



"""simple docstring"""

from __future__ import annotations




class        _UpperCAmelCase       :

 def __init__(     self		:       Any  ,     lowercase_		:       int = 0				):
     snake_case_ :     List[Any]				=	key

 def 						_snake_case					(     self		:       Dict  ,     lowercase_		:       str  ,     lowercase_		:       int				):
     assert isinstance(lowercase_  ,     lowercase_				) and isinstance(lowercase_  ,     lowercase_				)

     snake_case_ :     List[Any]				=	key or self.__key or 1

     # make sure key is an appropriate size
     key %= 255

     return [chr(ord(lowercase_				) ^ key				) for ch in content]

 def 						_snake_case					(     self		:       Union[str, Any]  ,     lowercase_		:       str  ,     lowercase_		:       int				):
     assert isinstance(lowercase_  ,     lowercase_				) and isinstance(lowercase_  ,     lowercase_				)

     snake_case_ :     List[Any]				=	key or self.__key or 1

     # make sure key is an appropriate size
     key %= 255

     return [chr(ord(lowercase_				) ^ key				) for ch in content]

 def 						_snake_case					(     self		:       Optional[Any]  ,     lowercase_		:       str  ,     lowercase_		:       int = 0				):
     assert isinstance(lowercase_  ,     lowercase_				) and isinstance(lowercase_  ,     lowercase_				)

     snake_case_ :     List[Any]				=	key or self.__key or 1

     # make sure key can be any size
     while key > 255:
         key -= 255

     # This will be returned
     snake_case_ :     str				=	''''''

     for ch in content:
         ans += chr(ord(lowercase_				) ^ key				)

     return ans

 def 						_snake_case					(     self		:       List[str]  ,     lowercase_		:       str  ,     lowercase_		:       int = 0				):
     assert isinstance(lowercase_  ,     lowercase_				) and isinstance(lowercase_  ,     lowercase_				)

     snake_case_ :     Any				=	key or self.__key or 1

     # make sure key can be any size
     while key > 255:
         key -= 255

     # This will be returned
     snake_case_ :     Any				=	''''''

     for ch in content:
         ans += chr(ord(lowercase_				) ^ key				)

     return ans

 def 						_snake_case					(     self		:       Tuple  ,     lowercase_		:       str  ,     lowercase_		:       int = 0				):
     assert isinstance(lowercase_  ,     lowercase_				) and isinstance(lowercase_  ,     lowercase_				)

     try:
         with open(lowercase_				) as fin, open('''encrypt.out'''  ,     '''w+'''				) as fout:
             # actual encrypt-process
             for line in fin:
                 fout.write(self.encrypt_string(lowercase_  ,     lowercase_				)				)

     except OSError:
         return False

     return True






 def 						_snake_case					(     self		:       Union[str, Any]  ,     lowercase_		:       str  ,     lowercase_		:       int				):
     assert isinstance(lowercase_  ,     lowercase_				) and isinstance(lowercase_  ,     lowercase_				)

     try:
         with open(lowercase_				) as fin, open('''decrypt.out'''  ,     '''w+'''				) as fout:
             # actual encrypt-process
             for line in fin:
                 fout.write(self.decrypt_string(lowercase_  ,     lowercase_				)				)

     except OSError:
         return False

     return True


# Tests
# crypt = XORCipher()
# key = 67

# # test encrypt
# print(crypt.encrypt("hallo welt",key))
# # test decrypt
# print(crypt.decrypt(crypt.encrypt("hallo welt",key), key))

# # test encrypt_string
# print(crypt.encrypt_string("hallo welt",key))

# # test decrypt_string
# print(crypt.decrypt_string(crypt.encrypt_string("hallo welt",key),key))

# if (crypt.encrypt_file("test.txt",key)):
#       print("encrypt successful")
# else:
#       print("encrypt unsuccessful")

# if (crypt.decrypt_file("encrypt.out",key)):
#       print("decrypt successful")
# else:
#       print("decrypt unsuccessful")










"""simple docstring"""

from sympy import diff, lambdify, symbols
from sympy.functions import *  # noqa: F403




def __lowercase			(							_a		,			_a		,			_a = "x"		,			_a = 10**-10		,			_a = 1		,			):
    snake_case_ :     Any				=	symbols(_a    )
    snake_case_ :     int				=	lambdify(_a		,			_a    )
    snake_case_ :     Optional[Any]				=	lambdify(_a		,			diff(_a		,			_a    )    )

    snake_case_ :     Optional[Any]				=	starting_point

    while True:
        if diff_function(_a    ) != 0:
            snake_case_ :     Optional[int]				=	prev_guess - multiplicity * func(_a    ) / diff_function(
                _a    )
        else:
            raise ZeroDivisionError('''Could not find root'''    ) from None

        # Precision is checked by comparing the difference of consecutive guesses
        if abs(next_guess - prev_guess    ) < precision:
            return next_guess

        snake_case_ :     int				=	next_guess


# Let's Execute
if __name__ == "__main__":
     # Find root of trigonometric function
     # Find value of pi
     print(f'The root of sin(x) = 0 is {newton_raphson("sin(x)", 2)}')

     # Find root of polynomial
     # Find fourth Root of 5
     print(f'The root of x**4 - 5 = 0 is {newton_raphson("x**4 -5", 0.4 +5j)}')

     # Find value of e
     print(
         '''The root of log(y) - 1 = 0 is ''',
         f'{newton_raphson("log(y) - 1", 2, variable="y")}',
     )

     # Exponential Roots
     print(
         '''The root of exp(x) - 1 = 0 is''',
         f'{newton_raphson("exp(x) - 1", 10, precision=0.005)}',
     )

     # Find root of cos(x)
     print(f'The root of cos(x) = 0 is {newton_raphson("cos(x)", 0)}')





