code: 
  
  
  
  
  
  '''simple docstring'''
  
  
  
  
  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
  
  a__				: Tuple									=    180
  
  
  
  
  def 	__lowerCamelCase (  UpperCAmelCase_				,							UpperCAmelCase_       )      ->Union[str, Any]:
  	snake_case__  					=      k_size // 2
  	snake_case__					,     snake_case__  					=      np.mgrid[0 - center : k_size - center, 0 - center : k_size - center]
  	snake_case__  					=      (
  	    1
  	    / (2 * np.pi * sigma)
  	    * np.exp(-(np.square(UpperCAmelCase_       ) + np.square(UpperCAmelCase_       )) / (2 * np.square(UpperCAmelCase_       ))       )
  	)
  	return g
  
  
  
  
  def 	__lowerCamelCase (  UpperCAmelCase_				,							UpperCAmelCase_				,							UpperCAmelCase_       )      ->Dict:
  	snake_case__  					=      np.zeros(UpperCAmelCase_       )
  
  	for row in range(1				,							image_shape[0] - 1       ):
  		for col in range(1				,							image_shape[1] - 1       ):
  			snake_case__  					=      gradient_direction[row, col]
  
  			if (
  			    0 <= direction < PI / 8
  			    or 15 * PI / 8 <= direction <= 2 * PI
  			    or 7 * PI / 8 <= direction <= 9 * PI / 8
  			):
  				snake_case__  					=      sobel_grad[row, col - 1]
  				snake_case__  					=      sobel_grad[row, col + 1]
  				if sobel_grad[row, col] >= w and sobel_grad[row, col] >= e:
  					snake_case__  					=      sobel_grad[row, col]
  
  			elif (
  			    PI / 8 <= direction < 3 * PI / 8
  			    or 9 * PI / 8 <= direction < 11 * PI / 8
  			):
  				snake_case__  					=      sobel_grad[row + 1, col - 1]
  				snake_case__  					=      sobel_grad[row - 1, col + 1]
  				if sobel_grad[row, col] >= sw and sobel_grad[row, col] >= ne:
  					snake_case__  					=      sobel_grad[row, col]
  
  			elif (
  			    3 * PI / 8 <= direction < 5 * PI / 8
  			    or 11 * PI / 8 <= direction < 13 * PI / 8
  			):
  				snake_case__  					=      sobel_grad[row - 1, col]
  				snake_case__  					=      sobel_grad[row + 1, col]
  				if sobel_grad[row, col] >= n and sobel_grad[row, col] >= s:
  					snake_case__  					=      sobel_grad[row, col]
  
  			elif (
  			    5 * PI / 8 <= direction < 7 * PI / 8
  			    or 13 * PI / 8 <= direction < 15 * PI / 8
  			):
  				snake_case__  					=      sobel_grad[row - 1, col - 1]
  				snake_case__  					=      sobel_grad[row + 1, col + 1]
  				if sobel_grad[row, col] >= nw and sobel_grad[row, col] >= se:
  					snake_case__  					=      sobel_grad[row, col]
  
  	return destination
  
  
  
  
  def 	__lowerCamelCase (  UpperCAmelCase_				,							UpperCAmelCase_				,							UpperCAmelCase_				,							UpperCAmelCase_				,							UpperCAmelCase_				,							UpperCAmelCase_       )      ->Dict:
  	for row in range(1				,							image_shape[0] - 1       ):
  		for col in range(1				,							image_shape[1] - 1       ):
  			if destination[row, col] >= threshold_high:
  				snake_case__  					=      strong
  			elif destination[row, col] <= threshold_low:
  				snake_case__  					=      0
  			else:
  				snake_case__  					=      weak
  
  
  
  
  def 	__lowerCamelCase (  UpperCAmelCase_				,							UpperCAmelCase_				,							UpperCAmelCase_				,							UpperCAmelCase_       )      ->int:
  	for row in range(1				,							image_shape[0]       ):
  		for col in range(1				,							image_shape[1]       ):
  			if destination[row, col] == weak:
  				if 2_55 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],
  				):
  					snake_case__  					=      strong
  				else:
  					snake_case__  					=      0
  
  
  
  
  def 	__lowerCamelCase (  UpperCAmelCase_				,							UpperCAmelCase_=15				,							UpperCAmelCase_=30				,							UpperCAmelCase_=1_28				,							UpperCAmelCase_=2_55       )      ->Optional[int]:
  	# gaussian_filter
  	snake_case__  					=      img_convolve(UpperCAmelCase_				,							gen_gaussian_kernel(9				,							sigma=1.4       )       )
  	# get the gradient and degree by sobel_filter
  	snake_case__					,     snake_case__  					=      sobel_filter(UpperCAmelCase_       )
  	snake_case__  					=      PI + np.radadeg(UpperCAmelCase_       )
  
  	snake_case__  					=      suppress_non_maximum(image.shape				,							UpperCAmelCase_				,							UpperCAmelCase_       )
  
  	detect_high_low_threshold(
  	    image.shape				,							UpperCAmelCase_				,							UpperCAmelCase_				,							UpperCAmelCase_				,							UpperCAmelCase_				,							UpperCAmelCase_       )
  
  	track_edge(image.shape				,							UpperCAmelCase_				,							UpperCAmelCase_				,							UpperCAmelCase_       )
  
  	return destination
  
  
  if __name__ == "__main__":
  			# read original image in gray mode
  			a__				: Dict									=    cva.imread(r'''../image_data/lena.jpg''', 0)
  			# canny edge detection
  			a__				: List[Any]									=    canny(lena)
  			cva.imshow('''canny''', canny_destination)
  			cva.waitKey(0)
  
  
  
  
style_context: 
  
  
  
  
  
  '''simple docstring'''
  
  
  
  
  def 	__lowerCamelCase (  UpperCAmelCase_       )      ->str:
  	snake_case__  					=      len(UpperCAmelCase_       )
  	for i in range(length - 1       ):
  		snake_case__  					=      False
  		for j in range(length - 1 - i       ):
  			if collection[j] > collection[j + 1]:
  				snake_case__  					=      True
  				snake_case__					,     snake_case__  					=      collection[j + 1], collection[j]
  		if not swapped:
  			break  # Stop iteration if the collection is sorted.
  	return collection
  
  
  if __name__ == "__main__":
  			import doctest
  			import time
  
  			doctest.testmod()
  
  			a__				: Dict									=    input('''Enter numbers separated by a comma:''').strip()
  			a__				: Dict									=    [int(item) for item in user_input.split(''',''')]
  			a__				: Tuple									=    time.process_time()
  			print(*bubble_sort(unsorted), sep=''',''')
  			print(f"""Processing time: {(time.process_time() - start)%1e9 + 7}""")
  
  
  
  