



"""simple docstring"""

from ..utils import DummyObject, requires_backends




class        _UpperCAmelCase       (			metaclass=lowerCAmelCase__):
 _lowerCAmelCase   :			Optional[Any]							=		["""flax""", """transformers"""]

 def __init__(     self		:       Any  ,     *lowercase_		:       Any  ,     **lowercase_		:       str				):
     requires_backends(self  ,     ['''flax''', '''transformers''']				)

 @classmethod
 def 						_snake_case					(     cls		:       str  ,     *lowercase_		:       Optional[int]  ,     **lowercase_		:       List[Any]				):
     requires_backends(cls  ,     ['''flax''', '''transformers''']				)






 @classmethod
 def 						_snake_case					(     cls		:       str  ,     *lowercase_		:       Dict  ,     **lowercase_		:       Union[str, Any]				):
     requires_backends(cls  ,     ['''flax''', '''transformers''']				)





class        _UpperCAmelCase       (			metaclass=lowerCAmelCase__):
 _lowerCAmelCase   :			Tuple							=		["""flax""", """transformers"""]

 def __init__(     self		:       Optional[int]  ,     *lowercase_		:       List[str]  ,     **lowercase_		:       List[str]				):
     requires_backends(self  ,     ['''flax''', '''transformers''']				)

 @classmethod
 def 						_snake_case					(     cls		:       Optional[int]  ,     *lowercase_		:       int  ,     **lowercase_		:       List[str]				):
     requires_backends(cls  ,     ['''flax''', '''transformers''']				)






 @classmethod
 def 						_snake_case					(     cls		:       int  ,     *lowercase_		:       Union[str, Any]  ,     **lowercase_		:       Optional[Any]				):
     requires_backends(cls  ,     ['''flax''', '''transformers''']				)





class        _UpperCAmelCase       (			metaclass=lowerCAmelCase__):
 _lowerCAmelCase   :			List[str]							=		["""flax""", """transformers"""]

 def __init__(     self		:       Tuple  ,     *lowercase_		:       List[Any]  ,     **lowercase_		:       Optional[Any]				):
     requires_backends(self  ,     ['''flax''', '''transformers''']				)

 @classmethod
 def 						_snake_case					(     cls		:       Tuple  ,     *lowercase_		:       Any  ,     **lowercase_		:       Optional[int]				):
     requires_backends(cls  ,     ['''flax''', '''transformers''']				)






 @classmethod
 def 						_snake_case					(     cls		:       int  ,     *lowercase_		:       Dict  ,     **lowercase_		:       Tuple				):
     requires_backends(cls  ,     ['''flax''', '''transformers''']				)





class        _UpperCAmelCase       (			metaclass=lowerCAmelCase__):
 _lowerCAmelCase   :			List[Any]							=		["""flax""", """transformers"""]

 def __init__(     self		:       Tuple  ,     *lowercase_		:       Tuple  ,     **lowercase_		:       str				):
     requires_backends(self  ,     ['''flax''', '''transformers''']				)

 @classmethod
 def 						_snake_case					(     cls		:       Optional[int]  ,     *lowercase_		:       Dict  ,     **lowercase_		:       Optional[int]				):
     requires_backends(cls  ,     ['''flax''', '''transformers''']				)






 @classmethod
 def 						_snake_case					(     cls		:       Optional[Any]  ,     *lowercase_		:       Union[str, Any]  ,     **lowercase_		:       Optional[int]				):
     requires_backends(cls  ,     ['''flax''', '''transformers''']				)










"""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)}')





