]				):
   if data_set == "train":
      return _hypothesis_value(train_data[example_no][0]				)
   elif data_set == "test":
      return _hypothesis_value(test_data[example_no][0]				)
   return None





def 		a__      (		_UpperCamelCase      :			Dict			,_UpperCamelCase      :			Dict=m				):
   __lowerCamelCase    				=     0
   for i in range(_UpperCamelCase				):
      if index == -1:
         summation_value += _error(_UpperCamelCase				)
      else:
         summation_value += _error(_UpperCamelCase				) * train_data[i][0][index]
   return summation_value





def 		a__      (		_UpperCamelCase      :			Optional[int]				):
   __lowerCamelCase    				=     summation_of_cost_derivative(_UpperCamelCase			,_UpperCamelCase				) / m
   return cost_derivative_value





def 		a__      (		):
   global parameter_vector
   # Tune these values to set a tolerance value for predicted output
   __lowerCamelCase    				=     0.000_002
   __lowerCamelCase    				=     0
   __lowerCamelCase    				=     0
   while True:
      j += 1
      __lowerCamelCase    				=     [0, 0, 0, 0]
      for i in range(0			,len(_UpperCamelCase				)				):
         __lowerCamelCase    				=     get_cost_derivative(i - 1				)
         __lowerCamelCase    				=     (
             parameter_vector[i] - LEARNING_RATE * cost_derivative
         )
      if numpy.allclose(
          _UpperCamelCase			,_UpperCamelCase			,atol=_UpperCamelCase			,rtol=_UpperCamelCase			,):
         break
      __lowerCamelCase    				=     temp_parameter_vector
   print(('''Number of iterations:''', j)				)





def 		a__      (		):
   for i in range(len(_UpperCamelCase				)				):
      print(('''Actual output value:''', output(_UpperCamelCase			,'''test'''				))				)
      print(('''Hypothesis output:''', calculate_hypothesis_value(_UpperCamelCase			,'''test'''				))				)


if __name__ == "__main__":
  run_gradient_descent()
  print("""\nTesting gradient descent for a linear hypothesis function.\n""")
  test_gradient_descent()






