code: 
  
  
  from dataclasses import dataclass
  from typing import List, Optional, Union
  
  import numpy as np
  import PIL
  from PIL import Image
  
  from ...utils import BaseOutput, is_torch_available, is_transformers_available
  
  
  
  
  
  @dataclass
  # Copied from diffusers.pipelines.stable_diffusion.__init__.StableDiffusionPipelineOutput with Stable->Alt
  class        lowercase_				( lowerCAmelCase_):
  
  
  
  
  
  
         """simple docstring"""
  
  
  
  
  
  
  
         snake_case_        =		42
         snake_case_        =		42
  
  
  if is_transformers_available() and is_torch_available():
   from .modeling_roberta_series import RobertaSeriesModelWithTransformation
   from .pipeline_alt_diffusion import AltDiffusionPipeline
   from .pipeline_alt_diffusion_imgaimg import AltDiffusionImgaImgPipeline
style_context: 
  
  
  from collections.abc import Callable
  
  A_    :					Any             =Callable[[float], float]  # type alias for a real -> real function
  
  
  
  
  def   lowerCamelCase_       (					UpperCAmelCase__       ,    UpperCAmelCase__       ,    UpperCAmelCase__       ,    ):
  
  
  
  						"""simple docstring"""
  
  
  
  
  						a_					=		float(UpperCAmelCase__      )
  						while True:
  												try:
  																		a_					=		prev_guess - function(UpperCAmelCase__      ) / derivative(UpperCAmelCase__      )
  												except ZeroDivisionError:
  																		raise ZeroDivisionError("""Could not find root"""      ) from None
  												if abs(prev_guess - next_guess      ) < 10**-5:
  																		return next_guess
  												a_					=		next_guess
  
  
  
  
  def   lowerCamelCase_       (					UpperCAmelCase__      ):
  
  
  
  						"""simple docstring"""
  
  
  
  
  						return (x**3) - (2 * x) - 5
  
  
  
  
  def   lowerCamelCase_       (					UpperCAmelCase__      ):
  
  
  
  						"""simple docstring"""
  
  
  
  
  						return 3 * (x**2) - 2
  
  
  if __name__ == "__main__":
  	print(newton(f, fa, 3))