



from heapq import heappop, heappush

import numpy as np






def      _A				(UpperCamelCase		:      np.ndarray      ,			UpperCamelCase		:      tuple[int, int]      ,			UpperCamelCase		:      tuple[int, int]      ,			UpperCamelCase		:      bool      ,			)  ->tuple[float | int, list[tuple[int, int]]]:



			'''simple docstring'''







			lowerCamelCase__ :      List[Any]								=		grid.shape
			lowerCamelCase__ :      List[str]								=		[-1, 1, 0, 0]
			lowerCamelCase__ :      Dict								=		[0, 0, -1, 1]
			if allow_diagonal:
						dx += [-1, -1, 1, 1]
						dy += [-1, 1, -1, 1]

			lowerCamelCase__ :      str								=		[(0, source)], set()
			lowerCamelCase__ :      Union[str, Any]								=		np.full((rows, cols)      ,			np.inf )
			lowerCamelCase__ :      str								=		0
			lowerCamelCase__ :      Optional[int]								=		np.empty((rows, cols)      ,			dtype=UpperCamelCase )
			lowerCamelCase__ :      Tuple								=		None

			while queue:
						(lowerCamelCase__) :      str								=		heappop(UpperCamelCase )
						if (x, y) in visited:
									continue
						visited.add((x, y) )

						if (x, y) == destination:
									lowerCamelCase__ :      Dict								=		[]
									while (x, y) != source:
												path.append((x, y) )
												lowerCamelCase__ :      Any								=		predecessors[x, y]
									path.append(UpperCamelCase )  # add the source manually
									path.reverse()
									return matrix[destination], path

						for i in range(len(UpperCamelCase ) ):
									lowerCamelCase__ :      Tuple								=		x + dx[i], y + dy[i]
									if 0 <= nx < rows and 0 <= ny < cols:
												lowerCamelCase__ :      str								=		grid[nx][ny]
												if next_node == 1 and matrix[nx, ny] > dist + 1:
															heappush(UpperCamelCase      ,			(dist + 1, (nx, ny)) )
															lowerCamelCase__ :      List[Any]								=		dist + 1
															lowerCamelCase__ :      Dict								=		(x, y)

			return np.inf, []


if __name__ == "__main__":
				import doctest

				doctest.testmod()




from pathlib import Path

import cva
import numpy as np
from matplotlib import pyplot as plt






def      _A				(UpperCamelCase		:      np.ndarray      ,			UpperCamelCase		:      np.ndarray      ,			UpperCamelCase		:      np.ndarray      ,			UpperCamelCase		:      int      ,			UpperCamelCase		:      int )  ->np.ndarray:



			'''simple docstring'''







			lowerCamelCase__ :      Union[str, Any]								=		cva.getAffineTransform(UpperCamelCase      ,			UpperCamelCase )
			return cva.warpAffine(UpperCamelCase      ,			UpperCamelCase      ,			(rows, cols) )


if __name__ == "__main__":
				# read original image
				_lowercase     							=						cva.imread(
				    str(Path(__file__).resolve().parent.parent / '''image_data''' / '''lena.jpg''')
				)
				# turn image in gray scale value
				_lowercase     							=						cva.cvtColor(image, cva.COLOR_BGR2GRAY)
				# get image shape
				_lowercase							,				_lowercase     							=						gray_img.shape

				# set different points to rotate image
				_lowercase     							=						np.array([[50, 50], [2_00, 50], [50, 2_00]], np.floataa)
				_lowercase     							=						np.array([[10, 1_00], [2_00, 50], [1_00, 2_50]], np.floataa)
				_lowercase     							=						np.array([[50, 50], [1_50, 50], [1_20, 2_00]], np.floataa)
				_lowercase     							=						np.array([[10, 1_00], [80, 50], [1_80, 2_50]], np.floataa)

				# add all rotated images in a list
				_lowercase     							=						[
				    gray_img,
				    get_rotation(gray_img, ptsa, ptsa, img_rows, img_cols),
				    get_rotation(gray_img, ptsa, ptsa, img_rows, img_cols),
				    get_rotation(gray_img, ptsa, ptsa, img_rows, img_cols),
				]

				# plot different image rotations
				_lowercase     							=						plt.figure(1)
				_lowercase     							=						['''Original''', '''Rotation 1''', '''Rotation 2''', '''Rotation 3''']
				for i, image in enumerate(images):
								plt.subplot(2, 2, i + 1), plt.imshow(image, '''gray''')
								plt.title(titles[i])
								plt.axis('''off''')
								plt.subplots_adjust(left=0.0, bottom=0.05, right=1.0, top=0.95)
				plt.show()



