





'''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   :				int					)  ->				str:


  '''simple docstring'''




  __lowerCAmelCase		:    Any			     =  np.array([[-1, 0, 1], [-2, 0, 2], [-1, 0, 1]]					)
  __lowerCAmelCase		:    Any			     =  np.array([[1, 2, 1], [0, 0, 0], [-1, -2, -1]]					)

  __lowerCAmelCase		:    List[Any]			     =  np.abs(img_convolve(UpperCamelCase_						,UpperCamelCase_					)					)
  __lowerCAmelCase		:    str			     =  np.abs(img_convolve(UpperCamelCase_						,UpperCamelCase_					)					)
  # modify the pix within [0, 255]
  __lowerCAmelCase		:    Tuple			     =  dst_x * 2_5_5 / np.max(UpperCamelCase_					)
  __lowerCAmelCase		:    Dict			     =  dst_y * 2_5_5 / np.max(UpperCamelCase_					)

  __lowerCAmelCase		:    Dict			     =  np.sqrt((np.square(UpperCamelCase_					)) + (np.square(UpperCamelCase_					))					)
  __lowerCAmelCase		:    List[Any]			     =  dst_xy * 2_5_5 / np.max(UpperCamelCase_					)
  __lowerCAmelCase		:    Optional[Any]			     =  dst_xy.astype(np.uinta					)

  __lowerCAmelCase		:    Optional[Any]			     =  np.arctana(UpperCamelCase_						,UpperCamelCase_					)
  return dst, theta


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

    A_     ,  A_				     =							sobel_filter(gray)

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








"""simple docstring"""





import math
from decimal import Decimal, getcontext




def     _A    (    UpperCamelCase_	:			int = 4000000)      ->		int:
   '''simple docstring'''


   try:
      __lowercase								=		int(UpperCamelCase_)
   except (TypeError, ValueError):
      raise TypeError("Parameter n must be int or castable to int.")
   if n <= 0:
      raise ValueError("Parameter n must be greater than or equal to one.")
   __lowercase								=		100
   __lowercase								=		(Decimal(5) ** Decimal(0.5) + 1) / Decimal(2)

   __lowercase								=		(math.floor(math.log(n * (phi + 2),     UpperCamelCase_) - 1) // 3) * 3 + 2
   __lowercase								=		Decimal(round(phi ** Decimal(index + 1))) / (phi + 2)
   __lowercase								=		num // 2
   return int(UpperCamelCase_)


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




