





"""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    A__							(     UpperCamelCase			):
							A						=    np.array([[-1, 0, 1], [-2, 0, 2], [-1, 0, 1]]			)
							A						=    np.array([[1, 2, 1], [0, 0, 0], [-1, -2, -1]]			)

							A						=    np.abs(img_convolve(_A   ,    _A			)			)
							A						=    np.abs(img_convolve(_A   ,    _A			)			)
							# modify the pix within [0, 255]
							A						=    dst_x * 255 / np.max(_A			)
							A						=    dst_y * 255 / np.max(_A			)

							A						=    np.sqrt((np.square(_A			)) + (np.square(_A			))			)
							A						=    dst_xy * 255 / np.max(_A			)
							A						=    dst_xy.astype(np.uinta			)

							A						=    np.arctana(_A   ,    _A			)
							return dst, theta


if __name__ == "__main__":
		# read original image
		_snake_case	:						Union[str, Any]					=					imread('../image_data/lena.jpg')
		# turn image in gray scale value
		_snake_case	:						Tuple					=					cvtColor(img, COLOR_BGR2GRAY)

		_snake_case		,		_snake_case	:						Union[str, Any]					=					sobel_filter(gray)

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





def      UpperCAmelCase__							(     _A :					int      , _A :					int				):





  '''simple docstring'''







  a__    =1.0
  for i in range(1      , r + 1				):
    ret *= (n + 1 - i) / i
  return round(_A				)




def      UpperCAmelCase__							(     _A :					int				):





  '''simple docstring'''







  return choose(8 + n      , _A				) + choose(9 + n      , _A				) - 10




def      UpperCAmelCase__							(     _A :					int				):





  '''simple docstring'''







  return sum(non_bouncy_exact(_A				) for i in range(1      , n + 1				)				)




def      UpperCAmelCase__							(     _A :					int = 1_00				):





  '''simple docstring'''







  return non_bouncy_upto(_A				)


if __name__ == "__main__":
       print(f"""{solution() = }""")
