

import PIL.Image
import PIL.ImageOps
from packaging import version
from PIL import Image


if version.parse(version.parse(PIL.__version__).base_version) >= version.parse('9.1.0'):
					SCREAMING_SNAKE_CASE_        =      {
					    'linear': PIL.Image.Resampling.BILINEAR,
					    'bilinear': PIL.Image.Resampling.BILINEAR,
					    'bicubic': PIL.Image.Resampling.BICUBIC,
					    'lanczos': PIL.Image.Resampling.LANCZOS,
					    'nearest': PIL.Image.Resampling.NEAREST,
					}
else:
					SCREAMING_SNAKE_CASE_        =      {
					    'linear': PIL.Image.LINEAR,
					    'bilinear': PIL.Image.BILINEAR,
					    'bicubic': PIL.Image.BICUBIC,
					    'lanczos': PIL.Image.LANCZOS,
					    'nearest': PIL.Image.NEAREST,
					}

def 							__SCREAMING_SNAKE_CASE							(				lowerCAmelCase:  Dict )   ->       List[str]:
				_UpperCAmelCase       :		List[Any] 		=    (images / 2 + 0.5).clamp(0  ,      1 )
				_UpperCAmelCase       :		Tuple 		=    images.cpu().permute(0  ,      2  ,      3  ,      1 ).float().numpy()
				_UpperCAmelCase       :		Optional[int] 		=    numpy_to_pil(lowerCAmelCase )
				return images





def 							__SCREAMING_SNAKE_CASE							(				lowerCAmelCase:  Union[str, Any] )   ->       Union[str, Any]:
				if images.ndim == 3:
								_UpperCAmelCase       :		List[str] 		=    images[None, ...]
				_UpperCAmelCase       :		Union[str, Any] 		=    (images * 255).round().astype("uint8" )
				if images.shape[-1] == 1:
								# special case for grayscale (single channel) images
								_UpperCAmelCase       :		Optional[Any] 		=    [Image.fromarray(image.squeeze()  ,      mode="L" ) for image in images]
				else:
								_UpperCAmelCase       :		Union[str, Any] 		=    [Image.fromarray(lowerCAmelCase ) for image in images]

				return pil_images





from __future__ import annotations

from collections.abc import Callable

def 							__SCREAMING_SNAKE_CASE							(				lowerCAmelCase:  Callable[[int | float], int | float]  ,      lowerCAmelCase:  int | float  ,      lowerCAmelCase:  int | float  ,      lowerCAmelCase:  int = 100  ,      )   ->       float:
				_UpperCAmelCase       :		str 		=    x_start
				_UpperCAmelCase       :		Union[str, Any] 		=    fnc(lowerCAmelCase )
				_UpperCAmelCase       :		Tuple 		=    0.0
				for _ in range(lowerCAmelCase ):
								# Approximates small segments of curve as linear and solve
								# for trapezoidal area
								_UpperCAmelCase       :		Union[str, Any] 		=    (x_end - x_start) / steps + xa
								_UpperCAmelCase       :		Optional[Any] 		=    fnc(lowerCAmelCase )
								area += abs(fxa + fxa ) * (xa - xa) / 2
								# Increment step
								_UpperCAmelCase       :		Any 		=    xa
								_UpperCAmelCase       :		Optional[Any] 		=    fxa
				return area


if __name__ == "__main__":

					def 							__SCREAMING_SNAKE_CASE							(				lowerCAmelCase:  List[str] )   ->       List[Any]:
									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:')
					SCREAMING_SNAKE_CASE_        =      10
					while i <= 100000:
										print(F'''with {i} steps: {trapezoidal_area(f, -5, 5, i)}''')
										i *= 10


