





import cva
import numpy as np

from digital_image_processing.filters.convolve import img_convolve
from digital_image_processing.filters.sobel_filter import sobel_filter

_UpperCamelCase   :							str     =	1_8_0
def 				__UpperCamelCase  (		snake_case    ,	snake_case     )  ->						Tuple:


   '''simple docstring'''







   __A				 =       k_size // 2
   __A ,						__A				 =       np.mgrid[0 - center : k_size - center, 0 - center : k_size - center]
   __A				 =       (
       1
       / (2 * np.pi * sigma)
       * np.exp(-(np.square(snake_case__     ) + np.square(snake_case__     )) / (2 * np.square(snake_case__     ))     )
   )
   return g
def 				__UpperCamelCase  (		snake_case    ,	snake_case    ,	snake_case     )  ->						Optional[int]:


   '''simple docstring'''







   __A				 =       np.zeros(snake_case__     )

   for row in range(1    ,	image_shape[0] - 1     ):
      for col in range(1    ,	image_shape[1] - 1     ):
         __A				 =       gradient_direction[row, col]

         if (
             0 <= direction < PI / 8
             or 1_5 * PI / 8 <= direction <= 2 * PI
             or 7 * PI / 8 <= direction <= 9 * PI / 8
         ):
            __A				 =       sobel_grad[row, col - 1]
            __A				 =       sobel_grad[row, col + 1]
            if sobel_grad[row, col] >= w and sobel_grad[row, col] >= e:
               __A				 =       sobel_grad[row, col]

         elif (
             PI / 8 <= direction < 3 * PI / 8
             or 9 * PI / 8 <= direction < 1_1 * PI / 8
         ):
            __A				 =       sobel_grad[row + 1, col - 1]
            __A				 =       sobel_grad[row - 1, col + 1]
            if sobel_grad[row, col] >= sw and sobel_grad[row, col] >= ne:
               __A				 =       sobel_grad[row, col]

         elif (
             3 * PI / 8 <= direction < 5 * PI / 8
             or 1_1 * PI / 8 <= direction < 1_3 * PI / 8
         ):
            __A				 =       sobel_grad[row - 1, col]
            __A				 =       sobel_grad[row + 1, col]
            if sobel_grad[row, col] >= n and sobel_grad[row, col] >= s:
               __A				 =       sobel_grad[row, col]

         elif (
             5 * PI / 8 <= direction < 7 * PI / 8
             or 1_3 * PI / 8 <= direction < 1_5 * PI / 8
         ):
            __A				 =       sobel_grad[row - 1, col - 1]
            __A				 =       sobel_grad[row + 1, col + 1]
            if sobel_grad[row, col] >= nw and sobel_grad[row, col] >= se:
               __A				 =       sobel_grad[row, col]

   return destination
def 				__UpperCamelCase  (		snake_case    ,	snake_case    ,	snake_case    ,	snake_case    ,	snake_case    ,	snake_case     )  ->						List[Any]:


   '''simple docstring'''







   for row in range(1    ,	image_shape[0] - 1     ):
      for col in range(1    ,	image_shape[1] - 1     ):
         if destination[row, col] >= threshold_high:
            __A				 =       strong
         elif destination[row, col] <= threshold_low:
            __A				 =       0
         else:
            __A				 =       weak
def 				__UpperCamelCase  (		snake_case    ,	snake_case    ,	snake_case    ,	snake_case     )  ->						List[Any]:


   '''simple docstring'''







   for row in range(1    ,	image_shape[0]     ):
      for col in range(1    ,	image_shape[1]     ):
         if destination[row, col] == weak:
            if 2_5_5 in (
                destination[row, col + 1],
                destination[row, col - 1],
                destination[row - 1, col],
                destination[row + 1, col],
                destination[row - 1, col - 1],
                destination[row + 1, col - 1],
                destination[row - 1, col + 1],
                destination[row + 1, col + 1],
            ):
               __A				 =       strong
            else:
               __A				 =       0
def 				__UpperCamelCase  (		snake_case    ,	snake_case=1_5    ,	snake_case=3_0    ,	snake_case=1_2_8    ,	snake_case=2_5_5     )  ->						Union[str, Any]:


   '''simple docstring'''







   __A				 =       img_convolve(snake_case__    ,	gen_gaussian_kernel(9    ,	sigma=1.4     )     )
   # get the gradient and degree by sobel_filter
   __A ,						__A				 =       sobel_filter(snake_case__     )
   __A				 =       PI + np.radadeg(snake_case__     )

   __A				 =       suppress_non_maximum(image.shape    ,	snake_case__    ,	snake_case__     )

   detect_high_low_threshold(
       image.shape    ,	snake_case__    ,	snake_case__    ,	snake_case__    ,	snake_case__    ,	snake_case__     )

   track_edge(image.shape    ,	snake_case__    ,	snake_case__    ,	snake_case__     )

   return destination


if __name__ == "__main__":
    # read original image in gray mode
    _UpperCamelCase   :							Optional[int]     =	cva.imread(r"""../image_data/lena.jpg""", 0)
    # canny edge detection
    _UpperCamelCase   :							Optional[int]     =	canny(lena)
    cva.imshow("""canny""", canny_destination)
    cva.waitKey(0)








from __future__ import annotations

import sys
def 				__UpperCamelCase  (		snake_case    ,	snake_case     )  ->						tuple[int, int]:


   '''simple docstring'''







   if abs(snake_case     ) == 1:
      return a, 0
   elif abs(snake_case     ) == 1:
      return 0, b

   __A ,						__A				 =       a, b
   __A ,						__A				 =       1, 0
   __A ,						__A				 =       0, 1

   while remainder != 0:
      __A				 =       old_remainder // remainder
      __A ,						__A				 =       remainder, old_remainder - quotient * remainder
      __A ,						__A				 =       coeff_a, old_coeff_a - quotient * coeff_a
      __A ,						__A				 =       coeff_b, old_coeff_b - quotient * coeff_b

   # sign correction for negative numbers
   if a < 0:
      __A				 =       -old_coeff_a
   if b < 0:
      __A				 =       -old_coeff_b

   return old_coeff_a, old_coeff_b
def 				__UpperCamelCase  (		)  ->						Tuple:


   '''simple docstring'''







   if len(sys.argv     ) < 3:
      print('''2 integer arguments required'''     )
      return 1
   __A				 =       int(sys.argv[1]     )
   __A				 =       int(sys.argv[2]     )
   print(extended_euclidean_algorithm(snake_case    ,	snake_case     )     )
   return 0


if __name__ == "__main__":
    raise SystemExit(main())

