
from __future__ import annotations

lowerCamelCase  =tuple[int, int, int]
lowerCamelCase  =tuple[str, str, str]


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

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


def 				SCREAMING_SNAKE_CASE_   (      UpperCamelCase__			,		UpperCamelCase__			,		UpperCamelCase__		):
      # Checks if there are 3 unique rotors

      if (unique_rotsel := len(set(lowercase_		)		)) < 3:
            UpperCamelCase__     : Dict											=					f'''Please use 3 unique rotors (not {unique_rotsel})'''
            raise Exception(lowercase_		)

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

      # Validates string and returns dict
      UpperCamelCase__     : Dict											=					_plugboard(lowercase_		)

      return rotpos, rotsel, pbdict


def 				SCREAMING_SNAKE_CASE_   (      UpperCamelCase__		):

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

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

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

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

      return pb


def 				SCREAMING_SNAKE_CASE_   (      UpperCamelCase__			,		UpperCamelCase__			,		UpperCamelCase__ = (rotora, rotora, rotora)			,		UpperCamelCase__ = ""			,		):
      UpperCamelCase__     : Dict											=					text.upper()
      UpperCamelCase__     : int											=					_validator(
          lowercase_			,		lowercase_			,		plugb.upper()		)

      UpperCamelCase__     : Tuple											=					rotor_position
      UpperCamelCase__     : Dict											=					rotor_selection
      rotorposa -= 1
      rotorposa -= 1
      rotorposa -= 1

      UpperCamelCase__     : str											=					[]

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

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

                  # rotor rb --------------------------
                  UpperCamelCase__     : Union[str, Any]											=					abc.index(lowercase_		) + rotorposa
                  UpperCamelCase__     : Optional[Any]											=					rotora[index % len(lowercase_		)]

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

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

                  UpperCamelCase__     : List[Any]											=					reflector[symbol]

                  # 2nd rotors
                  UpperCamelCase__     : List[Any]											=					abc[rotora.index(lowercase_		) - rotorposa]
                  UpperCamelCase__     : Any											=					abc[rotora.index(lowercase_		) - rotorposa]
                  UpperCamelCase__     : Dict											=					abc[rotora.index(lowercase_		) - rotorposa]

                  # 2nd plugboard
                  if symbol in plugboard:
                        UpperCamelCase__     : Optional[int]											=					plugboard[symbol]

                  # moves/resets rotor positions
                  rotorposa += 1
                  if rotorposa >= len(lowercase_		):
                        UpperCamelCase__     : Optional[int]											=					0
                        rotorposa += 1
                  if rotorposa >= len(lowercase_		):
                        UpperCamelCase__     : Any											=					0
                        rotorposa += 1
                  if rotorposa >= len(lowercase_		):
                        UpperCamelCase__     : str											=					0

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

      return "".join(lowercase_		)


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

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









from __future__ import annotations

from scipy.special import comb  # type: ignore







class       __A							:




      """simple docstring"""







      def __init__(		self   ,				a__):



             """simple docstring"""





             _lowerCamelCase				:  str						=		list_of_points
             # Degree determines the flexibility of the curve.
             # Degree = 1 will produce a straight line.
             _lowerCamelCase				:  List[Any]						=		len(a__) - 1


      def 					__snake_case      (		self   ,				a__):



             """simple docstring"""





             assert 0 <= t <= 1, "Time t must be between 0 and 1."
             _lowerCamelCase				:  list[float]						=		[]
             for i in range(len(self.list_of_points)):
                    # basis function for each i
                    output_values.append(
                        comb(self.degree   ,				a__) * ((1 - t) ** (self.degree - i)) * (t**i))
             # the basis must sum up to 1 for it to produce a valid Bezier curve.
             assert round(sum(a__)   ,				5) == 1
             return output_values


      def 					__snake_case      (		self   ,				a__):



             """simple docstring"""





             assert 0 <= t <= 1, "Time t must be between 0 and 1."

             _lowerCamelCase				:  Any						=		self.basis_function(a__)
             _lowerCamelCase				:  List[Any]						=		0.0
             _lowerCamelCase				:  List[Any]						=		0.0
             for i in range(len(self.list_of_points)):
                    # For all points, sum up the product of i-th basis function and i-th point.
                    x += basis_function[i] * self.list_of_points[i][0]
                    y += basis_function[i] * self.list_of_points[i][1]
             return (x, y)



      def 					__snake_case      (		self   ,				a__ = 0.01):



             """simple docstring"""





             from matplotlib import pyplot as plt  # type: ignore

             _lowerCamelCase				:  list[float]						=		[]  # x coordinates of points to plot
             _lowerCamelCase				:  list[float]						=		[]  # y coordinates of points to plot

             _lowerCamelCase				:  List[Any]						=		0.0
             while t <= 1:
                    _lowerCamelCase				:  Tuple						=		self.bezier_curve_function(a__)
                    to_plot_x.append(value[0])
                    to_plot_y.append(value[1])
                    t += step_size

             _lowerCamelCase				:  List[Any]						=		[i[0] for i in self.list_of_points]
             _lowerCamelCase				:  Union[str, Any]						=		[i[1] for i in self.list_of_points]

             plt.plot(
                 a__   ,				a__   ,				color='''blue'''   ,				label='''Curve of Degree ''' + str(self.degree)   ,				)
             plt.scatter(a__   ,				a__   ,				color='''red'''   ,				label='''Control Points''')
             plt.legend()
             plt.show()


if __name__ == "__main__":
       import doctest

       doctest.testmod()

       BezierCurve([(1, 2), (3, 5)]).plot_curve()  # degree 1
       BezierCurve([(0, 0), (5, 5), (5, 0)]).plot_curve()  # degree 2
       BezierCurve([(0, 0), (5, 5), (5, 0), (2.5, -2.5)]).plot_curve()  # degree 3

