
"""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			,		)							->							Optional[Any]:
    """simple docstring"""

    snake_case								= symbols(A__		)
    snake_case								= lambdify(A__			,		A__		)
    snake_case								= lambdify(A__			,		diff(A__			,		A__		)		)

    snake_case								= starting_point

    while True:
        if diff_function(A__		) != 0:
            snake_case								= 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								= 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)}")



from ....utils import logging


_A   =			logging.get_logger(__name__)







class 					lowerCamelCase		(  A_  ):





     def __init__(self				:   Tuple    ,   _A				:   Optional[int]    ,   _A				:   Tuple=None    ,   _A				:   Union[str, Any]=2_0_4_8       )						->						List[Any]:
         snake_case								= config.__dict__
         snake_case								= modal_hidden_size
         if num_labels:
             snake_case								= num_labels

