





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

from digital_image_processing.filters.convolve import img_convolve
def 				__UpperCamelCase  (		snake_case     )  ->						Tuple:


   '''simple docstring'''







   __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(snake_case    ,	snake_case     )     )
   __A				 =       np.abs(img_convolve(snake_case    ,	snake_case     )     )
   # modify the pix within [0, 255]
   __A				 =       dst_x * 2_5_5 / np.max(snake_case     )
   __A				 =       dst_y * 2_5_5 / np.max(snake_case     )

   __A				 =       np.sqrt((np.square(snake_case     )) + (np.square(snake_case     ))     )
   __A				 =       dst_xy * 2_5_5 / np.max(snake_case     )
   __A				 =       dst_xy.astype(np.uinta     )

   __A				 =       np.arctana(snake_case    ,	snake_case     )
   return dst, theta


if __name__ == "__main__":
    # read original image
    _UpperCamelCase   :							List[str]     =	imread("""../image_data/lena.jpg""")
    # turn image in gray scale value
    _UpperCamelCase   :							Dict     =	cvtColor(img, COLOR_BGR2GRAY)

    _UpperCamelCase   ,  _UpperCamelCase   :							List[str]     =	sobel_filter(gray)

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








from __future__ import annotations
def 				__UpperCamelCase  (		snake_case    ,	snake_case     )  ->						list:


   '''simple docstring'''







   __A				 =       [None] * (len(snake_case     ) + len(snake_case     ))

   __A				 =       0  # pointer to current index for left Half
   __A				 =       0  # pointer to current index for the right Half
   __A				 =       0  # pointer to current index for the sorted array Half

   while pointera < len(snake_case     ) and pointera < len(snake_case     ):
      if left_half[pointera] < right_half[pointera]:
         __A				 =       left_half[pointera]
         pointera += 1
         index += 1
      else:
         __A				 =       right_half[pointera]
         pointera += 1
         index += 1
   while pointera < len(snake_case     ):
      __A				 =       left_half[pointera]
      pointera += 1
      index += 1

   while pointera < len(snake_case     ):
      __A				 =       right_half[pointera]
      pointera += 1
      index += 1

   return sorted_array
def 				__UpperCamelCase  (		snake_case     )  ->						list:


   '''simple docstring'''







   if len(snake_case     ) <= 1:
      return array
   # the actual formula to calculate the middle element = left + (right - left) // 2
   # this avoids integer overflow in case of large N
   __A				 =       0 + (len(snake_case     ) - 0) // 2

   # Split the array into halves till the array length becomes equal to One
   # merge the arrays of single length returned by mergeSort function and
   # pass them into the merge arrays function which merges the array
   __A				 =       array[:middle]
   __A				 =       array[middle:]

   return merge(merge_sort(snake_case     )    ,	merge_sort(snake_case     )     )


if __name__ == "__main__":
    import doctest

    doctest.testmod()

