






'''simple docstring'''







import numpy as np
from cva import COLOR_BGR2GRAY, cvtColor, imread, imshow, waitKey

from digital_image_processing.filters.convolve import img_convolve






def  lowerCAmelCase__		(					a_  :     Union[str, Any]			)   -> Dict:
       UpperCAmelCase__	:   Union[str, Any]												=	np.array([[-1, 0, 1], [-2, 0, 2], [-1, 0, 1]]			)
       UpperCAmelCase__	:   Optional[Any]												=	np.array([[1, 2, 1], [0, 0, 0], [-1, -2, -1]]			)

       UpperCAmelCase__	:   Dict												=	np.abs(img_convolve(a_			,						a_			)			)
       UpperCAmelCase__	:   Optional[Any]												=	np.abs(img_convolve(a_			,						a_			)			)
       # modify the pix within [0, 255]
       UpperCAmelCase__	:   Optional[int]												=	dst_x * 2_5_5 / np.max(a_			)
       UpperCAmelCase__	:   str												=	dst_y * 2_5_5 / np.max(a_			)

       UpperCAmelCase__	:   List[str]												=	np.sqrt((np.square(a_			)) + (np.square(a_			))			)
       UpperCAmelCase__	:   List[Any]												=	dst_xy * 2_5_5 / np.max(a_			)
       UpperCAmelCase__	:   Union[str, Any]												=	dst_xy.astype(np.uinta			)

       UpperCAmelCase__	:   str												=	np.arctana(a_			,						a_			)
       return dst, theta


if __name__ == "__main__":
  # read original image
  UpperCamelCase_					=				imread("../image_data/lena.jpg")
  # turn image in gray scale value
  UpperCamelCase_					=				cvtColor(img, COLOR_BGR2GRAY)

  UpperCamelCase_					=				sobel_filter(gray)

  # show result images
  imshow("sobel filter", sobel_grad)
  imshow("sobel theta", sobel_theta)
  waitKey(0)






from __future__ import annotations

from collections.abc import Generator







def  A					(				UpperCAmelCase					):
					if not isinstance(UpperCAmelCase	,	UpperCAmelCase					) or n < 1:
										raise Exception("Sequence only defined for positive integers"					)

					yield n
					while n != 1:
										if n % 2 == 0:
															n //= 2
										else:
															_snake_case							:       Any												= 3 * n + 1
										yield n







def  A					(				):
					_snake_case							:       Dict												= 43
					_snake_case							:       List[str]												= tuple(collatz_sequence(UpperCAmelCase					)					)
					print(UpperCAmelCase					)
					print(F"""Collatz sequence from {n} took {len(UpperCAmelCase					)} steps."""					)


if __name__ == "__main__":
							main()