

'''simple docstring'''




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


def    lowerCamelCase__		(    SCREAMING_SNAKE_CASE   : str							, SCREAMING_SNAKE_CASE   : complex							, SCREAMING_SNAKE_CASE   : str = "x"							, SCREAMING_SNAKE_CASE   : float = 10**-10							, SCREAMING_SNAKE_CASE   : int = 1							, ):
  UpperCAmelCase    				=						symbols(SCREAMING_SNAKE_CASE    )
  UpperCAmelCase    				=						lambdify(SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE    )
  UpperCAmelCase    				=						lambdify(SCREAMING_SNAKE_CASE							, diff(SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE    )    )

  UpperCAmelCase    				=						starting_point

  while True:
    if diff_function(SCREAMING_SNAKE_CASE    ) != 0:
      UpperCAmelCase    				=						prev_guess - multiplicity * func(SCREAMING_SNAKE_CASE    ) / diff_function(
          SCREAMING_SNAKE_CASE    )
    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

    UpperCAmelCase    				=						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)}''')





'''simple docstring'''




import warnings

from ...utils import logging
from .image_processing_donut import DonutImageProcessor


_a					:			List[Any]							=    logging.get_logger(__name__)



class 							lowercase_						(		a			):

  '''simple docstring'''





  def __init__(  self ,			*a_ ,			**a_  )				->					None:


    """simple docstring"""
    warnings.warn(
        'The class DonutFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please'
        ' use DonutImageProcessor instead.' ,			a_ ,			)
    super().__init__(*a_ ,			**a_  )


