
from __future__ import annotations

from decimal import Decimal

from numpy import array




def 				a						(							snake_case__:					Any					):


				'''simple docstring'''
				lowercase_       =					Decimal

				# Check if the provided matrix has 2 rows and 2 columns
				# since this implementation only works for 2x2 matrices
				if len(_UpperCamelCase					) == 2 and len(matrix[0]					) == 2 and len(matrix[1]					) == 2:
								# Calculate the determinant of the matrix
								lowercase_       =					float(
								    d(matrix[0][0]					) * d(matrix[1][1]					) - d(matrix[1][0]					) * d(matrix[0][1]					)					)
								if determinant == 0:
												raise ValueError('''This matrix has no inverse.'''					)

								# Creates a copy of the matrix with swapped positions of the elements
								lowercase_       =					[[0.0, 0.0], [0.0, 0.0]]
								lowercase_       =					matrix[1][1], matrix[0][0]
								lowercase_       =					-matrix[1][0], -matrix[0][1]

								# Calculate the inverse of the matrix
								return [
								    [(float(d(_UpperCamelCase					)					) / determinant) or 0.0 for n in row] for row in swapped_matrix
								]
				elif (
				    len(_UpperCamelCase					) == 3
				    and len(matrix[0]					) == 3
				    and len(matrix[1]					) == 3
				    and len(matrix[2]					) == 3
				):
								# Calculate the determinant of the matrix using Sarrus rule
								lowercase_       =					float(
								    (
								        (d(matrix[0][0]					) * d(matrix[1][1]					) * d(matrix[2][2]					))
								        + (d(matrix[0][1]					) * d(matrix[1][2]					) * d(matrix[2][0]					))
								        + (d(matrix[0][2]					) * d(matrix[1][0]					) * d(matrix[2][1]					))
								    )
								    - (
								        (d(matrix[0][2]					) * d(matrix[1][1]					) * d(matrix[2][0]					))
								        + (d(matrix[0][1]					) * d(matrix[1][0]					) * d(matrix[2][2]					))
								        + (d(matrix[0][0]					) * d(matrix[1][2]					) * d(matrix[2][1]					))
								    )					)
								if determinant == 0:
												raise ValueError('''This matrix has no inverse.'''					)

								# Creating cofactor matrix
								lowercase_       =					[
								    [d(0.0					), d(0.0					), d(0.0					)],
								    [d(0.0					), d(0.0					), d(0.0					)],
								    [d(0.0					), d(0.0					), d(0.0					)],
								]
								lowercase_       =					(d(matrix[1][1]					) * d(matrix[2][2]					)) - (
								    d(matrix[1][2]					) * d(matrix[2][1]					)
								)
								lowercase_       =					-(
								    (d(matrix[1][0]					) * d(matrix[2][2]					)) - (d(matrix[1][2]					) * d(matrix[2][0]					))
								)
								lowercase_       =					(d(matrix[1][0]					) * d(matrix[2][1]					)) - (
								    d(matrix[1][1]					) * d(matrix[2][0]					)
								)
								lowercase_       =					-(
								    (d(matrix[0][1]					) * d(matrix[2][2]					)) - (d(matrix[0][2]					) * d(matrix[2][1]					))
								)
								lowercase_       =					(d(matrix[0][0]					) * d(matrix[2][2]					)) - (
								    d(matrix[0][2]					) * d(matrix[2][0]					)
								)
								lowercase_       =					-(
								    (d(matrix[0][0]					) * d(matrix[2][1]					)) - (d(matrix[0][1]					) * d(matrix[2][0]					))
								)
								lowercase_       =					(d(matrix[0][1]					) * d(matrix[1][2]					)) - (
								    d(matrix[0][2]					) * d(matrix[1][1]					)
								)
								lowercase_       =					-(
								    (d(matrix[0][0]					) * d(matrix[1][2]					)) - (d(matrix[0][2]					) * d(matrix[1][0]					))
								)
								lowercase_       =					(d(matrix[0][0]					) * d(matrix[1][1]					)) - (
								    d(matrix[0][1]					) * d(matrix[1][0]					)
								)

								# Transpose the cofactor matrix (Adjoint matrix)
								lowercase_       =					array(_UpperCamelCase					)
								for i in range(3					):
												for j in range(3					):
																lowercase_       =					cofactor_matrix[j][i]

        # Inverse of the matrix using the formula (1/determinant) * adjoint matrix
								lowercase_       =					array(_UpperCamelCase					)
								for i in range(3					):
												for j in range(3					):
																inverse_matrix[i][j] /= d(_UpperCamelCase					)

        # Calculate the inverse of the matrix
								return [[float(d(_UpperCamelCase					)					) or 0.0 for n in row] for row in inverse_matrix]
				raise ValueError('''Please provide a matrix of size 2x2 or 3x3.'''					)











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'''):
	lowerCAmelCase_    =				{
	    '''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:
	lowerCAmelCase_    =				{
	    '''linear''': PIL.Image.LINEAR,
	    '''bilinear''': PIL.Image.BILINEAR,
	    '''bicubic''': PIL.Image.BICUBIC,
	    '''lanczos''': PIL.Image.LANCZOS,
	    '''nearest''': PIL.Image.NEAREST,
	}






def      lowerCamelCase_						(				_UpperCamelCase )		->						Optional[int]:






				"""simple docstring"""


				snake_case_						:    Dict				=  (images / 2 + 0.5).clamp(0 ,				1 )
				snake_case_						:    Dict				=  images.cpu().permute(0 ,				2 ,				3 ,				1 ).float().numpy()
				snake_case_						:    int				=  numpy_to_pil(_UpperCamelCase )
				return images






def      lowerCamelCase_						(				_UpperCamelCase )		->						List[Any]:






				"""simple docstring"""


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

				return pil_images
