




from __future__ import annotations

from decimal import Decimal

from numpy import array







def 	_a      (						SCREAMING_SNAKE_CASE_							:				list[list[float]]     ):
					__lowerCAmelCase				   =       Decimal

					# Check if the provided matrix has 2 rows and 2 columns
					# since this implementation only works for 2x2 matrices
					if len(SCREAMING_SNAKE_CASE_     ) == 2 and len(matrix[0]     ) == 2 and len(matrix[1]     ) == 2:
										# Calculate the determinant of the matrix
										__lowerCAmelCase				   =       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
										__lowerCAmelCase				   =       [[0.0, 0.0], [0.0, 0.0]]
										__lowerCAmelCase   ,							__lowerCAmelCase				   =       matrix[1][1], matrix[0][0]
										__lowerCAmelCase   ,							__lowerCAmelCase				   =       -matrix[1][0], -matrix[0][1]

										# Calculate the inverse of the matrix
										return [
										    [(float(d(SCREAMING_SNAKE_CASE_     )     ) / determinant) or 0.0 for n in row] for row in swapped_matrix
										]
					elif (
					    len(SCREAMING_SNAKE_CASE_     ) == 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
										__lowerCAmelCase				   =       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
										__lowerCAmelCase				   =       [
										    [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     )],
										]
										__lowerCAmelCase				   =       (d(matrix[1][1]     ) * d(matrix[2][2]     )) - (
										    d(matrix[1][2]     ) * d(matrix[2][1]     )
										)
										__lowerCAmelCase				   =       -(
										    (d(matrix[1][0]     ) * d(matrix[2][2]     )) - (d(matrix[1][2]     ) * d(matrix[2][0]     ))
										)
										__lowerCAmelCase				   =       (d(matrix[1][0]     ) * d(matrix[2][1]     )) - (
										    d(matrix[1][1]     ) * d(matrix[2][0]     )
										)
										__lowerCAmelCase				   =       -(
										    (d(matrix[0][1]     ) * d(matrix[2][2]     )) - (d(matrix[0][2]     ) * d(matrix[2][1]     ))
										)
										__lowerCAmelCase				   =       (d(matrix[0][0]     ) * d(matrix[2][2]     )) - (
										    d(matrix[0][2]     ) * d(matrix[2][0]     )
										)
										__lowerCAmelCase				   =       -(
										    (d(matrix[0][0]     ) * d(matrix[2][1]     )) - (d(matrix[0][1]     ) * d(matrix[2][0]     ))
										)
										__lowerCAmelCase				   =       (d(matrix[0][1]     ) * d(matrix[1][2]     )) - (
										    d(matrix[0][2]     ) * d(matrix[1][1]     )
										)
										__lowerCAmelCase				   =       -(
										    (d(matrix[0][0]     ) * d(matrix[1][2]     )) - (d(matrix[0][2]     ) * d(matrix[1][0]     ))
										)
										__lowerCAmelCase				   =       (d(matrix[0][0]     ) * d(matrix[1][1]     )) - (
										    d(matrix[0][1]     ) * d(matrix[1][0]     )
										)

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

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

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










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."""
)




