


"""simple docstring"""



from __future__ import annotations

from collections.abc import Callable







def   __lowerCAmelCase						(						lowercase  :  Callable[[int | float], int | float]						,							lowercase  :  int | float						,							lowercase  :  int | float						,							lowercase  :  int = 100						,							)	->						int:


    """simple docstring"""





    snake_case    :      Optional[int]      					=    x_start
    snake_case    :      Optional[int]      					=    fnc(SCREAMING_SNAKE_CASE_ )
    snake_case    :      Dict      					=    0.0
    for _ in range(SCREAMING_SNAKE_CASE_ ):
        # Approximates small segments of curve as linear and solve
        # for trapezoidal area
        snake_case    :      List[str]      					=    (x_end - x_start) / steps + xa
        snake_case    :      Union[str, Any]      					=    fnc(SCREAMING_SNAKE_CASE_ )
        area += abs(fxa + fxa ) * (xa - xa) / 2
        # Increment step
        snake_case    :      int      					=    xa
        snake_case    :      str      					=    fxa
    return area


if __name__ == "__main__":







  def   __lowerCAmelCase						(						lowercase  :  Tuple )	->						Optional[int]:


      """simple docstring"""





      return x**3 + x**2

  print("""f(x) = x^3 + x^2""")
  print("""The area between the curve, x = -5, x = 5 and the x axis is:""")
  __snake_case   			=    10
  while i <= 100000:
    print(F'''with {i} steps: {trapezoidal_area(f, -5, 5, i)}''')
    i *= 10











import warnings

from diffusers import StableDiffusionImgaImgPipeline  # noqa F401


warnings.warn(
    """The `image_to_image.py` script is outdated. Please use directly `from diffusers import"""
    """ StableDiffusionImg2ImgPipeline` instead."""
)




