



from __future__ import annotations

__snake_case       :	List[Any]            =tuple[int, int, int]
__snake_case       :	str            =tuple[str, str, str]


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

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






def 			lowerCAmelCase__	(					lowerCamelCase_	:	RotorPositionT ,lowerCamelCase_	:	RotorSelectionT ,lowerCamelCase_	:	str):





				'''simple docstring'''

				if (unique_rotsel := len(set(lowerCamelCase_))) < 3:
								lowerCAmelCase__  :       Any				=  f"""Please use 3 unique rotors (not {unique_rotsel})"""
								raise Exception(lowerCamelCase_)

				# Checks if rotor positions are valid
				lowerCAmelCase__		,	lowerCAmelCase__		,	lowerCAmelCase__  :       Dict				=  rotpos
				if not 0 < rotorposa <= len(lowerCamelCase_):
								lowerCAmelCase__  :       int				=  f"""First rotor position is not within range of 1..26 ({rotorposa}"""
								raise ValueError(lowerCamelCase_)
				if not 0 < rotorposa <= len(lowerCamelCase_):
								lowerCAmelCase__  :       str				=  f"""Second rotor position is not within range of 1..26 ({rotorposa})"""
								raise ValueError(lowerCamelCase_)
				if not 0 < rotorposa <= len(lowerCamelCase_):
								lowerCAmelCase__  :       Tuple				=  f"""Third rotor position is not within range of 1..26 ({rotorposa})"""
								raise ValueError(lowerCamelCase_)

				# Validates string and returns dict
				lowerCAmelCase__  :       Optional[int]				=  _plugboard(lowerCamelCase_)

				return rotpos, rotsel, pbdict






def 			lowerCAmelCase__	(					lowerCamelCase_	:	str):





				'''simple docstring'''

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

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

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

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

				return pb






def 			lowerCAmelCase__	(					lowerCamelCase_	:	str ,lowerCamelCase_	:	RotorPositionT ,lowerCamelCase_	:	RotorSelectionT = (rotora, rotora, rotora) ,lowerCamelCase_	:	str = "" ,):





				'''simple docstring'''

				lowerCAmelCase__  :       Any				=  text.upper()
				lowerCAmelCase__		,	lowerCAmelCase__		,	lowerCAmelCase__  :       List[str]				=  _validator(
				    lowerCamelCase_ ,lowerCamelCase_ ,plugb.upper())

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

				lowerCAmelCase__  :       str				=  []

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

												# rotor ra --------------------------
												lowerCAmelCase__  :       Dict				=  abc.index(lowerCamelCase_) + rotorposa
												lowerCAmelCase__  :       List[str]				=  rotora[index % len(lowerCamelCase_)]

												# rotor rb --------------------------
												lowerCAmelCase__  :       Any				=  abc.index(lowerCamelCase_) + rotorposa
												lowerCAmelCase__  :       str				=  rotora[index % len(lowerCamelCase_)]

												# rotor rc --------------------------
												lowerCAmelCase__  :       Optional[int]				=  abc.index(lowerCamelCase_) + rotorposa
												lowerCAmelCase__  :       Optional[int]				=  rotora[index % len(lowerCamelCase_)]

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

												lowerCAmelCase__  :       Any				=  reflector[symbol]

												# 2nd rotors
												lowerCAmelCase__  :       List[Any]				=  abc[rotora.index(lowerCamelCase_) - rotorposa]
												lowerCAmelCase__  :       int				=  abc[rotora.index(lowerCamelCase_) - rotorposa]
												lowerCAmelCase__  :       Union[str, Any]				=  abc[rotora.index(lowerCamelCase_) - rotorposa]

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

												# moves/resets rotor positions
												rotorposa += 1
												if rotorposa >= len(lowerCamelCase_):
																lowerCAmelCase__  :       List[Any]				=  0
																rotorposa += 1
												if rotorposa >= len(lowerCamelCase_):
																lowerCAmelCase__  :       List[str]				=  0
																rotorposa += 1
												if rotorposa >= len(lowerCamelCase_):
																lowerCAmelCase__  :       Optional[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       :	Optional[int]            ='This is my Python script that emulates the Enigma machine from WWII.'
							__snake_case       :	str            =(1, 1, 1)
							__snake_case       :	Dict            ='pictures'
							__snake_case       :	Union[str, Any]            =(rotora, rotora, rotora)
							__snake_case       :	Any            =enigma(message, rotor_pos, rotor_sel, pb)

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




from collections.abc import Callable

import numpy as np






def 			lowerCAmelCase__	(					lowerCamelCase_	:	Callable ,lowerCamelCase_	:	float ,lowerCamelCase_	:	float ,lowerCamelCase_	:	float ,lowerCamelCase_	:	float):





				'''simple docstring'''

				lowerCAmelCase__  :       Dict				=  int(np.ceil((x_end - xa) / step_size))
				lowerCAmelCase__  :       Any				=  np.zeros((n + 1,))
				lowerCAmelCase__  :       Union[str, Any]				=  ya
				lowerCAmelCase__  :       str				=  xa

				for k in range(lowerCamelCase_):
								lowerCAmelCase__  :       Tuple				=  y[k] + step_size * ode_func(lowerCamelCase_ ,y[k])
								lowerCAmelCase__  :       str				=  y[k] + (
								    (step_size / 2) * (ode_func(lowerCamelCase_ ,y[k]) + ode_func(x + step_size ,lowerCamelCase_))
								)
								x += step_size

				return y


if __name__ == "__main__":
							import doctest

							doctest.testmod()

