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      :				List[str]											=					1_8_0
  
  
  
  
  
  def      _lowerCAmelCase		(		lowercase      ,			lowercase			)      ->      List[str]:
  			__lowerCAmelCase      		=       k_size // 2
  			__lowerCAmelCase		, __lowerCAmelCase      		=       np.mgrid[0 - center : k_size - center, 0 - center : k_size - center]
  			__lowerCAmelCase      		=       (
  			    1
  			    / (2 * np.pi * sigma)
  			    * np.exp(-(np.square(lowercase			) + np.square(lowercase			)) / (2 * np.square(lowercase			))			)
  			)
  			return g
  
  
  
  
  
  def      _lowerCAmelCase		(		lowercase      ,			lowercase      ,			lowercase			)      ->      Tuple:
  			__lowerCAmelCase      		=       np.zeros(lowercase			)
  
  			for row in range(1      ,			image_shape[0] - 1			):
  						for col in range(1      ,			image_shape[1] - 1			):
  									__lowerCAmelCase      		=       gradient_direction[row, col]
  
  									if (
  									    0 <= direction < PI / 8
  									    or 15 * PI / 8 <= direction <= 2 * PI
  									    or 7 * PI / 8 <= direction <= 9 * PI / 8
  									):
  												__lowerCAmelCase      		=       sobel_grad[row, col - 1]
  												__lowerCAmelCase      		=       sobel_grad[row, col + 1]
  												if sobel_grad[row, col] >= w and sobel_grad[row, col] >= e:
  															__lowerCAmelCase      		=       sobel_grad[row, col]
  
  									elif (
  									    PI / 8 <= direction < 3 * PI / 8
  									    or 9 * PI / 8 <= direction < 11 * PI / 8
  									):
  												__lowerCAmelCase      		=       sobel_grad[row + 1, col - 1]
  												__lowerCAmelCase      		=       sobel_grad[row - 1, col + 1]
  												if sobel_grad[row, col] >= sw and sobel_grad[row, col] >= ne:
  															__lowerCAmelCase      		=       sobel_grad[row, col]
  
  									elif (
  									    3 * PI / 8 <= direction < 5 * PI / 8
  									    or 11 * PI / 8 <= direction < 13 * PI / 8
  									):
  												__lowerCAmelCase      		=       sobel_grad[row - 1, col]
  												__lowerCAmelCase      		=       sobel_grad[row + 1, col]
  												if sobel_grad[row, col] >= n and sobel_grad[row, col] >= s:
  															__lowerCAmelCase      		=       sobel_grad[row, col]
  
  									elif (
  									    5 * PI / 8 <= direction < 7 * PI / 8
  									    or 13 * PI / 8 <= direction < 15 * PI / 8
  									):
  												__lowerCAmelCase      		=       sobel_grad[row - 1, col - 1]
  												__lowerCAmelCase      		=       sobel_grad[row + 1, col + 1]
  												if sobel_grad[row, col] >= nw and sobel_grad[row, col] >= se:
  															__lowerCAmelCase      		=       sobel_grad[row, col]
  
  			return destination
  
  
  
  
  
  def      _lowerCAmelCase		(		lowercase      ,			lowercase      ,			lowercase      ,			lowercase      ,			lowercase      ,			lowercase			)      ->      Tuple:
  			for row in range(1      ,			image_shape[0] - 1			):
  						for col in range(1      ,			image_shape[1] - 1			):
  									if destination[row, col] >= threshold_high:
  												__lowerCAmelCase      		=       strong
  									elif destination[row, col] <= threshold_low:
  												__lowerCAmelCase      		=       0
  									else:
  												__lowerCAmelCase      		=       weak
  
  
  
  
  
  def      _lowerCAmelCase		(		lowercase      ,			lowercase      ,			lowercase      ,			lowercase			)      ->      Dict:
  			for row in range(1      ,			image_shape[0]			):
  						for col in range(1      ,			image_shape[1]			):
  									if destination[row, col] == weak:
  												if 255 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],
  												):
  															__lowerCAmelCase      		=       strong
  												else:
  															__lowerCAmelCase      		=       0
  
  
  
  
  
  def      _lowerCAmelCase		(		lowercase      ,			lowercase=15      ,			lowercase=30      ,			lowercase=128      ,			lowercase=255			)      ->      Optional[int]:
  			# gaussian_filter
  			__lowerCAmelCase      		=       img_convolve(lowercase      ,			gen_gaussian_kernel(9      ,			sigma=1.4			)			)
  			# get the gradient and degree by sobel_filter
  			__lowerCAmelCase		, __lowerCAmelCase      		=       sobel_filter(lowercase			)
  			__lowerCAmelCase      		=       PI + np.radadeg(lowercase			)
  
  			__lowerCAmelCase      		=       suppress_non_maximum(image.shape      ,			lowercase      ,			lowercase			)
  
  			detect_high_low_threshold(
  			    image.shape      ,			lowercase      ,			lowercase      ,			lowercase      ,			lowercase      ,			lowercase			)
  
  			track_edge(image.shape      ,			lowercase      ,			lowercase      ,			lowercase			)
  
  			return destination
  
  
  if __name__ == "__main__":
  	# read original image in gray mode
  	_a      :				List[str]											=					cva.imread(r"""../image_data/lena.jpg""", 0)
  	# canny edge detection
  	_a      :				Tuple											=					canny(lena)
  	cva.imshow("""canny""", canny_destination)
  	cva.waitKey(0)
  
  
style_context: 
  
  
  
  
  
  '''simple docstring'''
  
  
  
  
  
  
  
  import math
  import sys
  
  
  
  
  
  class 					_UpperCAmelCase							:
  		def __init__(						self    ):
  
  
  
  					'''simple docstring'''
  
  					__lowerCAmelCase      		=       0
  					__lowerCAmelCase      		=       []
  					__lowerCAmelCase      		=       {}  # To store the pos of node in array
  		def 						lowerCamelCase__    (						self    ):
  
  
  
  					'''simple docstring'''
  
  					return self.cur_size == 0
  		def 						lowerCamelCase__    (						self,__SCREAMING_SNAKE_CASE    ):
  
  
  
  					'''simple docstring'''
  
  					__lowerCAmelCase      		=       self.left(__SCREAMING_SNAKE_CASE    )
  					__lowerCAmelCase      		=       self.right(__SCREAMING_SNAKE_CASE    )
  					if lc < self.cur_size and self.array(__SCREAMING_SNAKE_CASE    )[0] < self.array(__SCREAMING_SNAKE_CASE    )[0]:
  								__lowerCAmelCase      		=       lc
  					else:
  								__lowerCAmelCase      		=       idx
  					if rc < self.cur_size and self.array(__SCREAMING_SNAKE_CASE    )[0] < self.array(__SCREAMING_SNAKE_CASE    )[0]:
  								__lowerCAmelCase      		=       rc
  					if smallest != idx:
  								self.swap(__SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE    )
  								self.min_heapify(__SCREAMING_SNAKE_CASE    )
  		def 						lowerCamelCase__    (						self,__SCREAMING_SNAKE_CASE    ):
  
  
  
  					'''simple docstring'''
  
  					__lowerCAmelCase      		=       self.cur_size
  					self.cur_size += 1
  					self.array.append((sys.maxsize, tup[1])    )
  					self.decrease_key((sys.maxsize, tup[1]),tup[0]    )
  		def 						lowerCamelCase__    (						self    ):
  
  
  
  					'''simple docstring'''
  
  					__lowerCAmelCase      		=       self.array[0][1]
  					__lowerCAmelCase      		=       self.array[self.cur_size - 1]
  					self.cur_size -= 1
  					self.min_heapify(1    )
  					del self.pos[min_node]
  					return min_node
  		def 						lowerCamelCase__    (						self,__SCREAMING_SNAKE_CASE    ):
  
  
  
  					'''simple docstring'''
  
  					return 2 * i + 1
  		def 						lowerCamelCase__    (						self,__SCREAMING_SNAKE_CASE    ):
  
  
  
  					'''simple docstring'''
  
  					return 2 * i + 2
  		def 						lowerCamelCase__    (						self,__SCREAMING_SNAKE_CASE    ):
  
  
  
  					'''simple docstring'''
  
  					return math.floor(i / 2    )
  		def 						lowerCamelCase__    (						self,__SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE    ):
  
  
  
  					'''simple docstring'''
  
  					__lowerCAmelCase      		=       j
  					__lowerCAmelCase      		=       i
  					__lowerCAmelCase      		=       self.array[i]
  					__lowerCAmelCase      		=       self.array[j]
  					__lowerCAmelCase      		=       temp
  
  
  
  
  
  
  
  		def 						lowerCamelCase__    (						self,__SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE    ):
  
  
  
  					'''simple docstring'''
  
  					__lowerCAmelCase      		=       self.pos[tup[1]]
  					# assuming the new_d is atmost old_d
  					__lowerCAmelCase      		=       (new_d, tup[1])
  					while idx > 0 and self.array[self.par(__SCREAMING_SNAKE_CASE    )][0] > self.array[idx][0]:
  								self.swap(__SCREAMING_SNAKE_CASE,self.par(__SCREAMING_SNAKE_CASE    )    )
  								__lowerCAmelCase      		=       self.par(__SCREAMING_SNAKE_CASE    )
  
  
  
  
  
  class 					_UpperCAmelCase							:
  		def __init__(						self,__SCREAMING_SNAKE_CASE    ):
  
  
  
  					'''simple docstring'''
  
  					__lowerCAmelCase      		=       {}  # To store graph: u -> (v,w)
  					__lowerCAmelCase      		=       num  # Number of nodes in graph
  					# To store the distance from source vertex
  					__lowerCAmelCase      		=       [0] * self.num_nodes
  					__lowerCAmelCase      		=       [-1] * self.num_nodes  # To store the path
  		def 						lowerCamelCase__    (						self,__SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE    ):
  
  
  
  					'''simple docstring'''
  
  					if u in self.adjList:
  								self.adjList[u].append((v, w)    )
  					else:
  								__lowerCAmelCase      		=       [(v, w)]
  
  					# Assuming undirected graph
  					if v in self.adjList:
  								self.adjList[v].append((u, w)    )
  					else:
  								__lowerCAmelCase      		=       [(u, w)]
  		def 						lowerCamelCase__    (						self    ):
  
  
  
  					'''simple docstring'''
  
  					for u in self.adjList:
  								print(__SCREAMING_SNAKE_CASE,"""->""",""" -> """.join(str(f'{v}({w})'    ) for v, w in self.adjList[u]    )    )
  		def 						lowerCamelCase__    (						self,__SCREAMING_SNAKE_CASE    ):
  
  
  
  					'''simple docstring'''
  
  					__lowerCAmelCase      		=       [-1] * self.num_nodes
  					# src is the source node
  					__lowerCAmelCase      		=       0
  					__lowerCAmelCase      		=       PriorityQueue()
  					q.insert((0, src)    )  # (dist from src, node)
  					for u in self.adjList:
  								if u != src:
  											__lowerCAmelCase      		=       sys.maxsize  # Infinity
  											__lowerCAmelCase      		=       -1
  
  					while not q.is_empty():
  								__lowerCAmelCase      		=       q.extract_min()  # Returns node with the min dist from source
  								# Update the distance of all the neighbours of u and
  								# if their prev dist was INFINITY then push them in Q
  								for v, w in self.adjList[u]:
  											__lowerCAmelCase      		=       self.dist[u] + w
  											if self.dist[v] > new_dist:
  														if self.dist[v] == sys.maxsize:
  																	q.insert((new_dist, v)    )
  														else:
  																	q.decrease_key((self.dist[v], v),__SCREAMING_SNAKE_CASE    )
  														__lowerCAmelCase      		=       new_dist
  														__lowerCAmelCase      		=       u
  
          # Show the shortest distances from src
  					self.show_distances(__SCREAMING_SNAKE_CASE    )
  		def 						lowerCamelCase__    (						self,__SCREAMING_SNAKE_CASE    ):
  
  
  
  					'''simple docstring'''
  
  					print(f'Distance from node: {src}'    )
  					for u in range(self.num_nodes    ):
  								print(f'Node {u} has distance: {self.dist[u]}'    )
  
  
  
  
  
  
  
  		def 						lowerCamelCase__    (						self,__SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE    ):
  
  
  
  					'''simple docstring'''
  
  					__lowerCAmelCase      		=       []
  					__lowerCAmelCase      		=       0
  					__lowerCAmelCase      		=       dest
  					# Backtracking from dest to src
  					while self.par[temp] != -1:
  								path.append(__SCREAMING_SNAKE_CASE    )
  								if temp != src:
  											for v, w in self.adjList[temp]:
  														if v == self.par[temp]:
  																	cost += w
  																	break
  								__lowerCAmelCase      		=       self.par[temp]
  					path.append(__SCREAMING_SNAKE_CASE    )
  					path.reverse()
  
  					print(f'----Path to reach {dest} from {src}----'    )
  					for u in path:
  								print(f'{u}',end=""" """    )
  								if u != dest:
  											print("""-> """,end=""""""    )
  
  					print("""\nTotal cost of path: """,__SCREAMING_SNAKE_CASE    )
  
  
  if __name__ == "__main__":
  	_a      :				str											=					Graph(9)
  	graph.add_edge(0, 1, 4)
  	graph.add_edge(0, 7, 8)
  	graph.add_edge(1, 2, 8)
  	graph.add_edge(1, 7, 1_1)
  	graph.add_edge(2, 3, 7)
  	graph.add_edge(2, 8, 2)
  	graph.add_edge(2, 5, 4)
  	graph.add_edge(3, 4, 9)
  	graph.add_edge(3, 5, 1_4)
  	graph.add_edge(4, 5, 1_0)
  	graph.add_edge(5, 6, 2)
  	graph.add_edge(6, 7, 1)
  	graph.add_edge(6, 8, 6)
  	graph.add_edge(7, 8, 7)
  	graph.show_graph()
  	graph.dijkstra(0)
  	graph.show_path(0, 4)
  
  # OUTPUT
  # 0 -> 1(4) -> 7(8)
  # 1 -> 0(4) -> 2(8) -> 7(11)
  # 7 -> 0(8) -> 1(11) -> 6(1) -> 8(7)
  # 2 -> 1(8) -> 3(7) -> 8(2) -> 5(4)
  # 3 -> 2(7) -> 4(9) -> 5(14)
  # 8 -> 2(2) -> 6(6) -> 7(7)
  # 5 -> 2(4) -> 3(14) -> 4(10) -> 6(2)
  # 4 -> 3(9) -> 5(10)
  # 6 -> 5(2) -> 7(1) -> 8(6)
  # Distance from node: 0
  # Node 0 has distance: 0
  # Node 1 has distance: 4
  # Node 2 has distance: 12
  # Node 3 has distance: 19
  # Node 4 has distance: 21
  # Node 5 has distance: 11
  # Node 6 has distance: 9
  # Node 7 has distance: 8
  # Node 8 has distance: 14
  # ----Path to reach 4 from 0----
  # 0 -> 7 -> 6 -> 5 -> 4
  # Total cost of path:  21
  
  